I have a 100 question study guide it is worht 20 points in total how many points is it

13.23  miles

Step-by-step explanation:

The vector creates an inverted right-angled triangle. The westbound car will have covered 20 miles while the southbound car will ahve covered 15 miles in 30 mins;

40 miles /hr * ½ hr = 20 miles

30 miles/ hr * ½ hr = 15 miles

To find the hypotenuse (distance between the two cars), we shall use the formulae;

a² + b² = c²

20² + 15² = c²

c² = 20² – 15²

c² =  175

c = 13.23

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1. Let x represent the missing angle.

The sum of angles in a triangle is 180°

65° + 57° +x =180

122° +x=180°

x=180-122

x=68°

2. Let y represent the missing angle.

Then

y+90°+40°=180°

y+130°=180°

y=180°-130°

y=50°

3. Let the missing angle be t, then

t+20°+130°=180°

t+150° =180°

t=180°-150°

t=30°

4. Let the missing angle be m, then

m+85°+50°=180°

m=180°-50°-85°

m=180-135°

m=45°

5. Let the missing angle be e, then by the exterior remote angle theorem:

137°=102° +e

137-102=e

e=35°

6. Let the unknown angle p, be the missing angle.

Then by vertical angle property and exterior angle property:

p=35° +100°

p=135°

7. Let g be the missing angle, then

g+20°+30°=180°

g+50°=180°

g=180°-50°

g=130°

8)

Let v be the missing angle:

By angle on straight line, and exterior angle theorem property,

g=(180-155)+60°

g=25°+60°

g=85°

Answer:

x=90

Step-by-step explanation:

x/5=72/4

simplify 72/4 into 18

x/5=18

x=18*5

x=90

The reciprocal of x/5=72/4 is 5/x = 4/72.

Given,

Which of the following uses the reciprocal property to rewrite x/5 = 72/4?

A. 5/x = 4/72

B. x/4 = 5/72

C. x/5 = 72/4

We denote the reciprocal of a number M by 1/M.

Example: 1, 1/2, 2/3,

The reciprocal is:

1 = 1/1 = 1

1/2 = 1/(1/2) = 2

2/3 = 1/(2/3) = 3/2

We have,

x/5 = 72/4

If we apply reciprocal property here we get,

1/(x/5) = 1/(72/4)

5/x = 4/72

Thus the reciprocal of x/5=72/4 is 5/x = 4/72.

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Answer:

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

S'ₙ =2.52

Step-by-step explanation:

sum of this sequence: Sₙ = A₁ x (1 - pⁿ) / (1 - p)

Sₙ: sum of n terms

A₁: initial value 6

p: common ratio 2

n: terms 10

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

Is there any mistake in the 2nd question - about the common ratio (-1/2)?

S'ₙ =1 + (-1/2) + 1 x (1 - (1/2)¹⁸)) / (1 - (1/2)) = 1/2 + 2 x  (1 - (1/2)¹⁸)

S'ₙ = 1/2 + 2 x (1 - 1/262144) = 1/2 + 262143/130072= 0.5 +2.02 = 2.52

The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²

Step-by-step explanation:

Let us revise the vertical stretch and the horizontal translation

∵ f(x) = x²

∵ f(x) is multiplied by 3

- 3 is greater than 1, then the graph of f(x) is stretched vertically

  by scale factor 3

∴ The graph of f(x) is stretched vertically by scale factor 3

∵ x² is changed to (x - 2)²

- That means the graph of f(x) translated 2 units to the right

∴ The graph of f(x) is translated 2 units to the right

The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²

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Answer:

       36

100x

Step-by-step explanation:

Answer: I believe 1036 ur welcome :)

D. Determine if the relations’ graph forms a line.

Step-by-step explanation:

A function is a relation if the input values lead to only one output value.The input values, normally x values make up the domain, where as the output values form the domain.A function is a relation where the input values are associated with a single output.The vertical test is used to determine if a curve is a function.The line graph should only hit a single point on the curve.

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Answer:

40 min

Step-by-step explanation:

1 x 48 + .20 .48

(1.20) (48)=  40 min

Answer:

The range of people who voted for other person = 7266 to 7872

Step-by-step explanation:

A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.

