Tamara says she used the GCF to factor the expression 21x 56xy as 7(3x 8xy). Is she correct? Explain.

Answer:

6x-10

Step-by-step explanation:

2(3x-5)

2*3x   2*-5

6x-10

Answer:

She has 27 quarters

Step-by-step explanation:

Let:

x = Number of nickels

y = Number of quarters

US$0.05 = 5 cents = monetary value of a nickel

US$0.25 = 25 cents = monetary value of a quarter

                      x + y = 68

                     x = 68 - y  ---- --------  (equation i)

                0.05x + 0.25y = 8.80----- (equation ii)

These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.

Substitution method:

Substitute (equation i) into (equation ii) to solve for y:

0.05(68 - y) + 0.25y = 8.80

Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:

= 3.4 - 0.05y + 0.25y = 8.80

= 0.25y - 0.05y = 8.80 - 3.40

= 0.20y = 5.40

= y = \(\frac{5.40}{0.20}\)

∴ y = number of quarters = 27

Answer:

C.120

Step-by-step explanation:

5×4×3×2×1=120 hope its right

We want to find a system of inequalities that models the given situation.

We will find the system:

a + c ≤ 18

a ≥ 6

c ≤ 2*a

First we define the variables:

The given information is:

The manager needs one helper at a time for at most 18 hours.

From this we can write:

a + c ≤ 18

Axel wants to work at least 6 hours.

a ≥ 6

The manager wants carl to work no more than twice as many hours as Axel.

c ≤ 2*a

The system is then:

a + c ≤ 18

a ≥ 6

c ≤ 2*a

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The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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Answer: 62cm^2

Step-by-step explanation: 70-8=62

1. True. The PESTLE framework categorizes environmental influences into six main types: Political, Economic, Sociocultural, Technological, Legal, and Environmental factors.

These factors help analyze the external macro-environmental forces that can impact an organization's strategies and operations. 2. False. The PESTLE framework analyzes the macro-environmental factors and not the micro-environment of organizations. The micro-environment is examined through other frameworks like Porter's Five Forces, which focus on specific industry dynamics and competitive factors.

3. True. Economic forces, such as inflation, interest rates, exchange rates, and economic growth, are one of the types included in the PESTLE framework. Economic factors play a significant role in shaping business decisions and strategies.

4. False. An organization's strengths are not part of the types studied in the PESTLE framework. Strengths, weaknesses, opportunities, and threats (SWOT) analysis is a separate framework used to assess internal strengths and weaknesses of an organization.

5. True. The PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies. By considering the political, economic, sociocultural, technological, legal, and environmental factors, organizations can gain insights into the external forces that may impact their strategies and make informed decisions.

The PESTLE framework categorizes environmental influences into six main types, including political, economic, sociocultural, technological, legal, and environmental factors. It analyzes the macro-environmental forces, not the micro-environment of organizations. Economic forces are one of the types studied in the framework, while an organization's strengths are not included. The framework provides a comprehensive list of influences on the success or failure of strategies, allowing organizations to consider various external factors in their decision-making process.

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Answer: 45

Step-by-step explanation:

Answer:

So lets do this the ole fashion way the simple ole 1-step equation

Step-by-step explanation

x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........

x=7

I think

Answer:

It is A and D

The city streets are overcrowded with cars

There is a lot of noise pollution

Step-by-step explanation:

The correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.

A government is the system or group of people governing an organized community, generally a state

The following statements represent possible problems:

The city streets are overcrowded with cars.

The noise level is raising.

And the following statements are possible solutions:

More money from the city government should go to public transportation.

A subway system should be built.

People should be encouraged to carpool to work and school.

Therefore, the correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.

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Answer:

x=1

y=-3

z=-7

Step-by-step explanation:

See solution below

Explanation:

a) 5x - 7 ≤ -2

collect like terms:

5x ≤ -2 + 7

5x ≤ 5

Divide through by 5:

x ≤ 1

From the graph above, the inequality has a solution.

b) 2/3b > -8

Cross multiply:

2 > -8(3b)

2 > -24b

Divide through by -24:

Note: when we divide an inequality by a negative number, the inequality sign changes.

