The equation for the volume of the prism will be given as V=x^3+3x^2
What will be the equation of volume of the prism?The volume of the prism is given by the following formula
[tex]\rm Volume = Width\times Length\times hieght[/tex]
Here we have a condition in the question that
The height of a right rectangular prism is 3 units greater than the length
[tex]h=x+3[/tex]
length will be l = x
The width will be w=x
now by putting the value in the formula we get
[tex]\rm Volume = w\times L\times h[/tex]
[tex]\rm Volume = x \times x \times (x+3)[/tex]
[tex]\rm Volume = x^3+3x^2[/tex]
Thus the equation for the volume of the prism will be given as [tex]V=x^3+3x^2[/tex]
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Solve for A, w = 7a + 4b
Answer:
a= 7w-28b
Step-by-step explanation:
w= 7a +4b
-4b
w-4b =7a
w/7 - 4b/7 =7a/7
a= w/7 -4b/7
a= 7w-28b
Twelve of the comic books in Rachel's collection are in mint condition. If 6 of her collection is in mint condition, how
many comic books are in her collection?
Which equation can be used to solve the problem above?
O 12-3-1
0-12-1
O - - 12
on-12-13
PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECT
Answer:
This question makes no sense... It says 12 are in mint condition, then says only 6 are? I'd just say 18? I have no clue what equation to go with though. Sorry.
Step-by-step explanation:
Answer:
"A" is correct.
Find the volume:
the picture below
Answer:
1,848m
Step-by-step explanation:
7x24x22= 3,696
Since it's a triangle, we split it into 2.
3,696÷2= 1,848
Therefore, your answer is 1,848.
Hope this helps!
Una empresa comercial vende automóviles cuyo precio es de S/.60000, con una cuota inicial del 20 % , para cancelar el saldo en treinta meses de plazo . Calcula la cuota fija mensual que se pagara si la empresa cobra una tasa de interes simple del 12% semestralmente
Responder:
$ 2560
Explicación paso a paso:
Dado lo siguiente:
Importe total (A) = 60000
Pago inicial = 20% de A
Pago inicial = 0,2 * 60000 = 12000
Importe pendiente de pago = (60000 - 12000) = 48000
Calcular el interés simple sobre el saldo de 48000 = principal
principal * tasa * tiempo
(48 000 * 0,12 * (30/6))
48000 * 0,12 * 5 = 28800
Por tanto, el importe total a pagar durante 30 meses será:
(48 000 + 28800) = 76800
Dado que el pago mensual es fijo:
Pago mensual = (monto total a pagar / cantidad de meses)
Pago mensual = (76800/30)
Pago mensual = $ 2560
A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=25000+3000x,f(x)=25000+3000x, where xx is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.
The values of the function are,
f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.
f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.
The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.
Given that,
The function is,
[tex]f (x) = 25000 + 3000x[/tex]
Where x is the number of siblings.
Hence, the values of the function are found as,
[tex]f (x) = 25000 + 3000x[/tex]
Put x = - 3;
[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]
[tex]f (- 3) = 25000 - 9000[/tex]
[tex]f (- 3) = 16,000[/tex]
Put x = 3;
[tex]f (x) = 25000 + 3000x[/tex]
[tex]f (3) = 25000 + 3000 \times 3[/tex]
[tex]f ( 3) = 25000 + 9000[/tex]
[tex]f (3) = 34,000[/tex]
Since the given function is,'
[tex]f (x) = 25000 + 3000x[/tex]
Regarding the domain of the function,
Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.
Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.
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For the given question some parts of the question are shown in the attached image.
Complete the synthetic division problem below. -31 2 - 2 3 What is the quotient in polynomial form?
Answer:
the answer is // x^2 - x +1 (apex)
Step-by-step explanation:
In WYMLA there are 60 sixth graders. A mind-blowing 42 thinks that Mr. Strader is the coolest teacher in the world. What percentage of the 6th graders are right, Mr. Strader is the coolest teacher in the world? EXPLAIN IN DETAIL how you would solve this problem and give the answer.
