The required width of the rectangular prism is 16in.
What is a rectangular prism?
A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.
Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.
Given that, The volume of prism V=[tex]532 in^{3}[/tex]
The length of prism , L= 19in.
The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].
The width, W=?
The rectangular prism has volume V=Length×Height×Width.
Therefore, 532=19×(7/4)×W
So, 532×4=19×7×W
Thus, (532×4)/(19×7)=W
Therefore, W=16in.
Thus, the width of the rectangular prism is 16in.
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Complete the table.
x 0 3
y=13x+2
Answer:
41
Step-by-step explanation:
If x equals 3:
13x3 is 39
39+2 is 41
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 5)(x + 3)(x - 2)2
Answer:
if you learned derivative:
f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)
=4x³+12x²-26x-28=0
⇒x=2; =-0.84; =-4.16
⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)
if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing
Step-by-step explanation:
some friends played a board game. during the game, one unlucky player had to move back 7 spaces 5 turns in a row
Answer:
35
Step-by-step explanation:
[tex]\sf 4\left(x+2\right)-2x=0[/tex]
Answer:
x = -4
Step-by-step explanation:
Step 1: Apply distributive property.
[tex](4)(x)+(4)(2)-2x=0[/tex] [tex]4x + 8 - 2x = 0[/tex]Step 2: Combine like terms.
[tex](4x-2x)+(8)=0[/tex] [tex]2x + 8 = 0[/tex]Step 3: Subtract 8 from both sides.
[tex]2x + 8 - 8 = 0 - 8[/tex] [tex]2x = -8[/tex]Step 4: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-8}{2}[/tex] [tex]x = -4[/tex]Step 5: Check if solution is correct.
[tex]4(-4+2)-2(-4)=0[/tex] [tex](4)(-4)+(4)(2)+8=0[/tex] [tex]-16 + 8 + 8 = 0[/tex] [tex]-8 + 8 = 0[/tex] [tex]0 = 0[/tex]Therefore, x = -4.
20) Three consecutive odd numbers sum to 315. Write an equation and solve for the first number, then list all three numbers.
someone please help
Answer:
Step-by-step explanation:
I don't do this question the same way as it is done in the classroom, but I will get you the right answer
Let the middle number = x
Let the smallest number = x - 2
Let the largest number = x + 2
x - 2 + x + x + 2 = 315 Combine like terms. The 2s cancel
3x = 315 Divide by 3
x = 105
So the middle number is 105
The smallest number is 103
The largest number is 107
Total 315
This method cuts out at least one step. It works best with an odd number of terms. If you have an even number, you have to use the more traditional method.
The mass of a pail is 2490 g when it is 1/4 filled with sand. It has a mass of 9240 g when it is fully filled with sand. Find the mass of the pail when it is empty.
Please help!!! ASAP!!
Step-by-step explanation:
the total length of all lines is 100.
there are 2 times a d line, and 5 times an x line.
well, what we have here is an equation :
2d + 5x = 100
2d = 100 - 5x = 5×(20 - x)
d = 5/2 × (20 - x) = 50 - 5x/2
take whatever form fits best to what your teacher does in class.
me ayudan por favor
Answer:
1) 5.091
2) 54.6731
3) 2.954
4) 0.17278
5) 68.031
Identify the unit rate in each graph. Then, order the graphs by unit rate, from least to greatest.
Answer:
God
Step-by-step explanation:
Because I need points
If l || m, find the value of y.
Answer: y = 50
Step-by-step explanation:
Supplement angles are two angles that sums up to 180°. So we could interfere that (8x - 14)° and (5y + 16)° are supplement angles. But before we move on, we should first solve for x. Opposite angles are equal. So therefore the angle opposite to 8x - 14 is also equal to 8x - 14. Guess what? Corresponding angles are also considered equal. So we could then conclude as following:
5x + 34 = 8x - 14
With the equation above we can now solve for x. We first add 14 on both sides.
5x + 48 = 8x
We then substract 5x on both sides.
48 = 3x
We finally divide 3 on both sides. This gives us the value of x.
x = 16
Now that we know the value of x, we could now solve (8x - 14)°. We first start by substituting in the equation.
