9514 1404 393
Answer:
165 miles
Step-by-step explanation:
miles = miles/gallon × gallons
(55 mi/gal) × (3 gal) = 165 mil
The car will travel 165 miles on 3 gallons.
the histogram to the right displays the height of 122 trees and Mr. Maciag's subdivision. He is very excited about autumn and the leaves changing colors. Height ranged between 108 cm and 345 cm. Let the function "f" map a tree height to the frequency of the column that tree belongs to. What is the value of f(250)? Explain the steps you followed to find the value.
Answer: 50
Step-by-step explanation:
f(250) = ?
Is asking, "What is the frequency (number of trees) that have a height of 250"
Look at the graph to see that when x = 250 (height), y = 50 (trees).
Therefore, f(250) = 50
Student Council is selling Shark Shirts. Each shirt costs $8 and it costs $4 to put a shark on the front and it costs $3 to put your name on the back. If Student Council sells the shirts for $18, how much profit will they make per shirt?
Answer:
$33
Step-by-step explanation:
because iring gigapos
What is the volume of a block 6 cm on all sides?
Answer:
3
Step-by-step explanation:
its right
Answer:
The volume is 226 cm
Step-by-step explanation:
To calculate volume, you must do "length X width X height"
help me out with this question
Answer:
c
Step-by-step explanation:
combine like terms
3x^3-8x^3=-5x^3
+2x^2
-5x+3x=-2x
-5x^3+2x^2-2x
I’m taking my dog to get groomed in the morning
5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
Answer:
Rebecca is 18
Step-by-step explanation:
18/6-3=0
Determine the equation that best represents the line shown on the graph.
Answer:
B
Step-by-step explanation:
Its right
What is the remainder when you divide
(2x^3– 5x – 7) by (x + 2) ?
Answer:
this is the remainder.
Juan is saving money for a new car. He has already saved $200 and plans to save $25 per week. This situation can be represented by the function f(x) = 200 + 25x, where x is the number of weeks. How much money has Juan saved after 8 weeks?
Answer:
400
Step-by-step explanation:
200 + 25(8)
200 + 200 = 400
Answer:
400
Step-by-step explanation:
25x8+200=200+200=400
HELP HELP HELP What is the slope of the line that passes through the points (-3,-2) and (1,3)
Answer:
5/4
Step-by-step explanation:
Use rise over run, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 + 2) / (1 + 3)
= 5/4
So, the slope is 5/4
Amber invest $1,000 for 10 years compounded daily. Jin invests $1,000 for 10 years compounded continuously. If both investments are made at 8% interest rates, determine each of the following. Amber has a total of $ after 10 years. Jin has a total of $ after 10 years. So earns $ more interest.
Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.
Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
For Amber:The formula to find the amount compounded daily after 10 years is:
A = P(1 + r/n)nt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Daily = 365 days
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.08/365)^(365x10)
A = 1,000.00(1 + 0.000219178)^(3650)
A = $2,225.35
The interest for Amber is:
P (principal) = $1,000.00
A( Amount) = $2,225.35
I (interest) = P - A
= $$2,225.35 - $1,000.00
= $1,225.35
For JinThe formula to find the amount compounded continuously after 10 years is:
A = Pe^rt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Continuously
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = Pe^rt
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The interest for Jin is:
P (principal) = $1,000.00
A( Amount) = $2,225.54
I (interest) = P - A
= $$2,225.54 - $1,000.00
= $1,225.54
Comparing the interest for both Amber and Jin, we find the difference to know who earns more.
Jin's interest - Amber's interest
= $1,225.54 - $1,225.35
= $0.19
Jin earns more interest.
Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
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9. (04.03 LC)
Given a polynomial f(x), if (x - 2) is a factor, what else must be true?
f(0) = -2
f(-2) = 0
f(2) = 0
f(0) = 2
show work pls
Answer:
f(2)=0. The third option is correct.
Step-by-step explanation:
Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:
f(x)=(x-2)\cdot g(x)
Being g(x) another unknown function.
Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect
Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect
Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct
Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
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write a verbal sentence to represent 3n-35=79
Answer: three n minus thirty-five equals seventy-nine
Step-by-step explanation:
Solve and Simplify -3-7/8
Answer:-1.25
Step-by-step explanation: First you add -3 and -7 it is -10/8 then you devide -10/8 and it is -1.25
QUESTION 7
If license plates in Idaho have 4 numbers followed by 2 letters, how many different plates can be made?
a. 6,760,000
O b. 676
O c. 260
O d. 17,576,000
The number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters is 6,760,000, option a is correct.
To determine the number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters, we need to consider the possibilities for each element.
For the numbers, we have 10 options (0-9) for each of the four positions, resulting in a total of [tex]10^4 = 10,000[/tex] combinations.
For the letters, we have 26 options (A-Z) for each of the two positions, resulting in a total of [tex]26^2 = 676[/tex] combinations.
To find the total number of different plates, we multiply the number of possibilities for each element:
[tex]10,000 \times 676 = 6,760,000[/tex].
Hence, option a is correct.
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The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.488 , find c
Answer:
52.4 min
Step-by-step explanation:
100% of the times are between 49.2 min and 55.5 min.
48.8% of the times are between x and 55.5 min.
Write a proportion:
(55.5 − 49.2) / 1 = (55.5 − x) / 0.488
0.488 (55.5 − 49.2) = 55.5 − x
3.0744 = 55.5 − x
x = 52.4256
Rounded to the tenths place, the time is 52.4 min.
If Jason makes $12 an hour on his new job, how many hours must he work to make the money to afford to buy some shoes that cost $160 at
the local store?
Answer:
14 hours
Step-by-step explanation:
Jason get 12 dollars and hour so if you do 12×14 you get 168. the awnser wouldn't be 13 because 12×13 equals 157 which isn't enough.
hope this helps
What is the image point of (4,-7) after a translation of right 4 units and up 5 points
Answer:
(8,2)
Step-by-step explanation:
madeleine can tyep 3 pages in 1 hour how many hours whill it take her to tyep a 123-page report
Answer:
41 Hours
Step-by-step explanation:
Step 1 - 123 ÷ 3 = 41
Step 2 - 41 • 1 = 41 Hours
Answer:
41
Step-by-step explanation:
3 = 1
123 =
Cross multiple
123×1 /3
= 41
Is the answer True or false
Answer:
true
Step-by-step explanation:
true
if a sample of 35 golfers is taken from a population of 72 golfers the sample mean, x, is the mean of how many golfers scores
Answer: 35
Step-by-step explanation:
The sample mean, denoted by (pronounced "x bar"), represents the average value of a given variable in a sample. In this case, we are trying to find the sample mean of golfers' scores.
To calculate the sample mean, we need to sum up all the individual scores in the sample and divide by the number of golfers in the sample. Given that we have a sample of 35 golfers from a population of 72 golfers, we can conclude that the sample mean, , represents the mean of the scores of these 35 golfers.
Mathematically, the formula for calculating the sample mean is: = (x1 + x2 + x3 + ... + xn) / n where x1, x2, x3, ..., xn represent the individual scores, and n represents the sample size. Therefore, the sample mean, , is the average of the scores of the 35 golfers in the sample. To find the exact value, you would need to know the actual scores of each golfer.
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A relative-frequency distribution is to a variable as a __________ distribution is to a random variable.
Answer:
Probability distributionStep-by-step explanation:
The answer is probability distribution
What is probability distribution?
Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.
Basically the function assigns probabilities to some sets of values.
Also There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
A relative-frequency distribution is to a variable as a Probability distribution is to a random variable.
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.
The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.
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A TV is 20% off the original price amount is $180. What is the original amount?
Answer: $200
Step-by-step explanation: $200=100% so then $200-20%=$180=80%
Answer:
9005
Step-by-step explanation:
180$ divided by 20% is 900$
Simplify 5 - 2 · 3 + 4.
A. 13
B. 3
C. -5
D. 21
Answer:
B
Step-by-step explanation:
5 - 2 * 3 + 4
Multiply first
5 - 6 + 4
subtract and add from left to right
5 - 6 + 4 = -1 + 4
-1 + 4 = 3
You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90 per pound.
Step-by-step explanation:
4.50:5
5/5=1
4.50/5=0.90
Francesca plans to compete in a biathlon that involves running and cycling. During one training session, she covered a total distance of 46 miles in four hours. If she ran at a rate of 5 mph and cycled at a rate of 15 mph, how long did she spend cycling?
Answer:
.
Step-by-step explanation:
Use the distance formula
d = vt
where:
d = distance (miles)
v = speed (mph)
t = time (hours)
Let x = run time
Let y = bike time
Total time: x + y = 4
Using these variables we can write an equation representing the formula.
dTotal = drun + dbike
49 = 9x + 22y
Next, we get the equation in terms of only x or y. We'll get it in terms of x.
49 = 9x +22(4 - x)
49 = 9x + 88 - 22x
-39 = -13x
3 = x
Plug in this value of x into the variables to find the distance for each part.
run distance = 9x
bike distance = 22(4 - x)
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Answer:
49
Step-by-step explanation:
Which of the following coordinates would be the reflection of the point (7, -2) over the x-axis.
a)( -7,-2) b) (7,2 ) c) (-7,2) d) ( 2,7)
Answer:
The correct answer is B) (7,2).
Step-by-step explanation:
I hope this helps!
6 of 7
Which is the equation of a line parallel to the line with equation y = 3x - 4?
A
y = (1/3)X + 4
B
y = (1/3)x - 4
С
A) y = -3x + 2
A) y = 3x + 2
SUBMIT ANSWER
Socrative
