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Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months. What should he change in the function to reach this goal? A) Change the amount he adds each month to $50. B) Change the amount he adds each month to $40. C) Change the y-intercept of the linear function to $20. D) Change the y-intercept of the linear function to $50.
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200/4 = 50
so A) Change the amount he adds each month to $50.
Answer:
Its A i did USAtestprep
Step-by-step explanation:
A
translated 2 units left and 9 units down
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The translation of the given expression is "[tex]\bold{y=(x+2)^2-9}[/tex]"
Translation of equation:Given:
"translated 2 units left and 9 units down".
we assume the equation is "y" so, the translation of the above-given expression is equal to "[tex]\bold{y=(x+2)^2-9}[/tex]".
Please find the attached diagram for the translated expression.
Find out more information about the translation here:
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There are 1,505 fruits for sale at at farmer’s market. 39% of them are apples, 28% are oranges, 13% are honeydrew melons, and the rest are watermelons. How many watermelons are there ?
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so 20% are watermelons.
20% of 1505...
0.20(1505) = 301
so 301 are watermelons
Answer:
13
Step-by-step explanation:
Imagine a world in which only decimal,not fractions,are used.how would your life be different
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I am thinking of some uses of fractions where decimals are not typically used. One might be cooking. Often the ingredients (1/2 cup of four and so on) are measured using fractions. If you were in a world with decimals you might need to make (1/3) the servings of a recipe that calls for 1/4 of a cup of some ingredient and instead of 1/12 have to deal with a long repeating decimal that probably would need to be approximated so would not be precise.
While on the subject of food ordering pizza (1/2 with pepperoni, 1/4 mushrooms and 1/4 plain) would be doable after you got used to it but probably not as comfortable. Dividing up slices of pizza among friends (one slice is usually 1/8 of a pie) might be awkward though eventually doable.
Estimation - the biggest issue is exactitude versus estimation. When we use a fraction like 1/3 that is an exact value, but when we use .333 or .3333333 no matter how many 3s we use we are only estimating because the 3s go on forever and we can't write them forever. Yes, we can use .3 (with a bar over the 3, but now try to multiply that with .456565656 with a bar over the 56. This becomes practically impossible unless we estimate ... so the biggest issue would be that you would lose precision in many calculations and measurements and have to deal with answers that are good enough (but not exact).
Now say you work on some major car company or you design bridges or you are a scientist developing medicine that cures diseases, would not you want the ability to measure and compute precisely? If I split the pizza up wrong it is not a big deal. If I use a little more flour or a little less than I should in the recipe it might not make much of a difference in the end but if I am doing something that impacts the health, safety or well being of another human being, I would not want to live in a world where I have to estimate and can't count on having the exact, precise value.
how do you graph y=2sin(2x)
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2sin0=0, 2sin(π/2)=2, 2sinπ=0, 2sin(3π/2)=-2, 2sin(2π)=0
so the y values are 0, 2, 0, -2, 0 respectively
locate the points and connect
extend the pattern left and right if there is no limit for x. It should look like a wave
Koji is installing a rectangular window in an office building. The window is 8/23 feet wide and 5/34 feet high. The formula for the area of a rectangle is A=bh. What is the area of the window? Enter your answer as a mixed number in simplest form in the box. $$ ft2
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We have: b = 823 Ft
h = 534 Ft
Substitute their values,
A = 823 * 534
A = 439482 Ft²
In short, Your Answer would be: 439482 Ft²
I really hope this helps!
Which term is the perfect square of 3x4 ?
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Hope it helps m8!
Answer:
just took the test answer is D
Step-by-step explanation:
Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. what is the expected value of m, the mean of the distribution of sample means?
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80
Explanation:
The mean of the distribution of sample means always target the population mean. What this line tells is that whatever the population mean will be, the mean of the distribution of sample means will be same. Since the population mean is 80, the mean of distribution of sample means will also be 80.
