[tex]8y^3-6y\\2y(4y^2-3)[/tex]
Factor 2 out because both 8 and 6 can be divided by 2.
Factor y out because there are same y's in a polynomial.
Answer:
2y (4y^2-3)
Step-by-step explanation:
8y^3 - 6y
Over here, we need to first look for the value they have in common
and u can identify that its "y". Now look for a no. that u can multiply both the no.s inside with. In this case, it two...but usually u need to pick the biggest value u can multiply both the no.s with.
So, now we need to put the common value outside the bracket-
2y (......)
2y * 4y^2 can give u 8y^3, therefore this will be the first value inside the bracket, the next value will be 2y*-3 coz it will give u -6y [Be careful of the signs].
So the ans would end up being-
2y (4y^2-3)
{u can comment if u have doubts :))}
Question 10: Andrew is going to fill an empty swimming pool.
Andrew fills the swimming pool with water at a constant
rate of 2.1 litres per second.
Given 1m³= 1000 litres, estimate how long it takes to fill the pool.
7.15m
21m
1.9m
The swimming pool will take 135850 seconds to fill with water.
Given the dimensions of the pool are:
7.15 m
21 m
1.9
The swimming pool is being filled with water at a constant rate of 2.1 liters per second.
hence the volume of the swimming pool is :
volume = 7.15 × 21 × 1.9
volume = 285.285 m³
convert from meters to liters.
volume = 285.285 × 1000
= 285285 liters.
to find out the time required to fill the pool, we need to divide the volume by the flow rate.
⇒ 285285 ÷ 2.1
= 135850
hence the swimming pool will take 135850 seconds to fill with water.
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what the hell we switched from hegarty to sparx and i hate it .
help please
Answer:
a) 3
b) draw a rectangle
Step-by-step explanation:
___
|___| combine the rectangle (3 bottom lines, 3 top lines, 2 left lines, 2 right lines)
In a classroom, 14 children have a dog as a pet, 11 children have cats and 3 who have both. If 24 children don't have either a cat of a dog, how many children are in the classroom.
Greetings from Brasil...
Using set theory to solve this question
Let
D = Dogs Set
C = Cats Set
R = Classroom Set
n(D ∪ C) = n(D) + n(C) - n(D ∩ C)
n(D ∪ C) = 14 + 11 - 3
n(D ∪ C) = 22
Then,
Total = n(D ∪ C) + 24
Total = 22 + 24
Total = 46How do you simplify this
-2 6
3. x · x
Answer:
13 • -2 = -26
Step-by-step explanation:
-13 + -13= -26
What is the length, in inches, of EG?
Question 3
Examine the table, which contains some points of a quadratic function.
X
-1
0
1
2
3
Which
f(x)
12
15
16
15
12
mont correctly describes the end behavior of the function?
Answer
this question is impossible!11!1!!!!
Step-by-step explanation:
none
A line with a slope of -1/12 passes through the point (0, 11). What is its equation in slope-intercept form ?
Answer:
y = -1/12x + 11
Step-by-step explanation:
An ordered pair is the form (x,y) Us the x and y from the point and the slope to find the y intercept and then you can write the equation.
Use o for x and 11 and or y and - 1/12 for m
y = mx + b
11 = (-1/12)(0) + b
11 = b
y = -1/12x + 11
Answer:
Y = -1/12 x + 11
Step-by-step explanation:
Start with point (0,11) slope ( -1/12) form :
(y-11) = -1/12 (x-0)
re-arrange to slope intercept form just by adding 11 to both sides
y = -1/12 x + 11
In the diagram below AB||CD what measure of ECF
Answer:
Step-by-step explanation:
135.8 minus 47.5
It takes Mr.Rose 10 hours to complete a painting job. His helper John can complete the same job in 15 hours. If Mr.Rose and John work together, how long will it take them to complete the job?
Answer: 25 hours long time"
Yan po yung sagot pa brainliest po
Step-by-step explanation:
. a boat costs x dollars, and this cost is to be shared equally by a group of people. in terms of x, how many dollars less will each person contribute if there are 4 people in the group instead of 3
Answer:
x/12
Step-by-step explanation:
In terms of x with no dollar numbers provided, the amount LESS for 4 people versus 3 would be x/3 - x/4. Getting 12 as the LCD and subtracting gives x/12 less to pay.
If you had $20 US, estimate how many Yen and Pounds you would have. Show your work. Please help I have to have it done today and I have to show my work!!!!!
