What is the area of the trapezoid?

110 square inches
32 square inches
140 square inches
80 square inches

Answer:

the answer is c

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Answer:

Part a) Alyssa's expectation is equal to $0.33

Part b) Gabriel's expectation is equal to -$0.33

Step-by-step explanation:

we know that

The expected value is the probability of winning multiplied by the value you get when you win, plus the probability of losing multiplied by the value you get when you lose (which is negative as it is a loss).

Part a) Determine​ Alyssa's expectation

we know that

1) If Alyssa rolls a​ 1, 2, or​ 3, Gabriel gives Alyssa ​$4

The probability is 3/6

so

we have

[tex]\frac{3}{6}(4)=\$2[/tex]

2) If Alyssa rolls a​ 4, or​ 5, Gabriel gives Alyssa ​$1

The probability is 2/6

so

we have

[tex]\frac{2}{6}(1)=\$0.33[/tex]

3) if Alyssa rolls a​ 6, she gives Gabriel ​$12

The probability is 1/6

so

we have

[tex]-\frac{1}{6}(12)=-\$2[/tex]  ---> is negative because is a loss

therefore

Alyssa's expectation is equal to

[tex]\$2+\$0.33-\$2=\$0.33[/tex]

Part b) Determine​ Gabriel's expectation

we know that

1) If Alyssa rolls a​ 1, 2, or​ 3, Gabriel gives Alyssa ​$4

Is a loss for Gabriel

The probability is 3/6

so

we have

[tex]-\frac{3}{6}(4)=-\$2[/tex]  ---> is negative because is a loss

2) If Alyssa rolls a​ 4, or​ 5, Gabriel gives Alyssa ​$1

Is a loss for Gabriel

The probability is 2/6

so

we have

[tex]-\frac{2}{6}(1)=-\$0.33[/tex] ---> is negative because is a loss

3) if Alyssa rolls a​ 6, she gives Gabriel ​$12

Is a win for Gabriel

The probability is 1/6

so

we have

[tex]\frac{1}{6}(12)=\$2[/tex]  

therefore

Gabriel's expectation is equal to

[tex]-\$2-\$0.33+\$2=-\$0.33[/tex]

The expected outcomes for both Alyssa and Gabriel from the game are $0. This is calculated using the probabilities of each outcome and their respective gains or losses.

In the game between Alyssa and Gabriel, we are to calculate the expected outcomes for both players. To calculate the expectation, we will weigh the possible outcomes ($4, $1, -$12 for Alyssa and -$4, -$1, $12 for Gabriel) by their probabilities.

The dice has six faces, so the probability for each outcome is determined by the number of corresponding faces divided by six. Let's calculate the expectation for both:

So, both Alyssa and Gabriel have an expected gain of $0 from this game.

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7/-21=7/4.58=350/229=1whole number 121/224

We know that 8(hrs) is 4 times 2(hrs) so now we just need to multiply.

Multiply 1,100 by 4.

1,100 × 4 = 4,400

The jet will fly 4,400 miles in 8 hours.

Answer:

4400miles

Step-by-step explanation:

1,100 divided by 2 = 550

and 550 times 8 is 4400

Answer:

11

Step-by-step explanation:

i think.............

Answer:

The attached picture shows the location of each of the coordinates on the Cartesian plane. Hence, (0, 1) is the coordinate that lies on the y- axis.

Step-by-step explanation:

The solution to the question above is answered thus:

Note that the first value in each bracket is for x while the other is for y. Hence; 0, 7, 6 and 8 are value of x while 1, 0, 8 and 2 are values of y.

Thus:

Coordinate (0, 1) lies on the y - axis.

Coordinate (7, 0) lies on the x - axis.

Coordinates (6, 8) and (8, 2) lie on the 1st quadrant of the Cartesian plane

Coordinates.

Therefore, coordinate (0, 1) is the answer because it lies on the y- axis.

The answer is (0,1)

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given here: The points  (0,1), (7,0), (6,8), (8,2)

For the point to lie on the y-axis its x-coordinate or abscissa must be zero

Only  (0,1) satisfies this.

Hence, The answer is (0,1)

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Answer:

a=9x

b=7

(9x-7)(9x+7)

Step-by-step explanation:

81x^2-49=(9x)^2 - 7^2=(9x-7)(9x+7)

Answer:

1: 9x

2: 7

3: (9x-7)(9x+7)

OR

1: 3rd option

2: 2nd option

3: 4th option

Step-by-step explanation:

got it right on Edge

have a great day!!!

PLZ  MARK BRAINLIEST

Answer:

D

Step-by-step explanation:

1. Find the rate of change of the graph. Which is 4.

2. Because 5 is greater of 4, Object B has the greater speed.

3. To find the factor you must divide 4 from 5.  5 ÷ 4

4. 5 ÷ 4 = 1.25

5. The correct answer is D

Answer:C)Object A by a factor of 1.25

Step-by-step explanation:this is the answer for USA test prep.

Answer:

1.5887 cm

Step-by-step explanation:

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) =  2.524

d = 1.5887 cm

The distance between the tip of the pointers (let's call it "d") using law of cosines is 1.5887 cm.

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) =  2.524

d = 1.5887 cm

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The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

Explanation:

The sketch is attached for the reference.

tan (10) = [tex]\frac{NE}{WE}[/tex]

[tex]0.176 = \frac{NE}{10} \\\\NE = 1.76[/tex]

tan (70) = [tex]\frac{NW}{WE} \\\\[/tex]

[tex]2.747 = \frac{NW}{10} \\\\NW = 27.47[/tex]

Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

$ 20

Step-by-step explanation:

Step 1:

Equation is given by C = 2D

Here D is equal to 10 miles

Variable C costs twice the distance traveled.

Step 2:

Here D= 10 Miles.

Hence, C= 2*10 = 20

Hence $20 will be the cost.

Answer:

that would be 57,946

Answer: 295.642 (Work is shown below in the image)

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

Given f(x) has zeros x = a, x = b, then

the factors are (x - a), (x - b) and the polynomial is the product of the factors.

Complex zeros occur as conjugate pairs, thus

5 + 4i is a zero then 5 - 4i is a zero

The zeros are x = 3, x = - 13, x = 5 + 4i, x = 5 - 4i, thus the factors are

(x - 3), (x - (- 13)), (x - (5 + 4i)), (x - (5 - 4i)), that is

(x - 3), (x + 13), (x - 5 - 4i), (x - 5 + 4i)

= (x - 3), (x + 13), ((x - 5) - 4i), ((x - 5) + 4i)

The polynomial is the product of the factors

f(x) = (x - 3)(x + 13)((x - 5) - 4i)((x - 5) + 4i) ← expand factors in pairs

     = (x² + 10x - 39)((x - 5)² - 16i²) → i² = - 1

     = (x² + 10x - 39)(x² - 10x + 25 + 16)

     = (x² + 10x - 39)(x² - 10x + 41) ← distribute

     = [tex]x^{4}[/tex] - 10x³ + 41x² + 10x³ - 100x² + 410x - 39x² + 390x - 1599 ← collect terms

     = [tex]x^{4}[/tex] - 98x² + 800x - 1599

Answer:

The third option

Step-by-step explanation:

Answer:

72 lbs

Step-by-step explanation:

t=tail h=head b=body

t = 9

h = t + .5b

b = h + t

Substitute

b = h + 9

h = 9 + .5b

h = 9 + .5h + 4.5

.5h = 13.5

h = 27

b = 36

TOTAL = t + h + b = 27 + 36 + 9 = 72

Answer:

4x^2 - x - 4.

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= 4x^2 - 3 - (x + 1)

=  4x^2 - 3 - x - 1

= 4x^2 - x - 4.

Answer:

Y-intercept: (0,6)

Multiplier: 3

Equation: y = 3x + 6

Answer:

104

Step-by-step explanation:

x+37=141

subtract 37 from both sides

 -37=141-37

x= 104

Step-by-step explanation:

x = First number

x + x + 37 = 141 (Because we know that the 2nd number is 37 more than the first, we can just say x + 37.)

2x + 37 = 141 (Combine like terms.)

2x = 104 (Subtract 37 from both sides.)

x = 52 (Divide 2 from both sides.)

Now we know that the first number is 52. Now we just add the 37 to 52 to find the second number.

37 + 52 = 89 = Second number

Proof: 52 + 89 = 141

Answer:

Since I don't know the number of students, I think the equation would be 1500=x*n, with x being the cost and n being the number of students.

Step-by-step explanation:

Final answer:

The equation that shows how the cost per student depends on the number of students is: Cost per student = Total cost / Number of students. For example, if there are 30 students, the cost per student would be $50.

Explanation:

The equation that shows how the cost per student depends on the number of students can be expressed as:

Cost per student = Total cost / Number of students

In this case, the total cost is $1500, so the equation becomes:

Cost per student = $1500 / Number of students

For example, if there are 30 students, the cost per student would be:

Cost per student = $1500 / 30 = $50

Answer:

$7,000

Step-by-step explanation:

1800 = 1450 + 0.05X

0.05X = 350

X = 7000

Answer:

7,000

Step-by-step explanation:

because 1450 x 5 is 7250

5 percent of 7250 is 7000

Hello There!

The answer to your problem is 10:5 or 2:1

How to get 10:5

To get 10:5 you divide a number that can go into 20 and 10 which is 2. You divide 20/2 and 10/2 and get 10:5.

How to get 2:1

To get 2:1 you divide a number that can go into 10 and 5 which is 5. You divide 10/5 and 5/5 and get 2:1.

Hope This Helps!

The equivalent ratio of 20 : 10 will be 40/20 or 40 : 20.

Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A statement expressing the equality of two ratios A:B and C:D is called a proportion. We can express proportion as -

A : B ∷ C : D

AND

A x D = B x C

Product of extremes equal to product of means.

Given is the ratio 20 : 10

The equivalent ratio of 20 : 10 will be -

20 : 10 = 20/10 = (20 x 2)/(10 x 2) = 40/20 = 40 : 20

Therefore, the equivalent ratio of 20 : 10 will be 40/20 or 40 : 20.

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Answer:

x= 0

Step-by-step explanation:

in order to find the value of x in the 2x - 4(x + 2) = -2X-8

we are going to apply bodmas rule by first opening the bracket

we have,

2x-4x-8 = 2x -8

we proceed to collect the like terms

2x -4x-2x = -8 +8

-4x = 0

divide both sides by -4

-4x/-4 = 0/-4

x= 0

y = 8

hope this helps :)

Answer: 1/9

Step-by-step explanation:

60 + 48 = 108 minutes

12 / 108 = 1/9

Step-by-step explanation:

answer it yourself

Answer:

[tex]f(x) = - (x + 2)(x + 1)(x - 3)[/tex]

Step-by-step explanation:

Let f(x) be the 3rd degree polynomial function.

The roots of this function are:

x=-2, x=-1 and x=3.

The factored form is:

[tex]f(x) = a(x + 2)(x + 1)(x - 3)[/tex]

This equation passes through (2,12)

This implies that;

[tex]a(2 + 2)(2+ 1)(2 - 3) = 12 \\ - 12a = 12 \\ a = - 1[/tex]

The polynomial function is

[tex]f(x) = - (x + 2)(x + 1)(x - 3)[/tex]

Answer:

( x - 4)

Step-by-step explanation:

x² + 2x - 24

From here, you must find the two factors of -24 (the first and third terms' coefficients multiplied together) that add up to 2 (the middle terms coefficient)

( x - 4) ( x + 6)

Other factor of x² + 2x - 24 is (x - 4).

Factors and multiples are two related concepts in math. A factor is a number that divides the given number exactly with 0 as the remainder.

Given expression

x² + 2x - 24 has factor (x + 6)

So, the expression should be divisible by (x + 6)

(x² + 2x - 24)/(x + 6)

It can be written as

(x² + 6x - 4x -24)/(x + 6)

Factoring out common factor

(x (x + 6) - 4 (x + 6))/(x + 6)

factoring out common factor

(x + 6)(x - 4)/(x + 6)

Simplifying

= (x - 4).

Hence, (x - 4) is other factor of x² + 2x - 24.

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Answer:

160 ft^2

Step-by-step explanation:

First you have to find the width, then you find the area. To find the width with a percentage we do Part/ Total = %/100  and we cross multiply. We need to find the part so that is the unknown, we will call it 'w' for width

w/20 = 40/100       Now we cross multiply, the x and the 100 and the 20 and 40

w * 100 = 100w

20 * 40 = 800

Now we have 100w = 800      The next step is to divide both sides by 100 so we just have w

100x/100= w

800/100 = 8

w = 8

The width is 8

Now we find the area which is length x width

20 x 8 = 160

So the area is 160 ft^2