Factor using the GCMF.
6x4 + 12x³ + 15x²
2x^3 + 4x^2 + 5x
3(2x^4 +4x³+5x²)
3x² (2x² + 4x + 5)
3x^2

Answer:

-7 7/10

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

All it is saying to do is to do -5x-5x-5x-5

Answer:

625

Step-by-step explanation:

–5^4 is simply -5 times -5 4 times

the negatives cancel each other

out

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Answer:

22.85 west

Step-by-step explanation:

Answer:

7.35 miles east.

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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The missing values are:

angle DGE = 45 degrees

angle EDG = 85 degrees

FD = 10

GD = 10√2

EG = (20 + 13√3) / 2

The missing sides in the figure is solved as follows

angle DGE = angle BAG = 45 degrees (alternate angles are equal)

angle EDG = angle ADC (vertical angles are equal)

angle ADC + 45 + 50 = 180 (sum of angles in a triangle)

angle ADC = 180 - 50 - 45

angle ADC = 85 degrees

Since DGE = 45 degrees and FG = 10

tan 45 = FD / FG

tan 45 = FD / 10

FD = 10

solving for GD

GD² = FD² + FG² = 10² + 10² = 200

GD = 10√2

solving for EG

EG = EF + FG

cos 50 = EF / 13

EF = 13 cos 50 = 13√3 / 2

EG = EF + FG = 13√3 / 2  + 10 = (20 + 13√3) / 2

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Answer:

you can't graph it

Step-by-step explanation:

I hope this helps!❆

\(\textsf{Hey there!}\)

\(\mathsf{81^2=81\times81\rightarrow\bf{6,561}}\)

\(\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}\)

\(\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark\)

\(\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\dfrac{\frak{LoveYourselfFirst}}{:)}\)

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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Trigonometry deals with the application of some functions so as to determine the value of a quantity. The height of the tree is 5.96 m.

The given question can be solved by the application of some trigonometric functions. Let distance from the tip of the shadow of the tree to where Aria stands be represented by s, so that;

s = 16.35 - 12.1

  = 4.25 m

s = 4.25 m

Also, let the angle formed by the line from the tip of the tree with the tip of the shadow be θ, so that;

Tan θ = \(\frac{opposite}{adjacent}\)

          = \(\frac{1.55}{4.25}\)

          = 0.3647

θ = \(Tan^{-1}\) 0.3647

  = 20.037

θ = \(20.04^{o}\)

The height, h, of the tree can be determined by;

Tan \(20.04^{o}\) = \(\frac{h}{16.35}\)

h = Tan \(20.04^{o}\) x 16.35

  = 5.9638

h = 5.96 m

Thus, the height of the tree is 5.96 m.

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A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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The text is a mathematics question that asks to calculate two statistics from a given data set. The data set consists of 10 numbers that represent the number of employee absences each week over a period of 10 weeks. The mean is the average of the data set, which is found by adding up all the numbers and dividing by the number of data points. The standard deviation is a measure of how much the data varies from the mean, which is found by using a formula that involves squaring the differences between each data point and the mean, adding them up, dividing by the number of data points, and taking the square root. To answer the question, you need to use these formulas and a calculator. The answer is:

Mean = (5 + 5 + 1 + 2 + 2 + 4 + 7 + 4 + 5 + 5) / 10 = 4 Standard deviation = √[(5 - 4)² + (5 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (4 - 4)² + (7 - 4)² + (4 - 4)² + (5 - 4)² + (5 - 4)²] / 10 = √16 / 10 = √1.6 ≈ 1.26

Hopefully this helps you, so bye!

Answer:

$6

Step-by-step explanation

$32 is the total(100%)

in order to find what she needs to tip, you have to divide by 5 because 100% / 5=20%

now, to find 20% of 32, you divide 32 by 5.

32 you can just round to 30, so that you can divide it by 5.

30/5=$6

you could've rounded the total up to 35, but 30 was closer, therefore $6 was the closest whole number tip rosita could've left.

hope this helps

Answer:

A.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(-12) + (-8) +30

-(12+8)+30

-20 + 30

10

Answer:

20

Step-by-step explanation:

The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.

