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telo118 [61]
3 years ago
10

Derick studied 13 1/2 hours this week for a spelling bee. Write the number of hours as a decimal.

Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

13.5

Step-by-step explanation:

When you convert fraction numbers to decimal numbers, remember they are written like this:

whole . parts

In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts

To find the decimal for 1/2, put into your calculator <u>1 ÷ 2</u>. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.

13.5

Derek studied 13.5 hours for the spelling bee.

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What is the domain of f(x) = 2^x?
hammer [34]

The given function has no undefined points nor domain constraint. Thus, the domain is: -\infty \: < x < \infty.

<h3>Domain and Range</h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

In this question, the function 2^x has no undefined points nor domain constraint. Therefore, the domain is: -\infty \: < x < \infty

Learn more about  the domain here:

brainly.com/question/10197594

#SPJ1  

3 0
2 years ago
Please help, my score is 89 I have to get to 90 this question is important!
White raven [17]

Answer:

40.4

Step-by-step explanation:

Triangle TUV is similar to triangle XYZ.

Notice the order in which TUV and XYZ are written.

Angles are corresponding to angles in the same position in the names.

<T corresponds to <X.

<U corresponds to <Y.

<V corresponds to <Z.

In similar triangles, corresponding angles are congruent.

<T is congruent to <X.

<U is congruent to <Y.

<V is congruent to <Z.

m<T = m<X = 63.1°

m<U = m<Y

m<V = m<Z = 76.5°

m<X + m<Y + m<Z = 180°

63.1° + m<Y + 76.5° = 180°

m<Y + 139.6° = 180°

m<Y = 40.4°

3 0
3 years ago
Is x + 2 a factor of p(x) = x°- 3x² – 7x + 6 ? Explain your answer.
Lostsunrise [7]

Answer:

True

Determine whether x+2 is a factor of x³-3x²-7x+6:

↓

True

<em>I hope this helps you</em>

<em>:)</em>

4 0
3 years ago
Debra's rectangular vegetable garden measures 93 yards by 12 yards.
77julia77 [94]

Answer:

126 cups of fertilizer

Step-by-step explanation:

<u><em>The complete question is</em></u>

Debra's rectangular garden measures 9 1/3 by 12 yards .a bottle of fertilizer cost $14.79 .if Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden how many cups of fertilizer does she need?

step 1

Find the area of the rectangular garden

The area of rectangle is equal to

A=LW

we have

L=9\frac{1}{3}\ yd=9+\frac{1}{3}=\frac{9*3+1}{3}=\frac{28}{3}\ yd

W=12\ yd

substitute

A=(\frac{28}{3})12=112\ yd^2

step 2

Convert square yards to square feet

Remember that

1\ yd=3\ ft

1\ yd^2=9\ ft^2

so

112\ yd^2=112)9)=1,008\ ft^2

step 3

Find how many cups of fertilizer does she need

using proportion

\frac{(1/8)}{1}\ \frac{cups}{ft^2}=\frac{x}{1,008}\ \frac{cups}{ft^2}\\\\x=1,008/8\\\\x=126\ cups

5 0
3 years ago
Solve for a <br> -3= 5a/7+4/7
Nastasia [14]

Answer:

a = -5

Step-by-step explanation:

4 0
3 years ago
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