Find the factorization of the polynomial below.
64x2 + 48 x + 9
O A. (8x+3)(8x-3)
O B. (8x + 9)(8x + 9)
O C. (8x+3)(8x + 3)
O D. (8x + 9)(8-9)

The algebraic expression that represent its area is  x² - 12x + 35

The measurements of the land so that the area is 1,760 m² is  42.964m by 40.964m

The perimeter of the land is 167.856 m

The sides of the rectangle are (x - 5) and (x - 7) .

The area of a rectangle is represented as follows:

area = lw

where

l = length

w = width

Therefore, the algebraic representation of the area can be represented as follows;

area = (x - 5)(x - 7) = x² - 7x - 5x + 35 = x² - 12x + 35

The measurement of the land so that the area will be 1760 m² can be calculated as follows:

x² - 12x + 35 = 1760

x² - 12x - 1725 = 0

using the quadratic formula,

-b ±√b²- 4ac / 2a

a = 1

b = - 12

c = - 1725

Therefore,

x =  12 + 2√1761 / 2

x = 47.964

or

x = 12 - 2√1761 / 2

or - 35.964

x can't be negative because it does not fit in for the sides of the rectangle. so we have to use x = 47.964.

The measurements will be as follows:

(47.964 - 5)(47.964 - 7).

The measurement will be approximately 42.964m by 40.964m.

The perimeter will be as follows:

perimeter = 2(42.964 + 40.964) = 167.856 m.

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Answer:

4 pages

Step-by-step explanation:

Answer:

thanks for free points :3

Step-by-step explanation:

The volume of a cuboid will be, V =  2x² If it has one side of 2 meters and the other two sides are of equal length.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, The volume of a cuboid is (length×width×height).

Assuming the height of the cuboid to be 2 meters and it has a square base of 'x' meters.

Therefore, The volume of the cuboid V = 2×x×x.

V = 2x².

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The equation of the tangent plane to the surface at the point (4, -4, -144) is -8x + 64y - z - 256 = 0.

To find the equation of the tangent plane to the surface at the point (4, -4, -144), we need to find the partial derivatives of z with respect to x and y at that point:

∂z/∂x = 2x + 4y

∂z/∂y = 4x - 12y

Substituting x=4 and y=-4 into these expressions, we get:

∂z/∂x = 2(4) + 4(-4) = -8

∂z/∂y = 4(4) - 12(-4) = 64

So the normal vector to the tangent plane at the point (4, -4, -144) is <∂z/∂x, ∂z/∂y, -1> = <-8, 64, -1>. Therefore, the equation of the tangent plane is:

-8(x - 4) + 64(y + 4) - (z + 144) = 0

Simplifying this equation, we get:

-8x + 64y - z - 256 = 0

So the equation of the tangent plane to the surface at the point (4, -4, -144) is -8x + 64y - z - 256 = 0.

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Answer:

x = 7, -25

Step-by-step explanation:

There are 2 solutions to this problem.

First, divide both sides by 5.

\(\frac{5|x+9|}{5} = \frac{80}{5}\)

Simplify.

|x+9| = 16

2 solutions, the definition of absolute value.

x+9 = 16

x+9 = -16

Subtract 9 on both sides.

x + 9 - 9 = 16 - 9

x + 9 - 9 = -16 - 9

x = 7, -25

The volume of the  is right triangular prism is   600 cubic feet.

In a right triangular prism, the area of the triangular base is 50 square feet, and the height of the prism is 12 feet. To find the volume of the prism, we can use the formula:

Volume = Base Area × Height

Step 1: Identify the base area, which is given as 50 square feet.
Step 2: Identify the height of the prism, which is given as 12 feet.
Step 3: Multiply the base area by the height to find the volume.

Volume = 50 square feet × 12 feet = 600 cubic feet

So, the volume of the right triangular prism is 600 cubic feet.

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Answer:

Step-by-step explanation:

148 000 000 km + 800 000 km = 148 800 000 km

Answer:

The answer would be 71 because x = 9 so y = 71

Answer:

5, left

Step-by-step explanation:

Because negative x is 5 units to the right of zero, that means that negative x is 5, because 5 is 5 units right of zero.

\(-x=5\)

To figure out x, we must multiply both sides by negative one, and since negative one times negative x equals positive x, we have the value of x.

\(x=-5\)

That means that x is 5 units to the left of zero.

Answer:

Step-by-step explanation:

(x - 2)/2 = 1

x - 2 = 2

x = 4

(y + 5)/2= 1

y + 5 = 2

y = -3

(4, -3) Coordinates of B

The coordinates of endpoint B is (4,-3).

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

Mid point of line segment = M(1,1) i.e. (x,y)

coordinates of A = (-2,5) i.e. (x₁ ,y₁ )

So we have,

x = 1

y = 1

x₁ = -2

y₁ = 5

Let the coordinates of the end point be B(x₂,y₂)

Since,

x = (x₁+x₂)/2

⇒ x₂ = 2x - x₁

Put the values we get,

⇒ x₂ = 2*1 - (-2)

⇒ x₂ = 2 + 2

⇒ x₂ = 4

Similarly,

y = (y₁+y₂)/2

⇒ y₂ = 2y- y₁

Put the values we get,

⇒ y₂ = 2*1- 5

⇒ y₂ = 2 - 5

⇒ y₂ = -3

Hence, the coordinates of endpoint B is (4,-3)

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Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

Answer:

0.6 squares per circles

3:5

Step-by-step explanation:

if you are looking for a different answer just comment on this

\(\huge\pmb{Hi!}\)

Here's what a ratio looks like:

Let's assume we have numbers a and b.