2/-24 < b

-1/ 12 < b

Hence, b > -1/12

Note: To make it easier to graph, I represented b with x

From the graph above, the inequality has a solution.

c) 3w - 7 - w < 2w + 4

2w - 7 < 2w + 4

collect like terms:

2w - 2w < 4 + 7

0 < 11

Note: To make it easier to graph, I represented b with x

From the graph, the solution is for all real numbers.



Answer:

72 dollars

Step-by-step explanation:

all you do is multiply

The length of the chord is approximately 7.62 inches.

Let's call the center of the circle point O, the radius of the circle 5 inches, the point where the chord intersects the radius point A, and the point where the chord intersects the circle point B.

Since the chord is perpendicular to the radius, we know that angle AOB is a right angle. Also, since OA is 5 inches and AB is 2 inches, we can use the Pythagorean theorem to find the length of OB

OB^2 = OA^2 + AB^2

OB^2 = 5^2 + 2^2

OB^2 = 25 + 4

OB^2 = 29

OB = sqrt(29) ≈ 5.39 inches

Now that we know the length of OB, we can use it to find the length of the chord. Let's call the length of the chord CD, where C and D are the points where the chord intersects the circle. Since OB is perpendicular to CD, we can use the Pythagorean theorem again to find the length of CD

CD^2 = 2OB^2

CD^2 = 2(29)

CD^2 = 58

CD = sqrt(58) ≈ 7.62 inches

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The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.

In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).

The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.

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Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

Step-by-step explanation:

Because this figure is dilated by the factor of 3 we can infer that the figure before dilation was 3 times bigger than the figure now.

so is AC is 5 now then AC before must have been 15

5*3=15

If the angle of A is 37 now then it must have been 111

37*3=111

I'm not 100% sure about this but I hope it helped :)

Answer:

Hey  you once commented on the question if you knew horsleyjaydyn and you said something about her being fake could tell me what you said she was old something don't remember

Step-by-step explanation:

Answer:

not linear since all first differences are not equal

Step-by-step explanation:

To find the first differences, subtract each y value from the next y value.

Use only y values.

here are the 4 first differences you need to calculate.

1 - 0 = 1

4 - 1 = 3

9 - 4 = 5

16 - 9 = 7

Now you place them in the appropriate column in the table.

x   y      first difference

0   0       1

1   1         3

2   4       5

3   9       7

4   16

If the first differences were all equal, the function would be a linear function.

In this case, the first differences are all different, 1, 3, 5, 7, so the function is not linear.

Answer:

-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4

Step-by-step explanation:

Answer:

In order of least to greatest.  -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4

Step-by-step explanation:

Answer:

(2,3) is the answer

Step-by-step explanation:

\(5x - 4y = - 2.....equation1 \\ 2x + 4y = 16 \\ 4y = 16 - 2x......equation2 \\ now \: substituting \: the \: value \: of \: 4y \: in \: eq1 \\ 5x - (16 - 2x) = - 2 \\ 5x - 16 + 2x = - 2 \\ 7x = - 2 +16 \\ x = \frac{14}{7} \\ x = 2 \\ putting \: the \: value \: of \: x \: in \: eq2 \\ 4y = 16 - 2x \\ y = \frac{16 - 2 \times 2}{4} \\ y = \frac{12}{4} \\ y = 3\)

Answer:

m= 4/3

Step-by-step explanation:

Answer:X=12

Step-by-step explanation:

We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:

B.(-1,4) is the answer of this question.

#100% conform

the slope of a line perpendicular to x + 2 - y = 16 is -1.

To find the slope of a line perpendicular to another line, we first need to find the slope of the original line.

To do this, we can rearrange the equation x + 2 - y = 16 by subtracting x and 16 from both sides:

y = -x + 14

We can then divide both sides by -1 to get y by itself:

y = x - 14

This is the equation of the original line in slope-intercept form, y = mx + b, where m is the slope of the line. In this case, the slope is 1.

