The distance of a point ( 0 , -3 ) from the origin is

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to  zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

Answer: +-6, +-1, +-3

Step-by-step explanation: 2020edge

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

a) response variable

Step-by-step explanation:

The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.

In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.

In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".

Answer:

13

Step-by-step explanation:

3(4)+1

12+1

13

Answer:

13

Step-by-step explanation:

Equation:

3n + 1

Let's substitute 4 into the equation as n.

3n + 1

3(4) + 1

Solve:

3(4) + 1

Multiply:

3(4) + 1

12 + 1

Add:

12 + 1

= 13

Therefore, the value of the expression is 13.

The correct answer is 1365 ft

Explanation:

The volume refers to the space a body occupies, in the case of the bin made by Lauren this is composed of two rectangular prisms (one in the front and one in the back). Additionally, the volume of each prism can be calculated by multiplying the height, length, and width this means Volume= H x L x W.

According to this, the volume of the front rectangular prism is 735 considering 7ft (H) x 21ft (L) x 5ft (W) = 735 and the volume of the rectangular prism in the back is 630 considering the height of this is 3ft more than the one in the front this means the heigh is 10ft and 10ft (H) x 21ft (L) x 3ft (W) = 630. Finally, it is necessary to add the two volumes to find the total volume, thus 630+ 735 is equivalent to 1365 ft, which is the volume of all the bin.

Answer:

1365

Step-by-step explanation:

Answer:

74.4

Step-by-step explanation:

It is already rounded to the nearest tenth of a percent. If it was rounded to the nearest percent it'd be 74%.

Answer:

74.4% rounded to the nearest tenth of a percent is 74.4%

Step-by-step explanation:

This is how to round 74.4 to the nearest tenth.

Firstly, 74.4 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 74

Fractional Part: 4

To round 74.4 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

74.4 already has only one digit in the fractional part. Thus, 74.4 is already rounded as much as possible to the nearest tenth and the answer is:

74.4

Answer:

all i know is 8 and 9 might be correspondong angles

Step-by-step explanation:

i wish i wasn't going brain dead

Answer: The answer is dividing the radius in half

Step-by-step explanation: it is a half circle, remember that radius is half the diameter

The radius will be half the refracted base.

Radius is one of the important parts of a circle. It is the distance between the center of the circle to any point on its boundary. In other words, when we connect the center of a circle to any point on its circumference using a straight line, that line segment is the radius of that circle. A circle can have more than one radius because there are infinite points on its circumference. This means that a circle has an infinite number of radii and all the radii of the circle are equidistant from the center of the circle. The size of the circle changes when the length of the radius varies.

The radius of a circle can be found using the three basic radius formulas i.e., when the diameter, the area, or the circumference is known. Let us use these formulas to find the radius of a circle.

As, it is given that the  base of the refraction cup is a half circle.

So, to find the radius of the circle we have to we have to half the base.

This is because the radius is half of the diameter.

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Answer:

Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Given:

Total number of student = 28 student

Number of boys in the class = 11

Find:

Probability that student will be a girl = ?

Computation:

⇒ Number of girls in class = Total number of student - Number of boys in the class

⇒ Number of girls in class = 28 - 11

⇒ Number of girls in class = 17

⇒ Probability that student will be a girl = Number of girls in class / Total number of student

⇒ Probability that student will be a girl = 17 / 28

Answer:

0

Step-by-step explanation:

First, in order to subtract these fractions, we need the denominators to be the same number.

4/8 x 2 = 8/16

1/2 x 8 = 8/16

8/16 - 8/16 = 0. The doctor does not need any Robitussin at all

Answer:

$83.97

Step-by-step explanation:

Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!

Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.

Answer:

6*6*6*6

Step-by-step explanation:

Answer= 23,958

Step-by-step explanation: do [tex]6x6x6x6[/tex]

(the [tex]x[/tex] are multiplication signs)

Answer:

a) 70

Step-by-step explanation:

because it is a C, so it is the median score

Answer:

THere is no PICTURE
thank you :)

Step-by-step explanation:

Answer:

d = m / v.

Step-by-step explanation:

The density is a measure of the specific weight of a substance or object.

This is, the mass per unit of volume. Then, the average density is the ratio of the mass of a body to the volume it occupies in space:

The equation for density is:

[tex]\bar d=\dfrac{m}{V}[/tex]

being m the total mass in the volume, and V the volume.

Answer:

A

Step-by-step explanation:

The equation is density equal s mass divided by volume or D = M/V

Answer:

6 inches

Step-by-step explanation:

Answer:

Radius of the circle is of 3 inches.

Step-by-step explanation:

It is given that the area of the circle is 113.04,

Let the radius of the circle be of "a" units

=======================

From the properties of circle, we know : -

Area of circle = πr^2 , where r is the radius of the circle.

