320.041 - 47.96 multiple it for me

Answers

Answer 1

Answer:

320.041 - 47.96 = 272.081

Step-by-step explanation:

I need more information on what you want me to do.

Do you want me to:

Multiply 320.041 by 47.96?

Subtract 47.96 from 320.041?

Multiply the difference between 320.041 and 47.96 by 47.96?

Multiplying 320.041 by 47.96 gives 152,399.6896.

Subtracting 47.96 from 320.041 gives 272.08.

Multiplying the difference between 320.041 and 47.96 by 47.96 gives 13049.0048.


Related Questions

A roller for construction work is 5 feet in diameter. When the roller has made one turn, how far has it
traveled?

Answers

Answer:

Approximately 15.7 ft

Step-by-step explanation:

We want to find the circumference of the circle

C = pi * diameter

C = pi *5

C = 5pi ft or approximately 15.7 ft

The distance traveled by the roller when it has made one turn is equal to its circumference. The formula to find the circumference of a circle is:

C = 2πr

where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

We are given that the diameter of the roller is 5 feet. The radius of the roller is half of the diameter, which is:

r = d/2 = 5/2 = 2.5 feet

Substituting this value in the formula for the circumference, we get:

C = 2πr = 2π(2.5) = 5π

Therefore, when the roller has made one turn, it has traveled a distance equal to 5π feet (approximately 15.7 feet).

Precision manufacturing: A process manufactures ball
bearings with diameters that are normally distributed
with mean 25.1 millimeters and standard deviation
0.08 millimeter.
a. Find the 60th percentile of the diameters.
b. Find the 32nd percentile of the diameters.
c. A hole is to be designed so that 1% of the ball bearings will
fit through it. The bearings that fit through the hole will be
melted down and remade. What should the diameter of the
hole be?

Answers

a. To find the 60th percentile of the diameters, we need to find the diameter that separates the smallest 60% of the diameters from the largest 40%. We can use a standard normal distribution table to find the z-score that corresponds to the 60th percentile:

z = invNorm(0.6) = 0.2533

Now we can use the formula z = (x - mu) / sigma to find the diameter x that corresponds to this z-score:

0.2533 = (x - 25.1) / 0.08

x - 25.1 = 0.020264

x = 25.120264

Therefore, the 60th percentile of the diameters is 25.120264 millimeters.

b. To find the 32nd percentile of the diameters, we need to find the diameter that separates the smallest 32% of the diameters from the largest 68%. We can use a standard normal distribution table to find the z-score that corresponds to the 32nd percentile:

z = invNorm(0.32) = -0.4472

Now we can use the formula z = (x - mu) / sigma to find the diameter x that corresponds to this z-score:

-0.4472 = (x - 25.1) / 0.08

x - 25.1 = -0.035776

x = 25.064224

Therefore, the 32nd percentile of the diameters is 25.064224 millimeters.

c. To find the diameter of the hole, we need to find the diameter that separates the smallest 1% of the diameters from the largest 99%. We can use a standard normal distribution table to find the z-score that corresponds to the 1st percentile:

z = invNorm(0.01) = -2.3263

Now we can use the formula z = (x - mu) / sigma to find the diameter x that corresponds to this z-score:

-2.3263 = (x - 25.1) / 0.08

x - 25.1 = -0.186104

x = 24.913896

Therefore, the diameter of the hole should be 24.913896 millimeters.

A recipe uses 3/4 teaspoon of cinnamon for every 4 cups of granola mix.
How many teaspoons are needed for 12 cups of granola mix?

Answers

Okay, here are the steps to solve this problem:

* The recipe calls for 3/4 teaspoon of cinnamon for every 4 cups of granola mix.

* So for 1 cup of granula mix, you need 3/4 / 4 = 3/12 teaspoon of cinnamon.

* For 12 cups of granula mix, you would need 12 * (3/12) = 3 teaspoons of cinnamon.

Therefore, for 12 cups of granola mix you would need 3 teaspoons of cinnamon.

