Write -7i as complex number

Answer:

151200 cm³

Step-by-step explanation:

volume = (area of base) × (height of prism)

volume = bh/2 × H

volume = (32 cm)(63 cm)/2 × 150 cm

volume = 151200 cm³

[tex]\frac{2}{1}[/tex]Answer: A.

Step-by-step explanation:

The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.

Answer:

y = x^3 - 3x^2 - 22x +24

Step-by-step explanation:

I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.

Hope this helps :)

Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)

I realized I can't post the link, but that's the name of it

[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]

Answer:

(x - 10)(x + 7).

Step-by-step explanation:

This is a quadratic expression  and the factors are of the form (x + a)(x + b).

We have x^2 - 3x - 70.

- to find the values of a and b  in this expression we need 2 numbers whose product is -70 and whose sum is -3.

They are -10 and +7 , so the factors are:

(x - 10)(x + 7).

z = 7, z = -7

z² = 49

Take the square root of both sides to find what z equals

z = 7

Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.

7, -7

hope helpful ~

Answer:

slope: 5

y-intercept: -4

Answer:

The slope of the line is m = 2.

The y-intercept is (0,7).

The equation of the line in the slope-intercept form is y = 2 x - 7.

Step-by-step explanation:

The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]

is given by  [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]

Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].

Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).

[tex]b=5-(2)*(6)=-7[/tex]

Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:

[tex]y=2x-7[/tex]

Answer:

Step-by-step explanation:

The slope formula is used to find the equation of the line that passes through the points in this problem.

SLOPE FORMULA:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]

Use the slope-intercept form.

SLOPE-INTERCEPT FORM:

[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]

[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]

[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

MRP: 612.5

MRC: 350

Step-by-step explanation:

MRP: 1750 x 0.35/1= 612.5

MRC: cost to rent each vehicle per day

Answer:

11t.

hope this helps you

Answer:

The answer is shift up 5 units.

If the triangle has all sides of different lengths, then the triangle is considered scalene, which means it can be classified.

There isn't enough info to know if the triangle is acute, right, or obtuse.

Answer:

the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30

Step-by-step explanation:

umm i think

Answer:

Step-by-step explanation:

(-3m-2n³)²(4mn²p-4)

= (-3m-2n³)(-3m-2n³)(4mn²p-4)

= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)

= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)

= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6

Answer:5:15

Step-by-step explanation:

2:30+2 hour=4:30

4:30+45=5:15

Answer:

  (10x² +12x +32) ft²

Step-by-step explanation:

The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.

__

Overall area:

  ((2x +6) ft) × (10x) ft = (10x² +60x) ft²

Pool area:

  ((6x -4) ft) × (8 ft) = (48x -32) ft²

Walkway area:

  overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)

  = (10x² +12x +32) ft²

Answer:

Length of AC = 12units.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

[tex]\sf\large{\star To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Base of the triangle.

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Pythagoras Theorem:

[tex]\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}[/tex]

So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,

[tex]\rightarrow[/tex][tex]\sf{10^2\:=\: 8^2 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100\:=\: 64 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100-64\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{36\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{\sqrt{36}\:=\: Base}[/tex]

[tex]\rightarrow[/tex][tex]\sf{6\:=\: Base}[/tex]

Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.

Therefore, length of AC of the given triangle = [tex]\sf\purple{12units.}[/tex]

Answer:

  y = 15/x

Step-by-step explanation:

An inverse proportion has the equation ...

  y = k(1/x) . . . . k is the constant of proportionality

__

Solving for k, we find ...

  k = xy

The coordinates of the given point can be used to find k:

  k = (3)(5) = 15

Then the equation of the graph is ...

  y = 15/x

The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

Let J represent the event that junior is selected

Let S represent the event that senior is selected

Hence:

Probability when Jamie is selected as the last person

P(JSJ)  or P(SJJ)

P(JSJ) =6/14×8/13×5/12

P(JSJ) =10/91

P(SJJ) =8/14×6/13×5/12

P(SJJ) =10/91

P(Jamie selected)=P(JSJ) + P(SJJ)

P(Jamie selected)=10/91+10/91

P(Jamie selected)=20/91

P(Jamie selected)=0.2198×100

P(Jamie selected)=21.98%

P(Jamie selected)=22% (Approximately)

Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

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Answer:

Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%

Step-by-step explanation:

trust me

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

The arc length is defined as the interspace between the two points along a section of a curve.

An arc of a circle is any part of the circumference.

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;

[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]

Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

Learn more about arc here;

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129m^2

A= bxh/2

Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2

A= 13x5

= 65

A= bxh

= 8x8

=64

64 + 65= 129

Hope this helps!

A percentage is a way to describe a part of a whole. The new wage per hour to the nearest cent if it is increased by 9% will be $18.26.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the Medical assistants are to receive a 9% increase in wages per hour. While the current wage of Medical assistance is $16.75 an hour.

Therefore, the new wage per hour to the nearest cent will be,

New wage = Old wage + 9% of old wage

                  = $16.75 + 0.09($16.75)

                  = $18.26

Hence, the new wage per hour to the nearest cent will be $18.26.

Learn more about Percentages:

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Answer:

$6.74

$242.78

Step-by-step explanation:

A

$53.95 ÷ 8 = $6.74

B

3 × 12 = 36

36 ÷ 8 = 4.5

4.5 × 53.95 = 242.775

$242.78

Answer:

(45 miles) / ((1 hour) + (45 minutes)) =

11.4953143 m / s

Step-by-step explanation:

Answer:

25.71 mph

Step-by-step explanation:

45 miles in  1.75 hours

45 miles /1.75  hours =  25.71 mph

Answer 10

Step-by-step explanation:

its 8 when you round it to the nearest 10 its will give you 10