The length of a box is twice the width and thrice the height. If the volume of the box is 288 m then find the dimensions of the box
Answer:
length = 12 mwidth = 6 mheight = 4 mStep-by-step explanation:
Let the height be x.
Length is 3 thrice the height, so length ⇒ 3xLength is twice the width, so width ⇒ 3x/2We know the formula for volume of the box.
V = lwhV = (3x)(3x/2)(x)288 = 9x³/29x³ = 576x³ = 64x = 4 mDimensions
height = x = 4 mwidth = 3x/2 = 3(4)/2 = 6 mlength = 3x = 3(4) = 12 mPrism M is a dilation of Prism N. The height of Prism M is 434 ft, and the volume of Prism M is 6825 ft³. The height of Prism N is 238 ft. What is the volume of Prism N? Enter your answer as a mixed number in simplest form by filling in the boxes
Answer:
The answer is 8 11/20. Can I have brainliest?
Step-by-step explanation:
Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function. what is the value of y when x=5.7? 5 5.50 5.75 6
The values of y when x=5.7 will be 5. In the graphs, the function is represented as y=⌊x⌋
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
In the graphs the function y=⌊x⌋
The value of the y obtaining will be the whole number of the left axis of the integers.5 is the nearest whole number to the 5.7.
The given value of the function is ;
y = [ 5.7 ] = 5
Hence the value of the y is 5.
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Answer:
A. 5Step-by-step explanation:
solve the following system of equations using substitution
x = 4
2x + 4y = 36
Step-by-step explanation:
2x + 4y = 36
2 × 4 + 4y = 36
8 + 4y = 36
4y = 36 - 8
4y = 28
y = 28 ÷ 4
y = 7
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
Answer:
x2−2x−8
Step-by-step explanation:
please help me with question 8
Answer:
[tex] \red{ \rule{1pt}{500000pt}}[/tex] [tex] \red{ \rule{1pt}{500000pt}}[/tex]
Step-by-step explanation:
Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4. 75% interest rate compounded annually. B) A 3-year loan with a 4. 00% interest rate compounded annually. C) A 4-year loan with a 3. 75% interest rate compounded annually. D) A 5-year loan with a 3. 00% interest rate compounded annually
The loan option that would allow Charles to pay the LEAST in interest is option A.
What is Compound Interest?Compound Interest is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
[tex]A=P(1+r\%)^n[/tex]
where A is the value after t period of time, P is the principal amount, and,
r is the rate of interest.
A.) Principle amount = $10,000
Time Period of loan = 2 years
Rate of Interest = 4.75% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0475)^2\\\\= \$10,972.56[/tex]
The interest will be = $10,972.56 - $10,000 = $972.56
B.) Principle amount = $10,000
Time Period of loan = 3 years
Rate of Interest = 4.00% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.04)^2\\\\= \$11,248.64[/tex]
The interest will be = $11,248.64 - $10,000 = $1,248.64
C.) Principle amount = $10,000
Time Period of loan = 4 years
Rate of Interest = 3.75% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0375)^2\\\\= \$11,586.5[/tex]
The interest will be = $11,586.5- $10,000 = $1,586.5
D.) Principle amount = $10,000
Time Period of loan = 5 years
Rate of Interest = 3.00% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.03)^5\\\\= \$11,592.74[/tex]
The interest will be = $11,592.74 - $10,000 = $1,592.74
Hence, the loan option that would allow Charles to pay the LEAST in interest is option A.
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Urgent! The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.
How long is the longer leg of the triangle?
A. 17 yd
B. 17 √2 yd
C. 34 yd
D. 17 √3 yd
The longer side of the triangle is 17√3 yd. Therefore, option D is the correct answer.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, the length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.
Let the longer side of the triangle be x.
We know that, tanθ = Opposite/Adjacent
tan60° = x/17
√3=x/17
x=17√3 yd.
Therefore, option D is the correct answer.
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Convert the polar representation of this complex number into its standard form: z=4(cos5pi/6 + i sin 5pi/6)
The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form
What is a complex number?Complex numbers are the numbers which is in the form of:
a + ib where, a,b are real numbers and 'i' is an imaginary number.
The complex number can also be represented in polar form as:
z = r(cosФ + isinФ)
Given the complex number:
z=4(cos(5pi/6) + isin(5pi/6)), hence converting to standard form gives:
z = -3.464 + 2i
The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form
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Answer:
-2 square root 3 + 2i
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
x = 1.3 (to the nearest tenth)
Step-by-step explanation:
Missing angle is 20 degrees
CAH
hypotenuse = x
Adjacent = 3.6
Cos(20) = x/3.6
x3. 6
3.6 x (20) = x
x = 1.31029.....