Help asap math homework

Answers

it would be 85 degrees since there is a 30 beside then the 55 degrees is given
it’s 275. i just learned this in class
u need to find the measure of arc GK to get arc HGJ. add all the given numbers and minus it from 360; a full circle. u would get 50, so then add HG, GK, and KJ which is 155+50+70 to get 275

What are the values of w and x?

Answers

The angle measures of w and x are given as follows:

w = 51º.x = 78º.

How to obtain the angle measures?

In this problem we have an isosceles triangle, meaning that two of the side lengths, along with two of the angle measures, are congruent.

The congruent side lengths are given as follows:

SR and RQ.

Hence the congruent angle measures are given as follows:

w -> opposite to SR.51º -> opposite to RT.

Hence angle w is given as follows:

w = 51º.

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle x is given as follows:

x + 2 x 51 = 180

x = 180 - 102

x = 78º.

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A 9v battery produces a current of 18 amps. What is the resistance

Answers

If a 9v battery produces a current of 18 amps then the resistance of the circuit element is 0.5 ohms.

We can use Ohm's law to determine the resistance (R) of a circuit element

Given the voltage (V) and current (I) through it:

R = V / I

In this case, the voltage (V) is 9 volts and the current (I) is 18 amps. Substituting these values into the formula, we get:

R = 9 V / 18 A

Simplifying the expression on the right-hand side, we get:

R = 0.5 Ω

Therefore, the resistance of the circuit element is 0.5 ohms.

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URGENT PLEASE HELP !!!

Answers

The correlation coefficient for the data-set in this problem is given as follows:

r = 0.75.

How to obtain the correlation coefficient?

To obtain the correlation coefficient of the data-set in this problem, we must insert the points of the data-set into a correlation coefficient calculator.

From the table, the points of the data-set are given as follows:

(0, 5.9), (0.8, 8.6), (1.3, 15.5), (1.6, 17.3), (13.3, 21.5).

Inserting these points into a calculator, the correlation coefficient is given as follows:

r = 0.75.

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Marcus and Tony work for Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 9 hours. Tony lays the same size slab in 3 hours. If both work on the job and the cost of labor is $48.00 per hour, decide what the labor estimate should be.​

Answers

If both Tony and Marcus work on the job and the cost of labor is $48.00 per hour then labor estimate for the job is $576.00.

Marcus: 1 slab / 9 hours = 1/9 slab per hour

Tony: 1 slab / 3 hours = 1/3 slab per hour

The total amount of work they can do in one hour is the sum of their individual rates:

Marcus and Tony: 1/9 + 1/3 = 4/9 slab per hour

So together, Marcus and Tony can lay 4/9 of a slab per hour.

time = work / rate

time = 1 / (4/9) = 2.25 hours

total labor cost = hours worked x cost per hour

The total number of hours worked is the sum of the hours worked by Marcus and Tony:

total hours worked = 9 hours + 3 hours = 12 hours

The cost per hour is $48.00, so the labor estimate for the job is:

total labor cost = 12 hours x $48.00/hour

= $576.00

Therefore, the labor estimate for the job is $576.00.

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We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?

A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated

Answers

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

solve for x input numerical value only!! solve asap!!! for brainlist

Answers

The value of x in the rectangle is,

⇒ x = 6

We have to given that;

Corresponding angles are,

⇒ (8x + 19)° and (21x - 13)°

Hence, We can say that;

⇒ (8x + 19)° + (21x - 13)° = 180°

⇒ 29x + 6 = 180

⇒ 29x = 174

⇒ x = 174/29

⇒ x = 6

Thus, The value of x in the rectangle is,

⇒ x = 6

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Which angles are adjacent to AGC? Select all that apply.

Answers

Please show more information

Can someone please explain this to me?

Answers

[tex]\textit{since we know that }\triangle FGH \cong \triangle CDE \\\\[-0.35em] ~\dotfill\\\\ HF=EC\implies -3s+44=-3t+50 \\\\\\ HG=ED\implies 6s=t+43\implies \boxed{6s-43=t} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{-3s+44=-3(6s-43)+50}\implies -3s+44=-18s+129+50 \\\\\\ 15s+44=129+50\implies 15s+44=179\implies 15s=135 \\\\\\ s=\cfrac{135}{15}\implies \boxed{s=9}\hspace{9em}\stackrel{ 6(9)-43 }{\boxed{t=11}}[/tex]

Help on Part A and B​

Answers

Answer:

The Correct answer is B

Step-by-step explanation:

The answer is option b

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WX?

Answers

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, the length of side WX is 13 mm.

If the scale factor of figure STUV to figure WXYZ is 3:1, it means that every length in figure STUV is three times longer than the corresponding length in figure WXYZ.

To find the length of side WX, we need to first identify the corresponding sides of the two figures. We know that ST is three times longer than W, and SV is three times longer than Y. So, we can set up the following proportion:

ST/WX = SV/YZ

Substituting the given values, we get:

39/WX = 51/YZ

We need to find the value of WX, so we can solve for it by cross-multiplying the proportion:

39 * YZ = 51 * WX

Since we don't know the value of YZ, we need to find it in terms of WX. We can use the scale factor of 3:1 to relate the lengths in the two figures:

ST = 3 * W

SV = 3 * Y

Substituting the first equation, we get:

W = ST/3 = 39/3 = 13 mm

Substituting the second equation, we get:

Y = SV/3 = 51/3 = 17 mm

Now we can substitute these values into the proportion:

39/WX = 51/17

Solving for WX, we get:

WX = (39 * 17) / 51 = 13 mm

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Complete question is:

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WX?

Help now quickly will give brainlist

Answers

Answer:

x = - 12

Step-by-step explanation:

the central angle subtended by the arc with measure 45° are congruent, that is central angle is 45°

the 3 angles on the diameter then sum to 180° , that is

45 + 65 + x + 82 = 180

x + 192 = 180 ( subtract 192 from both sides )

x = - 12

WHAT IS THE 3 KINDS OF SYSTEM OF LINEAR EQUATION ACOORDING TO THE No. OF SOLUTIONS BRAINLY

Answers

The types of systems of linear equations are as follows:

Dependent: The system has infinitely many solutions. The graphs of the equations represent the same lines. Example:

. The system has infinitely many solutions.

Independent: The system has exactly one solution. The graphs of the equations intersect at a single point.

Inconsistent: The system has no solution. The graphs of the equations are parallel lines.

Why do you think influences exchange rates?

(Subject: Economics)

Answers

interest and inflation
Several factors can influence exchange rates, including interest rates, inflation, political stability, economic performance, and global events.

Find the volume of the right cone below. Round your answer to the nearest tenth if necessary.
16
7

Answers

The volume of the given right cone is approximately 597.9 cubic units.

In this problem, we are going to find the volume of a right cone. A cone is a three-dimensional object that has a circular base and tapers to a point. The term "right" means that the axis of the cone is perpendicular to its base. The formula for the volume of a right cone is V = (1/3)πr²h, where V is the volume, r is the radius of the circular base, and h is the height of the cone.

Now, let's apply this formula to the given cone. We are given that the radius of the circular base is 16 and the height of the cone is 7. So, we can substitute these values into the formula to get:

V = (1/3)π(16)²(7) V = (1/3)π(256)(7) V = (1/3)(1,792π) V ≈ 597.9

We round our answer to the nearest tenth as requested. So, the final answer is V ≈ 597.9.

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An amount of $290,000 is borrowed for a periad of 25 years loan is below. Payments of $1, 530.73 are made monthly Payment # Payment Interest Debt Payment 1 1,530.73 966.67 564.06 N 1,530.73 964.79 565.94 3 1,530.73 962.90 567.83 4 5 rest rate of 4%. The amortization schedule for this Balance 289, 435.94 288, 870.00 288,302.17 Calculate 2, the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include com or the dollar sign in your answer.

Answers

The balance on the loan at the end of month 4 is approximately $289,836.23.

