You might need: Calculator h(r) = 72 +11r - 26 1) What are the zeros of the function? Write the smaller r first, and the larger r second.

We can rewrite the next equations in the slope-intercept form:

The first equation:

The second equation:

As we can see, the slope of the first line is m = -3/4, and the slope of the second line is m = -2. Then, since the slope is different, these lines are not parallel (Option C).

B'' = (-7, 8)

The points of the triangle are:

A = ( - 6, 3 ) B = ( - 4, 7 ) C = ( - 2, 3 )

The first transformation:

2 units up and 3 units right

B' = (-4+3, 7+2)

B' = (-1, 9)

Second transformation:

1 unit down, 6 units left

B'' = (-1-6, 9-1)

B'' = (-7, 8)

Given:

The unpaid balance after the 26 payments is $3,733.55.

Therefore, the interest for payment 27 will be

Evaluating

Hence, the interest for payment 27 is $522.70.

If f is an even function, then f can't have an inverse, because even functions don't have inverses. Therefore the correct answer is A.

The correct option is Yes, which is option A

Why?

The reason is that the probability that marble is removed from the box does not affect the probability that a marble is drawn from the same box. i.e the two events do not affect each other

2w is the part of two factors.

The part of the expression is a product of two factors.

The expression we have is:

[tex]1 + \frac{z}{3}+2w[/tex]

Let's analyze the parts of this expression.

The first term of the expression is a constant term: 1.

1 is not a product of two factors, so this is not the answer.

The second term of the expression is: z/3.

This part of the expression is a division or quotient between z and 3. Thus, since it is a division and not a product, this is also not the answer we are looking for.

The third term of the expression is: 2w

In this case, the term 2w is a product between "2" and "w". Thus, 2w is a product of two factors. The parts of this product are 2 and which when multiplied result in 2w.

Hence the answer is 2w is the part of two factors.

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To answer this question, we need to find the unit rate in this case. For this, we need to divide the given liters by the hours. Then, we have:

Then, the dairy produces 4.05 liters per hour.

Using trigonometric equations we calculate the length of the guy wire from the tower is approximately 1306.5 feet .

The given information about the Tower are :

ED = 175 feet

∠DAB = 57°

∠CED = 30°

Now in the triangle ADB we have ∠ABD = 90° (refer to diagram below)

Therefore ∠ADB = 180° - (57° + 90°) = 33°

Now ∠ EDC = 180° - 33° = 147 °

Hence in triangle EDC ,

∠ECD = 180° - (147°+ 30°) = 3°

Now we will use the law of sines to find the height of the tower.

We know from the law of sines that in ΔEDC

[tex]\frac{ED}{sin\angle C} =\frac{CD}{sin\angle E} =\frac{CE}{sin\angle D}[/tex]

now we will use this to find the height of the tower which is CD

∴ CD = sin °30 × 175 ÷ sin 3°

CD = 1671.8907...

CD ≈  1671.9 feet.

length of the guy wire = CE

∴CE = sin 157° × 175 ÷ sin 3°

CE = 1306.5195...

CE ≈ 1306.5 feet

Hence the height of the tower is 1671.9 feet and the length of the guy wire is 1306.5 feet.

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the amount of money a worker earns is directly proportional to the number of hours worked.at this rate.thag worker makes $104 in an 8 hour shift.weite a direct variation equation that relates the earnings (e) of the worker to the number of hours (n) worked. use the correct lowercase variables given ,and use no spaces​

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form e=kn

In this problem we have

e -----> amount of money a worker earns

n -----> number of hours worked

k is the constant of proportionality

k=e/n

Find the value of k

we have

For n=8 hours, e=$104

sibstitute

k=104/8

k=$13 per hour

The linear equation is

Answer:

Step-by-step explanation:

This is a simple question to solve. Let's first calculate all the arrangements for the first case to understand the logic:

As we can see above, once we have 8 letters, and we need to calculate the numbers of arrangements with 5 letters, for the first letter we have 8 possible letters, for the second letters we have 7 possible letters once one letter was used for the first one. For the third letter we have 6 possible letters, for the fourth, 5 possible letters and for the fifth, 4 possible letters. So, we just multiply 8*7*6*5*4 = 6720 possible arrangements.

For the second situation we can follow the same logic:

And finally for the third situation we have:

As we can see above, the third scenario has more arrangements.

WX is 10

Explanation goes as follows:

WY = 25 from the question given

adding the ratios together, we will have 2+3= 5

WX : XY = 2: 3

To find WX, we will simply say;

WX = 2/5 multiplied by 25

WX = 2/5 x 25

WX = 50/5

WX=10

Like-wise to find WY

we will simply say;

WY = 3/5 multiplied by 25

WY = 3/5 x 25

WY = 75/5

WY =15

Ashley has to pay $2400 + $980 = $3380 for both items.

We need to calculate the 7% of this amount to find how much she has to pay in taxes.

Finally, the total amount she has to pay is $3380 + $236.6 = $3616.6

We can add the minutes from 7:20 AM to the next hour (8:00 AM), that is 40 minutes.

Then, from 8:00 AM to 9:00 AM we have 60 more minutes.

Then, from 9:00 AM to 9:49 AM we have 49 additional minutes.

We add all three segments as:

As 60 minutes is 1 hour, 120 minutes is 2 hours. Then, 149 minutes are 2 hours and 29 minutes.

Answer: the time elapsed us 149 minutes (or 2 hours and 29 minutes)

Answer:

Y = 1/5 x + 8/5

Explanation:

The equation of a line in slope intercept form is

we are told that the slope of the equation is 1/5; therefore,

Furthermore, we are also told that the line passes through (2,2), meaning it should satisfy the condition when y = 2, x = 2

Putting in x =2 and y = 2 in the above equation gives

subtracting 2/5 from both sides gives

Hence the equation of the line is

The graph of the equation is given below.

