The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.
Answer:
The volume of the prism is x^3 + 16x^2 + 63x
Step-by-step explanation:
Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism
The area of the base is l * w
= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63
The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x
Gavin has $50,000 with which to start a new business. He wants to maintain a cash balance of more than $26,000.
If w is the amount Gavin withdraws to pay for expenses, the inequality representing the situation is BLANK. The amount he can withdraw is given by BLANK.
Answer: the answer is $76,000 dollars.
Step-by-step explanation:
$50,000 + $26,000= $76,000
What’s it the slope of the line
Answer:
3/4
Step-by-step explanation:
the graph point starts at the y-intercept 1 and then moves 4 digits forward and 3 digit upward
Answer:
Since the slope doesn't go down we can safely ignore -3/4 and -4/3.
The slope goes up 3 and 4 to the right.
y = 3
x = 4
y/x
so the answer is 3/4
Question 1
Solve the equation formed when f (x) = g(x).
f (x) = 3x – 4
g(x) = -2x + 1
X = -4
X = -1
X = 1
X = 4
Answer:
X= -4
PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!!!!!!!!
54÷6+0.42×(9×8÷2+82)
Answer:
58.56
Step-by-step explanation:
PLEASE HELP ME! I NEED YOU TO HELP ME! WHOEVER ANSWERS CORRECTLYWILL GET A BRAINLEST AND POINTS!!!
On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific, however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.
4x3 = 756
What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.
Answer:
Since, we are asked to present an exact solution, we are not able to give approximations.
The term exact means that you need to give the answer like this:
If we were asked to give an approximate result it would be like this x = 5,738.
f=4x%5E%7B3%7D%20%3D%20756%5C%5Cx%5E%7B3%7D%20%3D%20%5Cfrac%7B756%7D%7B4%7D%20%5C%5Cx%5E%7B3%7D%20%3D%20189%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B189%7DHence, our answer is
Step-by-step explanation:
The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?
The constant of proportionality is 5.5
Step-by-step explanation:
y = kx
k = constant of proportionality
y = 5.5x
Answer:
d
Step-by-step explanation:
A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE
Answer:
disagree because x should equal one
x=1
Step-by-step explanation:
5x times 4 =20
divide both sides by 5 times 4
x=1
i have a question can someone help me!!
−7+m/2=−12
Solving Two-Step
Answer:
m=-10
Step-by-step explanation:
Answer: m = -10
[tex]-7+\frac{m}{2} =-12\\\\<=>\frac{m}{2}=-5\\\\<=>m=-5.2=-10\\[/tex]
Step-by-step explanation:
2 2 7 :(0.6x)= 4 21 :0.25
lol my phones taken away until i finish this question help
Answer:
i don't exactly know what the question is but based off what i understand x=140
Step-by-step explanation:
Answer:
what are you trying to solve, be more elaborate on your question
Step-by-step explanation:
Steven is comparing the cost of a fresh lobster dinner at two different restaurants. The first
restaurant charges $51 for the meal, plus $2 per pound for the lobster he picks. At the
second restaurant, Steven would pay $4 per pound for the lobster, in addition to $19 for the
meal. Steven realizes that, in theory, dinner at both restaurants could cost the same amount
if the lobster had a certain weight. How much would Steven pay for his dinner? What is the
weight?
Answer:
Step-by-step explanation:
2x+51=4x+19
32=2x
x=16. The weight is 16 pounds
plug it back in to find the cost
32+51=83. 64+19 = 83. The cost is 83 dollars
What is the equation of in line slope intercept from that has a slope of 4 and goes through the point -8 -16
Answer:
Step-by-step explanation:
is your qustion like -8-16 because its -24
Answer:
y = 4x + 16
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 )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 8, - 16) into the partial equation
- 16 = - 32 + c ⇒ c = - 16 + 32 = 16
y = 4x + 16 ← equation of line
While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100
km/hr. She asks you if you know how fast you were driving. You suddenly realize that your
speedometer's "100" measures miles/hr, not km/hr. How fast were you going?