We are given that;

Amount borrowed= $290,000

Time 25 years

Payment=  $1, 530.73

Now,

To calculate the balance on the loan at the end of month 4, we can use the following formula2:

Balance = (Loan amount - Debt payment) * (1 + Interest rate / 12) - Debt payment

Where:

Loan amount is the original amount borrowed ($290,000)

Debt payment is the amount of principal paid in each monthly payment ($564.06 for the first month and $565.94 for the second month)

Interest rate is the annual interest rate divided by 100 (0.04)

Plugging in the values, we get:

Balance = ($290,000 - $564.06) * (1 + 0.04 / 12) - $565.94 Balance = $289,435.94 * 1.003333 - $565.94 Balance = $290,402.17 - $565.94 Balance = $289,836.23

Therefore, by the interest the answer will be $289,836.23.

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Select the statement that is not true.

A. The translation of a line is a pair
of parallel lines.

B. The rotation of a pair of parallel lines is a pair of parallel lines.

C. The reflection of a line is a line.

D. The rotation of a line is a line.

Answers



Answer: B. The rotation of a pair of parallel lines is a pair of parallel lines.

Explanation: A translation of a line is a displacement of the line, or a transformation which moves all points of the line, without changing its shape or orientation. This means that a pair of parallel lines will remain parallel after a translation.

A rotation of a line is a transformation in which all points of the line are rotated around a pivot point, and the line will change its orientation.

A reflection of a line is a transformation in which all points of the line are reflected across a single axis. This means that a line will remain a line after a reflection.

Therefore, the statement that is not true is B. The rotation of a pair of parallel lines is a pair of parallel lines.

a cable technician working fo the local cable company needs to lay down cable down through the neighborhood below. He is unsure how much cable cable he needs, though. Use the pythagorean theorem to help him find the length in feet of cable he needs to fufill his duty

Answers

To use the Pythagorean theorem to find the length of cable the technician needs, we need to know the distance he needs to cover and the height difference between the two points.

Let's say the distance he needs to cover is 1000 feet and there is a height difference of 200 feet between the two points.

Using the Pythagorean theorem, we can find the length of cable he needs:

c² = a² + b²

where c is the length of the cable, a is the distance he needs to cover, and b is the height difference between the two points.

Plugging in the values we have:

c² = 1000² + 200²

c² = 1,040,000

c = √1,040,000

c ≈ 1,020.62

Therefore, the technician needs approximately 1,020.62 feet of cable to fulfill his duty.

• What is the cost price of a bag if it was sold for Rs 500 at a loss of 5%? ​

Answers

Answer:

526.32

Step-by-step explanation:

Let's assume that the cost price of the bag is "C".

Selling Price = Cost Price - Loss

We get:

500 = C - 0.05C

500 = 0.95C

C = 500/0.95

C ≈ 526.32

Therefore, the cost price of the bag was approximately Rs 526.32.

An urn contains 10 red balls, 20 yellow balls, and 60 orange balls. If you reach into the urn and select a single ball at random, what is the probability of selecting a orange ball?

Answers

Answer:

2/3 or 67%

Step-by-step explanation:


To find the exact probability for you to reach into the orange balls you'll have to do a data table on which you'll include how many orange balls are by the total amount of balls that are within the urn.

For example:
The urn contains:

* 10 red balls
* 20 yellow balls
* 60 orange balls

Total amount of balls that you have on the urn is 90, you'll get this result by doing a simple addition of the table of content.

Afterwards, we have to find the probability, so you will have to take the amount of orange balls (which is 60) and divide it by 90 (Which is the total amount of balls you have on the urn).

60/90

A quick tip for you to do this on a simplified manner is by dividing the numerator and the denominator by their greatest common divisor (Which in this case is 30) (30x2 = 60) (30x3 = 90)

60/90 = (60 divided 30) / (90 divided 30) = 2/3

To resolve this problem, we get that the probability of selecting an orange ball is 2/3 or approximately 0.67 which we'll simplify to 67%

I hope this helped you

Can you explain why you need to multiply x and y (and not add x and y) when you are adding
logarithms?

Answers

The exponent by which base b must be raised to get a positive real number an is the logarithm of a positive real number a with regard to base b, a positive actual number that is not exactly one.

What is a logarithm?

A logarithm is the power to which a number must be raised in order to receive extra values. The simplest approach to express really large numbers is in this way. A number of important features of a logarithm demonstrate the fact that multiplication and division of logarithms can also be used to represent addition and subtraction logarithms.

The exponent by which base b must be raised to get a positive real number an is the logarithm of a positive real number a with regard to base b, a real number that is positive but not equal to one.

i.e., [tex]b^y=a[/tex] ⇔ [tex]log_b[/tex] a = y

In this case, "A" and "B" are two positive real numbers.

Y is an actual number.

Argument occurs inside the log as "a" by the name argument.

It is said that the base, or "b," is at the bottom of the log.

To put it another way, the logarithm provides a solution to the problem of "How many times is a number divided to get the other number?"

How numerous times must three be multiplied, for instance, to yield the number 27?

27 is the outcome of multiplying 3 times by 3.

Consequently, the logarithm is 3.

The logarithm form is written as follows:

[tex]log_3[/tex] (27) = 3 - equation 1

The base 3 logarithm of 27 is therefore 3.

It is also possible to write the above logarithm form as:

3x3x3 = 27

3³ = 27 - equation 2

Equations (1) and (2) are hence equivalent.

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how many square killometers

Answers

Answer:

120 km²

Step-by-step explanation:

You just need to add all areas, (3×5) + (9×3) + (13×6) = 15 + 27 + 78 = 120

Base twelve needs twelve digits, so we use t for ten and e for eleven and our usual ten digits. What base ten number does 1t5e twelve represent?

Answers

Therefore, 1t5e twelve represents the number 3239 in base ten.

what is system of equations?

A system of equations is a set of two or more equations with the same variables. The solution to a system of equations is a set of values for the variables that satisfy all the equations in the system simultaneously.

For example, consider the following system of two equations:

x + y = 5

2x - y = 3

This is a system of two equations with two variables, x and y. The solution to this system is the values of x and y that make both equations true at the same time. In this case, the solution is x = 2 and y = 3, because when we substitute these values into the equations.

In base twelve, the place values increase by a factor of twelve at each position, starting from the rightmost position. The rightmost position has a place value of 1, the next position to the left has a place value of 12, the next position to the left has a place value of 12^2 = 144, and so on.

To convert the number 1t5e in base twelve to base ten, we need to multiply each digit by its corresponding place value, and then add up the results:

1t5e (base twelve) = 1 * 12^3 + 10 * 12^2 + 5 * 12^1 + 11 * 12^0

= 1 * 1728 + 10 * 144 + 5 * 12 + 11 * 1

= 1728 + 1440 + 60 + 11

= 3239

Therefore, 1t5e twelve represents the number 3239 in base ten.

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Does each of these graphs have an Euler circuit? If so, find it.

Answers

Only first figure of graph have an Euler circuit.

We have to given that;

There are 3 graphs are shown in figure.

Since, A graph has an Euler circuit if and only if the degree of every vertex is even.

Hence, In first graph,

Every vertex have even degree with 2 or 4.

Thus, It shows an Euler circuit.

In second graph,

Some vertex have odd degree with 3.

Hence, It does not shown an Euler circuit.

In third graph,

Some vertex have odd degree with 3.

Hence, It does not shown an Euler circuit.

Thus, Only first figure of graph have an Euler circuit.

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Find the tangent of each angle that is not the right angle.
Drag and drop the numbers into the boxes to show the tangent of each angle.

Answers

The solution is,  the tangent of each angle that is not the right angle is:

angle tan A = 1.33

angle tan B = 0.75

Here, we have,

Given:

ABC is a right triangle.

angle ACB = 90

To find:

tan A

tan B

We know that tangent of an angle is given by the ratio

= opposite / adjacent

The opposite side and adjacent side is taken with respect to the angle for which the tangent is to be found.

tan A = BC/ AC

         = 8/6

         = 4/3

         = 1.33

and, tan B = AC/BC

                 = 6/8

                 =0.75

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Janeesa lives 247.5 miles away from her grandmother, and the speed limit on that stretch of
highway is 55 miles per hour. Today, she only has 4 hours to get to her grandmother's birthday
lunch on time!
How much faster over the speed limit does Janeesa need to drive to make it on time? Round to the
tenths place if your answer isn't a whole number.
mph.