To find the slope of a line perpendicular to this one, we can use the fact that the product of the slopes of two perpendicular lines is -1. Therefore, the slope of a line perpendicular to this one is the negative reciprocal of 1, which is -1.

what is slope?

Slope is a measure of the steepness of a line. It is defined as the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between any two points on the line.

In other words, the slope of a line tells us how much the y-coordinate changes when the x-coordinate changes by a certain amount. A positive slope means that the line is going up from left to right, while a negative slope means that the line is going down from left to right. A slope of zero means that the line is horizontal, and there is no vertical change.

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Answer: (5) D       (6) D         (7) B        (8) B        (9) C

Step-by-step explanation:

5)  2 - 3n < 17      and     6n + 4 < 58

   -2           -2                        -4   -4  

       -3n  <  15                 6n      <  54

    ÷ -3    ↓ ÷ -3             ÷6          ÷6  

          n  >   -5     and       n      <   9

                    -5 <  n < 9

6) 6x + 5 > -49     and     7 - 4x ≥ -21

          -5   -5                 -7           -7

   6x       >  -54                   -4x ≥  -28

  ÷6          ÷6                 ÷ -4  ↓  ÷ -4

      x      >  -9       and           x ≤  7

                      -9 < x ≤ 7

7)  -69 ≤ 6x - 9 ≤ -45

     +9        +9   +9  

     -60 ≤ 6x     ≤  -36

    ÷6     ÷6         ÷6  

    -10  ≤   x     ≤  -6

8)  -93 ≤ 9n - 3 < -84

    +3         +3    +3

    -90 ≤ 9n      <  -81

    ÷9     ÷9        ÷9  

    -10  ≤    n     <  -9  

9)  4k - 6 ≤ -6 + 6k       or     -3k - 5 ≥ -2k + 10

  -6k               -6k             +2k       +2k        

    -2k - 6 ≤ -6                         -k - 5 ≥         10

           +6   +6                           +5            +5  

    -2k       ≤  0                         -k      ≥         15    

  ÷ -2      ↓ ÷ -2                    ÷ -1    ↓        ÷ -1  

        k     ≥    0            or            k   ≤      -15

Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

The number of smartphones the vendor buys is 21 and the number of tablet computers the vendor buys is 15.

What are Simultaneous Equations?

Let the number of smartphones be x and the number of tablet computers be y.

Given that the vendor buys 36 smartphones and tablet computers for $28,065.

\(x+y=36\)    -----(1)

\(\implies y= 36-x\)    -----(2)

It is also given that smartphone costs $895 and a tablet computer costs $618.

\(\implies 895x+618y=28065\)   -----(3)

Now, substituting (2) in (3), we get

\(895x+618(36-x)=28065\\\implies 895x+22248-618x=28065\\\implies 277x+22248=28065\)

Simplifying, we get

\(277x=28065-22248\\\implies 277x=5817\\\implies x=21\)

So, the number of smartphones the vendor buys is 21.

\(y=36-x\\\implies y=36-21\\\implies y=15\)

So, the number of tablet computers the vendor buys is 15.

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The correct answer is: 0, -3, and 3. At  0, -3, and 3 of x does fx) x4-18x2 have a critical point where the graph changes from decreasing to increasing.

To find the critical points where the graph of the function f(x) = x^4 - 18x^2 changes from decreasing to increasing, we need to find the values of x where the derivative of the function is equal to zero or does not exist.

Let's find the derivative of f(x) with respect to x:

f'(x) = 4x^3 - 36x

To find the critical points, we set the derivative equal to zero and solve for x:

4x^3 - 36x = 0

Factor out 4x:

4x(x^2 - 9) = 0

Now we have two factors:

1) 4x = 0, which gives x = 0

2) x^2 - 9 = 0, which gives x = ±3

So, the critical points where the graph changes from decreasing to increasing are x = 0, x = -3, and x = 3.

Therefore, the correct answer is: 0, -3, and 3.

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