Simplify (3x^6y^4)(-4x^2y^3)
1: -x^8y^7
2: -12x^12y^12
3: -12x^8y^7
4: -12x^8y^12
Answers
Hello!
(3x⁶y⁴)(-4x²y³)
= -12x⁶y⁴x²y³
= -12x⁸y⁷
Related Questions
If a = b + c and c ___ 0, then a > b.
Choose the relationship symbol that makes a true statement.
=
<
>
Answers
To make the expression If a = b + c and c ___ 0, then a > b right, c will be c > 0.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be number, variable, or combination of both.
Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.
Now,
The correct relationship symbol that makes the statement true is ">" (greater than).
If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.
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given x = 2^p and y = 2^q, express in terms of x and/or y
I) 2^p+q
II) 2^2p
III) 2^q-1
Answers
Answer:
|||)2^ (p + q) = 2^p • 2^q because you'd add the exponents, so xy2^ 2q = 2^(q + q) = 2^q • 2^q as above, so y^22^ (p-1) = 2^p / 2^1 because you subtract exponents when dividing, so x/2If xy = 32 then x = 32/yso 2xy^2 would = 2(32/y)•y^2 = 64y = 32 so y = 1/2making x = 64 since xy = 32so 64 = 2^p; p = 61/2 = 2^q; q = -1A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answers
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
Please help fast please
Answers
Answer:
See image
Step-by-step explanation:
It cant be wrong
Select the correct answer.
Which statement is true about function f, which is shown in the graph?
f(x) = -805 + 413 + 5x
Answers
Answer:
The function is neither even nor odd.
Step-by-step explanation:
A function is odd if:
f(x) = - (f-x)
A function is even if:
f(x) = f(-x)
A function is neither odd nor even if neither of the above two equalities are true, that is to say:
f(x) != f(-x) and f(x) != -f(-x)
Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.
Which statement is not used to prove that ΔFGH is similar to ΔFIJ? triangles FGH and FIJ in which point I is between points F and G on segment FG and point J is between points F and H on segment FH Angle F is congruent to itself, due to the reflexive property. Angles FJI and FHG are congruent, due to the corresponding angles postulate. Points F, J, and H are collinear. Segments JI and HG are parallel.
Answers
Answer:
Points F, J, and H are collinear
Step-by-step explanation:
just took exam
The statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.
We have to find out which statement is wrong regarding ΔFGH is similar to ΔFIJ.
Here the statement points F, J, H are collinear are not used to prove the similarity of both triangle because if these three points are collinear than there is no triangle possible and when there is no triangle than how we prove similar to them.
So when F,J and H are collinear than we can't prove similar to both the triangles.
But in all the other points we can prove the similarity of both the triangles.
Hence the statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.
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Which of the functions below indicates a graph that has been vertically shifted by 3 units?
O y = = 3 log (2)
Oy log (3x)
Оy log (x + 3)
Оy= log (x) + 3
Answers
The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.
Which function has been shifted by 3 units?It follows from the task content that the graph which has been shifted vertically is to be identified.
For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.
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A gum ball machine has 22 red 18 white 10 blue and 23 green. What chances of pulling out a red
Answers
Step-by-step explanation:
Total gum balls = 22 + 18 + 10 + 23 = 73
Probability of red gum = 22/73
Rotate rectangle ABCD 90 degrees clockwise about the origin. What are the new coordinates?
Answers
Answer:
A=(-2,-2) B=(-2,-6) D=-5,-2 C=(-5,-6)
Step-by-step explanation:
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 8x − x^2, y = 12; about x = 2
Answers
By answering the presented question, we may conclude that Therefore, cylinder the volume generated by rotating the region bounded by \(y = 8x - x^2, y = 12\) about x = 2 is 128π/3 cubic units.
what is cylinder?The cylinder, which is frequently a three-dimensional solid, is one of the most fundamental curved geometric shapes. In elementary geometry, it is referred to as a prism with a circle as its basis. A cylinder is also defined as an infinitely curved surface in several modern domains of geometry and topology. A "cylinder" is a three-dimensional object made up of curved surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure with two identical circles as bases linked by a curving surface at the cylinder's height, which is defined by the distance between the bases from the centre. Cold beverage cans and toilet paper wicks are examples of cylinders.
We can see that the region is bounded by the parabola \(y = 8x - x^2\) and the horizontal line y = 12. It is rotated about the vertical line x = 2.
\(h(x) = 12 - (8x - x^2)\)
The radius of the cylindrical shell is the distance from the axis of rotation (x = 2) to the x-value of the slice, which is r(x) = x - 2.
The circumference of the cylindrical shell is 2πr(x), and the thickness is dx. Therefore, the volume of the cylindrical shell at x is:
dV = 2πr(x)h(x)dx
= 2π\((x - 2)(12 - (8x - x^2))dx\)
To find the total volume, we integrate dV from x = 0 to x = 4 (the limits of the region):
V = ∫₀⁴ 2π\((x - 2)(12 - (8x - x^2))dx\)
= ∫₀⁴ 2π\((-x^3 + 12x^2 - 40x + 48)dx\)
= 2π[-¼\(x^4 + 4x^3 - 20x^2 + 48x\)] from 0 to 4
= 2π(64/3)
= 128π/3
Therefore, the volume generated by rotating the region bounded by \(y = 8x - x^2, y = 12\) about x = 2 is 128π/3 cubic units.
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Simplify 16 - 8 + 5x- 3x
8+8 x
10 x
8 + 2 x
16 + 2 x
Answers
Answer:
8 + 2x
Step-by-step explanation:
To simplify this expression, combine like terms.
16 - 8 = 8
5x - 3x = 2x
8 + 2x
hope this helps :)
Answer:
Because of the x between the 5 and 3 u have to put them in a bracket form or group like terms. After that u subtract the 16 from 8 and the 5x from the 3x so the answer will be equal to 8 +2x because 16-8=8 and 5x-3x=2x so it will be 8+2x
A rectangular plot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its area in square kilometers? Show your reasoning
Answers
Answer:
0.028 square kilometers
Step-by-step explanation:
The formula for area in a rectangle is base times height (also known as length times width). Therefore, the area of the rectangular plot of land is 0.4 * 0.07 which is 0.028.
Hope this helps :)
Answer:
0.028
Step-by-step explanation:
yeahhh idek allat more in depth one below me
During a sale, a store offered a 30% discount on a couch that originally sold for $870. After the sale, the discounted price of the couch was marked up by 30%. What was the price of the couch after the markup? Round to the nearest cent.
Answers
The price of the couch after the markup gotten during a sale, a store offered a 30% discount on a couch that originally sold for $870 is $791.70.
How can the price of the couch after the markup be calaculated?The concept that will be used here is the discounted price . The discount is represented in the advertisement as a percentage off the list price. As a result, a sale price of $70 will be achieved with a 30% discount on a $100 list price. Another way to understand the phrase is to say that it simply refers to the selling price of an item.
The price of the couch after the markup can be determine as :
$870 * (1 + 30% ) * (1 - 30% )
Then this can be simplifIed as :
= $870 *1.3 * 0.7
=$ 791.7
Then Rounding up to the nearest cent will give $ 791.70
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Does the line appear to be a line of
symmetry of the triangle? Explain.
Please and thank you
Answers
Answer:
No, the two sides are not congruent.
I flipped my whole laptop around to check loll
Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?
Answers
Answer:
There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.
Step-by-step explanation:
Line A passes through the points (6, 1) and (-4, 6). Line B passes through the points (14, 3) and
(-10, -9).
Which statement is true?
Line A does not intersect line B.
Line A overlaps line B.
Line A intersects line B at exactly one point.
PLSSS HELPPP QUICKK
Answers
Answer:
Line A does not intersect line B.