Given:

Let's differentiate the equation.

To differentiate since -8 is constant with resppect to x, the derivative will be:

Where:

derivative of ln(x) with respect to x = 1/x

Thus, we have:

ANSWER:

Let's begin by listing out the given information:

Before Christmas: 15 books

After Christmas: 21 books

This is an increase

The percentage increase is given by % increase = Increase ÷ Original Number × 100:

Step 1:

Write the given data

r = 11% = 0.11

P = 19360

t = 2

Step 2:

Apply exponential increase or growth formula

Step 3:

Substitute in the formula

Final answer

23853

Explanation

Step 1

remember

Step 2

solve

Let's evaluate every pair:

(2,-3):

(2,-3) represent a solution

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

(4,0):

(4,0) represent a solution

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

(5,-1):

(5,-1) Don't represent a solution

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

(0,-6):

(0,-6) Represent a solution

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

(2,3):

(2,3) Don't represent a solution

The responses to the linear optimization questions are;

Question 1

The optimal daily profit is $380

Question 2

The combination of x and y that yield the optimal value is the option;

x = 0, y = 3

Linear programming is a method by which the optimal solution can be obtained from a model represented mathematically and in which the constraints of the model have linear relationships.

Question 1

Let B represent the number of bear claws, C the almond-filled croissant, F represent the flour, Y represent the amount of yeast and A represent the number of almonds.

The amount of ingredient per each produce is therefore;

B = 6·F + 1·Y + 2·A

C = 3·F + 1·Y + 4A

The amount of ingredient available for the days production is as follows;

Ingredient available; 6600·F + 1400·Y + 4800·A

The constraints are therefore

6·B + 3·C ≤ 6,600

B + C ≤ 1,400

2·B + 4·C ≤ 4800

The maximizing function is therefore;

Profit = 0.2·B + 0.3·F

The equations of the lines are therefore;

B = 1,100 - 0.5·C

B = 1400 - C

B = 2400 - 2·C

The vertices of the feasible region are;

(0, 1100), (600, 800), (1000, 400), 1200, 0)

The values of the maximizing function at the vertices of the feasible region are;

Profit, P = 0.2×1100 + 3×0 = 220

At point (600, 800), P = 0.2×800 + 0.3×600 = 340

At point (1000, 400), P = 0.2×400 + 0.3×1000 = 380

At point (1200, 0), P = 0.2×0 + 0.3×1200 = 360

Question 2

Maximize $3·x + $15·y

Subject to the following constraints;

2·x + 4·y ≤ 12

5·x + 2·y ≤ 10

x, y ≥ 10

The equations are therefore;

4·y ≤ 12 - 2·x

y ≤ 3 - 0.5·x...(1)

5·x + 2·y ≤ 10

2·y ≤ 10 - 5·x

y ≤ 5 - 2.5·x...(2)

x ≥ 10, y ≥ 10

The coordinates of the vertices of the feasible region are;

(0, 3), (1, 2.5), and (2, 0)

The values of the maximizing function are therefore;

At (0, 3), M = $3 × 0 + $15 × 3 = $45

At (1, 2.5), M = $3 × 1 + $15 × 2.5 = $40.5

At (2, 0), M = $3 × 2 + $15 × 0 = $6

The combination of x and y that yield the optimum is therefore;

(x, y) = (0, 3)

x = 0, and y = 3

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6 greater than b is

6 greater than b is greater than 84. is represented as

Step :Subtract 6 from both sides

Therefore,

Hence,

The interval notation is (78,∞)

We are given the length of two segments:

WZ = 32

YZ = 6

and we are told that x is the midpoint of the segment WY

We are asked to find the length of the segment WX

Notice that the total length of the segment WZ is 32. from the point Y to the point Z we have 6 units. therefore, between W and Y there is 32 - 6 = 26 units.

SInce X is the midpoint of the distance between W and Y, then it has to cut the segment WY (26 units long) in two equal parts, each of length 13 units (half of 26).

Therefore, WX must be of length 13 units.

The rate at which turtle can swim is 20 miles per hour or 20 miles in one hour.

For conversion, 1 mile is equal to 5280 foot.

Convert 20 miles per hour in foot per hour.

So answer is 105600 foot per hour.

Hibernation time: 7 1/2 months = 15/2 months

Weight loss: 64.4 lbs

We can calculate the average weight change per month using the equation:

average_weight_loss = weight_loss / time

We know that:

weight_loss = 64.4 lbs

time = 15/2 months = 7.5 months

Then, using the equation above:

average_weight_loss = 64.4 lbs / 7.5 months

average_weight_loss = 8.5867 lbs/month

To the nearest tenth, the average monthly weight loss of the black bear was 8.6 lbs/month.

Answer:

The possible number of bars Pam can sell to reach the goal must be at least 5 bars.

Explanation;

Let the remaining number of bars Pam can sell to reach the goal be "x"

If Pam sells 3 bars on Monday and 4 bars on Tuesday, the total number of bars sold will be 3 + 4 = 7bars

Also if each student is encouraged to sell at least 12 chocolate bars, the required inequality expression to solve will be:

This shows that the possible number of bars Pam can sell to reach the goal must be at least 5 bars.

In order to calculate the value of x, we can use the cosine relation of the angle 60°.

The cosine is equal to the length of the adjacent leg to the angle over the length of the hypotenuse.

So we have:

Now, to calculate the value of y, we can use the tangent relation of the angle 60°.

The tangent is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

It's important to know that the gross pay refers to money before taxes, while the net pay refers to money after deductions.

Hence, the net payment must be less than $1,680.