MATHEMATICS HIGH SCHOOL

Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer 1

Answer:

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3
(1/3)^3x = 3
3^-3x = 3^1
-3x = 1
x = -1/3

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For her semester project, an art student was required to complete an oil painting that was at least 5 square feet in area. If the student wanted to make a painting that was 3 3/4feet wide, what is the minimum height (in feet) that it could be?

Answers

The area of the figure would have to be:
Height × Width

The minimum area would be:
5×5=25 square ft.

To find the minimum height,we devide the area by it's width.

If the painting is 3 3/4 feet wide,the minimum height would have to be:
25÷3 3/4
=25/3×3/4
=25/4 or 6 1/4 ft.

Thus the answer would be:25/4 or 6 1/4 ft.

Hope it helps!

The minimum height would be roughly 1.67 feet.

Write the equivalent expression to (5x - 3x^2) - (5x -2)

Answers

Answer:

-3x^2+2

Step-by-step explanation:

(5x - 3x^2) - (5x -2)

Distribute the minus signs

(5x - 3x^2) - 5x +2

Combine like terms

-3x^2 +5x-5x+2

-3x^2+2

In the diagram below, AE = 4, EB = 3, and DE = 2. Find CE.

Answers

Answer: Value of CE = 6.

Explanation:

Since we have given that

AE=4

BE=3

DE=2

Let CE be x.

As we know that

When two chords intersect each other inside a circle, the products of their segments are equal.

Here, we can see that each chord is cut into two segments at the point of where they intersect.

So,

$EA.EB=EC.ED\n\n4* 3=x* 2\n\n12=2x\n\n(12)/(2)=x\n\n6=x$

Hence, value of CE = 6.

The slope of AB and CD is 3/5 and the slope of BC and AD is -5/3. ABCD is a parallelogram. True or False?

Answers

no i believe it is not...correct me if i am wrong

What is 80%of 40equals what

Answers

If you would like to solve 80% of 40, you can do this using the following steps:

80% of 40 = 80% * 40 = 80/100 * 40 = 32

The correct result would be 32.

hopefully this helps! (:

80% of 40 equal 32

Find each difference. (–6s2 + 12s – 8) – (3s2 + 8s – 6)