Find the product of the two binomials below
(x-8) (x+4)

Answer:

when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

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The total weight is 18.5 kilograms

Answer:

The percent decrease is 35%.

Step-by-step explanation:

percent change = (new value - old value)/(old value) × 100%

new value = $52

old value = $80

percent change = ($52 - $80)/($80) × 100%

percent change = -$28/$80 × 100%

percent change = -35%

A negative percent change means a percent decrease.

Answer: 35%

Answer:

C

Step-by-step explanation:

t/3 - 1 ≥ -3

Add 1 on both sides

t/3 ≥ -2

Multiply by 3 on both sides

t ≥ -6

Since the symbol is ≥, the line goes to the right and the circle is filled in. The circle is on top of -6. Therefore, the answer is C. That is the only one that meets the requirements.

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The fit function parameter b is related to the time constant in equations 2 and 3 in that they both represent the rate at which a system changes over time.

The time constant is a measure of how quickly a system responds to a change in input, while the fit function parameter b is a measure of how quickly the system's output changes in response to a change in input.

In equation 2, the time constant is represented by the term τ, while in equation 3, it is represented by the term T. Both of these terms are used to describe the rate at which the system's output changes in response to a change in input. The fit function parameter b is also used to describe this rate of change, and is therefore related to the time constant in both equations.

In conclusion, the fit function parameter b is related to the time constant in equations 2 and 3 in that they both represent the rate at which a system changes over time. The time constant is a measure of how quickly a system responds to a change in input, while the fit function parameter b is a measure of how quickly the system's output changes in response to a change in input.

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Answer:

(-15,-3) and (-9,-1)

Step-by-step explanation:

the x and y coordinates were given so we can plug them into the equation individually

first one y=-3

x-3(-3)=-6

x+9=-6

x=-15

second one

x=-9

-9-3y=-6

+9      +9

-3y=3

y=-1

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3

Answer:

irrational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

If a number is rational it can be expressed in a fraction \(\frac{x}{y}\) where x and y are integers.

\(6.2=\frac{62}{10} = \frac{31}{5}\)

Since 6.2 can be expressed in a fraction, it is rational.

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

Step-by-step explanation:

p // q and m is transversal

∠4 + ∠3 = 180    {Co-interior angles are supplementary}

\(\dfrac{1}{2}x + 3 + \dfrac{1}{4}x +12= 180\\\\ \dfrac{1*2}{2*2}x+ \dfrac{1}{4}x + 3 +12=180\\\\ \dfrac{2}{4}x+ \dfrac{1}{4}x+15=180\\\\ \dfrac{3}{4}x = 180-15\\\\ \dfrac{3}{4}x=165\\\\x=165* \dfrac{4}{3}\\\\x= 55*4\\\\x = 220\)

We have cut out a total of 29370 squares.

First, let's find the greatest possible square that can be cut from the rectangle. This square will have a side length equal to the width of the rectangle, which is 26 units.

After cutting this square from the rectangle, we are left with a smaller rectangle that measures 90 units by (90-26=) 64 units.\

Now we repeat the process and cut out the largest possible square, which has a side length of 64 units.

After cutting out this square, we are left with a rectangle that measures 64 units by (64-26=) 38 units.

We continue this process until we can no longer cut out any more squares.

The side length of the remaining rectangle will be the length of the last square that we cut out.

Let's call this side length x.

At this point, the length of the rectangle is equal to the width, so:

90 - 26 - 64 - 38 - ... - x = x.

Simplifying this equation, we get:

(90 - 26 - 64 - 38 - ...) + x = x

2x = 90 - 26 - 64 - 38 - ...

2x = 90 - (26 + 64 + 38 + ...)

2x = 90 - (26 + 64 + 38 + 26 + 16 + 4 + 2)

2x = 90 - 176

2x = -86

x = -43

Since x cannot be negative, we know that we cannot cut out any more squares.

Therefore, we have cut out a total of:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2\)

To calculate this sum, we can use the formula for the sum of the squares of the first n natural numbers:

\(1^2 + 2^2 + 3^2 + ... + n^2 = n(n+1)(2n+1)/6.\)

We need to find the value of n such that \(n^2\) is equal to \(43^2\)or the closest perfect square below it, which is \(42^2\).

We have:

\(42^2 = 1764.\)

\(43^2 = 1849\)

So n is equal to 42.

Therefore, the sum of the squares of the squares we have cut out is:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2 = 26^2 + 64^2 + 38^2 + ... + 42^2\)

\(= 1^2 + 2^2 + 3^2 + ... + 42^2 - (1^2 + 2^2 + 3^2 + ... + 25^2)\)

\(= 42(42+1)(242+1)/6 - 25(25+1)(225+1)/6.\)

= 29370.

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Answer:

137.5 cm²

Step-by-step explanation:

Triangle + parallelogram = (11*7) /2 + (11*9) = 38.5 + 99 = 137.5

I’m am answering this question so that the other person can get a brainliest

Answer:

2. there is no E it would be AB=CD

Answer:

Option (D)

Step-by-step explanation:

Given inequalities are,

\(y>-\frac{1}{3}x+2\) --------(1)

y > 2x - 3 ------(2)

Inequality (1) will be represented by a dotted line having negative slope and y-intercept = 2 → (blue line)

And the solution set will lie in the region left to the dotted line.

Similarly, inequality (2) will be represented by a dotted line with positive slope and y-intercept = (-3) → (red line)

Area above the red line will be the solution set for this inequality.

And the common area of both the inequalities will be solution area to the system of linear inequalities.

Option (D) will be the answer.

Answer:

90.3125 cm³

Step-by-step explanation:

Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.

17/4=4.25 cm

We know the height of pyramid is 15 cm

The formula for the volume of a square pyramid is

V=a²(h/3)

V=a2(h/3)=4.252·15/3=90.3125 cm³

Answer:

26

Step-by-step explanation:

JKL= ABC,  jkl=abc

1.) use law of sines to find k.

\(c^{2} =a^{2} +b^{2} -2abCosC\)    

\(c=\sqrt{920^{2} +860^{2} -2(920)(860)cos(126) } = 1586.225515\)

2.) use law of cosines to find L

\(\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}\)  

plug in for b and c:  \(\frac{860}{sinB} =\frac{1586.225515}{sin126}\)

cross multiply: \(\frac{1586.23sinB}{1586.23} =\frac{860sin126}{1586.23}\)

\(sinB= 0.4386227612\\B=sin^-1(0.4386227612)= 26.01604086\\\)

L=26

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

Answer:

The probability is 0.4444.

Probability is a measure of the likelihood of a particular outcome occurring in a given situation. It is the chance that something will happen or is true. Probability is expressed as a number between 0 (impossible) and 1 (certain). Probability is a mathematical way of predicting what will happen in the future based on a given set of data. It is used to analyze the likelihood of various outcomes in a range of scenarios, such as gambling, finance, insurance, and weather forecasting.

The probability of a randomly selected tester from the group of college-bound seniors having a score between 1497 and 1507 can be calculated using the standard normal distribution. First, we need to convert the scores to standard scores, or z-scores. Subtract the mean from the scores and divide by the standard deviation to get z-scores.

For XXX = 1497, z = (1497 - 1497) / 322 = 0.
For XXX = 1507, z = (1507 - 1497) / 322 = 0.31.

Using a standard normal table, we can calculate the area under the normal curve between 0 and 0.31. The probability of randomly selecting a tester with a score between 1497 and 1507 is 0.4444. The probability is therefore P(1497 ≤ XXX ≤ 1507) = 0.4444.

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Complete questions as follows-
The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with a mean of 149714971497 and standard deviation of 322322322. Let XXX represent the score of a randomly selected tester from this group. Find P(1497 ≤ XXX ≤ 1507).

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Paige bought 32 songs in a month.

Let's break down the cost components in terms of an equation:

The monthly membership fee is $5.

The cost of each song is $0.10.

The total monthly cost is $8.20.

Let s represent the number of songs Paige purchases in a month.

The equation can be written as:

5 + 0.10s = 8.20

This equation represents the total cost of Paige's membership fee plus the cost of the songs she purchases, which equals the total monthly cost of $8.20.

To find the number of songs she bought, we can solve this equation for s.

Subtracting 5 from both sides:

0.10s = 8.20 - 5

0.10s = 3.20

Dividing both sides by 0.10:

s = 3.20 / 0.10

s = 32

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The measurement of the remaining two sides of the triangle be 4cm and 6cm.

Given :- Perimeter of triangle = 18m.

Area of triangle = √135m².

One side of triangle = 8m.

Triangle  is a plane figure with three straight sides and three angles.

Let the equation be Area of ∆ = 1/2bh

= 1/2 ab sin C = 1/2 bc sin A = 1/2 ca sin B

= √( s(s-a)(s-b)(s-c) ) [ where s = (a + b + c)/2 ]

By using Heron's formula to get the Area of triangle,

s = (Perimeter /2) = (18/2) = 9m.

Putting values now we get :-

√(s(s-a)(s-b)(s-c) ) = √135

substitute the values in the above equation, we get

√[9(9-8)(9-b)(9-c)] = √135

Squaring Both sides we get,

9 × 1 × (9-b)(9-c) = (√135)² = 135

Dividing both sides by 9, we get,

(9-b)(9-c) = 15

81 - 9c - 9b + bc = 15

simplifying the above equation, we get

81 - 9(b + c) + bc = 15

9(b + c) - bc = 81 - 15

9(b + c) - bc = 66 -------- (1).

Also, if Rest two sides are b and c, we get,

→ 8 + b + c = 18

→ (b + c) = 18 - 8 = 10 cm. ------ (2).

Putting value of (2) in (1) , we get,

→ 9 × 10 - bc = 66

simplifying the above equation, we get

→ bc = 90 - 66

→ bc = 24 ------------ (3).

We do Factors of (3), we just have to check now, which satisfy Equation (2) also . (sum of Factors will be 10).

24 = ( 1, 24) , (24, 1), ( 2,12), (12,2) , (3,8) ,(8,3) , (4,6),(6,4)

We can see (4,6) or (6,4) Satisfy the (2).

Therefore, the measurement of the remaining two sides of the triangle be 4cm and 6cm.

The complete question is:

the perimeter of a triangular garden is 18 m. if its area is under root 135 m^2 and one of the tree sides is 8 m, find the remaining two sides

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This is an example of an isosceles triangle. An isosceles triangle is a triangle with two equal sides and two equal angles.

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Answer:

a)=80cm^2  b)=42cm^2

Step-by-step explanation:

10x8=80

7x6=42

add cm^2 at the end

Answer:

d, e

Step-by-step explanation:

i did it

Answer: (D, E) Or the last 2

Step-by-step explanation: I took the assignment on edge 2021

Answer:

Step-by-step explanation:

6a(3-4y)+16b(3-4y)

(6a-16b)(3-4y)

2(3a-8)(3-4y)