How many faces, vertices, and edges are in the figure below?

Answer:

-11/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-57)/(23-3)

m=-55/20

simplify

m=-11/4

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Answer:-11/4

Step-by-step explanation:

Answer:

No, the following expression is not a difference of squares. Binomial can not be factored as the  difference of two perfect squares. 3 is not a square.

Step-by-step explanation:

Factor

15x^2 - 25

(15x)^2(-5)^5

Divide by 3 and factor

5(3x^2-5)

"Theory:

A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression."

I put a picture to help u understand.

Answer:

We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.

Remember that the mean between two numbers A and B is:

Mean = (A + B)/2

In this case, the mean diameter will be:

D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi

And we know that the surface of a sphere of diameter D is:

S = 4*pi*(D/2)^2

Where pi = 3.14

Then the surface of the Earth will be something like:

S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2

b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.

First, the total surface of the Earth will be:

S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2

And 75% of this is water, then the total water surface is 0.75 times that area, this is:

water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2

Answer:

B

Step-by-step explanation:becuase the notatipn of the 5 and 3 is correct along iwht the rest of the collum

Answer:

0

Explanation:

Given the difference:

In front-end rounding, we consider the number with the largest place value.

In -36.673, the number with the largest place value is 3.

The digit after 3 us 6, so we round up as follows:

Likewise, In 39.999, the number with the largest place value is 3.

The digit after 3 us 9, so we round up as follows:

Therefore:

The diffrence is 0 using front-end rounding.

The domain and range is  [-4, 4] and [0, 4]

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

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Slope intercept form: y = mx + b

m = slope

b = y-intercept

We are given the slope of 5/3.

We can solve the y-intercept by using the given slope and coordinate:

y = 5/3x + b

5 = 5/3(6) + b

5 = 10 + b

5 - 10 = 10 - 10 + b

-5 = b

Put this into the final equation:

y = 5/3x - 5

Best of Luck!

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Answer:

w=-16

Step-by-step explanation:

divide -192 by 12 to isolate w

Answer:

w=-16

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

The integrating factor for the given differential equation is u(y) = e^t, and the simplified form of the equation after multiplying by the integrating factor is e^t y' - ∫e^(2t) y dt = C.

To solve the given differential equation y'' + 2y' - e^t y = 0, we can find a suitable integrating factor u(y).
Step 1: Write the given equation in standard form: y'' + 2y' - e^t y = 0.

Step 2: Identify the coefficients of y'' (1), y' (2), and y (e^t).

Step 3: To find the integrating factor u(y), we multiply the entire equation by u(y) such that u(y) y'' + u(y) 2y' - u(y) e^t y = 0.

Step 4: We aim to choose u(y) in such a way that the left-hand side becomes the derivative of a product rule.

Step 5: For this equation, the suitable integrating factor u(y) = e^t.

Step 6: Multiply the original equation by e^t: e^t y'' + 2e^t y' - e^(2t) y = 0.

Step 7: Notice that the left-hand side is now the derivative of (e^t y').

Step 8: Rewrite the equation: d/dt (e^t y') - e^(2t) y = 0.

Step 9: Integrate both sides with respect to t: ∫d/dt (e^t y') dt - ∫e^(2t) y dt = 0.

Step 10: Simplify and solve for y: e^t y' - ∫e^(2t) y dt = C, where C is the constant of integration.

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Answer:

2 7/24 gallons

(sorry if its wrong)

Answer:

k is the vertical translation where; if k > 0 the translation is k units up. if k < 0 the translation is k units dn. Remember the order we are supposed to perform the transformations.

To find the exact area of the surface obtained by rotating the given curve about the x-axis, we can use the formula for the surface area of revolution. The formula states that the surface area is given by:

A = 2π ∫[a,b] y(t) √[1 + (dy/dt)^2] dt

In this case, the curve is defined by x = 9t - 3t^3 and y = 9t^2, with the parameter t ranging from 0 to 1. We need to calculate the surface area using this formula.

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The interval of I₁ or I₂ or I₄ is  (2.5 ,10].

The interval of I₁ and I₂ is  [3 , 5.5] .

The interval of I₁ and I₃ is  [5.5]

The interval of I₁ and I₄ is (5.6 , 7]

(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].

(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .

(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]

(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .

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The complete question is given below :

Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find

(a) I₁ or I₂ or I₄

(b) I₁ and I₂

(c) I₁ and I₃

(d) I₁ and I₄

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Answer:

x>−7

Explanation:

Let's solve your inequality step-by-step.

−4x<28

Step 1: Divide both sides by -4.

−4x/−4 < 28/−4

x>−7

Answer: x>−7

Answer:

I think when u substitute the order pair for x and y Into the equation the y is gonna be les than the x + 10

Step-by-step explanation:

K so am confused abt ur question but here

example (2,5)

y < x + 10

substitute 2 for x and 5 for y

5 < 2 + 10

5 < 12

y is less than x + 10

Answer:

B. Zero

Step-by-step explanation:

The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.

Answer:

Zero slope :)

Step-by-step explanation:

A zero slope is a horizontal line. When there is a zero slope, y will be equal to a constant. :)

Have an amazing day!!

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Answer:

180°

Step-by-step explanation:

Step-by-step explanation:

this is the answer i guess

In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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Answer:

A.

Step-by-step explanation:

D: there is no square root

for both C and B there is no decimal.

A should end up being y=-8x+5 which is in y=mx+b form

Square root of 36 plus the square root of 125 cubed plus 8 to the power of 2" is 1,953,195 + 5√5

To find the square root of 36, we take the square root of 36, which is 6.

To find the square root of 125, we can break it down into its prime factors:

125 = 5 * 5 * 5.

Taking the square root of each factor, we get

√125 = √(5 * 5 * 5) = 5√5.

To find 125 cubed, we multiply 125 by itself three times:

125 * 125 * 125 = 1,953,125.

To find 8 raised to the power of 2, we multiply 8 by itself:

8 * 8 = 64.

So, the expression becomes:

6 + 5√5 + 1,953,125 + 64.

Therefore, the answer to the expression "square root of 36 plus the square root of 125 cubed plus 8 to the power of 2" is 1,953,195 + 5√5.

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Answer:

\(10^{4.876}=y\)

Step-by-step explanation:

Logarithms are just another way of arranging an exponential equation! You know how you can rearrange the equation 2 + 3 = 5 as 5 - 3 = 2, or the equation 2 x 3 = 6 as 6 ÷ 3 = 2? With logarithms, you can do the same thing with an equation like 2³ = 8. As a logarithm, we would write this equation as log₂(8) = 3. Here, we call 2 the base, 8 the argument, and 3 the exponent.

Logarithms like the one in the problem with a base of 10 are just written as log, without the base written out. In the equation log(y) = 4.876, our base is 10, our argument is y, and our exponent is 4.876, so as an exponential equation, we would write it as

\(10^{4.876}=y\)

Answer:

(7,6)

Step-by-step explanation:

Add 5 to the x-value of the point.

Answer

DFE and FED

Step-by-step explanation:

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

How do you write out 8x in words? Um...eight times, I think.

Step-by-step explanation:

Answer:

Step-by-step explanation:

eight x

or eight times

(depends if it is a variable or multiplication sign)