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2 years ago

10

You have $15 to spend on school supplies. You need to buy a three-ring binder and some folders. The binder costs $5.99 and each

folder costs $1.99. How many folders can you buy?

1 answer:

nataly862011 [7]2 years ago

5 0

Answer:

qwerty

Step-by-step explanation:

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Which number from the set of numbers {3, 5, 6, 7} makes the equation below TRUE?

beks73 [17]

Answer:

6

Step-by-step explanation:

replace x with 6 in the ecuation.

4(6)=24 - 8 =16

5 0

2 years ago

Read 2 more answers

The ______________ of a sample statistic is the probability distribution of the population of all possible values of the sample

enot [183]

Answer:

Sampling distribution

Step-by-step explanation:

The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

4 0

2 years ago

If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?

Keith_Richards [23]

$\bf \begin{cases}
f(x)=2-x^{12}\\
g(x)=x^2-9\\
g(x)\div f(x)=\frac{g(x)}{f(x)}
\end{cases}\implies \cfrac{x^2-9}{2-x^{12}}$

now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to undefined.

now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.

$\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\
-------------------------------\\\\
\cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}$

so, the domain is all real numbers EXCEPT that one.

4 0

2 years ago

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 cent

Eddi Din [679]

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

7 0

2 years ago

Without calculating, how do you know that the equation |4x - 71 = -1 has no solution?

Anni [7]

Answer:

See Explanation

Step-by-step explanation:

Given

$|4x - 7| = -1$

Required:

How do you know, it has no solution

The expression on the left-hand side is an absolute function and the result is always positive.

However, the expression on the right-hand side shows a negative sign.

The negative sign is on the contrary to what an absolute value represent.

<em></em>

<em>Hence, it has no solution.</em>

5 0

2 years ago