Answer:
50 gallons
Step-by-step explanation:
6400 ÷ 128
= 50
Help Please! Will give brainlest!
Answer:
[tex] = \frac{10}{0.2} = \frac{100}{2} = 50 \\ = \frac{10}{0.02} = \frac{1000}{2} = 500 \\ = \frac{10}{0.002} = \frac{10000}{2} = 5000 \\ \\ [/tex]
hopefully that will help u
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
g(x) = square root 49 - x squared
The critical number are 0, 7 , -7.
Given function:
g(x) = [tex]\sqrt{49-x^{2} }[/tex]
first derivative is,
= -x/([tex]\sqrt{49-x^{2} }[/tex] )
-x = 0 or x = 0
[tex]\sqrt{49-x^{2} }[/tex] = 0
49 - [tex]x^{2} =0[/tex]
49 = [tex]x^{2}[/tex]
x = 7 , -7.
Therefore the critical number are 0, 7 , -7.
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The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.
Which inequality can be used to determine the maximum number of hours h the
frozen yogurt machine can be used if the rental cost for the day will not exceed $300?
The inequality that can be used to determine the maximum number of hours h the frozen yogurt machine can be used if the rental cost for the day will not exceed $300 is 150+25h ≤300.
According to the question,
We have the following information:
The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.
And h represents the number of hours.
So, we have the following expression to find the total cost:
150+25h
Now, it is given that the total rental cost should not exceed $300.
So, we have the following inequality:
150+25h ≤300
Hence, the correct option is C.
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9x^7/3x^2=3x^9 true or false
Answer:
False
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
given
[tex]\frac{9x^7}{3x^2}[/tex]
= [tex]\frac{9}{3}[/tex] × [tex]\frac{x^7}{x^2}[/tex]
= 3 × [tex]x^{(7-2)}[/tex]
= 3[tex]x^{5}[/tex]
Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18
Option A. The statement that can be said to be true for h is h(2) = 16
How to get the domainIf we look at the domain and range, we can rule out some straight away.
For h - 3 = -1
this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25
When h is 13 = 18
This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11
When h is 8 = 21
there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19
Therefore on h(2) = 16
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Identify the function shown in this graph. 3 17 3 2 12 1 1 2 3 4 5 A. y=-3x +3 B. y = -3x-3 PLEASE HELP ME ANSWER THIS I WILL GIVE 30 POINTS AND A BRAINLYEST
Answer:
It's B. A good way to look at it is the last number. The last number is the y-intercept. Here the y-intercept is -3. That's how I would always figure it out.
Abigail is studying for the school spelling bee. She already knows 150 words from the vocabulary list. Each day, she learns 50 additional words from the vocabulary list.
Which equation can be used to determine the total number of words Abigail knows from the vocabulary list, y, over x days?
A. y = 50x + 150
B. y = 50(x + 150)
C. y = 50x - 150
D. y = 150x + 50
The equation that can be used to determine the total number of words Abigail knows from the vocabulary list, y, over x days is A. y = 50x + 150
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, Abigail already knows 150 words from the vocabulary list and each day, she learns 50 additional words from the vocabulary list.
Let x be the number of days.
y = vocabulary list
The equation will be:
y = 150 + 50x
Therefore, the correct option is A.
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already answered 1 and 2. i think 3 is "definition of midpoint". is this correct? what are the other two? thank you
Question
Estimate the mean of the number of points deducted from each student on an economics test given in the follow
grouped frequency table.
• Round the final answer to one decimal place.
Value Interval
0-3
4-7
8-11
Frequency
12
20
8
According to the following frequency table, the mean of the number points deducted from each student on an economics is 5.1
Frequency table:
Frequency table means the method of organizing raw data in a compact form by displaying a series of scores in ascending or descending order, together with their frequencies—the number of times each score occurs in the respective data set.
Given,
Here we need to determine the mean of the number of points deducted from each student on an economics test given in the follow grouped frequency table.
For the given table of data, the frequency table of the data is attached below.
In order to find the mean of the frequency table we have to use the following values,
The total frequency is 204
And the number of frequency is 40.
So, the mean is
=> 204/40
=> 5.1
Therefore, the mean of the data is 5.1
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calculate the distance between two points a(-9,-10) and b(0,-10)
Answer:
The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x2 - x1)2 + (y2 - y1)2. where (x 1, y 1) and (x 2, y 2) are the coordinates
Step-by-step explanation:
Question 8 (1 point)
The selling price of a widget is $15 and the fixed cost per month is $4,800. The variable cost per widget is $9. Calculate the
contribution margin rate.
0000
b
C
d
Question 8 of 20 | Page 8 of 20
40%
60%
30%
50%
The contribution margin rate is 40%.
What is contribution margin rate?
A company's contribution margin rate is the total revenue minus variable costs divided by the revenue.
First we need to determine the contribution margin in order to calculate the contribution margin rate. There are two approaches to determine the contribution margin.
Contribution Margin = Net Sales Revenue – Variable CostContribution Margin = Fixed Costs + Net IncomeContribution Margin = $15 - $9 = $6
The contribution margin is $6.
Now we will calculate the contribution margin rate using this formula,
Contribution Margin Rate = Contribution Margin [tex]/[/tex] Sales Revenue
Contribution Margin Rate = $6 / $15
= 0.4 * 100
= 40%.
Hence the contribution margin rate is 40%.
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6. MJ is creating a graph of the equation
2x + 4y = -8. Which of the following points will
lie on the line?
a. (2,4)
b. (-2,-1)
c. (2, 1)
d. (4,4)
HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20 customers who sold a detached, residential house through HOME and record the selling times (in days) of the houses. Your data are summarized below:
Selling Time Frequency
0 10 3
10 20 4
20 30 6
30 40 4
40 50 3
Find the proportion of selling times in the sample that are less than 20 days claims that it can sell a detached, residential house faster than any other realty company.
The proportion of selling times is 0.35
From the question, we have
Selling Time___ Frequency
0 10____________3
10 20__________ 4
20 30__________ 6
30 40__________ 4
40 50__________ 3
Proportion of selling times in sample above that are less than 20 days :
total frequency = (3 + 4 + 6 + 4 + 3) = 20
Selling time which is less Than 20 days :
(0 - 10) = 3
(10 - 20) = 4
Total = (3 + 4) = 7
Proportion = selling time less Than 20 days / total frequency
= 7 / 20
= 0.35
Addition:
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.
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The cost to attend a public university in a recent year is $16,241. The circle graph to
the right shows the percentage of that cost for tuition/fees, room, board, and
computer costs. Determine the cost, in dollars, for each category.
The cost of tuition and fees is $.
(Round to the nearest cent as needed.)
The cost of room is $.
(Round to the nearest cent as needed.)
The cost of board is $.
(Round to the nearest cent as needed.)
The computer costs are $
(Round to the nearest cent as needed.)
Cost to Attend a Public University
Tuition/Fees 36.9%
Room 31.5%
Board 24.9%
Computer costs 6.7%
Answer:
Tuition and Fees = $5,992.93
Room = $5,115.92
Board = $4,044.01
Computer Costs = $1,088.15
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides. Question 4 options: A) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides. B) X → Z: If a shape has three sides, then it's a triangle. C) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°. D) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
The correct statement that is a combination of both conditional statements is; X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
How to interpret conditional statements?
A triangle is defined as a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.
We are given the conditional statements as;
X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle.
Y → Z: If a shape is a triangle, then it has three sides.
Now, transitive property states that “if two quantities are equal to a third quantity, then we can say that all the quantities are equal to each other”.
Thus, applying transitive property to our given statements we can say that; X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
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How do I factor 250n2 + 20n8?
Step-by-step explanation:
[tex]250n^2+20n^8[/tex]
common factor is [tex]10n^2[/tex]:
[tex]10n^2(25 +2n^6)[/tex]
rearrange:
[tex]10n^2(2n^6+25)[/tex]
I need answer asap thank you
The measure of ∠QTS = 58°
Given; A triangle QPR
PQ = PR
this means that ∠ Q = ∠ R
and QR = QT this means ∠ R = ∠ T
And ST ║ QR
and QT is the transversal
From the above mentioned information we can conclude that
∠QTS = ∠TQR -------------- 1
Thus since ∠ Q = ∠ R
by using angle sum property of triangle we can conclude that
∠ Q + ∠ R = 116 [ exterior angle sum property ]
2 ∠ Q = 116
∠ Q = 58°
this means ∠ TQR = 58°
And from 1 we know that this angle is equal to angle QTS
Thus ∠QTS = ∠TQR = 58°
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How do you solve -110 + 96
Answer: -14
Step-by-step explanation:
−110+96
Add −110 and 96 to get −14.
−14
Answer: -14
Step-by-step explanation:
In this case, it's best you bring out the negative
- (110 - 96)
- (14)
= -14
Jasenio is shooting target practice with a bow and arrow. His target is a paper rabbit that runs along a track. The track is 50 meters away from Jasenio and he estimates that by the time the arrow reaches it, the paper rabbit will be at a point about 10 meters to the right of what would be directly in front of him. At what true bearing should Jasenio aim his bow and arrow?
a) 3.49°
b) 11.31°
c) 78.46°
d) 78.69°
The true bearing at which Jasenio should aim his bow and arrow is; b) 11.31°
How to apply Trigonometric Ratios?
We have different trigonometric ratios such as;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
We are told the track is 50 meters away from Jasenio and that by the time the arrow reaches it, the paper rabbit will be at a point about 10 meters to the right of what would be directly in front of him.
This means that there will be a right angle triangle formed with the height as 50 m and the base length as 10m. Thus, by trigonometric ratios, we have;
tan θ = 10/50
where θ is the true bearing angle. Thus;
tan θ = 0.2
θ = tan⁻¹0.2
θ = 11.31°
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At a fast food restaurant, customers are asked if they want to "round up" their bill to the next highest dollar and
donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y
cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally
likely to "round up" regardless of the amount of their bill. The density curve below models Y, the donation amount.
(a) What is the shape of the distribution of donations?
Amount of donation (cents)
(b) What proportion of donations are at least 75 cents?
(a) The shape of the distribution of donations is rectangular.
(b) The proportion of donations are at least 75 cents id 0.24
(a)The density curve is rectangular in shape.
This indicates that donations are distributed uniformly.
(b) From the question, we have
The probability of donations at least 75 cents as follows:
[tex]P(X\geq 75) =\int\limits^a_b {\frac{1}{99-0} } \, dx \\[/tex]
Substituting the limits, we get
[tex]P(X\geq 75) =\frac{99-75}{99} \\=\frac{24}{99} \\=0.24[/tex]
Probability:
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
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Explain in detail the difference of a linear, quadratic, and geometric relationships between two variables.
The difference of a linear, quadratic reation.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation.
Trigonometric ratios describe these operations. The ide and trigonometric functions In the previous chapters, we discovered that the polynomial equation is the equation that results from equating a polynomial function to zero. A linear equation results from equating a function to zero if it is a linear polynomial. We get a quadratic equation if the function is a quadratic polynomial.
When we graph a linear equation, we get a straight line, however with a quadratic equation, we get a parabola.
Unlike the slope of a linear polynomial, the slope of a quadratic polynomial is constant.
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Find two positive numbers whose difference is 20 and whose product is 429.
Which of the following examples would be continuous data?
How many people are late boarding an airplane?
The amount of diapers a newborn uses in a day.
The number of television shows on Netflix.
The volume of liquid in a pop can.
The example that would be continuous data is A. The volume of liquid in a pop can.
What is a continuous data?Continuous data is data that has no fixed value. Continuous data includes height, weight, temperature, and length. Some continuous data, such as a baby's weight in its first year or the temperature in a room throughout the day, will change over time.
Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. Continuous data consists of complex numbers and varying data values measured over a specific time period.
In this case, the volume of the liquid is s continuous data.
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Solve the equation for y in terms of x
8x=1-3y
enclose numerator and denominators in parentheses
The value of y in the equation in term of x is y= (1-8x)/(3)
What are algebraic equations?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.
The value of y can there be solved by firstly making 3y the subject of formula
3y= 1-8x
dividing both sides by 3
3y/3= (1-8x)/3
therefore y= (1-8x)/(3)
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Solve for x if log(x - 1) + log(x + 1) = log21
Answer: [tex]x=\pm \sqrt{22}[/tex]
Step-by-step explanation:
[tex]\log(x-1)+\log(x+1)=\log 21\\\\\log((x-1)(x+1))=\log 21\\\\\log(x^2-1)=\log 21\\\\x^2-1=21\\\\x^2=22\\\\x=\pm \sqrt{22}[/tex]
Answer:
sqrt(22) = [tex]\sqrt{22}[/tex]
Step-by-step explanation:
we can use the logarithm rule, "log x + log y = log(xy)" to solve this problem
log(x-1) + log(x+1) = = [tex]log((x-1)(x+1))[/tex] = log(21)
this means that x^2 - 1 equals 21
xx-1 = 21
xx=22
x=sqrt(22)
The population of a city can be modeled using the formula P=100,000e^(0.05t), where t is the number of years after 2012 and P is the city's population. Which of the following equations can be used to find the number of years after 2012 that the population will triple to 300,000?
Group of answer choices
t=3/(0.05e)
t=ln3/0.05
t=(ln200,000)/0.05
t=log3/0.05
The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B t = ln(3) / 0.05
Given,
The population of a city can be modeled using the formula P=100,000e^(0.05t)
t is the number of years after 2012
P is the population of the city
We have to find the equation that can be used to find the number of years after 2012 that the population will triple to 300,000.
Here,
Substitute 300000 in for P and solve for t
300000=100000e^0.05t
Divide both sides by 100000:
We get,
3 = e^0.05t
Multiply both sides by the natural log (ln)
Then,
ln(3) = 0.05t
Now, divide 0.05 on both sides to get t by its self
t = ln(3) / 0.05
Therefore,
The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B t = ln(3) / 0.05
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What is the x-intercept of the line with the equation 7x+4y=-28?
DC = 13.4 WHAT IS BD
Answer:
the answer is 6
Step-by-step explanation:
I hope I helped, if you have questions let me know. I'll try to answer.
Find the y intercept and slope of the linear equation
0 = 4.5 - 2y + 4.8x
At the toaster company, the weekly cost to run the factory is $1400 and the cost of producing each toaster is an additional $4 per toaster. Find a function rule representing the weekly cost in dollars, f(x), of producing x toasters.
Answer:
I believe... f(x)=1400+4x