find the area of the prism

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Answer:

YOOOOOOOOSHI :33

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Substitute:  -5 + 4 × (-2)

Remove the parentheses: -5 -4 ×2

Calculate the product or quotient: -5 -8

Calculate the sum or difference: -13

Answer;

-2

Step-by-step explanation;

Well take the last numbers in these points and subtract them

4 - (-8)

4+8

12

You've got the upper part of the slope fraction now subtract the first two numbers.

-4-2

-6

Put this fun together, 12/-6 = -2

hence, slope=-2 .

Answer:

Step-by-step explanation:

-2

The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)

= 0.290384375

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Answer: 112 feet

Step-by-step explanation:

Answer:

The correct answers are B and C

Answer: -12.35

Step-by-step explanation: Hope this helps!

Answer:  Which expression is equivalent to −24 1/2+16.15−4?

 B) 16.15-28.5 = -12.35

 C) -28.5+16.15= -12.35

  E) 12.15 - 24 1/4 = -12.35

Step-by-step explanation:

Answer:

m∠FAJ = 75°

m∠EOK = 79°

m∠GBF = 64°

m∠CNM = 62°

m∠CDB = 37°

m∠OKL = 111°

m∠DCE = 25°

m∠BML = 82°

m∠JEI = 74°

m∠ALK = 68°

Step-by-step explanation:

Before starting to solve this question, let's remember some angle properties.

In any triangle, the sum of all its interior angles is equal to 180° (I)

In any pentagon, the sum of all its interior angles is equal to 540° (II)

A straight (flat) angle measures 180° (III)

A right angle measures 90° (IV)

When we have two lines (that have an intersection), the vertically opposite angles are equal. (V)

Angles on a straight line add up to 180°. (VI)

When we have two parallel lines that are intersect by a third line :

The corresponding angles are equal. (VII)

The alternate angles are equal. (VIII)

Remembering all this properties now we can follow up with the exercise.

Using (I), we can find the following angles :

m∠DOE = 101°

m∠AKE = 111°

m∠ALB = 112°

m∠BMC = 98°

Using (VI), we can find the following angles :

m∠DON = 79°

m∠EKO = 69°

m∠AKL = 69°

m∠ALK = 68°

m∠BLM = 68°

m∠BML = 82°

m∠EOK = 79°

m∠CMN = 82°

Using (V), we can find the following angles :

m∠KON = 101°

m∠OKL = 111°

m∠KLM = 112°

m∠LMN = 98°

Using (II), we can find that :

m∠MNO = 118°

Using (V) again :

m∠CND = 118°

Now in the point N, the sum of all 4 angles is 360° and also the vertically opposite angles are equal. Therefore, we find that

m∠DNO = 62°

m∠CNM = 62°

Using (I) we find that :

m∠LAK = 43°

Using (VI) we can find m∠FAJ which is :

m∠FAJ = 75°

Using (I) we find that :

m∠LBM = 30°

Using (VI) we find that :

m∠GBF = 64°

Using (I) we find that :

m∠KEO = 32°

Now using (VI) we find that :

m∠JEI = 74°

Using (I) we find that :

m∠ODN = 39°

Now using (VI) we find that :

m∠CDB = 37°

Finally, using (I) we can find that

m∠DCE = 25°

We have all the measures asked.

Answer:

Give the other guy brainliest

Step-by-step explanation:

It helped me in RSM

Answer:

3 X (2+3)

Step-by-step explanation:

If we have five students (3 girls and 2 boys), and three groups, we can use the expression 3 X (2+3), which concludes three groups times five students (in each group), which will give us our total of 15 students.

Answer:

0.1

0.3

0.22

0.38

Step-by-step explanation:

Answer:

1ST BOX Picking a Comedy movie

2ND BOX picking a science  fiction movie

3RD BOX picking a dramatic movie

LAST BOX Picking a romantic movie

Step-by-step explanation:

I took the test

The total surface area of the pyramid is:260 ft²

The area of a triangle is expressed as:

A = ¹/₂bh

where:

b denotes the base of the triangle

h denotes the height of the triangle

Area of rectangle is:

A = l * w

where:

l denotes the length of the rectangle

w denotes the width of the rectangle

Thus, the total surface area of the given pyramid is:

Total Surface Area =  4(¹/₂(10 * 12)) + (10 * 10)

Total Surface Area  = 240 + 20

Total Surface Area  = 260 ft²

Therefore, we can conclude that is the calculation of the total surface area of the composite figure.

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Answer:

igneous

Step-by-step explanation:

igneous rocks are made out of molten lava or magma

Answer:

sedimentary rock/igneous rock and Metamorphic rock

Step-by-step explanation:

Answer:

150 cookies

Step-by-step explanation:

The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.

Hope this helps!

The Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞) and Range: (-∞, 0) ∪ (0, ∞).

What is domain?

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

According to question:

In this case, the denominator of the function is a quadratic expression, and we know that dividing by zero is undefined. Therefore, we need to find the values of x that make the denominator equal to zero, and exclude those values from the domain.

To find the values that make the denominator equal to zero, we can factor it as follows:

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

So, the denominator is equal to zero when x = 6 or x = -3. Therefore, the domain of the function is all real numbers except x = 6 and x = -3.

Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞)

The range of a function consists of all possible output values of the function, given the domain of the function.

To find the range of this function, we need to analyze the behavior of the function as x approaches positive or negative infinity.

As x approaches positive infinity, both the numerator and denominator of the function approach positive infinity. Therefore, the function approaches zero.

As x approaches negative infinity, both the numerator and denominator of the function approach negative infinity. Therefore, the function approaches zero.

Since the function approaches zero as x approaches positive or negative infinity, we can say that the range of the function is all real numbers except zero.

Range: (-∞, 0) ∪ (0, ∞).

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

F

Step-by-step explanation:

Answer:

Historians label an event as a turning point when it​ marks the beginning of a distant historical period

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15 is the total number of all possible combinations for choosing 2 elements at a time from 6 distinct elements without considering the order of elements in statistics & probability surveys or experiments.

Answer:

-5/14

Step-by-step explanation:

simplify fraction.

-1/2 (-5)•1/-7

then multiply.

-1/2 (-5) (-1/7)

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

Given that there is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds.will register a weight greater than 80 pounds

When a body is submerged in a water an upward force acts on the body known as buoyant force which is equal to weight of the water displaced by the body. Since water exerts Buoyant force on the body and according to Newton's third law there must be equal and opposite force exerted by the body on the water. This additional force equal and opposite to the Buoyant force will cause the reading of the scale to increase. Therefore the scale will register a weight greater than 80 pounds due to Newton’s Third Law.

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The complete question is :

There is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds. When a metal cube is submerged tied to a string end into the container, which of the following statements accurately describes the result?

The cube’s density must be provided to predict what will happen

The scale will remain at 80 pounds until the cube is floating on top of the water fully submerged.

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

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The net of a cone is composed of a circle and a triangle.

See below:

The base is a circle and the lateral sides are in a shape of a triangle.

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

the answer to the question is 1

Answer:

-26 Is the correct answer

Step-by-step explanation:

Answer:

man its

C

hope I heped

Step-by-step explanation:

if there is 4 digits and 9 numbers each there is a possibility of 9 to the power of 4 different combinations.

Answer:

Marina's age = 12

Her father's age = 48

triple Marina's age = 12x3

= 36

The age of Marina's sister

= 48-36

= 12

Therefore, Marina's sister's age is 12

Answer:

no

Step-by-step explanation: