Answer:
V = (s^3)/6 (Answer B )
Step-by-step explanation:
If the length of a side of the base is s, then the height of the pyramid is half that, or s/2.
The volume of a pyramid with a square base and base side length S and height H is V = (1/3)(S^2)(H).
In this case, the formula is V = (1/3)(s^2)(s/2), or V = (s^3)/6 (Answer B)
2 Simplify.
a
e
√72+√162
√50-√8
2√28+√√28
[tex] \sqrt{72} + \sqrt{162} \\ \\ \sqrt{2 \times 2 \times 2 \times 3 \times 3} + \sqrt{2 \times 3 \times 3 \times 3 \times 3} \\ \\ 2 \times 3 \sqrt{2} + 3 \times 3 \sqrt{2} \\ \\ 6 \sqrt{2} + 9 \sqrt{2} \\ \\ (6 + 9) \sqrt{2} \\ \\ 15\times1.4 \\ \\ 21[/tex]
--------------------------[tex] \sqrt{50} - \sqrt{8} \\ \\ \sqrt{2 \times 5 \times 5} - \sqrt{2 \times 2 \times 2} \\ \\ 5 \sqrt{2} - 2\sqrt{2} \\ \\ (5 - 2) \sqrt{2} \\ \\ 3 \sqrt{2} \\ \\ 1.7 \times 2 \\ \\ 3.4[/tex]
--------------------------[tex]2 \sqrt{28} + \sqrt{28} \\ \\ 2 \sqrt{2 \times 7 \times 7} + \sqrt{2 \times 7 \times 7} \\ \\ 2 \times 7 \sqrt{2} + 7 \sqrt{2} \\ \\ 14 \sqrt{2} + 7 \sqrt{2} \\ \\ (14 + 7) \sqrt{2} \\ \\ 21 \times 1.4 \\ \\ 29.4[/tex]
Find the sum.
([tex](-54x^{5}+35x^{3}-61)+(5x^{5}-69x^{3}-7)=[/tex]
Answer:
125250
Step-by-step explanation:
I just askeked and it gave me the answere
Answer: [tex]-49x^{5} - 34x^{3} - 68[/tex] or [tex]49x^{5} + 34x^{3} + 68[/tex]
Step-by-step explanation:
Since both groups have the same variables and exponents, just align them and add.
[tex]-54x^{5}+5x^{5} = - 49x^{5}[/tex]
[tex]35x^{3} - 69x^{3} = -34x^{3}[/tex]
- 61 - 7 = - 68
[tex]-49x^{5} - 34x^{3} - 68[/tex]
please help me...!!!???????????????????????????????????????????
Answer: C
Step-by-step explanation:
(rx+t)/s = w [given]rx+t = sw [multiply both sides by s]rx = sw-t [subract t from both sides]x = (sw-t)/r [divide both sides by r]An equation is formed of two equal expressions. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for x as shown below, Therefore,
[tex]\dfrac{rx+t}{s} = w\\\\[/tex]
Using the multiplication property of equality, multiply s on both the sides of the equation,
rx + t = ws
using the subtraction property of equality, subtract t on both the sides of the equation,
rx = ws - t
[tex]x = \dfrac{sw-t+t}{r}[/tex]
Hence, the correct option is C.
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Each team is required to bring 24 baseballs to each game. If there are 3
baseballs in a pack, how many total packs do the teams bring to each game?
The total packs the teams bring to each game is 8 packs.
How many packs do the team bring to each game?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
Number of packs = 24 ÷ 3 = 8
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4
Jake is the starting quarterback on his school's football team. He has completed 38 of his 79 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
OA. 51%
OB. 48%
OC. 38%
OD. 30%
Reset
Submit
Session Timer: 7:52
Session Score:?
Please help
Answer: A) 51%
Step-by-step explanation:
We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.
38 rounds up to 40 and 79 rounds up to 80.
Now it is easier to divide.
40/80=1/2
1/2=50%
The closest answer to 50% is 51% which must be the answer.
Answer:
A)
Step-by-step explanation:
Find the range and standard deviation of the set of data.
210, 213, 216, 219, 222, 225, 228
Answer:
range = 18 and SD = 6
Step-by-step explanation:
range = max - min
= 228 - 210
= 18
FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*
follow these steps:
1. press mode then STAT
2. then press 1-VAR
3. put all the numbers on the table in ascending order
4 after press AC
5. press shift then 1
6. you will see many things but we are only interested in standard deviation, press *Var*
7. then select the standard deviation sign and press the equal sign
Solve for all values of y
in simplest form.
∣y−12∣=16
Answer:
[tex]y=-4; y=28[/tex]
Step-by-step explanation:
The way I like to think about it, with absolute value meaning the distance is
"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).
More formally, applying the definition of absolute value,
[tex]|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28[/tex]
The amount of a pollutant (measured as parts per million) in a local lake can be modeled by the function of A(t)=14(2.71)^-.016*t, where t is the number of years since a government program was began to help clean up the lake. About how long will it take for the amount of pollutant to reach 7 parts per million?
Solving the exponential function, it is found that it will take 43.5 years for the amount of pollutant to reach 7 parts per million.
What is the exponential function for the amount of the substance?It is given by, after t years:
[tex]A(t) = 14(2.71)^{-0.016t}[/tex]
It will reach an amount of 7 parts per million when A(t) = 7, hence:
[tex]A(t) = 14(2.71)^{-0.016t}[/tex]
[tex]7 = 14(2.71)^{-0.016t}[/tex]
[tex](2.71)^{-0.016t} = 0.5[/tex]
[tex]\log{(2.71)^{-0.016t}} = \log{0.5}[/tex]
[tex]-0.016t\log{(2.71)} = \log{0.5}[/tex]
[tex]t = -\frac{\log{0.5}}{0.016\log{2.71}}[/tex]
t = 43.5.
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Hello, I would like help with his question. Please do as quickly as you can, Thank you.
Answer:
Step-by-step explanation:The answer is 45
PLEASE HELP
True or false
False
Step-by-step explanation:
Answer:
true.
Step-by-step explanation:
[tex]b^t=\frac{n}{a}; \ = > \ t=log_b\frac{n}{a}; \ = > \ t=\frac{log\frac{n}{a}}{logb}.[/tex]
How many full cases and additional items are needed to fulfill the order 80 6
The number of cases is 13 and the additional units are 2 if the 80 units needed 6 units per case.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
80 units needed 6 units per case. What are the number of cases and the number of additional units?
Total number of units = 80 units
6 units per case
Number of case = 80/6 = 13.33 ≈ 13
Total units if the number of cases = 13
= 13×6
= 78
Additional units = 80 - 78 = 2 units
Thus, the number of cases is 13 and the additional units are 2 if the 80 units needed 6 units per case.
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Need help pls..........................................
Answer:
6, -2
Step-by-step explanation:
basically It asks you what's x when y=2, which on the graph is 6, -2, and -5 I think. but there is no point on the -5 so we don't need to talk about that one.
what is the domain of the function f(x)=x-9/x+8? Write your answer in interval notation.
Answer: [tex](-\infty, -8) \cup (-8, \infty)[/tex]
Step-by-step explanation:
I'm assuming you meant [tex]f(x)=\frac{x-9}{x+8}[/tex]
For this function, we need to make sure the denominator is not equal to 0, because if it was, then the fraction would be undefined.
Thus, [tex]x+8 \neq 0 \longrightarrow x \neq -8[/tex]
In interval notation, this is [tex](-\infty, -8) \cup (-8, \infty)[/tex]
A firm that sells e-books - books in digital form downloadable from the Internet - sells all e-books relating to do-it-yourself topics (home plumbing, gardening, and so on) at the same price. At present, the company can earn a maximum annual profit of $ when it sells copies within a year's time. The firm incurs a -cent expense each time a consumer downloads a copy, but the company must spend $ per year developing new editions of the e-books. The company has determined that it would earn zero economic profits if price were equal to average total cost, and in this case it could sell copies. Under marginal cost pricing, it could sell copies.
Part 2
In the short run, to the nearest cent, what is the profit-maximizing price of e-books relating to do-it-yourself topics? $
enter your response here.
Part 3
At the profit-maximizing quantity, to the nearest cent, what is the average total cost of producing e-books? $
enter your response here.
The profit-maximizing price of e-books relating to do-it-yourself topics is $5.35 and the average total cost of producing e-books is $4.35.
Profit-maximizing price and average total costa. Profit-maximizing price
The maximum that the firm can earn is $35,000 at a quantity of 35,000 copies
Fixed cost FC = $140,000
Variable cost vc=$0.35 per book
Total Revenue TR =P XQ
Total Revenue TR= P x 35,000
Total Cost TC = FC + VC XQ
Total Cost TC = 140,000 + (0.35×35,000)
Total Cost TC = 140,000 +$12,250
Total Cost TC = $152,250
Profit = TR- TE
35,000 = 35,000P- $152,250
35,000P=187,250
P=187,250/35,000 copies
P=$5.35
b. Average total cost
Average total cost=Total cost/Quantity
Average total cost= $152,250/35,000 copies
Average total cost=$4.35
Therefore the profit-maximizing price of e-books relating to do-it-yourself topics is $5.35 and the average total cost of producing e-books is $4.35.
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The complete question is:
A firm that sells e-books - books in digital form downloadable from the Internet - sells all e-books relating to do-it-yourself topics (home plumbing, gardening, and so on) at the same price. At present, the company can earn a maximum annual profit of $35,000 when it sells 35,000 copies within a year's time. The firm incurs a 35-cent expense each time a consumer downloads a copy, but the company must spend $140,000 per year developing new editions of the e-books. The company has determined that it would earn zero economic profits if price were equal to average total cost, and in this case it could sell 40,000 copies. Under marginal cost pricing, it could sell 120,000 copies.
In the short run, to the nearest cent, what is the profit-maximizing price of e-books relating to do-it-yourself topics?
At the profit-maximizing quantity, to the nearest cent, what is the average total cost of producing e-books?
Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. His brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). Let a represent the area in square meters and l represent the length in meters of the pieces of land. The two equations plotted on a graph meet at a point as shown in the image.
The area of the brothers’ pieces of land will be the same when the length is ______ meters.
Answer:2
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
If you receive a 25% MARKUP on an item costing $60.00, how much money do you pay in total?
Answer:
Money Paid in Total = $45
Step-by-step explanation:
Firstly, the term Mark-up refers to the amount added to the cost price to cover the overheads and realize a profit.
A mark-up percentage is a percentage (%) that is used as a basis to determine the mark-up value.
Given
Cost of an Item = 60$
Markup % = 25% on cost
Hence, Mark up in $ = 60$*25%
= 15$
Therefore, Actual cost of an item = Cost of an item - Mark up on Item
= 60$ - 15$
= 45$
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Which expression shows the sum of the polynomials with like terms grouped together?
The expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]
How to group the polynomial by like terms?We have:
10x²y + 2xy² - 4x² - 4x²y
Collect the like terms
- 4x² + 2xy² + 10x²y - 4x²y
Put each group in bracket
- 4x² + 2xy² + [10x²y - 4x²y]
Express as positives
[-4x²] + 2xy² + [10x²y + (-4x²y)]
Hence, the expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]
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Answer:
c
Step-by-step explanation:
A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?
39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:
We can write a mixed fraction in a fraction:
6 1/2 = 13/2
8 1/2 = 33/2
7 3/4 = 31/4
8 1/12 = 97/12
8 5/12 = 101/12
Adding all the fractions:
[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]
[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]
[tex]=23+\dfrac{64}{4}[/tex]
= 39 hours
Thus, 39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
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What is the lowest value of the range of the function
shown on the graph?
O -∞
O -2
0 0
03
The question is incomplete. Below you will find the missing graph.
The lowest value of the range of the function shown on graph is (B) -2.
A graph is the pictorial representation of the function or mathematical relation (Equation or Inequality etc).
The lowest value of the graph is the value of y when y=f(x) gives the least value.
From the given graph we can clearly see that at x=3 the graph of the given function approaches the least value which is -2.
So the lowest value of the range of the function shown on the graph is -2.
Hence the correct option is (B).
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If everything in a store is 20% off, and the discounted price of an item is $18.00, what is
the regular price?