We get the percentage from this ,

Percentage = [tex]\frac{87}{114} \times 100[/tex] = 76.3 %

Border percentages = 72.3 and 80.3% (Since error = 4%)

We have already taken vote of 114 people so remaining = 9804

Lower end = 0.723 [tex]\times[/tex] 9804 =  7266

Upper end = 0.803[tex]\times[/tex] 9804 = 7872

Hence the range = 7266 to 7872

Answer:

Measure of Angle 5 = 150 degree.

Step-by-step explanation:

Given line g and h are parallel lines.

Let angle measuring [tex]30\ degree[/tex] be a.

From figure we can see that [tex]\angle a\ and\ \angle 3[/tex] both are Linear Pair Postulate,

i.e. [tex]\angle\ a+\angle 3 =180\ degree[/tex]

So,

[tex]30\ degree +\angle 3 =180\ degree[/tex]

[tex]\angle 3 = 180-30[/tex]

[tex]\Therefore \angle 3=150\ degree[/tex]   ------------(equation 1)

Now, [tex]\angle\ a\ and\ \angle\ 4[/tex] are alternate interior angles, and alternate interior angles are equal.

i.e. [tex]\angle\ a = \angle 4[/tex]

Therefore  [tex]\angle\ 4 =30\ degree[/tex]  ------------(equation 2)

Now, [tex]\angle 4\ and\ \angle 7[/tex] both are Linear Pair Postulate,

i.e. [tex]\angle\ 4 +\angle\ 7 = 180\ degree[/tex]

[tex]30+\angle\ 7=180[/tex]    ------------------(from equation 2)

[tex]\angle\ 7 =180-30[/tex]

[tex]\therefore\ \angle\ 7 = 150\ degree[/tex] ---------(equation 3)

Now,  [tex]\angle\ 7\ and \angle\ 5[/tex] are vertically opposite angles, and vertically opposite angles are equal.

So,

[tex]\angle 7=\angle 5[/tex]

[tex]\therefore\ \angle 5=150\ \ degree[/tex] -----------------(from equation 3)

Answer:

Step-by-step explanation:

A = L * W

A = 99

L = 2w + 7

now we sub

99 = (2w + 7)(w)

99 = 2w^2 + 7w

2w^2 + 7w - 99 = 0

(2w - 11)(w + 9) = 0

2w - 11 = 0

2w = 11

w = 11/2

w = 5 1/2 ft (or 5.5 ft) <==== width is 5 1/2 ft)

L = 2w + 7

L = 2(5.5) + 7

L = 11 + 7

L = 18 ft <====== length is 18 ft

Answer:

y = -2x + 3

Step-by-step explanation:

4x + 2y - 6 = 0

2y - 6 = -4x

2y = -4x + 6

y = -2x + 3

Answer:

The slope-intercept form is,

y = -2x + 3

Step-by-step explanation:

The given equation of the line is,

4x + 2y  - 6 = 0

Subtracting "(4x- 6)" from both sides of the above equation, we get

   4x + 2y - 6 - (4x - 6) = 0 - (4x - 6)

⇒ 4x + 2y - 6 - 4x + 6 = 0 - 4x + 6

⇒ 2y = -4x + 6

Now, dividing both sides by '2' of the above equation, we get

 2y ÷ 2 = (-4x + 6) ÷ 2

⇒y = -2x + 3

This is the required slope-intercept form of the given line.

Answer: 21

Step-by-step explanation:

9  + 10 = 21

The expression simplifies to 81 over 16 by applying the exponent rules, particularly recognizing that any number to the power of 0 is 1 and when raising a power to a power, we multiply the exponents.

The student's question is asking to simplify the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared. To simplify this expression, we should apply the exponent rules.

Let's simplify step-by-step:

First, recognize that any number raised to the power of 0 is 1.

The expression now  simplifies to square of three, since anything multiplied by 1 remains unchanged.

Now, take the entire expression over 4 and square it as indicated.

Thus, the correct answer is 3 to the power of 4 multiplied by 1 squared over 4 squared equals 81 over 16.

Answer:

(20-10)/(4-2)= 10/2= 5 miles/day

The unit rate in this case is the miles travelled per day.

2 days = 10 miles

1 day = 5 miles

answer: 5 miles/day

Answer:

B) 6 times

Step-by-step explanation:

54/9=6

Answer:

59°

Step-by-step explanation:

Since the triangle is isosceles then the base angles are congruent.

Subtract the vertex angle from 180° and divide the result by 2, that is

base angle = [tex]\frac{180-62}{2}[/tex] = 59°

Answer:

Step-by-step explanation:

A 45-45-90 right triangle is formed when a square is cut in half diagonally. This forms two such right triangles, where the sides are in a specific ratio, with the length of the hypotenuse being root 2 times the length of each leg.

