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seropon [69]
3 years ago
8

The daily expenses for each of a transportation service company’s trucks is given by the function d(x) = 15 + 0.5x, where d(x) i

s the daily expense per truck (in dollars) and x is the daily mileage. The input for the function includes _______ .
Identify the domain of the given function.
a. all fractions
b. all integers
c. all real numbers
d. all positive real numbers
Mathematics
2 answers:
Over [174]3 years ago
8 0

For this case we have the following equation:

d (x) = 15 + 0.5x

Where, by definition, we have the following variables:

d (x): the daily expense per truck (in dollars)

x: the daily mileage

Therefore, the domain of the function is given by:

x> 0

Equivalently:

[0, ∞)

Answer:

The input for the function includes all positive real numbers

option d.

Zigmanuir [339]3 years ago
3 0
The input for the function includes all positive real numbers. The correct option among all the options that are given in the question is the fourth option or option "d". The other choices are incorrect and can be avoided. I hope that this is the answer that has actually come to your desired help.
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A lady buys 20 trinkets at a yard sale.
Katen [24]

Answer:

Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

Step-by-step explanation:

A lady buys total number of trinkets = 20

Cost of each trinket is either $0.30 or $0.65.

Let the number of trinkets is x she purchased for $0.30 and y for $0.65

Then x + y = 20 --------(1)

Since she spends total amount = $8.80

Then the equation will be

0.30x + 0.65y = 8.80 ---------(2)

We replace x = (20 - y) from equation (1) to equation (2)

0.30(20 - y) + 0.65y = 8.80

6 - 0.30y + 0.65y = 8.80

0.35y + 6 = 8.80

0.35y = 8.80 - 6

0.35y = 2.80

y = \frac{2.80}{0.35}

y = 8

Now we put y = 8 in equation (1)

x + 8 = 20

x = 20 - 8

x = 12

Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

7 0
3 years ago
√108<br><img src="https://tex.z-dn.net/?f=9%20%5Ctimes%20%5Cfrac%7B13%7D%7B20%7D%20" id="TexFormula1" title="9 \times \frac{13}{
ki77a [65]
I'm assuming your allowed to use a calculator for this? That's what I would do.
\sqrt{108}  = 10.39
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
9 \times 20 = 180
180 + 13 = 193
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
\frac{193}{20}  = 9.65
For the third one, just input it into a calculator,
2\pi + 3.4 = 9.68
4 0
3 years ago
Please help me (It's for a really important grade)
Sholpan [36]

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

7 0
2 years ago
Use the distributive property to remove the parentheses. -6(11 - 2)​
salantis [7]

Answer:

-66+12 or -54

Step-by-step explanation:

To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).

-6*11=-66

A negative multiplied by a positive is a negative.

-6*-2=12

A negative multiplied by a negative is a positive.

-66+12=-54

7 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere. He
dezoksy [38]

Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

In the question, we are given that a sphere and a cylinder have the same radius and height.

We assume the radius of the sphere to be r, and its height to be h.

Now, the height of a sphere is its diameter, which is twice the radius.

Thus, the height of the sphere, h = 2r

Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.

The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.

Thus, the volume of the given sphere using the formula is (4/3)πr³.

The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.

Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.

Now, to compare the two volumes we take their ratios, as

Volume of the sphere/Volume of the cylinder

= {(4/3)πr³}/{2πr³}

= 2/3.

Thus, the volume of the sphere/the volume of the cylinder = 2/3,

or, the volume of the sphere = (2/3)*the volume of the cylinder.

Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.

Thus, Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

Learn more about volumes at

brainly.com/question/12398192

#SPJ4

For the complete question, refer to the attachment.

6 0
1 year ago
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