The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
If everything in a store is 20% off, and the discounted price of an item is $18.00
Let's suppose the regular price is x
(100-20)% of x = 18
80x/100 = 18
x = $22.5
Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00
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Determine if a Poisson experiment is described, and select the best answer:
A paper mill produces paper that comes in 3000-foot rolls. The average number of
defects in the paper is known to be 38.9 per roll. The manager would like to know the
probability that the first 100 feet of paper in the next roll produced will have 0 defects.
The corollary of the statement tends that its not the Poisson experiment.
It is a statistical approach to follow properties that The experiment outcomes that can be opted as successes or failures. That gives a outcome in a specified region is known in average number of successes i.e. (μ).
The probability of a given task is not a Poisson experiment because the mean number of successful outcomes in its domain neither constant nor given.
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Find the missing side of this right
triangle.
19
X
X =
16
✓[?]
Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter
Answer:
Step-by-step explanation:
we are essentially calculating:
4(1/4)^0 + 4(1/4)^1 + 4(1/4)^2 + ... + 4(1/4)^9
Formula: [tex]\frac{a(1-r^n)}{1-r}[/tex]
4(1-(1/4)^10)/ (1-1/4) approximates to 5.33
Write an equation of a line in slope-intercept form that passes through (-2, 1) with a slope of 5. Write an equation of a line in slope - intercept form that passes through ( -2 , 1 ) with a slope of 5 .
Answer:
y = 5x + 11
Step-by-step explanation:
We are given that a line passes through (-2, 1) and also it contains a slope of 5
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y axis
As we are already given the slope, we can immediately substitute it into the formula
Replace m with 5 in y=mx+b:
y = 5x + b
Now we need to find b
As the equation passes through the point (-2, 1), we can use its values to help solve for b.
Substitute -2 as x and 1 as y:
1 = 5(-2) + b
Multiply
1 = -10 + b
Add 10 to both sides
11 = b
Substitute 11 as b in the equation
y = 5x + 11
Topic: finding the equation of the line
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Find the value of x
The value of x for the missing lengths in the given chords in the circle is; x = 4
How to Use the Intersecting Chord Theorem?The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
Thus, for two chords AC and BD intersecting in a point S the following equation holds: AS * SC = BS * SD
Thus, for this question;
8(x + 2) = 12x
8x + 16 = 12x
12x - 8x = 16
4x = 16
x = 16/4
x = 4
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prove that ABC is a right triangle. Select the correct answer from each drop down menu.
All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.
What is Right Angled Triangle ?A triangle in which one angle is 90 degree is called a Right Angled Triangle.
AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .
DE² +EF² = DF² by the Pythagoras Theorem .
WE are given that AB² +BC² = AC²
Since DE = AB and EF = BC , DE² +EF² = AC² by the given data
Also DF² = AC² by the above equation .
Taking the square root on both the sides of the equation gives DF = AC .
So AC is congruent to DF by the definition of congruency .
Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.
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What is the distance from P to Q?
OA. 1 unit
OB. 7 units
OC. 5 units
D. 25 units
Answer:
C) 5 units
Step-by-step explanation:
In order to find the distance between points P and Q, we will be using the Distance Formula.
[tex]\sf \textsf{\underline{Distance Formula:}}\ \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given:
P (3, -1) Q (-1, -4)where:
⇒ x₁ = 3, y₁ = -1
⇒ x₂ = -1, y₂ = -4
Substitute these values into the formula:
[tex]\sf\\\implies d=\sqrt{(-1-3)^2+(-4-(-1))^2}\\\\\implies d=\sqrt{(-1-3)^2+(-4+1)^2}\\\\\implies d=\sqrt{(-4)^2+(-3)^2}\\\\\implies d=\sqrt{16+9}\\\\\implies d=\sqrt{25}\\\\\implies d=5[/tex]
The distance from P to Q is 5 units.
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What is the degree of the monomial?
8x²y³z4
thanks to you all for you help
Answer:yw
Step-by-step explanation:
A sub sandwich shop offers 12 toppings to choose from. How many ways could a person choose a 4-topping sandwich?
HELPPPPPP
Using the combination formula, it is found that there are 495 ways to choose a 4-topping sandwich.
The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
4 toppings are chosen from a set of 12, hence the number of ways is given by:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
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