Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

Answer:

Nice

Step-by-step explanation:

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

Answer:

X = -27

Explain your answer:

Answer:

x = -28

Explanation

K12

Answer:

A. √150

Step-by-step explanation:

12² = 144

13² = 169

The only value of any of the options falling between 12 and 13 is √150

Answer:

Step-by-step explanation:

^ an = (-6) + (n-1)4

Answer:

Answer is D

Step-by-step explanation:

The equation for D is y = x · 4

X      | Y

1 · 4 = 4

2 · 4 = 8

3 · 4 = 12

So Y varies directly with x in table D

The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .

Quadratic sequences are sequences that include  [tex]nth[/tex]  term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.

Quadratic sequence [tex]=an^2+bn+c[/tex]

Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.

First difference [tex]= 3a+b[/tex]

Second difference [tex]=2a[/tex]

We have,

Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]

Quadratic sequence [tex]=an^2+bn+c[/tex]

so,

For [tex]n=1[/tex];

[tex]8=an^2+bn+c[/tex]

[tex]8=a+b+c[/tex]   [tex]........(i)[/tex]

For [tex]n=2[/tex];

[tex]16=4a+2b+c[/tex]    [tex]........(ii)[/tex]

For [tex]n=3[/tex];

[tex]26=9a+3b+c[/tex]    [tex]........(iii)[/tex]

Now,

Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]

we get,

[tex]8=3a+b[/tex]    [tex]........(iv)[/tex]

Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,

[tex]10=5a+b[/tex]    [tex]........(v)[/tex]

Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,

[tex]2=2a[/tex]  (This is second difference mentioned above)

[tex]a=1[/tex]

Putting [tex]a=1[/tex]  in [tex](iv)[/tex]

⇒[tex]b=5[/tex]

Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]

[tex]8=1+5+c[/tex]

[tex]c=2[/tex]

Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,

Quadratic sequence [tex]=an^2+bn+c[/tex]

we get,

[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]

Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].

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Answer:

y = -3/4x + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.

With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:

[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]

The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.

[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]

I use cross multiplication here:

[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]

Answer:

= 7.25

Conversion a mixed number 4 3/

4

to a improper fraction: 4 3/4 = 4 3/

4

= 4 · 4 + 3/

4

= 16 + 3/

4

= 19/

4

To find a new numerator:

a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/

4

= 16/

4

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 4.

Four and three quarters is nineteen quarters

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Add: 19/

4

+ 5/

2

= 19/

4

+ 5 · 2/

2 · 2

= 19/

4

+ 10/

4

= 19 + 10/

4

= 29/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 2) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - nineteen quarters plus five halfs = twenty-nine quarters.

Step-by-step explanation:

Answer:

you can write it in exact form which is 9/4 or decimal form which is 2.25 or mixed number form 2 1/4

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8

Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:

26 = 1.4r + 8

26 - 8 = 1.4r

18 = 1.4r

18 / 1.4 = r

12.85 = r

Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.

Quick math check:

1.4(12) + 8 = $24.8 which is less then $26.

I hope this helps! :)

Answer:

Rate of DOING WORK is called power

Answer:

6 pounds

Step-by-step explanation:

3$ for 2 pounds

9$ has three 3$

9 ÷ 3 = 3

Then multiply it to 2 pounds.

3 x 2 = 6

That's how we get the 6 pounds.

Answer:

x=62, y=62

Step-by-step explanation:

the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72

by alternate interior angles, y=angle 2 and angle2=x so x=72

Answer:

38.64

Step-by-step explanation:

If 3 = 12.88

Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44

so 25.76+6.44+6.44=38.64

Therefore it would be 38.64.

I'm not sure but base on the math above I think the answer is 38.64

Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

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Answer:

[tex] \frac{32}{40} \times 100[/tex]

[tex] \frac{32}{4} \times 10[/tex]

[tex]8 \times 10[/tex]

[tex]80[/tex]

80 is the answer

Answer:

(32/40×100%)= x

(32/ 40 ) × 100 = x

0.8 × 100 = x

x = 80

(32/40×100%)= 80

Answer:

Step-by-step explanation:

Given:

Amount after 8 years:

Rate of interest=r=0.05

So

Amount

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

Hello there!

7 14/18 is the mixed number that has not been reduced to simplest form.

We can divide the numerator and denominator by 2 to reduce the fraction:

7 7/9

The answer is Option A. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Answer:

Positive i s the correct answer.

I hope it will work out

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

Answer:

x=5-y

Step-by-step explanation: