Answer:
[tex]a^{2} (a+3) = 20\\OR\\a^3 +3a^2 -20 = 0[/tex]
Step-by-step explanation:
Given that:
There is a square prism which has height equal to 3 yards longer than that of the base of the prism.
Let the base of prism = [tex]a[/tex] units
As per question statement:
Height, [tex]h = (a+3)[/tex] units
Volume of the prism = 20 cubic yards
Now, we have to find a representative function that will represent the volume of the solid.
First of all, let us have a look at the formula for volume of a prism.
[tex]V = B\times h[/tex]
Where, [tex]B[/tex] is the area of base and
[tex]h[/tex] is the height of prism.
And the base is a square, whose area will be represented as:
[tex]B = Side \times Side[/tex]
Now, putting the values in the formula for Volume:
[tex]V = a^2(a+3) = 20\\OR\\a^3+3a - 20 =0[/tex]
(4^3)² × 4^2
Please help
Answer:
65536
Step-by-step explanation:
=(642)(42)
=4096(42)
=(4096)(16)
i hope this helps if u need me to explain more i will be happy too <3
In a group of 38 pupils, 14 play the flute only.
8 play the piano only.
11 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
pLZZZZZ need help, will give brainlist if solved
Hey there!
The answer to your question is 5/38
We can find this answer by taking the total group and subtracting all the data to see how many are left who don't play either:
38 - 14 - 8 - 11
5
This means that 5 out of every 38 pupils do not play either instrument, so the probability would be 5/38.
Hope this helps! Have a great day and good luck on your assignment!
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answer
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
Answer:
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
( Did it on college board)
Step-by-step explanation:
Estimate the value 118 to the nearest integer.
Step-by-step explanation:
118 is already an integer
Special Right Triangles
Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
Sophia bought 24 chicken wings for $52.80. How much does each wing cost?
Answer:
2.2$
Step-by-step explanation:
Because 52.80 divided b 24 equals 2.2$
have a nice day! :>
Subtract 28.9 − 9.25 =_____
Answer:
19.65
Step-by-step explanation:
Answer:
19.65
Step-by-step explanation:
..........
The circumference of a circle is 12\piπ ft. Find its diameter, in feet.
Answer:
Sorry if i am wrong but i am pretty sure it is d≈3.82
Step-by-step explanation:
Select the example of an inequality.
o 14y = 2
0 32 - 4
044 = 15
4y < 64
Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling? Explain your answer.
Complete question :
You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?
Answer:
cell phone card won't be enough.
Step-by-step explanation:
Cell phone card value = $75
United kingdom = 23cent per minute
France = 21 cent per minute
United Kingdom minutes = 250
France minutes = 100
Total cost :
23 cent = $0.23
21 cent = $0.21
Total :
United Kingdom = 0.23 * 250 = $57.5
France = 0.21 * 100 = $21
$21 + $57.5 = $78.5
$78.5 > $75
Then, it can be concluded that the cell phone card won't be enough.
Please help!!! thank you so so much!!! will give brainliest!
Answer:
A
HOPE THIS HELPS YOU
GIVE THANKS
MARK AS BRAINLIEST
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices
Answer:
[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
[tex]y=ab^x[/tex]
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
How can I calculate the zeros of x^3+3x^2-4?
I know the answers (x1= -2 and x2= 1) but I need to show why these are the zeros.
Answer:
x = 2
x = -1
Okay now this is worth 40points and help me
Answer:
Row IV
Step-by-step explanation:
I am pretty sure I am correct because I have done this before and If I calculate correctly know I am correct If I am wrong then OOOOOOOOF
Answer:
Row III and Row V
Step-by-step explanation:
Whole numbers are all positive numbers including 0. However, these numbers cannot have fractions or decimals. Integers include numbers that are negative and positive, however they cannot have fractions or decimals either. 0 counts as an integer, too. Rational numbers are numbers that can be written as a fraction. Decimals can be rational, too - they just have to either terminate (end at some point) or repeat. Knowing these rules...
-98 would qualify as an integer and a rational number - but not a whole number because it's negative. Row I is correct. 0 would qualify as an integer, whole number, and rational number. Row I is correct. -0.7878... would not qualify as an integer or whole number - it is a decimal - but it would qualify as a rational number since it repeats. Therefore, Row III is wrong. [tex]2\frac{15}{17}[/tex] would not qualify as an integer or whole number - it is a fraction - but it would qualify as a rational number. It can be written as a fraction. Row IV is correct. 10.5 would not qualify as an integer or whole number - it is a decimal number - but it could be rational since it can be written as [tex]10 \frac{1}{2}[/tex]. Row V is wrong.What’s the measure of <7
Which pairs of figures are congruent? Which pairs are similar?
Answer:
put a picture with the question and I can help you
Answer:
Where’s the pic
Step-by-step explanation:
Which postulate make the triangle congruent.?? help please
Solve for y, z, x or t: x/m-x=n if m≠1
PLEASE HELP MEEEEEEE
Help it’s due now! Please
Answer:
44
Step-by-step explanation:
Substitute the values for the variables.
5(8) + 12/3
40 + 4 = 44
An information technology company produces 45% of its computer chips at a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is known that 0.85% of the chips produced in St. Louis are defective, while 1.05% of the chips produced at the plan in Chicago are defective. What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?
Answer:
the probability of the computer chip produced and defective is 0.003825
Step-by-step explanation:
The computation of the probability of the computer chip produced and defective is shown below
= Produced percentage × defective percentage
= 45% × 0.85%
= 0.003825
Hence, the probability of the computer chip produced and defective is 0.003825
The same is considered and relevant too
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
2/7 (14 h + 7/2) - 3h = 9
PLEASE HELP ME.. I HAVE THIS DUE TODAY
HELP WITH THIS WORD PROBLEM
While riding a train in New York City, you notice there are 125 passengers in the first carriage, 10 more passengers in the second carriage then there are in the first carriage, and 10 more passengers in the third carriage then there are in the second carriage. If this pattern continues, how may passengers are there in the fourth carriage?
Answer:
1 cart = 125
2 cart = 135
3 cart = 145
4 cart = 155
Step-by-step explanation:
I really need help with this
Answer:
1/2 or .5
Step-by-step explanation:
you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer
can someone please help asap?!
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-1-0}{5-2}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{3}[/tex]which numbers for b would make √b irrational
mark as brilliant!
Answer:
All of the options when substituted for b will make the root of b irrational
Step-by-step explanation:
Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers
For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.
So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares
Please answer my question
Answer:
1 is 55
2 is 128
3 is 175
4 is no because the sell price is not 12 dollars, its 12 dollars extra
5 is A
Step-by-step explanation:
write the ratio in simplest form 2 feet to 40 inches
Answer:
2+5
Step-by-step explanation:
Ratio of 2feet to 40 inches = 3/5 = 3:5
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given measurements,
2 feet and 40 inches
1 feet = 12 inches
2 feet = 24 inches
Ratio of 2 feet to 40 inches = 24/40
= 3/5
Hence, 3/5 is the ratio of 2 feet to 40 inches.
Learn more about ratio here:
https://brainly.com/question/13419413
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How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?