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Eduardwww [97]
3 years ago
15

What is 10 to the fourth power simplified as

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

10000

Step-by-step explanation:

Multiply 10 times each time by 4. Make it easier just by adding 4 zeros.

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A line passes through (-9,-5) and (2,-4)
zlopas [31]

The point-slope form of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-9, -5) and (2, -4). Substitute:

m=\dfrac{-4-(-5)}{2-(-9)}=\dfrac{1}{11}\\\\y-(-5)=\dfrac{1}{11}(x-(-9))\\\\\boxed{y+5=\dfrac{1}{11}(x+9)}\leftarrow\boxed{\text{point-slope form}}

The standard form of a line:

Ax+By=C

y+5=\dfrac{1}{11}(x+9)                <em>multiply both sides by 11</em>

11y+55=1(x+9)

11y+55=x+9     <em>subtract 9 from both sides</em>

11y+46=x      <em>subtract 11y from both sides</em>

46=x-11y

\boxed{x-11y=46}\leftarrow\boxed{\text{standard form}}

5 0
3 years ago
Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form. Step 1: Choose (X1,Y1)
Ivan
Answer:

Step-by-step explanation:
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is y2-y1
x2-i1

Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is y=x/7+15/7
5 0
3 years ago
A mattress store charges 7% sales tax and a 50 delivery fee
amm1812

We are given function f(a) = 1.07a for total amount including sales tax.

g(b) = b+50 total cost including delivery.


We need to write function g(f(a)).

g(f(a)) = g of f(a).

We need to substitute function f(a) in g(b) function for b.

g(f(a)) = g(1.07a) = 1.07a +50.

<h3>Therefore,  g(f(a)) = 1.07a +50.</h3>

We are given mattress price a = $1125.

In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.

Plugging a= $1125, we get

g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.

<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
3 0
3 years ago
Read 2 more answers
Gwendolyn has already read 130 pages of her 400-page summer reading book. If she reads at an average rate of 45 pages per hour,
tester [92]
H=270/45

To find how many hours it takes to read the rest of the book, you have to divided the remainder of pages (270) by how many pages are read in a hour (45)
6 0
3 years ago
Read 2 more answers
Can someone answer this please I don’t understand
nasty-shy [4]

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

7 0
3 years ago
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