A 45-45-90 right triangle is formed when a square is cut in half. This is because when you draw a diagonal on a square, the angles it forms with the sides are all 45 degrees, and the angles at the vertices remain 90 degrees. Therefore, it forms two 45-45-90 right triangles.

In a 45-45-90 triangle, the sides are in a specific ratio. The length of the hypotenuse is root 2 times the length of each leg, which are equal in measure because it is an isosceles triangle. These properties are unique to 45-45-90 right triangles.

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No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability  

∵ P(A) = [tex]\frac{3}{14}[/tex]

∵ P(B) = [tex]\frac{1}{5}[/tex]

∴ P(A) . P(B) = [tex]\frac{3}{14}[/tex] × [tex]\frac{1}{5}[/tex]

∴ P(A) . P(B) = [tex]\frac{3(1)}{14(5)}[/tex]

∴ P(A) . P(B) = [tex]\frac{3}{70}[/tex]

∵ P(A and B) = [tex]\frac{3}{65}[/tex]

∵ P(A) . P(B) = [tex]\frac{3}{70}[/tex]

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

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Events A and B are not independent.

The events A and B are independent given that P(A) = 3/14, P(B) = 1/5, and P(A AND B) = 3/65. To determine if two events are independent, the product of their individual probabilities, P(A) and P(B), should equal the probability of both events occurring together, P(A and B).

Let's calculate this:

P(A) × P(B) = (3/14) × (1/5) = 3/70

Since P(A AND B) = 3/65, we compare it to the calculated product of P(A)P(B).

P(A AND B) is not equal to P(A)P(B). Therefore, events A and B are not independent because their joint probability is not the product of their individual probabilities.

Answer:

Step-by-step explanation:

39 cars every 3 hrs.......that means (39/3) = 13 cars every hr

and if its 13 cars every hr....in 7 hrs, there will be (7 * 13) = 91 cars <==

you can either do it that way....the unit rate way...OR

you can set it up as a proportion...

39 cars to 3 hrs = x cars to 7 hrs...

39 / 3 = x / 7....cross multiply

(3)(x)= (39)(7)

3x = 273

x = 273/3

x = 91 <====

either way, u get the correct answer

Answer:

1 1/9  (10/9) meter

Step-by-step explanation:

area of rectangle = width x length

2/3 m² = 3/5 m x Length

Length = (2/3) / (3/5) = 10/9 = 1 1/9

Answer:

10/9

Step-by-step explanation:

Answer: Karen's weight = 125 pounds

Step-by-step explanation:

Let Karen's weight be x , this means that John's weight is 3x.

Two times John’s weight = 2(3x)

Two times John’s weight plus Karen’s weight is 875 pounds implies;

2(3x) + x = 875

6x + x = 875

7x = 875

divide through by 7

x = 125

Therefore Karen's weight = 125 pounds

John's weight = 3 x 125 = 375 pounds

Answer:

John weighs 375 pounds, and Karen weighs 125 pounds.

Step-by-step explanation:

The best way to solve this question is to assign the weights to variables.

Let's give variable j to John's weight and k to Karen's.

If John weighs 3 times as much as Karen, j=3k.

If 2x John's weight plus 1x Karen's weight = 875, then 2j + k = 875,

which can also be written as 6k + k = 875 since we established that j=3k and 2*3=6.

Now all we need to do to find k is solve the equation:

6k + k = 875  combine common factors

7k = 875 divide both sides by 7

k = 875/7

k = 125

Now that we know Karen's weight, we can find John's weight by using j=3k.

Plug the now known value of k in:

j=3k

j=3(125)

j=375

Now you have your pair:

j=375, k = 125.

Answer:

there are 8 pigs because each pig has 4 legs. meanwhile, ducks technically by definition, only have 2 legs,wings do not count as legs.

Step-by-step explanation:

so 1 pig=4 legs.

8 pigs =32 legs

so 32+2x=36

To solve the problem, set up a system of equations using the number of pigs and ducks. Solve the system of equations to find the values of 'p' and 'd'. There are 8 pigs and 2 ducks in the farmhouse.

