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3 years ago

Which expression is equal to 5^4⋅5^8 ? 512 54 52 5−4

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)

The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.

So, 5^4*5^8 = 5^(4+8) = 5^12

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A line passes through (1, –5) and (–3, 7).

Brilliant_brown [7]

Slope of the line =(7- -5) / (-3-1) = 12 / -4 = -3

a. point slope form is y + 5 = -3(x - 1) Answer

b rearrange to slope-intercept form:-
y = -3x + 3 - 5
y = -3x - 2 Answer

5 0

3 years ago

18.25=4(1.5-3.75x)-.25(4x-5) wat is x?

sdas [7]

The answer is x= - 11/ 16
You can check this by plugging in x for -11/16

5 0

2 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

What is the decimal at the bottom of an element on the periodic table?

attashe74 [19]

Answer:

The atomic mass

Step-by-step explanation:

The decimal at the bottom of an element represents how much one atom of that element weighs.

5 0

2 years ago

Read 2 more answers

What is the value of x?<br> x+10<br> 105

sashaice [31]

X+10=105
105-10=95=x
x = 95

6 0

2 years ago