Answer:
B. 0
Step-by-step explanation:
if n is anything but 0 then the answer wouldn't be m it would be for example m - 1 or m + 1
for it to remain m then n must be 0
b/4 =7.25. What is b?
Kenyl covers the front of a circular bulletin board with fabric that costs 1.48 per square foot. The bulletin board has a radius of 2.5 feet. Kenyl will count only the cost the exact amount of fabric he uses What is the cost of the fabric. Round to the nearest cent.
Answer:
29
Step-by-step explanation:
In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.
To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.
Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.
mathematically A = 2.5^2 * pi = 19.63 sq. feet
The cost of the fabric per square feet is 1.48.
now the cost for this area that we have will be 1.48 * 19.63 = 29.0524
This is nearest to 29
Help please will give brainly! What is the relationship between addition and subtraction, multiplication, and division?
Answer: PEMDAS
Step-by-step explanation:
Which simplified fraction represents 0.ModifyingAbove 45 with bar?
45 Over 99
99 Over 45
5 Over 11
11 Over 5
Answer:
5/11
Step-by-step explanation:
The simplified fraction that represents 0.45 with a bar over the 45 is 45/99 => 5/11.
correct option: 5 Over 11
Here, we have,
we have to break down the decimal 0.45.
The digit 4 is in the tenths place, and the digit 5 is in the hundredths place.
To convert this decimal into a fraction, we can write it as:
0.45 = 4/10 + 5/100
Simplifying the fractions:
0.45 = 2/5 + 1/20
Now, to find the fraction equivalent of the repeating decimal 0.45, we need to express it as an infinite geometric series:
0.45 = (2/5) * (1 + 1/5 + 1/25 + ...)
The sum of an infinite geometric series can be calculated using the formula:
Sum = a / (1 - r)
where a is the first term and r is the common ratio.
In this case, a = 1/5 and r = 1/5.
Sum = (1/5) / (1 - 1/5)
Sum = (1/5) / (4/5)
Sum = (1/5) * (5/4)
Sum = 1/4
Therefore, the fraction equivalent of the repeating decimal 0.45 is 1/4.
However, among the given options, the fraction 45/99 is the closest approximation to 1/4.
This is because 45/99 can be simplified to 5/11, which is the closest fraction to 1/4.
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What does it mean to say there is an association between characteristics in a two-way frequency table?
Answer:
An "association" exists between two categorical variables if the row (or column) conditional relative frequencies are different for the rows (or columns) of the table. ... If the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.
Step-by-step explanation:
The population of a particular country was 22 million in 1985; in 1993, it was 31 million. The exponential growth function A=22e^kt describes the population of this country t years after 1985. Use the fact that 8 years after 1985 the population increased by 9 million to find k to three decimal places.
Answer:
0.043
Step-by-step explanation:
We are given that
Initially when t=0
Then, A=22 million
The population of a country after t years is given by
[tex]A=22e^{kt}[/tex]
When t=8 then A=31 million
Substitute the values
[tex]31=22e^{8k}[/tex]
[tex]\frac{31}{22}=e^{8k}[/tex]
[tex]1.409=e^{8k}[/tex]
[tex]8k=ln(1.409)=0.343[/tex]
[tex]k=\frac{0.343}{8}=0.043[/tex]
5x + 7 < -3 or 3x - 4 > 11
Answer:
x < -2; x > 5
Step-by-step explanation:
5x + 7 < - 3 3x - 4 > 11
-7 -7 +4 +4
5x < - 10 3x > 15
/ 5 /5 /3 /3
x < -2 x > 5
To solve two inequalities: 5x + 7 < -3 and 3x - 4 > 11. The solutions are x < -2 and x > 5, respectively.
1. 5x + 7 < -3
2. 3x - 4 > 11
Let's solve each inequality one by one.
For the first inequality, 5x + 7 < -3, subtract 7 from both sides to get 5x < -10, then divide both sides by 5 to find that x < -2.
For the second inequality, 3x - 4 > 11, add 4 to both sides to obtain 3x > 15, then divide by 3 yielding x > 5.
The solution to the system of inequalities is that x can be any number less than -2 or any number greater than 5.
A cow walks 1/2 mile in 1/4 of an hour. How many miles will the cow walk in 1 hour?
the cow will walk 2 miles
Step-by-step explanation:
half a mile - 0.5 miles
1/4 of an hour = 0.5 miles
2/4 of an hour = 1 Miles
3/4 of an hour = 1.5 miles
4/4 of an hour (one hour) = 2 miles
0.5 × 4 = 2
Find the area of a circle with a radius of 3
Either enter an exact answer in terms of π or use 3.143.143.143, point, 14 for π\piπpi and enter your answer as a decimal.
The area of the circle with a radius of 3 is approximately 28.26 square units using the approximation [tex]\( \pi \approx 3.14 \).[/tex]
The area [tex]\(A\)[/tex] of a circle with radius [tex]\(r\)[/tex] is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
Given that the radius [tex]\(r\)[/tex] is 3, we can substitute this value into the formula:
[tex]\[ A = \pi \times (3)^2 \][/tex]
[tex]\[ A = \pi \times 9 \][/tex]
Using the approximation [tex]\( \pi \approx 3.14 \),[/tex] we can calculate:
[tex]\[ A \approx 3.14 \times 9 \][/tex]
[tex]\[ A \approx 28.26 \][/tex]
Therefore, the area of the circle with a radius of 3 is approximately [tex]\(28.26\).[/tex]
A village lost 15% of its cows in a flood and 10% of the remainder died of
diseases. If the number left now is 7650, what was the original number of
cows before the flood
Answer:
10000 cows.
Step-by-step explanation:
Remainder before the 10% loss: (7650/9) x 10 = 8500
Total before any losses : (8500/85) x 100 = 10000
3x-7x=12x how would u solve this?
Answer:
Because theres nothing to solve for x is all real numbers
Step-by-step explanation:
There is no way to solve it as theres nothing to solve for. You just plug in the x's with any number you want and it still will be there
Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. How old is Daniel now?
The first thing to do is identify the unnecessary information (that they met 2 years ago).
From there, let's go back three years ago. We'll call Daniel's age x, and Ben's age will be 3x. Ben's age is also equal to x + 20.
3x = x+ 20
2x = 20
x = 10
Daniel was 10 three years ago, and Ben was 30. Now, Ben is 33.
please help
Emily plays a snare drum that has a radius of 3 inches. What is the drum's circumference?
Answer:
6π or 18.84956 (rounded to 18.85)
Step-by-step explanation:
The second hand on a clock is 8 \text{ cm}8 cm8, space, c, m long. What is the distance the tip of the second hand travels in 101010 minutes? Round your answer to the nearest \text{cm}cmc, m. \text{cm}cm
Answer:
The distance the tip of the second hand travels in 10 minutes is 502 cm.
Step-by-step explanation:
Given : The second hand on a clock is 8 cm long.
To find : What is the distance the tip of the second hand travels in 10 minutes?
Solution :
The circumference of clock is [tex]C=2\pi r[/tex]
The radius is r=8 cm
[tex]C=2\times 8\times \pi[/tex]
[tex]C=16\pi[/tex]
i.e. in 1 minute it cover [tex]16\pi[/tex]
In 10 minutes it cover [tex]16\pi\times 10[/tex]
In 10 minutes it cover [tex]160\times 3.14[/tex]
In 10 minutes it cover [tex]502.4[/tex]
Therefore, the distance the tip of the second hand travels in 10 minutes is 502 cm.
GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)
Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
[tex]\frac{left}{altitude} =\frac{altitude}{right}[/tex]
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
[tex]\frac{25}{60} =\frac{60}{x}[/tex]
or, [tex](25)(x )=(60)(60)[/tex] [ by cross multiplication]
or, [tex]x = \frac{3600}{25}[/tex]
or, [tex]x = 144[/tex]
Hence,
The value of x is 144.
Answer:
x = 144
Step-by-step explanation:
Height Theorem
60² = 25·x
3600 = 25x
x = 3600 : 25
x = 144
Nick wants to build a rectangular enclosure for his animals. one side of the pen will be against the barn, so he needs no fence on that side. the other three sides will be enclosed with wire fencing. if nick has 700 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
Answer:
350 ft long facing the barn and 175 ft wide
Step-by-step explanation:
Let a and b be the length and width of his rectangular fence. Since he has 700 feet of fencing and one side does not need fencing. We have the following constraint equation:
a + 2b = 700
a = 700 - 2b
We want to maximize the following area formula
A = ab
We can substitute a = 700 - 2b
[tex]A = (700 - 2b)b = 700b - 2b^2[/tex]
To find the maximum value of this, simply take the 1st derivative, and set it to 0
A' = 700 - 4b = 0
b = 700 / 4 = 175 ft
a = 700 - 2b = 700 - 350 = 350 ft
What is the shortest distance between points (-2, 1) and (2,-2)?
Select the appropriate response:
A) 1
B) 2
C) 3
D) 5
Distance = SQRT((X2 -x1)^2 + (y2-y1)^2)
Distance = sqrt((2 - (-2)^2) + (-2 - 1)^2))
Distance = sqrt(4^2 + -3^2)
Distance = sqrt(16 + 9)
Distance = sqrt(25)
Distance = 5
Answer is D. (5)
Answer:
D) 5
Step-by-step explanation:
sqrt[(-2 - 2)² + (1 - -2)²]
sqrt(25)
5
Rearrange the equation so r is the independent variable.
10q-5r=30
Independent variable is the variable that you change.
Dependent variable is the variable you measure that results from or depends on the independent variable.
Since you want "r" to be the independent variable, you isolate/get the variable "q" by itself in the equation: [this is because "r" would be the variable that changes, and "q" would be the variable you find/measure that depends on "r"]
10q - 5r = 30 Add 5r on both sides
10q = 5r + 20 Divide 10 on both sides to get "q" by itself
[tex]q=\frac{5r+30}{10}[/tex]
[tex]q=\frac{5r}{10} +3[/tex]
[tex]q=\frac{1}{2} r+3[/tex]
The value of r is the independent variable is [tex]\rm \dfrac{10q-30}{5}[/tex].
Given that,
Equation; [tex]\rm 10q-5r = 30[/tex]
We have to determine,
The value of r is the independent variable.
According to the question,
A variable whose values do not change is known as independent changes. They have their own value, which is not changed with the equation.
To determine the value of r is the independent variable following all the steps given below.
Therefore,
The value of r is the independent variable is,
[tex]\rm 10q-5r = 30\\\\10q=30+5r\\\\q = \dfrac{30+5r}{10}\\\\q = \dfrac{5}{5} \times \dfrac{6+r}{2}\\\\ q = \dfrac{1}{2}r + \dfrac{6}{2}\\\\ q = \dfrac{1}{2}r + 3\\\\[/tex]
Hence, The value of r is the independent variable is [tex]\rm \dfrac{1}{2}r + 3[/tex].
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A square chessboard is made of 64 white and black squares arranged in 8 rows and 8 columns. The side length of each square is 2 inches. What is the perimeter of the chessboard ?
Answer:
64 inches
Step-by-step explanation:
We know the following:
- A chessboard is made of 64 white and black squares.
- The 64 squares are arranged in 8 rows and 8 columns.
- Each square is 2 inches thick.
From the first point, we see that a chessboard is a square. This means its length and width are equal.
This is also why the number of rows is equal to the number of columns.
It has been established that there are 8 rows (and 8 columns). Each row is made up of 8 squares.
Therefore, the length of 8 squares (a row) is:
L = 8 * 2 = 16 inches.
Hence, each row (and column) is 16 inches long.
Therefore, Perimeter will be:
P = 4L
P = 4 * 16
P = 64 inches
The perimeter of the chessboard is 64 inches.
Final answer:
The student needs to calculate the perimeter of a chessboard. Multiplying the side of one square (2 inches) by the number of squares (8) gives the length of one side (16 inches). The perimeter is then 4 sides multiplied by 16 inches, resulting in 64 inches.
Explanation:
The student is asking about the perimeter of a chessboard. To find the perimeter, we need to calculate the total length of the chessboard's borders. Since the chessboard has 8 squares along each side and each square has a side length of 2 inches, the length of one side of the chessboard is 8 squares × 2 inches/square = 16 inches. The chessboard is a square with four equal sides, so the perimeter (P) is 4 times the length of one side.
P = 4 × 16 inches = 64 inches
Therefore, the perimeter of the chessboard is 64 inches.
The national touring company Spice on Ice visited Seattle, Washington, last year. THe producers held a special promotional ticket sale for one hour. During this time, adult tickets sold for $5, junior tickets (ages 9-17) sold for $2, and children’s tickets (ages 0-8) sold for the ridiculously low price of 10 cents. During this sale, 120 tickets sold for exactly $119. How many of each kind of ticket were sold during the sale?
Answer: Adult 84
Children 34
Junior 2
Step-by-step explanation:
Adults tickets = $5
Children tickets = $.10
Junior tickets = $2
Total ticket sold = 120 at $119
Total tickets price
= Adults + junior + children
= 5 + 2 + 0.10 = 7.1
No of tickets sold for adults
= 5 / 7.1 × 119
= 84
No of tickets sold for children
= 2/7.1 × 119
= 34
No of tickets sold for junior
= 0.10/7.1 × 119
= 2
Total ticket sold
= 84 + 34 + 2
= 120
Final answer:
During the sale, 22 adult tickets, 67 junior tickets, and 31 children's tickets were sold.
Explanation:
Let's assume that the number of adult tickets sold is x, the number of junior tickets sold is y, and the number of children's tickets sold is z.
According to the information given, the cost of an adult ticket is $5, the cost of a junior ticket is $2, and the cost of a children's ticket is $0.10 (10 cents).
The total number of tickets sold is 120, so we can write the equation:
x + y + z = 120
Additionally, the total amount collected from the ticket sales is $119, so we can write the equation:
5x + 2y + 0.10z = 119
We now have a system of equations that we can solve to find the values of x, y, and z.
By using substitution or elimination methods, we can find that x = 22, y = 67, and z = 31.
Therefore, during the sale, 22 adult tickets, 67 junior tickets, and 31 children's tickets were sold.
h(x) = 3x + 2; Find h(-5)
Answer:
h(-5) = -13
Step-by-step explanation:
h(x) = 3x + 2
Let x = -5
h(-5) = 3(-5) +2
= -15 +2
= -13
Answer:
H(-5)= -13
Step-by-step explanation:
1) Plug in -5 for the variable X
2) Then Solve
h(-5)= 3(-5) + 2
h(-5)= -15 + 2
H(-5)= -13
Hope this Help!
A local theater sells out their show. They sell all 500 tickets for a total of $8,070. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children’s tickets, how many of each type was sold?
Answer:
The number tickets sold was 120 student tickets, 95 children tickets and 285 adult tickets.
Step-by-step explanation:
Given:
A local theater sell all 500 tickets for a total of $8,070.
The price of tickets were $15 for students, $12 for children, and $18 for adults.
The adult tickets sold were three times as many as children’s tickets.
Now, to find the number of student tickets, children tickets and adult tickets sold.
Let the number of students ticket be [tex]x.[/tex]
Let the number of children ticket be [tex]y.[/tex]
So, the number of adults ticket be [tex]3y.[/tex]
Now, the total number of tickets sold:
[tex]x+y+3y=500\\\\x+4y=500\\\\x=500-4y\ \ \ ...(1)[/tex]
Now, the total cost of tickets:
[tex]x(15)+y(12)+3y(18)=8070\\\\15x+12y+54y=8070\\\\15x+66y=8070\\\\Substituting\ the\ value\ of\ x\ from\ equation\ (1):\\\\15(500-4y)+66y=8070\\\\7500-60y+66y=8070\\\\7500+6y=8070\\\\Subtracting\ both\ sides\ by\ 7500\ we\ get:\\\\6y=570\\\\Dividing\ both\ sides\ by\ 6\ we\ get:\\\\y=95.[/tex]
Thus, the number of children ticket is 95.
According the adult tickets sold were three times as many as children’s tickets.
Therefore, the number of adult tickets = 95 × 3 = 285.
Now, substituting the value of [tex]x[/tex] in equation (1) to get the number of student tickets:
[tex]x=500-4y\\\\x=500-4(95)\\\\x=500-380\\\\x=120.[/tex]
Hence, the number of student tickets is 120.
Therefore, the number tickets sold was 120 student tickets, 95 children tickets and 285 adult tickets.
The problem can be solved by creating a system of equations representing each type of ticket sales and their respective prices. Three equations are formed from the information provided and are then solved to find the numbers of each type of ticket sold.
Explanation:This problem can be solved using a system of equations, representing each type of ticket sales and their prices. Let's define the variables. Let's let x represent the number of student tickets, y represent the number of children's tickets, and z represent the number of adult tickets.
We know that the total number of tickets sold is 500, so we can form the equation:
x + y + z = 500.
Moreover, we know that the total amount of money made from the tickets is $8070, so we can form the equation:
15x + 12y + 18z = 8070.
Lastly, we know that the theater sold three times as many adult tickets as children's tickets, forming the equation:
z = 3y.
Using these three equations, we can substitute and simplify to find the values of x, y, and z, representing the numbers of student, children, and adult tickets sold respectively.
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A small swimming pool has a circumference of 3π feet. Select the true statement about the pool.
a The radius is 3 ft.
b The diameter is 3 ft.
c The diameter is 1.5 ft.
d The radius is 6 ft.
Answer:
d dfghjkl
Step-by-step explanation:
i just knowvghnm,.
Solve for x.
Geometry
Answer:
x =17
Step-by-step explanation:
Given shape is of a irregular hexagon.
Sum of all angles of an irregular hexagon
[tex]=(6 - 2) \times 180 \degree = 4 \times 180 \degree = 720 \degree \\ \\ \therefore \: (6x - 2)\degree + (7x + 19)\degree + 116 \degree \\ \: \: \: + (5x + 36)\degree + (8x - 1)\degree + 110 \degree \\ \: \: \: = 720 \degree \\ \\ \therefore \:(26x + 52)\degree + 226\degree = 720 \degree \\ \\ \therefore \:26x\degree + 278\degree = 720 \degree \\ \\ \therefore \:26x\degree = 720 \degree - 278\degree \\ \\ \therefore \:26x\degree = 442 \degree \\ \\ \therefore \:x = \frac{442\degree}{26\degree} \\ \\ \huge \red{ \boxed{\therefore \:x = 17}}[/tex]
Simplify 6xy - 20y + 7z - 8x + 25y - 11z
Answer:
6xy - 8x + 5y - 4z
Step-by-step explanation:
6xy - 20y + 7z - 8x + 25y - 11z
Group the ones with the variable first to make an equation:
6xy - 8x - 20y + 25y + 7z - 11z
Solve the equation
6xy - 8x +5y - 4z
What is the surface area of the cylinder with height 5 in and radius 3 in? Round
answer to the nearest thousandth
The surface area of the cylinder with a height of 5 inches and a radius of 3 inches is calculated using the formula A = 2πrh + 2πr² and comes out to approximately 150.796 in² when rounded to the nearest thousandth.
Explanation:To calculate the surface area of a cylinder, we use the formula A = 2πrh + 2πr², where 'r' is the radius and 'h' is the height of the cylinder. Given the height 'h' is 5 inches and the radius 'r' is 3 inches, we substitute these values into the formula.
Calculating the lateral surface area (the area of the side):
A_lateral = 2πrh = 2π(3 in)(5 in) = 30π in².
Calculating the area of the two bases:
A_bases = 2πr² = 2π(3 in)² = 18π in².
Now, add the lateral area and the area of the bases to find the total surface area:
A_total = A_lateral + A_bases = 30π in² + 18π in² = 48π in².
Using π ≈ 3.14159, the total surface area is: A_total ≈ 48(3.14159) = 150.796 in². Rounded to the nearest thousandth, the surface area of the cylinder is 150.796 in².
The area of triangle is a 15 in.² the triangle height is 5 inches what is the length of the base
Answer:
6 in.
Step-by-step explanation:
Hello there!
Work the triangle formula backward:
15 x 2=30
30/5=6 in
:)
find the ending balance $35,600 at 9% for 2 years
Answer:
42,008
Step-by-step explanation:
The ending balance after 2 years will be equal to $42008.
What is a simple interest?The amount of interest calculated on the principal amount over a whole year of the loan amount is called simple interest.
In finance and economics, interest is the payment of an amount over repayment of the original sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor. It differs from a fee that the borrower may pay to the lender or a third party.
Given that the amount is $35600 at 9% interest for 2 years. The total balance after 2 years will be,
SI = ( P x R x T ) /100
SI = ( 35600 x 9 x 2 ) / 100
SI = 6408
Ending amount = 6408 + 35600
Ending amount = $42008
Therefore, the ending balance after 2 years will be equal to $42008.
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Cylindrical tank A has 9/10 of the radius and 9/10 of the height of cylindrical tank B. If tank A can hold 20 gallons, approximately how many gallons can tank B hold?
Answer: Tank B can hold 27.4 gallons
Step-by-step explanation:
Volume of a cylinder = πr^2h
Given that Cylindrical tank A has 9/10 of the radius and 9/10 of the height of cylindrical tank B
Let the radius of A = r
Radius of B = R
Height of A = h
Height of B = H
r = 0.9R and h = 0.9H
Volume of A = πr^2h
= π(0.9R)^2(0.9H)
= 2.29R^2H
Given that tank A can hold 20 gallons, approximately
20 = 2.29R^2H
R^2H = 20/2.29 = 8.73 ..... (1)
Volume of B = πR^2H
Substitutes R^2H in equation (1) into Volume of B
Volume of B = 3.143 × 8.73
Volume of B = 27.4 gallons
Answer: Tank B can hold 27.43 gallons
Step-by-step explanation: Please see the attachments below
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -16t2 + 96t gives the height, in feet, of the soccer ball after t seconds. This function is shown in the graph below.
How long will it take for the ball to hit the ground? Write your answer as an integer.
The ball will come to ground after 6 seconds.
We have a function of time given by -
f(x) = [tex]-16t^{2} +96t[/tex]
that gives the height of the ball in feet at ' t ' second.
We have to find out after how much time the ball will hit the ground.
In the question given to us above, the type of motion discussed is called ?The type of motion discussed in the above question is a two - dimensional projectile motion.
We have - h(t) = f(x) = [tex]-16t^{2} +96t[/tex]
Now, in order to find out the time at which the ball will hit the ground again, we will equate h(t) = f(x) = 0
[tex]-16t^{2} +96t=0\\-16t(t - 6)=0\\-16t =0\;\;\;\;\;\;t -6 = 0[/tex]
Now, time can never be 0.
Hence -
t - 6 = 0
t = 6 seconds.
Hence, the ball will come to ground after 6 seconds.
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