WHATS X SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT AND EXPLAIN HOW U GOT THE ANSWER

WHATS X SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT AND EXPLAIN HOW U GOT THE ANSWER

Answers

Answer 1
since both intersecting lines are straight,
the angle opposite 45° also equals to 45°, as they are vertically opposite angles.

thus,
45°+45°+x+x = 360° (sum of angles at a point)
2x = 360°-90°
2x = 270°
x = 135°

Related Questions

jackson wants to test an assumption on the number of red candies in a bag of fruity tooty's candy. the company claims that five flavors are given an equal distribution in each bag, meaning that the proportion of each color should be 20%. jackson decides to focus his efforts on examining whether there is a difference in the proportion of red candies than what the company claims. what should jackson state for the null hypothesis and alternative hypothesis?

Answers

Jackson should correctly phrase both the alternative hypothesis and the null hypothesis as follows:

b. )

p = 0.20 indicates a null result.

A different result: p ≠ 0.20

What exactly is null hypothesis?

A specific type of statistical hypothesis known as a null hypothesis claims that no statistical significance can be established in a given set of facts. One can assess the truthfulness of a hypothesis through the use of sample data in hypothesis testing. It is represented by the letter H0 and is also sometimes referred to as the "null."

The conjecture, also known as the null hypothesis, is a tool used in quantitative analysis to examine the validity of beliefs about markets, economies, and investment strategies.

A null hypothesis is a form of speculation that asserts that specific characteristics of a population or data collection method are not distinct from one another in statistics.

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The average test score of RSM students in September increased by 10%. In October it increased by another 15%. By what percent did the average score on the test increase during the two months? PLS PROVIDE SHOW OF STEPS!

Answers

The percent that the average score on the test increased during the two months is 12.5%.

By what percent did the average score on the test increase during the two months?

It should be noted that mean simply means the average of a set of numbers that are given. In this case, the average test score of RSM students in September increased by 10%. In October it increased by another 15%..

The average of the increase will be:

= (10% + 15%) / 2

= 25% / 2

= 12.5%

The average is 12.5%.

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How can I get my SSS E1 number?

Answers

You can locate your SSS loan number scrawled on the upper right corner of your E-1 form if you applied for one in 2015 or earlier and still have a copy of it.

The personal information of an SSS member is contained on the SSS E1 form (also known as the E-1 form). Prior to receiving a social security number, a person must submit the E1 form to apply for membership in the Social Security System.

The applicant must complete the form with his personal data (such as name, date of birth, and home address), a list of dependents or beneficiaries, and, if self-employed, his profession or company.

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For what value of k are the roots of the quadratic equation 3x² 2kx 27/0 real and equal?

Answers

The value of k is 9 for quadratic equation 3x²+2kx+27=0 whose roots are real and equal.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation 3x²+2kx+27=0

Here, a=3,b=2k,c=27

It is given that roots are real and equal.

b²-4ac=0

(2k)²-4(3)(27)=0

4k²-324=0

4k²=324

Divide both sides by 4

k²=81

Take square root on both sides

k=±9

Hence, the value of k is 9 for quadratic equation 3x²+2kx+27=0 whose roots are real and equal.

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Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.

Answers

The value of x° and y° are 26.8° and  86.2°.

What is rounding to tenth?

Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5.

The length of sides of the triangle are 8, 6, and 5.

Assume that AB = c = 6, BC = a = 5, and AC = b = 8

m∠A = x° and m∠B = y°.

Cosine law:

c² = a² + b² - 2ab cos C  ....(i)

b² = a² + c² - 2ac cos B  ....(ii)

a² = b² + c² - 2bc cos A  ....(iii)

Putting a = 5, b = 8, c = 6, and A = x° in law (iii)

5² = 8² + 6² - 2×8×6 cos x

25 = 64 + 36 - 84 cos x

84 cos x = 75

cos x = 75/84

x = 26.76°

x = 26.8°  (nearest tenth)

Putting a = 5, b = 8, c = 6, and B = y° in law (ii)

8² = 5² + 6² - 2×5×6 cos y

64 = 25 + 36 - 60 cos y

60 cos y = 4

cos y = 4/60

y =86.177°

y =86.2°

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How high above the water is the roadway in meters? Round to the nearest hundredth. (199 ft)

Answers

199 feet in meters

1 foot = 0.3048 meters

[tex]0.3048(meters)\times199(feet)[/tex]

[tex]=\fbox{60.66}[/tex]

can anyone help me?

