The sum (or difference) of 2 terms of the same type is a common stereotype with such a coefficient equal to the sum of the coefficient of two coefficients.
When two algebraic expressions are added (or removed), the same terms are added (or subtracted), and different terms are written as required.
Following are the solution to the given points:
\(1)\ (6x+5)+(-3x+7)=(6x+5-3x+7)= \bold{3x+12}\\\\ 2) (-9x - 13) + (8x+3)= (-9x -13 + 8x+3)= -x-10=\bold{-(x+10)}\\\\3)\ (2x - 8) - (4x- 2)=(2x - 8 - 4x+ 2)= \bold{-2x-6} \\\\4)\ (5x+8)-(6x+2)=(5x+8-6x-2)= \bold{(-x+6)}\\\\5)\ (3x^2 -6x-7) + (-2x^2-4x+ 12)= (3x^2 -6x-7 -2x^2-4x+ 12)= \bold{(x^2 -10x-5)}\\\\\)
\(6)\ (-x^2-5x+8)- (4x^2-7x-10)= (-x^2-5x+8- 4x^2+7x+10)= \bold{(-5x^2+2x+18)} \\\\7) \ (6x^2-3x+10)-(-6x^2+11x+9)=(6x^2-3x+10+6x^2-11x-9)= \bold{(12x^2-14x+1)}\\\\\)
\(8)\ (-13x^3 +15x^2 -12x) +(-x^3- 4x^2 -15x +1)= (-13x^3 +15x^2 -12x -x^3- 4x^2 -15x +1)= \bold{(-14x^3 +11x^2 -27x +1)} \\\\9)\ (7x^3-x+14)-(2x^2-19)= (7x^3-x+14-2x^2+19)= \bold{ (7x^3-2x^2-x+33)}\\\\10) \ (8x-3x^3-5) + (4x^3-6x^2+11)= (8x-3x^3-5 + 4x^3-6x^2+11)= \bold{(x^3 -6x^2+ 8x+6)}\\\\11)\ (-5x -16) - (-3x^3+ 2x^2 +9x)= (-5x -16 +3x^3- 2x^2 -9x)= \bold{(3x^3-2x^2-14x-16)}\\\)Learn more:
brainly.com/question/11227332
Rewrite the expression in the form k x y^n
Answer:
\(4*y^{1/7}\)
Step-by-step explanation:
Given
\(\frac{8y^{2} }{2\sqrt[4]{y} }\)
it can be written as we
=\(\frac{8y^{2} }{2*y^{1/4} }\)
= \(\frac{4y^{2} }{y^{1/4} }\)
= \(4y^{2-1/4}\)
= \(4y^{1/7}\)
Therefore the given solution is in the form of k * y^n
The six grade class at Kennedy middle school participated in a fundraiser each day they raise twice as much as the day before on the first day they race $24 how much money did they raise over all five days of the fundraiser
Answer: E. $744
Step-by-step explanation:
Think of all 5 days and the previous day doubled
So
24
48
96
192
384
All together is $744.
The probability of buying a movie ticket with a popcorn coupon is 0.717. If you buy 21 movie tickets, what is the probabilitythat exactly 14 of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary.)
When a ticket is bought, there are 2 outcomes. It's either it comes with a popcorn or not. These outcomes are independent. This means that it is a binomial distribution. We would apply the binomial ditribution formula which is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n is the number of trials
x is the number of successess
p is the probability of success
q is the probability of failure
A success in this case is the outcome of buying a ticket that has popcorn coupons. Thus,
p = 0.717
q = 1 - p = 1 - 0.717 = 0.283
n = 21
x = 14
We want to find P(x = 14)
Thus,
P(x = 14) = 21C14 * 0.717^14 * 0.283^(21 - 14)
P(x = 14) = 116280 0* 0.717^14 * 0.2837
P(x = 14) = 0.160
the probabilitythat exactly 14 of the tickets have popcorn coupons is 0.160)
A certain rectangular tarp covers 200 square meters. Its width is 20
meters. How long is the tarp?
Answer:
10 meters
Step-by-step explanation:
You want the length of a 200 square meter tarp that has a width of 20 meters.
AreaThe area of a rectangle is given by ...
A = LW
ApplicationFilling in known values, we have ...
200 m² = L · (20 m)
L = (200 m²)/(20 m) = 10 m . . . . . . . divide by the coefficient of L
The tarp is 10 meters long.
#95141404393
what is the surface area of a right triangular prism with a height of 20 units and a base with legs of length 3 united and 4 united and a hypotenuse of length 5 units
The surface area of the right triangular prism is 312 square units.To find the surface area of a right triangular prism, we need to calculate the area of each face and then sum them up.
A right triangular prism has three rectangular faces and two triangular faces. Given the dimensions: Height (h) = 20 units, Legs of the base (a, b) = 3 units, 4 units, Hypotenuse of the base (c) = 5 units. Let's calculate the surface area: Area of the triangular face: The area of a triangle can be calculated using the formula: A = (1/2) * base * height. For the triangular face with legs of length 3 units and 4 units, the area is: A_triangular = (1/2) * 3 * 4 = 6 square units.
Since there are two triangular faces, the total area for the triangular faces is: Total area of triangular faces = 2 * A triangular = 2 * 6 = 12 square units. Area of the rectangular faces: The area of a rectangle is calculated as: A = length * width. For the rectangular faces, the length is the height of the prism (20 units), and the width is the base's hypotenuse (5 units). Since there are three rectangular faces, the total area for the rectangular faces is: Total area of rectangular faces = 3 * (20 * 5) = 300 square units.
Total surface area: The total surface area is the sum of the areas of all faces: Total surface area = Total area of triangular faces + Total area of rectangular faces. Total surface area = 12 + 300 = 312 square units.. Therefore, the surface area of the right triangular prism is 312 square units.
To learn more about hypotenuse, click here: brainly.com/question/30512440
#SPJ11
Frank is drawing a treasure map using a scale of 1 cm to 10 m. He wants to show that the treasure is buried 40 meters from a tree. How many centimeters should he show for this distance on the map?
Answer:
4 cm.
Step-by-step explanation:
If 1cm = 10m, the increments of which you would draw the map would be directly proportional.
40m/10m = 4
4×1 = 4
Therefore, the answer is 4 cm.
Which of the following statements about the scatter plot and the line of best fit are accurate? Select all that apply.
Answer:
- There are more points above the line than below
- This is not a line of best fit
Step-by-step explanation:
If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.
Help me with this please!!!
Answer:
600
Step-by-step explanation:
Note that 600 is exactly half way between 400 and 800, and conclude therefore that 600 is the midpoint.
A lineshaft runs at 360 rpm. A 18 inches pulley on the same shaft is belt connected to a 12 inches pulley on the counter shaft. From a 15 inches pulley on the counter shaft, motion is transmitted to the machine. Compute and check the required diameter of the pulley on the machine to give a spindle speed of 660 rpm. Select the correct response: 16 inches 10.5 inches 8.5 inches None of them
To solve the given problem, you must first identify the ratios of the pulleys. The ratio of a pulley is the relationship between its own diameter and that of another pulley.The formula for finding the ratio is.
D1/D2 = N1/N2Where:
D1 = diameter of pulley 1D2
= diameter of pulley 2N1
= speed of pulley 1N2
= speed of pulley 2A lineshaft runs at 360 rpm. An 18 inches pulley on the same shaft is belt connected to a 12 inches pulley on the counter shaft. Therefore, the ratio of the pulleys on the line shaft to those on the counter shaft are:18/12 = 3/2This means that for every three revolutions of the 18 inches pulley, the 12 inches pulley will rotate twice or vice versa.
The motion is transmitted to the machine via a 15 inches pulley on the counter shaft. From the given problem, the spindle speed on the machine should be 660 rpm. To find the diameter of the pulley on the machine, use the formula:D1/D2 = N1/N218/12
= N1/660660*18/12
= N1N1
= 990 rpmTherefore, the ratio of the pulley on the counter shaft to that on the machine is:15/D2
= 990/660D2
= 10.0 inchesThe required diameter of the pulley on the machine is 10 inches. Therefore, the correct response is 10.5 inches. Answer: 10.5 inches.
To know more about formula visit:
https://brainly.com/question/20748250
#SPJ11
Please answer both questions, thanks!
Answer: your welcome lol
Step-by-step explanation:
Help pleaseeee!!!!!!
A circle of radius 2units and it's centre at(3,1). Find the equation of the circle in expended form
\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)
Can someone please help with this question?
Absolute value and piecewise function explanation tooo plz
Because of the "x-5" in the absolute value, the pieces will separate at x=5, because that's where x-5 = 0.
(This knocks out answer #1, 3, and 4)
To confirm option #2 is correct:
If you pick a number greater than 5, the absolute value doesn't do anything, so
if x > 5, a(x) = (x-5) + 1
If you pick a number less than 5, "x-5" is negative and the absolute value gives you the opposite of that value:
if x < 5, a(x) = - (x-5) +1
The answer is the second option.
If w = reyz then wzyx at at (5, -1,1) equals = 0 e (a) (b) (c) (d) (e) -e-1 не e 1
We enter the given numbers into the expression for wzyx in order to determine the value of wzyx at the location (5, -1, 1).
