Answer:
see below
Step-by-step explanation:
Let r = amount of the 7% solution
y represent the amount of the 15 percent solution
.07r + .15 y = (r+y) .12
r+y = 20
y = 20-r
.07r + .15 (20-r) = (20) .12
0.07r+0.15(20-r)=2.4
.07r+ 3 - .15r = 2.4
-.08r = 2.4-3
-.08r = -.6
Divide by-.08
r =7.5 Liters of the 7%
y = 20-7.5
y = 12.5 L of 12%
Check
.07 *7.5 + .15 (12.5) =20*.12
.525+1.875=2.4
2.4=2.4
Please help!! Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?
A) x = 0 and x = 2π∕3
B) x = 4π∕3 and x = –4π∕3
C) x = 0 and x =4π∕3
D) x = 2π∕3 and x = –2π∕3
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Answer:
D) x = 2π∕3 and x = –2π∕3
Step-by-step explanation:
The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...
(3/4)x = ±π/2
x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D
X^2 + 12x + c is a perfect square trinominal. What is the value of c?
c is 36.
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the 12x, what is left is the 12
since we also have the 2 (used for every square trinomial), 12/2 = 6
since c is the squared value, we do 6² = 36
hope it helps :)
Answer:
x2 + 2 (6) + 62 = (x + 6)2 a perfect square. Therefore c = 36
What is the slope of the line that contains these points? xxx 454545 494949 535353 575757 yyy 101010 555 000 -5−5minus, 5 slope:
Answer:
-5/4
Step-by-step explanation:
Given :
x : 45, 49, 53, 57
y : 10, 5, 0, - 5
The slope of the line :
Slope = Rise / Run
y2 = - 5, y1 = 10
x2 = 57, x1 = 45
Rise = y2 - y1 = - 5 - 10 = - 15
Run = x2 - x1 = 57 - 45 = 12
The slope = Rise / Run = - 15 / 12 = - 5/4
Answer:
-1
Step-by-step explanation:
i brought the answer correct
Order these in the correct order fanks
Answer:
0.05, 8%, 15/100, 3/10, 0.7
Step-by-step explanation:
so they are 5%, 8%, 15%, 30%, 70%
Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5
Given:
The polynomial is:
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
To find:
The simplified form of the given polynomial in standard form.
Solution:
We have,
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
Combining the like terms, we get
[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]
[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]
Now, rewrite this polynomial in standard form.
[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].
How many of 320 million Americans would you predict wear contact lens
Answer:
I think 40 - 60 Million Americans would wear contact lenses.
Scatterplots show:
A the frequency of individual test scores.
B causal relationships between two variables.
C two scores represented as individual points on the graph.
D bars representing different variables.
Answer:
B. causal relationships between two variables
Scatterplots show causal relationships between two variables. Option B is correct.
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.
Thus, Scatterplots show causal relationships between two variables. Option B is correct.
Learn more about scatter plots here:
https://brainly.com/question/29231735
#SPJ2
use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x
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Answer:
(x, y) = (3.5, -4)
Step-by-step explanation:
Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.
Subtract the second equation from 2 times the first.
2(4x +7y) -(8x +5y) = 2(-14) -(8)
9y = -36 . . . . . simplify
y = -4 . . . . . . . divide by 9
4x +7(-4) = -14 . . . . substitute for y in the first equation
4x = 14 . . . . . . . add 28
x = 3.5 . . . . divide by 4
The solution is (x, y) = (3.5, -4).
Find the measure of the missing angles. WILL GIVE BRAINLIEST
a yogurt shop offers 7 different flavors of frozen yogurt and 11 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping
answer: 77
Step-by-step explanation:
7×11=77
sorry if I'm wrong
Answer:
fijatebie nl aperguntaa
Step-by-step explanation:
How does the function notation compare with the standard notation?
PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!
Answer:
6) 6[tex]\sqrt{2}[/tex]
9) 40
10) [tex]\frac{5\sqrt{2} }{2}[/tex]
11) 13
Step-by-step explanation:
6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*[tex]\sqrt{2}[/tex]
9) Pythagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a
[tex]\sqrt{41^{2}-9^{2} }[/tex] which gives us 40
10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by [tex]\sqrt{2}[/tex] because we know that if 2 legs are equal, the hypotenuse is multiplied by [tex]\sqrt{2}[/tex]. Multiply the numerator and denominator by [tex]\sqrt{2}[/tex] because we can't have a square root in the denominator.
