What are the x-intercepts of the graph of the quadratic functionf(x)=x2-x-6?A) (3,0) and (2,0)B) (-3,0) and (-2,0)C) (3,0) and (-2,0)D) (-3,0) and (2,0)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. {(9, 18),(9, 19),(10, 18)}

D.  {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B(complement) ∩C =  {(9, 19)}

Step-by-step explanation:

The Sample Space would contain each element of the box A associated with each element of the box B.

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  Let the Outcomes in the event B, the event that the second resistor has a resistance less than 19 be denoted by J then

J=  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. Let the outcomes in the event C, the event that the sum of the resistances is equal to 28 be denoted by L then

L =  {(9, 18),(9, 19),(10, 18)}

D. The  outcomes in B∪C contains all the elements of B and C

B∪C=J∪L= {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B complement contains those elements of the Sample Space which are not the elements of Set B.

B complement= S-B=  {(9, 19),(9, 20),(9, 21),(10, 19),(10, 20),(10, 21),(11, 19),(11, 20),(11, 21),(12, 19),(12, 20),(12, 21)}

B(complement) ∩C contains those elements of B and C which are common to both B complement and C.

B(complement) ∩C =  {(9, 19)}

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

the answer is 16 . the explanation is that because if you have. 200 cm y axis it overcomes the x of other 80

Answer:

12

Step-by-step explanation:

(I think you should try it for yourself!)

If the length of the triangle is 24, and there is a bisector, that means the length is going to be divided among 2 equally.

Therefore we just need to divide 24 by 2

24 / 2 = 12

Step-by-step explanation:

multiply -4x the power of 5 by the numbers in the bracket then you will get the answer

9514 1404 393

Answer:

  is linear; f(-4) = 4

Step-by-step explanation:

The coefficient of x in the function shown here is -1/4, and x is to the first power. It is a linear function.

  f(-4) = 3 -(1/4)(-4) = 3 +1

  f(-4) = 4

Answer:

Answer from least to greatest is: -6, -1, 5

I know this I learned it in class today lol

Answer:

450 x 1.08 ^ X = N

Step-by-step explanation:

Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:

450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle

450 x 1.08 ^ X = N

Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:

450 x 1.08 ^ 5 = N

450 x 1.4693 = N

661.20 = N

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Step-by-step explanation:

We observe the line graph.

For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.

Also, the y-intercept when x = 0 is 2.

Slope-intercept form: y = mx + c

Hence we have y = 2x + 2. (C)

Answer:

B I think

Step-by-step explanation:

It’s either that or c

Answer:

a) Strong and Positive

b) 0.9995

Explanation:

Here, we want to get the correlation type between the width and length

As we can see, as the width is increasing, the length is also increasing

What this mean is that we have a positive correlation

Now, we need to know if the correlation is strong or weak

Looking at the data values, we can see that while width is increasing by about 0.5 , length is increasing by about 0.7. These are very similar values

What this mean is that the correlation is also strong

Thus, we have it that the correlation is strong and positive

We can obtain the correlation coefficient value from the r-squared value

We can get this by plotting the points and fixing a line through as shown below:

From what we have on the plot:

the correlation coefficient is 0.9995

Answer:

8 1/6 / 1 7/8 = 196/45 = 4 16/45 ≅ 4.3555556

Step-by-step explanation:

Conversion a mixed number 8 1/6

to a improper fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6= 48 + 1/6 = 49/6

To find new numerator:

a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8

to a improper fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8= 15/8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8

b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8.

One and seven eighths is fifteen eighths

Divide: 49/6 : 15/8 = 49/6 · 8/15 = 49 · 8/6 · 15 = 392/90 = 2 · 196 /2 · 45 = 196/45

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/

8 is 8/15

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 2 gives 196/45

.

In words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

What is a sample size?

Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.

To answer this question, we need to use the formula for the sample size of a proportion:

\(n = \frac{Z^2 * p * (1 - p))}{e^2}\)

Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).

Plugging these values into the formula, we get:

\(n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44\)

If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:

\(n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22\)

Hence,

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

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Answer:

2/3

this question doesn't make sense

Answer:

Step-by-step explanation:

yes

Answer:

-2

Step-by-step explanation:

2x+5-7x=15

Combine like terms

-5x+5=15

Subtract 5 from both sides

-5x=10

Divide -5 from both sides

x=-2

Answer:

2x+5-7x=15

-5x+5=15

5-15 =5x

-10 =5x

10/5=x

x= -2

the answer is g(x)= (x+6).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

from the given , we get,

f(x)=x^4

and, f(g(x))= (x+6)^4

hence, the answer is g(x)= (x+6).

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Answer:

Yes.

Step-by-step explanation:

If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)

Answer: 45 minutes

Step-by-step explanation: If it takes John a half hour and Kevin 45 minutes it still only takes 45 minutes because they started at the same time but Kevin adds 15 minutes to Johns half hour.

Answer:

15 minutes

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

We are given that

f(2)=13

\(f'(x)\geq 2\)

\(2\leq x\leq 7\)

We have to find the possible small value of f(7).

We know that

\(f'(x)=\frac{f(b)-f(a)}{b-a}\)

Using the formula

\(f'(x)=\frac{f(7)-f(2)}{7-2}\)

\(f'(x)=\frac{f(7)-13}{5}\)

We have

\(f'(x)\geq 2\)

\(\frac{f(7)-13}{5}\geq 2\)

\(f(7)-13\geq 2\times 5\)

\(f(7)-13\geq 10\)

\(f(7)\geq 10+13\)

\(f(7)\geq 23\)

The small value of f(7) can be 23.

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Step-by-step explanation:

1) plot a point at (0,-5)

2) count 3 units up and 5 units to the right, plot the new point

3) connect the points with a straight line

Answer:

Cash it at the issuing bank (this is the bank name that is pre-printed on the check)

Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)

Cash the check at a check-cashing store.

Deposit at an ATM onto a pre-paid card account or checkless debit card account.

Step-by-step explanation:

Answer:

Amscot?

Step-by-step explanation: