Answer:
c
Step-by-step explanation:
The solution is
13
12
π. To calculate the arc length use the following formula:
Arc Length=
m(ARC)
360
· 2πr
What is the slope of the line through the points (–2, –1) and (8, –3)?
-3 + 1 = -2
8 + 2 = 10
-2/10 = -1/5
Answer = -1/5
The slope of the line through the points (2, 1) and (8, 3) is calculated using the slope formula and is -1/5.
To find the slope of a line passing through two points, you will need to use the slope formula, which is:
(change in y) / (change in x)or (y2 - y1) / (x2 - x1).
For the points given (–2, –1) and (8, –3), you would calculate the slope as follows:
Slope (m) = (-3 - (-1)) / (8 - (-2)) = (-3 + 1) / (8 + 2) = (-2) / (10) = -1/5.
So, the slope of the line through the points (–2, –1) and (8, –3) is -1/5.
A flag measures 110 feet by 55 feet. Find it’s area
Answer:
6050
Step-by-step explanation:
Area = length * width
Area = 110 * 55
Area = 6050
Answer:
6050 sq ft (or you could write 6050ft and a little two at the top right next to it at the end)
Step-by-step explanation:
To find the area of something, you must multiply length x width, so in this situation, you would multiply
110 x 55
that would equal 6,050
Dawn has 1.20 in nickels, dimes and quarters. For each nickel she has one dime and for each dime she has one quarter. How many total coins does she have?
Answer:
9
Step-by-step explanation:
"For each nickel, she has one dime"
That means she has the same number of nickels and dimes.
"for each dime she has one quarter"
That means she has the same number of quarters and dimes.
She has the same number of each coin.
Let's say she has x coins of each type.
The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth
0.05x + 0.10x + 0.25x
We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.
0.05x + 0.10x + 0.25x = 1.20
0.40x = 1.20
x = 1.20/0.40
x = 3
She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.
Dawn has a total of 9 coins, which include 3 nickels, 3 dimes, and 3 quarters.
Explanation:The subject of this question is a math problem involving counting coins. In this scenario, dawn has a total of $1.20 in nickels, dimes, and quarters. And the number of nickels, dimes and quarters are equal since for every nickel Dawn has, she also has a dime and a quarter.
Now, the value of a nickel is $0.05, a dime is $0.10 and a quarter is $0.25. So, the total value of a nickel, a dime and a quarter is $0.40. Therefore, since the total amount of money she has is $1.20, we divide that amount by the total value of each group of coins: $1.20 / $0.40 gives us 3.
So Dawn has 3 nickels, 3 dimes, and 3 quarters, for a total of 9 coins.
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If f(x) = -5x -9 then f^-1(x) = ____
Answer:
[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];
Step-by-step explanation:
The given linear function is;
[tex]f(x)=-5x-9[/tex]
Let [tex]y=-5x-9[/tex];
Interchange [tex]x[/tex] and [tex]y[/tex] to get;
[tex]x=-5y-9[/tex];
Solve for [tex]y[/tex].
[tex]x+9=-5y[/tex]
Divide both sides by -5
[tex]\frac{x+9}{-5}=y[/tex];
This implies that;
[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];
Answer:
f⁻¹(x) = -(x+9) / 5
Step-by-step explanation:
We have given a function.
f(x) = -5x -9
We have to find inverse of given function.
Let y = f(x)
y = -5x-9
Solving above equation for x, we have
x = -(y+9) / 5
Putting x = f⁻¹(y) in above equation ,we have
f⁻¹(y) = -(y+9) / 5
Replacing y by x, we have
f⁻¹(x) = -(x+9) / 5 which is the answer.
(x^4 – x^2 – 6) ÷ (x^2 + 8)
Answer:
x² - 9 Remainder 66
Step-by-step explanation:
Find the attachment below for a step by step explanation.
Answer:
[tex]x^2-9[/tex]
Step-by-step explanation:
We are given the following expression and we are to divide it:
[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]
We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].
Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.
So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].
he front of an A-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the A-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house.
Answer:
Equation: [tex]600=\frac{20b)}{2}[/tex]
Base: 60 feet.
Step-by-step explanation:
The formula for calculate the area of a triangle is:
[tex]A=\frac{bh}{2}[/tex]
Where:
A: is the area of the triangle.
b: is the base of the triangle.
h: is the heigth of the triangle.
Knowing the area of the triangle and its height, you can write the equation:
[tex]600=\frac{20b}{2}[/tex]
Where b is the base in feet of the A-frame house.
To solve it:
Multiply both sides of the equation by 2.
Divide both sides of the equation by 20.
Then:
[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]
The base of the A-frame house is 60 feet.
Why did President Reagan order the CIA to recruit the Contras?
a.) He wanted to use the Contras to help free US hostages being held by terrorists.
b.) He thought they could help the United States sell arms to countries fighting Communism.
c.) He thought they were necessary to oust a Communist-leaning government in Nicaragua.
d.) He felt that it would prompt Congress to change its stand on US involvement in Latin America.
President Reagan order the CIA to recruit the Contras because of option (c) He thought they were necessary to oust a Communist-leaning government in Nicaragua.
What is meant by Reagan Revolution?Reagan revolution is defined as the era which is basically referring to the changes that happened America during the reign of the president Ronald Reagan.
Reagan, when ruling had many policies that no other ruler before made into the rule.
Some of his policies includes decreasing the income taxes for the people, decreasing the the budget of government, maintenance of low rate of interest, and the other elimination of useless programs.
Along with this, he aims to eliminate the communism globally.
Nicaragua was a region which was highly affected with communism.
The contras' were the one opposing the communism in Nicaragua.
So CIA assisted this contras along with other anti communist causes under the name Reagan Doctrine.
Hence option c is correct.
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How could you describe this graph?
Skewed right, if its data is mostly on the left it’s skewed right, if it’s data is mostly on the right it’s skewed left
Answer: skewed right
Step-by-step explanation:
Find the surface area of the trapezoidal
Answer:
916 in.
Step-by-step explanation:
Step by Step.
5*10 = 50, and 50*2 = 100
10*4 = 40, and 40 * 2 = 80
(4*6)/2 = 12, and 12 * 2 = 24
10*10 = 100, and 100 * 2 = 200
16*16 = 256, and 256 * 2 = 512
Adding this together, we get: 916 inches.
Use the drawing tool(s) to form the correct answer on the provided number line.
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
Answer:
n < 18
Step-by-step explanation:
The condition you are looking for is that
94 + 4.50n < 175
Subtract 94 from each side 4.50n < 81
Divide each side by 4.50 n < 18
The number of devices must be fewer than 18 for the new plan to cost less than the current plan.
The diagram is a graph of the inequality 94 + 4.50n < 175. Any value of n less than 18 (that is, in the pink zone and not on the vertical dashed line) will satisfy the inequality.
Math problem plz solve asap
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
y = -1
Simplify the expression. 3(2y - 8) - 2y(5 - y)
options-
2y 2 + 16y - 24
-5y - 8
2y 2 - 4y - 24
2y 2 + 16y - 24
some of the 2's in the answer options are exponents.
Answer:
[tex]\boxed{\bold{2y^2-4y-24}}[/tex]
Step By Step Explanation:
Expand [tex]\bold{3\left(2y-8\right): \ 6y-24}[/tex]
[tex]\bold{6y-24-2y\left(5-y\right)}[/tex]
Expand [tex]\bold{-2y\left(5-y\right): \ -10y+2y^2}[/tex]
[tex]\bold{6y-24-10y+2y^2}[/tex]
Simplify [tex]\bold{6y-24-10y+2y^2}[/tex]
[tex]\bold{2y^2-4y-24}[/tex]
Please, can someone graph this for me and include a file?
g(x) = x3 − x2 − 4x + 4
What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answer:
What is the equation of the line parallel to the given line with an x-intercept of 4?
y = 4 x + -16
Step-by-step explanation:
The resulting equation is y = x - 4.
Firstly, a line that is parallel to another line has the same slope. Since the given line is in the form y = mx + b, we need the slope (m) from this equation. Let's assume it is y = x + c, then the slope (m) is 1 since no explicit value is provided for c.
Next, we need the equation of a new line that has the same slope (which is 1) and an x-intercept of 4. An x-intercept of 4 means the line passes through the point (4, 0).
Start with the general form of the line's equation: y = mx + b.Substitute the slope (m = 1): y = 1x + b or y = x + b.Use the point (4, 0) to find b: 0 = 4 + b. Solving for b, we get b = -4.Therefore, the equation of the line parallel to the given one with an x-intercept of 4 is y = x - 4.
Can u help me plz and can you help me plz?
Answer:
C. 40
Step-by-step explanation:
There are 3 sectors that are labeled five, which is out of 12. So the chance of landing on one of it is 3/12, or 1/4.
So, a reasonable estimate is that out of 150 spins, 1/4 of them will land on five. The number of spins can be found out by multiplying 150 by 1/4. 150 * 1/4 is equal to 37.5, which is about 40.
Answer:
The aqnswer is 30
Step-by-step explanation:
the answer is 30
need help asap!!!plzz
Find the commission on a sale of $600 with a 5% commission rate.
(A)$45 (B)$30 (C)$60 (D)$15
Answer: Choice B
Step-by-step explanation:
In order to solve for the amount of commission you need to multiply the amount of the sale times the 5% commission rate.
$600 x .05 = $30
round 0.232 to the nearest hundreth
Answer:
0.23
Step-by-step explanation:
The first spot to the right of the decimal is the tenths place. Ex. .0
The second spot to the right of the decimal is the hundredths place. Ex. .00
The third spot to the right of the decimal is the thousandths place. Ex. .000
Since you are trying to round to the nearest hundredth you look at the thousandths place. If it is 5 or higher you round up. If it is under 5 you round down.
0.232
Since the 2 is the thousandths place the hundredths stays the same and you drop the thousandths place.
0.23
how do you cross multiply ?
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. ...
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction. ...
Set the two products equal to each other. ...
Solve for the variable.
Answer:
Cross multiplying is literally what you do multiplying diagonally.
Step-by-step explanation:
Here you would multiply 12 by 100% and x by 10.
We convert the percents into decimals first.
So 12 * 1 = 12 and x * 0.1 = x/10
So x/10 = 12
Then we multiply each side by 10.
x = 120.
caitlin had some money. after her shopping spree at redmond town center she had $5 left. she bought a new pair of shoes for $48, 2 pais of jeans at $19 each, and 2 t-shirts at $13 each. how much money did she have at the beginning
Answer:
$117
Step-by-step explanation:
Add 48 + 19 + 19 + 13 + 13 + 5 = 117
Please answer ASAP
Answer:
m = -3/4
Step-by-step explanation:
We can see two points : (0,1) and (4,-2).
Then we find the change of Y/change of X.
This comes out to -3/4, which is the second answer choice.
Which is eWhich is equivalent to 3 square root of 125quivalent to ?
Answer:
15[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}[/tex]
I WILL MARK BRAINEST PLEASE HELP
Answer:
D is the answer
Step-by-step explanation:
This question requires a calculator
The formula for electrical power is P, is P= I^2 R, where I is current and R is resistance. The formula for I in terms of. P and R is
The formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]
How to rewrite the formula for IThe formula is given as:
P = I^2R
To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.
So, we have:
I^2 = P/R
Take the square root of both sides
[tex]I = \sqrt{\frac PR}[/tex]
Hence, the formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]
Read more about expressions at:
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The formula for I in terms of P and R is 2) I = [tex]\sqrt ( PR)[/tex]
How to rewrite the formula for I
The formula is given as:
[tex]P = I^2R[/tex]
To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.
