Answers
Answer:
50n^2 -2
Step-by-step explanation:
g(x) = 2x^2 -2
g(5n) =
Replace x with 5n
g(5n) = 2 ( 5n)^2 -2
= 2 ( 25n^2) -2
= 50n^2 -2
Related Questions
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. Brain list will be given if answered right
Answers
10x = -10
x = -1
Answer:
x = 1
Step-by-step explanation:
5(2x - 8) + 15 = -15
First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.
5(2x - 8) + 15-15 = -15-15
5(2x-8) + 0 = -30
5(2x-8) = -30
Now let's expand that first term.
5(2x)-5(8) = -30
10x - 40 = -30
Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.
10x - 40 + 40 = -30 + 40
10x -0 = 10
10x = 10
Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.
10x/10 = 10/10
x = 1
The answer is x = 1.
Let's check if our answer is correct!
Original equation: 5(2x - 8) + 15 = -15
Substitute 1 for x.
5(2*1-8) + 15 =
5(2-8) + 15 =
5(-6) + 15 =
-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.
Rafael bought a bag of candy that contains 50 pieces. 30 of those pieces are chocolate and 5 are caramel. Write a ratio that compares the number of chocolate pieces to the number of pieces that are not either chocolate or caramel.
Answers
Answer:
so 50:30
=50-30=20
chocolate and 5are caramel
20:5
5can go into 20 =4
20:5
=4:1
Step-by-step explanation:
bag of candy is 50pieces 30piecesare chocolate and 5arecaramel
step 2 . you will subtract 50from30=20
step 3. 5can go into 20=4times
20:5 is equal to 4:1
While playing a video game a player collected 18 of the 45 available coins right and simplify a fraction to represent the situation
Answers
Answer:
2 / 5
Step-by-step explanation:
Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
\( R = \frac {3ST}{2S + T} \)
Step-by-step explanation:
Given the equation;
\( \frac {3}{R} - \frac {1}{S} = \frac {2}{T} \)
Rearranging the equation, we have;
\( \frac {3}{R} = \frac {2}{T} + \frac {1}{S} \)
Lowest common multiple (LCM) of S and T is ST.
\( \frac {3}{R} = \frac {2S + T}{ST} \)
Cross-multiplying, we have;
\( 3ST = R(2S + T) \)
Making R, the subject of formula;
\( R = \frac {3ST}{2S + T} \)
Area of triangles
Look at the image below.
6
What is the area of the triangle?
units²
3
Answers
Answer:
Please help me by marking me the brainliest.
The area of the triangle is 9 units^2
Step-by-step explanation:
Area of triangle = 1/2(6*3)
=1/2(18)
=9
Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z
Answers
The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are
180 degrees
540 degrees
900 degrees
How to find the angle of rotationThe transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.
The rule is (x, y) will become (-x, -y)
Where 540 degrees = 360 + 180
where 900 degrees = 360 + 360 + 180
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Find the missing angles.
with solution
Answers
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
4 more than the quotient of g and 6
Answers
Answer:
g/6 + 4
Step-by-step explanation:
yeah-ya........ right?
Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?
Α. Ms. Phee paid $3 less per month than Mr. Duval.
B. Ms. Phee paid $3 more per month than Mr. Duval.
C. Mr. Duval paid $460 per month to rent the home.
D. Ms. Phee paid $455 per month to rent the home.
Answers
Answer:
B
$2.730 divided by 6 equals 455
$5,496 divided by 12 equals 458
458-455=3 so the answer is B
A cone-shaped paperweight is 5 inches tall, and the base has a circumference of about 12.56 inches. What is the area of a vertical cross section through the center of the base of the paperweight? Use 3.14 for π .
Answers
The area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.
To find the area of a vertical cross section through the center of the base of the cone-shaped paperweight, we need to determine the radius of the base first.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we know the circumference is about 12.56 inches, so we can set up the equation:
12.56 = 2πr
To solve for r, we divide both sides of the equation by 2π:
r = 12.56 / (2π)
Now we can calculate the radius:
r ≈ 12.56 / (2 × 3.14)
r ≈ 12.56 / 6.28
r ≈ 2 inches
The radius of the base is approximately 2 inches.
Since the vertical cross section passes through the center of the base, the shape of the cross section is a circle. The formula for the area of a circle is A = \(πr^2\), where A is the area and r is the radius.
Now we can calculate the area of the cross section:
A = \(πr^2\)
A ≈ 3.14 × \((2^2)\)
A ≈ 3.14 × 4
A ≈ 12.56 square inches
Therefore, the area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.
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Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Answer the following questions using the table below.
-2
-1
0
-10
-8
-6
-4
1
Is this a linear function?
<
What is the slope?
h
What is the y-intercept?
What is the equation of the linear function?
Answers
Answer:
the - are the x or y
Step-by-step explanation:
A seat in Section A of the stadium is chosen at random. The fan sitting in that seat receives two free tickets to next week's game. Find the probability that a person in each color seat would receive the free tickets. 1. P(yellow) = 2. P(red) = 3. P(blue) = 4. P(blue or yellow) = 5. P(red or blue) = Red Blue Blue Blue Seats in Section A Red Red Blue Blue Red Red Blue Blue Red Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Answers
The probabilities are:
1. P(yellow) = 2/5
2. P(red) = 3/10
3. P(blue) = 3/10
4. P(blue or yellow) = 7/10
5. P(red or blue) = 3/5
To find the probability that a person in each color seat would receive the free tickets, we need to calculate the probabilities of each event.
1. P(yellow): There are 8 yellow seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a yellow seat at random is P(yellow) = 8/20 = 2/5.
2. P(red): There are 6 red seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a red seat at random is P(red) = 6/20 = 3/10.
3. P(blue): There are 6 blue seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a blue seat at random is P(blue) = 6/20 = 3/10.
4. P(blue or yellow): To calculate the probability of selecting a blue or yellow seat, we add the individual probabilities of selecting a blue seat and a yellow seat: P(blue or yellow) = P(blue) + P(yellow) = 3/10 + 2/5 = 7/10.
5. P(red or blue): To calculate the probability of selecting a red or blue seat, we add the individual probabilities of selecting a red seat and a blue seat: P(red or blue) = P(red) + P(blue) = 3/10 + 3/10 = 6/10 = 3/5.
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Josiah went to the local barber to get his hair cut. It cost $18 for a haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip?
Answers
Answer:
$20.7
Step-by-step explanation:
Find the area of this parallelogram.
13 cm
15cm
20cm
Answers
I am sorry but there is no parallelogram
Which is the first step in simplyfing the expression 2(x+3)+5
Answers
Answer:
Distribute
Step-by-step explanation:
The 1st step when simplifying the expression is to distribute the parenthesis. Remember BPEMDAS.
Which of the following are solutions to the equation below?
Check all that apply.
x2 - 6x + 9 = 11
Answers
Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)
Answer:
\(\large\boxed{\sf \ \ x = 3+\sqrt{11} \ \ or \ \ x = 3-\sqrt{11} \ \ }\)
Step-by-step explanation:
Hello,
\(x^2-6x+9=11\\<=> x^2-2*3*x+3^2=11\\<=>(x-3)^2=11\\<=> x-3=\sqrt{11} \ or \ x-3=-\sqrt{11}\\<=> x = 3+\sqrt{11} \ or \ x = 3-\sqrt{11}\)
Do not hesitate if you have any question
Hope this helps
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answers
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
four dice are thrown simultaneously. what will be the probability that all of them have the same face ?
Answers
Answer:
1/216
Step-by-step explanation:
A dice (assuming it is from 1-6) has 6 faces. There are 4 dices.
equation will be
6*6*6=answer
Multiply 6 three times by itself because there are 4 dices. That is because One die would be 1
Two would be 1/6
Three would be 1/36
And four would be the ...
Asnwer=216
Draw an abacus and illustrate this expression 4×8⁴+2×8²+4×8⁰ on it
Answers
According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.
How to illustrate this value on an abacus?To illustrate this value on an abacus we must find the number of this operation as shown below:
4 * 8⁴ + 2 * 8² + 4 * 8⁰4*4,096 + 2*64 + 4*116,384 + 128 + 416,516Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:
ten thousand = 10,000thousand units = 6,000hundreds = 500tens = 10units = 6Learn more about abacus in: https://brainly.com/question/13385199
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Linear Inequalities
Anderson's Entertainment Bus Company charges a $19.95 flat rate for a party bus. In addition to that,
they charge $1.75 per mile. Chenelle has no more than $300 to spend on the party bus. At most, how
many miles can Chenelle travel without exceeding her spending limit?
Answers
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
We have,
To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.
So,
Subtract the flat rate from Chenelle's budget:
Budget after subtracting the flat rate.
= $300 - $19.95
= $280.05
Divide the remaining budget by the cost per mile to find the maximum number of miles:
Maximum miles = Budget after subtracting the flat rate / Cost per mile
= $280.05 / $1.75
Using division.
Maximum miles = 160.028571
Therefore,
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
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...............................................................
Answers
Answer:
a) 53.33 miles per hour
b) 1.7 pages per minute
c)2.25 $ per avocado
Step-by-step explanation:
a) 320/6 = 53.33333
b) 68/40 = 1.7
c) 27 /12 = 2.25
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answers
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
Abby packs plastic cubes in a box. Each cube is 1 square centimeter.
What is the greatest number of cubes she can pack into a box that is 20 centimeters long, 12 centimeters wide, and
11 centimeters tall?
Answers
Answer:
2640 cubes
Step-by-step explanation:
20 cm x 12 cm x 11 cm = 2640 cm^3
Type True or False: The constant term in the following expression is 5.
7x + 5
Answers
false incorrect
False incorrect
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.
Use the drop-down menus to complete the statements below about the number of bags Lucia can make.
CLEARCHECK
The greatest number of bags Lucia can make is
. Each of these bags will have
markers and
stickers.
If she used more bags,
.
She could use
bags, but this is not the greatest number she could use.
Answers
The computation of the factors shows that the greatest number of bags that Lucia can make will be 16.
How to illustrate the factor?From the information given, Lucia has 48 markers and 64 stickers that she wants to give as favors for a party.
The computation of the factors shows that the greatest number of bags that Lucia can make will be calculated through then factors. This goes thus:
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
Factors of 64 = 1, 2, 4, 8, 16, 32, and 64.
Therefore, the highest common factor is 16.
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Answer:
16
Step-by-step explanation:
write down 3 numbers that have a range of 5 and a mode of 8
Answers
Answer:
8, 8, 13
Step-by-step explanation:
The three numbers 8, 8, 13 have a range of 5.
13 - 8 = 5
The mode is 8, the repeated number.
Answer:
need pls
Step-by-step explanation:
Two numpy arrays are defined as follows: array_1 = np.array([[1, 2, 7], [3, 4, 8]]) array_2 = np.array([[1, 2], [3, 9], [4, 16]]) What would np.dot(array_1, array_2) return? Two numpy arrays are defined as follows: ```python array_1 = np.array([[1, 2, 7], [3, 4, 8]]) array_2 = np.array([[1, 2], [3, 9], [4, 16]]) ``` What would `np.dot(array_1, array_2)` return?
Answers
The dot product of two matrices, involves Multiplying the row of one matrix by the column of the other. The result of dot product of the two Numpy arrays is ;
array([[35, 132], [47, 170]])The Numpy module is a library in python which is used for speedy numerical computation by reading data on vector - like format.
The code in python can be reproduced thus :
import numpy as np
#import the Numpy module and alias it as np
array_1 = np.array([[1, 2, 7], [3, 4, 8]])
#imput the values of the first array
array_2 = np.array([[1, 2], [3, 9], [4, 16]])
#imput the values of the second array
result = np.dot(array_1, array_2)
#attach the dot method, attach the dot product of both arrays to result.
result
#displays the result of the dot product
Therefore, the dot product of array_1 and array_2 in the question given above is array([[35, 132], [47, 170]])
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![Two numpy arrays are defined as follows: array_1 = np.array([[1, 2, 7], [3, 4, 8]]) array_2 = np.array([[1,](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/F0LIv2Fs9vdEf9pydgxyDe7DheDElNj0.jpeg)
Need help fast!!
Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT
Answers
Answer:
4 miles
Step-by-step explanation:
four times six equals 24
its the number of miles times six equals the minutes
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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