However, the standard deviation of the sample distributions is different and is equal to the population standard deviation divided by square root of sample size. So in this case the standard deviation of distribution of sample means will be 6 .
Can someone help please? solve by system on inequalities solve each system by graphing
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The doubly-shaded area to the right of both lines is the solution space. The line at the upper boundary of that space is also part of the solution. The line at the lower boundary is not. The marked point where the lines intersect is not part of the solution space.
A town has two fire engines, a and b, that operate independently. the probability that engine a is available when needed is 0.96. the probability that engine b is available when needed is also 0.96. 12. what is the probability that neither fire engine is available when needed?
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In a local survey, 100 citizens indicated their opinions on a revision to a local land use plan. of the 62 favorable responses, there were 40 males. of the 38 unfavorable responses, there were 15 males. if one citizen is randomly selected find the probability a male and has a favorable opinion
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Denote the events like this:
F: Getting a favorable response .
First compute the number of participants: 62+38= 100.
The number of Male with favorable opinion: 40.
We deduce the probability:
[tex]P(F\vert M)=\dfrac{40}{100}=\dfrac{2}{5}[/tex]
The probability that a male and has a favorable opinion is selected is 2/5
Further explanationThe probability of an event is defined as the possibility of an event occurring against sample space.
[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]
Permutation ( Arrangement )Permutation is the number of ways to arrange objects.
[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]
Combination ( Selection )Combination is the number of ways to select objects.
[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]
Let us tackle the problem.
This problem is about Probability.
Given:
Of the 62 favorable responses, there were 40 males and 22 females.
Of the 38 unfavorable responses, there were 15 males and 23 females.
There were total (40+15) males = 55 males
Let P(M) = probability a male is selected
[tex]P(M) = \frac{\texttt{Number of Male Citizens}}{\texttt{Total Number of Citizens}}[/tex]
[tex]P(M) = \boxed{\frac{55}{100}}[/tex]
There were 62 favorable responses
Let P(F) = probability citizens has a favorable opinion is selected
[tex]P(F) = \frac{\texttt{Number of Favorable Opinion Citizens}}{\texttt{Total Number of Citizens}}[/tex]
[tex]P(F) = \boxed{\frac{62}{100}}[/tex]
Let P(M ∪ F) = probability a male or citizens has a favorable opinion is selected
[tex]P(M \cup F) = \frac{\texttt{Number of Favorable Opinion Citizens or Male Citizens}}{\texttt{Total Number of Citizens}}[/tex]
[tex]P(M \cup F) = \frac{40 + 15 + 22}{100}[/tex]
[tex]P(M \cup F) = \boxed{\frac{77}{100}}[/tex]
At last , the probability a male and has a favorable opinion could be calculated as follows:
[tex]P(M \cap F) = P(M) + P(F) - P(M \cup F)[/tex]
[tex]P(M \cap F) = \frac{55}{100} + \frac{62}{100} - \frac{77}{100}[/tex]
[tex]P(M \cap F) = \frac{40}{100}[/tex]
[tex]P(M \cap F) = \large{\boxed {\frac{2}{5}} }[/tex]
Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581Answer detailsGrade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation
A prism is comply filled with 3996 cubes that have edge lengths of 1/3 inches. What is the volume of the prism
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V = L ^ 3
Where:
L: side.
We have then that the volume of a cube is:
V = (1/3) ^ 3
V = 1/27
Then, the prism volume is:
Vtotal = 3996 * V
Vtotal = 3996 * (1/27)
Vtotal 148 inches ^ 3
Answer:
the volume of the prism is:
Vtotal 148 inches ^ 3
Carlisle is testing different types of planting soil to determine which type is most effective in growing blueberry bushes. He purchases 2 different brands of planting soil from a local store. Carlisle applies Brand A to an area of the yard that receives full sunlight and Brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Carlisle concludes Brand A is more effective in growing blueberry bushes. Why is his conclusion not valid?
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Carlisle applied brand A to the part of the yard that received full sunlight while brand B was applied to the area of the yard which received partial sunlight. This implies that the soils were subjected to different conditions and this ought not to be so, since sunlight is a very important factor, which the soils need.
Which is greater 320 fl oz of 18 pt
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320/16 = 20 pints
320 fl oz is greater than 18 pt
Help with this math question please
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[tex]x- \frac{70}{x}\ \textless \ -3 \\ \\ x- \frac{70}{x}+3\ \textless \ 0 \\ \\ \frac{ x^{2} -70+3x}{x}\ \textless \ 0 \\ \\ \frac{(x-7)(x+10)}{x}\ \textless \ 0 [/tex]
This means, we need to test the inequality for x = -10, x = 0 and x = 7
Since question assumes that x > 0, so we ignore the values less than 0.
So the test points are x = 0 and x = 7
At x = 0 the expression is undefined.
Between x = 0 and x = 7 the value of expression [tex] \frac{(x-7)(x+10)}{x}[/tex] is negative. At x = 7 the value of expression is 0. Above x = 7 the value of expression is positive.
So, the solution to the given inequality will be 0 < x < 7.
In Interval notation, the solution can be written as (0,7)
Admission to the state fair costs $5 and each ride costs $0.75. If Ahmed wants to spend no more than $14 at the fair, how many rides can he ride?
-Show All Work Please-
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9 divided by .75 = 12
He can ride 12 rides.
Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise with 10 dark power crystals. How many zombie soldiers can Liliana raise with 10 power crystals?
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1c = 3.5z.
10c = 35z.
So she can raise 35 with 10 power crystals. Hope it helps !:)
Answer:- Liliana can raise 35 zombie soldiers with 10 power crystals.
Explanation:-
Let the number of zombie soldiers raised by 10 dark power crystals be 'x'.
Zombie raised by 4 power crystals = 14
Since the number of zombie and power crystals are in direct proportion.
Therefore, we get
[tex]\frac{x}{10}=\frac{14}{4}[/tex]
Multiply 10 on both the sides, we get
[tex]\Rightarrow\ x=\frac{14}{4}\times10=35[/tex]
Liliana can raise 35 zombie soldiers with 10 power crystals.
Which of the following is the same as 5(2 − 1)?
a 5 − 2 − 1
b 5 × 2 × 1
c 10 − 1
d 10 − 5
e one of the above
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Can someone explain? Please help! 15 pts!!!!
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x--------------> the third stone measure
we know that
the recommended height for the bench is ------> 20 in
20=[4 3/8]+[4 1/2]+[5 1/4]+[x]
4 3/8---------> (4*8+3)/8=35/8
4 1/2---------> (4*2+1)/2=9/2
5 1/4---------> (5*4+1)/4=21/4
20=[35/8]+[9/2]+[21/4]+[x]
x=20-(35/8)-(9/2)-(21/4)
x=20-(35+4*9+2*21)/8-----> 20-113/8------- > (8*20-113)/8
x=47/8---------- > 5.875=5 7/8
the
answer is 5 7/8 in
how would you graph y=| x-2|-4
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Then take the absolute value of the expression in the square bracket.
It is always positive, the absolute value of -6 is 6 etc.
Then graph the resulting points.
Another way to do it is simply draw the graph of y = |x| then move it 2 spaces to the right and 4 spaces down, I believe.
What is the beat estimate for the quotient? 591.3 device by 29
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To estimate, we can round:
591.3 is approximately 600
29 is approximately 30
Now, we divide:
600 / 30 = 20
Hope this helps!
5.1 times 10 to the fourth power
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so, 51*51*51*51=6765201
How do you solve 7.2>0.9(n+8.6)
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multiply 0.9 by all in parentheses
7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74
subtract 7.74 from both sides
-0.54> 0.9n
divide both sides by 0.9
-0.6> n
ANSWER: -0.6> n
Hope this helps! :)
After solving the given equation, the value obtained for n will be equal to n < -0.6.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the equation given in the question,
7.2 > 0.9(n + 8.6)
Solve the equation for n,
7.2 > 0.9n + 7.74
7.2 - 7.74 > 0.9n
-0.54/0.9 > n
-0.6 > n or,
n < -0.6
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What is the value of h?
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3h + 18 + 15h = 180
18h + 18 = 180
18h = 162
h = 9
So the value of h is 9
Answer:
Step-by-step explanation:
H=9 is the answer
jack has 3 quarters, 2 dimes, and one penny. how much money does jack have in all? show your work.
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your welcome
Mario buys 2 pounds of hamburger and 1 pound of sausage. Sausage costs 10 cents more per pound than hamburger. If the total cost of the meat is $5.50, what is the cost of the hamburger per pound?
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1.80+ 1.80+ 1.90=$5.50
what do i do?? i just have to find what the the question marks show.
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Given information
------------------------------------------------------
100% = $27.60
------------------------------------------------------
Rewriting it
------------------------------------------------------
[tex]\$27.60 = 100 \%[/tex]
[tex]\$1 = 100 \div 27.60 \%[/tex]
[tex]\$1 = \frac{250}{69} \%[/tex]
------------------------------------------------------
Find $4.14 in percentage
------------------------------------------------------
[tex]\$1 = \frac{250}{69} \%[/tex]
[tex]\$4.14 = \frac{250}{69} \times 4.14[/tex]
[tex]\$4.14 = 15%[/tex]
------------------------------------------------------
Answer: 15%
------------------------------------------------------
------------------------------------------------------
Find $31.74 in percentage
------------------------------------------------------
[tex]\$1 = \frac{250}{69} \%[/tex]
[tex]\$31.74 = \frac{250}{69} \times 31.74[/tex]
[tex]$31.74 = 115%[/tex]
------------------------------------------------------
Answer: 115%
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a motorboat travels 432 kilometers on 6 hours going upstream and 384 km in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current.
please help slove and steps
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Going downstream: 384 km / 4 hours = 96 km/h
Going upstream against the current means that the effective speed is:
r_boat - r_current = 72
Meanwhile, going downstream with the current means;
r_boat + r_current = 96
Adding both equations (to cancel out r_current) gives:
2r_boat = 72 + 96
r_boat = 84 km/h
Substituting back into one of the original equations: r_current = 12 km/h.
what is the product of (2p+7)(3p^2+4p-3)
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(2p+7)(3p²+4p-3)=2p*[3p²+4p-3]+7*[3p²+4p-3]
resolving by parts
part 1
2p*[3p²+4p-3]=6p³+8p²-6p
and
part2
7*[3p²+4p-3]=21p²+28p-21
adding part 1 and part 2
[6p³+8p²-6p]+[21p²+28p-21]=6p³+29p²+22p-21
the answer is (6p³+29p²+22p-21)
round 543,873 to nearest ten thousand
Answers
543,873
1) Remember that when rounding the number to the nearest tousand, the number must have the first three digits (from right to left) equal to zero.
2) The fourth digit of the number (from right to left) must be rounded to the next number only if the third digit (from right to left) is greater than or equal to 5.
3) Following steps 1) and 2) we have the number rounded to the nearest tousand is:544,000
Answer:
Round to the nearest tousand:
544,000
Final answer:
To round 543,873 to the nearest ten thousand, we assess the digit in the ten thousand's place (4) and the digit to its right (3). Since the latter is less than 5, we round down, resulting in 540,000.
Explanation:
The question asks to round the number 543,873 to the nearest ten thousand. To do this, we look at the digit in the ten thousand's place, which is 4, and then look at the digit to its right, which is 3. If the digit to the right is 5 or above, we would round up. However, since it's less than 5, we round down. Therefore, 543,873 rounded to the nearest ten thousand is 540,000.