8(16) - 14
We then multiply 8 with 16.
128 - 14
We finally substract 14 from 128. This gives now the value of the angle
114°
Now that we know this, we could now solve for y. Like I said earlier, supplement angles add up to 180°. So our equation should go as following:
114 + (5y + 16) = 180
We first add like terms together.
5y + 130 = 180
We then substract 130 on both sides
5y = 50
We finally divide 5 on both sides of the equation.
y = 50
The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI: IJ: JK is equal to 2:1: 2. If HK = 25, find JK.
Step-by-step explanation:
Given,
ratio of HI, IJ , Jk = 2 : 1 : 2
let their value be
HI = 2x
IJ = x
JK = 2x
HK = 25
according to question,
HI + IJ + JK = Hk
now, after inserting the values we got,
→ 2x + x + 2x = 25
→ 5x = 25
→ x = 25/5 = 5
→ x = 5
therefore value of,
HI = 2x → 2×5 = 10
IJ = x → 5
JK = 2x → 2×5 = 10
Hence, value of JK is 10.
hope this answers helps you dear...take care and may u have a great day ahead!
What is the value of the expression mn/p + (-n) if m = 4, n = 9 and p = -3
Answer:
-21
Step-by-step explanation:
mn/p - n
= 4×9/(-3) - 9
= -36/3 - 9
= -12 - 9
= -21
The area of the parallelogram is 24 square miles find its base and height?
Answer:
Base-3 mi
Height-8 mi
Step-by-step explanation:
The area of a parallelogram is base*height.
Base*height=24
Now we just need to number that multiply to get 24. Those numbers can be 3 and 8 because 3*8=24.
The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.
What is the area of the parallelogram?The opposite sides of the parallelogram are parallel and congruent. Let H be the height and W be the width of the parallelogram.
Then the area of the parallelogram will be
Area of the parallelogram = H × W square units
The area of the parallelogram is 24 square miles.
Then the dimension of the parallelogram is given as,
Area = 24
Area = 2 x 2 x 2 x 3
Area = 1 x 24, 2 x 12, 4 x 6, 8 x 3, 24, 1
The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.
More about the area of the parallelogram link is given below.
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Would appreciate the help !
This is one pathway to prove the identity.
Part 1
[tex]\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]
Part 2
[tex]\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]
Part 3
[tex]\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\[/tex]
As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity [tex]\sin^2(\theta)+\cos^2(\theta) = 1[/tex] in the second to last step. I broke the steps into three parts to hopefully make it more manageable.
the mass of a sphere made of gold is proportional to the diameter, d, cubed. express the mass m of the sphere as a function of the diameter. use c as your proportionality constant.
Answer:
m = cd³
Step-by-step explanation:
mass of is proportional to the diam
sphere cubed
Symbolically, this can be written as:
m = cd³
I need help please and thank you
Answer:
hey how to ask questions with pictures in brainly?
30m of material costs £210.how much would 18 m of this material cost?
Step-by-step explanation:
given,
30m of material cost = £210
so, cost of 1m material = 210/30 = £7
therefore, cost of 1m material is £7
now,
cost of 18m Material = 18 × 7 = 126
therefore, cost of 18m material is £126.
hope this answer helps you dear!
Answer: 126
Step-by-step explanation:
30 m of material cost 210
1 m of material cost [tex]\frac{210}{30}[/tex] Or 7
18 m of material cost 7 × 18 = 126
please give me a brainliest answer
What is the equation of the line that passes through the point (-8,0) and has a slope of - 1/4
Answer:
y = -1/4 -2
Step-by-step explanation:
help me guys and it will be better if you also write the explaination
Answer:
Please see below.
Step-by-step explanation:
f^-1 (x) essentially means the reverse.
We can substitute y for x in the equation and solve for y:
x = 4y -1
x+1 = 4y
y = (x+1)/4
so that is our answer for the first one:
f^-1(x) = (x+1)/4
We do the same trick for the second question:
x = 2y +1
x-1 = 2y
y = (x-1)/2
so the answer is f^-1(x) = (x+1)/2
The last question is slightly more complex, we can write is as:
x = 2y/(y-1)
x(y-1) = 2y
yx -x = 2y
yx = 2y + x
yx - 2y = x
y(x-2) = x
y = x/(x-2)
so the answer is x/(x-2)
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what slope intercept equation of the following line?
Answer: y=2x+7
Step-by-step explanation:
The og equation to get to the equation is y=mx+b. M=slope & B=y intercept
Lets first pick 2 points to find the slope (the formula is y2-y1/x2-x1). After using the formal, I got my slope as 2. Now I could say y=2x+b. Now to find the y intercept, the x point should be 0 because these are on going lines (you could tell by the infinite arrows) meaning there is no starting point. I got my y intercept as 7. Now, I know that y=2x+7.
Someone help pls?! Thank youu
Answer:
50 days
Step-by-step explanation:
1/8 pound of weight = 25/4 days
8/8 pound of weight = 25/4 × 8
= 200/4
= 50 days
Answer:
A. 50
B. 7.28? pounds
Step-by-step explanation:
I'm sure to my answer in leter A so don't worry.
But in letter B i'm not pretty much sure.
HELP!!!!!!!!!
Question 21-22
21. x-18x 1 - 18, thats how many x's u have
22. 40 + 10x divide 10 on both sides, x=_
Randi made nine scarves from 4 m of
fabric. How many scarves can she make
from 28 m of the same fabric?
Answer:
7 scarves
Step-by-step explanation:
you divide 28 by 4
A barber charges \$12$12dollar sign, 12 for a haircut. His operating expenses are, on average, \$37$37dollar sign, 37 per day. He calculates his profit by subtracting his operating costs from the money he earns from the haircuts he gives. In a given day, the barber expects to make a profit of at least \$86$86dollar sign, 86. If the barber gives hhh haircuts in a day, which inequality best models this situation
Answer:
12h-37 >/ 86
Step-by-step explanation:
so basically the barber wants to make a profit of 86 dollars since profit is total revenue minus expenses then we know that the barber total revenue is 12h and the expenses for the day are 37.
How many times longer does it take light from the Sun to reach Neptune than Mercury? Express this number in standard notation. Explain your reasoning
Answer:
Step-by-step explanation:
The ratio of light times will be the ratio of distances:
(light time to Neptune) / (light time to Mercury)
= (Neptune distance)/(Mercury distance)
= (27.93×10^8 mi)/(0.3598×10^8 mi) = 27.93/0.3598
≈ 77.6
Which of the following is not always true for adjacent angles? * (
)a) They have a common arm.
b) They have a common vertex.
c) Their sum is 180°.
d) Their other two arms lie on the opposite side of the common arm.
Answer:
C
Step-by-step explanation:
1/5x - 2 = 4 answer quickly please
Answer:
30
Step-by-step explanation:
add 2 to 4, which =6, then divide 6 by 1/5 to get x
Jade wants to buy a sweater the cost of the sweaters $50.50 she only has 2/5 of the money needed to buy the sweater how much money does jade have?
Answer:
20.2
Step-by-step explanation:
1/5 of 50.50 = 10.1
2/5 of 50.50 = 20.2
A diver is at 56 m below sea level. He goes down 17 m and moves up 29 m. Find his final position
Step-by-step explanation:
final position = (-56-17+29)m = -44m
44m below the sea level.
Answer:
Here is the answer 44
Step-by-step explanation:
56+17=73
73-29=44
BRAINLIEST IF CORRECT PLEASE HELP
Answer:
4 3/28
Step-by-step explanation:
Hope this helps!
Answer:
[tex]4 \frac{3}{28}[/tex]
Step-by-step explanation:
First, let's turn these mixed fractions to regular fractions to make multiplying easier:
3 2/7 = 2/7 + 21/7 = 23/7
1 1/4 = 1/4 + 4/4 = 5/4
Then multiply:
[tex]\frac{23}{7}*\frac{5}{4} = \frac{( 23 * 5 ) }{(7*4)} =\frac{115}{28}[/tex]
This fraction cannot be simplified, so let's turn it into a mixed fractions:
[tex]\frac{115}{28} =4\frac{3}{28}[/tex]