Find the 58th term of the arithmetic sequence −28, −13, 2, …

Answer: B

in three ways we have;

Explanation:

We want to write the ratio of the situation in three ways, comparing the first quantity to the second quantity.

Given that;

A zoo has 17 monkeys and 12 chimpanzees

so, we want to compare the number of Monkeys to the number of Chimpanzees.

There are 17 Monkeys to 12 Chimpanzees.

Writing in other ways, we have;

and lastly in fraction;

Therefore, in three ways we have;

Answer:

The answer is given in the picture

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.

An octagon has 8 sides:

Part A.
interior angle = (8-2) x 180 /8

Interior angle = 135 degrees

Part B.
3x -57 = 135

Add 57 to both sides:

3x = 192

Divide both sides by 3:

X = 64

EXPLANATION

In this photo should be 5+5+1+1=12 people.

The answer is 12 people.

The probability that Ana is first in line or Bob is last in line is 0.200.

Since all outcomes are equally likely, the total number of possible outcomes is the same as the total number of permutations of the 20 kids in line, which is 20!.

To calculate the favorable outcomes, we can consider two cases:

Case 1: Ana is first in line: In this case, we fix Ana in the first position, and the remaining 19 kids can be arranged in 19! ways.

Case 2: Bob is last in line: In this case, we fix Bob in the last position, and the remaining 19 kids can be arranged in 19! ways.

Since we are interested in either Ana being first or Bob being last, we add the number of favorable outcomes from both cases.

So, the total number of favorable outcomes is 19! + 19! = 2 * 19!.

Therefore, the probability is (2 * 19!) / 20!, which simplifies to 2 / 20 = 0.100.

Rounding off to three decimal points, the probability is 0.200.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

0-7+ (19 + 5) = (-7 + 19) + 5

Step-by-step explanation

The associative property of addition states that how number of groups won't change the answer.

EX: 2 + (2 + 3) = (2 + 2) +3

In this example, both answers are equal to 7.

In the given problem, '0-7+ (19 + 5) = (-7 + 19) + 5' is the best choice because the order of the parenthesis is being changed, yet the answer is still the same.

I hope that this answers your question!

Answer:155.130435

Step-by-step explanation:

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

Answer:

A is the answer for the question

Answer:

He ate 1/12 of the pizza

Step-by-step explanation:

Divide the pizza by 4 to get the share each friend got

1/4

Then Binli ate 1/3 of his share

1/4 * 1/3 = 1/12

He ate 1/12 of the pizza

The solution for your question is-1/6

Answer:

- 1/6

Step-by-step explanation:

Use the following equation to calculate slope between two points:

( Y2 - Y1 ) / ( X2 - X1 )

What's Y2? Y1? X2? X1?

( -1, 6 )

-1 = X1

6 = Y1

( 5, 5 )

5 = X2

5 = Y2

So when we plug in those numbers:

5 - 6 = - 1

5 - (-1) = 6

- 1/6

Answer:

Step-by-step explanation:

Based on the given information, we can infer the following preferences of Ances regarding her basketball team's scores:

Ances likes when her team scores 341 points.

Ances does not like when her team scores 342 points.

Ances likes when her team scores 26 points.

Ances does not like when her team scores 34 points.

Ances likes when her team scores 53 points.

Ances does not like when her team scores 42 points.

These preferences suggest that Ances has specific preferences for certain scores and dislikes other scores. It could be based on personal associations, superstitions, or simply personal preference.

It's important to note that these preferences are subjective and may not have any rational or logical basis. They are specific to Ances' personal preferences and may not reflect the overall performance or significance of the scores in a basketball game.

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Answer:

The hypotenuse x = 4 units

Step-by-step explanation:

Given

Ф = 30°

Ф = 30° has opposite side = 2

To determine

The hypotenuse = x

Using the trigonometric ratio

sin Ф = opposoite / hypotenuse

substitute Ф = 30°, opposoite = 2, and hypotenuse = x

sin 30° = 2/x

x = 2/sin 30°

x = [2]/[1/2]              ∵  sin 30° = 1/2

x = [2 × 2] / 1

x = 4/1

x = 4

Therefore, the hypotenuse x = 4 units

Answer:

Step-by-step explanation:

Let "t' be the number of t-shirts bought.

