Answer:
The greatest common factor is [tex]5pq^2[/tex].
Step-by-step explanation:
The given expressions are [tex]25p^2q^3[/tex], [tex]15p^2q^2[/tex] and [tex]35pq^4[/tex].
Greatest common factor of two numbers is the greatest number that divides both numbers completely.
Find factors of each expression.
[tex]25p^2q^3=5\times 5\times p\times p\times q\times q\times q[/tex]
[tex]15p^2q^2=3\times 5\times p\times p\times q\times q[/tex]
[tex]35pq^4=5\times 7\times p\times q\times q\times q\times q[/tex]
The common factors are 5,p,q and q. So, the greatest common factor of given expressions is
[tex]G.C.F.=5\times p\times q\times q[/tex]
[tex]G.C.F.=5pq^2[/tex]
Therefore the greatest common factor is [tex]5pq^2[/tex].
Easy Algebra 2 Rational Expressions question
Your friend is looking at laptops for college, and is comparing the different screen sizes. Use the diagram and formula below to find the width of the laptop screen. Round your answer
D= W^2+H^2
(The image of the figure is a rectangle in half, the top side is D= 17inch the H= 9inch, W is blank)
Mutiple choices are
A. W= 16.7 inch
B. W= 9.9 inch
C. W= 8 inch
D. W= 14.4 inch
Answer:
The Answer is 14.4inch for Apex!
Step-by-step explanation:
PLEASE HELP!!!
A park charges $15 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $25 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Ellipses have symmetry through only their major axis?
True or False?
I think false. They have them through both major and minor.,
Please help with this.
Quadrilateral ABCD is inscribed in circle O.
What is m∠C ?
Enter your answer in the box.
A company developed the following linear model to help budget annual expenses over time. In this model, x represents the number of years after 2009, and y represents the expense budget (in dollars). Interpret the y-intercept. y = 189,785 + 37,896x
A. The company's expense budget for 2009 was $189,785.
B. The company's expense budget for 2008 was $37,896.
C. The company's expense budget for 2009 was $37,896.
D. The company's expense budget for 2008 was $189,785.
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.
The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.
What does (p⋅c)(2) mean about the horse-drawn carriage tour company?
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.
Answer:
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
We have,
The function representing the price charged by the customers is [tex]c(x)=50+5x[/tex].
The function representing the number of customers is [tex]p(x)=100-2x[/tex].
Then, the product of the functions is given by,
[tex](p\times c)(x)=p(x)\times c(x)\\\\(p\times c)(x)=(100-2x)(50+5x)\\\\(p\times c)(x)=-10x^2+400x+5000[/tex]
Substituting x = 2 in the above product gives,
[tex](p\times c)(2)=-10\times 2^2+400\times 2+5000\\\\(p\times c)(2)=-40+800+5000\\\\(p\times c)(2)=\$ 5760[/tex]
Also, the charge per customer when x = 2 is,
[tex]c(x)=50+5x\\\\c(x)=50+5\times 2\\\\c(x)=50+10\\\\c(x)=\$ 60[/tex]
Hence, the product (p-c)(2) represents,
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?
Total Number of sheets of construction paper= 25
The Percent of the sheets of construction paper that are secondary color = 40%
Percent means out of 100.To find number of secondary color sheet we find 40% of 25.
40%=[tex] \frac{40}{100} [/tex]
Number of sheets which are of secondary color=[tex] \frac{40}{100} of 25 =\frac{1000}{100} =10 [/tex]
Number of secondary color sheets =10.
One gallon of paint covers 200 square feet. How many gallon are needed to paint a rectangular floor that is 60 feet by 40 feet
Consider the diagram.
The congruence theorem that can be used to prove △LON ≅ △LMN is
SSS.
ASA.
SAS.
HL.
We have been given an diagram and we are asked to find the congruence theorem that can be used to prove △LON ≅ △LMN.
We can see from our diagram that side LO of △LON equals to side LM of △LMN. We can also see that side ON △LON of equals to side MN of △LMN. Side LN equals to itself.
We can see that three sides of triangle LON are congruent to three sides of triangle LMN. Therefore, by SSS (Side-Side-Side) congruence △LON ≅ △LMN.
Currently, the highest tax bracket in united state is____.
A. 1%
B. 10%
C. 0%
D. 35%
Answer:
35%
Step-by-step explanation:
What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm2 of sheet metal? Sketch the hexagon, dimension the side length on the sketch to 0.1 cm, and indicate your grid spacing. Justify your dimension.
The side length to create a regular hexagonal plate is 3.6 cm. Using the GeoGebra graph to create the sketch where 1 unit = 0.1cm.
The side length of a regular hexagon.
The side length of a regular hexagon can be calculated by using the formula:
[tex]Area=\dfrac{3\sqrt{3}}{2}\times S^2[/tex]
where; S = side length[tex]S=\sqrt{\dfrac{2 \times Area }{3\sqrt{3}}[/tex]
Given that the area is 33 cm²
[tex]S=\sqrt{\dfrac{2 \times 33 }{3\sqrt{3}}[/tex]
Side length (S) = 3. 56 cm
Therefore, the side length to create a regular hexagonal plate is 3.6 cm. See below for the sketch of the hexagon where 1/2 unit = 0.1cm.
help help help me
please
In need of some help please.
If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?
The rule (x,y) →(x + 7, y - 10) represents a translation
7 units left and 10 units up
7 units right and 10 units down
7 units right and 10 units up
7 units left and 10 units down
The sum of two numbers is 13, the difference is 4. What are the numbers?
Please Help!
starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years
The number of members after six years is 1600.
We have given that,
starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years.
What is the formula for exponential growth?
[tex]A=P(1+r)^t[/tex]
A=Amount
P=initial amount
r=rate
t=time
now, we know they're doubling every year, so the rate of growth is 100%, so whatever amount, + 100% is just double that much, therefore
[tex]A=25(1+1)^6\\A=25(2)^6\\A=1600[/tex]
Therefore we get the number of members after six years is 1600.
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PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
A few years ago, a total of 2682 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 276 thousand more residents that Las Vegas. What was the population of each metropolitan area? 50 POINTS
Please, could anyone help????
please explain it and how to it.......
BRAINLIEST WILL BE GIVEN TO CORRECT
A bowling ball leaves a bowler's hand. An accelerometer inside the ball reads zero. Which of the following best describes what happens to the ball?
A. The ball speeds up.
B. The ball moves at a constant speed.
C. The ball curves toward the gutter.
D. The ball slows down.
Not quite sure what this means :( Thanks!! @perl :)
What equation is equivalent to 9^(x-3)=729?
Answer:
Next one is six
Step-by-step explanation:
Im doing the assignment rn, it always seems about halfway through an edge course brainly users lose braincells because they keep saying next one is 81.333
A 36-foot long fence is placed around a square garden. What is the length of one side of the garden? (1 point)
4 feet
6 feet
9 feet
12 feet
A circle has a radius of 12.6 cm.
What is the exact length of an arc formed by a central angle measuring 120°?
Enter your answer in the box. Express your answer using π .
AC←→ is tangent to the circle with center at B.
The measure of ∠ACB is 71°.
What is the measure of ∠ABC?
Enter your answer in the box.
m∠ABC = __ °
Answer: The value of m∠ABC = 19 °
Step-by-step explanation:
Since we have given that
AC is tangent to the circle with center at B.
The measure of ∠ACB = 71°
And we know that "Radius is the shortest distance from the center to the tangent".
So, Radius is always perpendicular to the tangent.
So, the measure of ∠BAC = 90°
Consider, ΔABC, we get that
[tex]\angle ABC+\angle BAC+\angle ACB=180^\circ\\\\\angle ABC+90^\circ+71^\circ=180^\circ\\\\\angle ABC=180^\circ-90^\circ-71^\circ\\\\\angle ABC=19^\circ[/tex]
Hence, the value of m∠ABC = 19 °
Which of the following in equalities matches the graph?
A)-2x+3y>7
B)2x-3y<7
C)-3x+2y >7
D)3x+2y<7
If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?
If a Play Station was bought for $450 after a 10% discount. Therefore, The original price of the Play Station was $500.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
It is given that If it was bought after a 10% discount, means it was bought at 90% of the original price:
90% = $450
1% = $5
100% = $5 x 100
100% = $500
Therefore, The original price of the Play Station was $500.
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In the rhombus, what are m angle 1, m angle 2, and m angle 3? The diagram is not drawn to scale.
Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?
Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?
The answer is series 6 certificate.
The series 6 certificate helps an individual to purchase or sell mutual funds, variable life insurance, municipal fund securities, variable annuities and unit investment trusts.
Answer:
The answer is option B - series 6 certificate.
Step-by-step explanation: