Answer:45 x 12 = 450
15 x 10 = 150
35 x 15 = 525
43 x 14 = 602
Step-by-step explanation:
Solve negative a minus four sevenths equals two thirds for a.
a equals negative 26 over 21
a equals 26 over 21
a equals negative 2 over 21
a equals 2 over 21
The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.
How to solve the linear equation?Here we have a mathematical statement that can be written as the following linear equation:
-a - 4/7= 2/3
To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.
-a - 4/7 = 2/3
a = -4/7 - 2/3
Now we need a common denominator in the right side, i will use 21.
a = -12/21 - 14/21 = -26/21
So the correct option is the first one.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
25y²-90y+81
Factor the polynomial completely
Answer:
The answer is
[tex] {(5y - 9)}^{2} [/tex]
Step-by-step explanation:
factor
[tex] {(25y }^{2} - 90y + 81)[/tex]
get the GCF of 25,-90,81=1
get the square root of leading terms
[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]
the final answer is
[tex] {(5y -9) }^{2} [/tex]
1. You launch a toy rocket from a height of 5 feet. The height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5.
In case whereby You launch a toy rocket from a height of 5 feet with the height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be 4.67 secs.
How can the values of t be calculated?
The giving equation is h = -3t2 + 14t + 5
where the height h is been given as 5 feet, then we can substitute the value of the height they the expression can be simplified as
5 = -3t^2 + 14t + 5
Then this equation can be re arranged as :
-3t^2 + 14t + 5 - 5=0
This can as well be expressed as
-3t^2 + 14t = 0
t(-3t + 14)= 0
Then t= 0 and -3t + 14=0
t=14/3 = 4.67 secs
Learn more about rocket from
https://brainly.com/question/18882907
#SPJ1
Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
What is the edge length of the container?
Hint: The volume of the container is 64 cubic inches.
If Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches
The shape of the container is cube
He uses 64 cubes with side length of 1 inch to completely fill the container
The volume of cube with side length of 1 inches = [tex]a^{3}[/tex]
Where a is the side length of the cube
= [tex]1^{3}[/tex]
= 1 cubic inches
The volume of 64 cubes = 64×1
= 64 cubic inches
The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches
[tex]a^{3}[/tex] = 64
a = 4 inches
Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches
Learn more about volume here
brainly.com/question/11168779
#SPJ1
Find the equation of the line that is perpendicular to the line y =5x + 6 and passes through the point (-3,3). Write the equation in point slope form.
The point-slope form of equation of the line perpendicular to the line y = 5x + 6 nd passing through (-3,3) is x + 5y = 12.
If two lines are perpendicular to each other, then the product of slopes of these two lines is equal to -1.
The provided line is y = 5x + 6,
The slope M₁ of the line is equal to the coefficient of x,
M₁ = 5
Let the slope of the perpendicular line is M₂,
So, we can write,
M₁M₂ = -1
M₂ = -1/5.
Now, we can use the point slope form of the equation of line, according to which is if line passes through (a,b) and have slope m then the equation of the line will be,
(y-a) = m(x-a)
This form of line is called Point-slope form of line.
Then, the equation of the line with slope -1/5 and passing through (-3,3) will be,
(y-3) = -1/5(x+3)
-5y+15 = x+3
x + 5y = 12
The above equation is the required equation of line in point slope form.
To know more about Point-slope form, visit,
https://brainly.com/question/25240053
#SPJ1
Can some one pls help!? I have no clue what I’m doing. And I’ve not been given a book to look from
The unknown angles are as follows:
m∠EFH = 59.5°m∠GFH = 59.5°What are angle bisector?An angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In other words, a line that splits an angle into two equal angles.
Therefore, a bisector of an angle 120 degrees bisect the angle into 60 degrees.
Hence, FH bisect ∠EFG into the angles m∠EFH and m∠GFH .
Therefore, m∠GFH and m∠EFH are congruent.
m∠EFG = 119°
Hence,
m∠EFH = m∠GFH
Therefore,
m∠EFH = 119 / 2
Hence,
m∠EFH = 59.5°
m∠GFH = 59.5°
learn more on angle bisector here: https://brainly.com/question/12896755
#SPJ1
PLEASE HELP SUPER FAST AND ILL GIVE BRAINLEST
Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
Write an ordered-pair rule for each transformation in the sequence.
Transformations that maps ∆ABC to ∆A''B''C'' is [tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]
What is coordinate plane ?A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.
Reflection about x - axes (x,y)→(x,-y)
Reflection about y - axes (x,-y)→(-x,-y)
combined reflection is reflection about origin.
[tex]A^{'}(5,-3) \\B^{'}(2,-3)\\[/tex]
[tex]C^{'}(4,-1)[/tex]
Shift upward by 1 unit and on right hand side by 3 units
(x,y)→(x+3;y+1)
=[tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]
To learn more about coordinate plane visit :
brainly.com/question/13611766
#SPJ13
What were William's total fixed and variable expenses during the first year of college? Select the correct answer from each
drop-down menu.
Step-by-step explanation:
sorry i just need the points im reallyy really sorryAnswer:
Step-by-step explanation:
variable expenses sum is 6,100
fixed expenses sum is 18,942
write an equation which relates the figure number x to the number of tiles y
Write an equation which relates the figure number x to the number of tiles y
x= increase a row of 4 per image
y = 1 + 4*x
Figures
1
y = 1 + 4*(1) = 5
2
y = 1 + 4*(2) = 11
3
y = 1 + 4*(3) = 13
__________________
Answer
The equation which relates the figure number x to the number of tiles y is
y = 1 + 4x
_
Can you see the updates?
Do you have any questions regarding the solution?
A dealership tracks the correlation between the age of its used cars and asking price for the car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
Which statements are true regarding this model? Check all that apply.
For every one year in age, the price is predicted to increase by $930.
For every one year in age, the price is predicted to decrease by $930.
If the car is new, the car is predicted to cost $12,338.
If the age of the car is 1 year, the price is predicted to be $12,338.
Answer:
Step-by-step explanation:
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?
Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
Answer:
B - For every one year in age, the price is predicted to decrease by $930
C- If the Car is new, the car is predicted to cost $12,338.
Step-by-step explanation:
correct on edge 2022
Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account paying interest at a rate of 21.4 percent, continuously compounded
Answer:
3.24 years
Step-by-step explanation:
2 = e^it Decimal interest = i T = years 2 = double
T = 3.24 years For ANY deposit amount to double
if you answer beans u r a chad
beans
Answer: bean
Step-by-step explanation:
bean chd china bean poopies beans
t+p=
1350
Blank 1:
Р
t
PLEASE HURRY
Answer:
135
Step-by-step explanation:
two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles
so in this case
p + t = 135
please help me!! 25 points!
The location of point P such that the ratio AP / PB = 2 / 3 is (1, - 2).
What are the coordinates of a point that partition a line segment?
In this question we have the location of two endpoints of a line segment, point A (3, 0) and point B (- 2, - 5). About the line segment, we are asked to find the coordinates of a point P such that the following ratio is met:
AP / PB = 2 / 3
3 · AP = 2 · PB
3 · [P(x, y) - A(x, y)] = 2 · [B(x, y) - P(x, y)]
3 · P(x, y) - 3 · A(x, y) = 2 · B(x, y) - 2 · P(x, y)
5 · P(x, y) = 3 · A(x, y) + 2 · B(x, y)
P(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
P(x, y) = (3 / 5) · (3, 0) + (2 / 5) · (- 2, - 5)
P(x, y) = (9 / 5, 0) + (- 4 / 5, - 10 / 5)
P(x, y) = (9 / 5, 0) + (- 4 / 5, - 2)
P(x, y) = (1, - 2)
The location of point P is (1, - 2).
To learn on partitioning line segments: https://brainly.com/question/3148758
#SPJ1
the populations of towns a, b, and c vary exponentially with respect to time. the population of town a increases by 26% every 11 years. what is the annual percent change in the population of town a? % the population of town b decreases by 39% every 13 years. what is the annual percent change in the population of town b? % the population of town c triples every 5 years. what is the annual percent change in the population of town c?
a. 11 year growth factor = 1 + (26/100) = 1.26
1-year growth factor = (1.26)^1/11 = 1.0210
Therefore,
1-year growth percent = 1.0210 - 1 = 0.0210 %
Answer: 2.10
b. 13-year decay factor = 1 - (39/100) = 0.61
1-year decay factor = (0.61)1/13 = 0.9631
Therefore,
13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%
Answer: 3.68
c. 5-year growth factor = 3
1-year growth factor = (3) ^1/5 = 1.245
Therefore,
1-year growth factor = 1.2457 - 1 = 0.2457 = 2.45%
Answer:2.45
To learn more about growth factor click here:
brainly.com/question/11161311
#SPJ4
I wills end you a picture
The rate of change is represented by the slope of each club.
