The domain of a function is the set of input values the function can take
The domain is all set of real numbers
How to determine the domain
The expression is given as:
[tex]\frac{x^2 - x - 12}{x - 4}[/tex]
Factorize the numerator of the expression
[tex]\frac{(x - 4)(x + 3)}{x - 4}[/tex]
Simplify: Cancel out the common terms
[tex]x + 3[/tex]
The above expression can take any value of x.
Hence, the domain is all set of real numbers
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A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30. 77 feet, what is the area that will be painted grey? Use 3. 14 for π, and round to the nearest square foot. Enter your answer in the box.
Answer:
37.69 (≈ 38 ft²)
Step-by-step explanation:
2πr = 30.77
r = 30.77 / (2 * 3.14) = 4.9
half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)
A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players?
a. $34.05.
b. $42.72.
c. $57.661.25.
d. $59.611.25.
Answer:
I think b it's the only one that makes sense to me
( 575.75 - 65 ) / 15 = amount each player gets
575.75 - 65 = 510.75
510.75 / 15 = $34.05 given to each player
your answer choice should be A
Which description below the equation
X/4=55
x/4 = 55
=> x = 55 × 4
=> x = 220
Answer:
x = 220
Step-by-step explanation:
220 divided by 4 = 55
or
55 x 4 = 220
...
i need help on this does any body know
Answer:
use this formula
Step-by-step explanation:
The price of an item has risen to $301 today. Yesterday it was $140 Find the percentage increase.
Answer: 115%
Step-by-step explanation: ur welcome
Answer:
53.2%
Step-by-step explanation:
301x53.2%= 160.132 = 160.13
301-160.13=140.87
About 53.2%
A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets they had a net profit of 12,000. They had to sell a few tickets just to cover necessary production costs of 1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Complete the equation for the relationship between the net profit and number of tickets sold.
Answer: 120000
Step-by-step explanation:
Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333
Answer:
[tex]sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees[/tex]
Can someone please help me
Step-by-step explanation:
it is a simple addition and subtraction sequence :
10 + 0 + -21 + 14 = 3
since the result is positive, it is overall a gain.
if the result were negative, it would be an overall loss.
so, he had an overall gain of 3 yards.
Evaluate the following expression
53 =
Hey there!
Assuming you meant:
5^3
IF SO, LETS SOLVE FOR IT!
5^3
= 5 * 5 * 5
= 25 * 5
= 25 + 25 + 25 + 25 + 25
= 50 + 50 + 25
= 100 + 25
= 125
Therefore, your answer is mostly likely:
125
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
How many zeros are in the product of 5 x 10³?
Answer:
3
......,..............
Answer:
There are 3 zeros.
Step-by-step explanation:
5 x 10³ = 5000
Which values from set 1,2,3,4,5 make the inequality true n + 2 < 6
Answer:
1, 2, and 3
Step-by-step explanation:
You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.
Sloan went to the DMV to get a new DC License $40. 0. When she got there, the clerk told her she needed a state inspection. The state inspection requires a $50. 00 fee and does not cover the costs of any mechanical issues that may need to be fixed. Once the inspection was completed, Sloan was told that her car failed to pass inspection due to : Leaking gas caps, Imbalanced air-to-fuel ratio and faulty transmission. The total cost of repairs for the vehicle, was $875. 0. HOW MUCH, IN TOTAL, WOULD SLOAN BE PAYING TO GET HER DC LICENSE? WHAT TYPE OF ENGINEER WOULD BE ABLE TO FIX SLOAN'S CAR?.
The total amount Sloan need to pay in order to get her DC license to the DMV is $935.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Sloan went to the DMV to get a new DC License, $40.0. The state inspection requires a $50.00 fee and does not cover the costs of any mechanical issues that may need to be fixed.
Thus, the total amount Sloan paid in inspection and DC license charge is,
[tex]C=40+50\\C=90[/tex]
Now Sloan's car failed to pass inspection due to : Leaking gas caps, Imbalanced air-to-fuel ratio and faulty transmission. The total cost of repairs for the vehicle, was $875. 0.
Thus, the final cost of Sloan's car after the repairing of the vehicle is,
[tex]C=90+845\\C=935[/tex]
Thus, the total amount Sloan need to pay in order to get her DC license to the DMV is $935.
Mechanical engineer are most capable to deal with fixing a vehicle and issues related to it. Thus, a mechanical engineer required to fix Sloan's car.
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Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if:_______.
A. respondents tell the truth about exercising.
B. the size of the sample doesn't have any effect on the significance of the test.
C. 95% confidence is high enough.
D. it is based on a very large random sample.
E. it is based on a very small random sample.
Hint:Think about the importance of the sample size.
Using the concept of margin of error, it is found that higher samples lead to more precise results, hence the correct option is:
D. it is based on a very large random sample.
What is the margin of error of a confidence interval?The margin of error of a confidence interval is given by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical valuer related to the confidence value, the higher the confidence level the higher z.s is the standard deviation.n is the sample size.In this problem the increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result, hence option D is correct.
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Create an equation using the table of values below.
Answer:
1. y = 2x - 1
Step-by-step explanation:
See attached image.
Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
Please select the best answer from the choices provided
A
B
C
D
Answer:
the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.
Step-by-step explanation:
Hope this help :) LMK
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
Option B is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P (1 + r/n)^{nt}
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.
This means that he will have fewer payments to make, which will result in a lower monthly payment.
The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.
Thus,
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
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#SPJ5
4-62. Find the area and perimeter of the
below shape.
7.6 ft
3 ft
7 ft
7 ft
Answer:
area= 59.5 perimeter=31.6
Step-by-step explanation:
the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6
………….. need help filling out
Answer:
dilation is size
Step-by-step explanation:
The figure below shows three quadrilaterals on a coordinate grid: A coordinate plane is shown with three quadrilaterals. Figure M has four sides that measure 2 units each. Figure N has four sides that measure 2 units each. Figure O has four sides that measure 4 units each. Which of the following statements is true about the three quadrilaterals? (4 points) a M and O are similar and congruent. b O and N are similar and congruent. c M and N are similar but not congruent. d M and O are similar but not congruent.
Answer:
D. M and O are similar but not congruent
Step-by-step explanation:
As you can see, M and O are similar because they both have four sides and equal length for each of the side meaning that they are both squares.
At the same time, M and O are do not have the same dimensions meaning they are not congruent
I am learning ratio and proportion
Answer:
Unit Quantity is the answer
Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification
The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.
What is ending inventory?It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.
From the complete question, the ending inventory will be:
= $3190 + $2295 + $4420
= $9905
Also, the cost of goods sold will be:
= $2465 + $473 + $2145
= $5083
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Help me please!!!!!!!
Answer:
its blurry give another picture
Step-by-step explanation:
Help guysss does anyone know the answer to this ?
Answer:
Step-by-step explanation:
1) Amir’s mistakes:
On the second layer, he hadn’t substrated k from 3k => 3+5+9p is wrong;
On the last layer, he added 8 with 9p which is incorrect,he can’t get 17p by adding them.
2)3k+5-k+9p
3k-k+5+9p
2k+5+9p
Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis she can drive with 121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 121212 liters of fuel?
Answer: you made this up there is no answer
Step-by-step explanation:
Answer:
k 90
Step-by-step explanation:
you just get the two factorial numbers
someone help me with this please
HELP PPLEASE I BEG HEY HELPPLEASE :,)
Answer:
The y-intercept and slope are wrong. In this problem, they are mixed up.
Step-by-step explanation:
In an equation like that, the y-intercept not supposed to be attached to the x. In this problem, the y-intercept point would be 4, not -3. Instead, the -3 represents the slope (rise/run).
Given Rectangle MNOP
Answer:
Step-by-step explanation:
please help 15 points easy HHHEELLPP
Reason why addition and subtraction should be taught first
Answer:
Addition and subtraction are easier than other operations like multiplication, division, square roots and to the power of.
Multiplication builds on the idea of addition, and to the power of builds on multiplication.
For example: 2+2+2=6. This is very simple, if you have 2 apples, and you get 2 more apples, and then you get 2 more apples, you add them together and you get 6 apples. Multiplication is a faster way to do this but it is more complicated. If you have 3 groups of apples, and each group has 2 apples in it, you multiply them together to get 6 apples. The reason this is faster is that instead of individually adding all the numbers together, you count the number of groups there are and multiply because you know that each group has 2 apples in it. Addition is a simple concept to understand, if you have two apples, than you add two apples more, you get 4 apples. very simple. the idea of subtraction works on a similar idea, if you have 4 apples, and you eat two, then you have 2 apples left.
If you are adding
3+3+3+3+3+3+3+3+3+3+3+3+3+3
then its very simple, right? You take 3 apples, you add 3 more apples, and you add 3 more apples...
Its very simple, but the problem is it would take forever, so you multiply instead.
How many groups do you have?
We count them all and find there are 14 groups.
14x?
What are we multiplying?
3
so 14x3=42
but we couldn't do this without simple addition because we had to add the number of groups there are.
I hope this helps!
Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
11, 11-1
P(x)=x4 - 22x3 + II X2 - 2,662x + 14,762
Help Please! Will Make Brainliest!
Gilligan sees a ship coming close to the shore he’s standing on.
he wants to determine the distance (segment SD) from the ship to the shore.
he walks 130ft along the shore from point D to point C and marks the spot.
then he walks 23ft further and marks point B.
he turns 90° and walks until his location (point A), point C, and point S are collinear.
Answer the following questions making sure to show all your work.
(A) can Gilligan conclude that triangle ABC and triangle SDC are similar? why or why not?
(B) suppose AB = 150ft. what is the distance from the ship to the shore? show all your work and round your final answer to the nearest tenth of a foot.
a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
What are Similar Triangles?The ratios of the corresponding sides of two triangles that are similar are equal.
Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.
a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)
Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. AB = 150 ft
Distance from the ship to the shore = SD = ?
DC = 130 ft
CB = 23 ft
Thus:
AB/SD = CB/DC
Substitute
150/SD = 23/130
SD = (150×130)/23
SD = 847.8
Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
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