Jada paints a circular table that has a diameter of 37 inches. What is the area of the table? (Do not round the answer.)

Answer:

It’s D

Step-by-step explanation:

Answer:

A.) The coefficient of determination is 0.994,which means that the function is a very good fit of the data set.

Step-by-step explanation:

I got it right on odyssey .

How to solve your problem

Topics: Algebra, Polynomial

7

3

+

2

=

−

1

\frac{7x}{3}+2=-1

37x​+2=−1

Solve

1

Find common denominator

7

3

+

2

=

−

1

\frac{7x}{3}+2=-1

37x​+2=−1

7

3

+

3

⋅

2

3

=

−

1

\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1

37x​+33⋅2​=−1

2

Combine fractions with common denominator

7

3

+

3

⋅

2

3

=

−

1

\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1

37x​+33⋅2​=−1

7

+

3

⋅

2

3

=

−

1

\frac{7x+3 \cdot 2}{3}=-1

37x+3⋅2​=−1

3

Multiply the numbers

7

+

3

⋅

2

3

=

−

1

\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1

37x+3⋅2​=−1

7

+

6

3

=

−

1

\frac{7x+{\color{#c92786}{6}}}{3}=-1

37x+6​=−1

4

Multiply all terms by the same value to eliminate fraction denominators

7

+

6

3

=

−

1

\frac{7x+6}{3}=-1

37x+6​=−1

3

(

7

+

6

3

)

=

3

(

−

1

)

3(\frac{7x+6}{3})=3\left(-1\right)

3(37x+6​)=3(−1)

5

Cancel multiplied terms that are in the denominator

3

(

7

+

6

3

)

=

3

(

−

1

)

3(\frac{7x+6}{3})=3\left(-1\right)

3(37x+6​)=3(−1)

7

+

6

=

3

(

−

1

)

7x+6=3\left(-1\right)

7x+6=3(−1)

6

Multiply the numbers

7

+

6

=

3

(

−

1

)

7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)

7x+6=3(−1)

7

+

6

=

−

3

7x+6={\color{#c92786}{-3}}

7x+6=−3

7

Subtract  

6

6

6

from both sides of the equation

7

+

6

=

−

3

7x+6=-3

7x+6=−3

7

+

6

−

6

=

−

3

−

6

7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}

7x+6−6=−3−6

8

Simplify

Subtract the numbers

7

=

−

9

7x=-9

7x=−9

9

Divide both sides of the equation by the same term

7

=

−

9

7x=-9

7x=−9

7

7

=

−

9

7

\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}

77x​=7−9​

10

Simplify

Cancel terms that are in both the numerator and denominator

=

−

9

7

x=\frac{-9}{7}

x=7−9​  

Solution

=

−

9

7

Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

The future value of an investment with monthly compounding, we can use the formula for compound interest:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)

Given:

Principal (P) = $900

Interest Rate (r) = 3.6% = 0.036 (expressed as a decimal)

Number of Compounding Periods per year (n) = 12 (monthly compounding)

Number of Years (t) = 10

Plugging in the values into the formula, we have:

Future Value = $900 * (1 + (0.036 / 12))^(12 * 10)

Future Value = $900 * (1 + 0.003)^120

Calculating this expression, we find:

Future Value ≈ $900 * 1.43239216924

Future Value ≈ $1,289.15

Therefore, after 10 years with monthly compounding at an interest rate of 3.6%, the $900 investment will grow to approximately $1,289.15.

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Answer:

a rule to know: a median divides the side into equal parts.

we know:

PR = -2a + 34

SR = 2a + 26

- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.

so,

2SR = PR (now simply pluggin the expressions we have)

2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)

4a + 52 = -2a + 34

6a + 52 = 34

6a = -18

a = -3

- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.

Answer:

the board is 2.4 ft

Step-by-step explanation:

because 24/10 is 2.4

Answer: C= 40.25 - 0.05x

Step-by-step explanation:

C is the credit left

We know that the original is 40.25, so we put it as the beginning number.

Each minute costs $0.05x

where x is each minute

, so the equation is C= 40.25 - 0.05x

Triangle: original side is 5 units long, copy side is 1 unit long

Scale = copy side/ original side = 1/5

Scale = 1/5

Second image:

Side of A is 6 units long

Side of B is 18 units long

Scale = B side / A side = 18/6 = 3

Scale = 3

Answer:

sequence of numbers such that the difference between the consecutive terms is constant.

the constant is 2 (Ex. 18-2=16-2=14....) and your answer is

yes

Answer:

see the answer in the picture

Step-by-step explanation:

I don't know which equation you want. but I put both the standard and general form. but the equation should be the stander form. the radius is 13 in this case

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

given the equation of the circle is

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

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complete question:

Determine the center and radius of the following circle equation

x^2 + y^2 + 10x + 14y + 73 = 0

Answer: Banquet Brothers has better deal.

Step-by-step explanation:

Given: Banquet Brothers sell a tray with 48 servings of pasta for $60.

Cost per serving = \(\$\dfrac{60}{48}=\$\dfrac{5}{4}=\$\ 1.25\)

Cookin' Catering sells a tray with 30 servings of pasta for $72.

Cost per serving = \(\$\dfrac{72}{30}=\$\ 2.4\)

Since, Cost per serving in Banquet Brothers < Cost per serving in Cookin' Catering

So, Banquet Brothers has better deal.

Answer:

c

Step-by-step explanation:

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, then

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

Answer:

True

Step-by-step explanation:

Answer:

To find out the number coming from each school, you need to use the proportion of the school's population out of the population of all three.