What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?
Answer:
Step-by-step explanation:
Let the number = x
So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.
You can write this as:
[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]
Then you want to get rid of the fractions so multiply both sides by 3-x
[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]
Then multiply both sides by 7
[tex]7( 5 - x) = 5 ( 3 - x)[/tex]
Multiply it out.
35 - 7x = 15 - 5x
Add 7x to both sides:
35 = 15 - 5x + 7x
35 = 15 + 2x
Subtract 15 from both sides
35 - 15 = 2x
20 = 2x
To find x, divide both sides by 2.
x = 10.
The running track behind the local gym is 3/ 4
mile long. The track and field team ran 2 2/3
laps around the track. How many miles did the team run? PLZZ help its timed
Answer:
2 Miles.
Step-by-step explanation:
[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].
Your final answer is 2 miles.
evaluate -16 + 9 - 5
Answer:
-12
Step-by-step explanation:
add -16 and 9 together to get -7 then add the -5 to get -12
Answer:
-12
Step-by-step explanation:
(PEMDAS)
( -16 + 9 ) - 5 = -12
-7 - 5 = - 12
Hope this helps!
Please ASAP thank you
Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5~= <7 - Vertical Angles Theorem
line l || line m - Transitive Property
HELP ASAP PLEASE!!
The graph of part of a linear function is shown below. Which of the following represents the
domain of the function?
answer choices in picture
Answer:
im pretty sure that is choice c
Step-by-step explanation:
Answer:
Choose the correct verb form. Identify the reason for the use of each tense.
1. That's the phone. I WILL ANSWER/AM ANSWERING it.
2. I think he is GOING TO BE/WILL BE happier there.
3.Now that I've got some money I WILL BE BUYING
/AM GOING TO BUY a new PC.
4. WILL YOU WORK/ARE YOU WORKING tomorrow
afternoon?
5 This time next week we ARE TRAVELLING /WILL BE TRAVELLING to Chile.
6. Sorry! I WON'T/AM NOT GOING lie again.
7. He's wearing his T-shirt, shorts and trainers. He
WILL BE PLAYING /IS GOING TO PLAY football.
When converting a mixed number to improper you add a nominator and or number then multiply the sum with the numerator true or false
Answer:
the answer is false. you first multiply the number by the numerator then add it to the denominator
This is a rotation question and I need to know if its correct ! please help
Answer:
R'= (-4, -1) S'=(-2,1) Q'=(0,0)
Step-by-step explanation:
No, you rotated the triangle 90 degrees clockwise, rotate the triangle counter clockwise (Left not right). the coordinates would be
What is the y-intercept of 3x+5y=−30 ?
(0,−6)
(−6,0)
(10,−6)
(0,10)
Answer: (0,-6)
Step-by-step explanation:
To find the y-intercept, we can rewrite the equation into slope-intercept form.
3x+5y=-30 [subtract both sides by 3x]
5y=-3x-30 [divide both sides by 5]
y=-3/5x-6
Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).
What is the value of x in the equation 2.5 (6x - 4) = 10 + 4(1.5 + 0.5x)?
1/3
1/2
2
13
[tex]15x - 10 = 10 + 6 + 2x[/tex]
[tex]15x - 10 = 16 + 2x[/tex]
Plus sides 10
[tex]15x - 10 + 10 = 2x + 16 + 10 \\ [/tex]
[tex]15x = 2x + 26[/tex]
Subtract sides -2x
[tex]15x - 2x = 2x - 2x + 26[/tex]
[tex]13x = 26[/tex]
Divided sides by 13
[tex] \frac{13}{13}x = \frac{26}{13} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
Done.....♥️♥️♥️♥️♥️
Answer:
Um yes what they said :) I got 2 too.
Step-by-step explanation:
4 to the power of -1
Answer:
0.25
I hope this helps!