Answers

Answer:

a. 648

Step-by-step explanation:

Deposit= Principal= p

Interest rate = R

Time= T

Simple Interest = P x T X R X 0.01

= 5400 x 6 x 2 x 0.01

=648

need help
please and thank you

Answers

Answer:

98 laps

Step-by-step explanation:

(5x 14) + (2 x 14)

70+ 28 =98

What is the vertex of the graph of f x )=[ x 5 ]- 6?

Answers

The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Darcy is buying a new couch that cost $999.00. She has two payment options.

Option 1: Pay with credit card. The card charges 20.00% annual interest and Darcy expects to pay off the charge in 30 days.

Option 2: Take the store promotion of 15 monthly payments of $70 (including tax)

a) Calculate the total cost of each option
b) What is the annual interest rate being charged with Option 2?

Please show your work. ​​

Answers

Answer:

Step-by-step explanation: a) To calculate the total cost of the couch when paid with a credit card, we need to calculate the amount of interest that will be charged. To do this, we first need to calculate the monthly interest rate by dividing the annual interest rate by 12. In this case, the monthly interest rate is 20/12 = 1.67%.

Next, we need to multiply the cost of the couch by the monthly interest rate to find the amount of interest that will be charged. In this case, the amount of interest is 999 * 1.67% = 16.67.

Finally, we need to add the amount of interest to the cost of the couch to find the total cost when paid with a credit card. In this case, the total cost is 999 + 16.67 = 1015.67.

To calculate the total cost of the couch when paid with the store promotion, we simply need to add up all 15 monthly payments. In this case, the total cost is 15 * 70 = 1050.00.

b) To calculate the annual interest rate being charged with Option 2, we need to divide the total cost of the couch by the number of monthly payments and then multiply by 12. In this case, the annual interest rate is (1050/15)*12 = 96%.

f(x)=x^3+8g(x)=4x^3−5x−8
find (f+g)(x)

A.
5x³-5x

B.
5x³-5x+16

C.
5x³-5x-16

Answers

The value of the sum of the functions f(x) and g(x), (f + g)(x) is 5x³ - 4x.

What is a function?

The outputs for a certain set of inputs can be referred to as a function.

A function's inputs are referred to as its independent variables, while its outputs are referred to as its dependent variables.

Given, f(x) = x³ + 8 and g(x) = 4x³ - 5x - 8.

Let, f(x) = x³ + 0x + 8.

We know, (f + g)(x) = f(x) + g(x).

Therefore, (f + g)(x) = (x³ + 0x + 8) + (4x³ - 5x - 8).

(f + g)(x) = x³ + 4x³ + 0x - 4x + 8 - 8.

(f + g)(x) =  5x³ - 4x.

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Your mom wants to buy you a box of Squishmallows for $54.99. She has a 25% coupon.

a) What is the amount of discount? Make sure you round to the nearest cent.

b) What is the sale price?

Answers

Answer:

a) $13.75

b) $41.24

Step-by-step explanation:

Original price: $54.99

Discount: 25%

Amount of discount: 25% of $54.99 = 25/100 × $54.99 = 0.25 × $54.99 = $13.75

Sale price: $54.99 - $13.75 = $41.24

What is the inverse of 6?

Answers

The Multiplicative Inverse of the number 6 is "1/6" .

The Inverse (Multiplicative) of the number is the number that when multiplied by the original number gives the product as 1 .

which means the product of the number and its multiplicative inverse is 1 .

the number is given to be 6 .

So , let the multiplicative inverse of 6 be = x .

So , According to Definition of Multiplicative Inverse ,

we can write : x * 6 = 1

dividing both side by "6" .

we get ;

x = 1/6 .

Therefore , the multiplicative inverse is 6 .

The given question is incomplete , the complete question is

What is the Multiplicative Inverse of 6 ?

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32^1/25 x 2^x = 8^1/4. work out the exact value of x.

Answers

Answer:

The exact value of x is 2.

