I don't know how to find the perimeter to this shape.

Answer:

384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)

Step-by-step explanation:

Answer:

C. -2(-2)

Step-by-step explanation:

A. -2(-1/5) = 1

B. -2(1/2)=1

C. -2(-2)=4

D. -2(2)=-4

55°

To solve this, follow these steps:

i. Make a sketch of the problem.

The sketch has been attached to this response.

ii. Label the sketch properly

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. Solve using the tangent trigonometric ratio

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

Answer:

no

Step-by-step explanation:

It is not because 7 is not an even number.

Answer:

-7 is not an even number.

Step-by-step explanation:

Even numbers are numbers that end in 0, 2, 4, 6, and 8.

This makes the number -7 Odd.

Odd number are numbers that end in 1, 3, 5, 7, and 9.

Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

Answer:

1/8 of males as females are 7 times of males are x then females are 7x so the fraction of males x will be 1/8

Step-by-step explanation:

Therefore, approximately 1,491 Whos will be infected 10 days after the virus is first detected.

To approximate the number of Whos that will be infected 10 days after the virus is first detected, we can use the concept of exponential growth. We can use the formula for exponential growth:\(P(t) = P0 * (1 + r)^t,\) where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the time in days.

Let's calculate the growth rate (r) first:

r = (800 - 100) / 5

= 140 Whos per day

Now, we can calculate the approximate number of infected Whos 10 days later:

\(P(10) = 100 * (1 + 140/100)^{10\)

Using a calculator, we can compute this value:

\(P(10) ≈ 100 * (1.4)^{10\)

= 1491.03

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Answer:

Thaey are proportional

Step-by-step explanation:

Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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The given logarithmic equation (3.172 * 10 ⁺ ³ ) ⁶ is calculated to be -14.992

Information given in the equation in the question

Find the log of (3.172*10-³)⁶

logarithm refers to the exponent which a base number should be raised to get a given number

solution for the logarithmic equation

log of (3.172 * 10 ⁺ ³ ) ⁶

= 6 log  (3.172 * 10 ⁺ ³ )  

= 6 log 3.172 + 6 log 10 ⁺ ³

= 6 log 3.172 + 6 * -3 log 10

log ₁₀ 10 = 1

= 6 log 3.172 + 6 * -3 * 1

= 3.008 + ( - 18 )

= -14.992

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Answer:

5 miles

Step-by-step explanation:

distance = rate times time

distance = (10 miles per hour)( 30 minutes)  30 minutes is equal to 1/2 hour

distance = \(\frac{10 miles}{hour}\) \((\frac{1 hour}{2} )\)  You can cancel words, like like cancelling numbers  The hours cancel out and you are left with \(\frac{10 miles}{2}\)  which is equal to 5 miles.

Answer: 5 miles

Step-by-step explanation:

Jim runs 10 miles per hour, and 30 minutes is half an hour, so divide 10 by 2.

data:

radius=1.3 in

height=4.8 in

aluminum

Answer:

6 hours

Step-by-step explanation:

m= money in dollars earned

h= number of hours worked

you would replace m with the 51 since that is how much he earned in dollars and then solve the equations as such

51= 6h+15 (subtract 15 from both sides)

36=6h (then divide both sides by 6)

6=h

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Therefore , the solution of the given problem of speed comes out to be Tory will never keep pace to Juan because Juan has a one-minute head start on him.

We can estimate something's pace by observing it from a distance. The amount of distance an object can move in a specific amount of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most popular units of speed are miles per hour (mpg), kilometres per hour (kilometres), and metres for every second (m/s) (mph).

Here,

To resolve this issue, we can use the formula distance = rate x duration.

Assume Juan runs for t minutes prior to Tory beginning to run. Juan travels 704 feet in that period of time.

Juan has already travelled 704 feet when Tory begins to sprint. Since that time, Juan and Tory have been moving at the same pace of 704 feet per minute.

Suppose Tory needs x minutes to make up to Juan. In that period of time, Tory travels 704 feet.

Juan and Tory have travelled the same distance overall because they meet at the same location. Thus, we can construct the following equation:

=> 704t = 704x

If we simplify, we get:

=> t = x

Tory will never keep pace to Juan because Juan has a one-minute head start on him.

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Answer:

through a given plane

Step-by-step explanation:

Answer:

P (- 5, 0 )

Step-by-step explanation:

To find where the line meets the x- axis, let y = 0 , that is

- 4x - 20 = 0 ( add 20 to both sides )

- 4x = 20 ( divide both sides by - 4 )

x = - 5

The coordinates of P are (- 5, 0 )

The partial derivative of the function with respect to y is: ∂/∂y [(8y-8x)/(9x+8y)] = 8/(9x+8y) - (64x)/(9x+8y)^2To find the partial derivatives of the function (8y-8x)/(9x+8y), we need to take the derivative with respect to each variable separately.

First, let's find the partial derivative with respect to x. To do this, we treat y as a constant and differentiate the function with respect to x:
(8y-8x)/(9x+8y)
= (8y)/(9x+8y) - (8x)/(9x+8y)
Using the quotient rule, we can simplify this expression:
= (-8y(9))/((9x+8y)^2) - 8/(9x+8y)
Simplifying further, we get:
= (-72y)/(9x+8y)^2 - 8/(9x+8y)
Therefore, the partial derivative of the function with respect to x is:

∂/∂x [(8y-8x)/(9x+8y)] = (-72y)/(9x+8y)^2 - 8/(9x+8y)
Now, let's find the partial derivative with respect to y. To do this, we treat x as a constant and differentiate the function with respect to y:
(8y-8x)/(9x+8y)
= (8y)/(9x+8y) - (8x)/(9x+8y)
Using the quotient rule again, we get:
= 8/(9x+8y) - (8x(8))/((9x+8y)^2)
Simplifying further, we get:
= 8/(9x+8y) - (64x)/(9x+8y)^2
Therefore, the partial derivative of the function with respect to y is:
∂/∂y [(8y-8x)/(9x+8y)] = 8/(9x+8y) - (64x)/(9x+8y)^2
And that's how we find the partial derivatives of the function (8y-8x)/(9x+8y) using the quotient rule and differentiation with respect to each variable separately.

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Answer:

90

Step-by-step explanation:

90 has 0 ones so it is already rounded.

Answer:

90

Step-by-step explanation:

Hey there!

Well 90.000 to the nearest tenth is just 90 because there is decimal places to round.

Hope this helps :)

Answer:

(0,0)

Step-by-step explanation:

The y-intercept is where the parabola crosses the y-axis. The y-intercept is expressed as a coordinate pair, where x is always equal to 0 because the y-axis exists where x=0.

There are 2 ways to find the y-intercept of a function. The first way is to plug in 0 for x because you know that x=0 at the y-intercept. Then, solve for y.

\(y=0^2+3(0)\)

y=0

The second, and easier, way to find the y-intercept is to use logic. Since you are plugging in 0 for x, all terms that have variables will equal 0. This means that all that is left are the constants. So, the easiest way to find the y-intercept is to just simplify the constants. Whatever this equals will be the y-value of the y-intercept. Since there are no constants written in this equation, the constant must be 0. If 0 is the constant, then that must mean that the y-value of the intercept is 0.

Answer:

-.54*8

And we get: -4.32

Step-by-step explanation:

Answer:

The answer is A) 14/12

Step-by-step explanation:

The common denominator here is 12.

1/3 is multiplied by 4 to get 12 on the bottom, and 4 on the top (4/12)

2/4 is multiplied by 3 to get 12 on the bottom, and 6 on the top (6/12)

4/12 stays the same

Now, we have 4/12 + 6/12 + 4/12

Add all the numerators to get 14/12 as your answer.