Answer:
1/4
Step-by-step explanation:
Negative exponents basically flip the number upside down,
so 4 ^ -2 would be 1/4^2
where the four has a power of 2.
The answer would therefore be 1/16
Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.
Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.
Answer:
T
Step-by-step explanation:
It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they work together it would take them 2 hours to retile their bathroom. How long would it take for Delia to retile the bathroom alone?
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]
[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]
[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours
Write the equation of the line that passes through the points
(-2, -1) and (2, 4). Put your answer in fully reduced point-
slope form, unless it is a vertical or horizontal line.
Answer:
Step-by-step explanation:
Step 1 : Find the slope/gradient (this is known as "m")
The slope formula is :
[tex]m = \frac{y2 - y1}{x2-x1}[/tex]
*Note that we are given 2 points:
For the first point (-2,-1) , this means x1 = -2 and y1 = -1
For the second point (2,4), this means x2 = 2 and y2 = 4
If we substitute those values into the slope formula you end up with this:
[tex]m = \frac{y2-y2}{x2-x1} = \frac{4 - (-1)}{2 - (-2)} = \frac{4+1}{2+2} =\frac{5}{4}[/tex]
Step 2: Substitute the values into the point-slope formula:
[tex]y - y1 = m(x- x1)[/tex]
Now that we know m = 5/4 , you can substitute this into the above formula and you get:
[tex]y - y1 = m(x- x1)[/tex]
[tex]y - (-1) = \frac{5}{4} (x - (-2)) \\y + 1 = \frac{5}{4} ( x + 2)[/tex]
[tex]y = \frac{5}{4}(x + 2) - 1[/tex]
Willy's candy shop selld special bags of candy. Amy bought 5 bags and found she had 60 pieces of candy. Mia bought 10 bags and found she had 130 pieces of candy. How many pieces of candy are there per bag?
Answer:
There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.
Step-by-step explanation:
Draw it out.
PLZ HELP!!
Fill in the blanks to complete the steps for finding the equation of a perpendicular line.
The value of m to be substituted in y – y1 = m(x – x1) is the negative reciprocal of the slope of the given line.
Substitute this in _______________.
Substitute the given _______, (x1, y1), in the point-slope form.
Isolate y by _____________ and ____________ to rewrite the equation in slope-intercept form: y = mx + b.
Answer:
The value of m to be substituted in y – y1 = m(x – x1) is the negative reciprocal of the slope of the given line.
Substitute this in for m.
Substitute the given point, (x1, y1), in the point-slope form.
Isolate y by multiplying out m and subtracting y1 to rewrite the equation in slope-intercept form: y = mx + b.
It should be something like this, hope this helped you!
Sam wanted to find three consecutive even numbers that add up to 84. He wrote the equation k + (k + 2) + (k + 4) = 84. What does k reperesent? a) The least of the three even numbers b) The middle even number c) The greatest of the three even numbers d) The average of the three even numbers.
Answer:
I may be wrong here, but I think it's C If not then I have no idea ;-;
Step-by-step explanation:
Jane has $125 in her bank account. Her cell phone bill is $47 a month. If she pays that bill two months in a row and doesn’t buy anything else or deposit any money, how much money does she have left?
47+47=94
125-94=31
She will have 31 dollars left
The heaviest land animal ever recorded (according to the Guinness Book of World Records) was a male African bush elephant. He weighed 13.5 tons measured to the nearest half-ton. How would you find the elephant’s minimum and maximum possible weights?
Answer:
The largest African elephant weighed 13.5 tons (27,000 pounds) The world record holder weighed this much and stood 13ft/4m tall at the shoulder. There are other species of elephants, namely the Asian and the Indian, but they are much smaller than the African. The African elephant is the king among the giants on land. No other land animal comes close to the size of these creatures. It would take 165 full-grown men to make up the same weight as the world's record African elephant. The noise of an elephant digesting its food (when its tummy's growling) can be heard up to 600ft/183m away. Elephants actually have control over their digestive processes because they are able to stop the sounds of digestion when they sense danger. Here are some other cool elephant factoids:
EVALUATE USING ALGEBRIC IDENTITES
1204²
Answer:
1449616
Step-by-step explanation:
Which distribution is less variable? How do you
know?