Step-by-step explanation:
line A comes close, but does not touch, intersect, or overlap line A. hope this helps, please correct me if i am wrong.
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
Answers
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Write 0.000000624 in scientific notation
Answers
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
Question 14 of 40
In the rectangle below, AC = 36 units. What is DE?
с
E
A
B
o
A. 24
B. 18
ОО
C. 12
O
D. 36
SUBMIT
Р.
to
Answers
Answer:
B. 18
Step-by-step explanation:
Quadrilateral ABCD is a rectangle.
Diagonals AC and BD intersect at point E.
Diagonals of a rectangle are equal in length.
\(\implies BD = AC\)
Diagonals of a rectangle bisect each other.
\(\implies\frac{1}{2} BD = \frac{1}{2} AC\\\\\implies DE = \frac{1}{2} \times 36\\ \\ \implies DE = 18\)
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
Answers
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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The difference between the roots of the equation 2x^2-5x+c=0 is 0.25. Find c.
Answers
ZX and XY are supplementaryIf the measure of ZY = 57° what is the measure of ZX ?
Answers
Explanation
Step 1
Two Angles are Supplementary when they add up to 180 degrees
hence,as ZX and ZY are supplementary
\(ZX\text{ +ZY=180}\rightarrow equation(1)\)also,angle ZY is 57
\(ZY=57\rightarrow equation(2)\)Step 2
solve the equations.
a) replace ZY from equation (2) into equation (1)
\(\begin{gathered} ZX\text{ +ZY=180}\rightarrow equation(1) \\ ZX\text{ +57=180} \\ \text{subtract 57 in both sides} \\ ZX\text{ +57-57=180-}57 \\ ZX=123 \end{gathered}\)therefore, the answer is
\(ZX=123\)I hope this helps you
Solve for the specified variable:
18. A = nr2 for r
v2
19. P = — for v
R
Answers
Answer:
use the app photomath
Step-by-step explanation:
davey read 58 pages on saturday and p pages on
Answers
The value of p is 15
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
3x-2y>2. can someone please help me.. i hate math
Answers
The inequality is graphed and attached
How to make inequality graphsThere are some points that help in interpreting inequality graphs.
the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.
3x - 2 > y
y < 3x - 2
for x = -4
y < 3 * -4 - 2 = -14
for x = 0
y < 3 * 0 - 2 = -2
for x = 4
y < 3 * 4 - 2 = 10
table of values
x y
-4 -14
0 -2
4 10
y < 3x - 2 is the equation
Then use of dashed lines of dashed lines or solid lines
dashed lines means there is no equality sign in the inequality > OR < hence used for the problem
solid line means there is equality in the inequality ≤ OR ≥
Another part is the shaded portion
shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line
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The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answers
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
There are 10 girls in an athletics club.
e ratio of girls to boys is 5:3.
w many boys are there?
Answers
Answer:
6Step-by-step explanation:
There are 10 girls in an athletics club.
e ratio of girls to boys is 5:3.
w many boys are there?
we can solve with an equation
10 : x = 5 : 3
x = 10 * 3 : 5
x = 30 : 5
x = 6
---------------
1/4z+8=12
Please answer!!!!
Answers
+
32
=
48
=16
+
3
2
=
4
8
z
+
32
−
32
=
48
−
32
+
3
2
−
3
2
=
4
8
−
3
2
Does 15 20 25 form a right triangle?
Answers
Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be represented by 6, 8, 10, 15, 20, and 25, among countless other numbers.
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Input the Pythagorean Theorem with the given numbers:
c^2 = a^2 + b^2
25^2 = 15^2 + 20^2
625 = 225 + 400
625 = 625
Yes, the numbers 15, 20 and 25 form a right triangle and the Pythagorean triple.
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Give y intercepts and x intercepts as shown
Answers
Answer:
x-intercept (-3;0) and (1;0)
y-intercept (0;1)