======================

Then, comparing the question with the identity :

= > πr^2 = 113.04 sq. inches

= > 3.14 x r^2 =  113.04 sq. inches

= > r^2 = 113.04 / 3.14 sq.inches

= > r^2 = 36 sq. inches

= > r = 6 inches

Hence,

r or radius of the circle is of 6 inches.

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Answer:

  [tex]a=\dfrac{\Delta v}{t}[/tex]

Step-by-step explanation:

Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...

  [tex]\boxed{a=\dfrac{\Delta v}{t}}[/tex]

The required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex]equation is a=delta v over t.

We know that,

Acceleration is known as the rate of change of velocity per unit time.

The velocity vs time graph is the graph plotted between the change in velocity with the change in time.

[tex]a=\dfrac{\Delta v}{t}[/tex]

Hence the required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex].

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Answer:

Treaty of Guadalupe Hidalgo (1848) This treaty, signed on February 2, 1848, ended the war between the United States and Mexico. By its terms, Mexico ceded 55 percent of its territory, including parts of present-day Arizona, California, New Mexico, Texas, Colorado, Nevada, and Utah, to the United States.

Step-by-step explanation:

Answer:

Mexico was forced to recognize the Rio Grande as Texas's southern border and to recognize Texas's annexation to the United States. Mexico also had to give up the territories of New Mexico and California. In return, the United States paid $15,000,000 for these territories and agreed to assume Mexican war debts to United States citizens in Texas totaling $3,500,000. The Treaty was ratified by the United States Senate after a bitter debate.

Step-by-step explanation:

Answer:

1st quadrant

Step-by-step explanation:

Both positve numbers for the points are 1rst quadrant. Both negative numbers for the points are 3th quadarant. If the x is negative then the quadrant is 2. If y is negative the quadrant is 4.

Answer:

3x-1

Step-by-step explanation:

6 +(-x) +2x + (-7) + 2x=

6-x +2x -7 + 2x =

6-7+ 2x+2x-x=

-1 + 3x=

3x-1

Answer:11,880 ways

Step-by-step explanation:

Given

There are 12 teams in a league

So First place there is only team (assuming no ties)

So, first place can be filled by [tex]12\ ways[/tex] as there are 12 teams

and similarly 2 nd Place can be filled in [tex]11\ ways [/tex]

and for 3 rd place there are [tex]10\ ways[/tex]

For fourth Place there are [tex]9\ ways[/tex]

So, total no of ways are [tex]=12\times 11\times 10\times 9[/tex]

[tex]=11,880\ ways[/tex]

Answer:

176π cm2

Step-by-step explanation:

Answer:

(f o h)(-3) = -1

Step-by-step explanation:

(f o h)(x) = -2(-x - 3) - 1

(f o h)(x) = 2x + 6 - 1

(f o h)(x) = 2x + 5

(f o h)(-3) = 2(-3) + 5

(f o h)(-3) = -6 + 5

(f o h)(-3) = -1

Answer:

PQ=20.7

OM=28

m<PMN=81 degrees

m<NOQ=22 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

3t-9<6

3t<6+9

or 3t<15

or t<5

-3t<12

-t<4

or t>-4

or -4<t

combining

-4<t<5

The value of t for the inequalities are,

1)  t < 5

2) t > - 4

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality are,

⇒ 3t - 9 < 6

⇒ - 3t < 12

Now, Simplify the inequality for t as;

1) ⇒ 3t - 9 < 6

Add 9,

⇒ 3t - 9 + 9 < 6 + 9

⇒ 3t < 15

Divide by 3;

⇒ t < 5

2) - 3t < 12

⇒ - 3t < 12

Divide by 3;

⇒ - t < 12/3

⇒ - t < 4

Multiply by - 1,

⇒ t > - 4

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Answer:

90 Pounds =

40,823.313 Grams

Step-by-step explanation:

Answer:

A. [tex]f(x) = -3(x +2)^2-2[/tex]

Step-by-step explanation:

There is a -3 being multiplied, making the function on the graph narrower from the original. The -3 also makes the function flip over the x-axis, since it's negative. There is also a 2 being added in (x + 2), meaning that it shifts left by 2 units. There is a -2, meaning that the function shifts 2 units down the graph.

Based on the information that applies to this function, this is the only function that represents f(x) on the graph given.

Answer:

174

Step-by-step explanation:

You should look at the mean and do this:

5*28 so now you know all the ages which is 140 now you do 140/29 and you get 4.8....... so you  can see that the answer is 174

Answer:

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 0.895, \sigma = 0.292, n = 37, s = \frac{0.292}{\sqrt{37}} = 0.048[/tex]

Find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

This is the pvalue of Z when X = 0.809.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.809 - 0.895}{0.048}[/tex]

[tex]Z = -1.79[/tex]

[tex]Z = -1.79[/tex] has a pvalue of 0.0367

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

Answer:

1. A

Because 0.08*24= $1.92

2. C

Because 0.09*15=$1.35

Answer:

1.A

2.C

Step-by-step explanation: