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Answer:

4i + 9 < simplified version

Step-by-step explanation:

3 + 5i + 6 - i =

4i + 9

Answer:

b c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If the standard deviation for the original serving is .2, and they doubled the size, then the deviation would become .4. Then you multiply that by the ten servings to make 4.

Answer:

X = 20 minutes .

Step-by-step explanation:

One word:  4/140 = 1/35 minute .

700 words: X = 700x1/35 = 20 minutes .

(Multiplication)

Answer:

30+(-46)= -16

-45+(-25)= -70

Step-by-step explanation:

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer: =0

Step-by-step explanation:

(10 - 3*3) - 1

(10 - 9) - 1

1-1

=0

The model for the relationship between the number of $0.20 price decrease, x, to the amount of money earned, E, is presented by the following equation;

Please find attached the values of the model in the attached table and graph of the model.

Let x represent the number of $0.20 price decrease and let E represent the total amount earned (the revenue), we have the following revenue equation;

However;

When the number of cars washed = (450 + 50•x)

The price to wash one car = (5 - 0.2•x)

Therefore;

Which gives the following equation;

Please find the attached table and graph created using the above equation for the amount earned per year.

From the graph, the maximum amount is earned when the price is reduced by $0.20, eight times to give;

Optimum price = 5 - 0.2×8 = 3.4

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Answer:

The answer would be x by 2 over the squared number.

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1 [/tex]

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

Answer:

16

Step-by-step explanation:

n=4

subset=2^n

=2^4

=16

Answer:

<4 = 81

Step-by-step explanation:

we know that all the interior angles of a triangle will equal 180

so <1 + <2 + <3 = 180

we know that <4 is the exterior angle to <3

the exterior angle is equal to the angles opposite to its interior

<3 is the interior angle to <4

<1 and <2 are the angles opposite to <3

so <4 = <1 + <2

<4 = 42 + 39

<4 = 81

Answer:

$78.01

Step-by-step explanation:

solve the equation 56(1+.037÷4)^4×9

ends up being 56(1.00925)^36

56(1.3930133899)

=78.0087

The total value of the annuity in 9 years is: $78.00

We have the following information available from the question is:

He buys an annuity with a quarterly payment of $56 that pays 3.7 interest, compounded quarterly.

Payments will be made at the end of each quarter.

We have to find the total value of the annuity in 9 years.

Now, According to the question:

The total value of the annuity in 9 years :

The equation will be :

[tex]= > 56(1+ \frac{3.7}{4} )^4^(^9^)[/tex]

=>56(1.3930)

=$78.00

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Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:  The unite rate is    $3  per pack.

Step-by-step explanation:

The unit rate will the the cost of one pack of donuts.

If 6 packs is equal to $18 dollars, then to find the unit rate we will divide 18 by 6.

18/6 = 3

This means  one pack of of donut will cost $3.

Answer:

.67 secounds

Step-by-step explanation:20/3

Answer:

C D E or 345

Step-by-step explanation:

Answer:

CDE

Step-by-step explanation:

Answer:

the answer is A substitution

Answer:

791

Step-by-step explanation:

Prime number is a number that is divisible only by itself and 1 .

prime numbers less than 80

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

therefore,

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

=791

Answer:

791.

prime numbers less than 80 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

sum of these numbers are

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

= 791

Answer:

no picture?

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

let ,x% is birds of prey

total animals=110

birds of prey=66

then,

x%of 110=66

x/100×110=66

110x/100=66

1.1x=66

x=66/1.1

x=60%

I'm not sure if this is correct.

Answer:

The answer is 56 square feet. Don't forget the square or else the answer is invalid :). good luck

Step-by-step explanation:

1.

[tex] \frac{10}{2 {ab}^{2} } \times \frac{ {a}^{2} {b}^{2}}{5}[/tex]

[tex] = \frac{5}{2a {b}^{2} } \times {a}^{2} {b}^{2} [/tex]

[tex] = \frac{5}{2a} \times {a}^{2} [/tex]

[tex] = \frac{5 {a}^{2} }{2a} [/tex]

Answer:

y = [tex]-\frac{5}{2}[/tex]x - 1

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

y = [tex]-\frac{5}{2}[/tex]x + 6

y = mx + b

4 = [tex]-\frac{5}{2}[/tex] ( -2 ) + b

4 = 5 + b

b = -1

y = [tex]-\frac{5}{2}[/tex]x - 1

Given that,

A group of workers can plant 2/5 acres in 7/8 days.

To find,

The unit rate in acres/day.

Solution,

To find unit rate, divide acres and days as follows:

[tex]R=\dfrac{\dfrac{2}{5}}{\dfrac{7}{8}}\ \text{acres/days}\\\\=\dfrac{2}{5}\times \dfrac{8}{7}\\\\=0.45\ \text{acres/days}[/tex]

So, the unit rate is 0.45 acres/days.

Answer:

Step-by-step explanation:

If you have a calculator just put 6 / 12, and you will get your answer

If you don't have a calculator, do long division or you can simplify the fraction. Ex: 6/12 = 3/6 = 1/2; 1/2 = 0.5

Answer:

0.5

Step-by-step explanation:

You can reduce it to 1/2 which is equivalent to 50% or 0.5

The coordinates of X¹ will be (6,-2), if the rectangle was rotated 90° clockwise about the origin.

Given that, rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2) respectively. We have to calculate the coordinates of X¹ when the rectangle was rotated 90° clockwise about the origin.

Rotation generally helps us to align the figures in the direction along with a fixed point. To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). So, (y,-x) will be the rotation of the coordinates about 90° clockwise about the point.

So, we have to calculate the coordinate after rotation of X(2, 6). Let's suppose after rotation X changes to X¹ then, we have

X(2, 6)→X¹(6,-2) when the rectangle was rotated 90° clockwise about the origin.

Therefore, (6,-2) is the required answer.

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Answer:

8

Step-by-step explanation:

The distance between 6 and -2 is 8

(draw a number line and from 6 to -2 is 8 steps)