Answer:
Paul can make the diameter of the hole 1 inch greater than that of the ballStep-by-step explanation:
we are going to assume a diameter of the hole has 6in
the radius of the ball is 3in
we looking at a range of the hole greater by (3<4)
we know that the circumference of a circle is given as
the circumference of the ball is
C=2πr
C=2*3.142*3
C=18.85in
The circumference of the hole is ( 1 inch greater )
C=2πr
say the diameter is 6in plus 1in = 7in
the radius =3.5in
C=2*3.142*3.5
C=21.99
compare with the ball the difference is 21.99-18.85
=3.14 which is in the range
The circumference of the hole is ( 2inches greater. )
C=2πr
say the diameter is 6in plus 2in = 8in
the radius =4in
C=2*3.142*4
C=25.13in
compare with the ball the difference is 25.13-18.85
=6.28 which is out of the range
What is the value of (-5) the power of 4
Answer:
625
Step-by-step explanation:
(-5)^4 = 625
Finding the Zeroes of a Quadratic Function
x f(x) = −x2 + x + 6
−2 a
−1 4
0 b
1 6
2 c
a =
b =
c =
Answer:
-2 a
Step-by-step explanation:
Answer: stay steez up twin
Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pounds of peanuts for $7.50. How much is the cost per pound? C. 4 rolls of toilet paper for $2. How much is the cost per roll? D. 10 apples for $3.50. How much is the cost per apple?
Answer: A. Cost per egg = $4 .
B. Cost per pound = $ 2.5
C. Cost per roll = $ 0.5
D. Cost per apple = $0.35
Step-by-step explanation:
Formula: cost per item = (total cost) ÷ (number of items)
A. 12 eggs for $3.
Cost per egg = $ (12÷3) = $4
So, Cost per egg = $4 .
B. 3 pounds of peanuts for $7.50
Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5
So, Cost per pound = $ 2.5
C. 4 rolls of toilet paper for $2.
Cost per roll = $ (2 ÷4 ) = $ 0.5
So, Cost per roll = $ 0.5
D. 10 apples for $3.50.
Cost per apple = $ (3.50 ÷ 10)= $ 0.35
So, Cost per apple = $0.35
Assuming there are no reflections or dilations, explain how you would write the equation of the function whose graph is sketched below.
Answer:
Start with the parent function y= 1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
i just know
The equation of the function shown in the provided graph is [tex]y=\frac{1}{(x+3)^{2} }[/tex].
The parent function is: [tex]f(x)=\frac{1}{x^{2} }[/tex]
How horizontal shifting of the graph takes place?If a function f(x) is shifted horizontally by k units the parent function f(x) becomes f(x+k) where k>0
Since the graph is shifted towards the negative x-axis by 3 units.
So, the parent function f(x) will become f(x+3).
[tex]f(x)=\frac{1}{x^{2} }[/tex]
[tex]f(x+3)=\frac{1}{(x+3)^{2} }[/tex]
So, the equation of the function will be [tex]y=\frac{1}{(x+3)^{2} }[/tex].
Therefore, The equation of the function shown in the provided graph is [tex]y=\frac{1}{(x+3)^{2} }[/tex].
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How many planes pass through three or more vertices of a regular octahedron?
Answer:
The total number of planes = 23 planes
Step-by-step explanation:
The number of planes are give as follows;
The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20
The number of distinct planes that has 4 points in the octahedron = 3
Therefore, the total number of planes are 20 + 3 = 23 planes.
ill make brainllest if right
what is f(x) = -2?
a. 3
b.8
c.4
d.0
Answer:
the answer is a.3!
Step-by-step explanation:
You can find this by finding the value -2 on the graph (x axis) and find what the corresponding y value is! in this case, it is 3.
I hope this helps let me know if you have any questions!
If 7x +10 = 44, what is the vallue of 7x – 50?
Answer:
7x-50 = -16
Step-by-step explanation:
7x + 10 = 44
x = 34/7
7(34/7) - 50 = -16
F (2) =
(please give an explanation i'm confused)
Answer:
I think it would be like f x2 so you would reorder the term and get 2f
Step-by-step explanation:
w=4u + 3
Find the value of w when u=8
Answer:
35 You need to put 8 as w=4(8)+3 then you times 4 and 8 which equals 32 then you are going to add 32 with 3 to get 35
The value of W is 35 if we put u = 8 in the equation W = 4u + 3.
What is an equation?An equation is a mathematical statement in algebra that consists of an equal symbol between two algebraic expressions with the same value.
How to solve this problem?Given that W = 4u + 3.
In order to get the desired value, we have to put u = 8 in this equation.
Then W = 4 × 8 + 3 = 32 + 3 = 35
Therefore, the value of W is 35 if we put u = 8 in the equation W = 4u + 3.
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a 4.5 pound of apples costs $22.50. how many pounds for a dollar?
Answer:
.2 lbs
Step-by-step explanation:
4.5/22.5
0.2 pounds as 4.5 / 22.5 = 0.2
A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?
Answer:
A) Find the square root of 8,100.
Step-by-step explanation:
Answer is above
1400 = 2P x 52 x 7
Find the value of p.
Answer:
The answer is 25/13
Step-by-step explanation:
Answer:
1.923=p If you are rounding you can round to 1.9
Step-by-step explanation:
We must simply get P alone.
1400 = 2p*52*7
First we can multiply the integers
1400 = 2p*364
To get P alone we can divide by 364 on both sides
1400/364 = 2p
3.846 = 2p
Divide by 2 on both sides
3.846/2 = p
1.923 = p
what are the common factors of 24 and 36
a. 1,3,4,9,18
b. 1,2,3,4,6,12
c. 1,2,3,4,6,8,12
d .1,2,4,6,12
Camden paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Camden buy? *
Answer:
he bought 3.5 pounds because 3.28 times 3.5 equals the cost
Step-by-step explanation:
A store has 4 employees that earn 178 dollars altogether if they all earn the same amount how much does each employee earn
Answer:
Each employee earns $44.50
Step-by-step explanation:
When you divide $178 evenly among 4 employees, each will get $44.50.
178÷4= 44.50
Check: 44.5×4= 178
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Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
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A group of workers can plant 56 acres in 7 days what is their rate in acres per day?
6h + 20 is greater than for equal to 100 in a real world problem
Answer:
im sorry whats the question
Step-by-step explanation:
Answer:
Example:
John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.
A half marathon is a distance of 13.1 miles. Your teachers decides to run a half marathon and it takes about 2 hours. What is the average speed of your teacher?
Answer:
its 7
Step-by-step explanation:
· 100 · (0.7)3. (1 - 0.7)5-3?
0=5y-x+5 in slope intercept form
Answer:
y=1/5x-1
Step-by-step explanation:
SI form is Y=mx+b
4x - 12 +7x
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
How many terms are in the above expression?
Answer: 4 is a coefficient, because it's in front of a variable. x is a variable, because it's an unknown value. 12 is a constant, because it's just a value by itself. There are three terms: 4x, -12, and 7x.
Step-by-step explanation:
Kyree can run ⅓ of a mile in 2 minutes. How long does it take Kyree to run 1 mile?
Answer:
6 mins
Step-by-step explanation:
1 = 3/3
3/3 / 1/3 = 3/1 = 3
3 x 2 = 6
Please help. I do not understand and I have limited time to do so
Answer:
D would be the answer
Step-by-step explanation:
since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)
14 – 2u = -12
Solve for u
Answer: u=13
Step-by-step explanation:
If f(x) = 2x + 1 and
g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?
Answer:
The smallest solution is x=-1
Step-by-step explanation:
Quadratic Equation
We have:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=-(x-1)^2+3[/tex]
We'll find the solutions of f(x)=g(x), or:
[tex]2x+1=-(x-1)^2+3[/tex]
Operating:
[tex]2x+1=-(x^2-2x+1)+3[/tex]
[tex]2x+1=-x^2+2x-1+3[/tex]
Rearranging all terms on the left side:
[tex]2x+1+x^2-2x+1-3=0[/tex]
Simplifying:
[tex]x^2-1=0[/tex]
Since the term with the x is missing, we can solve for x:
[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]
There are two solutions:
x=1, x=-1
The smallest solution is x=-1
Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?
Answer:
The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445
Step-by-step explanation:
Since we have given that
Amount he saved per month over the first 7 months = $35
Amount he saved per month over the next 5 months = $40
So, total saving by the end of the year is given by
\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}
35×7+40×5
=$245+$200
=$445
Hence, the expression shows the number of dollars he will have saved by the end of the year is given by
35(7)+40(5)=\$44535(7)+40(5)=$445
2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
Answer:
$296.
Step-by-step explanation:
Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.
I need the formula for calculating interest in APR.
Will give Brainliest
Answer:
To calculate APR, you can follow these 5 steps:
1. Add total interest paid over the duration of the loan to any additional fees.
2. Divide by the amount of the loan.
3. Divide by the total number of days in the loan term.
4. Multiply by 365 to find annual rate.
5. Multiply by 100 to convert annual rate into a percentage.
Don't know if you still need this, but thought I could help!