For each of the following questions solve for the variable.

Answer:

Part A

7x² + 5xy – 3

Part B

2x² – 8xy + 8

Step-by-step explanation:

Part A

the canned food collected so far is the sum of the canned food the three friends have by combining the expression

5xy + 2 + 6x² – 5 + x²

= 6x² + x² + 5xy + 2 – 5

= 7x² + 5xy – 3

Part B

The total of cans the friend need to collect to meet their goal is the canned food collected so far minus their targeted goal

= 9x² – 3xy + 5 – (7x² + 5xy – 3)

= 9x² – 3xy + 5 – 7x² – 5xy + 3

= 9x² – 7x² – 3xy – 5xy + 5 + 3

= 2x² – 8xy + 8

i hope this helps

Answer:

A

(will be continued)

Step-by-step explanation:

this is an exponential graph

The original mass is 7.71 because it is being multiplied by the percentage.

0.9333 in percentage form is 93.33

Since it is being multiplied, by the original mass this means that 93.33% of it is the amount being left over.

100% - 93.33% = 6.67%

this is the decrease in the amount of the thing

***tell me if i explained it clearly i'm not sure if i did

In the triangle EFG, ∠E≅∠G, GE = 17 units and FG = 10 units, then the length of the side EF is 10 units

The given triangle EFG

The length of the side GE = 17 units

The length of the side FG = 10 units

The measure of angle E is equal to the measure of angle G

The equation will be

∠E≅∠G

Therefore the triangle is Isosceles triangle

The length of the side FG will be equal to the length of the side FE

The length of the side EF = The length of the side FG = 10 units

Therefore, the length of the side EF is 10 units

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Answer:

2x2x2x3

Step-by-step explanation:

(a) The mean of Y is 100 meters, and the standard deviation of W is approximately 0.7348 meters.

(b) The mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.

a) To find the mean and standard deviation of Y, where Y = (X₁ + X₂) / 2, we use the properties of the mean and variance of a sum of independent random variables.

Mean of Y:

The mean of Y is simply the average of the means of X₁ and X₂, as the measurements are independent and have the same true height of 100 meters.

Mean(Y) = (Mean(X₁) + Mean(X₂)) / 2 = (100 + 100) / 2 = 100 meters

The standard deviation of Y:

When adding or subtracting independent random variables, the variances add up. Since the measurements are independent, we can use the formula:

Var(Y) = Var((X₁ + X₂) / 2) = (Var(X₁) + Var(X₂)) / 4

Now, calculate the variance of Y:

Var(Y) = (1.2² + 0.85²) / 4 ≈ 0.54

Standard deviation(Y) = √Var(Y)
                                    ≈ √0.54
                                      ≈ 0.7348 feet

b) Now, let's find the mean and standard deviation of W, where W = (1/3)X₁ + (2/3)X₂.

Mean of W:

Mean(W) = (1/3) * Mean(X₁) + (2/3) * Mean(X₂)
               = (1/3) * 100 + (2/3) * 100
               = 100 meters

The standard deviation of W:

To calculate the standard deviation of W, we need to find the variance of W and then take its square root.

Var(W) = (1/3)² * Var(X₁) + (2/3)² * Var(X₂)
            = (1/9) * 1.2² + (4/9) * 0.85²

Now, calculate the variance of W:

Var(W) = 0.0181 + 0.1956 =0.481

Standard deviation(W) = √Var(W)
                                     ≈ √0.481
                                      ≈ 0.6935 meters

So, the mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.

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Answer:

176cm

Step-by-step explanation:

therefore r=13÷2 =r=7.5. and pieces =22÷7

then we substitute

22÷7×(7.5 ×7.5)

=3.14×56.25

=176.58

to the nearest whole =176cm

There is a dramatic change in desert temperatures from day to night because B. of the lack of water.

It should be noted that because the air in the desert is so dry, heat escapes quickly at night, the temperature can vary dramatically from day to night. The temperature during the day averages 38°C, while at night it can drop to -4°C in some deserts. The temperature varies greatly depending on where you are in the desert.

During the day, the sand's radiation from the sun's energy superheats the air, causing temperatures to rise. And, because the desert air is so dry, heat escapes quickly at night, according to NASA. The desert biomes are the driest of all biomes.

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Answer:

Step-by-step explanation:

It is not a prime factorization because the term 8 is common multiplied by 2 and the line has 2 elevated to 3 that itselt is 8.

A prime factorization should be stay equal without any commom multiples.

Answer: $14.18

Step-by-step explanation:

Because total change is the amount the cashier is giving back to us,

we can do

$ amount given - $ price of order = $ total change

So:

50 - 35.82 = $14.18

The cashier will give us $14.18 back in change.

The coordinate (4, 3) is the solution of the following system of equations:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution implies that the coordinate is the: point of intersection.

The solution to a system of equations are the coordinate of the point where the two lines that represent the equations of the system intersect each other. The coordinate of x and the coordinate of y, when plugged into  any of the equations would be true.

The graph of the system of equations, y = x - 1 and y = 1/4x + 2 shows that both equations intersect at the point with the coordinate (4, 3) [see the graph in figure 1].

Also, the graph in figure two shows that y = 1/2x + 1 and y = -x + 7 also intersect at (4, 3).

Therefore, we can state that, the system of equations with (4, 3) as the solution are:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution means point of intersection.

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The inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500

Which inequality represents all possible combinations?

The given parameters are:

Spending = At most $4,500

Cost of monitor (x) = $250 per unit

Cost of keyboard (y) = $50 per unit

The total spending is represented as

Total = 250 * x + 50 * y

This gives

Total = 250x + 50y

The spending is at most $4,500 i.e less than or equal to

So, we have

250x + 50y <= 4500

Hence, the inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500

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Answer:

Step-by-step explanation:

You want the steps involved in factoring 3x² +13x -10 by grouping.

To fill in the blanks, you need to know the product of the first and last coefficients, and the factor pairs of that product that have a sum equal to the middle coefficient.

   3(-10) = -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. The sum of interest is ...

  -2 + 15 = 13

These are the values that go in the first pair of blanks.

  = 3x² -2 x + 15 x -10

We want to identify the common factor for each pair of terms:

  = x (3x -2) + 5 (3x -2)

Finally, the common factor (3x -2) is removed and we have ...

  = ( x + 5 )(3x -2)

Answer:

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Step-by-step explanation:

The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.

For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Answer:

7.5%

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

the totally possible cases is everybody in the survey :

24+18+14+10+8+6 = 80

the desired cases are everybody having potatoes a favorite food : 6

the probability the picked person prefers potatoes is

6/80 = 3/40 = 0.075 = 7.5%

Answer: x= (−∞,∞)

Step-by-step explanation:

3+8x+6 = 5(x+2) + 3x-1

9+ 8x = 5x +10 + 3x -1

9 + 8x = 8x +9

Subtract nine on both sides

8x= 8x

 x = Any number!

Answer:

a) 45

b) 54

Step-by-step explanation:

a) To be able to round up to the nearest 10, the number in the "ones column" needs to be 5 at the minimum.

You could argue it could be a decimal point however, you shouldn't really have a decimal of a bead ( it's possible but it over complicates the answer ) and, it's to the nearest 10, not nearest one decimal point for example.

Therefore, the min is 45 beads

b) ( The above poster was correct oops, I made a silly mistake )

The max is 54 beads as if anything in the ones column is under 4, you can't round up to the nearest 10. Hence it remains as 50 when rounding

Therefore, the max is 54 beads

Answer: $18.30

Step-by-step explanation:

The sprinkler cost 9.23, and the change is 9.07, so adding both of them equal $18.30

Answer 18.3

eeeeeeeeeeeeeeeeeeeeeeee

Answer:

Step-by-step explanation:

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)

=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6

= -4x⁴+11x³-5x²+6

Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

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The correct statement regarding the linear function y = 3x + 5 is given as follows:

The line passes through the ordered pair (0,5) and has a slope of 3.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

The slope and the intercept are given as follows:

In this problem, the function is defined as follows:

y = 3x + 5.

Hence the coefficients have the values given as follows:

m = 3, b = 5.

The statements are given by the image shown at the end of the answer.

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Answer:

34 dollars and 6 cents

Step-by-step explanation:

1 percent = 0.26

0.26 x 31 = 8.06

26 + 8.06 = 34 dollars and 6 cents

I believe it is 34.06

As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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The average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.

What is average rate of change in stock?

We need to find the average rate of change of stock from 1 hour to 6 hours.

The value of stock was $11 in hour 1 and $10 in hour 6.

Average rate of change = Δy/ Δx

= $10 - $11 / 6-1

= - $1/5

= -$0.20 /hr

Hence, the average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.

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Answer:

Lateral Surface Area = 1848 m^2 (does not include the top and bottom)

Step-by-step explanation:

Vol Cylinder = pi*r^2 *h  

h = (3/2)r

Vol = pi*r^2((3/2)r)                     [We are told that the volume is 12,936 m^3]

pi*r^2((3/2)r) = 12,936 m^3  

pi*(3/2)*(r^3) = 12,936 m^3

pi*r^3 = (12,936 m^3)*(2/3)

pi*r^3 = 8,624 m

r^3 = (8,624 m)/(3.14)

r^3 = 2745.1

r = 14.0 m

Lateral Surface = 2*(pi)*r*h  [Lateral is just the curved portion of the right cylinder.

Lateral Surface Area = 2*(3.14)*(14.0)(21.0)

Lateral Surface Area = 1848 m^2

Answer:

3.75mm

Step-by-step explanation:

4.5/3=1.5

1.5(2.5)=3.75

the ratios are the same

The coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The graph is shown in the picture.

From the picture the coordinates are:

I(-5,0), Y(0, 2), and T(4, 4)

The transformation rule:

(x, y) --> (y, x)

I(-5,0) --I'(0, -5)

Y(0, 2) - -> Y'(2, 0) and

T(4, 4) --> T'(4, 4)

Thus, the coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

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Answer:

9 4/6

Step-by-step explanation:

5 + 4 = 9

1/6 + 3/6 = 4/6

9 4/6

Hope this helps! :)

Answer: 11.5

Step-by-step explanation:

[tex]\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5[/tex]

A small change in x can change the conclusion of our test.

Given :

how would your conclusion change if your sample mean had been 1.355 mg/l.

t - test :

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

if x = 1.355

t = 1.355 - 1.3 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 * [tex]\sqrt{30}[/tex] / 0.18

= 1.67

df = n - 1

= 30 - 1

= 29

P - value from t table :

p = 0.525

fail to reject [tex]H_0[/tex]

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Full question :

The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

        y = mx

        m = y/x

        [m] is called constant of proportionality.

Given is a graph as shown in the figure.

The graph represents a proportional relationship. The possible coordinates that can be plotted are (x, y) and not (y, x). Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

Therefore, only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

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