Write (2p)^4 without exponents.

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.

Step-by-step explanation:

I hope you like my answer. Thanks.

Answer:

274

Step-by-step explanation:

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

Answer:

5x+40

Step-by-step explanation:

You would distribute 5 to x+8 and that would add up to 5x+40.

Answer:

Step-by-step explanation:

5x+40

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

Learn more about perfect square click;

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9514 1404 393

Answer:

  (x < -7) ∪ (x > 9)

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero.

  x +7 = 0   ⇒   x = -7

  x -9 = 0   ⇒   x = 9

When this is expanded, we can see that the leading coefficient is positive.

  x² -2x -63 > 0

This means the parabola opens upward. It will be greater than 0 for x-values to the left of the left zero, and to the right of the right zero. (It is less than zero between those values.)

The solution is x < -7 or x > 9.

_____

In general, for polynomial inequalities, look for the locations of the zeros. The sign of the polynomial will have the sign of the leading coefficient for values of x to the right of the right-most zero. (Here, positive for x > 9.) As you progress farther to the left along the number line, the polynomial changes sign at each zero.

Here, the polynomial becomes negative between the values x=9 and x=-7. Then it is positive again for x < -7.

Answer:

bro no one can see that

Step-by-step explanation:

Answer:

8ounces

Step-by-step explanation:

pounds* 16= ounces

therefore 1/2pounds *16=8ounces

Answer:

I think the answer is 20 i hope this helped

Step-by-step explanation:

10 units.

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Answer:

x= 20,1 degrees

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

So it must be

3x-11+6x-10+x = 180

added up the terms with x

10x -11-10 = 180

added up the terms without x

10x - 21 = 180

added up (21) in the two members of the equation

10x-21+21 = 180+21

10x = 201

divide the two members by 10

x = 20,1 degrees

Answer:

72 or 75

Step-by-step explanation:

If we are going in order then the median would be 72.

If we are going by what you posted, then it would be 75.

You were asking about the mean, so I though I would just add it in here.

So basically, the mean is just where you add up all the numbers, and then divide them by how many numbers you have.

For your problem, this is 39+87+72+88+75+87+15+53+53. This equals 569.

Now, lets count how many numbers we added: 1...2...3...4...5...6...7...8...9.

Ok, so lets divide the 569 by 9. This should get you 63.222...

That is your mean.

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

Answer:

80b-16

Step-by-step explanation:

16(5b-1)

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

Answer:

222

Step-by-step explanation:

Hi! So marking up means to raise the price or increase it.

185 is the whole, a whole is 100

and we need to raise it by 20% so add these two together to get 120%, turn this into a decimal  is 1.2, now to find and increase we multiply it by the original price.

1.2 x 185 = 222

Very sorry if it is wrong.

Answer: it's H^+ and OH^- ions

Step-by-step explanation:

Answer:

It is 15!

Step-by-step explanation:

Therefore the answer is x=15 :)

Answer:

42

Step-by-step explanation:

37-79=42

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Answer:

233

Step-by-step explanation:

2ed

Answer:

hi

Step-by-step explanation:

Answer:

The equation of the line is x = 2

Answer:

x = 2

Step-by-step explanation:

When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,

it can be a horizontal line, y = the number the line is on from the y-axis

or a vertical line, x = the number the line is on from the x-axis.

In this case you have a vertical line so the equation would be

x = the number the line is on from the x-axis, which is 2 so your final answer would be

x = 2

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that [tex]p = \frac{1}{33}[/tex]

A local hospital randomly selects five births.

This means that [tex]n = 5[/tex]

What is the probability that at least one of the births results in a defect?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426[/tex]

0.1426 = 14.26% probability that at least one of the births results in a defect.

Answer:

n=100

Step-by-step explanation:

3n+1=301

3n=300

n=100

Answer:

(See explanation for all answers)

Step-by-step explanation:

4.

A. 3/16

It says in the chart that 4 text messages have a probability of 3/16.

5.

D. 13/16

You just have to add up all the probabilities under four.

6.

B. 5/8

At least two messages means that you need to add up all the probabilities 2 and above.

Hope this helps!

-Luna

Answer:

5

Step-by-step explanation:

The given two triangles are similar , therefore ,

⇒ 5x /20 = 45/36

⇒ x/4 = 5/4

⇒ x = 5/4 × 4

⇒ x = 5

Hence the value of x is 5.