So, we have:
[tex]I^2 = P/R[/tex]
Take the square root of both sides
[tex]I = \sqrt( PR)[/tex]
Hence, the formula for I in terms of P and R is 2) [tex]I = \sqrt (PR)[/tex]
how to create a word problem for 1/2 x + 6 =81
To create a word problem for the equation '1/2 x + 6 = 81', we can imagine a student earning points on a quiz and receiving additional points, with the task to find out how many points they initially earned.
Explanation:To create a word problem for the equation 1/2 x + 6 = 81, we can consider a real-world scenario. Imagine that a teacher tells a student that they will receive double the number of points they earn on a special quiz and an additional 6 points for their efforts in the classroom. The total points would then put their score at 81 points for the semester. The question is, how many points did the student earn on the special quiz?
To solve the problem, we follow these steps:
First, subtract 6 from both sides of the equation to isolate the term with the variable: 1/2 x = 81 - 6.Next, calculate the difference: 1/2 x = 75.Finally, multiply both sides by 2 to solve for x: x = 150.The student earned 150 points on the special quiz before the additional points were added.
Find the missing side
[tex]12 \div 3 = 4[/tex]
so
[tex]x = 20 \div 4[/tex]
x = 5
Answer:
x = 5
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{3}{12}[/tex] = [tex]\frac{x}{20}[/tex] ( cross- multiply )
12x = 60 ( divide both sides by 12 )
x = 5
What capital leffer appears to have parallel lines?
D or L or N or T?
Answer:
N, the verticle lines are are parallel
Step-by-step explanation:
Answer:
N
Step-by-step explanation:
Note to the wise: It's letter, not leffer.
Only N has 2 parallel lines.
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what is the 15th term in the sequence:
3, 12, 48, 192, 768, . . . . ?
please explain how you got your answer :) thanks!
Answer:
r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)
Step-by-step explanation:
Which triangle is NOT labeled correctly
WILL MARK BRAINLIEST!!!
red triangle
hypotenuse is the longest side of the right triangle; the opposite of the right angle
1. A box of pancake mix requires 1 cup of mix and
2/3 cups of water to make 6 to 7 pancakes. Arjun is
making pancakes for his family of 6, and he wants every-
one to have at least 3 pancakes. How much pancake mix
will Arjun need? How much water will he need?
Answer:
2 Cups of water
Step-by-step explanation:
To find the amount of water that Arjun will need to make 3 pancakes for each family member in a family of 6, we first need to know what our current ratio of pancake mix to water is.
2/3 water : 1 pancake mix = 6 to 7 pancakes
Now we need to know how much pancakes Arjun needs to make.
6 family members
3 pancakes each
So we multiply the number of family members to the number of pancakes each
Total number of pancakes = 6 x 3
Total number of pancakes = 18
So we need at least 18 pancakes for the family to have 3 pancakes each.
Since we know that the combination of water and pancake mix will make around 6 to 7 pancakes, we simply multiply the entire amount by 3.
2/3 (3) : 1 (3) = 6 (3) to 7 (3)
2 Cups of water : 3 pancake mix = 18 to 21 Pancakes
With a combination of 2 cups of water and 3 pancake mix. We will get 18 to 21 pancakes.
So Arjun will need 2 cups of water to get 18 to 21 pancakes for the family of 6.
YOU GET 100 POINTS!
Find X.
answer:_________
answer needed by 5pm. no later.
Using the intersecting chord theorem:
(6 * 1) = (2*x)
Simplify:
6 = 2x
Divide both sides by 2:
x = 6/2
x = 3
Answer:
x = 3
Step-by-step explanation:
You have to use the Intersecting Cord Theorem
(6 * 1) = 2x
multiply what's in the parenthesis
6 = 2x
divide 2 from both sides
3 = x
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