Answer:
There is a root between x=3 and x=5.
Step-by-step explanation:
Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.
FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,
Answer:
-12/5
Step-by-step explanation:
slope = change in y / change in x
change in y = 12 (from top to bottom) = 6 - (-6)
change in x = -5 (from top to bottom) = -2 -3
slope = 12/-5 = -12/5
A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.
The acceleration of the particle is 1 foot per second square
How to determine the acceleration of the particle?From the question, we have the following parameters that can be used in our computation:
Velocity function v(t) = −t2 + 5t − 3
Express properly
So, we have
v(t) = -t² + 5t − 3
At time t = 3 seconds, we have
v(3) = -(3)² + 5(3) − 3
Evaluate
v(3) = 3
So, we have
Acceleration = v(3)/3
This gives
Acceleration = 3/3
Evaluate
Acceleration = 1 foot per second square
Hence, the acceleration is 1 foot per second square
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1.2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
whats the answer?
Answer:
3(y^2 + 1) + 2(y+4)
Step-by-step explanation:
2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
= 2y^2 + y^2 + 6y - 4y + 8.9 - 8.6
= 3y^2 + 2y + 8(9-6)
= 3y^2 + 2y + 24
= 3y^2 + 2y + 3.2.2.2
= 3(y^2 + 1) + 2(y+4)
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.
y=49-x², y = 0
Therefore exact coordinates of Centroid = (0,3/2)
Define Centroid.The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.
What is Triangle?A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.
To find the y-coordinate:
Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3
The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2
Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)
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What is the image of the point (-7,-8) after a rotation of 180∘ counterclockwise about the origin?
Solve ^4√5x - 4 =1
A) x = 625
B) x = 81∕5
C) x = 25
D) x = 125
x=125
...............
Which equation justifies why ten to the one third power equals the cube root of ten?
ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten
ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
The equation that justifies ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B
How to justify the powerwe are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]
The justification has to be done with the use of the properties of powers as well as roots.
[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]
then we would have:
[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]
then we would have
[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]
= 10
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The opposite of the opposite of -2 is equal to
The opposite of the opposite of -2 is equal to: -2
This can be solved by using the concept of inverse.
What is inverse?This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.
The term inverse in mathematics refers to the inverse of another operation.
In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.
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An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________
(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________
a) The angular speed of the saw blade in radians per minute is;
460.77 radians per minute.
b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min
How to find angular and linear speed?a) Angular speed is defined as the speed of the object in rotational motion
The formula of the angular speed is; ω = θ / t
where;
ω is the angular speed
θ is the angular rotation
t is the time taken.
We are given;
In one revolution, the angle made is 2π radian.
In 4400 revolutions = 2π * 4400 radian
= 8800π radians
We know that ,
1 hour = 60 minute.
Thus;
Angular speed = 8800π/60
= 460.77 radians per minute
b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;
s = rω
where;
s is the linear speed
r is the radius
ω is the angular speed.
radius = 8 ¼ -inch/2 = 33/8 inches
Conversion from inches to feet gives;
33/8 inches = 0.34375 ft
Thus;
s = 0.34375/460.77
s = 7.46 * 10⁻⁴ ft/min
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Find a formula for RN for the function f(x) = (5x)² on [-1, 5] in terms of N.
Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.
Compute the area under the graph as a limit.
lim RN=1050
Therefore , R(N) = 100 + 400 (N+1)(2N+1) + 800 x N2 N3 and area are the formulas for R(N) for the function f(x) = (5x)2 on [1, 5] and the function f(x) = (5x)2 in terms of N. R(N) = 767(approx) (approx).
What is function?Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x variable such that f(x) = y, then the function is one-to-one.
Here,
In the given question, we have to find a formula for R(N) for the function f(x) =(5x)^2 on [1, 5] in terms of N.
The given function is f(x)=(5x)^2 on [1, 5].
Ax = (5-1)/N
Ax = 4/N
X = 1+iAx
X = 1+i4/N
f(x) = 25X^2
f(x) = 25(1+i4/N)^2
f(x) = 25(1+i8/N+16/N^2 i^{2})
R(N) = 1ƒ(X) Ax
Now putting the value of f(x) and Ax
R(N)==1 [25 (1+ &i + 16i2)]
R(N) = 1001 (1 +Ni + 16i2)
N100 (1+i+12)N
100 (N += i +122)+16 N(N+1)(2N+1)(+1)(2N+1)
R(N)=100 (N + √2/ N(N+1) x 100
R(N) =2/6× N + 100 × 5 × N(N+1) + 100 x 2
[tex]\lim_{n \to \infty}[/tex] R(N) = 100 + 400 + 800/3
[tex]\lim_{n \to \infty}[/tex] R(N) = 766.67
[tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx)
Therefore , the solution of the given problem of function comes out to be [tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx).
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a parking lot contains only cars and motor bikes. if there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?
Answer:
Step-by-Step:5 cars and 14 bikes
2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?
Answer:1 roll of ribbon left
Step-by-step explanation:
A bag contains 27 balls. The ratio of red to blue to yellow balls is 6:1:2 find how many red, blue and yellow balls there are
Answer:
18 red balls, 3 blue balls, 6 yellow balls.
Step-by-step explanation:
Ratios:a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.
In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.
In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.
Solving the Problem:Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".
Using this logic, we can set up the following equation:
[tex]6G+1G+2G=27[/tex]
For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.
[tex]9G=27[/tex]
Now divide by 9
[tex]G=3[/tex]
Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.
[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]
and you can all this together, to double check, which gives us 27.
Answer:
18,3,6
Step-by-step explanation:
Given ,
A bag contains 27 ballsThe ratio of red to blue to yellow balls is 6:1:2To Find : The number of red,blue and yellow balls present in the bag
Let us take the variable as 'x' to represent the number of balls in the bag
When we Put the values in a equation,
6x+x+2x = 27
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Hence the number of,
Red Balls = 6x = 6 x 3 = 18
Blue Balls = x = 3
Yellow Balls = 2x = 2 x 3 = 6
if you had had a dog and a cat how many horses would u have
Answer: a lot
Step-by-step explanation:
Answer:
ummmm none? maybe
Step-by-step explanation:
Given K (9,-9), L(2,-2), M(-9,-5), and N (5, y). Find y such that
KL_|_MN.
On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of [tex]X = -2[/tex]
y-coordinate of[tex]S = 4.[/tex]
S is given by: [tex](-2,4)[/tex]
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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of -2
y-coordinate of 4
S is given by: (-2,4)
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if its a linear equation in two variables
Answer:
SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.
Graph the first equation.
Graph the second equation on the same rectangular coordinate system.
Determine whether the lines intersect, are parallel, or are the same line.
Identify the solution to the system. ...
Check the solution in both equations.
Step-by-step explanation:
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
show that 2/4+1/4=3/4 and not 3/8 using pictures
Answer:
Here
Step-by-step explanation:
Step by step solution:
Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.
The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:
Given:
=2/4 + 1/4
=(2+1)/4
=3/4
Therefore, 2/4 + 1/4=3/4 and not 3/8
Note:
Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.To read more about "Fraction" here:
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Find the missing angle measure. Round to the nearest degree. cos 0 = 0.9563
The measure of the missing angle is 17 degrees.
Cosine as an example of trigonometric functions.Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.
Now considering the given question, we are to find the measure of the missing angle. We have;
cos θ = 0.9563
where θ is the missing angle the value of which is to be determined.
Thus, divide both sides of the expression by cos to have;
cos θ/ cos = 0.9563. cos
θ = cos^-1 0.9563
θ = 17.0 degrees
Therefore, the value of the missing angle is 17 degrees.
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12a-3b squared, when a=9, b=4
Answer:
60
Step-by-step explanation:
12a - 3b²
12(9) - 3(4)²
108 - 3(16)
108 - 48
60
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
19,22,25,28 the 11nth term
Answer:
31 hecause the èattern is adding 3
Step-by-step explanation:
8+ ((3² x 6)- 18) ÷ 9
Check
Annie is comparing the cost to ship a package. One shipping
pound a package weighs. Another shipping company charges $5 for
company charges $7 for the first pound and $0.20 for each additional
the first pound and $0.30 for each additional pound.
Part A
Which equation could be used to determine p, the number of
when the costs for the two shipping companies are the same?
7+0.20p = 5 +0.30p
7+20p = 5 + 30p
A7+0.30p=5+0.20p
B0.20+7p = 0.30 + 5p
Part B
Show
pounds,
For how many pounds is the cost of the two shipping companies the
same?
Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.
How to find pounds is the cost of the two shipping companies?The cost of shipping through two different companies will depend on a variety of factors.
These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.
Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).
To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.
Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.
It is important to note that companies may offer discounts or other incentives for shipping with them.
Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.
Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.
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S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent
Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.
Are the given expressions equivalent expressions?It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.
Since the given expressions are; S + S + S + S and 4S.
S + S + S + S can be written by factorisation as;
S ( 1 + 1 + 1 + 1 ) = S (4)
= 4S.
On this note, it can be inferred that the two expressions given are equivalent expressions.
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HELP! WILL GIVE BRAINLIEST
Answer:
Radical Approximation
of A=5√2
of B=2√13
of C is 3√7
Please answer!!!Thanks
The swim team trains 4 days every week on monday, tuesday and thursday. The swim team spends 1/2 hours in the gym followed by 1 1/4 hours in the pool. On saturday there is no gym but the swim time is doubled. How many hours per week does the swim team train?
Answer:
6 hours
Step-by-step explanation:
The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.
Therefore, the total time spent training each week is 6 hours.
1/2 hour in the gym plus 5 1/2 hours in the pool.
Answer: The swim team trains for 7 hours and 45 minutes a week.
Step-by-step explanation:
Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )
= 3( ½ + 5/4) + 2(5/4)
=31/4
= 7 ¾
Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.
Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.
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solve y=(1/2)x exponential graph
The value of the exponential graph y = ( 1/2 )ˣ is graphed
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
y = ( 1/2 )ˣ be equation (1)
On simplifying the equation , we get
y = 1 / (2ˣ)
Now , the graph of the function y = ( 1/2 )ˣ will be a slanting line which will not touch the x axis and passes through the point y = 1
The graph of the function y = ( 1/2 )ˣ is given below
Hence , the function is solved and the graph is plotted
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write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions
Answer:
4^5 = 1024
4×4×4×4×4 = 1024
Step-by-step explanation:
An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.
A product of factors is going to show the multiplication written out sort of in a long format:
4 × 4 × 4 × 4 × 4
4^5 = 1024
4×4×4×4×4 = 1024
Devin purchased a container of sport drink that contains 300 calories. The label says that 80% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer: 240 Calories are from Carbohydrates
Step-by-step explanation:
First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:
300 * 0.8 = 240 Calories.
98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
here, on solving company reduced the size of their percentage container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.
what is percentage ?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
The initial size was x.
Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.
90% of the original size is equal to 4.5 ounces,
hence the calculation we use to determine the original size x is:
0.9 x = 4.5 x
= 4.5 / 0. 9 x = 5
The bottle's initial capacity was 5 ounces.
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