Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
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Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;
[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]
Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
Hence the width of the rectangle is 14 inches.
I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/
Answer:
28 weeks
Step-by-step explanation:
It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.
1. $42 x 3 = $126
2. $126/$4.5 = 28
3. The answer is Sharon has been saving her allowance for 28 weeks.
Hope this helps!
-Jerc
Answer:
She has been saving her money up for 28 weeks.
Step-by-step explanation:
1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126
2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.
The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5
120
60
20
180
Yousuf needs 7 4/9 yards of fabric to make blanket for his mom for Mother’s Day. He found 3 1/3 yards of pink fabric. How much more does he need to finish the blanket
A. 4 1/9
B. 10 7/9
C. 4 3/9
D. 10 1/9
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.
Answer:
2
Step-by-step explanation:
I think
Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.
The average rate of change of the function over the interval 2 < x < 10 is 5
How to determine the average rate?The function is given as:
h(x) = x^2 - 7x + 8
Calculate h(2) and h(10)
h(2) = 2^2 - 7 * 2 + 8
h(2) = -2
h(10) = 10^2 - 7 * 10 + 8
h(10) = 38
The average rate is then calculated as:
Rate = (h(10) - h(2))/(10 - 2)
This gives
Rate = (38 + 2)/(10 - 2)
Evaluate
Rate = 5
Hence, the average rate of change of the function over the interval 2 < x < 10 is 5
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If an angle measuring 18 ° is bisected to form two new angles , what is the measure of each new angle ?
Answer:
9 degrees
Step-by-step explanation:
18/2=9
34(8x – 6) – 2 = 12 – x
Answer:
sorry for my handwriting
i think this is the correct answer
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answer:
Brand A ($2) is more expensive than Brand B ($1.50) (see below)
Step-by-step explanation:
First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.
Using the slope formula:
y2 — y1
m = ---------------
x2 — x1
Plug in any two points from both lines:
y2 — y1
m = --------------- = graph 1 (0, 0), (1,2)
x2 — x1
2 — 0
m = ---------------
1 — 0
2
m = --------------- = $2/m
1
_______graph 2_______
y2 — y1
m = --------------- = graph 2 (0, 0), (4, 6)
x2 — x1
6 — 0
m = ---------------
4 — 0
6 3
m = --------------- = ----------- = $3/2 m
4 2
Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:
$3 = $x
2m = 1m
Cross multiply:
3 (1) = 2x
3 = 2x
x = (3 ÷ 2)
x = 1.5
So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.
9(r) = -1 - 77
Evaluate function
g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Complete question is;
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Answer:
σ = 1.77
Step-by-step explanation:
We are told that 70% stated that they plan to graduate with a STEM degree.
This means that probability of success is; p = 70% = 0.7
A sample of 15 female college students were randomly selected, this means that number of trials is;
n = 15
Now,in binomial distribution formula for standard deviation is;
σ = √(np(1 - p))
Plugging in the relevant values, we have;
σ = √(15 × 0.7 × (1 - 0.7))
σ = √(15 × 0.7 × 0.3)
σ = √3.15
σ ≈ 1.77
variation does not depend on that of another.
#6 THE SOLUTION FOR F(X) = 3X + 2 WHEN F(X) IS 2 IS
Answer:
0
*see below incase you worded it wrong
Step-by-step explanation:
then we substitute 2 for f(x)
2 = 3x + 2
0 = 3x
x = 0
UNLESS you mean f(2) is what then that is:
f(2) = 3(2) + 2 = 8
hope that helps!
12-14 plzzz if u see the picture
Answer:
I can't see it very well sorry
Find the value of x. 4^3 = x
Answer:
x=64
Step-by-step explanation:
Which order pairs are solutions to the equation 4x+2y=4
Answer:
Slope=2.000/4.000
−2.000x−intercept= 22
=1y−intercept= 12
=2.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(4)=0
Pull out like factors :
4x + 2y - 4 = 2 • (2x + y - 2)
Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve 2x+y-2 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 2/1 = 2.00000
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 2/2 = 1
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.000 - 2.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Imagining that she’s taking a summer job working at a local entertainment complex your hourly wage is six dollars you will work 40 hours per week and be paid every other week for a total of 16 weeks use the figure provided estimate your gross pay for the summer and each pay period
Which functions are symmetric with respect to the origin?
y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx
Answer:
y=arcsinx and y=arctanx
Step-by-step explanation:
The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.
The diagram is given below.
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f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answer:
f(g(x))=6x-8
Step-by-step explanation:
To keep it simple lets say if , for example
[tex]f(x)=2x-4[/tex]
then f(2) would be what?
[tex]f(2)=2(2)-4\\f(2)=0[/tex]
which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you
[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]
now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).
[tex]f(g(x))=-2(-3x+2)-4[/tex]
[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]
so that is our final answer.
Hope i helped
What is the determinant of A=
3
1
11
-1
-14 is the Determinant of given matrices A.
What is the determinant?A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).
Given a Mtrix A:
3 1
11 -1
The formula for the determinant of a matrix:
The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.
In our case,
Determinants of A = (3 * -1 ) - (1 * 11)
Determinants of A = -3 -11
Determinants of A = -14
Therefore, the Determinant of given matrices A is -14.
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Complete question:
What is the determinant of
A= 3 1
11 -1
Due today HELP PLEASEEEEE!!!
Answer:
Oiiiiio ka cha thik cha
Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.69 each month. If they need a total of $214.53 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?
A.25.82
B.103.07
C.77.46
D.168.84
Answer:
A. 25.82
Step-by-step explanation:
(3*Tim)+(3*tom)=214.53
(3*45.69)+(3*tom)=214.53
137.07+(3*tom)=214.53
-137.07+(3*tom)=214.53-137.07
3*tom=77.46
tom/3=77.46/3
tom=25.82
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
A. Which form of the null and alternative hypotheses most appropriate for this situation.
B. Comment on the conclusion when H0 cannot be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
C. Comment on the conclusion when H0 can be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
Answer:
A) Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume
Step-by-step explanation:
A) We are told that the mean sales volume is 14 automobiles per month.
The hypotheses is defined as follows;
Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.
Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?
How many quarts does a 100 liter tank hold?
Answer: 84.535 Quartas.
Step-by-step explanation:
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
8 X (10 – 3)?
Yes
No
If yes, fill in the blanks below.
8 x (10 - 3) = ( , ) - ( , )
Answer:
Yes
80-24
Step-by-step explanation:
Using distributive property, multiply 8 by 10 and 8 by negative 3.
Help me three questions please really easy I promise answer
Answer:
1.y=-2x+7
2. no
3.yes
Step-by-step explanation:
А At a concessan stand l hot dog and one hamburger cost $4.One hotdog and
5
Hamburgers cost $13
Find the cost of one hot dog and the cost of one hamburger ?
Answer:
2.25
Step-by-step explanation:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO
Answer:
fwe
Step-by-step explanation:
Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?
Answer:
Caleb must deliver at least 11 packages a day
P=11