Let's first rebuild the wzyx equation using the supplied values:
The equation is: wzyx = reyz = r * (-1) * (1) * (5)
Given the coordinates (5, -1, 1), we may enter these values into the expression as follows:
Wzyx is equal to r * (-1) * (1) * (5), or -5r.
Wzyx thus has a value of -5r at the coordinates (5, -1, 1).
We are unable to precisely calculate the value of wzyx at the specified place without knowledge of the value of r. As a result, the question cannot be answered using the information given.
learn more about location here :
https://brainly.com/question/14134437
#SPJ11
Round 3.457 to
the tenths place.
Answer:
3.5
Step-by-step explanation:
If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.
Love, gocry
solve the following equation
80=5k
Answer:
K=16
Step-by-step explanation:
divide 80 by 5 and get ur answer
Solve for t: t - 2 = 10
Question 3 options:
t = 2
t = 8
t = 10
t = 12
Answer: t=12
Step-by-step explanation:
t-2=10
add 2 to both sides of the equation
t=12
Write the numbers in order from greatest to least.
0.115, 0.15, 0.005, 0.5
Answer:
0.5, 0.15, 0.115, 0.005
Step-by-step explanation:
A number can be written from the greatest to the and the lowest to the highest when given a series of number. This series of number can be in mixed fraction forms, improper fraction or decimal. When a number is said to be written from the greatest to the lowest, it is called descending order but from the lowest to the greatest it is called ascending order.
From the list of the series of the decimal numbers given, writing the numbers in order from the greatest to the least number will choose the form:
0.5, 0.15, 0.115, 0.005
Ethan planted a tree that was 1.85 meters tall. several years later the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown?
Answers:
1.85 + 5.30 = x
1.85 + x = 5.30
1.85x = 5.30
1.85 (5.30) = x
Answer:
\(\huge\boxed{\sf 1.85 + x = 5.30}\)
Step-by-step explanation:
The number of meters the tree has grown = x
Tree at start = 1.85 m
Tree after several years = 5.30 m
So,
1.85 + x = 5.30\(\rule[225]{225}{2}\)
Type the missing number in this sequence:
-28, -20, -12, -4, 4
Answer:
-28, -20, -12, -4, 4, 12, 20, 28, 36
Step-by-step explanation:
The sequence adds 8 every number
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answer:
what are the choices?? if you don't mind me asking
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-9x = 16 - y
12x = -5 - y
Answer:
Step-by-step explanation:
-9x + y = 16
12x + y = -5
12x + y = -5
9x - y = -16
21x = -21
x = -1
9 + y = 16
y = 7
(-1,7)
Find the area of the trapezoid
Answer:
A = 7.5 units^2
Step-by-step explanation:
A = (a+b)/2 * h
A and B are both bases of the trapezoid (top and bottom)
H is the height
A is 1
B is 4
H is 3
Plug that into the trapezoid equation and we get
(1+4)/2 * 3 = 7.5 units ^2
Help me stuck on this for a while (points available)
Answer:
8
Step-by-step explanation:
Reverse the steps and reverse the operations (divide to multiply, add to subtract)
Multiply 6 by 2 to get 12 and subtract 4 to get 8
hi! i was wondering if i could have some help and maybe someone do 2 and another do 2 idk but thank u sm
Answer:
1) 5 2) 7 3) 9 4) 8
Step-by-step explanation:
you add and subtract the numbers, for example, number 1, the total is 9 and it shows 4 so 5. Or 3, K to I is 3 and 11 (the total) minus 3 equals 8, plus the 1 so 9. Hope this helps! Have a good day! :)
If it costs $5.25 for a 1 pound 3 ounces of beef, how much will it cost for 8 pounds?
PLZZZ ANSWER QUICK! I HAVE NO IDEA HOW TO DO THIS!!
Answer:
$35.84
Step-by-step explanation:
1 lb = 16 oz
16 + 3 = 19
5.25/19 = $0.28 per oz
16 x 8 = 128
128 x 0.28 = 35.84
Out of 32 cards, Mookie guessed the color correctly 18 times. What would this be as a decimal? ((Type in 4 digits after the decimal))
Answer:
0.5625
Step-by-step explanation:
18/32=0.5625
Write a word problem whose solution is (-70)=70.
PLEASE ANSWER QUICKLY THIS IS IMPORTANT!!!!!!!!!!!!!!!!!
Ans i trued
Step-by-step explanation:
9. Jackie is an airline mechanic. Her company pays \( 40 \% \) of the \( \$ 3,900 \) annual cost of group health insurance. How much does she pay for it monthly? (4 points)
Jackie pays $130 monthly for her group health insurance.
To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.
First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.
To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.
Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.
Learn more about annual payment here:
https://brainly.com/question/29484283
#SPJ11