Step-by-step explanation:
20 USD = about 2,859.72 yen
20 USD= about 17.55 pound silver
1USD = 142.99 yen
1USD = 0.88 pound
Answer:
I deleted my answer because I didn't see that someone already answered this question.
Show Your Work
The steps a student took to solve an equation are shown below.
2(x+4)= 6(x-2)
Step 1:
Step 2:
Step 3:
Step 4:
-2x-8=6x-12
-8=4x-12
4 = 4x
x = 1
What error did the student make and what is the correct value
of x?
Answer:
x=5
Step-by-step explanation:
step 1 : exapnding 2(x+4) will give you 2x +8 , the student made an error in expanding
so it should then be 2x+8 = 6x-12
and then if you move the letters to one side and the numbers to the other you will get :
-4x = -20
x=5
hope this works :)
x=5
Step-by-step explanation:
the student added a minus in 2x and 8 when it's suppose to be an addition that is the error
2(x+4)=6(x-2)
2x+8=6x-12
2x-6x=-8-12
-4x=-20
x= -20/-4= 5
x=5
there are four even integers in the top five rows of pascal's triangle. how many even integers are in the top 10 rows of the triangle?
There are 22 even numbers in the top 10 rows.
Pascal's triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle.
The tip of the triangle starts with 1 and the 1 starts continuing to both the ends of the triangle in each row and in between there is the sum.
For example:
1
1 1
1 2 1
1 3 3 1
In the above manner, it continues.
now, for 10 rows the pascal triangle will be:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
for five rows in the top, the even numbers are 2, 4, 6, 4 which are 4 in total.
for 10 rows in the top, the numbers are 2, 4, 6, 4, 10, 10, 6, 20, 6, 8, 28, 56, 70, 56, 28, 8, 36, 84, 126, 126, 84, 36
Hence there are 22 even numbers in the top 10 rows.
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An 8-pint container of window cleaner costs $18.72. What is the price per cup?
Answer:
I think the answer is Answer: 1.17 per cup
Step-by-step explanation:
Work
If one 1-pint is 2 cups
Then 2 * 8 = 16 cups
so then $18.72 divided by 16
1.17 US
Hope this help pls like
In the formula i=p·r·t, what does r stand for? a. rate: the percent that interest is paid annually as a decimal b. ratio: the size of the interest interval compared to time c. return: how much money you end up earning d. reserves: how much money you have in the investment please select the best answer from the choices provided a b c d
r stands for a. rate: the percent that interest is paid annually as a decimal.
The formula given in question is of simple interest. Rewriting the formula, along with definition of each value.
S. I. = p × r × t. In this formula, S.I. is simple interest, p refers to principal amount, r refers to rate of interest and t refers to time period.
Principal amount is the original amount of money, which person has from beginning. Rate of interest is the indicative of charge on principal amount, that has to be paid back. It can be charged annually, monthly, quarterly or as specified. Time period is amount of time for which the principal amount is taken. Interest will be calculated for this time period.
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y−t/x=m Solve for 'y'.
Answer:
y = m(x) + t
Step-by-step explanation:
Pretty sure this is the right answer...
Hope this helps! :D
charlene levington operates an oil change and tune-up service. she charges $33.95 per oil change. tune-up is $72.50 for a four-cylinder engine, $82.50 for a six-cylinder engine, and $92.50 for an eight-cylinder engine.
The charges for a week in which Charlene's facility did 35 oil changes and tuned 5 four-cylinder engines, and 7 six-cylinder will be $2313.25.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that charges per oil change are $33.95, charges for a four-cylinder engine $72.50, charges for a six-cylinder engine $82.50, and, charges for an eight-cylinder engine $92.50.
The total charges will be calculated as below:-
No oil changes done by Charlene = 35
price of 5 - four-cylinder engines = 5 × 72.50
= 362.50 .....(1)
Price of 7 - six cylinder engines = 7 × 82.50
= 577.50 ........(2)
Price of 2 - eight-cylinder engines = 2 × 92.50
= 185 ...........(3)
Now, adding (1), (2),(3)
= 362.50 + 577.50 + 185
= 1125 ...........(4)
Total charges for oil = 33.95 × 35
= 1188.25 ..........(5)
Add equations (4) and (5) to get the total charges.
= 1125 + 1188.25
= 2313.25
Therefore, the total charges will be $2313.25.