Answers

To find out how fast Janeesa needs to drive to make it on time, we can use the formula:

distance = rate x time

In this case, the distance is 247.5 miles, the time is 4 hours, and the rate is what we're trying to find. Rearranging the formula to solve for rate, we get:

rate = distance / time

Plugging in the values we know, we get:

rate = 247.5 / 4 = 61.875

So Janeesa needs to travel at an average speed of 61.875 miles per hour to make it to her grandmother's birthday lunch on time. Since the speed limit is 55 miles per hour, she would need to drive 6.875 miles per hour faster than the speed limit. Rounding to the tenths place, that's about 6.9 miles per hour over the speed limit. However, it's important to remember that speeding is dangerous and can result in serious accidents. It's always better to leave earlier and plan ahead to avoid the need to speed.

Janeesa needs to drive about 6.9 mph faster than the speed limit to make it on time.

What is the  speed limit

To find out how fast Janeesa needs to drive to make it on time, one can use the formula:

distance = rate x time

In this case, the distance is 247.5 miles, the time is 4 hours, and the rate is what we're trying to find. Rearranging the formula to solve for rate, we get:

rate = distance / time

Plugging in the values we know, we get:

rate = 247.5 / 4 = 61.875

To know how much faster Janeesa needs to drive, one has to subtract the speed limit from the required speed:

Speed Difference = Required Speed - Speed Limit

= 61.875 mph - 55 mph

 = 6.875 mph

Therefore, Janeesa needs to drive approximately 6.9 mph faster than the speed limit to make it on time.

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Estimate, correct to three decimal places, all the zeros of the following polynomials. (Enter your answers as comma-separated lists.)

(a) P(x) = 4x³5x² - 2x + 1
X=

(b) P(x) = 5x³+x² - 7x-2
X=

(c) P(x) = 2x³-6x² - 5x + 4
X=

(d) P(x)=x² - 4x³ + 5x - 1
X=

Answers

(a) P(x) = 4x³ + 5x² - 2x + 1
The zeros of P(x) are approximately -1.160, -0.086, and 0.246.

(b) P(x) = 5x³ + x² - 7x - 2
The zeros of P(x) are approximately -1.518, -0.471, and 0.660.

(c) P(x) = 2x³ - 6x² - 5x + 4
The zeros of P(x) are approximately -1.343, 0.515, and 1.828.

