Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.
The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:
= 120/8
= 15 credit hours
(8) Simplify this expression: -4^2. This will be:
= -4 × -4
= 16
If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all
Answer:
gbklkijgggddfhokjvhjk
Determine the transformations that produce the graph of the functions g(x)=0.2log(x+14)+10 and h(x)=5log(x+14)−10 from the parent function f(x)=logx. Then compare the similarities and differences between the two functions, including the domain and range.
Let's focus on g(x) for now.
0.2 = 1/5
f(x) = log(x) is the parent function
0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5
0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left
0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up
g(x) = 0.2*log(x+14)+10
The transformations to go from f(x) to g(x) are:
vertical compression by factor of 5shift 14 units to the leftshift 10 units upThe domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)
======================================================
Now onto h(x)
f(x) = log(x)
5f(x) = 5log(x) .... vertical stretch by factor of 5
5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier
5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down
h(x) = 5log(x+14)-10
The transformations to go from f(x) to h(x) are:
vertical stretch by factor of 5shift 14 units to the left (same as g(x))shift 10 units down (instead of up compared to g(x))This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.
The range of f(x), g(x) and h(x) is the set of all real numbers.
1) 3/7 & -6/7 pls I need answers
Answer:
0.42 & -0.85
Step-by-step explanation:
What is the formula for calculating slope? Explain it in full.
Answer:
Use slope formula
Step-by-step explanation:
To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.
help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5
-2/3, -1/4, 1/3, 2/5
Things to keep in mind
Negatives are always the smallest.
Find a common denominator after sorting negatives and positives.
6 2/3 * -4 1/5 i really need help
Answer:
-28
Step-by-step explanation:
6 2/3*-4 1/5=
20/3*-21/5=
4/3*-21/1=
4/1*-7/1=
-28
which is bigger. 34 1/2 or 34.5
Answer: They are equal.
Step-by-step explanation:
34 1/2 equals 34.5 in decimal form
34.5 equals 34 1/2 in fractional form
(.5 equals 1/2)
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
A kayak is originally priced at $100. The online retailer gives a discount and the kayak is now priced at $75. Enter the percentage discount for the cost of the kayak.
Answer:
25%
Step-by-step explanation:
Discount:
$100 * .25 = $25
New Price:
$100 - $25 = $75
Anybody Need help!? I'm on here for 1 more hour! :)
Answer:
i need help on this
What are some other things that have been engineered to help people deal with the effects of gravity?
Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.
Like- I've been stuck for an hour
which line is perpendicular to a line that has a slope of 1/2
Answer:
It’s line AB
Step-by-step explanation:
The equation for like AB is y=1/2x+0 and is perpendicular to HJ
The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?
Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
learn more about percent here
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A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches
Answer:
d = 10 inches
Step-by-step explanation:
It is given that,
The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches
We need to find the length of its longest diagonal.
In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :
[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]
So, the length of its diagonal is 10 inches.
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answer:
Step-by-step explanation:
An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?
Answer:
two trillion nine hundred forty-six billion five hundred million
The company produced 2946.5 billion milliliters.
What is multiplication?Multiplication is a mathematical arithmetic operation.
The process of adding the same number many times is repeated addition.
Multiplication is a repeated addition.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Last year,
a company that makes apple juice produced 8.3 billion bottles of apple juice.
And 355 milliliters of juice occupied by each bottle.
then the company produced,
= 355 x 8.3 billion milliliters,
= 2946.5 billion milliliters.
Therefore, 2946.5 billion milliliters.
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Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?
Answer: She got 30 questions right and 6 questions wrong.
Step-by-step explanation:
Let x = Number of correct questions, y = Number of wrong questions
As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.
Total score = 3x-1y
If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.
Now, x+y = 36 (1)
and 3x-y =84 (2) (as she scored 84)
Adding (1) and (2), we get
4x = 120
Divide both sides by 4, we get
x= 30
y = 36-30=6
hence, she got 30 questions right and 6 questions wrong.
Maritza found a bike at the mall for $85.00. The sales
tax is 6%. After taxes, how much will she have to pay for
the bike?
PLEASE HELP NEED IN 15 MINUTES! 20 POINTS!
42^2 + 69^2 = x^2
Pythagorean Theorem Formula is a^2 + b^2 = c^2.
Answer:
ok I did it two ways and got different answers
Step-by-step explanation:
addition
42^2 +69^2= x^2
1,764 +4,761=x^2
1,764 + 4,761= 6,525
Square root of 6,525 is 80.77 or 15/29
subtracting
4,761 -1,764= 2,997
Square root of 2,997 is 54.74 or 9/37
hope one of these are right, good luck
How many 9-inch ribbons can be cut from 112yards of ribbon? show work
Answer:
448 ribbons
Step-by-step explanation:
in order to find this, you need to convert the yards into inches. there are 36 inches is a yard (a yard is 3 feet and one foot is 12 inches ) so you would multiply 112 and 36 to find the total number of inches it woulde be. 112x36=4,032. Now that you know the total number of inches, divide it by 9 to find the total number of ribbions you can make.
4,032/9= 448
so you could make a total of 448 ribbons
Answer:
12.4
Step-by-step explanation:
Do 112 divided by 9
Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?
Answer:
8.1 x 8.95 = 72.495
Step-by-step explanation:
Feet x $f = $$$
the solution of equation x × 3=0 is
Answer:
x=0
Step-by-step explanation:
Regroup terms:
3x=0
Divide both sides by 3:
3x divided by 3 = x
0 divided by 3 = 0
x=0
The person who answers these three questions will get the brianlist
Answer: The answer for 1. is B For 2 its c and for 3 its D
also I LOVE MY HERO ACEDAMEIA
Step-by-step explanation:
Duncan had 3.8 gallons of paint and used 1.89 gallons for a poster. How much paint did Duncan have left after painting the posture.
Answer:
1.91
Step-by-step explanation:
Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91
4y+2x+30 if x=2and y=5
Answer:
54
Step-by-step explanation:
First let's replace the values x and y.
4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30
Then we do order of operations.
(4 * 5) is 20..
20 + (2 * 2) + 30
Then we do (2 * 2) which is just four.
20 + 4 + 30
Lastly we add it all up.
24 + 30 = 54
I hope this helps, I hope it's not wrong, but I don't think it is.
plz help i dont know the answer
Answer:
Im not 100 percent sure but I think you have to do this
Step-by-step explanation:
Add all numbers together to find total students
Then add the students in Chemistry and Physics and both together
Then find what that number is in percent to the total students
A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second. The elevator for the miners descends 13 feet per second. One day the equipment elevator begins to descend. After 18 seconds the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that time, which elevator is deeper?
Answer:
The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.
Step-by-step explanation:
The rate that both elevators descend are the same according to the information given in the question.
After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.
After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.
So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.
I hope this answer helps.
Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".
What is the equivalent function for a picture xcm by xcm?
A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x
Answer:
A f3(x)=f2(f1(x))=1.2x+2
Step-by-step explanation:
The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x
Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.
So F2(x') = x" = x' + 2 = F1(x) + 2
F2(F1(x)) = x' + 2 = 1.2x + 2
F3(x) = F2(F1(x)) = 1.2x + 2
F3(x) = 1.2x + 2.
So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) = 1.2x + 2.
PLEASE PLEASE HELP AND FAST
Morrie completed the work to solve this problem. Is his work correct?
Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) = Negative StartFraction 5 over 6 EndFraction minus three-fourths = Negative StartFraction 8 over 10 EndFraction = Negative four-fifths
What were Morrie’s errors? Check all that apply.
He should have made all the signs positive.
He should have changed Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) to Negative StartFraction 5 over 6 EndFraction + three-fourths
He should have found the common denominator, 12.
He should have subtracted StartFraction 5 over 6 EndFraction and Three-fourths
The answer should be Negative StartFraction 1 over 12 EndFraction
Answer:
The correct answers are B, C, and E.
Step-by-step explanation:
Answer:
b c e
Step-by-step explanation:
using the pleading the square method find the vertex of the function f(x)=5x^2+10x+8
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