Let "c" be the number of CDs bought.

Let b" be the total cost.

15t + 5c = b

We buy 10 t-shirts so t = 10.

We buy 25 CDs so c = 25.

We are trying to find b.

15t + 5c = b

15(10) + 5(25) = b

150 + 125 = b

275 = b

Best of Luck!

Answer:

Step-by-step explanation:

t-shirts for $15 = t

cd's for $5 = c

let tp = total profit

the algebraic expression would be:

15t + 5c = tp

-------------------------

evaluate the expression 15t + 5c = tp

for t = 10 and c = 25

plugin values into the formula:

15(10) + 5(25) = tp

tp = 150 + 125

tp = 275

therefore, the total profit is $275

The parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is \(\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Also, the point (17,–30,31) does not lie on the line.

for given question,

We need to find the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1)

Let \(\vec r_0= < 5,2,7 >\)

and

\(\vec v= < 8-5,-6-2,1-7 > \\\\\vec v= < 3,-8,-6 >\)

where vector v is the direction vector.

So, the equation of the line would be,

\(\vec r=\vec r_0+\lambda \vec v\\\\\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Now we need to determine whether the point (17, -30, 31) is on the line.

Let \(< 17,-30,31 > = < 5,2,7 > +\lambda < 3,-8,-6 >\)

For first component,

⇒ 17 = 5 + 3λ

⇒ 3λ = 12

⇒ λ = 4

For the second component,

⇒ -30 = 2 - 8λ

⇒ -8λ = -32

⇒ λ = 4

For third component,

⇒ 31 = 7 - 6λ

⇒ -6λ = 24

⇒ λ = -4

since the values of the λ are not consistent, the point (17,–30,31) does not lie on the line.

Therefore, the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is \(\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Also, the point (17,–30,31) does not lie on the line.

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Answer:

DE = 11

Step-by-step explanation:

DE = x + 7

EF = 7

DF = 4x + 2

DF = DE + EF (segment addition postulate)

Substitute

4x + 2 = x + 7 + 7

4x + 2 = x + 14

Collect like terms

4x - x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3

x = 4

✔️DE = x + 7

Plug in the value of x

DE = 4 + 7

DE = 11

Answer:

B:14

Step-by-step explanation:

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

Answer:

48 96 and 192

Step-by-step explanation:

you just have to multiply by two

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

The solution is where the two lines intersect so

(1, 3)

x= 1

y= 3

Step-by-step explanation:

Answer:

x+5≥13

Step-by-step explanation:

The correct answer is B) y - 20 = 12(x - 1). It matches the equation of the line Donovan drew, where the slope is 12 and the y-intercept is 20.

To determine the equation of the line Donovan drew, we need to find the slope and the y-intercept of the line.

Given information:

After 1 day, Donovan sold 20 copies (x = 1, y = 20).

After 2 days, Donovan sold 32 copies (x = 2, y = 32).

To find the slope of the line, we can use the formula:

slope (m) = (change in y) / (change in x).

Change in y = 32 - 20 = 12.

Change in x = 2 - 1 = 1.

Therefore, the slope (m) = 12/1 = 12.

Now, we can use the slope-intercept form of a linear equation (y = mx + b) to find the y-intercept (b).

Using the point (1, 20) on the line:

y = mx + b

20 = 12(1) + b

20 = 12 + b

b = 20 - 12

b = 8.

Therefore, the equation of the line Donovan drew is:

y = 12x + 8.

Comparing this equation to the answer choices:

A) Ay - 2 = 12(x - 1)

B) y - 20 = 12(x - 1)

C) y - 20 = 12(x - 2)

D) y - 32 = 12(x - 20)

We can see that the correct answer is B) y - 20 = 12(x - 1). It matches the equation of the line Donovan drew, where the slope is 12 and the y-intercept is 20.

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Answer:

1. C

2. C

Hope This Helps!!!

Answer:

3) 14ft

Step-by-step explanation:

2 plus 2 gives you 4. 5 plus 5 gives you 10. 4 plus 10 gives you 14. Therefore 14ft is your perimeter and the minimum amount of wood needed

A) 80

B)-60

C) 2

D) -54

Step-by-step explanation: