Answer:
6x²y(9 - 2y)
Step-by-step explanation:
Step 1: Factor out GCF
6(9x²y - 2x²y²)
Step 2: Factor out x²
6x²(9y - 2y²)
Step 3: Factor out y
6x²y(9 - 2y)
And we have our factored answer.
Answer:
[tex] 6x^2y(9 - 2y) [/tex]
Step-by-step explanation:
[tex] 54x^2y - 12x^2y^2 = [/tex]
The GCF of 54 and 12 is 6.
The GCF of x^2 and x^2 is x^2.
The GCF of y and y^2 is y.
We factor out each GCF above.
[tex] = 6x^2y(9 - 2y) [/tex]
. I sent fifteen parcels of oranges to a school. What was the total weight of the parcels if each weighed 10 1/2 kg?
Answer:
157.5
Step-by-step explanation:
15 x 10 1/2 kg = 157.5
jane just took out $135 from her checking account. if jane has a balance of 650$ in her account, how much did jane have in the account before she took out money? Step 3 solve the equation and write your answer in sentence form
Step-by-step explanation:
Jane had 785 dollars in her checking account before jane took out 135 dollars.
Answer:
$785
Step-by-step explanation:
We know she has $650 and she took out $135, so lets add them together.
650+135
=785
therefor Jane had a total of $785 in her checking account before she made any transactions that day.
Hope this helps, :)
A ball is hit vertically upwards from a cliff, which is 80 m above the sea. The displacement
from the edge of the cliff, s, measured upwards in metres, after t seconds is given by
S = 300 - 5t2. Calculate:
a the time it takes for the ball to land in the sea
b the time it takes to reach the highest point
c the total distance travelled during the motion.
Answer:
a) 8 seconds
b) 3 seconds
c) 170 meters
Step-by-step explanation:
a) When the ball lands in the sea, s = -80.
-80 = 30t − 5t²
5t² − 30t − 80 = 0
t² − 6t − 16 = 0
(t + 2) (t − 8) = 0
t = -2 or 8
t = 8 seconds
b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).
t = -b / (2a)
t = -30 / (2 × -5)
t = 3 seconds
c) The highest point is:
s = 30(3) − 5(3)²
s = 45
So the ball rises 45 meters, falls 45 meters, then falls 80 meters.
The total distance traveled is 45 + 45 + 80 = 170 meters.
PLEASE I NEED HELPP !!
The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent Side AB is equal to side DC, and DB is the side common to triangles ABD and CDB. Therefore, the triangles ABD and
CDB are congruent by SAS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of vertical angles that are congruent. Therefore, AD is
parallel and equal to BC Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel
Which statement best describes a flaw in the students proof?
O Triangles ABD and BCD are congruent by the SSS postulate instead of the SAS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SAS postulate.
O Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
O Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles
Answer:
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
Step-by-step explanation:
Once it is stated that the triangles ABD and CDB are congruent by SAS postulate, it is concluded that, by CPCTC, angles DBC and BDA are congruent because they are corresponding angles.
Answer:
the person above is correct
Step-by-step explanation:
What is the solution to the equation 1.25 + r = 4? r = 2.75 r = 3.75 r = 5.25 r = 5.75
Answer:
r = 2.75
Step-by-step explanation:
1.25 + r = 4
Subtract 1.25 on both sides.
1.25 + r - 1.25 = 4 - 1.25
r = 4 - 1.25
r = 2.75
The solution to the equation is r = 2.75.
Answer:
r= 2.75
Step-by-step explanation:
In order to find r, you need to make it the subject:
so when you rearrange the equation it will be
r=4-1.25
= 2.75
HELP FOR BRAINLIEST!
Answer:
B.) 7iStep-by-step explanation:
When you take the square root of a negative number such as √(−49) you get an answer of ±7i. The reason is that −49 = −1*49.
Hope this helps!
Answer:
B
Step-by-step explanation:
imaginary number (the number doesn't exist)
all square root has positive number inside the sign, but if the number is negative, we call it imaginary
√-1 = i
so i x i = -1
then
√-49 = √-1 * √49 = i * 7 = 7i
Express each product in the simplest form.
The answer to your question would be wx/6
plz help me i need it today olz answer right
Answer:
Step-by-step explanation: 0.2 seconds
(t^2*T^5+t^3)^2 rewrtite with a single exponent?
Answer: t⁴T¹⁰ + 2t⁵T⁵ + t⁶
Step-by-step explanation:
[tex](t^2T^5+t^3)^2\\\\\\=(t^2T^5)^2+2(t^2T^5t^3)+(t^3)^2\\\\\\=t^4T^{10}+2t^5T^5+t^6[/tex]
This can also be written as:
[tex]t^4(T^{10}+2tT^5+t^2)[/tex]
Which of the following expressions is equal to -3X2-27?
Answer: B
Step-by-step explanation:
-3x^2-9xi+9ix-27
-3x^2-27
The equivalent expression is (-3x+ 9i)(x+ 3i).
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
-3x² - 27
First, (-3x - 9i)(x+ 3i)
= -3x² - 9ix - 9ix -27i²
= -3x² -18i + 27
Second, (-3x+ 9i)(x+ 3i)
= -3x² -9xi + 9ix + 27i²
= -3x² - 27
Third, (-3x+ 3i)( x+ 9i)
= -3x² -27ix + 3ix + 27i²
=-3x² -24ix - 27
Fourth, (-3x - 3i)( x- 9i)
= -3x² - 27ix - 3ix -27i²
= -3x² - 30ix + 27
Hence, the equivalent expression is (-3x+ 9i)(x+ 3i).
Learn more about expression here:
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PLEASE FAST The figure in the center of the net has four congruent sides. What is the best name of the solid that can be formed by this net? square pyramid square prism triangular prism tetrahedron
Answer:
Square pyramid
Step-by-step explanation:
A square pyramid is a pyramid having a square base.If all edges are equal, it is an equilateral square pyramid. Four Congruent sides so it is surely a square pyramid.
Answer:
Square pyramid
Step-by-step explanation
A square pyramid is a pyramid that has a square base. Also, once it has four congruent sides, it is a square in the center of the net.
Answer asap please i don’t understand
Answer:
11x+2y+21 x = 15
2x+3y+6z = -29
13x+9x+2x =22
Step-by-step explanation:
This is an augmented matrix
It is the coefficients of the variables and the last number is the constant
11x+2y+21 x = 15
2x+3y+6z = -29
13x+9x+2x =22
PLEASE HELP ME
A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president.
What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
28
Step-by-step explanation:
The binomial coefficient is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
It means that there are nCx ways to select x elements from a group of n elements.
So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:
[tex]8C6=\frac{8!}{6!(8-6)!}=28[/tex]
Which expression is equivalent to five to the tenth power multiplied by five to the fifth
Answer:
30517578125
Step-by-step explanation:
do u mean multiplying it? if not then plz lmk so i could help
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
1. Doing four slope formulas to show both pairs of opposite sides are parallel.
2. Doing two midpoint formulas to show the diagonals intersect at the same point.
3. Doing two slope formulas and two distance formulas to prove the same pair of opposite sides is congruent and parallel.
4. Doing two distance formulas to show that adjacent sides are not the same length
Answer:
The correct option is 4.
4) Doing two distance formulas to show that adjacent sides are not the same length.
Step-by-step explanation:
Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.
We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.
However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers.
Answer:
6
Step-by-step explanation:
Sum of first 4 numbers= 4*5= 20
This includes 3 + 4th number
Sum of last 4 numbers= 4*8= 32
This includes 4th number + 3
Sum of 7 numbers= 7*(6+4/7)= 46
This includes 3+4th number +3
Number common to both sets= (20+32)- 46 = 6
Points K, L, and M are the midpoints of their respective sides. If LM = 10, determine the length of side YX. answers:
A)
10
B)
15
C)
5
D)
20
Answer:
D) 20
Step-by-step explanation:
Ml║ YK and YM║KL ⇒ YK= ML= 10
ML║KX and XL║KM ⇒ KX= ML=10
YX= YK + KX= 10+10= 20
YX= 20
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer:
7
Step-by-step explanation:
Help I’m trying to get all of my math done that’s due today so please help!
Step-by-step explanation:
X+y =180 (supplementary angles)
X+108=180
X=180 - 108
X=72
Hope this helps.. Good luck
Answer:
∠x =72°
Step-by-step explanation:
Supplementary angles add up to 180°.
180-∠y=∠x
180-108=∠x
72=∠x
hi can anyone tell me the answer
Answer:
146 units
£31.36
Step-by-step explanation:
First 100 units= 24 p/unit
Remainder= 16 p/unit
Units used:
7143- 6997= 146Cost:
146= 100+4624*100+16*(146-100)= 2400+16*46= 2400+ 736= 3136 p= £31.36
Which is the graph of the linear inequality y < 3x + 1?
Answer:
Step-by-step explanation:
The graph for the inequality is attached with the answer.
We have a linear inequality -
y < 3x + 1
We have to plot the graph of this linear inequality.
What is an Inequality?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
y < 3x + 1
Now, in order to plot the graph for this inequality, let -
y = 3x + 1
Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.
Consider the point (0, 0) -
Solve the inequality for the point (0, 0), we get -
0 < 3 x 0 + 1
0 < 1
Which is true.
Hence, shade the complete area on that side of line where the point
(0, 0) lies.
To solve more questions on Plotting inequalities, visit the link below -
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Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?
Answer: a
Step-by-step explanation: they went 4 left and 3 up
Of 500 dogs at a dog show, 30% are male. 2/5 of the male dogs are over the age of 3. How many dogs are male and over 3 years?
Answer: 60 dogs are male and over 3 years out of total 150 male dogs.
Step-by-step explanation:
Total no. of dogs are 500
Males are 500 x 0.3 = 150
Over 3 years are 150 x 2/5 = 60
Answer:
Total number of dogs: 500
Percent that is male: 30
Over the age of 3: 2/ 5
30 % of 500 = 150
MAKE IT INTO A FRACTION
2= 60
5 = 150
60 of the dogs are male and over 3 years.
|4 - 5 + 10| = * what is the value?
Answer:
9
Step-by-step explanation:
|4 - 5 + 10| = |9| = 9
Answer:
* = 9
Step-by-step explanation:
|4 - 5 + 10| = *
| -1 + 10 | = *
| 9 | = *
* = 9
What is the standard form for the quadratic function?
g(x)=(x+1)2−2
g(x)=x2+2x−1
g(x)=x2−3
g(x)=x2−2x−4
g(x)=x2−1
HELP PLEASE!!!!!!
Answer:
the standard form is g(x)=x^2+2x-1
Step-by-step explanation:
How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms
Answer:
0.0762 kilograms
Answer:
0.0762 kilograms
Step-by-step explanation:
4. Trace metals in drinking water affect the flavor, and unusually high concentrations can be haz-
ardous. A study collected water samples from six river locations and measured the concentration
of zinc (in mg/L). Water samples were collected from both the surface water and the bottom
water at each location. Does the data suggest that the true average concentration in the surface
water is different than the concentration in the bottom water? Assume that the zinc concentra-
tions are normally distributed. Using a level of significance of a = 0.05 test the claim that the
concentrations are different. (30 points)
Location
A
C D E F
Zinc on surface
0.411
0.238 0.390 0.410 0.605 0.609
Zinc on bottom 0.430 0.266 0.369 0.531
0.627 0.716
B
Answer:
There isn't enough evidence to suggest that the true average concentration in the surface water is different than the concentration in the bottom water.
Step-by-step explanation:
We want to test if the true average concentration in the surface water is different than the concentration in the bottom water.
For this, we obtain a new distribution that is the difference between zinc concentration at the bottom and at the top for the 6 samples
A B C D E F
Zinc on surface
0.411 0.238 0.390 0.410 0.605 0.609
Zinc on bottom
0.430 0.266 0.369 0.531 0.627 0.716
Difference (zinc at bottom - zinc at surface)
0.019 0.028 -0.021 0.121 0.022 0.107
We can the find the mean of the differences and the standard deviation of the sample of differences
Mean = xbar = (Σx)/N = (0.276/6) = 0.046
Standard deviation = σ = √{[Σ(x - xbar)²]/(N-1)}
We use (N - 1) because this distribution is that of a sample.
x = each variable
xbar = mean = 0.046
N = number of variables = 6
σ = 0.055612948132607 = 0.055613
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.
While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.
For this question, we want to test if the true average concentration in the surface water is different than the concentration in the bottom water.
Hence, the null hypothesis is that there isn't significant evidence to suggest that the true average concentration in the surface water is different than the concentration in the bottom water.
The alternative hypothesis is that there is significant evidence to suggest that the true average concentration in the surface water is different than the concentration in the bottom water.
Mathematically, if the mean of zinc concentration at the surface and the bottom are μ₁ and μ₂ respectively and the mean difference is μ = μ₂ - μ₁
The null hypothesis is represented as
H₀: μ = 0 or μ₂ = μ₁
The alternative hypothesis is represented as
Hₐ: μ ≠ 0 or μ₂ ≠ μ₁
To do this test, we will use the t-distribution because no information on the population standard deviation is known
So, we compute the t-test statistic
t = (x - μ₀)/σₓ
x = mean difference = 0.046
μ₀ = 0
σₓ = standard error = (σ/√n)
σ = 0.055613
n = Sample size = 6
σₓ = (0.055613/√6) = 0.0227
t = (0.046 - 0) ÷ 0.0227
t = 2.026 = 2.03
checking the tables for the p-value of this t-statistic
Degree of freedom = df = n - 1 = 6 - 1 = 5
Significance level = 0.05
The hypothesis test uses a two-tailed condition because we're testing in both directions.
p-value (for t = 2.03, at 0.05 significance level, df = 5, with a two tailed condition) = 0.098613
The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.098613
0.098613 > 0.05
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the true average concentration in the surface water is different than the concentration in the bottom water.
Hope this Helps!!!
Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other electrician works 2 1/2 hours each day. If both work for 5 days, how many hours longer does
the first electrician work than the second electrician?
A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving
Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
1 1/3
Step-by-step explanation:
solve this system of linear equation. separate the x- and y-values with a comma. 15x+4y=-80 5x+5y=1
Answer:
(x, y) = (-404/55, 83/11)
Step-by-step explanation:
15x + 4y = -80
5x + 5y = 1
Multiplying both side of 2nd equation by 3:
=>
15x + 4y = -80
15x + 15y = 3
Subtracting the 1st equation from 2nd equation:
=>
11y = 83
Dividing both sides by 11 to work out y:
=> y = 83/11
Substituting y back into 2nd equation to work out x:
=> 5x + 5(83/11) = 1
=> 5x + 415/11 = 1
=> 5x = 1 - 415/11
=> 5x = -404/11
=> x = (-404/11)/5
=> x = -404/55
=> (x, y) = (-404/55, 83/11)
Hope this helps!