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kifflom [539]
3 years ago
12

Evaluate the problem ​

Mathematics
2 answers:
Sedaia [141]3 years ago
5 0

Answer:

x=-2

Step-by-step explanation:

Isolate x by taking the log of each side:

\frac{1}{4}=2^x\\log_2(\frac{1}{4})=log_2(2^x)\\x=-2

This works because:

2^{-2} =\frac{1}{2^{2}}=\frac{1}{4}

If this helped, a brainliest would be greatly appreciated!

m_a_m_a [10]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

  1. Log_{2}\frac{1}{4} = -2

I hope this helps!

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the total cost of four boxes of pasta is $14 There are 16 oz of pasta in each box of the same amount what is the maximum number
Alja [10]

Answer:

18.5 but rounded to 19 because you cant have half of a box

Step-by-step explanation:

because each box costs 3.5 dollars because i did 1 4 divided by 4.then you want to get to 65 so i did 3.5 divided by 65 then got 18.5 which was rounded because the decimal was big This was the real decimal 18.5714286. THIS MIGHT BE WRONG  

5 0
3 years ago
The difference between two numbers is 34. The larger exceeds 3 times the smaller by 4. Find the numbers.
svlad2 [7]

x-(3x+4)=34

x= -19

-19-(3(-19)+4)=34

-19+(57-4)=34

-19+(53)=34

-19+53=34

34=34

therefore the first number is -19 and the second number is 53


3 0
3 years ago
Does 9, 4 ,and 6 <br> make a triangle
katrin2010 [14]

Answer:

yes

Step-by-step explanation:

To answer this we have to use the triangle theorum. This means that if you add two of the sides, it equals more that the third side. 9+4>6, 6+4>9, and 9+6>4

3 0
4 years ago
Work out the surface area of this solid prism.
alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

5 0
3 years ago
Plzz help <br><br>find value of following : 2sin75°.cos15°​
polet [3.4K]

Answer:

\frac{2+\sqrt{3} }{2}

Step-by-step explanation:

Using the product to sum formula

sinxcosy = \frac{1}{2} [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + \frac{\sqrt{3} }{2}

= \frac{2+\sqrt{3} }{2}

6 0
3 years ago
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