Which of the following shows the correct steps to find the value of
1
? (1 point)
83
O
83 = (43)3 = (4)
= 4
()() -
088=(23) =(2,394 = 2
O &$=(20) = (2+3)=
2+
= 16
О
164 = (82)4 = (8)
= 8

We can use the following formula to solve the exercise.

Then, we have:

We replace the know values in the formula.

The car travels 266 miles in 4 hours and 45minutes.

Answer:

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.

I hope it helps.

Option b accurately interprets the slope coefficient in the context of the regression equation provided. b. As x increases by 1 unit, y is predicted to decrease by 17 units.

In the given sample regression equation, the slope coefficient (-17) represents the rate of change in the predicted value of y (y-hat) for each one-unit increase in x. Since the coefficient is negative, it indicates a negative relationship between x and y.

Specifically, for every one-unit increase in x, the predicted value of y is expected to decrease by 17 units. Therefore, option b accurately interprets the slope coefficient in the context of the regression equation provided.

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The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

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Check the picture below.

so the base of the pyramid is a triangle whose base is 12 and altitude is "x", and the pyramid has a height/altitude of 15, so

\(\textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(12)(x)\\[1em] h=15\\ V=240 \end{cases}\implies 240=\cfrac{1}{3}\left[\cfrac{1}{2}(12)(x) \right](15) \\\\\\ 240=30x\implies \cfrac{240}{30}=x\implies 8=x\)

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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Abby and her friends just dined at a restaurant and left a 20% tip, amounting to $25.35. We are to find the bill before tip in dollars. Rounding off the given tip to two decimal places, we have $25.35 ≈ $25.34.

We can now proceed with solving the problem using the formula that relates the bill before tip and the tip. The formula states that the bill before tip is equal to the sum of the tip and the bill after tip.Let x be the bill before tip in dollars.

Then, we can write the formula for the total bill as:x + 0.20x = x + 25.34. Simplifying the above equation, we have:0.20x = 25.34x = 25.34/0.20x = 126.7.

Rounding off to two decimal places, the bill before tip is approximately $126.70. In summary, if Abby and her friends left a 20% tip amounting to $25.35, then the bill before tip was approximately $126.70.

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Answer:

6.15

Step-by-step explanation:

6+0.20-0.12+0.07= 6.15

Answer:

\( 2\sqrt{2} \)

Step-by-step explanation:

\( g(x) = \sqrt{x - 4} \)

\( h(x) = 2x - 8 \)

\( h(10) = 2(10) - 8 = 12 \)

\( g(h(10)) = g(12) = \sqrt{12 - 4} \)

\( g(h(10)) = \sqrt{8} = 2\sqrt{2} \)

Answer: \( 2\sqrt{2} \)

Answer:

2 square root 2

Step-by-step explanation:

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

Answer:

x=-4

Step-by-step explanation:

To find the doubling time for an exponentially growing population, we can use the formula:

Doubling time = (ln(2)) / k

where k is the growth rate constant.

a) To find the doubling time for this population of fruit flies, we need to determine the growth rate constant (k). We can use the given information to set up an equation:

425 = 350 * e^(k * 34)

Divide both sides of the equation by 350:

e^(k * 34) = 425 / 350

Now, take the natural logarithm (ln) of both sides to isolate the exponent:

k * 34 = ln(425 / 350)

Divide both sides of the equation by 34:

k = ln(425 / 350) / 34

Using a calculator, we find:

k ≈ 0.0429

Now we can calculate the doubling time using the formula:

Doubling time = (ln(2)) / k

Doubling time = ln(2) / 0.0429

Using a calculator, we find:

Doubling time ≈ 16.14 hours

Therefore, the doubling time for this population of fruit flies is approximately 16.14 hours.

b) To find the time it takes for the population size to reach 530, we can use the formula for exponential growth:

530 = 350 * e^(0.0429 * t)

Divide both sides of the equation by 350:

e^(0.0429 * t) = 530 / 350

Take the natural logarithm (ln) of both sides to isolate the exponent:

0.0429 * t = ln(530 / 350)

Divide both sides of the equation by 0.0429:

t = ln(530 / 350) / 0.0429

Using a calculator, we find:

t ≈ 25.57 hours

Therefore, it will take approximately 25.57 hours for the population size to reach 530. Rounded to the nearest tenth of an hour, the answer is 25.6 hours.

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Answer:

it would be 2/20

Step-by-step explanation:

add all of the menus that she received together for the denominator and put the number of Chinese menus she received for the numerator

The integral Ex2 + y2 dV, where E is the area within the cylinder x2 + y2 = 25 and between the planes z = 1 and z = 4, may be evaluated using cylindrical coordinates. The integral may be assessed as 5(2)(3) = 30 by rewriting it as 0 5 0 2 1 4 E d d dz.

Cylindrical coordinates can be used to evaluate integrals such as the one given. In cylindrical coordinates. The integral can then be written as ∫∫∫ E√x^2 + y^2 dV, where E is the region inside the cylinder \(x^2 + y^2 = 25\) and between the planes z = 1 and z = 4.Using the properties of cylindrical coordinates, the integral can be rewritten as ∫ 0 5 ∫ 0 2π ∫ 1 4 Eρ dρ dθ dz. This can be evaluated using the triple integral ∫ 0 5 ∫ 0 2π ∫ 1 4 ρ dρ dθ dz. The integral can then be evaluated as follows:

= 5(2π)(3)

= 30π

Therefore, the integral ∫∫∫ E√\(x^2 + y^2\) dV can be evaluated as 30π.

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Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

subtract x from both sides

you get 3x-6=3

add 6 to 3

3x=9

x=3

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

multiply both sides of the equation by the denominator(12)

thus giving:

14+10x=-3(12)

14+10x=-36

take 14 to the other side;

10x=-36-14

10x=-50

divide both side by 10

x=-5

Answer:

Step-by-step explanation:

y = 2.5  sin \(\frac{2}{3}\) x  

a = 2.5

b = \(\frac{2}{3}\)

x = 15/23

x= 0.6°

..............

..........

Answer:

x = -1

Step-by-step explanation:

Answer:

\(\boxed {x = -1}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(3x - \frac{8}{2} = x - 6\)

-Divide \(8\) by \(4\):

\(3x - \frac{8}{2} = x - 6\)

\(3x - 4 = x - 6\)

-Take \(x\) and subtract it from \(3x\):

\(3x - 4 - x = x - x - 6\)

\(2x - 4 = -6\)

-Add \(4\) to both sides:

\(2x - 4 + 4 = -6 + 4\)

\(2x = -2\)

-Divide both sides by \(2\):

\(\frac{2x}{2} = \frac{-2}{2}\)

\(\boxed {x = -1}\)

Therefore, the value of \(x\) is \(-1\).

Answer:

A

Step-by-step explanation:

Because it is an open circle and x has to be greater that 7 so therefore the numberlike is pointing to the numbers that are greater!

9514 1404 393

Answer:

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

  x° +(5x -180)° = 180°

  6x = 360 . . . . . . . . . . . divide by °, add 180

  x = 60 . . . . . . . . divide by 6

__

Left Side Angles

  4y° +2y° = 180°

  6y = 180 . . . . . . . . . divide by °

  y = 30 . . . . . . . divide by 6

a)   The arclength of the curve x = 2t^2, y = t^3, where 2 ≤ t ≤ 23, is approximately 73.11 units.

b)   The arclength of the curve x = 2cos(θ), y = 2sin(θ), where 0 ≤ θ ≤ π, is 2π units.

(a) To find the arclength of the curve x = 2t^2, y = t^3, where 2 ≤ t ≤ 23, we use the formula for arclength:

L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt

First, we find the derivatives dx/dt and dy/dt:

dx/dt = 4t

dy/dt = 3t^2

Then, we plug them into the arclength formula and integrate:

L = ∫(2 to 23) √[(4t)^2 + (3t^2)^2] dt

L = ∫(2 to 23) √(16t^2 + 9t^4) dt

L = ∫(2 to 23) t√(16 + 9t^2) dt

To solve this integral, we can use the substitution u = 16 + 9t^2, du/dt = 18t, dt = du/18t. Substituting this into the integral, we get:

L = (1/18) ∫(52 to 8134) u^(1/2) du

L = (1/27) [u^(3/2)](52 to 8134)

L = (1/27) [(8164^(3/2) - 640) - (168^(3/2) - 640)]

L = (1/27) [1520√168 - 2004√2]

L ≈ 73.11

Therefore, the arclength of the curve x = 2t^2, y = t^3, where 2 ≤ t ≤ 23, is approximately 73.11 units.

(b) To find the arclength of the curve x = 2cos(θ), y = 2sin(θ), where 0 ≤ θ ≤ π, we use the formula for arclength:

L = ∫(a to b) √[dx/dθ]^2 + [dy/dθ]^2 dθ

First, we find the derivatives dx/dθ and dy/dθ:

dx/dθ = -2sin(θ)

dy/dθ = 2cos(θ)

Then, we plug them into the arclength formula and integrate:

L = ∫(0 to π) √[(-2sin(θ))^2 + (2cos(θ))^2] dθ

L = ∫(0 to π) 2 dθ

L = 2π

Therefore, the arclength of the curve x = 2cos(θ), y = 2sin(θ), where 0 ≤ θ ≤ π, is 2π units.

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Answer:

\(x=-3\)

Step-by-step explanation:

Given:

\(4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})\)

Distribute to remove parentheses:

\(4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}\)

For simplification and clarity, reduce all mixed numbers to simplified common fractions:

\(\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}\)

Combine like terms:

\(-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}\)

Add 6/5 to both sides, then add 9/5x to both sides:

\(-\frac{3}{5}x=\frac{9}{5}\)

Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):

\(x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}\)

Answer:

p=7

Step-by-step explanation:

use inverse operation

add 6 to both sides

you get

-3p=-21

divide -3 from both sides

p=7

Answer:

p=7

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

volume of first cylinder = volume of  second cylinder because it never changes it stays the same

volume of first cylinder = (pi) (1)^2 (4) = 4pi

height of second cylinder: 4pi = (pi) (2)^2 h

pi would cancel so you are left with 4=4h

where height of second cylinder would be 1 in