11) like #9 we have the a and b but we need to find c
a=5 b=12 c=r
so [tex]\sqrt{5^{2}+12^{2} }[/tex] which gives us 13
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {c}^{2} = {6}^{2} + {6}^{2} \\ {c}^{2} = 36 + 36 \\ c = \sqrt{2( {6}^{2} )} \\ c = \sqrt{2}{\sqrt{ {6}^{{2}} } } \\ c = 6 \sqrt{2} \: \: \: ans[/tex]
9TH PART:- GIVENRIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMBASE = 9HYPOTENUSE= 41SOLUTION->
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {41}^{2} = {x}^{2} + {9}^{2} \\ 1681 = {x}^{2} + 81 \\ 1681 - 81 = {x}^{2} \\ 1600 = {x}^{2} \\ x = \sqrt{40 \times 40} \\ x = 40 \: \: \: ans[/tex]
10 TH PART:-GIVEN
RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMTWO SIDES ( BASE AND PERPENDICULAR) R EQUAL TO SHYPOTENUSE= 5SOLUTION->[tex]{h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {5}^{2} = {s}^{2} + {s}^{2} \\ 25 = 2 {s}^{2} \\ 12.5 = {s}^{2} \\ \sqrt{12.5} = s \\ 3.5 = s \: \: \: ans[/tex]
11TH PART:- GIVEN RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMBASE = 5 PERPENDICULAR= 12 SOLUTION ->[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {r}^{2} = {12}^{2} + {5}^{2} \\ {r}^{2} \\ 144 + 25 \\ {r}^{2} = 169 \\ r = \sqrt{13 \times 13} \\ r = 13 \: \: \: \: ans[/tex]
HOPE IT HELPED
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: DEVIL005 \: \star[/tex]
Factor 60y-90-20X to identify the equivalent expressions.
Choose 2 answers:
A) 5(14y−16−4x)
B) 2(30−45−10)
C) 5(12y−18−4x)
D) 10(6y−9−2x)
Please I need help :)
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
<d = 90
<e = 46
<f = 134
Step-by-step explanation:
<d = 90 since it forms a straight line with a 90 degree angle
<e = 46 since they are vertical angles and vertical angles are equal
<f = 134 since it is a linear pair with 46 ( they add to 180) f+46 = 180
f = 180-46 f =
[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]
See this attachment
Your calculator is showing a result of 248.592.
What is this to the nearest whole number?
Peter is married and has two children. He wants to be sure that he has sufficient life insurance to take care of his family if he dies. Peter’s wife is a homemaker but attends college part-time pursuing a law degree. It will cost approximately $40,000 for her to finish her education. Since the children are teenagers, Peter feels he will only need to provide the family with income for the next 10 years. He further calculates that the household expenses run approximately $35,000 per year. The balance on the home mortgage is $30,000. Peter set up a college fund for his children when they were babies, and it currently contains sufficient funds for them to attend college. Assuming that Peter’s wife can invest the insurance proceeds at 8%, calculate the amount of insurance Peter needs to purchase.
Answer:
$304,853
Step-by-step explanation:
Given:
I - 8
N - 10
PMT - 35,000
FV - 0
solution :
We use the Budget method to estimate the amount of insurance needed
PV of annual expenses
=PV(8%,10,-33100) considering Rate=8%, N=10
PV - ? = $337,501.61
Amount of Insurance to Purchase = $234,853 + $40,000 + $30,000 = $304,853
WILL MARK BRAINIEST, QUESTION IS HARD, Ann works for a city’s parks and recreation department. She is looking for some commercial land to rezone for recreational use and has found two possible options. Ann’s first option is a plot of land adjacent to a current park. The current park is a square, and the addition will increase the width by 200 meters to give the expanded park a total area of 166,400 square meters. This equation represents the area of the first option, where x is the side length of the current square park: x2 + 200x = 166,400. Use the most direct method to solve this equation and find the side length of the current square park. Explain your reasoning for both the solving process and the solution.
Answer:
[tex]x =320[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 200x = 166400[/tex]
Required
Find x
We have:
[tex]x^2 + 200x = 166400[/tex]
Rewrite as:
[tex]x^2 + 200x - 166400 = 0[/tex]
Expand
[tex]x^2 + 520x - 320x - 166400 = 0[/tex]
Factorize
[tex]x(x + 520) - 320(x + 520)= 0[/tex]
Factor out x + 520
[tex](x - 320) (x + 520)= 0[/tex]
Split
[tex]x - 320 = 0\ or\ x + 520= 0[/tex]
Solve
[tex]x = 320\ or\ x =- 520[/tex]
Side length must be positive;
So:
[tex]x = 320[/tex]
What is the median for the set of data?
Ages
Stem Leaves
6 0, 5, 8
7 0, 2, 3, 5, 7, 8, 9
8 0, 2, 3, 4, 5, 6, 8, 9
9 6, 6, 7, 8
6|0 = 60 years old
81
38
96
80
Answer:
96
Step-by-step explanation:
The figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas
(integer or a simplified fraction)
Thank you!
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Answer:
perimeter: 3 : 4area: 9 : 16Step-by-step explanation:
The perimeter ratio smaller : larger is the same as the side length ratio.
18 : 24 = 3 : 4 . . . smaller : larger perimeter ratio
The area ratio is the square of this.
3^2 : 4^2 = 9 : 16 . . . smaller : larger area ratio
46. Five people L, M, n, O and P sit in a row, not necessarily in the same order.
P sits exactly in between Mand n. if Lsits exactly in between Mand O, then
which of the following must be true?
(A) O sits to the immediate right of M.
(B) L and n always sit together.
(C) M sits exactly at the centre of the row.
(D) P sits between Mand L.
caniay Gannat Dhruy. nagrai and Jiyan are
I need to increase my sales by 35% in order to meet my goal for the month you currently have 45 sales and you will need to get blank in order to meet your goal
Answer:
61 sales
Step-by-step explanation:
First find the increase
45 * 35%
45*.35
15.75
Add this to your sales
45+15.75
60.75
Since you cannot have part of a sale, round up
61 sales
Please help out really need it !!
Answer:
use the area formula
Step-by-step explanation:
Answer:
rounded to the nearest tenth i think its 40
A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 1 or more, the lot fails inspection. Suppose 30% of the bulbs in the lot are defective.
Required:
What is the probability that the lot will pass inspection?
Answer:
0.0016 = 0.16% probability that the lot will pass inspection.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Sample of 18 light bulbs
This means that [tex]n = 18[/tex]
30% of the bulbs in the lot are defective.
This means that [tex]p = 0.3[/tex]
What is the probability that the lot will pass inspection?
It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]
0.0016 = 0.16% probability that the lot will pass inspection.
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/1+x a=2
If f(x) = 7/(1 + x), then
f (2) = 7/3
f '(x) = -7/(x + 1)² ==> f ' (2) = -7/9
f ''(x) = 14/(x + 1)³ ==> f '' (2) = 14/27
f '''(x) = -42/(x + 1)⁴ ==> f ''' (2) = -14/27
Then the Taylor series of f(x) about a = 2 is
7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³
= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³
A manufacturing company produces part QV2Y for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part QV2Y is the same for all three processes. The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items, Process 2 produced 12 defective units in 180 items, and Process 3 manufactured 9 defective units in 150 items. At a significance level of 0.05, we performed a chi-square test to determine whether the quality of the items produced appears to be the same for all three processes. What is the null hypothesis
Answer:
Null hypothesis :
H0 : Quality of parts produced been independent of the production process
We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05
Step-by-step explanation:
Part produced = QV2Y
Part can be produced using three ( 3 ) different production process
Production process results
process 1 : 29 defective in 240
significance level = 0.05
Null hypothesis :
H0 : Quality of parts produced been independent of the production process
We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05
critical value = 5.99147 where df = 2
help me plsssss i’m not sure how to do it
Answer:
x^16 y^8
Step-by-step explanation:
x = 8 x 2 = 16
y = 4 x 2 = 8
Answer:
x^16y^8
Step-by-step explanation:
all you gotta do is multiply the exponent on the inside and the outside
hope this helped ^^
Use the drop-down menus to select answer.
Use the fraction bars and the expression provided to answer the questions.
Answer:
loser you called me a bad word so now I'm taking points
Step-by-step explanation:
Rationalize the denominator and simplify
Answer:
x² - √3x / x² - 3
Step-by-step explanation:
To Do :-
To rationalize the denominator .Solution :-
We need to rationalize ,
x/ x + √3Multiply numerator and denominator by x-√3 :-
x( x - √3 ) / ( x +√3)( x -√3) x² - √3x / (x)² - (√3)² x² - √3x / x² - 3Engineers are designing a large elevator that will accommodate 58 people. The maximum weight the elevator can hold safely is pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean pounds and standard deviation pounds, and the weights of adult U.S. women have mean pounds and standard deviation pounds. Use the TI-84 Plus calculator.
Required:
a. If 58 people are on the elevator, and their total weight is 11,716 pounds, what is their average weight?
b. If a random sample of 58 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
Complete question is;
Engineers are designing a large elevator that will accommodate 58 people. The maximum weight the elevator can hold safely is 11,716 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 190 pounds and standard deviation 62 pounds, and the weights of adult U.S. women have mean 184 pounds and standard deviation 71 pounds. Use the TI-84 Plus calculator.
Required:
a. If 58 people are on the elevator, and their total weight is 11,716 pounds, what is their average weight?
b. If a random sample of 58 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
Answer:
A) average weight = 202 pounds
B) the probability that the maximum safe weight will be exceeded = 42.47%
Step-by-step explanation:
A) We are told that 58 people are on the elevator and that their total weight is 11,716 pounds. Thus;
Average weight = total weight/number of people = 11716/58 = 202 pounds
B) We will use z-score formula in this;
z = (x¯ - μ)/σ
Now, in part a above, we saw that the average weight is 202 pounds. Thus; x¯ = 202 pounds
We are told that standard deviation for men is;
σ = 62 pounds
We are told that the weights of adult U.S. men have mean 190 pounds . Thus; μ = 190
Thus;
z = (202 - 190)/62
z = 0.19
From z-distribution table, p-value = 0.57535
Thus;
P(z > 0.19) = 1 - 0.57535 = 0.42465
Thus, the probability that the maximum safe weight will be exceeded = 0.42465 ≈ 42.47%
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets than student tickets
to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets
Answer:
A= 80
Step-by-step explanation:
I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.
