Answer:
To simplify the given polynomial,
\(6q^3\mleft(q^2-2q+6\mright)\)we know that,
\(a^n\times a^m=a^{n+m}\)using this property we get,
\(6q^3\mleft(q^2-2q+6\mright)=6q^{3+2}-12q^{3+1}+36q^3\)\(=6q^5-12q^4+36q^3\)Answer is:
\(=6q^5-12q^4+36q^3\)whats the slope in y=−5−12x.?
Answer:
-12
Step-by-step explanation:
Answer:
m=-12 is the slope
Step-by-step explanation:
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x - 4y=9
Answer choices:
• (5/2, 4/3)
• ( 4/3, 5/2)
• ( 7/3 , -7/2)
• (-5/2 , -7/2)
The solution of Equation are (5/2, 4/3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+5y=14..........(1)
6x - 4y=9..............(2)
Solving equation (1) and (2) we get
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
and, 6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
From the graph we get
x = 2.405
y= 1.375
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What is 4 times of 2 1/2
Answer:
10
Step-by-step explanation:
Change the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
Multiply:
4 x 2.5 = 10
10 is your answer.
~
HELP PLEASE 25 POINTS
Answer:
5kg > 4500g
1000mL = 1L
3L > 2700mL
a cubical house can hold 4096 cm3 of air find the height of the house
Answer:
The height is 16
Step-by-step explanation:
Given
Shape: Cube
\(Volume = 4096cm^3\)
Required:
Determine the height of the house.
Volume is represented as:
\(Volume = L^3\)
Make L the subject
\(L = \sqrt[3]{Volume}\)
This gives:
\(L = \sqrt[3]{4096}\)
\(L= 16\)
The height is 16
Solve the equation. 10g + 8 = 14g
Hello there! :)
\(\huge\boxed{g = 2}\)
10g + 8 = 14g
Subtract 10g from both sides:
10g - 10g + 8 = 14g - 10g
8 = 4g
Divide both sides by 4:
8/4 = 4g/4
g = 2.
Hey there!
\(Answer:\boxed{g=2}\)
\(Explanation:\)
\(10g+8=14g\)
In our first step, we will subtract 14g from both sides of the equation.
\(10g+8-14g=14g-14g\\-4g+8=0\)
Now we will have to subtract 8 from both sides of the equation.
\(-4g+8-8=0-8\\-4g=-8\)
In our third/final step, we will divide both sides by -4.
\(\frac{-4g}{-4}=\frac{-8}{-4} \\g=2\)
\(\boxed{g=2}\text{ is your answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
Find the median for the numbers Below
20 22 24 26
The median is going to be 23.
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
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Which choice correctly shows the line y =
2x+3?
А
B
HN
N
1-3 -2 -1 1 2 3 4
-1
NH
-4 -3 -2 -1
1 2 3 4
D
c
2
1
1-3-2-1
1
2 3 4
-4 -3 -2
1 2 3
-1
-2
what is the answer to 4x - 6 ≥ 6x - 20
Answer: x ≤ 7
Step-by-step explanation:
Answer:
x\(\leq\)7
Step-by-step explanation:
4x-6\(\geq\)6x-20
First get x on one side.
So substract 6x on each side to get:
4x-6x-6\(\geq\)-20
Then add 6 on each side to get:
4x-6x\(\geq\)-14
Simplify.
-2x\(\geq\)-14
Divide each side by -2 to get x alone.
*Remember that when dividing by a negative sign is fliped.
x\(\leq\)-14/-2
Simplify.
x\(\leq\)7
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270 degrees
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft
37.7 ft
12 ft
9.4 ft
The area of the sector is 37.7 ft.
What is sector:
A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.
The formula for the area of a sector is given by
A = (θ/360)πr²Where θ is the central angle in degrees, and r is the radius of the circle
Here we have
A circle has a radius of 4 ft.
The central angle of sector formed = 270°
Using the formula, Area of sector = (θ/360°) × π r²
Area of the given sector = [ 270/360] × 3.14 × (4)²
= [0.75 ] × [50.24]
= 37.68 ft
= 37.7 ft
Therefore,
The area of the sector is 37.7 ft.
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I need help some plz answer give out point!
Answer:
Kiwis because there are 12 and cost less then nectarienes
Step-by-step explanation:
hope this helps pls give me brainliest
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Three animals left 24 tracks in the mud. Half the tracks were made by either a dog or a fox. A deer made 4 tracks fewer than the dog and 4 tracks more than the fox. How many tracks did each animal leave?
The deer made 8 tracks, the fox made 4 tracks, and the dog made 12 tracks.
How to find the number of tracks each animal madeLet's start by defining variables for the number of tracks made by each animal.
