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Readme [11.4K]
4 years ago
15

Divide using long division.

" alt="(x^{2} -5)" align="absmiddle" class="latex-formula"> ÷ (x-5)
Mathematics
1 answer:
Morgarella [4.7K]4 years ago
4 0

Answer:

The quotient = x + 5 and the remainder = 20

Step-by-step explanation:

\frac{x^{2}+0-5 }{x-5}=x+\frac{5x-5}{x-5}

\frac{5x-5}{x-5}=5+\frac{20}{x-5}

The quotient = x + 5 and the remainder = 20

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The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the
8090 [49]
A)R=0.65log(0.39E)+1.45

7.5=0.65log(0.39E)+1.45

B)6.05=0.65log(0.39E)   Subtracted 1.45 from~ both~ sides~ of~ equation.

9.31=log(0.39E)          Divided each side by 0.65.  



C) 9.31=log(0.39E)

10^(9.31)=0.39E

E=5.24*10^9 kilowatt hours
5 0
4 years ago
Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
FromTheMoon [43]

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

t\in [\dfrac{1}{4},2]

3 0
3 years ago
23% males responded. Of all the femails respondents 43% drive to school. Of all the male respondents 28% ride the bus. P(both ma
adell [148]

Answer:

The Probability of both male and rides the bus is P(x , y) =  0.0644

Step-by-step explanation:

Given data

Males responded x = 0.23

The male respondents ride the bus y = 0.28

Probability of both male and rides the bus is given by

P(x , y) = x × y

Put the values of x & y in equation (1) we get

P(x , y) = 0.23 × 0.28

P(x , y) =  0.0644

Therefore the Probability of both male and rides the bus is P(x , y) =  0.0644

8 0
4 years ago
If I buy a sweatshirt for $30, and the sales tax is 7% in my state, how much will I pay for the sweatshirt, including the sales
algol13

Answer:

$32.10

Step-by-step explanation:

If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:

30 x 1.07 = 32.1

Add the units, and you get $32.10

Hope this helps!

6 0
3 years ago
Read 2 more answers
If 75% is 10 days, how many days is the remaining 25%?
inna [77]

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

6 0
3 years ago
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