For Club A is 12.
For Club B we calculate using the formula
[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]\begin{gathered} m=\frac{42-21}{2-1} \\ m=\frac{21}{1}=21 \end{gathered}[/tex]The value is 21.
For Club C we apply the same formula and use the poins shown in the graphic
[tex]\begin{gathered} m=\frac{70-40}{3-1} \\ m=\frac{30}{2} \\ m=15 \end{gathered}[/tex]For club D the slope is the value that is paid each month
which in this case is $20
According to this the greatest rate of chande is for Health Club B
Amy runs 7 miles in 53 minutes how many miles per minute
The distance run by Amy per minute is 0.132 miles.
Given,
The distance run by Amy = 7 miles
Time taken by Amy to cover this distance = 53 minutes
We have to find the distance covered by Amy in one minute.
So,
Distance covered by Amy per minute = x
Then,
7 / 53 = x / 1
7 × 1 = x × 53
Here,
x = 7/53
Then,
x = 0.132
That is,
The distance run by Amy per minute is 0.132 miles.
Learn more about distance here:
https://brainly.com/question/9550837
#SPJ1
what are the coordinates of point E
Step-by-step explanation:
E = (-8, 2)
reflected across the y axis means that there is kind of a mirror along the y-axis.
and when you look into that mirror, you see point D as point E all the way on the other side of the mirror, at the same distance from the mirror as point D is. and point E has the same "height" (y) as point D.
since the other side of the mirror represents the negative numbers, the same distance to the mirror means the same amount of negative units away from the mirror for E, as we have positive units away from the mirror for D.
Three cups of oatmeal are used to make 24 oatmeal cookies. How many cups of oatmeal are needed to make 36 oatmeal cookies?
someone please help me???
Triangle ABC is rotated to create the image A'B'C'.
Which rule describes the transformation?
(x, y) - (x.-y)
(x,y) - (y.x)
(x,y) - (-x.-y)
(x,y) - (-y.-x)
Option C, (x, y) - (-x, -y) is the rule which describes the transformation.
A rotation in geometry is a change of a shape that involves turning it by a given number of degrees around a certain point known as the center of rotation and is denoted as R(0,x), wherein x is an angle of rotation around a center point O.
Assume triangle ABC's subsequence to be (x, y) and the angle of rotation for rotating triangle ABC to A'B'C' to be 180° or -180° about the center of rotation (0,0).
That is under R(0,0),180°.
The image formed is (-x,-y).
The resulting picture will contain a triangle ABC in the first quadrant of the graph and a triangle A'B'C inside the third quadrant with the center of rotations (0,0).
Learn more about Coordinate Geometry at
https://brainly.com/question/27878830?referrer=searchResults
#SPJ9
Draw a coordinate plane on your paper. Then
plot the points on your coordinate plane.
A(3, 1) B(2, 4) C(4, 1) D(1, 5)
Answer:
yw:) have a good day :)
5. For the following function, evaluate f(5)-f(4), *
f(x) = -2x²-x+3
For this following function by evaluating f(5)-f(4) we get -19.
What is evaluate?
Finding the value of an algebraic expression when a given number is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.
Sol- f(5)-f(4)
f(5)-f(4)= (-2.5^2-5+3)-(-2.4^2-4+3)
Calculate the power
(-2×25-5+3)-(-2×4^2-4+3)
Calculate the product or quotient
(-50-5+3)-(-2×16-4+3)
Calculate the sum
-52-(-32-4+3)
=-52-(-33)
determine the sign
=-52+33
By calculating the sum of difference we are get
-19.
To know more about evaluate click-
https://brainly.com/question/25907410
#SPJ13
24. a. The 2004 Toyota Corolla is advertised by Toyota as getting 32 miles to the gallon while driving around town. We will assume that Toyota is rounding this number to the units place. The fuel tank holds 13.2 gallons. If the tank is full, how many miles could drive before running out of gas? Round according the guidelines.
b. AAA ran tests on fuel efficiency and found the 2004 Toyota Corolla actually got 28.9 miles per gallon driving around town. Using AAA's estimate, how long could you drive before running out of gas? Round according the guidelines.
c. How many miles less does the AAA estimate predict you can get on a single tank of gas? Round according the guidelines.
a) If the tank is full, using mathematical operations based on the 2004 Toyota Corolla, you will run 422.4 miles before running out of gas, according to Toyota's advert.
b) Using AAA's estimate, one could drive 381.4 miles before running out of gas.
c) Based on the AAA estimate, on a single tank of gas, you can predict that you will get 40.9 miles less.
What are mathematical operations?The mathematical operations include subtraction, addition, division, and multiplication.
For our purpose, we have used the mathematical operations of multiplication and subtraction to determine the above values.
Claimed mileage per gallon, according to the Toyota advert = 32 miles
The number of gallons of gas in Toyota Corolla's full tank = 13.2 gallons.
AA fuel efficiency on 2004 Toyota Corolla = 28.9 mpg
a) Miles to run before running out of gas (Toyota advert) = 422.4 (32 x 13.2) miles
b) Miles to run before running out of gas (AAA rating) = 381.48 (28.9 x 13.2) miles
c) The difference in miles between (a) and (b) above = 40.92 (422.4 - 381.48) miles
Learn more about mathematical operations at https://brainly.com/question/20628271
#SPJ1
Could someone help me with this question?
Select the correct answer.
Aster Inc. paid salaries of $28,000 to its employees. How are the balance sheet and income statement affected by this transaction?
Based on the fact that Aster Inc. paid salaries to its employees, the effect on the balance sheet and the income statement is A. Assets ↓ Expenses ↑.
What are assets and expenses affected?When the salaries were paid by Aster Inc. to its employees, the effect was that the assets decreased. This is because cash was used to pay the salaries and cash is an asset.
Expenses will increase because when there is a payment of expenses to employees, it is recorded as a debit to the relevant asset account so this is an increase that will decrease income.
Find out more on the effects of expenses at https://brainly.com/question/18958281
#SPJ1
Which equation exemplifies the Associative Property of Multiplication?
O8x0=0x8
O 1+(7+8)= (1+7)+8
O3x6=2x9
O 3(2x4) = (3x2)4
Answer:
3(2×4)=(3×4)2
%%%%%%%%
Jade has four slices of chocolate cake.
She gives a slice to Josh, Malaysia, and Jacob.
What fraction of the cake did Jade give away?
Jade give away 3/4 fraction of the cake.
May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?
Answer:
Answer down below!
Step-by-step explanation:
Lets start off by finding a point we can start off at!
Since (2,0) lands perfectly on the number line, we can use that one!
From there, use the rise/run method to find your slope
We go up 2 and over -2
Thus our fraction is -2/2 BUT WE AREN'T DONE!
We can simplify this to be -1/1 or -1
Thus, our slope is -1
It's negative one, starting from the y intercept you're going down one right one and so on.
How do you write 8.61 × 10–1 in standard form?
The expression 8.61 x 10-1 in standard form is 0.861
How to rewrite the expression?The expression is given as
8.61 x 10-1
Rewrite the equation properly as follows
So, we have the following expression
8.61 x 10^-1
Express 10^-1 as 1/10
So, we have the following expression
8.61 x 1/10
Evaluate the products
So, we have the following expression
8.61/10
Evaluate the quotient
So, we have the following expression
0.861
Hence, the expression is 0.861
Read more about standard form at
https://brainly.com/question/1708649
#SPJ1
I need help with question 6, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 6
Question 6 asks us to determine the period of the function.
Looking at the height of the blade tip, it varies in a sinusoidal manner.
Thus, the period is the distance between successive same heights on the table.
The function takes 360 degrees to return to its same value. At angle zero, the height was 150ft and it was still 150 ft at 360 degrees.
Thus the period is 360 degrees.
Simplify using long division: fraction with x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator a x squared minus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity b x squared minus 2 times x minus 2 plus 1 over quantity x minus 1 end quantity c x squared plus 2 times x plus 2 plus 1 over quantity x minus 1 end quantity d x squared plus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity
The answer is A x^2-3x-1+1/x-1
The expression is x²-3x-1+ 1/ (x-1).
what is long division?The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we split into smaller groups, while the divisor is the number by which we divide. A difficulty can be solved by breaking it down into manageable parts.
The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The extra amount that cannot be divided yields the quotient, which is known as the residual.
Given:
x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator=x³ - 4x² + 2x + 2 / x-1
Now, performing the long division method we have
= [tex]x^2+\frac{-3x^2+2x+2}{x-1}[/tex]
= [tex]= [x^2-3x+\frac{-x+2}{x-1}[/tex]
= [tex]= (x^2-3x-1)+ 1/ (x-1)[/tex]
Hence, the simplified division is x²-3x-1+ 1/ (x-1)
Learn more about long division here:
https://brainly.com/question/28824872
#SPJ1