Answer:
20x^6
Step-by-step explanation:
multiply bases and add exponents
1+y=-4/5x-2
Solve for Y
Step-by-step explanation:
y=-4/5x-2-1
y=-4/5x-3
y/4=5x-3
(y/4)-3 =5x
(y-12)/4=5x
The solution for y will be y = -4/5x-3
What is expression?Numbers, symbols and operators grouped together that show the value of something.
Given an expression, 1+y=-4/5x-2
Solving for y, we get
1+y=-4/5x-2
y = -4/5x-2-1
y = -4/5x-3
Hence, The solution for y will be y = -4/5x-3
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles
2(3x-17) by using the distributive property
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
find the third proportion to 8 and 12
Answer:
let the third proportion be x.
then 8,12 and x are in proportion
then 8:12=12:x
8x=12×12
x=144/8=18
Step-by-step explanation:
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Answer:
250%
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the value of x in a triangle 68 27
9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...
Step-by-step explanation:
first geometric sequence
3^1, 3^2 ,3^3, 3^4,......
3, 9, 27, 81.......
second
5^1, 5^2, 5^3, 5^4,........
5, 25, 125, 625,........
third
2, 10, 18, 26,.....
which has the difference of 8
fourth
100, 90, 80, 70,......
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
Simplify -8n - 7(6n - 6)
Answer:
-50n + 42
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-8n - 7(6n - 6)
Step 2: Simplify
Distribute -7: -8n - 42n + 42Combine like terms: -50n + 42
I need help determineing the next number.?!
Answer:
The next number is -12 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ The pattern is 2,916, -972, 324, -108, 36, ....
→ All the given numbers are divisible by 3 because the sum of
the digits of each number can divide by 3
2+9+1+6 = 18 → multiple of 39+7+2 = 18 → multiple of 33+2+4 = 9 → multiple of 31+0+8 = 9 → multiple of 33+6 = 9 → multiple of 3∵ The pattern has positive and negative numbers
∴ Each next term = the previous term ÷ -3
→ Let us do that to find the missing number
∵ 2916 ÷ -3 = -972
∵ -972 ÷ -3 = 324
∵ 324 ÷ -3 = -108
∵ -108 ÷ -3 = 36
→ Find the next number by divide 36 by -3
∵ 36 ÷ -3 = -12
∴ The next number is -12
Find the area of the equilateral triangle whose side length is a. Please help, 10 points.
Answer:
see explanation
Step-by-step explanation:
The area (A) of an equilateral triangle with side a is calculated as
A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]
PLS HELP ITS DUE TODAY!!
If you have 75 Dollars, then number of nickels, y
- y = 75 ÷ 20
- y = 20 x 75
- y = 20 ÷ 75
Answer:
y=20x75 is the answer
Step-by-step explanation:
You can basically eliminate other two choices since they are division
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
Which equation justifies why 7^1/3 = 3 square root 7?
Answer:
c
Step-by-step explanation:
I took the test and got it right
The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.
C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.
Let's break down the steps:
Seven to the one-third power all raised to the third power:
[tex](7^{(1/3)})^3[/tex]
Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:
[tex]7^{(1/3 * 3)[/tex]
The exponent 1/3 multiplied by 3 is equal to 1:
[tex]7^1[/tex]
Any number raised to the power of 1 is itself, so:
7
This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.
Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.
To learn more on exponent number click:
brainly.com/question/19467739
#SPJ4
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
What is the product?
3 6 1
2
24 OX|0
0 6 2
1
Answer:
[7]
[4]
[2]
Step-by-step explanation:
The first matrices has 3 rows and 3 columns.
The second matrices has 3 rows and 1 column.
Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.
Solve:
[3 * 2 + 6 * 0 + 1 * 1] [7]
[2 * 2 + 0 * 0 + 0 * 1] = [4]
[0 * 2 + 6 * 0 + 2 * 1] [2]
If one mile equals 5,280 feet, how many feet are in 7 miles?
754 feet
1,326 feet
3,696 feet
36,960 feet
Answer:
36,960
Step-by-step explanation:
multiply 5280 by 7
What is the answer to this equation: 40+40-20x0+3+125=
Answer:
208
Step-by-step explanation:
20 × 0 = 0
40 + 40 = 80
125 + 3 = 128
The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]40+40-20\times 0+3+125[/tex]
The following steps can be used to evaluate the given expression:
Step 1 - Write down the expression.
[tex]=40+40-20\times 0+3+125[/tex]
Step 2 - First, multiply -20 by 0 in the given expression.
[tex]=40+40-0+3+125[/tex]
Step 3 - Now, Add 40 and 40 in the above expression.
= 80 + 3 + 125
Step 4 - Add 80 and 3 in the above expression.
= 83 + 125
Step 5 - Add 83 and 125 in the above expression.
= 208
For more information, refer to the link given below:
https://brainly.com/question/1957976
Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?
Answer:
1080
Step-by-step explanation:
if 10 percent are left handed that means that 90 percent are right handed
number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080Answer:
120
Step-by-step explanation:
10%=0.1
1200*0.1=120
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
Passes through (8,8) and (10,9)
Plz help need answer ASAP
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line