Answer:
First, we need to list all the possible selections and the number of options that each selection has:
Style of home: 5 options.
Style of garage: 6 options.
Style of decks: 5 options.
Style of carpeting: 6 options.
The number of different combinations of possible homes is equal to the product between the number of options for each selection.
This is:
C = 5*6*5*6 = 900
So there are 900 possible houses (that are all different in some aspect)
4. Odette Alverez works at the Digitech Warehouse eight hours a day, earning $9.48 an hour. She is asked to work two additional hours at time and a half to help prepare for an incoming shipment of merchandise. How much will she earn for these two hours of overtime?
Answer:
$28.44
Step-by-step explanation:
Time and a half is the normal rate of pay when working overtime at any job and is calculated as 1.5 times the regularly hourly wage of the employee. Therefore we can calculate how much she earns per hour of overtime by doing the following...
$9.48 * 1.5 = $14.22 per hour
Now we can see that Odette earns $14.22 per hour of overtime, since she worked two hours we simply multiply this amount by 2.
$14.22 * 2 = $28.44
Odette Alvarez earned $28.44 for the two hours of overtime.
Determine whether each statement about the rotation (x, y) --> (y, −x) is true or false.
Points on the x−axis are mapped to points on the y−axis.
A point on the line y = x is mapped to another point on the line y = x.
please help me fast
It is the first one!
Let me know if im wrong
Step-by-step explanation:
Given:
PQ
⊥
QR
, PR = 20,
SR = 11, QS = 5
Find: The value of PS. EXTRA POINTS
Answer:
[tex]PS=13\text{ units}[/tex]
Step-by-step explanation:
So, we know that PR is 20, SR is 11, and QS is 5.
We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.
We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.
So, let's find PQ.
We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:
[tex](PQ)^2+(QR)^2=(PR)^2[/tex]
We know that PR is 20.
QR is the combined length of QS+SR, so QR is 5+11 or 16.
So, substitute:
[tex](PQ)^2+(16)^2=(20)^2[/tex]
Solve for PQ. Square:
[tex](PQ)^2+256=400[/tex]
Subtract 256 from both sides:
[tex](PQ)^2=144[/tex]
Take the square root of both sides:
[tex]PQ=12[/tex]
So, the side length of PQ is 12.
Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:
[tex](PQ)^2+(QS)^2=(PS)^2[/tex]
We already know that QS is 5. We also just determined that PQ is 12. Substitute:
[tex](12)^2+(5)^2=(PS)^2[/tex]
Square:
[tex]144+25=(PS)^2[/tex]
Add:
[tex]169=(PS)^2[/tex]
Take the square root of both sides:
[tex]PS=13[/tex]
Therefore, the length of PS is 13 units.
And we're done!
The answer to this is PS=13.
How do you do this question?
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Consider the diagram below. Name the angle 3 ways. Select all that apply.
ABC
A
BAC
CBA
CAB
C
B
Answer: A, BAC, CAB
Step-by-step explanation: A already says it’s an angle . BAC & CAB are congruent meaning they are equal . Hope this helped !
If you have a job and you make $36,000 a year and 42% of it goes to taxes and deductions then how much in dollars are you paying in taxes?
Answer:
$36,042
Step-by-step explanation:
If you add 36,000 and 42 it will give you that answer
because it is telling you how much are you paying in taxes
18x5 – 12x4 + 20x3 + 48x2
9x2
Katrina has 12 more car payments that are each $178. About how much money does she have left to pay?
Answer:
$2,136.
Step-by-step explanation:
12 more payments, times $178 per payment, equals $2,136 left that she has to pay.
Given the function f(a) = 5a + 14, solve for f(a) = 0.
Give an exact answer; do not round.
Answer:
a = 14
Step-by-step explanation:
Step 1: Write out your problem
f (a) = 5a + 14 | f (a) = 0
Step 2: Solve
f (a) = 5 (0) + 14 , Input a.
f (a) = 0 + 14 , 5 x 0 = 0
(a) = 14 , 0 + 14
a = 14
hgfdertyhujnbvfdfghnbvcdxfg
Answer:
gehsjskkskskkskdhdhjs
49 × 11 = ________ elevens
Answer:
I believe the awnser is 539 total.
Step-by-step explanation:
If you take the 4 and times it by 1 you get 4.
Same with the nine.
But if you times 49 by 11 you get 539.