Answer:
Speeding at 160.934 km/hr
Step-by-step explanation:
1 mile = 1.609344 kilometers
1.609344 * 100 = 160.934 kilometers
Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:
Answer:
x=-1/2y , +3/4b, 7/4 this is the answer
The y-intercept is (0, 5) and the x-intercept is (2.5, 0).
What is an intercept of the straight line?In the context of a straight line in a two-dimensional plane, an intercept refers to the point(s) where the line intersects with one or both of the coordinate axes (i.e., the x-axis and the y-axis).
To find the y-intercept, we set x = 0 and solve for y:
-4(0) + 7 = 2y - 3
7 = 2y - 3
2y = 10
y = 5
Therefore, the y-intercept is (0, 5).
To find the x-intercept, we set y = 0 and solve for x:
-4x + 7 = 2(0) - 3
-4x + 7 = -3
-4x = -10
x = 2.5
Therefore, the x-intercept is (2.5, 0).
To know more about an intercept follow
https://brainly.com/question/29112593
#SPJ7
the square root of 72 is it closer to 8 or 9
Change each radian measure to degree measure
Answer:
13)60°
14)90°
15)-270°
16)-180°
17)30°
18)150°
19)120°
20)300°
21)210°
22)-315°
23)450°
24)720°
25)-1260
26)-810°
27)45°
28)135°
29)-300°
30)15°
31)1170°
32)-240°
Step-by-step explanation:
Please answer this..........
Answer:
The answer would be 126
Step-by-step explanation:
you add 28+35 which is 63, then you multiply by 8 which is 504 and you multiply by 1/4 which is 126 :)
I need help big time
Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?
Answer:
70000
Step-by-step explanation:
Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?
Answer:
392000
Step-by-step explanation:A=p(1+
jules loses a golf ball
Answer:
Ok. I'm sorry Jules lost a golf ball. Is there a question?
Answer:
jus buy a new one
Step-by-step explanation:
they lost the golf ball so they need to buy a new one cuh
State the slope and y-intercept of the graph of y - x = -2.
Answer:
the slope is 1
the y-int is -2
Answer:
Slop=1 y-intercept=-2
Step-by-step explanation:
Solve and graph the following solutions to
the following inequality. SHOW ALL WORK.
3
- r < -15.
Answer:
1.she is not working and the iran.
What is the distance between the
two points
(7.8)
{3,2)
To find the exact difference, we have to subtract the two decimal points.
1. First, we'll subtract the whole number. Then, we'll subtract the decimal number. This will make mental math easier.
a. 7 - 3 = 4
b. 8 - 2 = 6
2. Add the answers together to get your final answer.
a. = 4.6
The exact distance between the two points is 4.6. If you can't figure this strategy out, do algorithm. The simplist way to solve this is to use a calculator, which I checked my answer on. Have a nice day! :)
please help asap! it’s 1-10!
Answer:
1. yes, 3:2
2. no, population has an unproportional rate of change.
3. no, miles have an unproportional rate of change.
4. yes, 8:1
5. no, questions have an unproportional rate of change.
6. yes, 5:2
7. yes, 9:1
8. no, pounds have an unproportional rate of change.
9. no, days have an unproportional rate of change.
10. yes, 3:1
please help me with this
Answer:
y = [tex](x - 2)^{2}[/tex]
Step-by-step explanation:
the graph shows the vertex is (2,0); which means it is
y = [tex](x - 2)^{2}[/tex] which show 2 units to the right on the x-axis and staying at y=0
What are ALL the digits of pi??
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 .
Step-by-step explanation:
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?
Answer:
7:3
Step-by-step explanation:
The number of yellow marbles: the number of blue marbles
Answer:
7:3
Step-by-step explanation:
there are 7 yellow marbles and 3 blue marbles
A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?
Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
Estimate by rounding both numbers to tens and then divide.
61 ÷ 29 is approximately
Answer:
2
Step-by-step explanation:
Round: 61 → 60Round: 29 → 30Divide: 60 ÷ 30 = 2I hope this helps!