Answer:
c=1 and c=3
Step-by-step explanation:
If x>0 and y>0, then
\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.
9x
8
50x
6
y
3
=
9x
2
25⋅2y
2
⋅y
=
3x
5y
2y
.
If
\dfrac{5y\sqrt{2y}}{3x}
3x
5y
2y
is equal to
\dfrac{5y^c\sqrt{2y}}{dx},
dx
5y
c
2y
,
then
\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}
y=y
c
⇒c=1,
3x=dx⇒d=3.
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
Answer:
a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000
Answer:
answers in photo / +explanation
Step-by-step explanation:
a)
length: x+2
width/breadth: x-1
b)
length: 4m
width/breadth: 1m
area: 4m²
c)
R1000
7x + 2y = −12
3x + 4y = −24
Answer:
x= 0 , y= 6
Step-by-step explanation:
multiplying 1st equation by 2 and subracting equation 2nd from 1st
14x + 4y = -24
- ( 3x + 4y) = - (-24)
11x = 0
so, x=0
keep x=0 in equation 2nd
3*0 + 4y = -24
y = -24 / 4
so , y = 6
Howard sells used helicopters, and he receives a 3% commission on all that he sells. If Howard received $42,000 in commissions last year, how many dollars worth of used helicopters did he Sell?
The worth of helicopter sold is $1,400,000
How to determine the total sales?The given parameters are:
Commission = 3% of salesCommission = $42,000This means that:
3% of sales = $42,000
Divide both sides by 3%
Sales = $1,400,000
Hence, the worth of helicopter sold is $1,400,000
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PLS HELP NEED THIS ASAP
The probability that the dog that's selected will weigh less than 30 pounds will be 55%.
How to calculate probability?From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:
= 1 - 45%
= 55%
The probability that it weighs more than 30 pound given that it has long fur will be 27%.
The events are independent since the occurence of one doesn't affect the other one.
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In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4, with a standard deviation of 2.3.
(a) What response represents the 86th percentile? (Round to two decimal places as needed).
(b) What response represents the 55th percentile? (Round to two decimal places as needed).
(c) What response represents the first quartile? (Round to two decimal places as needed).
The response that represents the 86th percentile is 7.884
The response that represents the 55th percentile is 5.69
The response that represents the first percentile 3.85
How to solve for the 86th percentilemean = 5.4
sd = 2.3
p(X>x) = 0.86
find the value of z using the NORMSINV function in excel with a probability of 0.86
z = 1.080
x = mean + sd*z
= 5.4 + 2.3 * 1.080
= 7.88
How to solve for the 55th percentilemean = 5.4
sd = 2.3
p(X>x) = 0.55
find the value of z using the NORMSINV function in excel with a probability of 0.55
z = 0.1257
x = mean + sd*z
= 5.4 + 2.3 * 0.1257
= 5.69
c. The first quartile is 25%
z = -0.6745
5.4 + 2.3 * -0.6745
= 5.4-1.551
= 3.85
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The average cost of tuition plus room and board for a small private liberal arts college is reported to be $9,500 per term, but a financial administrator believes that the average cost is higher. a study conducted using 350 small liberal arts colleges showed that the average cost per term is $9,845. the population standard deviation is $1,200. let α = 0.05. what is the p-value for this test?
what types of angles are in these quadrilaterals iready level d
Based on the quadrilaterals given, the types of angles that we see are Acute and Obtuse.
Which angles are shown in these quadrilaterals?Acute angles are those that are less than 90° and these are shown in the trapezium quadrilateral.
Obtuse angles are higher than 90° and so are drawn outwards as seen in the parallelogram.
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Solve the system of equations.
Answer:
The answer is the third bullet. (number 3)
Given that the measure of ∠x is 66°, and the measure of ∠y is 66°, find the measure of ∠z
Answer:
48
Step-by-step explanation:
66*2=132
180-132=48
Hope this helps!
If not, I am sorry.
2. Draw a diagram to show that 5(x + 2) = 5x + 10.
Step-by-step explanation:
5(x+2)
1. Distributive property
2. Multiply
(5*x) + (5*2)
(5x)+(10)
Remove parenthesis
5x+10 ;
Therefore, 5(x+2) = 5x+10
Hopefully this helps! :3
may i have help with this
Answer: D. 7^11
Step-by-step explanation:
For exponents with the same base, we just add the exponents and keep the same base. 7 is the same base; therefore 5+6=11 which means the answer is 7^11
Need help with the question
Answer:
y = 3
Step-by-step explanation:
given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 57 when x = 19 , then
57 = 19k ( divide both sides by 19 )
3 = k
y = 3x ← equation of variation
when x = 1 , then
y = 3 × 1 = 3
These tables represent a quadratic function with a vertex at (6, 8). Which is the average rate of change for the interval from x = 13 to x = 14?
The average rate of a function is 81 if a quadratic function with a vertex at (6, 8).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Quadratic function with a vertex at (6, 8).
It is required to find the average rate of the function:
Here the data table is not given, so we are assuming the value of a function:
At x = 13 is 196
f(13) = 144
At x = 14 is 225
f(14) = 225
The average rate of a function:
= [f(14) - f(13)]/(14 - 13)
= [225 - 144]/(1)
= 81
Thus, the average rate of a function is 81 if a quadratic function with a vertex at (6, 8).
