Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
(4x^3-4+7x)-(2x^3-x-8) is equivalent to expression ?
Find the three positive geometric means between 3 and 48/625
A. 9/5, 27/25, 81/125
B. 6/5, 12/25, 24/125
C. 3/5, 3/25, 3/125
D. 1, 1/3, 1/9
Answer:
B. 6/5, 12/25, 24/125Step-by-step explanation:
Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:
3, x, y, z, 48/625
Using the nth term of a geometric sequence to find the missing term.
[tex]Tn = ar^{n-1}[/tex] where:
a is the first term
n is the number of terms and
r is the common ratio
From the sequence, a = 3
[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]
Since the fifth term is 48/625 then:
[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]
To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.
[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]
when n = 3;
[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]
when n = 4;
[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]
The three positive geometric mean are 6/5, 12/25, 24/125
Answer:
A
Step-by-step explanation:
Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
Answer:
6x squared
Step-by-step explanation:
Answer:
Three-tenths x squared
Step-by-step explanation:
i just did this
area of b1 = 9, b2 = 16, h = 13.4.
Assuming this is a trapezoid:
(b1+b2)/2*h
(9+16)/2*13.4
25/2*13.4
12.5*13.4=167.5
Answer:
167.5
You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?
Answer:
h_max = 12.56 units
(the exercise does no specify the units)
Step-by-step explanation:
You have the following function:
[tex]h(t)=-16t^2+6t+12[/tex] (1)
To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:
[tex]\frac{dh(t)}{dt}=-32t+6[/tex]
Next, you equal the result of the derivative to zero and you obtain t:
[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]
Then, you replace this value of t in the equation (1) and you obtain the maximum height:
[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]
[tex]h(t)=12.56[/tex]
hence, the maximum height is 12.56 units
Choose the formula for the volume of a rectangular prism V = lwh written in terms of h.
A. h = Vlw
B. h = lVw
C. h = lwV
D. h = Vwl
Part B
Find the height h of a rectangular prism with volume V = 96 cm3, l = 8 cm and w = 2 cm.
height =
cm
Answer:
h = V/lw and the height = 6cm
Step-by-step explanation:
h = V/lw
V= [tex]96cm^{3}[/tex]
l = 8 cm
w = 2cm
V/lw = 6
Thus, the height = 6cm
LUI
• Chicken nuggets, burger, hot dog
Apple Juice or milk
French fries or fruit
HOOD
8
The list below shows some of the possible
outcomes. List the missing possible outcomes
below.
ter and
ps the
- only
nd a
Chicken nuggets, apple juice, French fries
Chicken nuggets, apple juice, fruit
Chicken nuggets, milk, French fries
Chicken nuggets, milk, fruit
Burger, apple juice, French fries
Burger, milk, French fries
Burger, apple juice, fruit
Hot dog, apple juice, French fries
Hot dog, milk, French fries
Hot dog, milk, fruit
Answer:
cool cool no c um hi hi hi hi hi hi hi hi hi hi hi hi hu x
Please help meee for this equation
Answer:
9 (C)
Step-by-step explanation:
sqrt(15^2 - 12^2) =
sqrt(225 - 144) =
sqrt(81) =
9 (C)
Answer:
C. 9m
Step-by-step explanation:
Using the pythagorean theorem, you can find that the length of the last side is [tex]\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9[/tex]. Hope this helps!
what is 2 + 2? and how does that work
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft
Answer:
192[tex]feet^3[/tex]
Step-by-step explanation:
The formula for the area of a rectangle is : [tex]length*width[/tex]
In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.
To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.
1) Multiply 6 by 4.
[tex]6*4=24[/tex]
2) Multiply 24 by 8.
[tex]24*8=192 feet^3[/tex]
What is the quadratic regression equation?
x 54 81 15 26 30 41 70 92 61
y 143 80 19 64 83 137 99 25 126
Round each coefficient in the equation to the nearest thousandth.
Answer:
y = -0.078 x² + 8.407 x − 92.892
Step-by-step explanation:
Use a calculator or spreadsheet to find the least squares regression equation.
Answer:
y = -0.078x^2 +8.407x -92.892
Step-by-step explanation:
Any of various graphing calculators, spreadsheets, or statistical analysis tools can give you the coefficients for a quadratic regression.
Attached is the output of a graphing calculator. Rounded to thousandths, the equation is ...
y = -0.078x^2 +8.407x -92.892
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?
Answer:
1/12 my guy
Step-by-step explanation:
There really isn't one
Answer:
Would be 0.08333 or 1/12
Step-by-step explanation:
At science camp the kitchen served half of there blueberries with breakfast after dinner they put the remaining 5270 g of berries on top of their ice cream desert how many kilogram of blueberries did the science camp start with?
Answer:
10.54 kg
Step-by-step explanation:
Here, we are interested in calculating the amount in kilograms of blueberries the science camp started with.
Now let’s take a look at the question once again;
after serving half of the blueberries with breakfast, the amount of berries remaining is 5270 g
What this means is that 1/2 of the berries correspond to 5270 g and the other half too will be 5270 g
Thus, the total will be 5270g + 5270g = 10,540 g
Now the question asks us to calculate our answer in kilograms.
Mathematically, 1000g = 1kg
Thus 10,540 g = xkg
Thus x = (10 540 * 1)/1000 = 10.54 kg
Which statement about the angle measure is true
Answer:
D
Step-by-step explanation:
each angle of the triangle is 95° and the second angle has to be in alphabetical order
The true statement is ∠BAC + ∠ABC = 95°
What is an angle?An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.
Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.
Given is a figure, we need to find the correct answer from the option,
We know that,
The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.
Therefore,
∠BAC + ∠ABC = ∠ACD
∠BAC + ∠ABC = 95°
Hence, the true statement is ∠BAC + ∠ABC = 95°
Learn more about angles, click;
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can you think of another form of 2+8=10
Answer:
8+2=10
Step-by-step explanation:
You could switch the numbers around.
A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the area, the variables sales price (in thousands of dollars) total floor area (in square feet) number of bedrooms distance to nearest high school (in miles) are used in a multiple regression model. The estimated model is . Answer the folowing questions for the interpretation of the coefficient of in this model.
Answer:
The overview of the specific problem is outlined in the following section of the explanation.
Step-by-step explanation:
The Regression model is being used for finding as well as determining a connection or partnership of involvement among both your factor as well as some other variables. This type of equation is itself proving to be an improvement.Keeping some other factors constant, the average increase in selling price becomes 21 thousand dollars within each incremental bedroom in such a building.So that the above is the right answer.
Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00, day 3, $2.00, etc. How much do
students earn on the ninth day of school?
Answer:
$128
Step-by-step explanation:
We can model this as an exponencial function, as the value earned each day doubles:
P = Po * r^t
Where P is the value after t days, Po is the inicial value and r is the rate.
In this case, we have r = 2 and Po = 0.25 (so for t=1 we will have P = 0.5).
The equation will be:
P = 0.25 * 2^t
Then, for t = 9, we have:
P = 0.25 * 2^9 = $128
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all circles? Explain.
Answer:
1.) Circumference of circle A = 131.95 metre
2.) Circumference of circle B = 175.93 metre
3.) Yes. Radius is proportional to the circumference.
Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters
Circumference of a circle = 2πr
For circle A
Radius r = 21
Circumference = 2 × 3.143 × 21
Circumference = 131.95 metre
For circle B
Circumference = 2 × 3.143 × 28
Circumference = 175.93 metre
Is the relationship between the radius of a circle and the distance around the circle the same for all circles? YES
Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference
Please help me now plz I promise I will mark you brainliest
Answer:
C. Outside the circle
I hope this helps
It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?
Answer:
Step-by-step explanation:
10 minutes
if it took her 16 minutes to read 8 pages then that means it takes her 2 minutes to read one page. 2 times 5 is 10
Answer:
Step-by-step explanation:
It would be ten. Because it took her 16 minutes to read 8 pages and 8 pages times 2 minutes each page = 16 minutes, so 5 pages times 2 minutes each page = 10
Triangle question find the value
Answer:
55°
Step-by-step explanation:
total angle of a triangle is 180°
we are given 2 angles
85+40+ x = 180
180-125 = 55° (x)
I need help preciate it
Answer: x=1
They all have 1 for their x coordinate; 'nuff said.
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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If this rectangle is dilated using a scale factor of One-half through point B, what is the result?
Answer:
The dilation will create a similar rectangle with sides of half the length of the original rectangle
Answer:
Its B for the people who dont know what the other guy was talking about
Step-by-step explanation:
What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
you earn $56 for mowing 7 lawnes. How much do you make 12 lawns
Answer:
$96
Step-by-step explanation:
56/7=x/12
8=x/12
8*12=x
x=96