Let:
d be the number of tracks made by the deer,
f be the number of tracks made by the fox, and
x be the number of tracks made by the dog
From the problem, we know that:
d + f + x = 24 ......(1)
We also know that:
d = x - 4 .......(2)
d = f + 4 ..........(3)
from this we can rightfully assume that the dog made half the tracks hence
x = 12 tracks
d = 12 - 4 = 8
solving for f
d = f + 4
f = d - 4 = 8 - 4 = 4
we can therefore say that the dog made 12 tracks, the deer made 8 tracks while the fox made 4 tracks
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The pre image shown above is dilated by a scale factor of 1/2 about the center (1,-5). What is the location of the point C?
with scaling factor = 1/2 ,
the coordinate location of the dilated posit C is ( 2,-3)
NEED HELP ASAP (GET GOOD POINTS)
Answer:
3 degrees in 1 hour
Step-by-step explanation:
.75 degrees
-----------------
1/4 hours
Multiply the top and bottom by 4
.75 degrees *4
-----------------
1/4 hours*4
3 degrees
------------------
1 hour
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer. 64m 86m
To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.
The area of the field is equal to 8719.36m^2
Area of the FieldLet us start by finding the area of the rectangle.
Data;
width = 86mlength = 64mArea of a rectangle is given as
\(a = length * width \\a = 86 * 64\\a = 5504m^2\\\)
The area of the rectangle is 5504m^2
Area of the semicircle
The formula of a semi circle is given as
\(A = \frac{1}{2} \pi r^2\)
But since we have two semi circles here, we can simply multiply it by two and the formula becomes
\(A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2\)
But in the question, we have the diameter of the semi circle as the length of the rectangle.
\(radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m\)
The radius of the semicircle is 32m
Area of the semicircle is
\(A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2\)
The area of the field is
\(area of field = 3215.36 + 5504\\area = 8719.36m^2\)
The area of the field is equal to 8719.36m^2
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Type the correct answer in each box. Use pi = 3.14 and, if necessary, round your answers to the nearest hundredth.
The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4:1.
cm. The radius of the sphere is __cm. The circumference of the sphere is about
____cm^2. The volume of the sphere is about ____
cm^3
Answer:
Radius of sphere is 2.
Circumstance is 12.57 cm2.
And volume is 33.52 cm2
HELP ME PLEASE!!!!!!!!!
Answer: 6
Step-by-step explanation:
Answer:
6cm
Step-by-step explanation:
22-16=6cm
CA is a subsection of AB and we already have CB which is the remaining length if we cut off CA, therefore if we subtract CB from AB we get CA.
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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6x + y = 8
y= -6x + 8
Answer:
y = -6x + 8
Step-by-step explanation:
\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}
I don't know why it came out like this
Find the measure of ∠GJK. (I need the answer as fast as possible)
Answer:
∠ GJK = 102°
Step-by-step explanation:
(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so
2x + 92 + 3x + 63 = 180
5x + 155 = 180 ( subtract 155 from both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Then
∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°
three sidewalks in a schoolyard form a triangle. explain how the expression 1/2(40)(30) + 1/2(40)(20) represents the area inside the three sidewalks.
The given expression 1/2(40)(30) + 1/2(40)(20) is equal to the area inside the three sidewalks. So, It shows the area inside the three sidewalks.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the figure,
Height of the triangle = 40 feet
Base of the triangle = 30 + 20
= 50 feet
Now,
The expression is,
⇒ 1/2(40)(30) + 1/2(40)(20)
⇒ 1/2 (40) ( 30 + 20 )
⇒ 1/2 (40) (50)
⇒ 1,000
And, By the figure,
The area inside the three sidewalks = 1/2 x Height x Base
= 1/2 (40) (50)
= 1,000
Thus, The given expression 1/2(40)(30) + 1/2(40)(20) is equal to the area inside the three sidewalks. So, It shows the area inside the three sidewalks.
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The complete question is shown in figure.
i’m having trouble with this can someone please help me?!
Answer:
b) 3770m2
Step-by-step explanation:
its what i got semi closest to that answer. sorry if you get it wrong.
Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions.
Step-by-step explanation:
Tim made x resolutions.
Harry made five more, x + 5.
Harry and Tim's together was 13.
x + x + 5 = 13
combine like terms.
2x + 5 = 13
subtract 5
2x = 8
divide by 2
x = 4
Tim made 4 resolutions.
Harry made 4 + 5, that is, 9 resolutions.
Check:
Harry and Tim together is 13.
4 + 9 = 13
Harry made 9 resolutions.
A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.
Answer:
As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.
19+m=38
If you want to solve the equation, just subtract 19 from both sides.
19+m=38
m=19
Find the area of the figure if needed round to the nearest tenth isosceles trapezoid
The image of the isosceles trapezoid is missing, so i have attached it.
Answer:
A = 18 Sq.ft
Step-by-step explanation:
From the image attached, it is a trapezium.
Formula for area of a trapezium is;
A = ½(a + b)h
Where;
a and b are the parallel sides
h is height.
From the image attached;
a = 4ft
b = 8 ft
h = 3 ft
Thus;
A = ½(4 + 8)×3
A = ½ × 12 × 3
A = 18 Sq.ft
Given 3 + 7 + 11 + 15 + … find S20
Answer:
Hi
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What is an expression that is equivalent to 5x