Which expression contains three terms
and the product of a constant and a
variable?
A 3.7 x 6
C 3.7 + b = 5
B 3.7 - a
D 3.7 x 5b + a

The surface area of the right triangular prism shown is 1288 m²

Area is the amount of space occupied by a two dimensional shape or object.

The prism has a triangular base with 24 m and height of 7m..

The surface area of the prism = 2(0.5 * 24 * 7) + (25 * 20) + (20 * 7) + (24 * 20) = 1288 m²

The surface area of the right triangular prism shown is 1288 m²

Find out more on area at: https://brainly.com/question/25292087

The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

3x - 2y = 10

The equation of the line that is perpendicular line is given as,

2x + 3y + d = 0

The equation is passing through (7, 5). Then we have

2(7) + 3(5) + d = 0

14 + 15 + d = 0

29 + d = 0

d = - 29

Then the equation of the line is given as,

2x + 3y - 29 = 0

2x + 3y = 29

3y = 29 - 2x

y = 29 / 3 - (2/3)x

The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ2

Answer:

They are in sets of two! (First two are a pair) First two are copying a line segment. The next two are bisecting!

Step-by-step explanation:

Given in pictures.

Answer:

Step-by-step explanation:

Given the exponential function:

P(t) = 500,000 * e^(-0.099t)

P(t) = population t years later

When population will be one-half the initial amount

Half the initial amount = 500000/2 = 250,000

250000 = 500000 * e^(-0.099t)

250000/50000 = e^(-0.099t)

0.5 = e^(-0.099t)

Take the In of both sides

In(0.5) = - 0.099t

−0.693147 = - 0.099t

0.693147 / 0.099 = t

t =

Answer:

Step-by-step explanation:

Sum = -14

Product = - 32

So, the factors = -16 , 2

When we add -16 +2 = -12 and when we multiply it is -32

w⁴ - 14w² - 32 =  w⁴ - 16w² + 2w² - 16 * 2

                      = w²(w² - 16) + 2(w² - 16)

                      = (w² - 16)(w² + 2)

                      = (w² - 4²)(w² + 2)

                      = (w + 4)(w - 4)(w² + 2)

Step-by-step explanation:

Replace w^2 with any other variable for eg: w^2=a

so that will make the equation:

a^2-14a-32

now factorize this equation and u can find the value of a

a^2-16a+2a-32

a(a-16)+2(a-16)

so factors= (a+2) (a-16)

since a was w^2 so replace them with w^2 and u got factors of the equation

you can also directly factorize the whole equation through middle term breaking

w^4-16w^2+2w^2-32

w^2(w^2-16)+2(w^2-16)

(w^2+2)(w^2-16)

you get the same answer

Answer:

7

Step-by-step explanation:

there is 2k pounds per ton, so it would just be 14/7

Answer:

7

Step-by-step explanation:

GIven;

A truck delivers 14,000 pounds of gravel.

To FInd;

How many tons are in 14,000 pounds?

Note;

Pound to Ton = Formula: Divide the mass value by 2

Solve;

Hence, 14/2 = 7

~Learn with Lenvy~

Answer:

A cylinder.

Step-by-step explanation:

A cylinder has two round tops , and one long body shape. When you roll the rectangle, it creates the body shape of the cylinder and the circles are the tops.

Answer:

a is the answer................. :P

Step-by-step explanation:

slope = rise/run

rise=2

run=4

rise/run= .5

and it intercepts y-axis at -5

Answer:

C. 3 3/8

Steps:

1/8-(-5+3/4)= x + 1

1/8 - (-20+3/4) = x+ 1

1/8 - (-17/4)=x+1

1/8 +17/4= x + 1

1+17x2 /8= x+1

1+34 /8= x+1

35/8 = x + 1

x= 35/8 -1

x= 35-8 /8

x=27/8

x=3 3/8

The answer is given is explanation

Answer:

Derrick receive $11268.25 from his grandparents on his 18th birthday

Step-by-step explanation:

We are given  Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly.

When Derrick turns 18, his grandparents will give him the money to use toward his college education.

Principal = $ 10000

Time = 18-15 = 3 years

Rate of interest = [tex]4\% = 0.04[/tex]

No. of compounds per year = 4

[tex]Amount = P(1+\frac{r}{n})^{nt}\\Amount=10000(1+\frac{0.04}{4})^{4 \times 3}\\Amount =11268.25[/tex]

Hence  Derrick receive $11268.25 from his grandparents on his 18th birthday

Answer:

ok

Step-by-step explanation:

Answer:

Well i don't have a notebook but i can tell you how to graph it

Step-by-step explanation:

First of all its dotted lines since ther arent less than/greater than or equal to

then the first equation is shaded down with a y intercept of -1 and a slop of 1

the second equation opens up has a slope of -1 and a y intercept of 2

To answer your question no it's not.