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

\(2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)\)

\(8a^2b^3 - 4ab^4 = XaY^3(z - b)\)

\(4ab^3(2a-b) = XaY^3(z - b)\)

X = 4

y = b

z = 2a

Morgan will score 150.7 points in 11 season

The first step is to calculate the number of point that Morgan will score in one season

41= 3

x= 1

cross multiply both sides

3x= 41

x= 41/3

x= 13.7

The number of points he will score in 11 game season can be calculated as follows

= 13.7 × 11

= 150.7

Hence Morgan will score 150.7 points in 11 game season

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Answer: Debnil has 2 Tablespoons of salt.

Step-by-step explanation:

3/1 is the ratio for teaspoons to tablespoons.

Substitute the 1 with the 6. What is six divided by three? 2.

A sample distribution should resemble a population distribution in three key ways: shape, central tendency, and dispersion.

Shape: The shape of the sample distribution should closely resemble the shape of the population distribution. This means that the frequencies or probabilities of different values or categories in the sample should be similar to those in the population. For example, if the population distribution is normally distributed, the sample distribution should also exhibit a similar bell-shaped curve. Similar shape ensures that the sample captures the underlying patterns and characteristics of the population.

Central tendency: The measures of central tendency, such as mean, median, and mode, should be similar between the sample and the population distributions. If the population has a specific mean or median value, the sample should reflect this central tendency. This similarity indicates that the sample is representative and provides an accurate estimate of the population's central values. If the sample's central tendency deviates significantly from the population, it may not be a reliable representation.

Dispersion: The dispersion or variability of the sample distribution should resemble that of the population distribution. This refers to how spread out the data points are around the central values. If the population distribution has a high degree of variability, the sample distribution should also exhibit similar variability. Conversely, if the population distribution is relatively narrow or tightly clustered, the sample should reflect this as well. Matching dispersion helps ensure that the sample captures the range and diversity of values present in the population.

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Answer:

The depth is 5.33cm

Step-by-step explanation:

Given

\(D =20cm\) --- diameter at open end

\(d = 12cm\) --- diameter at bottom

\(H=16cm\) -- depth

\(d_c = 28cm\) --- diameter of the cylinder

Required

The depth the bucket will fill the cylinder

First, calculate the radii at the ends of the bucket

\(R=D/2 =20cm/2 = 10cm\)

\(r=d/2 =12cm/2 = 6cm\)

The volume of the bucket (frustum) is:

\(V = \frac{1}{3} \pi H(R^2 + Rr + r^2)\)

\(V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)\)

\(V = \frac{1}{3} *\pi * 16 * 196\)

\(V = 1045.33\pi cm^3\)

The volume of a cylinder is:

\(V = \pi r_c^2h_c\)

Where:

\(r_c = d_c/2 = 28cm/2 =14cm\)

So, we have:

\(1045.33\pi = \pi * 14^2 * h_c\)

\(1045.33\pi = \pi * 196 * h_c\)

\(1045.33\pi = 196\pi * h_c\)

Make h the subject

\(h_c = \frac{1045.33\pi}{ 196\pi}\)

\(h_c = \frac{1045.33}{ 196}\)

\(h_c = 5.33\)

The slope of the tangent line is -3/5. So, the correct option is (e).

To find the curve C, we substitute y = 1 into the equation for the surface:

z = arctan((x + y)/(1 - xy))

z = arctan((x + 1)/(1 - x))

So the curve C is given by the equation:

C: (x, 1, arctan((x + 1)/(1 - x)))

To find the slope of the tangent line to C at the point where x = 2, we need to take the derivative of z with respect to x and evaluate it at x = 2:

z = arctan((x + 1)/(1 - x))

dz/dx = 1/(1 + ((x + 1)/(1 - x))^2) * (1 - (x + 1)/(1 - x)^2)

= (1 - x^2)/(1 + 2x)

At x = 2, the slope of the tangent line is:

dz/dx | x=2 = (1 - 2^2)/(1 + 2(2)) = -3/5

Therefore, the correct answer is (e) -3/5 .

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____The given question is incomplete, the complete question is given below:

The plane y=1 intersects the surface z= arctan((x + y)/(1=xy)) in a curve C. Find the slope of the tangent line to C at the point where x=2. Select one: a 1/3, b 1/5, c 1/2, d -1, e -3/5.