The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:

Expected value = (Number of trials) x (Probability of success in one trial)

Expected value = 100 x 0.2

Expected value = 20

Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.

Answer: 20 i took the test

Step-by-step explanation:

Using the concept of parallel lines cut by transversal, it is found that the relation is:

\(x = y\)

--------------------------

\(w + z = 180\)

\(w + x = 180\)

\(w = 180 - x\)

\(w + y = 180\)

\(180 - x + y = 180\)

\(x = y\)

Thus, x = y is the correct option.

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Answer:

Part A:

Creation of four blocks of two volunteers:

PART A: Skin Dryness based on age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

The criteria for creating the blocks is age.  The gender is not a material consideration.

Part B:

Creation of four blocks of two volunteers:

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

The criteria for creating the four blocks are age and gender.  Each gender is included in each group.

Part C:

Randomly assigning treatment to groups without regard to their group dynamics may not be the most efficient.  The new treatment formula should be assigned to one of the young groups and one of the old groups, using stratification.  This will help to explain if age or gender causes skin dryness or not.

Step-by-step explanation:

a) Data and Calculations:

Volunteer     Gender     Age, year

1                      Male          23

2                     Female     25

3                     Female     51

4                     Female     24

5                     Male         22

6                     Male         53

7                     Male         52

8                     Female    56

PART A: Skin Dryness based on Age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

6                     Male        53

8                     Female    56

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

Answer:

Part A:

1 male 23

4 female 24

2 female     25

5 male 27

3 female 51

7 male 52

6 male 53

8 female 56

Part B:

4 female 24

2 female 25

1 male 23

5 male 27

3 female 51

8 female 56

7 male 52

6 male 53

Part C: The outside analysis firm did not assign the treatments properly. They should give half of each block the new formula and the other half the current formula.

Step-by-step explanation:

10) a. 130

Step-by-step explanation:

\(180 - 50 = 130\)

Notice that

67 = 35 + 32 = 35 + 2•16

and

83 = 35 + 48 = 35 + 3•16

so 67 is +2 standard deviations from the mean, and 83 is +3 standard deviations from the mean.

The 68-95-99.7 rule says that, for any normal distribution,

• approximately 95% of the distribution lies within 2 s.d. of the mean

• approx. 99.7% lies within 3 s.d. of the mean

This is to say,

• P(35 - 2•16 < X < 35 + 2•16) = P(3 < X < 67) ≈ 0.95

• P(35 - 3•16 < X < 35 + 3•16) = P(-13 < X < 83) ≈ 0.997

Subtracting these gives

P(-13 < X < 83) - P(3 < X < 67) ≈ 0.047

This subtraction effectively removes the within-2-s.d. part of the distribution from the within-3-s.d. part. In other words, we're now talking about the part of the distribution between -3 and -2 s.d. from the mean *and* between +2 and +3 s.d. from the mean. So, this equation is the same as

P(-13 < X < 3) + P(67 < X < 83) ≈ 0.047

Normal distributions are symmetric about their means, so the two probabilities here are equal, and in particular

2 P(67 < X < 83) ≈ 0.047

so that

P(67 < X < 83) ≈ 0.0235

Answer:

y = (-5x + 12)/-7

Step-by-step explanation:

5x - 7y = 12

-7y = -5x + 12

I now divide both sides by -7.

y = (-5x + 12)/-7

Answer:

0.04997916927

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

arcsin(0.5) deg

= 30

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:

All you have to do is to apply the exponent rule.

Step-by-step explanation:

\(13^{2}\)=169

\(7^{2}\)=49

\(\frac{169}{49}\) is the answer

Answer:

4π

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius).

Diameter = 32.

Circumference = π (32) = 32π.

Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.

Answer:

Story Problems Once you know your basic operations (addition, subtraction, multiplication, division), you will encounter story problems, also known as word problems, which require you to read a problem and decide which operation to perform in order to get the answer.

Step-by-step explanation:

Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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