Answer:

-3/2

Step-by-step explanation:

use slope formula

y1-y2/x1-x2

Answer:

A. 3680.32 inches³

Step-by-step explanation:

To find the volume of this shape, all we have to do is multiply the length width and height together:

v = l × w × h = 15.5 × 11.2 × 21.2 = 3680.32 inches³

Hope this helps!

Answer:

x=4√5

Step-by-step explanation:

An equation is formed of two equal expressions. The value of x in the given equation is ±4√5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved for x as shown below,

x² = 80

x² = 2×2×2×2×5

x = √(2×2×2×2×5)

x = ± 4√5

Hence, the value of x in the given equation is ±4√5.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

In equation form the answer is x=0y=10/3 but in point form the answer is (0,10/3)

Step-by-step explanation:

Answer:

5+6 +(3*3)

Step-by-step explanation:

If you are allowed to mix the numbers then

5 + 6 + (3*3)

5+6 = 11

3*3 = 9

11+9 = 20

Hope this helps

Answer:

First let's find how much money the 4% is.

4/100 x 180 = $7.20

Now we add that sales tax to the cost of the telescope;

180 + 7.20 = $187.20, is what she'll pay in total.

Answer:

4. 52.   5. 80%   6. 32%   7. 50 total players.

Step-by-step explanation:

4: 20% = .2 so you are going to multiply 65 by .2, and you get 13 then just subtract 13 from 65 and you get 52.

5: just do 4/5 and you get .8 which is 80%

6: just do 16/50 and you get .32 which is 32%

7: well if you notice that 35 is a multiple of 5 you can see that 35 is 70% of 50 and to prove that you can punch in 35/50 and you get .7 which is 70%

Answer:

30%

Step-by-step explanation:

4320 - 288 = 4032

4032/12 =336 per copies

So, he sold them in 5760

5760 - 4032 = 1728

(1728/5760)*100 = 30%

Answer:

y= - 3

Step-by-step explanation:

note that the y- coordinates of both points are - 3

This indicates the line passing through them is a horizontal line, parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through ), that is

y = - 3

Answer:

-2

Step-by-step explanation:

4x:3=6:5.

4x/3=6/5

4x × 5=6×3

20 X=18

X=18-20

X=-2

Answer:

3/2

Step-by-step explanation:

"Negative" means take the opposite sign.

"reciprocal" means flip it over.

Answer:

Step-by-step explanation:

1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.

So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,

$10 + $1.50x = $12.50 + $1.00x

Now we solve for the x values and the starting amount of money,

0.50x = 2.50

and that gives us,

$5

The answer also solves for the bottom one, the answer you need on the top one is,

$10 + $1.50x = $12.50 + $1.00x

Answer:

7.3 years.

Step-by-step explanation:

A = P(1 + i)^n

9500 = 7500(1 + 0.033)^n     where n = number of years.

1.033^n = 9500/7500

n log 1.033 = log(9500/7500)

n =  log(9500/7500)/log 1.033

n = 7.28 = 7.3.

Answer:

8cm

Step-by-step explanation:

The circumference of a circle= π×diameter(d)

= πd= 8π cm

d=8π/π =8cm

Answer:

  [tex]\dfrac{1+\cos(x)}{\sin(x)}+\dfrac{\sin(x)}{1+\cos(x)}[/tex]

[tex]=\dfrac{(1+\cos(x))(1+\cos(x))}{\sin(x)(1+\cos(x))}+\dfrac{\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]

[tex]=\dfrac{1+2 \cos(x)+\cos^2(x)+\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]

[tex]=\dfrac{1+2 \cos(x)+1}{\sin(x)(1+\cos(x))}[/tex]

[tex]=\dfrac{2+2 \cos(x)}{\sin(x)(1+\cos(x))}[/tex]

[tex]=\dfrac{2(1+ \cos(x))}{\sin(x)(1+\cos(x))}[/tex]

[tex]=\dfrac{2}{\sin(x)}[/tex]

[tex]=2 \csc(x)[/tex]

Step-by-step explanation:

please mark me as brainlest

Answer:

110

Step-by-step explanation:

Angle P and angle N are angles on a straight line. The sum of angles on a straight line is always 180 degrees.

180-70=110