Question 3 - 1 Point
Dec 14, 8:58:20 AM
ZA and ZB are complementary angles. If m_A = (2x + 30) and m
ZB= (6x 12), then find the measure of ZA.
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Answer:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got it correct on the quiz

Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Journal entries for Southeastern College as a public university:

1. Donation received for capital addition:

Restricted Cash - Capital Additions Dr. $502,000

Donation Revenue Cr. $502,000

2. Contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

3. Interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

4. Increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

To record the transactions for Southeastern College as a public university, the following journal entries are made:

1. Recording the donation received for capital addition:

Restricted Cash - Capital Additions  Dr. $502,000

Donation Revenue Cr. $502,000

The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.

2. Recording the contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.

3. Recording interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.

4. Recording the increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.

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His new balance after the check is deducted will be $370.09

From the question, we have the following parameters:

The new balance is then calculated using:

New balance = Initial Balance - Check

So, we have:

New balance = 415.01 - 44.92

Evaluate

New balance = 370.09

Hence, his new balance will be $370.09

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Answer:

c

Step-by-step explanation:

Given function f(q)=−0.17q+255 is a demand function, which relates price with quantity demanded.  

The revenue of a manufacturer can be calculated as total revenue = price × quantity;

which can be expressed as R(q)= q*p=q*(−0.17q+255)=−0.17q²+255q.

To maximize the revenue, we need to take the derivative of the revenue function R(q) with respect to q and set it equal to zero.

Hence, R'(q) = -0.34q + 255 = 0 Or, 0.34q = 255q = 750

Now, the quantity of the manufacturer that will maximize the revenue is 750 units.

Now, to determine the maximum revenue, substitute this value of q in the revenue function.

Hence, R(q) = -0.17q² + 255q R(750) = -0.17(750)² + 255(750) = 106875 units.

Therefore, the maximum revenue is 106875 units when 750 units are produced.

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Answer:

A) D) g(x) = 2x - 8

2) B) y = 3/4x - 1 and y = -4/3x + 9

Step-by-step explanation:

1)

In the table, we have the points

(5, 2)

(7, 6)

(9, 10)

(10, 12)

This seems to be a linear relationship, so let's try that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1)

If we use the first two points, we get the slope:

a = (6 - 2)/(7 - 5) = 4/2 = 2

if we use the first and last point, we get the slope:

a = (12 - 2)/(10 - 5) = 10/5 = 2

Then we can conclude that this is a linear relationship with a slope equal to 2.

y = 2*x + b

To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).

this means that x = 5, and  y = 2.

2 = 2*5 + b

2 = 10 + b

2 - 10 = b

-8 = b

Then the equation is:

y = 2*x - 8

the correct option is: D) g(x) = 2x - 8

2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.

The one with a positive slope (grows to the right) has a y-intercept = - 1.

The one with a negative slope (grows to the left) has a y-intercept =  9.

The two options that match this condition are:

B) y = 3/4x - 1 and y = -4/3x + 9

C) y = 3/4x - 1 and y = -3/4x + 9

Where the only difference is the slope of the black line.

so et's check which slope matches that line.

In the graph we can see that it passes through the points:

(0, 9) and the point (6, 1)

Then the slope is:

a = (1 - 9)/(6 - 0) = -8/6 = -4/3

Then the correct option is where the negative slope is -4/3, that one is

B) y = 3/4x - 1 and y = -4/3x + 9

Answer:

a) 54π cm³

Step-by-step explanation:

area of circle=πr²

9π

π9*6=54π

Answer:

b

Step-by-step explanation:

Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

Answer:

the answer is b: (6,0) and (0,-9)

Answer:

6b +8

Step-by-step explanation:

2b + 4b = 6b

5 +3 = 8

I hope this helps

Answer: 9

Step-by-step explanation:

Let's first represent the given information in the form of an equation. We know that the long sleeve t-shirts (x) cost $27 each, and the short sleeve t-shirts (y) cost $20 each. Elijah collected $543 in total. So we can write the equation as:

27x + 20y = 543

We also know that Elijah sold 15 short sleeve t-shirts (y), so we can plug that value into the equation:

27x + 20(15) = 543

Now, we solve for x:

27x + 300 = 543

Subtract 300 from both sides of the equation:

27x = 243

Now, divide by 27:

x = 9

So Elijah sold 9 long sleeve t-shirts.

Number of long sleeve t shirts that Elijah sell is 9 long sleeve t shirts.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given that,

The long sleeve t-shirts cost $27 each and the short sleeve t-shirts cost $20 each.

He collected a total of $543.

So, we get an equation,

27x + 20y = 543

Also, given that, Elijah sold 15 short sleeve t-shirts.

Substitute y = 15.

27x + (20 × 15) = 543

27x + 300 = 543

27x = 543 - 300

27x = 243

x = 9

Hence Elijah sold 9 long sleeve t shirts.

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Answer:

Step-by-step explanation:

The largest interval over which the general solution is defined is (0, ∞). This is because the left-hand side of the equation, xy′ (1 x)y, is undefined at x=0.

The exponential function on the right-hand side of the equation, e−xsin 2x, is undefined at x=∞. Thus, the solution is valid only for x-values between 0 and infinity.

The general solution of the given differential equation can be found by first rewriting it in the form of a separable equation and then integrating each side. This yields a solution in terms of an indefinite integral which is valid for all x-values between 0 and infinity.

This solution can be used to find the solution for any specific x-value by plugging in the x-value and then evaluating the integral. Therefore, the general solution is valid for the largest interval (0, ∞).

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Answer:

y = -4x-34

Step-by-step explanation:

From the line to which the line is parallel, we can get the slope

The general form of a linear model is;

y = mx + b

where m

is the slope and b is the y-intercept

From the question, using the given line,

we have the slope of that line as -4

Now, we want to write the equation of a line that passes through (-7,-6) and has a slope of -4

we can use the point-slope form

for this

That would be;

y-y1 = m(x-x1)

y + 6 = -4(x+ 7)

y + 6 = -4x -28

y = -4x -28-6

y = -4x - 34

Answer:

x = 3+y/2

Step-by-step explanation:

216cm^2

Volume of cube= 216 ft^3

l^3= 216

l= Cube root of 216

l= 6

SA=6*l^2

=6*6*6

=216 cm^2

Answer:

Z

Step-by-step explanation:

The Raj's AMTI who itemised deductions providing their financial records for 2022 is 478,000.

AMT ( Alternative Minimum Tax ) is applied to high economic income by setting a limit on these benefits to reduce taxpayer's regular tax.

As per the question,

⇒ The Alternative Minimum Tax for taxpayers is triggered when a tax preference item is a type of income. In IRS' tax formula, preference items are added to the amount of AMT income.

⇒ AMTI   =   Taxable income + AMT positive adjustments + AMT

                     preferences

               =    370000 + 33000 + 75000

AMTI       =    478000

Therefore, 478,000 is the AMTI of Raj in the year 2022 i.e. option d is correct.

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The complete question is

Option c is correct, 0.1689.

We know,  the formula for effective interest rate,

\(r = (1 + \dfrac{i}{n} )^n - 1\),

where,

r = effective interest rate,

i = stated interest rate,

n = number of compounding periods,

Stated interest rate = 8.145%,

Tiffany's effective interest rate be if the interest is compounded weekly,

Stated interest rate, i = 8.145%,

number of compounding periods, n = 1 week = 1,

\(r_w = (1 + \dfrac{i}{n} )^n - 1\\\\r_w = (1 + \dfrac{0.08145}{1} )^1 - 1\\\\r_w= 0.08145 = 8.145\%\)

number of compounding periods, n = 1 year = 52 week = 52,

\(r_w = (1 + \dfrac{i}{n} )^n - 1\\\\r_w = (1 + \dfrac{0.08145}{52} )^{52} - 1\\\\r_w= 0.084789 = 8.4789\%\)

Tiffany's effective interest rate be if the interest is compounded semiannually,

Stated interest rate, i = 8.145%,

number of compounding periods, n = for half year = 1,

\(r_s = (1 + \dfrac{i}{n} )^n - 1\\\\r_s = (1 + \dfrac{0.08145}{1} )^1 - 1\\\\r_s= 0.08145 = 8.145\%\)

number of compounding periods, n = 2 semiannually = 2,

\(r_s = (1 + \dfrac{i}{n} )^n - 1\\\\ r_s = (1 + \dfrac{0.08145}{2} )^2 - 1\\\\ r_s= 0.0831 = 8.31\%\)

Thus, for the first week and 1 semiannually, the effective interest rate will be the same but will definitely make a change, if seen for a year.

Therefore, Tiffany's effective interest rate if interest is compounded weekly rather than compounded semiannually will be  \(r_w-r_s=(8.4789-8.31)% = 0.1689%\).

Hence, option c is correct, 0.1689.

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Answer:

exponential model (b)

Step-by-step explanation:

Again just answering this guy even though hes already answered it so it comes up as answered on brainly, thank him not me.

Answer:

B) exponential model

Step-by-step explanation:

I got it correct.

Answer:

y = 20x

Step-by-step explanation:

Using the process of elimination, it definitely cannot be A. B was in consideration until realising that the height is proportional to time therefore B was incorrect. C was also wrong as 180/9 = 20 not 90 leaving D as the correct option.

Answer:

1) area =25

perimeter= 24

2) area=49

perimeter=30

Answer:

About what percent of body temperatures are below 37.0 degrees C (98.6 F)?. The standard score for x = 37.0 is z = 37.0-36.8. 0.4. = 0.2.

Answer:

The area and yard is 60.

Step-by-step explanation:

15 x 4 = 60

Let me know if that helps!

Answer:

Step-by-step explanation:

He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat.  The other treat  might give a higher profit.

Omar is correct since if 50% of the

Profit is defined as the amount gained by a person or business.

Profit = Total Revenues - Total cost

Given that,

you and Omar are talking about which two frozen treats would be best to sell.

Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.

Total number of the frozen treats = 100%

If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.

Hence Omar is correct.

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Answer:

2 divided by 100 multiply 150