Answer:
2.8 Miles
Step-by-step explanation:
If 7m is 60mins
How many miles is 24 mins
solution:
take unknown miles to be 'x'
7m=60mins
Xm=24mins
cross multiply
7×24/60=2.8m
x=2.8miles
fx=x^2-2x+8
I need some help with this math problem if you can give me the process
Answer:
x³/3 - x² + C
Step-by-step explanation:
∫ x² - 2x + 8 dx
= x³/3 - x² + C
when finding the derivative, you need to take the power plus 1 then divide by the power x^(2+1)/(2+1) = x³/3
the same goes for 2x and the 2/2 is 1 so you would get x²
since you are finding the derivative for x and 8 is a constant it equals zero.
when integrating you always need to add C at the end and C stands for a constant. The only time you do not add C is when the integral goes from one constant to the next.
Example: [tex]\int\limits^1_0 {x^2 - 3x +9} \, dx[/tex] like this...
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
A park has a rectangular shape. One side of the park is 175 23 meters long and the
other is 67.5 wide. Find the area of the park. (Round to the nearest hundredth if
necessary)
Answer:
Step-by-step explanation:
The area of a rectangle is length x width.
Given:
length = 175.23m
width = 67.5m
Area = 175.23m x 67.5m = 11828.025[tex]m^{2}[/tex]
A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesosJanice wins the lottery and takes a lump sum payment. She receives $14,298,120. She places
$10,000,000 into a money market account receiving 10% annual interest compounded monthly,
how much will be in the account after 1 year?
Answer:
The total compound interest is $1,047,130.76.
Step-by-step explanation:
The amount of the money received after 1 year is $31384283.7672.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year
Here, A=10,000,000(1+10/100)¹²
= 10,000,000(1.1)¹²
= $31384283.7672
Therefore, the amount of the money received after 1 year is $31384283.7672.
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Triangle ABC was dilated and translated to form similar triangle A'B'C'.
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).
What is the scale factor of the dilation?
One-fifth
Two-fifths
Five-halves
5
Answer:
C
Step-by-step explanation:
Given mſn, find the value of x.
(6x-7)º
m
(4x-10°
Answer:
x = 3
Step-by-step explanation:
These angles are actually equal to each other
This is because when two lines intersect, the two opposite angles are the same.
Since they are the same, you can set them equal to each other
Like so:
6x - 7 = 4x - 1
Then solve:
6x - 7 = 4x - 1
6x = 4x +6
2x = 6
x = 3
“The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q Compute Marginal cost and average cost “
The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q. Compute Marginal cost and average cost
Step-by-step explanation:
Please Help i Need this asap and i dont know
Answer: Its 1,110
Step-by-step explanation:
Please help (also please write the formula on how to get the answer)
ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of this rectangle.
Answer:
Step-by-step explanation:
Ratio of length : width = 4 : 7
Length = 4x
Width = 7x
Longer side = 31.5 in
⇒ 7x = 31.5
Divide both sides by 7
x = 31.5/7
x = 4.5
length = 4x
= 4*4.5
l = 18 in
width = 31.5
w = 31.5 in
[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]
= 2*18 + 2*31.5
= 36 + 63
= 99 in
[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]
= 18*31.5
= 567 in²
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850. The stock in Company A has increased 20% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
Step-by-step explanation:
Final Answer: 19.5%
The total percentage 19.5% increase in the investor's stock account
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850.
The total worth is $5900 + $1850 = $7750
The stock in Company A has increased 20% since last year.
So,
20% of 5900,
= 20 x 5900 /100
= $1180
And the stock in Company B has increased 18%.
So,
18% of 1850,
= 18 x 1850/100
= $333
The total increased amount,
= $333 + $1180
= $1513
The increased percentage,
1513 = n x 7750/100
n = 1513 x 100/7750
n = 19.522
n = 19.5% to the nearest tenth.
Therefore, 19.5% is the required percentage.
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Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
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Help help ASAP math math
Answer:
-9
Step-by-step explanation:
225 ÷ -25 = -9
Three times a number x is more than 18.
Answer:
3x>18
Step-by-step explanation:
Three times the number x will be called 3x. If an expression is more or greater than a number, we use the greater symbol: >
So, we can write,
3x>18
Yesterday, Salma had 387 baseball cards. Today, she gave 141 away. How many cards does Salma have left?
Answer:
387-141=246
Step-by-step explanation:
387
- 141
-------------
246
The product of two positive rational numbers is greater than either factor.
Provide at least two examples to show that this statement is only sometimes true
Answer: 1/2 x 1 = 1/2
1/3 x 3 = 1
Step-by-step explanation: 100% Sure! :D
Giselle played with some friends on Monday. She played with 2 times as many friends on Wednesday.This was 4 more than on Friday.On Friday,she played with 4 friends.How many did she play with on Monday?
You can download the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
29. An acting improvisation class divides into 6 teams that each have at
most 4 students.
a. Write and solve an inequality to represent the number of students
in the class.
b. Each team has at least two students. Could there be 20 students in
the class? Explain why or why not.
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of students in the class, hence:
x ≤ 6(4)
x ≤ 24
If each team has at least 2 students:
x ≥ 6(2)
x ≥ 12 and x ≤ 24
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
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The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.rosa makes a small flower garden outside the clubhouse the area of the garden is 852 square meters if the length of the garden is 6 meters what is the width of the garden
Answer:
142 meters.
Step-by-step explanation:
Area can be found by multiplying length*width. This means that if you have an area, but no width, you can divide the area by the length, or vice versa. To get the answer, you divide 852/6 to get 142.
What value in place of the question mark makes the polynomial below a perfect square trinomial?
x^2 + 24x + ?
A. 24
B. 48
C. 144
D. 12
Answer:
144
Step-by-step explanation:
[tex]x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2[/tex]
3.99 million - 47,000,000
Answer: -43010000.
Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.
Have a great day! :)
Find the slope and y-intercept for the graph of the equation
6x - 4y = -36
Answer:
[tex]y = \dfrac{3}{2} x + 9[/tex]
Step-by-step explanation:
We would like to write the given equation in slope intercept form of the line .
[tex]\longrightarrow 6x - 4y = -36 [/tex]
The slope intercept form of the line is [tex] y = mx + c [/tex] , where
[tex] m[/tex] is the slope [tex] (x,y)[/tex] is a point on the line .[tex] c [/tex] is the y intercept .we can rewrite the given equation as ,
[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]
[tex]\longrightarrow -4y = -36 -6x \\ [/tex]
[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]
[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]
[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]
[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]
[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]
This is the required equation of line in slope intercept form , with ;
[tex]m = \dfrac{ 3}{2} [/tex][tex]c = 9[/tex]Answer:
Refer to the attachment
Kyle lives in a state that has a 6% (or 0.06) sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables?
Group of answer choices
t = 6c
t = 0.6c
t = 0.06c
t = c + 0.06
Answer:
The answer is the 3rd option
t = 0.06c
Answer:
t = 0.06c
Step-by-step explanation:
Help picture below please
Answer:
tkm
Step-by-step explanation:
First T the middle k and at last m
Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she receive?
19.99 + 15= 34.99
40-34.99 = 12.51
Jenny received $5.01 change.
Solve: |2x+3|=2 CAN SOMEONE PLEASE EXPLAIN THIS TO ME!!!
Answer:
-1/2 or -5/2
Step-by-step explanation:
| | means the absolute value (distance from 0), so there is going to be a positive case and a negative case (distance from the negatives and distance from the positives).
POSITIVE CASE
[tex]2x+3=2\\2x=-1\\x=-\frac{1}{2}[/tex]
NEGATIVE CASE
[tex]-(2x+3)=2\\-2x-3=2\\-2x=5\\x=-\frac{5}{2}[/tex]
So, your answer would be -1/2 or -5/2.
Step-by-step explanation:
after 4x^2+12x+5
do sum and product but I solved it directly through calculator
hope it helps
According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answer the following questions.
a. Suppose a random sample of 150 couples is asked, "Did you meet online>" Describe the sampling distribution of p, the proportion of couples that met online.
b. What is the probability that in a random sample of 150 couples more than 25% met online?
c. What is the probability that in a random sample of 150 couples between 15% and 20% met online?
Using the normal distribution and the central limit theorem, we have that:
a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
22% of couples meet online, hence p = 0.22.A sample of 150 couples is taken, hence n = 150.Item a:
The mean and the standard error are given by:
[tex]\mu = p = 0.22[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338[/tex]
The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
Item b:
The probability is one subtracted by the p-value of Z when X = 0.25, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.25 - 0.22}{0.0338}[/tex]
Z = 0.89
Z = 0.89 has a p-value of 0.8133.
1 - 0.8133 = 0.1867.
There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
Item c:
The probability is the p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15, hence:
X = 0.2:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.2 - 0.22}{0.0338}[/tex]
Z = -0.59
Z = -0.59 has a p-value of 0.2776.
X = 0.15:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.15 - 0.22}{0.0338}[/tex]
Z = -2.07
Z = -2.07 has a p-value of 0.0192.
0.2776 - 0.0192 = 0.2584.
There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
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Karen, Lamar, and John sent a total of 160 text messages over their cell phones during the weekend. John sent 4 times as many messages as Lamar. Lamar sent 10 fewer messages than Karen. How many messages did they each send?
Answer:
Karen= 35 messages
Lamar= 25 messages
John= 100 messages
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.
[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]
K +L +J= 160 -----(1)
J= 4L -----(2)
L= K -10 -----(3)
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]
Substitute (3) into (2):
J= 4(K -10)
J= 4K -40 -----(4)
Substitute (3) and (4) into (1):
K +(K -10) +(4K -40)= 160
Simplify:
6K -50= 160
6K= 160 +50
6K= 210
Divide both sides by 6:
K= 210 ÷6
K= 35
Substitute K= 35 into (3):
L= 35 -10
L= 25
Substitute L= 25 into (2):
J= 4(25)
J= 100
[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]
Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.