Find the 98th term of the arithmetic sequence 8, 24, 40?​

Answer:

To factor any expression, find the greatest common factor that all of the terms share. In this case, we have: 4p^2, 5pq, and -6pq^2.

We see that the only common factor they share is "p".

So, we take out p to get: p(4p+5q-6q^2), which is our answer, since this can't be simplified further.

Let me know if this helps!

Answer:

4p²+5pq-6pq²

taking common

p(4p+5q-6q²)

Answer:

The height is equal to 10.

Step-by-step explanation:

With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).

To find the volume of an isosceles trapezoid, you need to use the formula  [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex].

So, to find [tex]h_{1}[/tex], which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.

The equation would be:  [tex]7^{2} +h^{2} =25^{2}[/tex]. If you do that math, you get [tex]49+h^{2} =625[/tex] after simplifying. Now you bring the 49 to the other side and subtract, leaving you with [tex]h^{2} =576[/tex]. Now you have to square root both sides, and you should end up with h=24.  

Now that we know the height, we can substitute it:  [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex] =5520 turns into

Answer:

8 miles

Step-by-step explanation:

24 miles/6 hours = 4 miles per hour

4 miles per hour x 2 hours = 8 miles

Answer:

8 miles

Step-by-step explanation:

24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

Answer:

175-119= 56

Step-by-step explanation:

because 68%of 175 = 119

so she has washed 119 and 56 are left

Answer:

B and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

b!

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

Answer:

35/(7/8)=

35*8/7=40 store B

40-35=$5 Saved

Step-by-step explanation:

Hope this helps :D

first what quantities do we need to talk about?

the problem speaks of “a number”, let’s call that number x.

now write the equation that relates x to the other numbers we know.

the first clue is the word “difference”.

this means “subtraction”, but we need to subtract something from something else.

what are the two somethings? ”a number times 7” and “4”.

so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?

it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9

i assume that you know how to solve this for x.

so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13

7x = 13

7/7 = 13/7

x=  13/7

Answer:

She can use 4GB of data

You keep on adding five dollars on top of 50 until you reach 70.

Answer:

11.75, 2.9375

12, 3

12.48, 3.12

Step-by-step explanation:

First, let's go over what they want us to do.

Boring but brief history lesson of geometry:

In the beginning of the history of geometry and circles, mathematicians would find the approximate circumference of circles by drawing polygons inside of circles and finding the perimeter of that polygon. In other words, the approximate circumference of the circle about the perimeter of the shape. The more side lengths there are, the smaller each side is, and the closer the perimeter is to the actual circumference (more on this later)

Problem 1:

The pentagon has a side length of 2.35, so the perimeter is 5 * 2.35 = 11.75

Thus, the approximate circumference is 11.75.

The diameter of a circle is r * 2, or 4, so the ratio of the circumference to the diameter is 11.75 / 4, or 2.9375

Problem 2:

The hexagon has a side length of 2, so the perimeter is 6 * 2 = 12. Thus, the approximate circumference is 12.

The ratio of the circumference to the diameter is 12 / 4, or 3.

Problem 3:

The dodecagon (12 sided shape) has a side length of 1.04, so the perimeter is 12 * 1.04 = 12.48.

The ratio of the circumference to the diameter is 12.48 / 4 = 3.12

Although we are done, let's ~circle~ back (sorry for the pun) to the idea that this exercise is trying to tell us.

The circumference of a circle is 2πr (which is also equal to the diameter times pi). So in this example, the circumference should be 2 * π * 2, or 4π. π is approximately 3.14159, so 4π is about 12.56636. And the ratio of this to the diameter (which is 4) is, if you look at how we got 4π, should be π no matter what.

Note: the definition of π is the ratio of a circles circumference to its diameter, so this makes sense.

Do you see how the approximate circumferences are slowly getting closer to the actual circumference of 12.56?:      11.75, 12, and 12.48

Look at the progression of approximate circumferences / diameter:  2.9375, 3, 3.12. These are slowly getting closer to π (3.14)

As you can see, the more sides, and the more "circular" the shape becomes, the closer the polygon/approximate circumference is to an actual circle.

I hope this helps! Feel free to ask any questions! :)

Answer:

Step-by-step explanation:

x is the supplement of 133

x + 133 = 180

x + 133 - 133 = 180 - 133

x = 47

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

it's 2800

Step-by-step explanation:

2×2×2×2×5×5×7

The total number of stickers Grace gives to Huiling for an equal number of stickers is 212 stickers.

What information do we have?

Number of sticker Grace have = 634

Number of sticker Huiling have = 210

Difference of stickers = 634 - 210

Difference of stickers = 424

Number of stickers Grace gives to Huiling = 424 / 2

Number of stickers Grace give to Huiling = 212 stickers

Find out more information about 'Number of stickers'

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Answer:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself

Answer:

(8x - 3)(x + 2)

Step-by-step explanation:

A factorization must have a result equals to the original expression.

In this question:

For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.

(8x - 3)(x + 2)

8x² + 16x - 3x - 6 = 8x² + 13 - 6

Equal, so this is the factorization.

(x-6)(8x + 1)

8x² + x - 48x - 6 = 8x² - 47x - 6

Different

(2x - 2)(4x + 3)

8x² + 6x - 8x - 6 = 8x² - 2x - 6

Different

(4x - 1)(2x + 6)

8x² + 24x - 2x - 6 = 8x² + 22x - 6

Different

Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

Factorization simply means to write an algebraic expression as products of two factors.

Given the algebraic expression:

8x² + 13x - 6

Factorize as follows:

8x² + 16x - 3x - 6

(8x² + 16x) - (3x - 6)

8x(x + 2) -3(x + 2)

(8x−3)(x+2)

Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

Learn more about factorization on:

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Answer:

Step-by-step explanation:

The interest amount in one year:

Interest rate:

Answer:

Step-by-step explanation:

1). y = -4 is a line parallel to x-axis with y-intercept of -4.

   We can draw a line on the graph as attached.

2). Given line 'f' in the graph is parallel to the y-axis and passing through x = 7.

   Since, slope of y-axis or any line parallel to y-axis is not defined

   Slope of line 'f' is undefined.

Answer: 360

Step-by-step explanation:

Question: Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70

loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday.

so since he made 340 loaves of bread on monday and 70 less on sunday and 90 more on saturday 340-70 is 270 so he made 270 loaves on sunday and 270+90=360 so he made 360 loaves on saturday. plz mark me brainliest

Answer:

exponential. not linear functions because they change by equal differences not intervals.

Answer:

1 is the answer I am expecting and 2x-1 also we can write but ask for your teacher ok my friend

Answer:

A, C, and D are the exponential functions that have been simplified correctly