Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
A rake was marked up 25% from an original cost of $8.80. Last Friday, Dean bought the rake and paid an additional 3% in sales tax. What was his total cost?
Answer:
$11.33
Step-by-step explanation:
First I did 8.80 x 0.25 and I got 11. Than I did 11.00 x 0.03 and I got $11.33. The total cost was $11.33
The total cost of the rake is $11.33.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Given that, a rake was marked up 25% from an original cost of $8.80.
25% of the original cost of $8.80 is
0.25×8.80 =$2.2
So the marked up price was 8.80+2.20
= $11
He then paid an additional 3% in sales tax, that is
11 + 0.03×11 = $11.33
Therefore, the total cost of the rake is $11.33.
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What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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A straw has a diameter of 0.6cm and a length of 19.5 cm. What is the surface area of the straw round to the nearest tenth. Use 3.14 for pie
Answer:
37.3032cm^2
Step-by-step explanation:
Given data
Diameter= 0.6cm
Radius= 0.3cm
Lenght = 19.5cm
Surface area (A) =2πrh+2πr^2
Substitute
A=2*3.14*0.3*19.5+2*3.14*0.3^2
A=36.738+0.5652
A=37.3032
Hence the surface area is
37.3032cm^2
What is the probability that the dice shows a 2?
Answer:
1 out of 6
Step-by-step explanation:
there is a 17% chance (this might be worng tho)
Evaluate the function f(x)=4x^2-10+2 find f(-7)
Answer:
188
Step-by-step explanation:
f(x)=4x² - 10+2
f(-7) = 4x² - 10 + 2
= 4(-7)² - 10 + 2
= 4 (49) - 10 + 2
= 196 - 10 + 2
= 188
Can someone please help me
Answer:
Number 1: 1 2/4 or 1 1/2
Number 2: 2 4/6
Number 3: 5/6
Step-by-step explanation:
For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.
Number 1: 2-1=1 and 3/4-1/4=2/4
So you would get 1 2/4.
Number 2: 3-1=2 and 5/6-1/6=4/6
You would get 2 4/6
For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.
The answer will then be 5/6.
(I couldn't solve number 4 because it wasn't visible.)
I hope I helped! Leave a rating and a Thanks below. :D
PLEASE HELP! :(
Suppose that c varies directly with n, and n=8 when c=13. Find n when c=4.
as c and n directly vary it can be said that
[tex]\frac{8}{13} = \frac{n}{4}[/tex]
now we just solve for n
[tex]\frac{8}{13}=\frac{n}{c} \\13n=32\\n=2.46[/tex]
A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 5 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
471.3inches
Step-by-step explanation:
Given data
Diameter= 30in
Radius= D/2= 30/2= 15in
The circumference is the same as the distance covered in one revolution
C= 2πr
Hence the distance covered in 5 revolutions is
C= 2*5*πr
Substitute
C=10*3.142*15
C= 471.3inches
What is the solution to the equation x3 = 16?
The solution of the equation x³ = 16 will be;
⇒ x = 2.519
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ x³ = 16
Now,
Since, The equation is,
⇒ x³ = 16
Solve for x as;
⇒ x = ∛ 16
⇒ x = 2.519
Thus, The solution of the equation is,
⇒ x = 2.519
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The question is in the screenshot.
Vertex:
Axis of Symmetry:
Y-Intercept:
Domain:
Range:
Does it open up or down?
Does it have a max or min?
Roots: ( ) and ( )?
In trail mix, the ratio of cups of
peanuts to cups of chocolate
candies is 3 to 2. How many cups
of chocolate candies would be
needed for 9 cups of peanuts?
A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 27.1 mm for its longest side. What is the measurement of the longest side of the larger triangle?
A. 107.2 mm
B. 107.4 mm
C. 108.2 mm
D. 108.4 mm
Answer:
D. 108.4 mm
Step-by-step explanation:
Since the larger triangle is 4 times of the small triangle...
27.1 x 4 = 108.4 mm
Select the two figures that are similar to each other.
Answer:
Step-by-step explanation:
Its the blue and green rectangles
Answer:
Green and Yellow
Step-by-step explanation:
If you divide the numbers and Area of the yellow one by 2, it becomes the green
The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper-right coordinates are (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis. The rectangle has an area of 121212 square units. Draw the rectangle on the coordinate plane below.
Answer:
See attachment for rectangle
Step-by-step explanation:
Given
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
[tex]Area = 12[/tex]
Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}[/tex]
[tex]AB = \sqrt{(-2)^2 + (0)^2}[/tex]
[tex]AB = \sqrt{4 + 0}[/tex]
[tex]AB = \sqrt{4}[/tex]
[tex]AB = 2[/tex]
The above represents the length of the triangle.
Next, calculate the width using:
[tex]Length * Width = Area[/tex]
[tex]2* Width = 12[/tex]
Divide both sides by 2
[tex]Width = 6[/tex]
This implies that, the width of the rectangle is 6 units.
We have:
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
[tex]C = (-6,0-6)\\[/tex] => [tex]C = (-6,-6)[/tex]
[tex]D = (-4,0-6)[/tex] => [tex]D = (-4,-6)[/tex]
Hence, the points of the rectangle are:
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
[tex]C = (-6,-6)[/tex]
[tex]D = (-4,-6)[/tex]
See attachment for rectangle
Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))
Answer:
— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.
Step-by-step explanation:
Answer:
its not b or a
Step-by-step explanation:
What is the answer please
Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
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please help me out! :)
Answer:
a) A(8,-3), B(4,-3), C(2,5)
b) not sure sry
how many 22 are in 144 ?
Answer:
6.545 recurring
Step-by-step explanation:
we need to use division to answer this question!
144/22 = 6.545 recurring
hope this helped!
-cheesetoasty
can someone explain this?
Abigail runs a 35 mile race. After an hour she has run 20% of the race. How far did Abigail run in an hour?
Answer:
7 miles
Step-by-step explanation:
35 x 0.2 = 7 miles
Answer:
7 mile
Step-by-step explanation:
In 1 hour, Abigail covers 20% of total distance.
In 1 hour, Abigail covers 20% of 35 mile
In 1 hour, Abigail covers (20/100 × 35) = 7 mile
HELP FAST!! IF RIGHT YOU WILL GET BRAINLIST! AND 5 STARS ⭐️
Solve for x.
x - 2(2 - 3/2x)= 2(4-x) + 10
A) -11/3
B) -3/11
C) 11/3
D) 3/11
Answer: The answer is C 11/3
Isolate the variable by dividing each sides by a factors that don't contain the variable.
DONT SEND A LINK TO DOWNLOAD A PIC IN THIS
Is the relation shown a function? Explain.
Answer:
no because there are more than 1 X inputs.
Step-by-step explanation:
Answer:
Nope
Step-by-step explanation:
The relation isn't a function because a function is a relation where each x-value has only one corresponding y-value. Try to put a vertical line through that shape made by the graph to test if it's a function. If it passes through multiple points, it's not a function. For example, if you put the vertical line x=3 in that same graph, it will intersect with the relation at points (3, -3) and (3, 4), and therefore is not a function.
hope this helps, please lmk if im wrong!!!
i need help pls respond
Answer:
The second one
Step-by-step explanation:
This is because it is asking for a budget meaning that you have to spend less or equal to 200
Step-by-step explanation:
You can't spend MORE THAN 200 dollars in cash$200 must be the most you can spend$200 will always be more than m or m will always be less than $200x/3-300=250 Show your work
Answer:
x=1650
Step-by-step explanation:
1650/3=550-300=250
Answer:
x = 1650
Step-by-step explanation:
We are given the equation x/3 - 300 = 250 and are asked to solve for x.
To solve this, we need isolate x, do as followed :
x/3 - 300 = 250
Add 300 to both sides :
x/3 = 550
Multiply 3 to both sides :
x = 1650
Two window washers, Meg and Bert, lean a ladder against the side of a building so that Meg can wash a window while Bert holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 6 meters away from the building. How long is the ladder?
Step-by-step explanation:
we can solve this question using Pythagorean theorem the hypotenuse of the ladder is 8 metres and base of the ladder is 6 metres so height will be..........
Hypotenuse²=Base²+ Height²
8²=6²+H²
64-36=H²
28=H²
7√2=H² Answer
Answer:
10
Step-by-step explanation:
50 POINTS!!!!PLEASE HELP ME IM GONNA CRY I'VE BEEN ASKING FOR A DAY NOW!!! What is the scale factor of two regular pentagons that have areas of 50cm square and 162cm square.
Answer: 25/81 also there is a scale factor calculator online tht you can use ill give you the link if you want it
Step-by-step explanation:
Answer:
25/81
hope It helped please mark brain list
Ian’s favorite part of the pizza is the crust. Which size pizza should they order to get 37.68 inches of crust?
Answer:
extra-large
Step-by-step explanation:
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answer. (ANSWER ISN'T 45.5)
Answer:
45.5
Step-by-step explanation:
First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.
Mr. Cole has $ 200. He keeps 3_4 of the money and divides the remainder equally between his two children. How much money does each child receive?
Answer: [tex]\$25[/tex]
Step-by-step explanation:
Given
Mr. Cole has $200
He keeps three-fourth of money i.e.
[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]
Remaining money is [tex]=200-150=\$50[/tex]
If $50 dollar is distributed among two-child, then each child will get
[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]
