The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.

Answer:

x = 5/3 , y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]

[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{4-\left(-1\right)}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{5}{3}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{5}{3},\:y=-1[/tex]

3(5/3) + -1

5-1 = 4

True

6(5/3) + 4(-1)

10 -4 = 6

True

~lenvy~

Answer:

Its 320 i think its so many numbers my eyes cant keep up

Step-by-step explanation:

just add em all up

Answer: A

Step-by-step explanation:

You can multiply the coordinates by 4, giving (0,0)

Answer:

choice A is correct

Step-by-step explanation:

the value of x should be 75

The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

The equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]

The equation is:

x² + (y - 6)² = 74.1²

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2% decrease= 0.98

3% decrease = 0.97

Answer:

150

Step-by-step explanation:

since a circle is 360 degrees, add up all of the other degrees and then subtract from 360

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

Step-by-step explanation:

The picture does not show the example which will help in determining whether it is simple or compound interest calculation.

Based on what is shown, the answer is:

the numerator is: {(n + 11) + (n + 10) + (n + 9 ) + (n + 8) = 4n + 38;

and the denominator is: {(n) + (n + 1) + ... + (n + 11) = 12n + 66.

Therefore, the fraction is numerator/denominator:

= (4n + 38) / (12n + 66)

In this case n=1, the fraction = 42/78 =  0.53846

= 53.85%

Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:

One meter stick - 0.2 kg

x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]

Applying cross multiplication:

[tex]0.2x = 7 \times 10^{22}[/tex]

[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]

[tex]x = 35 \times 10^{22}[/tex]

[tex]x = 3.5 \times 10^{23}[/tex]

It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

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Answer:

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.

Step-by-step explanation:

. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%

hope this will help

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

It is given that the standard normal curve shows the shaded area in the curve.

It is required to find the approximate area of the unshaded region under the standard normal curve.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

In the curve showing the shaded region area between:

[tex]\rm P(1 < Z < 2)[/tex]

First, we calculate the shaded region area:

From the data given the value of Ф(1) = 0.8413.

P(Z<1)  = 0.8413  and

P(Z<2) =  0.9772

The area of the shaded region:

= P(Z<2) - P(Z<1)

=  0.9772 - 0.8413

= 0.1359

The area of the unshaded region:

= 1 - The area of the shaded region  ( because the curve is symmetric)

= 1 - 0.1359

= 0.8641 ≈ 0.86

Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

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Given -

ie. d = 6yd

ps - use 3.14 for a

To find -

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd

The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?

Given :

Need to find :

Solution :

[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]

We know,

[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]

[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]

[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]

We know,

[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]

Where,

Substituting the values we get

[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]

[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]

[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]

[tex] \rule{92mm}{3pt}[/tex]

Answer:

$847.74

Explanation:

total cost:

Answer:

$847.74

Step-by-step explanation:

Given:

Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge

⇒ total = (108.25 x 7) + 89.99

            = 757.75 + 89.99

            = 847.74

Answer:

hello.

• Area: 387.11cm²

•A (side)= 15 cm.

hope this helps.

Answer:

what is the question?

Step-by-step explanation:

Answer:

325.76

Step-by-step explanation:

72+104+149.76

Answer:

D. 288π

Step-by-step explanation:

Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]

A = π [tex]\frac{4}{3} (6)^3[/tex]

A = π [tex]\frac{4}{3} (216)[/tex]

A = 288π

I hope this helps!

Answer:

A. 904.32 ft cubed

Step-by-step explanation:

Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.

In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Answer:

We know that the slope or rate of change of the function can be:

positive

negative

zero, or

undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

We know that the slope or rate of change of the function can be:

positive

negative

zero, or undefined

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

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is  y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

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Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

Answer:

351.86

Step-by-step explanation:

V = π r² h

V = (3.14) (4)² (7)

V = (3.14) (16) (7)

V = 351.86

The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.

If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.

Therefore, let's check for the equation with the same terms and constant with the equation :

x + y = -1

Hence, the most likely equation of line p is as follows:

2x + 2y = -2

divide both sides by 2

2x/ 2 + 2y / 2  = -2 / 2

x + y = - 1

The equation of the line will be 2x + 2y = -2

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]

[tex]\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]

Hence, x = -2 or x = 1

Answer:

Step-by-step explanation:

A = true

D = true

Answer:

a) 441 gallons

b) -243 fish

Step-by-step explanation:

For a), multiply the 7 gallons of water by the 63 minutes to get 441 total gallons of water added

For b), multiply the 27 fish by 9 days to find the total decrease in fish, which is -243 fish.

Hopefully this helps - let me know if you have any questions!

Answer:

$1331 compounded annually after three years

Step-by-step explanation:

Given the following question:

1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....

Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]

Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.

Hope this helps.

Answer:

A. $3960

B. r=40x^2+400x+3000

C. $200

Step-by-step explanation:

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC

Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22

So Total Revenue is: R= 180 x 22= 3960

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R= (100+2x)(30-2x) = -40x^2+400x+3000

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200