Step-by-step explanation:

To find the exact value of x, we need to solve the given equation for x. The equation is:

32^1/25 x 2^x = 8^1/4

To solve this equation, we need to rewrite it in a form that allows us to isolate the variable x. We can start by using the properties of exponents to simplify the left-hand side of the equation. We can use the property that says that raising a number to a fractional power is the same as taking the square root of that number, raised to the power of the denominator of the fraction. So, we can write:

(32^1/25)^2 = (32^1/25)^25/25 = 32^1/25

This simplification allows us to rewrite the left-hand side of the equation as follows:

32^1/25 * 2^x = (32^1/25)^2 * 2^x

Next, we can use the property of exponents that says that the product of two numbers raised to the same power is equal to the product of the numbers, raised to that power. So, we can rewrite the left-hand side of the equation as follows:

(32 * 2)^1/25 * 2^x = (32^1/25)^2 * 2^x

Then, we can use the property of exponents that says that raising a product to a power is the same as raising each factor to that power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 + x) = (32^1/25)^2 * 2^x

Finally, we can use the property of exponents that says that the exponent of a power is equal to the product of the exponents of the base and the power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 * 25 + 1 * x) = (32^1/25)^2 * 2^x

Since the right-hand side of the equation is already in a form that allows us to isolate the variable x, we can now use the property of exponents that says that raising a number to a power and then taking the square root of that number is the same as

find the zeros
p(x)=5x3 −5x 2 −10x
and then place them on a graph

Answers

The polynomial function p(x) = 5x³ - 5x² - 10x have zeros of 0, -1 and 2

Zeros of a Polynomial

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial.

The polynomial function given is

p(x) = 5x³ - 5x² - 10x

The zeros of the function are 0, 2, -1

To test the zeros if they are the roots of the polynomial

p(0) = 5(0)³ - 5(0)² - 10(0)

p(0) = 0

p(2) = 5(2)³ - 5(2)² - 10(2)

p(2) = 0

p(-1) = 5(-1)³ - 5(-1)² - 10(-1)

p(-1) = 0

The zeros are 0, -1, and 2 to the polynomial

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What are the steps of copying?

Answers

The steps of copying involve selecting the text you want to copy, copying the text using the option from the right click menu or alternatively using the keyboard shortcut ctrl + c.

What is a clipboard?

The clipboard is a section of memory that the computer temporarily saves data when you copy or cut it from its original location. When you paste something, the previously copied or cut data is retrieved from the clipboard and added to the new location.

What is the difference between copying and cutting the text?

Text that is copied remains in its original location; a copy of the original text is created and kept in the clipboard. When you cut text, the original text is removed from its original location and put in the clipboard. When you copy or trim text, the original text is kept, but the original location is lost. In all cases, the copied or chopped text can be put into another location.

These steps can be used to copy text or other objects in a computer program:

By highlighting it with your pointer, you may choose the text or object that you wish to copy.

Use the keyboard shortcut "Ctrl+C" or the context menu when you right-click the highlighted text or object to choose "Copy" from the context menu.

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How do you find the equation of a line with one point and slope of a fraction?

Answers

With the slope and one point of the line, Using the formula of equation of line with slope and a point, The answer is [tex](y-y_1)= m (x-x_1)[/tex] .

What do you mean by equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

What do you mean by slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

points= ([tex]x_1 , y_ 1[/tex])

slope = m

Required equation,

[tex](y-y_1)= m (x-x_1)[/tex]

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What is the relationship between the area of the base of a prism its height and its volume?

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

What is area?

The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane. The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

V=b*h

b=base area of prism

h=height of prism

The volume of a prism is calculated as V=Bh, where B is the base area and h is the height.

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What is the use of median?

Answers

Median is the only average to be used while dealing with qualitative data which cannot be measured quantitatively but still can be arranged in ascending or descending order of magnitude,

e.g., to find the average intelligence among a group of people.

It is to be used for determining the typical value in problems concerning wages, distribution of wealth, etc.

It helps us to identify if the distribution is symmetric or not.

The mean and median of a symmetric distribution are close together.

If the distribution is exactly symmetric, the mean and median are exactly the same.

In a skewed distribution, the mean is farther out in the long tail than the median.

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A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.

Part A

In which direction is the puck moving at t = 3 s ? Give your answer as an angle from the x-axis.

Express your answer using two significant figures.

Answers

On a frictionless horizontal table, the rocket-powered hockey puck moves at an angle of 61.9° above the horizontal in 3 seconds.

what are significant figures ?

