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3 years ago

Simplify. Write answer with positive exponents.8^3⋅8^5

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Step-by-step explanation:

By Law of Indices, a^m * a^n = a^(m+n).

Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.

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PLEASE SOMEBODY ANSWER

Kipish [7]

Answer:

Step-by-step explanation:

2ab cos C=a²+b²-c²

2×31×14 cos C=31²+14²-40²

868 cos C=961+196-1600=-443

cos C=-443/868

C=cos^{-1}(-443/868)≈120.688≈120.69°

by sine formula

m∠B=180-(62+55)=180-117=63°

$\frac{AC}{sin~B} =\frac{AB}{sin~C} \\\frac{240}{sin 63} =\frac{AB}{sin~55} \\AB=\frac{sin~55}{sin~63} \times 240 \approx 220.645 \approx 220.65 ~ft$

5 0

3 years ago

SAT scores probability 1

fredd [130]

Answer:

a. 81.5%

Step-by-step explanation:

The z-score for 400 is ...

Z = (X -μ)/σ = (400 -500)/100 = -1

The z-score for 700 is ...

Z = (700 -500)/100 = 2

The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...

(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A

6 0

3 years ago

Help me please this is pre algebra

netineya [11]

Ok first one when you are dealing with two step equations you need to cancel out the -6 so add 6 to both side so now you have 28 and divide that by 4 because you need to cancel out the 4

4x-6=22
+6=+6
4x=28
4x/4=28/4
X=7

3 0

3 years ago

Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces,

Amiraneli [1.4K]

Answer:

The option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct

Step-by-step explanation:

Given that Sam is an artist, and he wants to purchase frames to display his work at home.

He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.

<h3>To find the system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs :</h3>

Let x be the large frames cost

Therefore $x=\dollar 24$

Let y be the medium frames cost

Therefore $y=\dollar 18$

Sam's Spend amount is $\dollar 225$

We can write the system of the given condition by

$24x+18y=\dollar 225$

$x+y^210$

<h3>Therefore the option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct</h3>

4 0

3 years ago

The radius of a circular rug is 4 feet. What is the area?

Greeley [361]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(4)^2

=3.14*16

=50.24 ft^2

8 0

3 years ago