Answer:
C. x=2
Step-by-step explanation:
The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2
Answer:
C. x=2
Step-by-step explanation:
(x+4)(x-8) = x²-4x-32 = (x-2)² - 36
vertex: (2,-36)
axis of symmetry: x = 2
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
You bought a new car for $18,500. The
value of the car depreciates 4.6% annually.
How much will your car be worth in 5
years? (HINT: How many decimal places
are in money?)
Answer:
14,245
Step-by-step explanation:
First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.
In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
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Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°
Change 8.94 into a fraction
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
what is the 3rd quartile of the daily high temperature in atlanta for one month
61,61,63,64,65,66,66,67,68,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,94
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the card is greater than 7? Write your answer as a fraction in simplest form.
Answer:
1/5 chance or 20% chance.
Step-by-step explanation:
When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.
:D
Probability helps us to know the chances of an event occurring. The probability that the first card is an even number and the card is greater than 7 is 0.15.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability that the first card is an even number and the card is greater than 7 is,
Probability = (5/10)×(3/10) = 15/100 = 0.15
Hence, the probability that the first card is an even number and the card is greater than 7 is 0.15.
Learn more about Probability:
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A group of people went to a restaurant.
Each person chose one starter and one main course.
starter
main course
soup
lasagne
prawns
curry
the number of people who chose soup: the number of people who chose prawns = 2:3
Of those who chose soup,
the number of people who chose lasagne : the number of people who chose curry = 5:3
Of those who chose prawns,
the number of people who chose lasagne : the number of people who chose curry = 1:5
What fraction of the people chose curry?
Answer:
The fraction of the people who choose curry = [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
As given,
Starter Main course
Soup Lasagna
Prawns Curry
The number of people who choose soup: the number of people who choose prawns = 2 : 3
Of those who chose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
Let total number of people goes to restaurant = 5x
People who choose soup = [tex]\frac{2}{5}[/tex]×5x = 2x
People who choose prawns = [tex]\frac{3}{5}[/tex]×5x = 3x
Now, given,
Of those who choose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
So,
People who choose Lasagna after choosing soup = [tex]\frac{5}{8}[/tex]×2x = [tex]\frac{5}{4}x[/tex]
People who choose Curry after choosing soup = [tex]\frac{3}{8}[/tex]×2x = [tex]\frac{3}{4}x[/tex]
Also, given,
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
So,
People who choose Lasagna after choosing prawns = [tex]\frac{1}{6}[/tex]×3x = [tex]\frac{1}{2}x[/tex]
People who choose Curry after choosing prawns = [tex]\frac{5}{6}[/tex]×3x = [tex]\frac{5}{2}x[/tex]
So,
Total number of people who choose curry = [tex]\frac{3}{4}x[/tex] + [tex]\frac{5}{2}x[/tex] = [tex]x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x[/tex]
So ,
The fraction of the people who choose curry = [tex]\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}[/tex]
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
Find the X and Y intercept of line 2x+3y=-12
X-intercept -
Y- Intercept-
Answer:
Let us rearrange 3y=-2x-12y=-2/3x-4 So y intercept is -4 I also do exams and quizzes if your interested :)Find the missing dimension
Height.
Answer:
x = 18
Step-by-step explanation:
So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Answer:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
Need help wit this- pic below
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
Check
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
The table gives information about the lengths of time, in hours, some children
spent watching TV last week.
Length of time (7) Frequency
0
8
3
3
10
15
15
10
20
11
2
Frequency density
Draw a histogram for
the information in the table.
1
0+
0
10
30
40
20
Length of time (t)
Answer:
Step-by-step explanation:
The histogram of the distribution plotted with the frequency density on the y - axis and the interval for the length of time on the x - axis is attached below.
The first bar denotes the length of time between 0 and 10 having a frequency of 8 The second bar denoted the interval between 10 and 15 with a frequency of 15 The third bar denoted the interval between 15 and 20 with a frequency of 10The fourth bar denoted the interval between 20 and 30 with a frequency of 11Therefore, the histogram of the distribution is attached below.
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Please help I need this answer!
Answer: 16
Step-by-step explanation: Good luck! :D
Answer:
It’s 16
Good luck
I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out
problem 1. 6(x-2) = - 18
problem 2. 17 = 5k - 2
please help
If you had a million dollars what would you do with it?????
PLZ don't report...
Answer:
a huge mansion out somehwere in europe or go traveling around the world
Step-by-step explanation:
can you imagine wow
Answer:
I would give some to people who are homeless and need help paying rent and ig get a mansion.
Step-by-step explanation: Ty for free pointz. Have a great day!
A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
Andre says that x is 7 because he can move the two 1s with the x to the other side.
Do you agree with Andre?
The image necessary to answer this question is below in the attachment.
Answer: No.
Step-by-step explanation: For this hanger to be in equilibrium, both sides have to equal.
The diagram can be represented as
x + 1 + 1 = 1 + 1 + 1 + 1 + 1
x + 2 = 5
x = 3
So, for this hanger to work, x = 3.
Average of 5 numbers is 7. Four of the numbers are 3, 5, 7 and 9. Find the 5th number is
sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
Determine the greatest common factor of the given expressions.
75m^4p^6(-m + n)
65m^4 n^5(-m + n)^5
Answer:
75m^4 p^6
Step-by-step explanation:
a boat can travel 45 miles on 5 gallons of gasoline how much gasoline will it need to go 297 miles
Answer:
it will have 56 gallons
Step-by-step explanation:
Select the algebraic expression for the word expression.
24 less than h
24 - h
24 - h
h - 24
h - 24
24 ÷ h
24 ÷ h
h
Step-by-step explanation:
The Answer Is 24 - h
As, 24 Is Less Than "h"
6 quarts is how many fluid ounces
Answer:
its 192 fluid ounces
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)
I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answer:
I believe A?
Step-by-step explanation:
Triangle Sum Theorem Review The following is a review of an important theorem from first semester. Please complete problems 2-4 and submit. Problem 1 is done for you to model the theorem as a review.
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The sum of angles is 180°, so the value of x is found by subtracting the given angles from 180°.
For example, ...
2. x = 180° -23° -68° = 89°
__
When a number of similar calculations are required, I like to enter the formula once and let a spreadsheet do the math. In the attached, the units of x are degrees. The problems are in order 1–4.
The 2013 Current Population Survey (CPS) estimates that 22.5% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States.40 We are interested in finding out the probability that at least 250 people among a random sample of 1,000 Mississippians live in poverty. (a) Estimate this probability using the normal approximation to the binomial distribution. (b) Estimate this probability using the distribution of the sample proportion. (c) How do your answers from parts (a) and (b) compare
Answer:
calcule bruto malparido
What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36
Answer:
3x-36 is equivalent to 3(x-12)
#15. A cube has a volume of 200 cm ^2 write the
edge length of the cube as a radical in simplest form
Answer:
[tex]2(25)^{\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The volume of a cube is 200 cm².
We need to find the edge length of the cube.
The formula for the volume of a cube is given by :
[tex]V=a^3[/tex]
a is the side of the cube
[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]
So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].