Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only
Answer: B and C only
Step-by-step explanation:
The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees
Initial temperature = 0
Temperature rise = 4
Fall in temperature = - 4
(Initial temperature + rise in temperature + fall in temperature)
Summing all : (0 + 4 - 4) = 0
carbon atom has 6 negatively charged electrons and 6 positively charged protons.
Net charge of atom :
(number of proton + number of electrons)
( 6 + (-6)) = 0
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Number of bricks is calculated as follows;
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert ft^2 to in^2
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.
Answer:
30slicesStep-by-step explanation:
given data
cost of pizza $7.5
cost of delivery=$14
let the the number of pizza be p
let the total cost of x pizza be y
the expression for the total cost of x pizza is
y=7.5+14p
given that y=$60
60=7.5+14p
solving for x we have
14p=60-7.5
14p=52.5
p=52.5/14
p=3.75
therefore the total slices is
3.75*8= 30slices
if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spend?
Answer:
her mom spent 11 dollars
Step-by-step explanation:
20-9 is 11
Answer:
Her mom spent $11
Step-by-step explanation:
$20-9= $11
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?
Answer:
About 9 kilometers
Step-by-step explanation:
15x.6= 9
Answer: x = 9
Step-by-step explanation:
I’ll use x as the number of kilometers Emma bikes
1/0.6 = 15/x - set up proportion
1x = 9 cross products
x = 9 - divide both sides by 1 and you get 9
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5
Answer:
5
Step-by-step explanation:
It's the opposite of the sign. So you just add a negative if positive and a positive if negative.
Ex.
-20 = 20
14 = -14
how do i find the area of a triangle
Answer:
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.
Step-by-step explanation:
Reorder the steps to construct Angle JOB, a copy of Angle A.
__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28
Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?
Answer: 19 weeks.
Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.
Answer:
19 weeks
Step-by-step explanation:
600=25x+125
x=19
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
Rewrite the expression using a single, positive exponent: 9^3/9^9
Answer:
9⁻⁶
Step-by-step explanation:
When you're dividing, you subtract the exponents. So, 3-9=-6.
The expression 9³ / 9⁹ can be written as 9⁻⁶.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 9³ / 9⁹. The expression can be solved as below:-
E = 9³ / 9⁹
E = 9³ x 9⁻⁹
E = 9³⁻⁹
E = 9⁻⁶
Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.
To know more about an expression follow
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describe the shape of the cross section formed by the intersection of the plane and the solid
Answer:
What are the Answers?
Step-by-step explanation:
Rectangle is the shape of the cross section formed by the intersection of the plane and the solid.
If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.
The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.
The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.
To learn more on Three dimensional figure click:
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Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?
Answer:
9 command Cards
Step-by-step explanation:
If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99
Answer:
Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.
Step-by-step explanation:
3x-5=x+1
Helpppppppppppp
Answer:
your answer is x= 3
Hope this helps!
Determine whether the pair of lines is parallel, perpendicular, or neither.
x - 4y = -9
y = 6x - 7
Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
Ashley and her sisters decide to split the cost of dinner, which is $26. By how much you will each sisters bank account be impacted
Answer:
$13.00 per person
Step-by-step explanation: you divide $26 by 2
8p+5=-6p+1 what's the answer to this equation?
Answer:
-2/7
Step-by-step explanation:
Simplify the expression
16+(-3)-3/7j-5/7j+4
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
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Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
can someone help please
Answer:
Tissue
Step-by-step explanation:
Forgive me if I'm wrong but I'm 90 percent sure I'm not.
Happy almost Halloween!!
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer:
son $23.345 creo que si espero que si sea
If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1
Answer:
h(-5) = 10
Step-by-step explanation:
h(x) = -4x - 10
Let x = -5
h(-5) = -4*-5 - 10
= 20 -10
= 10
PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))
TY
Answer:
nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank
Step-by-step explanation: