Answer:
30
Step-by-step explanation:
divide both sides by 12 to find y
12y / 12 = y
360 / 12 = 30
therefore y = 30
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 +
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)
To learn more on Three dimensional figure click:
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Help would be well appreciated!!!!!!
AABC-ADEF so if BC = 10, EF = 25 and AB = 20, then DE =
7.2.....................................
40.185 + 0.01
Round your answer to the nearest
hundredth.
Answer:
40
Step-by-step explanation:
Answer:
40.20 luv:)
Step-by-step explanation:
what is the answer for
Determine the constant of proportionality for the graph.
10 1/5 5 or 2
Answer:
1/5
Step-by-step explanation:
y = kx
k is the constant of proportionality
Pick any of the indicated points.
Using point (20, 4)
4 = k(20)
Divide both sides by 20
4/20 = k
reduce
1/5 = k
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test at a 5% significance level to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
At the alternative hypothesis, it is tested if it has increased, that is:
[tex]H_1: \mu > 2.5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]
[tex]z = 1.7[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
A similar problem is given at https://brainly.com/question/24166849
Can you’ll help me pls , I really need help.
Answer:
-t + 4.5>7
Step-by-step explanation:
-18 = t
-t = 18
18+4.5 = 22.5
22.5>7
Boom
hope it helps :)
A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much interest will the customer earn in 20 years
Answer:
$3540
Step-by-step explanation:
See explanation
Step-by-step explanation:
The Simple Interest will be calculated as:
= P × R × T
= $3000 × 1.8% × 10.
= $3000 × 0.018 × 10
= $540
The interest that the customer earn in 10 years is $540.
Then, the account balance after 10 years will be:
= Principal + Interest
= $3000 + $540
= $3540
Therefore, the account balance will be $3540
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
Answer:
16
Step-by-step explanation:
Because 25 - 9 = 16
Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
Answer:
<-2
Step-by-step explanation:
i took the test
Answer:
<-2
Step-by-step explanation:
k12
all quiz answers for a crown!
y+5 = -3/2(x-2) in slope intercept form
Answer:
y = -3/2x -2
Step-by-step explanation:
Solve for y:
y +5 = -3/2x +3 . . . . . eliminate parentheses
y = -3/2x -2 . . . . . . . . subtract 5
The slope-intercept form of the equation is ...
y = -3/2x -2
Answer:
[tex]y = -\frac{3}{2} x -2[/tex]
Step-by-step explanation:
[tex]y+5=-\frac{3}{2} (x-2)[/tex]
The slope-intercept form is [tex]y =mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.
[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]
[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]
[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]
place the comma in the position in the answer
[tex]4.7 \times 2.9 = 1316[/tex]
First of all, 4.7 * 2.9 = 13.63, so I think a mistake has occurred there and second, comma does not come here because this is not a big number, it is a small number. If you meant a dot instead. it would placed in the middle AKA 13.63
Would appreciate brainliest <3
Divide 35 in the ratio 3:2
[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]
hopefully it's helpManuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.
Answer:
7300
Step-by-step explanation:
this is because 3 is in the hundreds column and is rounded down
because the number behind is 3 so it stays the same some it is 7300
[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]
[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]
URGENT!!!! UNIT 4 CONGRUENT TRIANGLES
HOMEWORK 6 PROVING TRIANGLES CONGRUENT: ASA AAS AND HL
As per the question there are four congruent tringles and these congruency is that all sides are equal in length and size.
The four triangles are ASA, AAS and HL. The ∠BD divides ∠ABD. ∠BDA is equal to ∠BCD as given. In second, ST is parallel to UN and congruent to VU. That is also given. In the third statement the FH bisects the ∠EHG. FRH is congruent to FGH. Hence given.Learn more about the PROVING TRIANGLES CONGRUENT: ASA AAS AND HL.
brainly.com/question/25544949.
in the diagram above <1=135 find the measure of <3
12×6×2+10×6×2+12×10×2
Answer:
504
Step-by-step explanation:
The answer is 504.
Thank me later
Round 8,213 to the nearest thousand
Answer:
yes
Step-by-step explanation:
because 8213 its come to 10000 also
Find the Slope. Show the solution.
1. m = y2 - y1/ x2 - x1
| x | 0 | 1 | 2 | 3 | 4 |
| y | 2 | 3 | 4 | 5 | 6 |
2. y= 2x - 5
m = rise/run
3. (1,8) & (0,2)
Please answer correctly,thank youu! :)
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answer: y = -66x + 201
Step-by-step explanation:
how do i solve reflections
[tex]how \: do \: i \: solve \: reflection[/tex]
Answer:[tex]reflection \: a \: geometric \: transformation \: resulting \: in \: a \: mirrior \: image. \: in \: a \: reflection \: a \: shape \: is \: flipped \: over \: a \: mirrior \: line \: or \: line \: of \: reflection \: to \: face \: the \: opposite \: direction.[/tex]
An item sells for $40. The sales tax is 8%. What is the total cost of the item?
Answer:
43.20
Step-by-step explanation:
I looked up what is 8% of 40 then added it to 40
Step-by-step explanation:
the item sold $40
the sales tax 8%
8/100*40
3.5
6x-14<-14 or 3x+10>13
Step-by-step explanation:
not sure the question but I can solve the equations
6x-14<-14
6x<0
×<0
3x+10>13
3x>3
×>1
7x-3y = 8
3x-4y = 1
solving this by using eliminination method.
Lucazz please solve this
Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 what does mac and cheese cost per pound?
Answer:
It costs $0.4 per pound of mac and cheese.
Step-by-step explanation:
3/7.50 = 0.4
Hope this helped. :)
An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
Find the unit rate. Round to the nearest hundredth, if necessary.
Carpet for $150 for 8 ft2
Answer:
Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
If you answer it right i will give Brainliest. Take 7 times 5= divided by 25 times 100 = divided by 300.
Step-by-step explanation:
7×5÷25×100÷300
25÷5=5
7×5×100÷300
300÷100=3
7×5×3=105
Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?
Answer:
$ 50.00
Step-by-step explanation:
Hope this helps!
△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
x = 25Step-by-step explanation:
According to picture, PQ and MN are corresponding sides of congruent triangles.
PQ = MN70 = 3x - 53x = 70 + 53x = 75x = 25