(d) P(x) = x² - 4x³ + 5x - 1
The zeros of P(x) are approximately -0.408 and 1.225.
Other Questions
a radioactive material decays at a rate of change proportional to the current amount, qqq, of the radioactive material. which equation describes this relationship?a. dt -okt b. dQ dt = -kQ c. Q(t) = -Qkt d. Q(t) = -kQ A 39) Parallelogram PQRS is shown on the coordinate plane below. Which of these transformatiors will take parallelogramPQRS onto itself?RSA. a reflection over the line x = -5B.a reflection over the liney = -5C.a rotation of 180 clockwise about the center of the parallelogram.D. a rotation of 360 counterclockwise about the center of theparallelogram. PLSSS ANSWER ASAP!! || Draw a zoom in of a snot worm. Things to think about/include:- are the snot worms octopus and ellpout doing photosynthesis or cellular respiration?- where are the inputs coming from?- what are the outputs? Which of the following statements regarding spermatogenesis and oogenesis is true?(a) Spermatogenesis begins at birth.(b) Oogenesis begins at puberty.(c) Meiosis in oogenesis produces one mature egg from one primary oocyte. Part 1: Combinations and Permutations: Winning the LotteryTo win the Powerball jackpot you need to choose the correct five numbers from the integers 1-69 as well as pick the correct Powerball which is one number picked from the integers 1- 26.The order in which you pick the numbers is not relevant. You just need to pick the correct fivenumbers in any order and the correct Powerball.Because there is only one correct set of five numbers and one correct Powerball, the probabilityof winning the jackpot would be calculated as:#of ways of choosing the correct numbers# of ways of choosing the numbers1/292,201,338To calculate the "# of ways of choosing the numbers" we use combinations.The expression for combinations is nCk, where n is the number of items available to be chosenfrom and k is the number of items chosen.For the portion of Powerball where 5 numbers are chosen from 1-69, n-69 and k=5. Thenumber of ways to choose five numbers from the integers 1-69 is calculated as:Ck/n!/kl (n-k)!=>69c5=69/5(69-5)!The symbol! is called "factorial." The Factorial of a Natural Number is the product of thenumber and all natural numbers below it.For instance, 4! = 4-3-2-1 = 24.So Cs can be simplified as:69c5= 69!/5!( 69-5)!= 69-68-67-66-65-641/5!64!= 69-68-67-66-65/5!=11,238,513 A voltaic cell is constructed with Cr/Cr3+ at one half cell and Cu/Cu2+ at the other. Both half cells are at standard conditions. a. Write the reaction that takes place at the anode.b. Write the reaction that takes place at the cathode. c. Write the balanced net ionic equation for the spontaneous reaction. d. Sketch the cell. e. Calculate the standard cell potential, Eo for the reaction in this cellf. Would it be better to use Na2S04 or BaS04 in the salt bridge? Explain what interactions occur to cause the visible agglutination of the bd bbl staphyloside latex test? Select the property of equality used to arrive at the conclusion. If x + 8 = 10, then x = 2. the multiplication property of equality the subtraction property of equality the division property of equality Tabulate all of the possible orbitals (by name, i.e. 4s) for n=4 and give the three quantum numbers which define each orbital. It is estimated that about two-thirds of Americans have hypertension or prehypertension. Fortunately, some risk factors can be controlled by changes in an individuals diet or lifestyle. Choose the statement below that correctly describes hypertension.a. Individuals with hypertension should aim for a diastolic blood pressure of less than 120 mm Hg.b. Regular exercise and weight loss can help reduce blood pressure.c. People who are salt resistant experience an increase in blood pressure after high salt consumption.d. The DASH diet emphasizes low-sodium, low-potassium foods to help manage hypertension. provide the structure of the 1,4-addition product for the reaction of 1,3- hexadiene with br2/ccl4 Use the Euclidean Algorithm to decide whether the equation below is solvable in integers x and y.637x + 259y = 357 how many c atoms are present in the sample of c3h8 with mass 3.21 g? avogadros number is 6.022 1023. enter your answer using scientific notation and to three significant digits. Use the drop-down menus to complete the statements.42 is 32 + 32.Therefore, JKL is .52 is 32 + 42.Applying the same method, ABC is The Toso Company uses the retail inventory method. The following information is available for the year ended December 31, 2024: Cost Retail Inventory 1/1/2024 $ 390,000 $ 650,000 Purchases for the year 1,446,000 1,960,000 Freight-in 34,000 Purchase returns 78,000 125,000 Net markups 75,000 Net markdowns 45,000 Net sales 1,845,000 Applying the average cost retail inventory method, Toso's inventory at December 31, 2024, is estimated at: Multiple Choice $405,035. $477,392. $469,000. $395,159. find the area under the curve that lies between z=0.36 and z=1.68. if a cardiologist inserts a catheter into a patient's right femoral artery which arteries would they need to pass in order to reach the entry of the left coronary artery Is 3.2 x 10^3 an irrational or rational Sketch the root locus of the armature-controlled de motor model in terms of the damping constant c, and evaluate the effect on the motor time constant. The characteristic equation isLqIs? + (RqI +cLa)s +cRg+KoKy = 0 Use the following parameter values:Kb = Kt = 0.1 N.m/A I = 12 x 10-5 kg.m? Ra = 2 2 La = 3 x 10-3 H fewer behavior issues in schools and more law-abiding citizens in society. Ancient Chinese Philosophy and Why