Please answer this correctly

The greatest common factor (GCF) of two different whole numbers will be one of the numbers when they are relatively prime.

The GCF also known as highest common factor can be defined as the highest or greatest factor that is common or present in between given two or more numbers.

The greatest common factor (GCF) of two different whole numbers will be one of the numbers when the two numbers are relatively prime, meaning they have no common factors other than one.

In conclusion, when their GCF is one, the only possible common factor is one, which means the numbers are relatively prime.

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9514 1404 393

Answer:

  (-18, 14), (-9, 9), (9, -1), (18, -6)

Step-by-step explanation:

Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...

  y = -5/9(-18) +4 = 10 +4 = 14

  y = -5/9(-9) +4 = 5 +4 = 9

  y = -5/9(9) +4 = -5 +4 = -1

  y = -5/9(18) +4 = -10 +4 = -6

The four solutions we have found are ...

  (-18, 14), (-9, 9), (9, -1), (18, -6)

9514 1404 393

Answer:

  A)  26°

Step-by-step explanation:

The angle x decreases at a rate that is 12 times the rate of increase of angle y.

  x = 360 -12y

We want x = 2y, so ...

  2y = 360 -12y

  14y = 360

  y = 360/14 ≈ 25.71 ≈ 26

The integer angle closest to y is 26°.

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

-7

Step-by-step explanation:

1st, regroup terms.

8x-2 = 7x -9

Next, subtract 7x from both sides.

8x-2-7x = -9

Next, Simplify 8x-2-7, to -2.

x-2 = -9

Add 2 to both sides.

x = -9 + 2

Simplify −9+2 to −7.

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

1. The domain will be {0, 1, 2, 3}. Thus, the correct option is D.

2. The relation is not a function. Thus, the statement is false.

1. In the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)}. Then the domain of the function is given as,

Domain = {0, 1, 2, 3}

Thus, the correct option is D.

2. For a function, the number of values of 'y' should be one for each value of 'x'.

At x = 2, the number of values of the function is two that is 1 and 5. So, the relation is not a function.

Thus, the statement is false.

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       A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.

f(x)=3(x−1)2

Find the given parabola's characteristics.

Lessen the steps you tap...

Vertex form is to be used, y=a(x−h)2+k,

to calculate the values of a, h, and k.

a=3

h=1

k=0

The parabola widens because the value of an is positive.

opens up

Find the (h,k) vertex. ( 1 , 0 )

Calculate p, the distance between the focus and the vertex.

To continue, tap...

1/ 12

Locate your focus.

To continue, tap... ( 1 , 1/ 12 )

By identifying the line that connects the vertex with the focus, you may determine the axis of symmetry.

x = 1

 The horizontal line that results from deducting p from the vertex's y-coordinate k depends on whether the parabola opens up or down. This line is known as the directrix.

y = k − p

Simplify the formula after substituting the known p and k values.

y = − 1 /12

Analyze and graph the parabola using its characteristics.

Direction: opens up

vertices: ( 1, 0 )

Focus: ( 1 , 1 /12 )

x = 1 is the symmetry axis.

Direction: y = /1 12.

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Answer:

90

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

a is 4 because 4 x 16=20 i hope this help

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️

Answer:

2m+5

Step-by-step explanation:

the x value is 2 and the y intercept is 5

a) The sample and the population are given as follows:

b) The numbers are classified as follows:

Population: Collection or set of individuals or objects or events whose properties will be studied.

Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

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Answer: the function's y-intercept, 64°F

Step-by-step explanation:

       Since "t" represents time, if we set t = 0 to find the initial temperature (0 minutes), we find the function's y-intercept.

       To find the initial temperature, we will set t = 0. When we do this, we are finding the y-intercept which is the same as the constant value.

\(y=-\frac{1}{40}t^2+t+64\)

\(y=-\frac{1}{40}(0)^2+(0)+64\)

\(y=64\)

   64°F

Answer:

\(f(-10) = -30\)

Step-by-step explanation:

f(x) = -\(x^{2}\) - 7x (notice the - symbol before the \(x^{2}\))

the first step is to plug in -10 for x

\(f(-10) = -(-10)^{2} - 7(-10)\)

\(f(-10) = -(100) +70\) (-10 * -10 is +100, -7 * -10 is +70)

\(f(-10) = -100 + 70\) (solved parentheses)

\(f(-10) = -30\)

Answer:

2x

Step-by-step explanation:

because it's2 so two ok carRy on

The value of a is 9.

A factor of polynomial P(x) is any polynomial which divides evenly into P(x).

For finding the factor of a polynomial we will perform following steps:

According to the given question.

We have a cubic polynomial \(x^{3} -4x^{2} +ax -2a\)

Also, x - 3a is a factor of the given polynomial.

⇒ \(x - 3 = 0\)

⇒\(x = 3\)

⇒ 3 is the one solution of the given cubic polynomial.

If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).

So, substitute the value of x in the given polynomial.

\((3)^{3} -4(3)^{2} + a (3) - 2a = 0\)

⇒\(27 -4(3)^{2} +a(3) -2a=0\)

⇒\(27 - 36 + 3a - 2a= 0\)

⇒\(-9 + a = 0\)

⇒ \(a = 9\)

Therefore, the value of a is 9.

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer:

He will get back 11 dollars.

Step-by-step explanation:

7 twenty dollar bills is just 7 x 20. That's equal to 140. Now your gonna subtract 140 - 129. You end up with 11 dollars!

Answer:

52.3

Step-by-step explanation:

32+67+84= 183

183-(72.7 + 58)= 52.3

Answer:

The graph is in the second attached image.

Step-by-step explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

And at last, we have in green color the second derivative:

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

Answer:

Test statistic t = 3.12

P-value = 0.001

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year (Gina's claim).

Then, the null and alternative hypothesis are:

\(H_0: \mu=55000\\\\H_a:\mu> 55000\)

The significance level is 0.05.

The sample has a size n=61.

The sample mean is M=56500.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3750.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3750}{\sqrt{61}}=480.138\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{56500-55000}{480.138}=\dfrac{1500}{480.138}=3.12\)

The degrees of freedom for this sample size are:

df=n-1=61-1=60

This test is a right-tailed test, with 60 degrees of freedom and t=3.12, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>3.12)=0.001\)

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Answer:

1 of 9

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Remember that

\((a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} \)

So

\((2x) {}^{2} = 4 {x}^{2} \)

So the first blank is 4

\(2ab = 2(2x)(3) = 12x\)

So the second blank is 12

And finally

\(3 {}^{2} = 9\)

So the final blank is 9.

Answer: ( 1.5, -3)

Step-by-step explanation:

You need to just look at the x and y axis and you see that the x axis is at 1.5 and the y axis is at -3.

Answer:

Lateral Area = 13 x 13 x 4 = 676 ft²

Surface area = 13 x 13 x 6 = 1014 ft²

Volume = 13 x 13 x 13 = 2197 ft³

we have that

the x-coordinate of A is -6

the x-coordinate of E is 6

so

the midpoint of AE is

(-6+6)/2=0

therefore

the midpoint is point C

Answer:

7.2

Step-by-step explanation:

Distance between (4, 3) and (8, 9):

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( d = \sqrt{(8 - 4)^2 + (9 - 3)^2} \)

\( d = \sqrt{(4)^2 + (6)^2} \)

\( d = \sqrt{16 + 36} \)

\( d = \sqrt{52} = 7.2 \) (nearest tenth)

Answer:

\(d = \frac{w}{48}\)

If  \(\frac{1}{48} \\\) is constant, say k

Then,

\(d = kw\)

∴ d ∝ w

Hence, weight is proportional to the density

Step-by-step explanation:

From the question,

Let w denote the weight of the rock in pounds

s denote the size of the rock in cubic inches and

d denote the density of the rock in pounds per cubic inch.

First, we will write the equation connecting w, s, and d.

We get

\(density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }\)

That is,

\(d = \frac{w}{s}\)

Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write

\(d = \frac{w}{48}\)

If  \(\frac{1}{48} \\\) is constant, say k

Then,

\(d = kw\)

∴ d ∝ w

Hence, density is proportional to the weight OR weight is proportional to the density