A local country officials need to calculate the capacity of a large hole for the garbage refuse dump. The dump hole is 250 feet long,120 feet wide and 30 feet deep. What is the capacity of the dump hole in cubic feet.
Answers
Answer:
900000cubic feet
Step-by-step explanation:
capacity of dump hole= 250*120*30
= 900000cubic feet
Related Questions
Math took my sis phone to see if this works pls help!
Answers
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
HELP ITS DUE TMR PLEASE
Answers
Answer:
im pretty sure the answer is (-5,-7)?
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
Answers
Evidence; 4 kilometers is 2.49 miles so 10•2=20
0.49 miles left so what we would do here is 0.1 mile is 1 minute so 0.01 mile is 10 seconds so 0.09 miles would be 90 seconds, and 90 seconds is 1 min and a half so thats 20+4+1.30=25.3
pls mark as brainlist if possible!
Which of the following choices is an example of a trade-off?
Mike has $100. He wants to buy a bike that costs $75 and three speakers that cost $30 each. He decides not to buy a bike so that he can afford all three speakers.
Edgar lives in a country in which the government controls the factors of production. He works in a factory where all the workers make the same wage and has limited access to luxury goods like electronics
OAs demand for Alice's paintings increases, she decides to increase her prices
Grasshoppers wipe out most of the US wheat crop one year. As a result, the price of wheat rises for consumers
Answers
Answer:Mike has $100. He wants to buy a bike that costs $75 and three speakers that cost $30 each. trade of is example of Opportunity cost
Step-by-step explanation:
Devon’s bike has wheels that are 26 inches in diameter. After the front wheel picks up
a tack, Devon rolls another 100 feet (1200 inches) and stops. How far above the ground in inches is the tack?
Answers
To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.
First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:
C = π × 26
C ≈ 81.64 inches
This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.
Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:
1200 / 81.64 ≈ 14.68 revolutions
Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.
Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.
Therefore, the tack is located 13 inches above the ground.
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Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answers
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
find fourier transform f(x)=1\|x|
Answers
Answer:
Step-by-step explanation:
Edgar's friends like the way he makes slime. He can make 5 different batches of slime an hour. Write an equation to model this situation.
Answers
5 slimes an hour is 1 slime every 20 minutes.
1 Slime: 20 Minutes
Lani has 84 Lego blocks and 25% were red. How many red Lego blocks does Lani have? Show and explain your work.
Answers
Answer:
21
Step-by-step explanation:
84x0.25=21
25% is 0.25 as a decimal. Multiply it times 84 to find the answer.
6(x1.5)+30<48 I need help with this Help
Answers
The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2
Solving linear inequalitiesFrom the question, we are to solve the given linear inequality
The given linear inequality is
6(x1.5) + 30 < 48
First, we will write this inequality properly.
The inequality can be properly written as
6(1.5x) + 30 < 48
Now, we will solve the linear inequality
6(1.5x) + 30 < 48
Subtract 30 from both sides of the equation
6(1.5x) + 30 - 30 < 48 - 30
6(1.5x) < 18
Divide both sides of the inequality by 6
6(1.5x)/6 < 18/6
(1.5x) < 3
1.5x < 3
Divide both sides of the inequality by 1.5
1.5x/1.5 < 3/1.5
x < 2
Hence, the solution is x < 2
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Write x^2 - 8x + 10 in the form
(x + a)^2 + B
Answers
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
what si the answer to this??
Answers
Answer:
One solution
Step-by-step explanation:
The slopes are different which means, the systems has one solution.
hope this helps and is right p.s. i really need brainliest :)
A table has an area of x² + 12x + 35. Find the possible dimensions of the table.
Answers
Answer:
x + 7 and x + 5 are possible dimensions
Step-by-step explanation:
x² + 12x + 35 ← factor the quadratic
consider the product of the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)
the factors are + 7 and + 5 , since
7 × 5 = + 35 and 7 + 5 = + 12 , then
x² + 12x + 35 = (x + 7)(x + 5) ← in factored form
now the area A = length × breadth , that is
A = x² + 12x + 35 = (x + 7)(x + 5) , then
length = x + 7 or x + 5
breadth = x + 5 or x + 7
Question 7
Jorge earned 91, 84, 87 on his first three out of four Algebra tests. He wants to get an
average of 90 in the class. What should he make on his last test to achieve this goal?
Answers
To earn an average score of 90, the score on the fourth test needs to be 98.
What is average?The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.
Given the score of the first three tests as:
91, 84, 87.
The average is given by the following formula:
Average = Sum of scores ÷ total number of tests
Let us suppose the score of fourth test as x.
Given that A = 90:
90 = (91 + 84 + 87 + x) ÷ 4
x = 98
Hence, the score on the fourth test must be equal to 98, to get an average score of 90.
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Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?
Answers
Answer:
4 shots
Step-by-step explanation:
Answer:
4 shots
Step-by-step explanation:
10/14 = 71%
what will its speed (velocity) be after 3.4 seconds, assuming no air resistance? (Hint: Use the equation v = 32t). How long would it take to fall 50 feet
Answers
The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
The time = 3.4 seconds
There is no air resistance.
v = 32t
v = 32(3.4)
v = 108.8 m/s
T = D/S = 50/108.8 = 0.45 seconds
Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
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Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
Answers
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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How do you solve
8x(x^2+ 2x -4)
Answers
Answer:
answer and explanation in the pic above
hope it helps
A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:
They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.
Answers
Answer:
p-value ≈ 0.05
Step-by-step explanation:
Find all of square roots of 36i and write the answers in rectangular (standard) form
Answers
r = √(0^2 + 36^2) = 36
θ = tan^-1(0/36) + kπ = kπ (where k is an integer)
Since 36i lies on the positive imaginary axis, we can choose k = 1/2 so that θ = π/2.
Thus, 36i in polar form is 36(cos(π/2) + i sin(π/2)).
Now we can find the square roots of 36i by taking the square root of the magnitude and dividing the angle by 2:
√36(cos(π/4) + i sin(π/4)) = ± 3(cos(π/8) + i sin(π/8))
√36(cos(9π/4) + i sin(9π/4)) = ± 3(cos(9π/8) + i sin(9π/8))
Therefore, the square roots of 36i in rectangular form are:
±3(cos(π/8) + i sin(π/8)) and ±3(cos(9π/8) + i sin(9π/8))
Find two consecutive integers whose product is 812.1. The smallest integer is 2. The largest integer is
Answers
We can answer this question as follows:
1. We have two consecutive integers, and we can express them as follows:
\(x,x+1\)2. We need the product of them to be equal to 812:
\(x(x+1)=812\)3. Now, we can expand the product as follows - we can apply the distributive property:
\(\begin{gathered} x(x+1)=812 \\ x\cdot x+x\cdot1=812 \\ x^2+x=812 \end{gathered}\)4. We can subtract 812 from both sides of the equation, and we end up with a quadratic equation:
\(\begin{gathered} x^2+x-812=812-812 \\ x^2+x-812=0 \end{gathered}\)5. We have to apply the quadratic formula to solve this equation as follows:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a},ax^2+bx+c=0\)And we have that:
\(\begin{gathered} x^2+x-812=0 \\ a=1 \\ b=1 \\ c=-812 \end{gathered}\)6. Now, we can apply the quadratic formula:
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-1\pm\sqrt[]{(1)^2-4(1)(-812)_{}}}{2(1)} \\ x=\frac{-1\pm\sqrt[]{1^{}+3248_{}}}{2(1)} \end{gathered}\)Then we can continue to finally have two solutions:
\(\begin{gathered} x=\frac{-1\pm\sqrt[]{3249_{}}}{2(1)} \\ x=\frac{-1\pm57}{2} \\ x_1=\frac{-1+57}{2}=\frac{56}{2}\Rightarrow x_1=28 \\ x_2=\frac{-1-57}{2}=\frac{-58}{2}\Rightarrow x_2=-29 \end{gathered}\)7. We can, now, check which of the two solutions are the correct one:
If we check with x = 28, we have:
\(\begin{gathered} x(x+1)=812 \\ 28\cdot(28+1)=812 \\ 28\cdot29=812 \\ 812=812\Rightarrow It\text{ is True.} \end{gathered}\)If we check with x = -29, we have:
\(\begin{gathered} -29\cdot(-29+1)=812 \\ -29\cdot(-28)=812 \\ 812=812\Rightarrow It\text{ is true.} \end{gathered}\)Therefore, we have two possible answers:
• 28 and 29
,• -29 and -28
They are integers (one pair positive, and the other pair negative integers).
