The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answers
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
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Step-by-step explanation:
I don't know but use a calculator
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Step-by-step explanation:
Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.
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Answer:
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Step-by-step explanation:
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If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?
Answers
Answer:
99 cents
Step-by-step explanation:
one quarter=25 cents
nine pennies= 9 cents
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Answer:
99 cents
Step-by-step explanation:
quarter = 25 cents
pennie = 1 cent
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tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives
Answers
Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Identify an equation in point-slope form for the line parallel to y-x-4 that
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O A y-7 - (x+1)
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O C. -?.5(x+1
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y-
O D. yt? (x-1)
SUBMIT
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Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form
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Parallel lines have equal slopes
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Here (a, b ) = (- 1, 7 ) , then
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Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?
Answers
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answers
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
How do you find the slope of a line.
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Answer:
7502040
Step-by-step explanation:
you can have 6 women,5 women and 1 men,4 women and 2 men,
in first case,you can place women in 15*14*13*12*11*10 ways
in second case
15*14*13*12*11*7
and in third case
15*14*13*12*7*6
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Answer:
Translation 2 units up and 4 units to the left.
The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)
Answers
If you do 33/3 it is 11
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Answers
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
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In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
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[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
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The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
Jaycee and Tyler are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised 210$. If Jaycee raised 70$ how many candy bars did he sell?
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
es 54 espero que esto ayude adiós!
Step-by-step explanation:
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.
El volumen de un cilindro es:
Volumen = πr²h
Given that: r = 6 cm; h = 9 cm;
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El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
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To create a partial product of the value using an array, we will follow the following steps
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Find the array box attached
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14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
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Answer:
I'm an island boii ️️
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Answers
Answer:
66
Step-by-step explanation:
Multiplying 8 by 2 which gives you 16.
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Answer:
36
Step-by-step explanation:
33.33333...% is 1/3 of a number
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Answers
Answer:
7 - [tex]x^{2}[/tex]
Step-by-step explanation:
This is the answer because:
1. "Difference" means subtraction
2. The statement basically is saying, what is 7 subtracted by the square of x
3. That simplifies to 7-x^2
Hope this helps!
Hi there! (:
The difference of means we subtract:
7-f² (let the number be f)
Hope it helps!
~An excited gal
#StayJoyful
[tex]SparklingFlower[/tex]
(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?
Answers
Given that :(1/3)^-2 + (1/4)^-2 = 125^x
⇛[1/(1/3)]²+[1/+1/4)]² = 125^x
Since a^-n = 1/a^n
⇛ (3)²+(4)² = 125^x
⇛ (3×3)+(4×4) = 125^x
⇛ 9+16 = 125^x
⇛25 = 125^x
⇛ 5² =( 5³)^x
⇛ 5² = 5^(3x)
Since (a^m)^n = a^mn
⇛ 2 = 3x
Since the bases are equal then exponents must be equal
⇛3x = 2
⇛ x = 2/3
Therefore,x = 2/3
Answer:- The value of x for the given problem is 2/3.
also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..
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kyle has an indoor basketball court. the rectangular court has a perimeter of 200 feet. the length of the court is 12 feet less than three times the perimeter. write an equation to determine the dimensions of the court.
Answers
Answer:
200 x 3 - 12=588
Find the selling price for each item given the cost and the percent of the markup or discount.
flat-screen TV: $669; 23% markup
A. $153.87
B. $692
C.515.13
D.822.87
Answers
Explanation: you would do 669 times .23 which would equal 153.87 and then u would add 669+153.87 which equals $882.87
put a factor back into the square root.
[tex]3 \sqrt{2a}[/tex]
Answers
Answer:
sqrt(18a)
Step-by-step explanation:
3^2=9
2*9=18
sqrt(18a)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3√(2a)
A factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
3² = 9
Thus,
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
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How to graph an equation.
Answers
Answer:
Below
Step-by-step explanation:
To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b
We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.
Hoped this helped.
What is the answer?? I need help!!
NO LINKS!!!
Answers
Function
Use "vertical line test"
searched it if you don't know
Step-by-step explanation:
yes, it is a function.
every value of x has exactly one associated (result) value of y.
that several different x have the same result value y, is not a problem.
a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.
Can anyone help me with this question please I really need help please I’ll mark as brainliest
Answers
Answer:
[tex]f(x)=-11\times(7^x^-^1)[/tex]
Step-by-step explanation:
Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:
[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following
[tex]f(x)=-11\times(7^x^-^1)[/tex]
