The prime factorization of 1080 is ____
.

List the factors from least to greatest and be sure to use the * between different the factors. For example, the prime factorization for 12 can be entered as 2*2*3. Do not use exponents.

Answer:

[tex]3.84\times10^8\ m[/tex]

Step-by-step explanation:

It is given that,

The average distance between the Earth and the Moon is 384 400 km.

We need to express in in standard form.

1 km = 1000 m

It means,

384400 km = 384400000 km

or

= [tex]3.84\times10^8\ m[/tex]

Hence, the average distance between the Earth and the Moon is [tex]3.84\times10^8\ m[/tex].

Answer:

$14.70

Step-by-step explanation:

31.50/15=2.10

2.10*7=14.70

Answer: -16

Step-by-step explanation:

4m-15m-50=126

-11m=126+50

-11m=176

m=176/-11

m=-16

Answer:

C.) I believe

Step-by-step explanation:

Answer:

Step 3: He should have divided both sides by -7.

Step-by-step explanation:

He divided by 7 not -7.

Hope this helps. Pls give brainliest.

Answer:

4.33

Step-by-step explanation:

Answer: D

Step-by-step explanation: If you plug in the formula, it works.

Answer:

D

Step-by-step explanation:

Answer:

around 66% of their games

Step-by-step explanation:

So if we add 20 and 10 we get 30 which is the total amount of games played. We know that the team won 20 of the 30 games which we can reduce to 2/3. 2/3 is equal to 66.66 but most people just say 66% or you can round it up to 67%

Hope I helped!

Answer:

The equation is in the form of y = mx + b which make it really easy to graph.

m = the slope

b = the y-intercept

You can make the first point at the y-intercept.

Where x = 0 and y = 1, or plot the point ( 0, 1 ).

Next we use the slope to start plotting new points.

The slope is -3 which, in rise over run form, is [tex]\frac{-3}{1}[/tex]. Since -3 is negative we go down 3 units from the y-intercept and 1 to the right because it's positive. This makes a point at ( 1, -2 ). Then from that point go down 3 and 1 to the right again to get ( 2, -5 ).

We can continue using the slope to plot more points and then draw a continuous line through them to finish graphing the linear function.

Answer:

Step-by-step explanation:

The set up will give a right angles triangle;

Given

The height of the ramp (opposite) = 6 foot

distance away along the ground = 40 feet (adjacent)

Required

Angle of depression theta

Using the TOA identity;

tan theta = opposite/adjacent

tan theta = 6/40

tan theta = 0.15

theta = tan^-1{0.15}

theta =8.53 degrees

hence the angle of depression to nearest tenth of a degree is 89.5 degrees

Answer:

f(x)=-1/4x-2

Step-by-step explanation:

m=-3-(-2)/4-0=-1/4= slope

b=y-intercept=-2,

so f(x)=-1/4x-2

A linear function f with f(4)=−3 and f(0)=−2 is

[tex]f(x)=-\frac{1}{4}x-2[/tex]

Given :

a linear function f with f(4)=−3 and f(0)=−2.

f(0)=-2. It means y intercept is -2

Linear equation of a line is given by y=mx+b

where m is the slope and b is the y intercept

y intercept b is -2

Lets find out slope m . Lets use f(4)=-3  that is when x=4 the value of y is -3

[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]

Now we replace in the equation of line y=mx+b

[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]

Replace y with f(x) to get linear function

[tex]f(x)=-\frac{1}{4}x-2[/tex]

Learn more: brainly.com/question/19065330

Answer:

Yes, Always

Step-by-step explanation:

If M is the midpoint of line KL, then M, K, and L are collinear.

As you notice in the diagram, to be collinear means part of the same line.

please mark brainliest

Answer:

Always

Step-by-step explanation:

I am not drawing a scech for you have a brain

Answer:

84.67

Step-by-step explanation:

Given that :

First test:

Mean (m) = 58

Standard deviation (s) = 6

A score of 66 on the first test :

Z score (standardized score) :

Z = (66 - 58) / 6

Zscore = 1.3333

Second test:

Mean (m) = 78

Standard deviation (s) = 5

Using the Zscore pertaining to 66 in the first test :

Z = (x - m) / s

1.3333 = (x - 78) / 5

1.3333 * 5 = x - 78

6.66667 = x - 78

x = 6.6667 + 78

x = 84.67

Answer:

The histogram shows the heights in meters of trees in a certain section of a park.  

How many trees are less than 20 meters tall?

Answer: From the given histogram, we clearly see:

There is 1 tree with height less than 8 meters

There are 1 + 2 = 3 trees with height less than 12 meters

There are 3 + 2 = 5 trees with height less than 16 meters

There are 5 + 4 =9 trees with height less than 20 meters.

Therefore, the correct option is B. 9

Step-by-step explanation:

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Step-by-step explanation:

Given

[tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex]

We know the rational zeros theorem such as:

if [tex]x=c[/tex] is a zero of the function [tex]f(x)[/tex],

then [tex]f(c) = 0[/tex].

As the [tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex] is a polynomial of degree [tex]4[/tex], hence it can not have more than [tex]4[/tex] real zeros.

Let us put certain values in the function,

[tex]f(5) = 448[/tex], [tex]f(4) = 126[/tex], [tex]f(3) = 0[/tex], [tex]f(2) = -20[/tex],

[tex]f(1) = 0[/tex], [tex]f(0) = 18[/tex], [tex]f(-1) = 16[/tex], [tex]f(-2) = 0[/tex], [tex]f(-3) = 0[/tex]

From the above calculation results, we determined that [tex]4[/tex] zeros as

[tex]x = -3, -2, 1,[/tex] and [tex]3[/tex].

Hence, we can check that

[tex]f(x) = (x+3)(x+2)(x-1)(x-3)[/tex]

Observe that,

[tex]for x > 3[/tex], [tex]f(x)[/tex] increases rapidly, so there will be no zeros for [tex]x>3[/tex].

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Answer:

Step-by-step explanation:

A

Answer:

Brenton's annual earnings are $39,240.

Answer:

yes

Step-by-step explanation:

heres why

Step 1: Add 5 to both sides.

7y−5+5=9+5

7y=14

then ima divide 14 by 7 which equals 2

14/7y =2

so its true

Complete Question

Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units

Answer:

d. (8z + 6) units

Step-by-step explanation:

The formula for the Perimeter of a Triangle is :Side A + Side B + Side C

Hence,

(2z + 8)units + (4z - 10) units + (2z + 8)units

= (2z + 8 + 4z - 10 + 2z + 8)units

Collect like terms

= 2z + 4z + 2z + 8 - 10 + 8

= 8z + 6 units

The expression that represents the perimeter of the triangle is (8z +6) units

Answer:

I hope you're having a great day too! And thanks for the joke :)

Step-by-step explanation:

Answer:

Step-Distance  =  (speed) x (time)

                     (3 m/sec) x (45 sec)  =  135 meters  by-step explanation:

Answer:

The correct answer is D.) 135 m

Step-by-step explanation:

I just did the instruction on edge 2021 and got it right

Answer:

2(3x-20)

Step-by-step explanation:

2(3x-20) that's your answer..

Answer:

30/t = 18/r

30 = 18t/r

30r = 18t

18t = 30r

18t/18 = 30r/18

t = 5/3r

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

30/t = 18/r

30r = 18t/r

30r = 18t

30r/30 = 18t/30

r = 3/5 t

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

r = 3/5t, t = 5/3r

Answer:

solving we get Solution set = {4,0}

Step-by-step explanation:

We are given system of equation:

[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]

Multiply eq(1) by 2 and eq(2) by -3

[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]

We get y=0,

Now finding x by putting value of y in eq(1)

[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]

So, solving we get Solution set = {4,0}

A3.5x+1008y

Step-by-step explanation:

(0,7) , (7,8)

Y-intercept is at (0,7) and the slope is 1/7 so from the y intercept, go up 1 and over 7.

Answer:299.94

Step-by-step explanation:youre welcome