The complete question is given below:-
Charlene operates an oil change and tune-up service. she charges $33.95 per oil change. a tune-up is $72.50 for a four-cylinder engine, $82.50 for a six-cylinder engine, and $92.50 for an eight-cylinder engine. what are the charges for a week in which Charlene's facility did 35 oil changes and tuned 5 four-cylinder engines, and 7 six-cylinder?
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Given the figure below, find the values of x and z.
20
X
(5x + 39)°
71°
Answer:
Step-by-step explanation:
(5x+39)° and 71° are in a straight line therefore their summation will have to give us 180°(supplementary angles)5x+39°+71°=180°5x=180°-39°-71°5x=70°[tex]\frac{5x}{5} =\frac{70}{5} \\x=14\\[/tex] z is vertically opposite to 71° therefore z= 71°Use the position equation given below, where s represents the height of the object (in feet),
v0
represents the initial velocity of the object (in feet per second),
s0
represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem.
s = −16t2 + v0t + s0
You drop a coin from the top of a building. The building has a height of 1028 feet.
(a) Use the position equation to write a mathematical model for the height of the coin.
s = ?
(b) Find the height of the coin after 1.5 seconds.
s = ? ft
(c) How long does it take the coin to strike the ground? (Round your answer to two decimal places.)
t = ? sec
(I really can't comprehend how to due this but its due soon, please help me!)
Using the motion equation we can get:
a) s = -16*t^2 + 1028
b) 992 feet above the ground.
c) after 8 seconds, the coin will hit the ground.
How to write the height equation?
First, we know that the general height equation is:
s = -16*t^2 + v0*t + s0
In this case, the coin is dropped, so the initial velocity v0 is zero.
And the coin is dropped from a height of 1028 ft, then s0 = 1028
Replacing that in the equation we get:
s = -16*t^2 + 1028
b) The height after 1.5 seconds is what we get by evaluating the height equation in t = 1.5
s = -16*(1.5)^2 + 1028 = 992
This means that the height after 1.5 seconds is 992 ft above the ground.
c) The coin will strike the ground when s = 0, then we need to solve:
s = 0 = -16*(t)^2 + 1028
Solving that for t, w eget:
16*t^2 = 1028
t^2 = 1028/16
t = √(1028/16) = 8
This means that the coin will hit the ground after 8 seconds.
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I’m struggling on this, and I need help??
Answer:
b
Step-by-step explanation:
consider the value of t such that the area to the left of −|t|−|t| plus the area to the right of |t||t| equals 0.10.1.
We want to find the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.1.
That is level of significance (α) = two-tail area = 0.1
what is a level of significance in research?
The significance stage (also called kind I mistakes rate or the extent of statistical importance) refers back to the chance of rejecting a null hypothesis that is in truth true. This amount stages from 0 (0.0) to at least one (1.zero) and is generally denoted through the Greek letter alpha (a).
What are the three levels of significance?
commonplace importance stages are 0.10 (1 risk in 10), 0.05 (1 risk in 20), and zero.01 (1 hazard in one hundred). The result of a speculation check, as has been seen, is that the null hypothesis is both rejected or now not.
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Ross is buying pecans and cashews at the supermarket. There is a proportional relationship between the weight of the nuts and the cost.
This table shows the cost of pecans:
Pecans
Weight (pounds) Cost
0.5 $5
1.5 $15
4 $40
This equation describes the cost of cashews, where y represents the cost in dollars and x represents the weight in pounds:
y=9.35x
Which nuts have a higher unit price?
How much more do those nuts cost?
$
more per pound
The nut that has the higher unit price is pecans.
The pecans cost $0.65 more than cashews.
Which nut cost more?Looking at the table of the cost of pecan, it can be seen that the cost of pecan increase by $10 for every 1 pound increase in weight.
Cost of one pound of pecan : $5 / 0.5 = $10
A linear function is a function that has one dependent variable and one independent variable. A linear function represents a straight line on a coordinate plane.
A linear function has the form: a + bx
Where:
a = constant b = independent variabley = 9.35x
Cost of one pound of cashew : 9.35 x 1 = $9.35
Difference in cost = $10 - $9.35 = $0.65
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State whether the slopes would represent parallel lines, perpendicular lines, or neither.
-4 and 1/4
8 and -8
7 and 17
2 and 2
Answer:
neither
Step-by-step explanation:
i am goung to assume that the quarter really is just a quarter unit on the y-axis
Answer:
The line with a slope of [tex](-4)[/tex] is perpendicular to the line with a slope of [tex](1/4)[/tex] since the product of the two slopes is [tex](-1)[/tex].
Slope of [tex]8[/tex] and slope of [tex](-8)[/tex]: neither parallel nor perpendicular.
Slope of [tex]7[/tex] and slope of [tex]17[/tex]: neither parallel nor perpendicular.
The line with a slope of [tex]2[/tex] is parallel to the other line of slope [tex]2\![/tex] since the two lines have the same slope.
Step-by-step explanation:
Two lines in a cartesian plane are parallel to one another if and only if their slopes are equal. Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex].
For example, a line with a slope of [tex]m[/tex] is parallel to another line of the same slope, [tex]m\![/tex].
Since [tex](-m)\, (1/m) = -1[/tex], a line with a slope of [tex](-m)[/tex] would be perpendicular to a line of slope [tex](1/m)[/tex].
Round 1.496 to the place value of the underlined digit.
Rounding off the given decimal to the nearest hundredth, tenth and ones place are 1.50, 1.5 and 2 respectively.
The given decimal number is 1.496.
We need to round off the given decimal number.
How to round off the decimal number?There are some basic rules that need to be followed for rounding numbers.
We first need to know what our rounding digit is. This digit is the one that will ultimately be affected.After this, we need to check the digit to the right of this place which will decide the fate of the rounding digit.If the digit to the right is less than 5, we do not change the rounding digit. However, all the digits to the right of the rounding digit are changed to 0.If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and all the digits to the right of the rounding digit are changed to 0.Now, rounding off 1.496 to the hundredth place is 1.50
Rounding off 1.496 to the tenth place is 1.5
Rounding off 1.496 to the ones place is 2
Therefore, rounding off the given decimal to the nearest hundredth, tenth and ones place are 1.50, 1.5 and 2 respectively.
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed. How long was each descent by 88 meters?
Choose 1 answer:
44
11
10
8
From the given linear function, it is found that each descent by 88 meters was 11 seconds long.
What is the missing information?
The graph of the linear function is missing, and it is given at the end of the answer.
A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points on the graph, the slope is given by change in y divided by change in x. For this problem, the points are given as follows:
(0, 440) and (40,0).
Hence the slope is:
m = (0 - 440)/(40 - 0) = -11.
Meaning that in each minute, he descended 8 meters. Thus the time to descend 88 meters is given by:
t = 88/8 = 11 seconds.
Each descent by 88 meters was 11 seconds long.
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“simplify the expression 14.4+(- 8.2)” need help
Answer:
6.2
Step-by-step explanation:
Convert the equation to absolute value
[tex]14.4\pm-8.2[/tex]
Simplify
[tex]\\14.4-8.2\\6.2[/tex]
answer please !!!!!!!
Answer: 32, but I'm not sure
Step-by-step explanation:
Bill has twice as much money as Bob. Paul has $12 more than Bill. Together they have $92. How much money does Bob have?
Answer:
$16
Step-by-step explanation:
Let x = how much money Bob has. (x)
Bob has twice as much money as Bob. (2x)
Paul has $12 more than Bill. (2x+12)
To find out how much money Bob has, we can add our expressions for each person and set them equal to 92.
x + 2x + 2x + 12 = 92
To simplify this equation, we first need to find the like terms and add them.
1x + 2x + 2x = 5x
5x + 12 = 92
Now that we have done that, we can find how much money Bob has by solving for x. First, we subtract 12 on both sides of the equation.
5x + 12 - 12 = 92 - 12
5x = 80
Then we divided by 5 on both sides of the equation.
5x/5 = 80/5
x = 16
Since x = 16, we know that Bob has 16 dollars.
1/4 divided by 2 3/8
Answer:
2/19
Step-by-step explanation:
Rewrite the mixed number as an improper fraction. Frist, multiply 2x8 then add that to 3 to get 19/8. Now you have 1/4 / 19/8. Multiply by the reciprocal of the denominator. Now you have 1/4 x 8/19. 1 x 8 = 8. 4 × 19= 76. This gives you 8/76. You can simplify this by dividing the numerator and denominator by 4. This would give you 2/19.
Mary typed 546 words in 13 minutes. julie typed 602 words in 14 minutes. who can type more words per minute? how much faster is that person?
Answer:
Julie, by one word per minute.
Step-by-step explanation:
Marie can type 42 words per minute, because 546/13 is 42. Julie can type 43 words per minute, because 602/14 is 43. Therefore, Julia is faster by one words.