The significance of non-zero digits is constant. Between any two significant digits, there can be no zeros. Only the final or trailing zeros in the decimal section are important. Between any two non-zero digits, all zeros are important. Seven significant digits are seen in, for instance, 108.0097. There is never any significance for any zeros that are both to the right and left of the decimal point and a digit that is not zero.

given

Then, using the formula that relates the tangent of angle, vertical component of velocity, and horizontal component of velocity to find the direction in which the puck is moving.

Displacement is the smallest distance between the two points.

The vector representation of velocity is,

s = 1/2at2

= 1 .80 m

The puck moves at an angle 61.9° above the horizontal.

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(17, 17) (0, 13) (19, –11) (14, –17) Is this relation a function?

Answers

The relation is not a function because the element 17 is paired with two elements in the range (17 and 0). Therefore, the relation is not a function.

What is relation and function ?A relation is a set of ordered pairs that represents a relationship between two sets of objects. For example, the relation {(1, 2), (3, 4), (5, 6)} represents a relationship between the sets {1, 3, 5} and {2, 4, 6}.A function is a special type of relation in which each element in the domain is paired with exactly one element in the range. A relation is a function if each element in the domain is paired with exactly one element in the range. In this case, the relation is not a function because the element 17 is paired with two elements in the range (17 and 0). Therefore, the relation is not a function.

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2. The price of licorice is proportional to its length. It costs
$0.50 to buy 5 in. How much licorice can you get for $1.80?

Answers

The required length of licorice for $1.80 is given as 18 in.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
The price of licorice is proportional to its length. It costs $0.50 to buy 5 in; it is uncertain how much licorice you can get for $1.80.
Let the price be y and the length be x,
according to the quesiton,
y = kx,
put y = 0.50 and x = 5
0.50 = 5k
k = 0.1


Now

y = 0.1 x
for
y = 1.8
1.8 = 0.1x
x = 18

Thus, the length of licorice necessary for $1.80 is specified as 18 in.

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Which has a quotient of 1.66? Use number sense to find the answer. Select all that apply. A. 4.15÷2.5 B. 0.415÷0.25 C. 41.5÷0.25 D. 4.15÷0.25 E. 0 . 415 ÷ 2 . 5

help plssssssssssss

Answers

The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25

How to find which has a quotient?

Long division or repeated subtraction can be used to accomplish this.Finding the quotient of two integers, fractions, or algebraic words is achievable.

Quotient * Dividend  =  Divisor

A. 4.15 ÷ 2.5

Quotient = 1.66

Divisor = Quotient * 2.5

= 1.66 * 2.5

= 4.15

So, Option A is a correct answer.

B. 0.415÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415

So, Option B is a correct answer.

C. 41.5÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415 ≠ 41.5

So, Option C is not a correct answer.

D. 4.15÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415 ≠  4.15

So, Option D is not a correct answer.

E. 0.415 ÷ 2

Divisor = Quotient * 0.25

= 1.66 * 2

= 3.32 ≠  0.415

So, Option E is not a correct answer.

Hence, The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25

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In the first week of​ July, a record 1020 people went to the local swimming pool. In the second​ week, 100 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 198 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

The percent decrease in the number of people who went to the pool over these four weeks is 15%.

What is the percent decrease in the number of people who went to the pool over these four weeks?

The number of people in each week will be recorded below:

First week = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 145 = 1065

Fourth week = 1065 - 198 = 867

The percent decrease in the number of people who went to the pool over these four weeks will be:

= (1020 - 867) / 1020 × 100

= 153 / 1020 × 100

= 15%

The percentage decrease is 15%.

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Is the answer to this question A or B? I’m conflicted.
Would appreciate the reply!!

Answers

Answer: B

I have to add extra words to answer you but it’s B :))

What is the slope of y =- 4 5x 3?

Answers

The slope of the given line y = -(4/5)x + 3 is -(4/5).

What is the slope of the line?

The slope of a line is defined as the gradient of the line.

The slope of a line is a measure of its steepness. It is defined as the change in y (the "rise") divided by the change in x (the "run") between two points on the line.

The equation is given in the question as:

y = - (4/5)x + 3

To find the slope of a line given by the equation y = mx + b, where m is the slope and b is the y-intercept, we can just take the coefficient of x, which is m.

