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Talja [164]
2 years ago
11

Choose the correct simplification of the expression d3 ⋅ d5.

Mathematics
1 answer:
snow_tiger [21]2 years ago
5 0
d^3*d^5=d^{3+5}=d^8
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Solve for x and find m∠FGH
mel-nik [20]

Answer:

x° = 11°

<em>Z </em><em>FGI </em><em>=</em><em> </em><em> </em><em>6</em><em>0</em><em>°</em>

Step-by-step explanation:

<em>I</em><em>f</em><em> </em><em>GH</em><em> </em><em>bisects</em><em> </em><em>Z </em><em>FGI</em>

<em>then</em><em> </em><em>Z </em><em>FGH </em><em>=</em><em> </em><em>Z </em><em>H</em><em>GI</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em>)</em><em>°</em><em> </em><em>=</em><em> </em><em>(</em><em>4</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>)</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>3</em><em>x</em><em>°</em><em> </em><em>-</em><em> </em><em> </em><em>4</em><em>x</em><em>°</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>°</em><em> </em><em>+</em><em> </em><em>3</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or,</em><em> </em><em>x°</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>°</em>

<em>Z </em><em>FGI </em><em>=</em><em> </em><em>3</em><em>3</em><em>°</em><em> </em><em>-</em><em> </em><em>3</em><em>°</em><em> </em><em>+</em><em> </em><em>4</em><em>4</em><em>°</em><em> </em><em>-</em><em> </em><em>1</em><em>4</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em> </em><em>6</em><em>0</em><em>°</em>

3 0
2 years ago
Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution
kramer

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Rayyan made a $3000 first payment of a car The total cost of a car was $7500 he made 36 equal monthly payments to pay the car in
hammer [34]

Answer:

$125/month

Step-by-step explanation:

<em>equation we got:</em>

7500 = 36x + 3000

<em>subtract</em><em> </em><em>3</em><em>0</em><em>0</em><em>0</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em>

4500 = 36x

<em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em><em>6</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>x</em><em> </em><em>by</em><em> </em><em>itself</em>

125 = x

x = 125

<em> </em><em>so</em><em> </em><em>rayyan</em><em> </em><em>paid</em><em> </em><em>$</em><em>1</em><em>2</em><em>5</em><em> </em><em>per</em><em> </em><em>month</em>

5 0
3 years ago
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need
-Dominant- [34]

There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

3 0
2 years ago
A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
6 0
3 years ago
Read 2 more answers
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