Hope this helps!
Classify is the function as increasing decreasing or constant l
f(x) = 5x
Anyone know the answer .?
Answer:
Increasing
Step-by-step explanation:
Remember that f(x) is the same as y in slope intercept form y = mx + b.
We don’t have a number for “b” which means the line goes across the origin.
Since 5 replaces m, that is the slope and since it’s positive, it is increasing.
Best of Luck!
cuanto es 4 dividido 8048
Answer:
0.000497010893
A store bought 9 cases of light bulbs in may and 8 cases in June there are 47 light bulbs in a case how many light bulbs did the store buy in may and June?
Answer:
799 light bulbs
Step-by-step explanation:
9+8=17
47 times 17 = 799
product of -4/5 and 3/4
Answer:
-3/5
Step-by-step explanation:
-4/5 * 3/4
Rewriting
-4/4 * 3/5
-1 * 3/5
-3/5
that’s what i need help with
Answer:
W=-3 because negative divided by a negative equals a positive
Step-by-step explanation:
Hope this helps!!!
Which two consecutive whole numbers is each square root 57 between?
Answer:
Between 7 and 8
Step-by-step explanation:
7^2 = 7 × 7 = 49
8^2 = 8 × 8 = 91
57 is between 49 and 91
I thought of number J, and then subtracted half of it from 34.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let me help out.
You said that you thought of number J, and then subtracted half of it from 34. This can be mathematically written as:
= 34 - (J/2)
Let's reframe the question and assume that you thought of a number J, and then subtracted half of it from 34 and the answer you get is 12. To find J goes thus:
You subtract half of J from 34 and equate it to 12. This will be:
34 - (J/2) = 12
Collect like terms
34 - 12 = J/2
22 = J/2
J = 22 × 2
J = 44
In this scenario, J = 44. We can check to confirm.
Check: 34 - (J/2)
= 34 - (44/2)
= 34 - 22
= 12
Answer:
34 - (J/2)
Step-by-step explanation:
e. What number, when reduced by 20%, becomes 500?
f. What amount increased by 100% will equal $310
g. After deducting 20% from a sum of money, the remainder is $500. What was the
original amount?
Also what is 1.40 to percent and fraction
Pls help fast
Answer:
E: 625
F: 155
G: 625
Step-by-step explanation:
Hi!
E.
A number, reduced by 20% is 500.
Originally, that number was at 100%.
Reduced = subtraction, so that number = 100%-20%, or 80%.
80% of a number = 500.
80% = .8
.8x = 500
Divide both sides by .8
x = 625
F.
A number that is increased by 100% is a number that is doubled (multiplied by 2).
2x=310
x=155
G.
Originally, the money was at 100%. After being reduced by 20%, the money is at 80% (.8).
.8x = 500
Once again, the answer is 625.
H (?)
To change a decimal to a percent, we multiply by a 100.
1.40 * 100 = 140%
As a fraction: 140/100
Simplify √54............................
Answer:
7.34
Step-by-step explanation:
this is the extended number 7.34846922835
2(s+2)=4(s+2)
Need Steps!
Answer:
s = -2
Step-by-step explanation:
2(s+2)=4(s+2)
2s + 4 = 4s + 8
2s - 4s = 8 - 4
-2s + 4
s = -2
Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room which, in cross section, is half of an ellipse. If the room is 30 feet high at the center and 90 feet wide at the floor, how far from the outer wall should each of them stand so that they will be positioned at the foci of the ellipse? Fill in the blank: Denise and Donna should each stand _____ ft from the outer wall so that they will be positioned at the foci of the ellipse. Round your answer to the nearest whole ft (no decimal places).
Answer:
34 feet
Step-by-step explanation:
From the question, we are told that:
If the room is 30 feet high at the center and 90 feet wide at the floor,
Entire width of the room = 90 feet = 2a
a = 90/2 = 45
Height of the room = b = 30 feet
Foci (c)² = a² - b²
c = √a² - b²
c = √45² - 30²
c = √1125
c = 33.541019662 feet
Approximately to the nearest whole number = 34 feet
Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse
Solve for x 5x2-4x=6
Answer:
1
Step-by-step explanation:
5x2 is 10 subtract that and add it to 6 which gives you -4 then you do -4/-4 which is 1
Andy had 6 2/3 cups of juice. How many 2/3-cup servings can he pour?