As per the question, the coefficient of x is -(4/5), so the slope of the line is -(4/5).

Therefore, the slope of the given line is -(4/5).

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Geometry book page 599 ​

Answers

Answer:

Can you make another post showing us a picture of the Geometry book page 599? I may be able to help :-)

HELP!!

An unsharpened pencil is in the shape of a
hexagonal prism with base area of 54 mm²
and length of 20 cm. Find the volume in
cubic millimeters. (1 cm = 10 mm)

Answers

10800 mm³ is the volume of the unsharpened pencil.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that the unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm².

The length of hexagonal prism is  20 cm.

Let us convert cm to mm

1 cm = 10 mm

20 cm =200 mm.

Volume of hexagonal prism V=Ah.

A is the base area and h is the height.

V=54×200

=10800 mm³.

Hence,  volume of an unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm² and length of 20 cm is 10800 mm³.

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Two balls are to be pulled from a vase that contains 7 red balls, 9 green balls, and 2 black balls. After the first ball is drawn, it is
not replaced. What is the probability that two red balls are chosen from the vase?

Answers

The probability that two red balls are chosen from the vase would be = 1/9

What is probability?

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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it took oliva 2 hour to drive 240 miles. at this rate how long does it take to drive 80 miles

Answers

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

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Darren is purchasing a car that costs $12,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 3 years, how much is his monthly payment?. issuing 1,000 shares of 5%, $100 par value, cumulative preferred stock for $110 in cash per share affects the accounting equation by_____ (select all that apply.)increasing total liabilitiesincreasing Additional Paid-in Capitalincreasing Assetsincreasing Retained Earningsdecreasing total stockholders' equityincreasing total stockholders' equity Please show work thank youRational functions Solve the system of linear equations by substitution.x=17-4yy=x-2 How do you find the factor of a root? What is the standard deviation of the data given below 10 28 13 18 29 30 22 23 25 and 32? What is the x and y intercept of y=3x-15 and is (2,-9) a solution A variety of factors influence enzyme activity. Substances that bind to the enzyme and interfere with substrate binding or catalysis are inhibitors. Identify the type of inhibition associated with each of the following descriptions and examples by sorting each item into the appropriate bin. Irreversible inhibition Competitive inhibition Noncompetitive inhibition Note: If you answer this question incorrectly, a single red X will appear indicating that one or more of the phrases are sorted incorrectly binding by the inhibitor malonate, which resembles the A on binds to succinate, binds to the decreases V max acetylcholinesterase or to the succinate dehydrogenase acetylcholinesterase-substrate active site complex DIPF permanently modifies the inhibitor may permanently binding by the inhibitor ydroxyl group of a modify an enzyme does not affect Vima Ser residue at the active site How do you draw a SSS triangle? Please help its due in a hour! What is the main idea of the poem night? why does the speaker in a valediction: forbidding mourning believe the love between him and his wife is unable to be understood by others? comparison between dostoevskys demons and osamu dazai's no longer human dorothy, age 73, is single. she has one granddaughter who is 16 years old. dorothy wants to help fund the granddaughter's college education. if dorothy decides to open a section 529 plan for her granddaughter, what is the maximum amount dorothy can contribute to the plan in 2022 without making a taxable gift, assuming she has made no prior gifts to the granddaughter? Multi-sided markets describe a variety of services that serve two or more segments with very different needs and problems, which bear no relationship to each other.a. Trueb. False ________________ revenue arises when a business receives cash in one period, but does not provide all of the related goods or services until a later period In which passage does Swift restate his argument for eating impoverished babies? The HIPAA Privacy Rule applies to which of the following?All of the above Is the equation 3x 11x 10 0 a quadratic equation? Dr. Oken is testing you again. He wants to see if you know how the neutrons increase in quantity in relation to how the protons increase in quantity. Choose the best explanation to give him. a The quantity of neutrons is proportional to the megatron. For everyone megatron there is a neutron trying to bring it up from the bottom of the Pacific Ocean b The neutrons increase almost as quickly as the protons increase in number though there are often less neutrons than protons in the nucleusc The neutrons increase in number faster than the protons increase d The number of neutrons increases at the same exact rate as the protons increase in number. You add one proton and you get one neutron. This is true for the entire periodic table.