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An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?
Answer: Hope this helps you!
6th floor
Step-by-step explanation:
If it starts on the 9th floor and goes down 7 floors that is:
9 (9 floors) + -7 (down 7 floors)
which is also equal to 9-7
9-7 = 2
Next, we need to go up by 4 floors starting with 2, 2+4
2+4 = 6
Brainliest?
Which of the expressions are equivalent to the one below? (5x1)-7
Answer:
-2
Step-by-step explanation:
[tex](5 \times 1) - 7 \\ 5 - 7 \\ - 2[/tex]
how do u turn decimals into fractions
Answer:
place the decimal number over its place value
Step-by-step explanation:
For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10
Answer:
Step-by-step explanation:
Decimal to fraction: Write the decimal number with denominator 1Now , multiply the numerator and the denominator by 10 for every number after the decimal point.SimplifyExample:
4.52
[tex]4.52 =\dfrac{4.52}{1}[/tex]
In 4.52, there are two decimal places. So multiply the numerator and denominator by 100
[tex]\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}[/tex]
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.
What is the constant speed of Fast Freddy?
1/4
What is the constant speed of Speedy Sam?
Who ran faster?
The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute
The complete questionThe question is incomplete as the graphs and the tables are missing.
However, the points given in the question can be used to represent the graph and the table
The slopes of the graph and the table?By interpreting the points, we have:
Graph
(x, y) = (0, 0) and (4, 1)
Table
x y
4 0.5
20 2.5
32 4
The slope is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
Graph: [tex]m = \frac{1 -0}{4 -0} = 0.25[/tex]
Table: [tex]m = \frac{4 -2.5}{32 -20} = 0.125[/tex]
Their constant speedsFreddy's speed is represented by the graph, while Sam's speed is represented by the table
Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute
Who ran faster?Freddy ran faster because 0.25 is greater than 0.125
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Answer:
1. Freddy ran a speed of 1/4 miles
2. Sam ran a speed of 1/8 miles
3. Freddy ran faster
Step-by-step explanation:
Your welcome :)
flash is the best show to ever exist
please help with math
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.
.✎let's answer it :3
question ⇩
✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.
answer ➡ 1.24 incheshope it helps
correct me if I am wrong
by #galadohannadivine2913 - r < 82
PLA I NEED THIS
Answer:
r > -69
Step-by-step explanation:
13 - r < 82
subtract 13 from both sides
13 - r - 13 < 82 - 13
- r < 69
to flip the inequality sign, multiply both side by -1 to make r positive:
- r (-1) < 69 (-1)
r > -69
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
13-r<82
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, we need to isolate r (get r by itself). What I Mean by that is
We need to get r by itself on one side of the inequality.
So it should look something like this:-
r<___
So r is all by itself.
How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-
[tex]\longmapsto\bf{-r < 82-13[/tex]
Simplifying,
[tex]\longmapsto\bf{-r < 69}[/tex]
Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.
So we do the opposite operation and divide both sides by -1:-
(watch what happens)
[tex]\longmapsto\bf{r > -69}[/tex]
The inequality sign changed from "less than" to "greater than".
This happened because we divided by a negative number on both sides.
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
the diagram is not drawn to scale!!
pls
Answer:
135°
Step-by-step explanation:
That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :
the base angle of this triangle (x) will be :
180 = 90 + 2x
90 = 2x
x= 45
Angles on a straight line add up to 180. So to work out a :
180 = 45 + a
135 = a
Hope this helped and brainliest please
Question
What expression represents the area of the square?
(3x-2)^2
squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power
Y’all pls help I’m gunna cry
-8x - 5y = 12
8x - y = 12
Which of the following best describes /JKL?
32°
L
K
The best statement that describes the angle JKL is inscribed angle.
What is an inscribed angle?An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.
The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.
The angle ∠JKL is not a vertical angle because it's not vertically opposite any angle.
The angle ∠JKL is not a central angle because it was not from from the centre of the circle.
The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.
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what is the solution to the equation 1/5n=3
a n=8
b n=15
c n=25
d n=125
Answer:
[tex]\huge\boxed{\sf n = 15}[/tex]
Step-by-step explanation:
Given Equation:[tex]\displaystyle \frac{1}{5} n = 3\\\\Multiply \ 5 \ to \ both \ sides\\\\n = 3 \times 5\\\\n = 15\\\\\rule[225]{225}{2}[/tex]
How many lines of symmetry does this figure have?
1
2
4
3
The number of lines of symmetry for the given figure will be 4.
What is symmetry?Symmetry is described in geometry as a balanced and proportionate likeness between two halves of an object.
As we know that similarity is defined as when the image is divided into two halves and one portion is completely overlapped by the other.
So in the given figure, the figure can be divided into two halves by drawing four lines along with the arrows and along with the corners. In all cases, the two halves overlap with the other.
Therefore the number of lines of symmetry for the given figure will be 4.
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What method can be used?
Answer:
'''
Step-by-step explanation:
Describe how you would simplify the given expression.
(20x^5y^2/5x^-3y^7)^-3
Answer:
hope you can understand
Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag
Answer:
there are 75 colors of each candy
Step-by-step explanation:
300÷4=75