Step-by-step explanation:
13.8pie is correct answer of your question
Ms.chin asked her students to use the properties of multiplication to rewrite the expression
a. Is this an arithmetic sequence? How do you know?
b. How much does the investment grow each year?
c. How much money did the investment start out as?
d. What sequence equation would represent this graph?
e. What would the value of the investment be after another 10 years?
f. What would the value of the investment be after a total of 20 years?
Answer:
a. Yes. The difference is common and equal to $1750
b. $1750
c. $20000 was initial investment
d. This is linear equation with start point of 20000 and slope of 1750:
y = 1750x + 20000e. After another 10 years (on the top of 5 given) the investment will be:
y = 1750*15 + 20000 = $46250f. After 20 years the value of investment will be:
y = 1750*20 + 20000 = $55000A library had 570 books when it first opened. A year later, the number of books increased by 30%. How many books were there in the library a year later?
Answer: There were 741 books in the library a year later.
Step-by-step explanation:
Given: Total books in library = 570
Number of books increased by 30%.
One year later, Number of books in the library = (Total books in library) + 30% x (Total books in library)
= 570 + (0.30) x (570)
= 570 (1+0.30)
= 570 (1.30)
= 741
Hence, there were 741 books in the library a year later.
If a university accepts only 75 percent of applicants, and only 45 percent of accepted applicants enroll, what percentage of total applicants enroll
Answer = 33.75%
Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.
.45*75 = 33.75 of the original 100 Applicants have enrolled.
Transform the quadratic function defined by y=ax2+bx+c into the form y=a(x-h)2+k 1.Y=x2-6x-3 2.Y=5x2-20x-5
Answer:
1) y = (x-3)²-12
2) y = 5(x-2)²-9
Step-by-step explanation:
Given the quadratic expressions
y=x²-6x-3
We are to transform it in the form y=ax²+bx+c
y=(x²-6x)-3
Complete the square of the expression in parenthesis
y = (x²-6x + (6/2)² - (6/2)²)-3
y = (x²-6x+3²-3²)-3
y = (x²-6x+9-9)-3
y = (x²-6x+9)-12
y = (x²-3x-3x+9)-12
y = x(x-3)-3(x-3)-12
y = (x-3)(x-3)-12
y = (x-3)²-12
Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12
For the quadratic equation
y=(5x²-20x)-5
y = 5(x²-4x)- 5
Complete the square of the expression in parenthesis
y = 5(x²-4x+4-4)- 5
y = 5(x²-4x+4)-9
y = 5(x-2)²-9
Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9
Bus A leaves the station every 30 mins bus b leaves the station every 20 mins at 10 am both buses leave the station together work out the next time both buses leave at the same time
Answer: 11am
Step-by-step explanation:
To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:
20 = 20, 40, 60, 80, 100
30 = 30, 60, 90, 120, 150.
Here, the lowest common multiple is 60.
Therefore, we add 60 minutes to 10am. This will be:
= 10am + 1 hour
= 11 am
The next time that both buses leave at the same time would be 11am
you are purchasing a subscription to spotify premium.the subscription costs 15$ per month what's the dependent variable and independent variable
Answer:
$15 dependant variable, month is the independent variable
plz help me Quick l need helpppp
What is the y-intercept of the line 2x - 3y = -6?
Answer:
2
Step-by-step explanation:
substitute x=0 and find y
Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?
Answer:
400 words in 10 minutes
Step-by-step explanation:
If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.
You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera. How many different ways can the car be built?
Answer:
The number of different ways the car can be built is 31 different ways
Step-by-step explanation:
The given options are'
1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera
Therefore, the number of different ways the car can be built, n, is given as follows;
n = ₅C₁ + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅
n = 5 + 10 + 10 + 5 + 1 = 31 different ways
The number of different ways the car can be built = n = 31 different ways
What is the value of x?
Choose a value for b so that the relation below is not a function.
Answer:
B. -2
Step-by-step explanation:
A relation that is not a function would have one x-value having two different corresponding y-values.
If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).
PLEASE HELP ME! The question is in the photo.
Answer: B. 8n^18
Step-by-step explanation:
From the question, we are informed that the area of a square is 64n^36. The length of one side of the square would be calculated as the square root of the value given. This will be:
= ✓64n^36
= ✓64 × ✓n^36
= 8 × (n^36 × 1/2)
= 8 × n^18
= 8n^18
Therefore, the correct option is B.
the sum of the interior angles of a polygon is 1980°.how many sides has the polygon
Answer:
sum of interior angle of polygon = (2N-4) X 90 where N =number of sides
so (2N-4)x90=1980
therefore N=13.
therefore polygon has 13 sides
Answer:
To know how many sides has this polygon, knowing the sum of their interior angles, we can use this expression:
b = (n-2) * 180
Where b is the sum of the interior numbers and n the number of sides.
Knowing this, we can replace, as we kno w it
b = (n-2)) * 180
1980 = (n-2)*180
We can know solve the equation
We can use this distributive property to operate the parenthesis, which says that if we find this expression a(b+c), we can operate doing ab+ac, and, if we substract, we can also use it, as a(b-c) = ab-ac
1980 = (n-2)*180
1980 = 180n - 180*2 = 180n - 360
1980 = 180n - 360
1980 + 360 = 180n
[tex]\frac{1980+360}{180} = n.[/tex]
13 = n
So we know the polygon will have 13 sides..
For the function shown below, find f(2): f(x)=2x^4-8x^2+5x-7
Answer:
F(2)=3
Step-by-step explanation:
Toby picks a 4-digit number.
It is larger than 7999 and it is a multiple of 5.
How many different numbers could he have picked?
Answer:
Total different numbers = 400
Step-by-step explanation:
Assume;
Smallest number bigger than 7999( multiple of 5) = 8,000
largest 4 digit number multiple of 5) = 9,995
Computation:
a = 8,000
d = 5
an = 9,995
an = a + (n-1)d
9,995 = 8,000 + (n-1)5
1,995 = (n-1)5
399 = n-1
n = 400
Total different numbers = 400
Halle has $48 saved for a new computer. Then she receives birthday money giving her a total of $290 saved. How much birthday money did she receive?
PLEASE I NEED HELP WITH THISSS ASAP!!!! I WILL GIVE BRAINLIEST!
A salesman earns 5% commission on all the merchandise that he sells. Last month he sold $5000 worth of merchandise. How much commission (in dollars) did he earn last month?
Answer:
Solution in photo
Step-by-step explanation:
if tan=5/12 what is sin
Answer:
5/13
Step-by-step explanation:
by using SO TO CA
H A H
sin can be obtained
As an estimation we are told 5 miles is 8 km.
Convert 27.4 miles to km.
Answer:
≈ 44 kmStep-by-step explanation:
5 miles = 8 km
Then:
1 mile = 8/5 kmThen 27.4 miles is:
27.4*8/5 = 43.84 ≈ 44 kmNeed help please help
Answer:
The answer is c i guess.
Answer:
C) y=-1/2x+3
Step-by-step explanation:
y=mx+b.
m is the slope
b is the y-intercept
so the answer is C
y=-1/2x+3
I need help fast thanks
If a 16 oz package of cereal is $4.00, then what is the unit rate: 1 oz/.25 or .25/1 oz?
Answer:
1 ounce package of cereal will cost 4÷16=$0.25. $1 = 100 cents. $0.25=0.25x100= 25 cents. Unit cost of package is 25 cents.
Step-by-step explanation:
Answer:
first answer.
Step-by-step explanation:
Yo can I get some help ?
You burn 7 calories per minutes swimming. Your friend burns 273 calories running and then 11 calories per minutes swimming. You each swim for the same number of minutes. Find the difference in the amounts of calories burned by you and your friend
Answer:
168
Step-by-step explanation:
Find x. x2 = 576.
pls pls pls help
Answer:
x=24 or x= −24
Step-by-step explanation:
Step 1: Take square root.
x = ± √576
x=24 or x= −24
(just the first question) pls help my work is due tonight i will give brainliest
Nate wants to visit his friend Mac before going to the park. Nates house is located at (-2,4) while the park is located at (10,2). Find the location of macs house if it is 1/2 of the distance from Nates house to the park
Answer:
(4, 3)
Step-by-step explanation:
If a point O(x, y) divides a line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio of n:m, then the location of O is at:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Given that Nates house is located at (-2,4) while the park is located at (10,2). Macs house if it is 1/2 of the distance from Nates house to the park (that is in the ratio of 1:1). Let (x, y) be the coordinate of Macs house, therefore:
[tex]x=\frac{1}{2}(10-(-2))+(-2)=\frac{1}{2}(12)-2=6-2\\\\x= 4\\\\y=\frac{1}{2}(2-4) +4=\frac{1}{2}(-2)+4\\\\y=3[/tex]
The location of Macs house is (4, 3)