Total population = 618 + 378 + 204

= 1,200 students

North Middle school:

= 618/1,200 * 20

= 10 students

Central Middle School:

= 378 / 1,200 * 20

= 6 students

South Middle School:

= 204/1,200 * 20

= 4 students

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

Yes.

Step-by-step explanation:

Replace x with 2 and y with 1 and see if the equation is true

x - 4y = -2

2 - 4(1) = -2

2 - 4 = -2

-2 = -2

The statement is true so the point is on the line.

Given:

We have the graph below:

for the cannon ball one

I can use the equation of motion to determine the time taken by the cannonball to hit the ground:

h(t) = -0.5gt^2 + V₀t + h₀

where:

- g is the acceleration due to gravity, -9.8 m/s^2

- V₀ is the initial velocity, 75 m/s

- h₀ is the initial height, 50 m

I'll set h(t) to 0, since the ball will hit the ground when its height is 0, and solve for t:

0 = -0.5(-9.8)t^2 + 75t + 50

0 = 4.9t^2 + 75t + 50

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

where a = 4.9, b = 75, and c = 50.

t = (-75 ± √(75^2 - 4(4.9)(50))) / 2(4.9)

t = (-75 ± √(5625 - 980)) / 9.8

t = (-75 ± √4645) / 9.8

t ≈ 7.55 seconds (rounding to 2 decimal places)

Therefore, the cannonball will hit the ground after approximately 7.55 seconds.

for the second one

since I don't have any specific values for g, v₀, or h, I can still write the general form of the projectile motion equation:

h(t) = -0.5gt^2 + v₀t + h₀

where g is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height.

I can then plug in these variable values into Desmos to plot the trajectory of the projectile.

the standard deviation is not less than 13 hours based on the given sample data.

To calculate the standard deviation of the sample mean, we can use the formula:

Standard deviation of the sample mean = Standard deviation of the population / √(sample size)

Given that the population standard deviation is 180 and the sample size is 345, we can plug in these values:

Standard deviation of the sample mean = 180 / √345 ≈ 9.693

The standard deviation of the sample mean represents the average variability or spread of sample means that could be obtained from repeated sampling. In this case, it indicates how much the sample means would typically vary from the true population mean. A smaller standard deviation of the sample mean suggests that the sample means are closer to the population mean, leading to greater precision and accuracy in estimating the population mean.

Regarding the assumptions for the confidence interval at 95%, they typically include:

1. Random Sample: The sample should be selected randomly from the population to ensure its representativeness.

2. Independence: The observations within the sample should be independent of each other. Each data point should not be influenced by others.

3. Normality or Large Sample Size: The population distribution should be approximately normal, or the sample size should be large enough to satisfy the Central Limit Theorem. The CLT states that for a large sample size, the distribution of the sample mean becomes approximately normal, regardless of the population distribution.

4. Unbiasedness: The sample should be unbiased and free from selection or measurement bias.

As for testing the claim that the standard deviation is at least 13 hours, we can use a one-sample t-test with the null and alternative hypotheses:

Null hypothesis (H0): The standard deviation is less than 13 hours.

Alternative hypothesis (Ha): The standard deviation is at least 13 hours.

Using the sample data, we can calculate the test statistic:

t = (sample standard deviation - claimed standard deviation) / (standard deviation of the sample mean / √sample size)

t = (10.4 - 13) / (10.4 / √32) ≈ -2.035

Next, we determine the critical value at a significance level (α) of 0.05 for a one-tailed test with degrees of freedom (df) = sample size - 1 = 32 - 1 = 31. Checking a t-distribution table or using a statistical calculator, we find the critical value to be approximately -1.697.

Since the calculated t-value (-2.035) is less than the critical value (-1.697), we have evidence to reject the null hypothesis. Therefore, we can conclude that the standard deviation is not less than 13 hours based on the given sample data.

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Answer:

B) 14/15

this is the best answer

Answer:

Step-by-step explanation:

Width of the room in the drawing = x

1 : 3 :: x : 18

Product of means = Product of extremes

         3 * x =  18 *1

             x = 18 ÷ 3

            x = 6

Width of the room in the drawing = 6 inches

Deck of Cards: 52 total, 4 suits of 13 each. Clubs and Spades are black, Hearts and Diamonds are red. Jack (J), Queen (Q), and King (K) are face cards.

Clubs: 2 3 4 5 6 7 8 9 10 J Q K A

Spades: 2 3 4 5 6 7 8 9 10 J Q K A

Hearts: 2 3 4 5 6 7 8 9 10 J Q K A

Diamond: 2 3 4 5 6 7 8 9 10 J Q K A

Here, we use the probability formula to calculate the answer.

Possible outcome = 52

We are to find the probability that it is a two or a club.

From 52 deck of cards, we have 4 twos and 13 clubs

Therefore,

The probability that it is a two or a club

Final answer = 0.3077 to 4 decimal places

The difference between outputs are

The differences between outputs are the same, hence this relation is linear

The values are decreasing from 2 to -13.

Hence the given relationship is decreasing and linear.

Option C is correct.

B (second image)

jjjjjjjjjjjjcharacterrequirementjjjjjjjj

Answer:

B. 336 hour's

Step-by-step explanation:

sana nakatulong :-)

Answer:

168hours

Step-by-step explanation:

2weeks=6+8=14

1 week=7

24×7=168

Answer:

5/7

Step-by-step explanation: