in example 11.3 (p. 270), when bob jumps on the cart, what kind of collision is this?

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

Answer: Your question is incomplete

But if the attached image is the complete question “whose sample is the most random”, then your answer is:

Luis’ sample.

Step-by-step explanation:

A random sample is one where each member is selected at random.

It is the kind of sampling where each member has an equal chance of being selected.

Samantha and Luis are trying to determine the number of library books that seventh graders check out. Their focus is;

1.) Seventh graders and

2.) Library books

Samantha surveys seventh graders leaving the library while Luis surveys seventh graders at random in the school cafeteria.

Samantha’s survey is more focused because each member of her sample was leaving the library meaning that they had handled books.

But Luis’ sample is more random because he takes his survey from all seventh graders (seventh graders in the cafeteria). With his random sampling, there is a high probability that each member never handled library books.

Answer:

A is 21!!

Step-by-step explanation:

Brainliest Please!

Answer: x=10 and angle RST is 75 degrees

Step-by-step explanation:

Answer:

x = 312

Step-by-step explanation:

We know that ∠ABD and ∠CBD are supplementary, meaning their measures add up to 180°. We can use this knowledge to put both measures into an equation.

[tex](0.18x+56) + (0.07x+46)= 180[/tex]

Simplify.

[tex]0.18x+56 + 0.07x+46= 180[/tex]

Simplify.

[tex]0.25x + 102 = 180[/tex]

Subtract 102.

[tex]0.25x = 180 - 102[/tex]

Simplify.

[tex]0.25x = 78[/tex]

Divide by 0.25

[tex]x = \frac{78}{0.25}[/tex]

Simplify.

[tex]x = 312[/tex]

Answer:

slope is 2

Step-by-step explanation:

Pick any two points

say point (0,0) and point (2, 4)

to find slope, subtract the x and y coordinates as a fraction.

y on the top, x on the bottom

y/x = (4 -0)/ (2-0) = 4/2 = 2

Answer:

B all real numbers greater than 0

Answer:

491,315.

Step-by-step explanation:

Population in 10 years = 340000(1.0375)^10

= 491,315.

Answer:

.8

Step-by-step explanation:

Answer:

The answer for x is ten

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Answer:

The awnser is C. but please know I may be wrong

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

The square root 196

√196 = 14

Thus, The answer is 14

-TheUnknownScientist

Answer:

x = 20

Step-by-step explanation:

The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90. So, 90+31 = 121 and 180-121 = 59. (3x-1) = 59. Solve for x. This would mean that x would be 20. 3*20 = 60 and 60-1 = 59. All the angles add together would get 180: 59+90+31.

Answer:

The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Step-by-step explanation:

9x² - 4x + 1 = 0     ax² + bx + c = 0

The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20

b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Answer:

Step-by-step explanation:

5. Give in the question.

6. AB/CB = BM/BP (Not sure about the rule, you can find it on textbook I guess)

7. CBA = PBM

8. Conclusion

Answer:

x = 5 units

Step-by-step explanation:

since it is an isosceles triangle, the perpendicular "x" bisects the base (24) into two units of 12.

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

Answer:

y=2x-2

Step-by-step explanation:

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

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Since the box box contains four equal-sized cards labeled 1 , 3, 5, and 7. The probability of selecting any number out of the four numbers will be 1/4 if they are selected once.

If Tim selects one card from the box, the probability that Tim will select a card labeled 3 will be: = 1/4

This is because 3 only occurs once and there are 4 numbers in total.

Answer:

b

Step-by-step explanation:

b

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]

Answer:

Answer in the image below \/

Step-by-step explanation:

Answer:

60.6°

Step-by-step explanation:

Using trigonometry :

Opposite = Height of shadow = 42 feets

Adjacent = height of flagpole = 23.7 feets

Tan θ = opposite / Adjacent

Tan θ = height of shadow / height of flagpole

Tan θ = 42 / 23.7

Tan θ = 1.7721518

θ = tan^-1(1.7721518)

θ = 60.56

θ = 60.6°

Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060