Hope this helps!
62= -8(8x+4) - 2(5-6x)
Answer: x=-2
Step-by-step explanation:
Isolate the variables + divide each side.
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − startroot x endroot 8x3 startfraction 5 over x endfraction 3 6x2 − 6x 5
The algebraic expression that is a polynomial with a degree of 2 is
6x^2-6x+5.
What is the degree?The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.
The highest degree of the polynomial is considered the degree of the polynomial.
For the first option,
[tex]4x^3-2x+10[/tex]
The highest degree is 3.
The second option is,
[tex]x^2-8x^3+3[/tex]
This polynomial also has a degree of 3.
The third option is,
[tex]6x^2-6x+5[/tex]
This last option has a degree of 2.
Therefore the correct answer is option C.
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Answer:The answer is C
Step-by-step explanation:Edge 2022 :)
X=
Please see attached problem
i need help 9th grade math
A scientist wants to find
out how the properties of water change
when salt is added to it. For every cup of
1
water she has, she replaces of it with
salt. If she has 24 cups of water, how
many cups will she replace with salt?
8
Answer:
the answer 192(If Multiplied)
Help me with this question, please
Answer:
x = 3 oz of seeds
y = 7 oz of seeds
Step-by-step explanation:
1. x + y = 10 oz (total amount of snack mix in ounces; oz)
2. $1.50x + $2.50y = $22 (how much the seeds and dried fruit costs)
3. Solve the system of equations using algebra.
$1.50 x + $1.50y = $15
$1.50 x + $2.50y = $22
There are $1.50x's in both of the equations, so cancel them out.
Subtract $2.50y by $1.50y and $22 by $15. y = 7
4. Plug in the y value in one of the equations.
x + 7 = 10; x = 3
Find the volume ratio given:
Side ratio is 2:7
Step-by-step explanation:
2/7= 2*2*2/7*7*7
=8/343
The volume ratio is given as;
⇒ 8 : 243
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Side ratio is,
⇒ 2 : 7
Hence, The volume ratio is given as;
⇒ 2³ / 7³
⇒ 2×2×2 / 7×7×7
⇒ 8 / 243
⇒ 8 : 243
Thus, The volume ratio is given as;
⇒ 8 : 243
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The sum of two polynomials is 8d5 – 3c3d2 5c2d3 – 4cd4 9. if one addend is 2d5 – c3d2 8cd4 1, what is the other addend? 6d5 – 2c3d2 5c2d3 – 12cd4 8 6d5 – 4c3d2 3c2d3 – 4cd4 8 6d5 – 4c3d2 5c2d3 – 12cd4 8 6d5 – 2c3d2 – 3c2d3 – 4cd4 8
The sum of two polynomials is 8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9
2d^5 - c^3d^2 +8cd^4 +1 would be 6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Given that
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex]
Now
if one is added i.e.
[tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
Now let us assume the other polynomial be x
So,
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] = x + [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
x = [tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] - ( [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex])
x = [tex]6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8[/tex]
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Kristen has been earning $170 per week by babysitting. She has been
working hard to save 25% of each week's earnings. If she continues to
save the same amount each week, how long will it take her to save $212.5?
25% of $175 is $42.5
$212.5 divided by $42.5 is 5.
It will take her 5 weeks
Answer:
5 weeks
Step-by-step explanation:
First we must turn the percentage into a decimal :)
170 x 0.25 = 42.50
Now we divide :)
212.5/42.50 = 5
She will take 5 weeks :)
Have an amazing day!!
Please rate and mark brainliest!!
answer please fast fast fast
Answer:
9 is A 10 is D
not sure of the other two
Step-by-step explanation:
9 increases by 4 every time
10 increases by 7 every time
Answer:
9. A
10. D
11. D
12. A
Step-by-step explanation:
9. Look at the pattern; 6+4=10, 10+4=14, 14+4=18, 18+4=22.
10. Same thing for number nine.
11 & 12. Its just vocab
I NEED HELP RN PLSS I HAVE NO TIME LEFT
Answer:
B
Step-by-step explanation:
yes, the angles are the same.
and the scale factor is
NS / GA = 15/12 = 5/4
The table shows a schedule of jorge’s payment plan for a car. jorge’s payment plan year balance monthly payment end of year balance 1 $15,469.80 $257.83 2 $257.83 3 $257.83 4 $257.83 5 $257.83 6 $257.83 how many years will it take jorge to pay off the loan? 3 years 4 years 5 years 6 years
The number of the years is 5 which is taken by Jorge to pay off the loan. Then the correct option is C.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The table shows a schedule of Jorge’s payment plan for a car.
Jorge’s payment plan year balance monthly payment end of year balance.