Answer: 10
Step-by-step explanation:
First, you need to change 6 and 2/3 into an improper fraction which is 20/3. Then, you need to divide 20/3 by 2/3 to find your answer. To do this, simply turn 2/3 to 3/2 and multiply it by 20/3. 20/3 x 3/2 = 60/6. 60/6 in simplest form is 10. Therefore, you answer is 10.
11/48 as a percentage
Answer:
22.9166%
Step-by-step explanation:
That is the answer, take note that the six is infinite.
What is the volume of the sphere? Round your answer to the nearest tenth.
Answer:
2,144.7
Step-by-step explanation:
The formula for the volume of a sphere is V=4pi r^3/3. Lets apply this formula for your sphere. The radius is 8, so lets plug in 8 in our formula. 4pi 8^3/3. Now, lets solve. 4 times pi. What is pi? We usually think of pi as 3.14. 4x3.14 is 12.56. Now, lets do 8^3/3. 8 times 3 is 512, and divided by 3 is 170.67. Alright, now we have 12.56 times 170.67. That is 2144.7 rounded to the nearest tenth.
what is the square root of 1/9?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{1}{9} } = \sqrt{\frac{1}{3} } {^{2} } \\\\=\frac{1}{3}[/tex]
The square root of the fraction 1/9, would be ± 1/3.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
A fraction 1/9 is given,
Now, The square root of this fraction would be √(1/9).
= √1/√9.
= 1/√9.
= 1/3, But it can be both ± 1/3 as both results to 1/9.
learn more about square roots here :
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A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
container costs the company $16, while the cylindrical container costs the company $15. If the company needs to
package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain.
How many rectangular containers will be necessary to package 6,400 candles?
How many cylindrical containers will be necessary to package 6,400 candles?
Which container should the company use to minimize costs? Explain.
Answer:
a) no
b) 143 rectangular containers
c) 157 cylindrical containers
d) both (preferring rectangular for the bulk of an order)
Step-by-step explanation:
a) If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs?
No.*
For packaging 41 candles or fewer, the cylindrical container costs less than the rectangular one.
For packaging 6400 candles, there will be 10 candles left over if rectangular containers are used for most of the packaging needs. A dollar can be saved by packaging these remaining candles in a cylindrical container.
__
b) How many rectangular containers will be necessary to package 6,400 candles?
6400/45 = 142 10/45
If rectangular containers are used for all, then 143 are needed.
__
c) How many cylindrical containers will be necessary to package 6,400 candles?
6400/41 = 156 4/41
If cylindrical containers are used for all, the 157 are needed.
__
d) Which container should the company use to minimize costs?
The cost of 143 rectangular containers is 143×$16 = $2288
The cost of 157 cylindrical containers is 157×$15 = $2355
The cost of 142 rectangular and 1 cylindrical container is $2287
If only one shape container is used, the company should use rectangular containers to minimize cost. If either shape can be used, cost will be minimized by using one cylindrical container for the remnant of the order.
_____
* This question is directed solely at the cost of materials required for packaging. We have advocated that both rectangular and cylindrical containers be made available. As a practical matter, the cost to the company of maintaining inventory of both sizes of containers may exceed the savings associated with using a cheaper container for smaller orders.
Louis is 6 times mary's age. If the difference in their ages is 20 how old is louis
Answer:
louis age is 26
Step by step explanation:
their difference = 20
and Louis is 6 times
then 20 + 6 = 26
Louis is [tex]6[/tex] times Mary's age. If the difference in their ages is 20 then Louis is [tex]24[/tex] years old.
What is age?Age is defined as the length of time that somebody has lived or that something has existed.
Let,
Mary's age [tex]=x[/tex] years
So, Louis' age [tex]= 6x[/tex] years
According to question,
[tex]6x-x=20[/tex]
[tex]5x=20[/tex]
[tex]x=4[/tex]
So, Louis' age [tex]= 24[/tex] years
Hence, we can say that Louis is [tex]24[/tex] years old.
To learn more about ages click here
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Parker is planning for a school picnic. He would like to have 2 hot dogs per person and 15 extra on hand. How many hot dogs does he need if there are 116 students and 8 teachers? O 131 139 248 263
Answer: The answer is 263
Step-by-step explanation: 116 + 8 = 124 * 2 = 258 + 15 = 263
Answer: 116 + 8 = 124 * 2 = 258 + 15 = 263