Let's assume the number of pigs is 'p' and the number of ducks is 'd'. Since each pig has 4 legs and each duck has 2 legs, we can set up the equation: 4p + 2d = 36 (since there are 36 legs in total). We also know that there are 10 animals in total, so we can set up another equation: p + d = 10. Now we have a system of equations which we can solve to find the values of 'p' and 'd'.

Multiplying the second equation by 2, we get 2p + 2d = 20. Subtracting this equation from the first equation, we get 4p + 2d - (2p + 2d) = 36 - 20, which simplifies to 2p = 16. Dividing both sides of the equation by 2, we find that p = 8. Substituting this value back into the second equation, we get 8 + d = 10, which means d = 2.

Therefore, there are 8 pigs and 2 ducks in the farmhouse.

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Answer:

[tex] {x}^{2} + 2x - 15[/tex]

Step-by-step explanation:

[tex]x(x + 5) - 3(x + 5) \\ = \times {x}^{2} + 5x - 3x - 15 \\ = {x}^{2} + 2x - 15[/tex]

Final answer:

To expand and simplify (x - 3)(x + 5), we use the FOIL method, resulting in [tex]x^2 + 5x - 3x - 15[/tex]. Combining like terms, we get the simplified form [tex]x^2 + 2x - 15.[/tex]

Explanation:

To expand and simplify the expression (x - 3)(x + 5), we use the distributive property, also known as the FOIL method, which stands for First, Outer, Inner, and Last. This refers to the terms you multiply together in a binomial multiplication:

First: Multiply the first terms in each binomial: x* x = [tex]x^2[/tex]

Outer: Multiply the outer terms in the binomials: x *5 = 5x

Inner: Multiply the inner terms in the binomials: -3 * x = -3x

Last: Multiply the last terms in each binomial: -3 * 5 = -15

Combining these products gives us: [tex]x^2 + 5x - 3x - 15.[/tex] We then combine like terms, which in this case are 5x and -3x:

[tex]x^2 + 2x - 15.[/tex]

So, the expanded and simplified form of (x - 3)(x + 5) is [tex]x^2 + 2x - 15.[/tex]

Answer:

3/5 0r 0.6

Step-by-step explanation:

A mod B = R

3/5 mod 6, because 3/5 < 6

so (3/5) / 6 = 0 ... R 3/5

Answer:

156.63 Square feet

Step-by-step explanation:

Final answer:

The area of a bedroom that is 13.62 feet by 11.5 feet is 156.63 square feet, found by multiplying the length by the width.

Explanation:

The most accurate measure of the area of a bedroom that measures 13.62 feet long and 11.5 feet wide is calculated by multiplying the length by the width. The formula for the area of a rectangle is:

Area = length × width

Thus, the area is:

Area = 13.62 feet × 11.5 feet = 156.63 square feet

This calculation ensures that you have the most accurate measure of the square footage necessary, for example, if you are planning to replace the carpet or perform other renovations that require an accurate measure of the room's floor space.

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.

The equation is [tex]b=\frac{2A}{h}[/tex]

Step-by-step explanation:

Let us revise how to make a variable subject of an equation

∵ A = [tex]\frac{1}{2}[/tex] × b × h

∵ b is the subject

∴ Multiply the two sides by 2

∴ 2A = b × h

- Divide both sides by h

∴ [tex]\frac{2A}{h}= b[/tex]

- Switch the two sides

∴ [tex]b=\frac{2A}{h}[/tex]

The equation is [tex]b=\frac{2A}{h}[/tex]

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Answer:

a, Prospecting cover letter

Step-by-step explanation:

Given:

Dear Ms. Meyer:

Laura Yin suggested I contact you concerning the Marketing position available at Eastern Arbor. I am inspired to  pursue my marketing interests at Eastern Arbor due to its reputation as a prestigious, innovative and growing  company in liability policies.

From the given data;

We can say that it is an E-mail which has been sent to Ms. Meyer regarding the Job opening of Marketing position available at Eastern Arbor.

It was been suggested by Laura Yin to the writing person that there is a Job opening at Eastern Arbor.

The writing person has a marketing interest which he wanted to pursue at Eastern Arbor as it is a reputed company with prestigious, innovative and growing  company in liability policies.

A Prospecting cover letters are introductory in nature. Rather than focusing on your skills and experiences that are related to a job listing (since there is no job listing), a letter of interest should highlight your marketable qualifications and skills that would be easily transferable between a number of positions.

Hence we can say that it is an Prospecting Cover letter.

Answer:

Your answer is A! Prospecting cover letter

Step-by-step explanation:

did the test