The price of the car is $15,469.80
The monthly payment will be $257.83
Then the number of the years taken by the Jorge to pay off the loan will be
[tex]\rm \rightarrow \dfrac{15469.8}{257.83} \\\\\rightarrow 60 \ months \\\\\rightarrow 5 \ years[/tex]
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Answer:
The correct option is C
Step-by-step explanation:
I took the unit test just 5 min ago god bless
#Chalnge share the favor who ever sees this find a question and answer it and say what this says
God loves you all no matter what you do just ask for forgiveness
God really loves us all
Last Wednesday, students could choose ham or turkey sandwiches for
lunch. The cafeteria made 100 sandwiches in all, 70 of which were turkey.
What percentage of the sandwiches were turkey sandwiches? *
How should the headings of a résumé be formatted so that they are clear and easy to find? a. bold and italicized b. capitalized and bold c. underlined and italicized d. capitalized and underlined
The headings of a résumé should be capitalized and bold formatted so that they are clear and easy to find.
What do you mean by headlines?Headlines are the main topic or the highlighted part of any paragraph which indicates the nature of the article.
The headings of a résumé should be formatted so that they are clear and easy to find.
The headings indicate the nature of the article so it should be highlighted or different from the summary.
The heading must be capitalized and bold which makes the text different from the summary.
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Answer:
B. EDG 2023
Step-by-step explanation:
Just took practice
Please help don’t understand at alll
Answer:
47.3
Step-by-step explanation:
To find the standard deviation use this example formula
[tex]a =\sqrt{\frac{(x-u)^{2} }{N} }[/tex]
a = your answer, the standard deviation you are looking for
x = the value of each carrier
u = the carrier numbers mean (such as mean, median, and mode)
N = the overall total of the carriers
If you find this equation still confusing one of my favorite sites to use is Math.way, where you plug in each number with a comma in between and it solves it for you. Other sites work such as Calculatornet, Calculator.Soup, and Math.is.Fun.
Hope this helps :)
Which of the following is a simple event?
1.Getting a spade card
2.Getting a numbered card
3.All of the choices
4.Getting an ace of diamond card
A cylinder has a height of 15 yards its volume is 15,260.4 what is the radius of the cylinder
Step-by-step explanation:
As it is given that, a cylinder has a height of 15 yards and the volume of the cylinder is 15,260.4 cubic yards and we are here to find the radius of the cylinder.
[tex] \: [/tex]
We know that,
[tex]{ \longrightarrow\qquad{\frak {\pmb{ \pi {r}^{2}h = Volume_{(cylinder) } }}}} \\ \\[/tex]
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .[tex] \: [/tex]
Now, we will substitute the given values in the formula :
[tex] \: [/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ 3.14 \times {r}^{2} \times 15 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \times 47.1 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} = \dfrac{15260.4}{47.1} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \ = 324 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ r = \sqrt{324} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\[/tex]
[tex] \: [/tex]
Therefore,
The radius of the cylinder is 18 yards .Answer:
Radius of the cylinder is 18 yardsStep-by-step explanation:
Given:
Height of cylinder (H) = 15 yardsVolume of cylinder = 15,260 yd³To Find:
Radius of the cylinderSolution:
Here we are given height and volume of the cylinder. To find the radius of the cylinder We will substitute the value of height and volume in give formula:
Volume of cylinder = πr²h
➝ 15,260.4 = 22/7 × (r)² × 15
➝ 15,260.4 = (r)² × 330/7
➝ 15,260.4 = (r)² × 47.1
➝ 15,260.4/47.1 = (r)²
➝ 324 = (r)²
➝ √324 = r
➝ 18 = r
Hence,
Radius of cylinder is 18 yardsA school has 4 steps to the front door. Each step is 7 inches tall. Design a ramp for the
school.
The multiplication shows that the total steps for the ramp will be 28 inches.
How to calculate the steps for the ramp?From the information given, the school has 4 steps to the front door and each step is 7 inches tall.
In this case, the total steps of the ramp will be gotten by multiplying the values. This will be:
= 4 × 7 = 28 inches.
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how do i solve for x : x/3 = 5?
Answer:
x/3=5
cross multiply
x=3x5
x=15
Answer:15
Step-by-step explanation:
Step 1: Multiply both sides by 3.
x over 3 = 5
(x/3)*(3)=5*3
x=15
It is now quarter to ten. What time will it be in four hours and fifty-one minutes?
Answer:it would be 2:22
Step-by-step explanation:
If there’s 25 minutes till 10 so therefore it would be 9:35 and since it’s 9:35 four hours and 51 minutes from then would be 2:22 because the minutes would add up to 82 minutes and four hours so your answers to 2:22