Please help I’m being timed!! The computer rendering of a mural in a town’s square uses the function represented in the table to define the outline of a mountain in the town’s logo, where x is the distance in feet from the edge of the mural and f(x) is the distance from the ground in feet. How can the point (12, 16) be explained? A) The highest point of the mountain defined by the function is 12 feet. B) The highest point of the mountain defined by the function is 16 feet. C) The width of the base of the mountain defined by the function is 12 feet. D) The width of the base of the mountain defined by the function is 16 feet.
Answers
Answer:
The correct option is;
B) The highest point of the mountain defined by the function is 16
Step-by-step explanation:
From the given information, we have;
The distance in feet from the edge of the mountain is given as the independent variable, x
The distance in feet from the ground (which is the height) is given the as the dependent variable f(x)
Therefore, given that the point (12, 16) are the values of x and f(x) such that x = 12 and f(x) = 16 and 16 is the largest value of f(x) in the data, therefore, 16 represents the highest defined point of the mountain.
Related Questions
I dont know how to solve this question using proportions:
212.7 = 16.8% of
Answers
Answer:
17,725/14.
Step-by-step explanation:
Let's say that the blank is represented by x.
Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.
[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]
16.8 * x = 212.7 * 100
16.8x = 21,270
x = 21,270 / 16.8
x = 212,700 / 168
x = 17,725 / 14 = 1,266.071429
To check our work, 1,266.071429 * 0.168 = 212.7.
Hope this helps!
How many natural 4-digit numbers exist in which all of the digits are even?
Answers
Answer:
256
Step-by-step explanation:
the first digit cannot be 0, so there are only 4 even numbers
For the second, third, and fourth digits, there are 5 available numbers.
Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500
2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .
so number of ways is 4*4*4*4= 256 ways .
Rewrite y=x^2-8x+15 in vertex form. Then state whether the vertex is a maximum or a minimum and give it´s coordinates.
Answers
Answer:
[tex]\large \boxed{\sf \ \ y=(x-4)^2-1 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]y = x^2-8x+15\\ \\\text{*** we need to complete the square ***} \\ \\y=(x-4)^2-4^2+15=(x-4)^2-16+15=(x-4)^2-1[/tex]
And then the vertex is (4, -1) and as a > 0 the vertex is a minimum.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
what is 35 - (0.35 x 100)
Answers
Answer:
0
Step-by-step explanation:
First let's solve for the value in the parentheses.
[tex]0.35 \cdot 100 = 35[/tex]
We know this is correct because if we multiply a value by 100, the decimal point is moved 2 places to the left.
35 - 35 = 0, so the value of this expression equals out to be 0.
Hope this helped!
Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will add up to 72 years." How old is Vanessa? Please
Answers
Answer:
Vanessa is 60 and the other person is 12
Step-by-step explanation:
X + 5x = 72
6x = 72
x = 12
12 x 5 = 60
vanessa is 60
the other person is 12
60 + 12 = 72
Answer:
18
Step-by-step explanation:
Let's say x is Oscar's age, and y is Vanessa's age.
When Oscar was Vanessa's age, Vanessa was y−(x−y) = 2y−x years old. Oscar is five times older than this:
x = 5 (2y − x)
x = 10y − 5x
6x = 10y
3x = 5y
When Vanessa is Oscar's age, Oscar will be x+(x−y) = 2x−y years old. The sum of their ages will by 72.
2x−y + x = 72
3x − y = 72
Substituting:
5y − y = 72
4y = 72
y = 18
Vanessa is 18. Which means Oscar is 30.
Let's check our answer. When Oscar was 18, Vanessa was 6. Oscar is 5 times older than that (30). When Vanessa is 30, Oscar will be 42, and their ages will add up to 72.
Determine whether the data set is a population or a sample. Explain your reasoning. The temperature in four state capitals out of 50 Choose the correct answer below. A. Population, because it is a collection of temperatures for all of the state nbspcapitals. B. Sample, because it is a collection of temperatures for all of the state nbspcapitals comma but there are other countries. C. Sample, because the collection of temperatures for four state capitals is a subset of all state capitals. D. Population, because it is a subset of all state capitals.
Answers
Answer:
The correct answer is C. Sample, because the collection of temperatures for four state capitals is a subset of all state capitals.
Step-by-step explanation:
we cannot fully understand this answer without first defining the parameters that are involved in the questions, the two key terms are; Population or sample.
Population: a population contains all the set of data which is in consideration and
Sample: Sample is the range of values in an experiment.
The main difference between a population :A population basically includes all the elements from a set of data while a sample only consists of one or more observations drawn from the population.
we can say safely that a sample is a subset of a population.
Since we it have been stated that the temperatures of from four states capitals out of 50 states then our explanation supports our answer.
Help me with this please. I typed it on my iPad
Answers
Issac surveyed the employees at the law firm each employee was asked to record their highest level of education completed. Two hundred sixty six woolens completed the survey . How many of those people completed graduate school?
Answers
Complete Question :
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The
results are shown in the table below.
Highest Level of Education Completed
Education Level
Percentage
High School
5%
Community College
10%
Four-Year College
60%
Graduate School
25%
Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer:
65 people
Step-by-step explanation:
Given the following :
Number of survey participants = 260
Percentage that completed graduate school = 25%
Number of participants who completed graduate school ;
Total Number of participants × percentage that completed graduate school
260 participants × 25%
260 × 0.25
= 65
Answer:
65 people
Step-by-step explanation:
I took the test and that was the correct answer
Please help ill rate 5 stars and give brainlyest
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that, a menu at a local diner has
Appetizers = 12
Entrees = 8
Choice of desserts = 4
We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.
Total ways to select an Appetizers = 12
Total ways to select an entrees = 8
Total ways to select a desserts = 4
Now,
Total combinations for different meal [tex]=12\times 8\times 4=384[/tex]
Therefore, the correct option is C.
Answer:
see below
Step-by-step explanation:
the answer is c
What is the 52nd term of -11,-2,7,16,25,34
Answers
Answer:
448
Step-by-step explanation:
Formula
tn = a + (n - 1)d
Givens
a = - 11
n = 52
d = 9
Solution
t52 = -11 + (51)*9
t52 = - 11 + 459
t52 = 448
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.
solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine
to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20
need help A S A P NOWWWWW
Answers
Answer:
x = 73
Step-by-step explanation:
The measure of the sum of the arcs in a circle = 360°.
Sum the given arc measures and equate to 360, that is
95 + 52 + 67 + 2x = 360
214 + 2x = 360 ( subtract 214 from both sides )
2x = 146 ( divide both sides by 2 )
x = 73
11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?
Answers
Answer:
$1280000
Step-by-step explanation:
Given that :
John has a life insurance policy that will pay his family $32,000 per year if he dies
If interest rates are at 2.5% when the insurance company has to pay
The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.
i.e
the amount of the lump sum = $32000/2.5%
the amount of the lump sum = $32000/0.025
the amount of the lump sum = $1280000
Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch is modeled by h(t)=-5t^2+40th(t)=−5t 2 +40th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 40, t Paige wants to know when the ball will hit the ground. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) How many seconds after launch does the ball hit the ground? seconds
Answers
Answer:
1) Factor form : [tex]h(t)=-5t(t-8)[/tex]
2) 8 second after launch.
Step-by-step explanation:
The height of the ball (in meters above the ground) t seconds after launch is modeled by
[tex]h(t)=-5t^2+40t[/tex]
To find the time when ball hit the ground, we need to find the factor form of the given function.
[tex]h(t)=-5t(t-8)[/tex]
When ball hi the ground, then height of the ball from the ground is 0.
[tex]h(t)=0[/tex]
[tex]-5t(t-8)=0[/tex]
Using zero product property, we get
[tex]-5t=0\Rightarrow t=0[/tex]
[tex]t-8=0\Rightarrow t=8[/tex]
Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.
Answer:
-5t(t - 8) and it hit 8 seconds after launch.
What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6
There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).
Answers
Answer:
There is no solution.
Rewrite -2x + y = -6 so it starts with y =...
y = 2x - 6
Substitute that in 2/3x - 1/3y = -2 gives:
2/3x - 1/3*(2x -6) = -2
2/3x - 2/3x + 2 = -2
0 + 2 = -2
This statement is not true, and that means there is no solution.
Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased
Answers
Answer:
[tex]\large \boxed{87.5 \, \%}[/tex]
Step-by-step explanation:
Let x = the original number of books
Then 0.375x = the total number of biographies
and 0.20 x = the original number of biographies
[tex]\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}[/tex]
A collection of 108 coins containing only quarters and nickels is worth $21. A table titled Coin Collection showing Number of Coins, Value, and Total. The first row shows Nickels, and has n, 0.05, and 0.05 n. The second row shows, Quarters, and has q, 0.25, and 0.25 q. The third row shows total, and has not entries. Which value could replace q on the chart? 21 108 21 – n 108 – n
Answers
Answer:
q = 108-n
Step-by-step explanation:
Given: 108 coins containing only quarters and nickels
q = 108-n
since total number of coins is 108, and n= number of nickels
If you want to know how many of each kind of coin, read on:
First solve the number of quarters and nickels.
If all 108 coins are quarters, the value is 108*0.25 = $27
Since this value exceed the actual by 27-21 = $6,
we replace a number of quarters by nickels.
Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.
So it will take 6/0.2 = 30 replacements.
Therefore there are 108-35 = 78 quarters and 30 nickels.
The solution is : q = 108-n, is the value could replace q on the chart.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given:
108 coins containing only quarters and nickels
q = 108-n
since total number of coins is 108, and n= number of nickels
If you want to know how many of each kind of coin, read on:
First solve the number of quarters and nickels.
If all 108 coins are quarters, the value is 108*0.25 = $27
Since this value exceed the actual by 27-21 = $6,
we replace a number of quarters by nickels.
Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.
So it will take 6/0.2 = 30 replacements.
Therefore there are 108-35 = 78 quarters and 30 nickels.
The solution is : q = 108-n, is the value could replace q on the chart.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ7
Someone plz Help its due now!!! In a histogram, if I have 0-2 does this count everything up to 2, or does this count 2?
Answers
Answer:
everything
Step-by-step explanation:
because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps
Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?
Answers
Answer:
sqrt( A / pi ) =r
Step-by-step explanation:
Α= pi r^2
Divide each side by pi
A / pi = r^2
Take the square root of each side
sqrt( A / pi ) = sqrt(r^2)
sqrt( A / pi ) =r
Answer: A/2pi = r
all you have to do is single out the r to get the new equation
in the circle, m∠S=33°, mRS=120, and RU is a tangent. the diagram is not drawn to scale. what is m∠U? Please help!
Answers
Answer:
27°
Step-by-step explanation:
arc RT = 66
1/2(120 - 66) = 27
Answer:
∠ U = 27°
Step-by-step explanation:
The inscribed angle S is half the measure of its intercepted arc, thus
arc RT = 2 × ∠ U = 2 × 33³ = 66°
The secant- tangent angle U is half the measure of the difference of the measures of the intercepted arcs, that is
∠ U = 0.5( RS - RT) = 0.5(120 - 66)° = 0.5 ×54° = 27°
Find SP when CP=Rs.400 and proft%=4%
Answers
Answer:
[tex]\boxed{Selling\ Price = Rs.\ 424}[/tex]
Step-by-step explanation:
Cost Price = Rs. 400
Profit = 4 % of Cost Price
=> [tex]\frac{4}{100} * 600[/tex]
=> 4 * 6
=> Profit = Rs. 24
Now, Selling Price = Cost Price + Profit
Selling Price = 400+24
Selling Price = Rs. 424
Answer:
Selling price = ₹ 416
Step-by-step explanation:
Cost Price = ₹ 400
Profit% = 4 %
Profit = 4 % of cost price
= [tex]\frac{4}{100}*400\\\\[/tex]
= 4 * 4
= ₹ 16
Selling price = Cost price + profit
= 400 + 16
= ₹ 416
Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if the small end is square with one side of length 17 in. and the larger square end is of length 19 in. on one side with a slant height of 2 in.
Answers
Answer:
288 in²
Step-by-step explanation:
The formula used to solve this question is :
Lateral Surface Area = s( P1 + P2)
Where s = slant height = 2 inches
P1 and P2 = Perimeter of the bases
Perimeter of base 1 = 4 × length of the end of the small square
4 × 17 inches = 68 inches
Perimeter of base 2 = 4 × length of the end of the large square
4 × 19 inches = 76 inches
Lateral Surface Area = 2 × (68 + 76)
= 2 × 144
= 288 in²
The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction
Answers
Answer:
[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]
Step-by-step explanation:
Given
[tex]n(Brown) = 20[/tex]
[tex]n(Green) = 6[/tex]
[tex]n(Blue) = 17[/tex]
[tex]n(Hazel) = 7[/tex]
Required
Determine the probability of Brown or Green eyes
First, the total number of respondents have to be calculated;
[tex]Total = 20 + 6 + 7 + 17[/tex]
[tex]Total = 50[/tex]
The events described above is a mutually exclusive event and as such, the required probability will be calculated by;
[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]
Calculating P(Brown)
[tex]P(Brown) = \frac{n(Brown)}{Total}[/tex]
Substitute 20 for n(Brown) and 50 for Total
[tex]P(Brown) = \frac{20}{50}[/tex]
Calculating P(Green)
[tex]P(Green) = \frac{n(Green)}{Total}[/tex]
Substitute 6 for n(Green) and 50 for Total
[tex]P(Green) = \frac{6}{50}[/tex]
So;
[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]
[tex]P(Brown\ or\ Green) = \frac{20}{50} + \frac{6}{20}[/tex]
Take LCM
[tex]P(Brown\ or\ Green) = \frac{20+6}{50}[/tex]
[tex]P(Brown\ or\ Green) = \frac{26}{50}[/tex]
Divide the numerator and denominator by 2
[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]
Answer:
13/25
Step-by-step explanation:
Total number of people = 50
Probability of choosing a person with brown eyes [P(A)] = 20/50
Probability of choosing a person with green eyes [P(B)] = 6/50
Using the addition rule of mutual exclusive events (since they have specified brown OR blue, we use this formula):
P(A U B) = P(A) + P(B)
=> P(A U B) = 20/50 + 6/50 = 26/50 = 13/25
Therefore the probability of a person choosing a group that has brown or green eyes = 13/25
Also I got it right on edge haha, if you're still worried!!!!!!!!
Hope this helps :))))))))))))))
Text: these two triangles are similar
Values from left to right: 10, 12, 9
What is the area of the shaded area
Answers
Answer:
26.25 cm²
Step-by-step explanation:
The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.
Since the triangles are similar then the ratios of corresponding sides are equal.
let the height of the white triangle be h, then
[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )
12h = 90 ( divide both sides by 12 )
h = 7.5
shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²
PLEASE help me...! I am really stuck on this question.
Answers
Answer:
D
Step-by-step explanation:
the domain of 3^x is (-∞,∞) and the range is (0,∞)
the domain of 3^x-5 is (-∞,∞) and the range is (-5,∞)
the domain doesn't change, the range (-5,∞)
What number is 16% of 80?
Write and solve an equation to answer the question.
Answers
Answer:
The answer is 12
Step-by-step explanation:
Trust me, kay? Please mark Brainliest!!!!
Answer:
12.8
Step-by-step explanation:
16% of 80
[tex]\frac{16}{100}[/tex] × 80
[tex]\frac{16}{10}[/tex] × 8
[tex]\frac{16}{5}[/tex] × [tex]\frac{4}{1}[/tex]
16 × 4
5
12[tex]\frac{4}{5}[/tex] = 12.8
The measure of one base angle is an isosceles triangle is 20 degree. the measure of the largest angle in the triangle is
Answers
Answer:
140°
Step-by-step explanation:
Every triangles angles when combined equals 180°
In an isosceles triangle there are 2 acute angles and one obtuse angles.
It was given that the base angle/acute angle is 20°
This brings us to our equation. 20° + 20° + x = 180°
20 + 20 = 40
40 + x = 180
Now we solve algebraically:
180-40= 140
Therefore the answer is x = 140°
I hope this helps!
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl? (Note: If your fraction will reduce, you need to reduce it.)
Answers
This means there is a 3/5 chance that a randomly chosen student is a girl.
Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number.
Answers
Answer:
366 minutes
Step-by-step explanation:
divide 15000 by 41
HELP MEEEEEEE please
Answers
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Consider the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{T'V'}{TV}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]