In summary, then we can say:
For 28 and 29:
• The smallest integer is 28
,• The largest integer is 29
For -29 and -28
• The smallest integer is -29
,• The largest integer is -28
[We need to remember that integers are all "positive and negative whole numbers: {..., -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}.] {...
#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
Answers
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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A pet store has 11 puppies, including 5 poodles, 3 terriers, and 3 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with
a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
The probability is
Answers
The probability that they both select a poodle is bigger. The probability is 0.074
How is this so?In the store, there are 11 puppies, and 3 of them are poodles.
If Rebeca and Aaron chose at random, then the probabilities are; for Rebbeca, there is a 3/11 probability to get a poodle ( because there are 3 poodles of eleven dogs) and the probability for Aaron is 2/10 because now there are one less poodle (and in consequence one less puppy)
now, the joint probability of these two events happening is the product of each probability, this is:
p = (3/11)*(2/10) = 6/110, that we can simplify at 3/55 if we divide both denominator and numerator by 2.
If the dog is replaced after Rebeca picked hers, then Aaron also has a 3/11 probability of picking a poodle, and in that case, the joint probability is:
q = (3/11)*/3/11) = 9/121
now, p = 3/55 = 0.055 and q = 9/121 = 0.074
Thus, this means that the probability of both of them selecting a poodle is bigger when the dog is replaced (which makes a lot of sense)
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in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
Answers
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
The formula for the density of an object is d = m/v , where m is the mass and V is the
volume. Solve the formula for V in terms of d and m.
Answers
9514 1404 393
Answer:
v = m/d
Step-by-step explanation:
Multiply by v and divide by d.
d = m/v . . . . . given
vd = m . . . . . multiply by v
v = m/d . . . . . divide by d
_____
Additional comment
You can do both operations at once: multiply by v/d. This effectively switches the places of v and d in the given equation.
Answer:
dV
Step-by-step explanation:
The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 20.4cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 20.4 cm, what is the single value that is the best-predicted height for that person?
Answers
The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:
y = a + bx
where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.
From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.
Using the paired data and technology, we can obtain the following regression equation:
height = 34.774 + 1.4966 (foot length)
Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:
height = 34.774 + 1.4966 (20.4)
height = 65.83 cm
Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
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Will give Brainliest to person with correct answer!
Answers
Answer:
it would be 6. it is closer to the 6 mark. so the answer would be B. this is the answer.
Step-by-step explanation:
A bolynomial function has zeros √2, 4, and 61. What is the minimum degree of the
polynomial function?
A. 6
B. 5
C. 4
D. 3
Answers
Answer:
D) 3
Step-by-step explanation:
Is 7-¹ a negative number? Explain.
Answers
Answer:
No
Step-by-step explanation:
\(7^{-1}\) is a fraction
using the rule of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
then
\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction
1) Convert 2-7i to trigonometric form
2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125
Answers
Answer:
1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)
2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
Step-by-step explanation:
Problem 1
\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)
Problem 2
\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)
Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)