A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
https://brainly.com/question/17161065
Is this a Percent Increase or Decrease Problem?
Shaleka had a 10%-off coupon and paid $36 for pair of
jeans.
Answer:
Percent Decrease
Please mark as brainliest for further answers :)
First answer gets brainest. 8th grade math root question
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
The area of a square is 1800 in2, how long is each diagonal?
9514 1404 393
Answer:
60 in
Step-by-step explanation:
The area of a square can be computed as ...
A = (1/2)d^2 . . . . where d is the length of the diagonal
For an area of 1800 in^2, the diagonal length can be found as ...
1800 in^2 = 1/2d^2
3600 in^2 = d^2
d = √3600 in = 60 in
The length of each diagonal is 60 inches.
name three services that the government provides that do not make a profit
Answer:
postal services, highways, national defense, public health care, fire department
Step-by-step explanation:
sorry i added more
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5
Answer:
1/5
Step-by-step explanation:
5 out of 25 reduces to 1 out of 5
A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?
Answer:
P = 0.232
Step-by-step explanation:
In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.
This adds up to a total of 30 bottles.
Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.
The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,
This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:
p = 12/30
Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.
In this case, the probability is:
q = 11/29
The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.
Then the probability of pulling apple juice and then pulling another apple juice is:
P = p*q = (12/30)*(11/29) = 0.232
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
O: The height of the water increases 2 inches per minute.
O: The height of the water decreases 2 inches per minute.
O: The height of the water was 2 inches before any water was added.
O: The height of the water will be 2 inches when the pool is filled
Answer:
answer is a
the height of the water increases 2 inches per minute
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
Hey, I need help!
What is 56/2?
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answer:
add a picture
Step-by-step explanation:
PLEASE HELP! IM GIVING BRAINLIEST!
Answer:
1/2 x 1/2= 2/4
Step-by-step explanation:
Answer:
Nicoles pattern is correct
Ians pattern is 0,1,3,7,15,
Coordinate pairs
1,0
5,1
17,3
53,7
161,15
Step-by-step explanation:
Pencil and paper
solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
15. Which graph shows - 3x + y = 8
first question
Answer:
Im sorry but i can't read it
Step-by-step explanation:
What is the opposite of -45?
Answer:
45 or positive 45
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
find the domain and range of the function f(x)= 8|x|+sinx
Answer:It’s D
Step-by-step explanation:
edge
Solve for y please will mark brainly
Answer:
y = -4
Step-by-step explanation:
since f(y) = 9, you know the equation is equal to 9
9 = [tex]\sqrt{y+29}[/tex] - y
81 + 18y + y^2 = y + 29
y = -4
What is the value of X to the nearest tenth???
Answer:
11
Step-by-step explanation:
Point O is the center of the square ABCD. Point E is the midpoint of line segment CD. The area of square ABCD is 24, what is the are of the quadrilateral BCEO?
Answer: You divided 24 by 3 then you take the answer
Step-by-step explanation:I hope it help
a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?
Answer:
150 pairs
Step-by-step explanation:
so total money spent Is equal to 5000
profit is equal to 3000
profit on each pair is equal to 20
so 3000 divided by 20
which gives 150
so 150 pairs of sunglasses were involved
pls give me brainliest I need it
Answer:
The sunglasses involved are 200
I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY!!! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), C(-3, 6), and D(-8, 6)
What is the area of rectangle ABCD
Answer:
15 square units
Step-by-step explanation:
So who’s tryna help me ☝
Answer:
4
Step-by-step explanation:
5+3=8 and 5-3=2 which is 8/2=4
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
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Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
Find x in each triangle.
Answer:
it is 3.4 cm
Step-by-step explanation:
by phythagorous teorm
3 square +1.6 square=x square
11.56=x square
then x =radical 11.56 =3.4 cm
solve for x using the quadratic formula. x^2+9x+20=0
Answer: x= -4,-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can help
Step 1
factor the left sides of the equation
Then you will get (x+4)(x+5)=0
Step 2
You will have to set the factors equal to 0
x=-4 or x=-5
Hope this helped
cooking like a chef im a five star michellin
Answer:
0o0
Step-by-step explanation:
umm... oki buddy
Answer;
oo nice
Step by step Explanation
A mason gets $684 for 9 days
of work how many days
should he work to get $912
Answer:
12days
Step-by-step explanation:
A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.
Answer:
12 days
Step-by-step explanation:
912/76 = 12
if the square roots of the natural numbers from 1 to 200 are calculated what will be the whole numbers
Answer:
f
Step-by-step explanation:
Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.
The whole numbers will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
How to find the whole numbers?
Remember that a square root will have a whole number as an outcome only if the input is a square number.
Then, what we can do here is just find all the square numbers smaller than 200.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
11*11 = 121
12*12 = 144
13*13 = 169
14*14 = 196
Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
Can someone help me pls
Answer:
57°
Step-by-step explanation:
180-56=114
114÷2=57
Answer:
57°
Step-by-step explanation:
AO and BO are both the radius of the circle, so they are equal. Since it makes an iscosoles triangle, angles A and B are equal.
180-66=114
114/2=57