Which of the following equations has -4 as a possible value of p?
Choose all answers that apply:
А
p2 = 16
B
p3 = 64
None of the above

Answer:

4 and 6 are the two consecutive even integers

Step-by-step explanation:

Hi,

Let x represent the smaller of the two consecutive even integers, (x+2) the other

Write as we Read***

6x = 4(x+2)

solve for x

6x = 4x + 8

2x = 8

x = 4

checking our answer

6*4 = 4*6 = 24

Answer: 31.42

Step-by-step explanation:

\(c = 2\pi \: r\)

\(c = 2 \times 3.14 \times 5\)

\(c = 31.4159\)

Step-by-step explanation:

Hope it helps you ..

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

The domain of \($f$\) is the set of all pairs \($(x,y)$\)  such that \($x\geq 0$\) and \($y\neq 0$\). In set-builder notation, we can write:

\({(x,y) \mid x\geq 0,,y\neq 0}$$\)

The domain of the function \(f(x,y) = \frac{\sqrt{x}}{y}$\)consists of all pairs \($(x,y)$\) such that the expression \($\frac{\sqrt{x}}{y}$\) is defined.

The numerator \($\sqrt{x}$\) is defined for all non-negative real numbers x, so we have \($x \ge 0$\). The denominator y is defined for all non-zero real numbers y, so we have \($y \neq 0$\).

Therefore, the domain of f is the set of all pairs \($(x,y)$\) such that \($x\geq 0$\) and \($y\neq 0$\). In set-builder notation, we can write:

\($${(x,y) \mid x\geq 0,,y\neq 0}$$\)

To find the range of the function, we need to determine the set of all possible values of \($f(x,y)$\). Since \($\sqrt{x}$\) takes non-negative real values, we know that \($f(x,y)$\) is either positive or negative, depending on the signs of x and y.

If\(x > 0$\), then \($\sqrt{x}$\) is positive, and \($f(x,y)$\) can take any positive or negative value, depending on the sign of y. If \($x=0$\) and \(y > 0$\), then \($f(x,y)=0$\). If \($x=0$\) and \($y < 0$\), then \($f(x,y)$\) is undefined.

Therefore, the range of f is the set of all real numbers except for 0 when x=0, and can be written as:

\($${f(x,y) \mid f(x,y) \neq 0,, (x,y)\in \mathbb{R}^2}$$\)

In interval notation, we can write the range as \((-\infty,0)\cup (0,\infty)$.\)

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Answer:

2,400

Step-by-step explanation:

if you buy an item at $3000 with 20% discount, you will pay 3000 - 600 = 2400 dollars.  

i hope it helps :)

Based on the fact that Brian irons 2/9 of the shirt every 3/5 minutes, the percentage of the shirt ironed each minute is 37%

To find out the portion of the shirt that is ironed per minute, use direct proportion to cross multiply and solve for x:

2/9 : 3/5

x      : 1

3/5x = 2/9

Solving for x gives:

= 2/9 ÷ 3/5

= 0.37

= 37%

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Answer:

3x+5

Step-by-step explanation:

Collecting like terms.

8x-2-5x+7

8x-5x-2+7

3x+5

Answer:

8x - 2 - 5x + 7 =3x+5

Step-by-step explanation:

8x - 2 - 5x + 7

Combine like terms

3x + 5

For an equation to have infinitely many solutions, x must have no impact on the equation.  Thus it must be:

3x+5=3x+5

I think this is what you mean?

g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

Answer:

(d)

Step-by-step explanation:

Given

See attachment for \(\triangle BCD\) and \(\triangle B"C"D"\)

Required

The transformations

Using B and B"" as points of reference, we have:

\(B = (1,4)\)

\(B"" = (5,-1)\)

The transformation is as follows:

First, reflect across y axis.

The rule is:

\((x,y) \to (-x,y)\)

So, we have:

\(B(1,4) \to B'(-1,4)\)

Next, translate 6 units right.

The rule is:

\((x,y) \to (x + 6,y)\)

So, we have:

\(B' (-1,4) \to B"(-1 + 6,4)\)

\(B' (-1,4) \to B"(5,4)\)

Lastly, translate 5 units down

The rule is:

\((x,y) \to (x,y-5)\)

So, we have:

\(B"(5,4) \to (5,4-5)\)

\(B"(5,4) \to (5,-1)\)

Hence; (d) is correct

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

y= \(\sqrt{x}\)

Step-by-step explanation:

Answer:24 feet

Step-by-step explanation:I used it and it seem like I got it correct

Step-by-step explanation:

The best approximation for the area of this circle with a radius of 8in is 201.0 in².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius). The area, a circle occupies in a two-dimensional plane is known as the area of the circle. Therefore, the area that a circle with radius r encloses is πr².

Given the radius r of the circle is 8 in. Then, the area is,

A = 3.14×(8 in)² =200.96 in²=201.0 in²

The answer is 201.0 in² and the correct option is option c.

The complete question is -

What is the best approximation for the area of this circle? Circle with radius labeled 8 in. Use 3.14 to approximate pi.  a) 25.1 in² b) 50.2 in² c) 201.0 in² d) 803.8 in²

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The 90% confidence interval for the mean is between 5.5 and 5.7 fast food meals consumed per week.

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha\) = 1-0.9/2 =0.05

Now, we have to find z in the Z table as such z has a pvalue of 1-\(\alpha\)

So it is z with a pvalue of 1-0.05 =0.95 , so Z is 1.64

Now, find M as such

M= z * s / \(\sqrt{n}\)

M= 1.64 * 1.33 / \(\sqrt{548}\) = 0.09

The sample mean has been subtracted by M to give the lower end of the range. 6.7 - 0.09 = 5.52 = 6.61, so

The sample mean plus M determines the interval's upper end. 6.7 plus 0.09 equals 6.79.

Therefore, fast food meals consumed weekly fall within a range of 6.61 and 6.79, according to the 90% confidence interval for the mean.

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Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

the cat is 27 inches tall

Step-by-step explanation:

the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches

The value of the function is f ( 3 ) = 9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the function be represented as f ( x )

Now , the equation will be

Substituting the values in the equation , we get

f ( x ) = 2x + 3   be equation (1)

On simplifying the equation , we get

y = 2x + 3

And , when x = 3

Substitute the value of x =3 in the equation , we get

f ( 3 ) = 2 ( 3 ) + 3

On further simplification , we get

f ( 3 ) = 6 + 3

f ( 3 ) = 9

Therefore , the value of f ( 3 ) is 9

Hence , the equation is f ( 3 ) = 9

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Answer:

108

Step-by-step explanation:

x and 2/3 x are linear pair angles.

Sum of linear pair angles is 180.

x + 2/3 x = 180

3x/3 + 2x/3 = 180

( 3x + 2x )/3 = 180

5x/3 = 180

Cross multiply,

5x = 180 * 3

Divide 5 on both sides,

x = ( 180 * 3 )/5

  = 36 * 3

x = 108

Answer:

minimum: 3

q1: 9

q3: 16

median: 13

max: 20

Step-by-step explanation:

the image attached below will help you read a box and whisker plot

Answer:

84

Step-by-step explanation:

Surface area is the combined area of the 2 dimensional planes.

6 × 5 + 3 × 4 × 1/2 × 2 + 6 × 3 + 4 × 6

30 + 12 + 18 + 24

= 84

The surface area is 84 square centimeters.

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.