Find x

A. 2.6
B 3.1
C 2.9
D 4

Answer:

32:24, 16:12, 8:6 and 4:3

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

Answer:

B.

Step-by-step explanation:

The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.

Answer:

There you go cupcake!

Answer:

The Standard Deviation is a measure of how spread out numbers are. You might like to read this simpler page on Standard Deviation first. But here we explain the formulas. The symbol for Standard Deviation is σ (the Greek letter sigma)

Answer:

Shows the variation in data(average of all means of the data)

Step-by-step explanation:

Ok,so, if for example, data is grouped close together, then the standard deviation will be small, if the data is more spread out then the deviation will be larger.  How to tell?

Well, it all depends on the distance away from the mean. The center is usally where the mean is. How far from the mean is your data?

How to calculate?

-There are multiple equations you can use depending on your data.

If you are analyzing data which represents a larger set, use sample standard deviation, if you collect data from every member of the set, then use population standard deviation.

First, calculate the mean(average) of each set of data.

Then subtract the deviance(subtract mean from each number -/+)

Square each deviation

add up all squared deviations

Divide the number by one less than the number of items in the data. (If it was 5 it would be 4.)

Then calculate the square root of the resting value.

Answer:

140 teenagers attended the game.

Step-by-step explanation:

Answer: 140 teenagers

Step-by-step explanation:

20% teenagers in 700 people

= 20/100 * 700

= 0.2 * 700

= 140

Therefore, 140 teenagers attended the game

Answer:

As We know that Angle (∅) b/w the point on ground and top of the tower is 18⁰. → x = 30 feet (approx.) Hence, The Height of the tower will be 30 Feet approximately.

Step-by-step explanation:

here is the answer to your question

Answer: its -3

Step-by-step explanation:

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

(-4)(3) = -12

(-4+3) = -1

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(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

From the question, we have the following parameters that can be used in our computation:

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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Answer:  89 yards

Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.

Answer:

75

Step-by-step explanation:

math

Answer:

30 and 60 degrees

Step-by-step explanation:

30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.

Complementary angles are angles that add up to 90 degrees.

Angle one = x

Angle two = 2x

2x + x = 90 degrees

Combine like terms.

3x = 90 degrees.

Divide both sides by 3

x = 30

Angle one = x = 30 degrees

Angle two = 2x = 2(30) = 60 degrees.

Answer: The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Step-by-step explanation:

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

32.

Step-by-step explanation:

The first 32 have buttons but NO zips.

Then 35 have NEITHER buttons OR zips.

Then 32 have ZIPs, but no buttons.

The question only asks for zips. The other bag is unaccounted for.

Answer: 76

Step-by-step explanation:

The answer is 76 D=(38)(2). This equals 76

Answer:

p = 7

Step-by-step explanation:

trust me

Answer:

p = 7

Step-by-step explanation:

Given value of q = 4 so,

5p - 11 = 6 × 4

=> 5p = 24 + 11

=> 5p = 35

\( = > p = \frac{35}{5} \)

=> p = 7(Ans)

Answer:

(4) 138

Step-by-step explanation:

23 x 600 /100  = 138

Answer:

4

Step-by-step explanation:

Answer:

Your answer is 10 cause 100 divided by 10 is 10

Step-by-step explanation:

Answer:

35x⁸⁰

Step-by-step explanation:

that's the answer

Answer:(

fx).(gx)=D. -40x^3+25x^2+45

Step-by-step explanation:

The standard absolute value graph has been shifted 7 units to the right and 3 units down to get this graph.  

That means we have answer B: f(x) = | x - 7 | - 3

Remember that the left-right shifts are opposite from what they would appear to be in the equation.

  | x - 7 | shifts it right 7 units.

  | x + 7 | shifts it left 7 units.

Answer:

true

Step-by-step explanation:

got it right in my lesson

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

7 wedges

Step-by-step explanation:

=60% of 126g

=60 ÷ 100 × 126g

=75.6g

=75.6 g ÷ 10g

=7.56 = 7 wedges