Answers
You have weight (5.76 pounds) and density (0.08 pounds/in³). The units of volume (in³) are in the denominator of the density, but we want them in the numerator of a number that gives the volume of the brick. At the same time, we want to cancel units of pounds. We can do all that by dividing weight by density.
volume = weight/density
volume = (5.76 pounds)/(0.08 pounds/in³) = (5.76/0.08) in³ = 72 in³
We know the volume of a rectangular prism (brick) is given by the product of its length, width, and height. We now have enough information to find the height.
volume = length*width*height
72 in³ = (8 in)*(2.25 in)*height . . . . . substitute known numbers
72 in³/((8*2.25) in²) = height . . . . . .. solve for height
72/18 in = height = 4 in . . . . . . . . . . . do the arithmetic. (in³)/(in²) = in
The height of the brick is 4 inches.
Related Questions
Approximately how many boxes that are 2 ft. by 2 ft. by 3.5 ft. fit inside of the back of a tractor trailer box truck whose dimensions are 28 ft. by 8 ft. by 9 ft.?
26 Boxes
87 Boxes
144 Boxes
216 Boxes
Answers
Approximately how many boxes that are 2 ft. by 2 ft. by 3.5 ft. fit inside of the back of a tractor trailer box truck whose dimensions are 28 ft. by 8 ft. by 9 ft.?
Solution:
Volume of trailer box= Number of boxes * Volume of Box
Volume of Trailer Box=Length*Width*Height
Dimensions of Trailer Box are 28 ft. by 8 ft. by 9 ft.
Volume of Trailer Box=28*8*9ft³=2016ft³
Dimensions of box are 2 ft. by 2 ft. by 3.5 ft.
Volume of Box=2*2*3.5ft³=14ft³
Volume of Trailer Box=Number of Boxes *Volume of Box
2016=Number of Boxes*14
To get, Number of Boxes, Let us divide by 14
2016/14=Number of Boxes=144
Number of Boxes=144
Answer: Option C:144 boxes
the arc lenght of pi over 3 and 10m
Answers
PLEASE HELP ME WITH THIS MATH QUESTION
Answers
[tex] a_{n}= a_{1}+(n-1)*d [/tex]
Comparing this formula with the given formula, we can write:
Common Difference = d = 5
Since, every term of an Arithmetic sequence can be obtained by adding the common difference to the previous term, so we can write the recursive formula as:
[tex] a_{n} = a_{n-1} +d[/tex]
For the given sequence we can write:
[tex] x_{n} = x_{n-1} +5[/tex]
So, the answer to this question is 5
In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group. They do not know whether they are receiving the medication or a placebo. The element of experiment design being used is _____.
randomization
blinding
replication
Answers
Answer:
The element of experiment design being used is blinding.
Step-by-step explanation:
In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group.
The first step is to define the treatment group, it is performed in a random way, as most of the statically experiments.
They do not know whether they are receiving the medication or a placebo.
People inside both groups do not have information about the medication. It means they are blind to the possible effects.
The blinding method is used mostly to remove the placebo effect in the sample. Because of that it is commonly used for clinical or any experimental assays as it was showed in this example.
Any figure that has line symmetry must also have rotational symmetry. true or false
Answers
Answer is TRUE.
hey can you please help me posted picture of question
Answers
As you can see, increasing the value of x, decreases the value of y as both are inversely related as:
[tex]y= \frac{1}{x} [/tex]
We can also write this equation as:
yx = 1
This means, the product of each x and y value must be 1 for parent reciprocal function. If you observe the table, the product of each pair is 1.
So the correct answer is option A
y = 1/x.
If we are to substitute the given values of x to determine the values of y for checking, the results are as shown below.
1. y = 1/-2 = -0.5
2. y = 1/-1 = -1
3. y = 1/2 = 0.5
4. y = 1/3 = 0.33
Thus, the answer to this item is the first option, y = 1/x.
A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?
2 ft
4 ft
8 ft
10 ft
Answers
1. You have the following information given in the problem above:
- The rectangular deck has the following dimensions: 12 ft by 14 ft.
- When the length and width are increased by the same amount, the area becomes 288 ft².
2. Therefore, you have:
A=bxh
288=(12x)(14x)
288=168x²
3. When you clear the x, you obtain:
x=√288/168
x=(2√21)/7≈1.31
Answer:
4 ft option (c)
Step-by-step explanation:
Length of a rectangular deck = 12 ft.
width of rectangular deck= 14 ft.
let the length and width are increased by the x ft.
New length = (12 + x) ft
New width = (14+ x) ft.
area of rectangular width = length × width
according to the question
(12+x)(14+x) = 288
168+[tex]x^{2}[/tex]=+14x+12x = 288
[tex]x^{2}[/tex]+26x = 228-168
[tex]x^{2}[/tex]+26x-120=0
[tex]x^{2}[/tex]+ 30x-4x-120=0
x(x+30)-4x(x+30)
x=4 or x=-30
x=-30 is rejected
Hence, the length and width are increased by the 4 ft.
Martha is making a scarf for her sister. Each day she knits 1/6 of a scarf....#1 what fraction of the scarf will be complete after 3 day...#2 What fraction will be complete after 6 days....#3 How can you use a number line to prove that your answers are correct?
Answers
Hope I could help!
-Montana
Researchers produced a study that involved 875 workers in the auto industry. The study showed that after 30 years 367 were retired, 85 were still employed in the auto industry, 300 left the industry, and the rest were not reachable. What is the problem with this study?
precise numbers
missing data
self interest
voluntary response
Answers
There are 123 people that were not reachable, making missing data the biggest problem.
It could be voluntary, but we're not told that, and it is most likely not voluntary, which also cancels out the chance that it could be self-interest. Precise numbers are usually what you want to aim for when you collect data, so that isn't a problem here.
Find the shaded area of the basketball court to the nearest foot.
Answers
Rectangle - 12*19 = 228
Half a circle - [tex]\pi r^2 = \pi 6^2 = 36 \pi/2 = 18 \pi [/tex]
In the end there are 2 rectangles (2*228 = 456) and 1 full circle (18*2 = 36), which makes the shaded area 456 ft and 36[tex] \pi [/tex]
Then find the area of the semi-circle above it, which is pi times the radius squared. The diameter is 12ft, and we know the radius is half of the diameter, so the radius is 6ft. Our equation is pi times 6^2, or pi times 36.
We’ll just make pi 3.14, so 36•3.14=113.04 feet.
Add the area of the semi-circle and the rectangle together to get one of the shaded areas. 228+113.04= 341.04.
Now that we know the full area of one shaded region, we multiply it by two because there’s two of them. 341.04•2= 682.02.
Since we round it to the nearest foot, our final answer is that the shaded area of the basketball court is 682 square feet.
Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0.
What must be the value of c for Jamal’s statement to be true?
Answers
ax + b = a (x + c)
If we divide by "a" on both sides we have to:
x + b / a = x + c
For values of "a" other than zero.
So:
c = b / a.
So that the affirmation of Jamal Be true c = b / a
Answer:
[tex]c=\frac{b}{a}[/tex]
Step-by-step explanation:
We have been given an equation [tex]ax+b=a(x+c)[/tex], given that a, b and c are not equal to 0.
Let us solve for the value of c that will make Jamal's statement true.
Upon dividing both sides of our equation by a we will get,
[tex]\frac{ax+b}{a}=\frac{a(x+c)}{a}[/tex]
[tex]\frac{ax+b}{a}=x+c[/tex]
[tex]\frac{ax}{a}+\frac{b}{a}=x+c[/tex]
[tex]x+\frac{b}{a}=x+c[/tex]
Now, we will subtract x from both sides of our equation.
[tex]x-x+\frac{b}{a}=x-x+c[/tex]
[tex]\frac{b}{a}=c[/tex]
Therefore, the value of [tex]c=\frac{b}{a}[/tex] will make Jamal’s statement true.
(4+8r^5) - (4r^5 + 2)
Answers
= 4+8r^5 - 4r^5 - 2
= 4r^5 +2
= 2(2r^5 + 1)
The simplest form of the equation is 2(2r^5 + 1)
Andy is 2 years older than Jeff. In 5 years the sum of their ages will be 40.find their ages now? Explain your answer using algebra
Answers
You can make two equations based on what you know
let x stand for andy's age
let y stand for Jeff's age
x = 2 + y
5 + x + 5 + y = 40
Put x into the second equation
5 + (2 + y) + 5 + y = 40
Combine like terms
12 + 2y = 40
Subtract 12 from both sides
2y = 28
Divide both sides by 2
y = 14
Put y into the first equation
x = 2 + (14)
x = 16
Andy is 16 and Jeff is 14
Hope this helps!
hey can you please help me posted picture of question
Answers
The solutions are 4 and -4
Explanation:
To get the solutions, we will need to isolate x on one side of the equation.
This can be done as follows:
4x² - 30 = 34
4x² - 30 + 30 = 34 + 30
4x² = 64
x² = 64/4
x² = 16
x = ±√16
either x = +√16 = 4
or x = -√16 = -4
Hope this helps :)
Remember: P(1+r)t Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem. $950 at 7% for 8 years, compounded annually. Total Amount = $ Interest Amount = $
Answers
950×(1+0.07)^(8)
=1,632.28
Interest amount
1,632.28−950
=682.28
solve for x x^2+3x<28
Answers
x² + 3x - 28 < 0
(x+7)(x-4) < 0
the zeros will be at x = -7 and x =4
∴ the solution of inequality
x ∈ (-7,4)
See the attached figure
what is the next number in this pattern 0.54,0.6,0.66,0.72
Answers
So, add 0.06 to 0.72.
0.06+0.72=0.78.
So, your answer is 0.78.
Have a nice day! ♪
the surface area of a polyhedron can be found by
Answers
The surface area of a polyhedron is equal to the sum of the area of all of its faces. Said another way, the surface area is the total area covered by the net of a polyhedron.
Answer:
the surface area of a polyhedron can be found by sum of the area of all its sides.
Step-by-step explanation:
The surface area is nothing find the area of each faces and add them together.
Surface area = Sum of area of each faces.
Polyhedron is a three dimensional figure.
For instance, cube a polyhedron which has 6 square faces.
Surface area of a cube = [tex]a^{2} + a^2 + a^2 + a^2 + a^2 + a^2 = 6a^2[/tex], where "a" is the side of the square.
Therefore, the surface area of a polyhedron can be found by sum of the area of all its faces.
Find the volume of the given prism round to the nearest 10th if necessary
Answers
volume of the prism=area of the base*height
height=24 yd
area of the base
is a equilateral triangle
so
the internal angles are 60 degrees
with the law of sine calculate the area
Area=(1/2)*a*b*sin C-----> (1/2)*13*13*sin 60-----> (1/2)*13*13*√3/2
Area=73.18 yd²
volume of the prism=73.18*24-----> 1756.30 yd³
the answer is
1756.3 yd³
Complete the steps to find the volume of the prism shown below.
Answers
Answer:
triangle
A = 6
V = 6 x 20 = 120
Step-by-step explanation:
Answer:
Shape of base - triangle
A = 6 units
V = 6 x 20 = 120
Hope it helps!
hey can you please help me posted picture of question
Answers
Shift towards right can be obtained by subtracting 4 from the x in the function and the upward shift can be obtained by adding 1 to the function.
So,
G(x) = F(x-4) + 1
Thus,
G(x) = (x-4)² + 1
So, the correct answer to this question is option B
Find the slope and y-intercept fotv
Answers
[tex]A(3;\ 2)\\\\the\ slope:\ m=\dfrac{2}{3}\\\\B(0; 0):\ y-intercept[/tex]
Consider the following properties of the graph of an exponential function.
a. Horizontal Asymptote at x=-2
b. The graph is increasing from (-infinity, infinity)
c. The x-intercept is at (1,0)
What is the equation for this graph?
Answers
[tex]y= e^{x} [/tex]
The Horizontal asymptote of parent exponential function is y =0. For the function to have asymptote y=-2, it must be shifted 2 units down. So resulting graph will be:
[tex]y=e^{x} -2[/tex]
The function is increasing from left to right.
The above function does not have x-intercept at (1,0). For the function to have an x-intercept at (1,) it must be multiplied with some co-efficient as shown below:
[tex]y=a e^{x}-2 [/tex]
For x=1, y=0. So we can write:
[tex]0=a e^{1}-2 \\ \\ 2=ae \\ \\ a= \frac{2}{e} [/tex]
So, the exponential function satisfying the given conditions will be:
[tex]y= \frac{2}{e} e^{x}-2 \\ \\ y=2 e^{x-1} -2 [/tex]
A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a total of $140 to rent movies and video games from this store. If he rented twice as many video games as movies, how much did he spend on movie rentals during the summer?
Answers
4m + 3v = 140
v = 2m
Insert this variable:
4m + 3(2m) = 140
4m + 6m = 140
10m = 140
m = 14
One movie costs 4 dollars:
14*4 = 56
He spent $56 on movies
At a school, 129 students play at least one sport. This is 60% of the students at the school. How many students are at the school?
Answers
129 = (1.00-.60) x (whole school)
129 = .4 x (whole school)
129/.4 = Whole school
School size = about 323 students
Rectangle QRST is shown.
What would be a reason to claim that QRST is NOT a square?
SECOND PICTURE ARE THE FOLLOWING SOLUTIONS.
WILL MARK BRAINLIEST!!!
Answers
PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?
What are the benefits and limitations to each method? When is it best to use each method?
1) graphing 2) substitution method 3) elimination method
Answers
(infinite solutions), or parallel lines(no solutions).
This method works best for lines that have integers for solutions. The task of determining rational or irrational solutions from graphs is difficult.
The substitution method usually must be used for equations with higher exponents. The deawback of this method is having to work with fractions.
The elimination method is often the method of choice.
This method however requires that you learn to recognize when the systems produce parallel lines or have equations that represent the same lines.
Answer:
don't copy exactly, this is my answer to the question.
Step-by-step explanation:
What is the area of the trapezoid?
56 square inches
240 square inches
108 square inches
120 square inches
Answers
120
Take care ^-^
Answer:
120
Step-by-step explanation:
The number of acres of wetland infested by an invasive plant species after t Years is given by u(t)=12•2^t/3. Solve the equation u(t)=50. What does your answer tell you about the wetland?
Answers
u (t) = 12 • 2 ^ t / 3
We equate the equation for u (t) = 50.
We have then:
12 • 2 ^ t / 3 = 50
We clear the value of t:
2 ^ t / 3 = 50/12
log2 (2 ^ t / 3) = log2 (50/12)
t / 3 = log2 (50/12)
t = 3 * log2 (50/12)
t = 6.2 years
Answer:
After 6.2 years 50 acres of wetland are infested by an invasive plant species
A house was valued at 398,000.over several the house increased by 0.08
Answers
398000 + 0.08(398000)
We can make it simpler:
1.08(389000)
The current price is $420120