This is on my test and I’m pretty stuck on how to answer, thank you for answering if you did:)
Asap
The lines below are perpendicular if the slope of the green line is 2/3 what is The slope of the red line
Answer:
-3/2
Step-by-step explanation:
If the slope of a line is a fraction, flip it and change the sign to find the slope of a perpendicular.
-3/2
Matematicas ¡con procedimientos por favor! :( 1. 4(6)-2(8)+4-576 2. 2 3/4+8 3/4 3.(9/4)(6/59(1/2) 2/6 ÷ 6/5 5. Expresa el lenguaje comun 6x - 3 6. Expresa a lenguaje algebraico. "la quinta parte de un numero mas el doble de otro numero diferente. 7. Si con 7 L de gasolina recorro 30 km, con 18 L ¿Cuantos kilometros recorrere? 8. Si con 17 pizzas gigantes comen 90 personas, con 40 pizzas ¿cuantas personas comen?
Answer:
1. -564
2. 11 1/2
3. 45/472
5. 3(2x - 1) = 3(2x) - 3(1)
6. 1/5(x) + 2y
= x/5 + 2y
7) 77.1km
8. 211.8 pizzas
Step-by-step explanation:
1. 4 (6) -2 (8) + 4-576
= 24 - 16 + 4 - 576
= 24 + 4 - 16 - 576
= 28 - 16 - 576
= 28 - 592
= -564
2. 2 3/4 + 8 3/4
Mínimo común múltiplo de los denominadores = 4
2 3/4 + 8 3/4
= (2 + 8) + (3 + 3/4)
= 10 + (6/4)
= 10 + 1 2/4
= 10 +1 1/2
= 11 1/2
3. (9/4) (6/59 (1/2) 2/6 ÷ 6/5
BODMAS
= 9/4 × 6/59 × 1/2 × 2/6 ÷ 6/5
= 9/4 × 6/59 × 1/2 × 2/6 × 5/6
= 45/472
5. Expresar el lenguaje común 6x -3
Factoriza la expresión algebraica
6x - 3 = 3 (2x - 1)
3 (2x - 1) = 3 (2x) - 3 (1)
6. Expresar en lenguaje algebraico. "La quinta parte de un número más el doble de un número diferente.
Sea un número representado por x
Sea un número diferente representado por y
Por lo tanto:
1/5 (x) + 2 años
= x / 5 + 2y
7. Si con 7 L de gasolina recorrí 30 km, con 18 L, ¿cuántos kilómetros?
7 L = 30 km
18 L = x km
Cruz y
7L × x km = 18L × 30km
xkm = 18L × 30km / 7
= 77.142857143km
≈ 77.1 kilometros
8. Si con 17 pizzas gigantes comen 90 personas, con 40 pizzas ¿cuántas personas comen?
17 pizzas gigantes = 90 personas
40 pizzas =
Cruz multiplicar
40 pizzas × 90 personas / 17
= 211.76470588 pizzas
≈ 211.8 pizzas
Complete the following two-column proof that proves the Congruent Supplements Theorem. HELP ME ASAPPPP BRO PLEASE DUED BY TONIGHT. but I missed class or school today so i honestly have no idea what it is. SO PLEASE ANYONE OUT THERE HELP A GIRL OUT FR FR.
Supplementary angles are angles that sum up to 180 degrees
Step 1:
If m<x and m<y are supplementary, hence;
m<x + m<y = 180 ....................1
Step 2:
If m<y is a supplement to m<z, hence:
m<y + m<z = 180 ...........................2
Equating 1 and 2
m<x + m<y = m<y + m<z
Subtract m<y from both sides
m<x + m<y-m<y = m<y + m<z - m<y
m<x = m<z
This proves the statement m<x = m<z
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