The ratio of a to b is:

a:b

So, let's figure out the ratio of squares to circles:

9:15

Is the ratio in its simplest form? No, it isn't. We can divide 9 and 15 by 3.

\(\huge\boxed{\star{Answer:3:5\star}}\)

Hope it helps! Enjoy your day!

~Just a determined gal

\(\bf{^e^r^u^t^a^N\:^t^n^e^l^i^S\)

Answer:

50% for each spinning green and red cards

Answer:

7

Step-by-step explanation:

Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.

We have the following number - 5.80405471744

We have to round it off to the nearest thousandth.

The rules are as follows -

According to question, we have -

Number = 5.80405471744

We have to round it off to nearest thousand, which means we have to keep three digits after decimal. Therefore -

Rounded Number = 5.804 (Using the rule 2)

Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

8640 square inches

Step-by-step explanation:

There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.

Answer:

\(y=\frac{1}{3} x+7\)

Step-by-step explanation:

We need to find the equation of a line perpendicular to \(y=-3x-3\), which passes through the point (-3, 6).

Recall that a line perpendicular to a line of the form: \(y=mx+b\), must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;

\(slope=-\frac{1}{m}\)

Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:

\(slope=-\frac{1}{-3} =\frac{1}{3}\)

We now know the slope, and also a point for this new line, so we use the point-slope form of a line:

\(y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7\)

Answer:

the answer is 3.26 pounds

Answer:

37.7 pounds

Step-by-step explanation:

-Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.

54 - 16.3 = 37.7

Using a 92% learning curve rate, the estimated manual labor hours required to build the 5th house would be 1,034 hours, the 10th house would be 692 hours, and all 18 houses combined would require 3,046 hours. Additionally, if the learning curve rates are 70%, 75%, and 80%, the estimated manual labor hours for all 18 houses would be 5,177, 4,308, and 3,636 hours, respectively.

The learning curve formula is given by \(Y = a * X^b\), where Y represents the cumulative average time per unit, X represents the cumulative number of units produced, a is the time required to produce the first unit, and b is the learning curve exponent.

In this case, the learning curve rate is 92%, which means the learning curve exponent (b) is calculated as log(0.92) / log(2) ≈ -0.0833.

a. To estimate the time required to build the 5th house, we can use the learning curve formula:

\(Y = a * X^b\)

\(Y(5) = 3500 * 5 ^ (-0.0833)\)

Y(5) ≈ 1034 hours

b. Similarly, the time required to build the 10th house can be estimated:

\(Y(10) = 3500 * 10^(-0.0833)\)

Y(10) ≈ 692 hours

c. The cumulative time required to build all 18 houses can be estimated by summing the individual estimates for each house:

\(Y(18) = 3500 * 18^(-0.0833)\)

Y(18) ≈ 3046 hours

d. To calculate the manual labor estimates for all 18 houses using different learning curve rates, we can apply the respective learning curve exponents to the formula. The results are as follows:

- For a 70% learning curve rate: Y(18) ≈ 5177 hours

- For a 75% learning curve rate: Y(18) ≈ 4308 hours

- For an 80% learning curve rate: Y(18) ≈ 3636 hours

In conclusion, using the given learning curve rate of 92%, the estimated time required to build the 5th house is 1034 hours, the 10th house is 692 hours, and all 18 houses combined would require 3046 hours. Additionally, different learning curve rates yield different manual labor estimates for all 18 houses.

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Answer:

x=21-5x4

x=21-20

x=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

A = \(\frac{(1+6)}{2}\) (12) = 42 units²

The raw score represented by a z score of 2.00 is 130 (option d).

A z score, also known as a standard score, measures the distance between a particular raw score and the mean of a distribution in terms of standard deviations. In this case, the given set of scores has a mean of 100 and a standard deviation of 15. A z score of 2.00 indicates that the raw score is two standard deviations above the mean.

To find the corresponding raw score, we can use the formula:

Raw Score = (Z Score × Standard Deviation) + Mean

Plugging in the values, we have:

Therefore, a z score of 2.00 in this distribution corresponds to a raw score of 130.

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Answer: ITS A! I HAVE THE SAME TEST!

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

Depending on where you start, the protractor can read in different ways. Since the measure of this angle started from the left, you read the numbers at the top. If the measure would have started from the right, you read the numbers below.

A good rule of thumb is that if the angle appears to be greater than 90 degrees, or an obtuse angle, you would choose the only answer choice that is above 90 degrees.

Hope this helps!

The answer for the following question is

1. m= 10  

2. y- intercept = 300

3. y = 10x + 300

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables

1.slope= rise/ run

m= 10  

2. y- intercept = 300

3. Now, the regression line:

y = 10x + 300

At, x = 1

y = 10(1) + 300

y = 310 calories

and  x = 14

y = 10(14) + 300

y = 440

We know the actual value is 330.

Hence, the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.

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Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation: