Answer:
21
Step-by-step explanation:
Add 5 and 10 together then muliply 15 and 21 to get 315
I'm not going to lie, I am little confused as it does show how much he sold the shirts for, but maybe they're just trying to find 325/15?
If so your answer is ~22
Find each function value for part 1, 3 and 5 with the given function
Answer:
1. -25
3. 15
5. -5/4
Explanation:
Considering the given functions for a(x)
1. To solve for a(8), we'll have to use the third function since we're given that x > 1 in the 3rd function and we know that 8 is greater than 1.
So we'll have;
\(\begin{gathered} a(x)=-4x+7_{} \\ a(8)=-4(8)+7 \\ a(8)=-32+7 \\ a(8)=-25 \end{gathered}\)3. To solve for a(-7), we'll use the 1st function because -7 is less than -6 and the condition is x <= -6;
\(\begin{gathered} a(x)=|x-8| \\ a(-7)=|-7-8| \\ a(-7)=|-15| \\ a(-7)=15 \end{gathered}\)5. a(-1/2)
In this case, we'll use the 2nd function is -1/2 lies between -6 and 1.
So, we'll have;
\(\begin{gathered} a(x)=2x-x^2 \\ a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^2 \\ =-1-(\frac{1}{4}) \\ =\frac{-4-1}{4} \\ =-\frac{5}{4} \end{gathered}\)a spinner has eight equal-sized sections numbered 1 through 8. the spinner is spun twice. what is the probability of first spinning an odd number then spinning an even number?
The probability of spinning an odd number first then spinning an even number is 3/8 x 4/8 = 12/64.
This can be expressed as a fraction, decimal, or percentage. As a fraction, this probability is 12/64. As a decimal, this probability is 0.1875. As a percentage, this probability is 18.75%.
To calculate this probability, we first need to calculate the probability of spinning an odd number first. Since there are eight sections and four of them are odd numbers (1, 3, 5, 7), the probability of spinning an odd number is 4/8. We then need to calculate the probability of spinning an even number. Since there are four even numbers (2, 4, 6, 8), the probability of spinning an even number is 4/8. Finally, we multiply these two probabilities together to get the probability of spinning an odd number first then spinning an even number, which is 3/8 x 4/8 = 12/64.
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Find the curl of the vector field F =< 6ycos(x), 2xsin (y) >
The curl of the vector field F =< 6ycos(x), 2xsin (y) > is given by (2sin(y) - 6cos(x)).
To find the curl of the vector field F =< 6ycos(x), 2xsin(y)>, we can use the formula for the curl of a vector field in two dimensions, which is given by:
curl(F) = (∂Q/∂x - ∂P/∂y)
In this case, we have P(x,y) = 6ycos(x) and Q(x,y) = 2xsin(y), so we need to compute the partial derivatives of these functions with respect to x and y.
∂P/∂y = 6cos(x)
∂Q/∂x = 2sin(y)
Therefore,
curl(F) = (∂Q/∂x - ∂P/∂y) = (2sin(y) - 6cos(x))
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Farmer Jim keeps 12 hens in every coop. If Farmer Jim has 20 coops, how many hens does he have in all? If every hen lays 9 eggs on Monday, how many eggs will Farmer Jim collect on Monday? Explain your reasoning using words, numbers, or pictures
Answer:
87
Step-by-step explanation:
hopes this helps
Answer:
2160 eggs on Monday
Step-by-step explanation:
Jim keeps 12 hens in every coop but Jim has 20 coops
12x20=240 hens
Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop
108x20 = 2160 for 20 coops on Monday
francisco and meredith are 230 feet apart when they start walking toward one another. they are walking at the same speed, so whenever francisco travels some number of feet, meredith travels the same number of feet. let x x represent the number of feet francisco has traveled since he started walking toward meredith. write an expression in terms of x x that represents the number of feet francisco has walked toward meredith since they started walking. preview write an expression in terms of x x that represents the number of feet meredith has walked toward francisco since they started walking. preview write an expression in terms of x x that represents the total number of feet francisco and meredith have walked toward one another since they started walking. preview write an expression in terms of x x that represents the distance (in feet) between francisco and meredith. preview
The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.
To answer your question, let's break it down into the different expressions:
1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.
2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.
3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.
4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.
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) The diameter of a circle is increasing at a rate of 5 cm/sec. How fast is the area changing with time when the diameter is 20 cm
Answer:
50π cm²/s
Step-by-step explanation:
Area of the circle A = πd²/4
Rate at which the area is changing with time is expressed as;
dA/dt = dA/dd*dd/dt
dd/dt is the rate at which the diameter is changing with time
dd/dt = 5cm/sec
dA/dd = 2πd/4
dA/dd = πd/2
Given that d = 20cm
dA/dt = dA/dd*dd/dt
dA/dt = πd/2*5
dA/dt = 20π/2 *5
dA/dd = 10π * 5
dA/dd = 50π cm²/s
Hence the area is changing at the rate of 50π cm²/s
A 5-foot tree was planted and grew 2 feet each year. Write an algebraic expression for the height of the tree after v years.
Answer:
6+2y, since the tree is already 6 feet, it grows 2 feet per year so you add 2 feet to the 6 feet every year
Answer:
5+2v
Step-by-step explanation:
In classroom A there are 35 children and 60% are girls.
In classroom B there are 36 children and the ratio of girls to boys is 5: 4.
Which classroom has more girls?
Answer:
classroom A
Step-by-step explanation:
because there are 35 children and 60% out of 100% are girls. therefore 40% of the 35 children are boys
two cars are traveling down the highway with the same speed if the first car increases its speed by 1km/hr and the other car decreases its speed by 10km/hr,then the first car will cover the same distance in 2hrs as the second car in 3 hrs, what is the speed of the cars
Answer:
Their speed is 32 km/h.
Step-by-step explanation:
Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:
\(\text{distance} = \text{speed}*\text{time}\\\)
With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:
\(\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2\)
\(\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30\)
Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.
\(2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32\)
Their speed is 32 km/h.
anyone help me asap no bots and no being rude try to answer them (:
Step-by-step explanation:
A: (1½hours×60min)+(¾×60)+45min
B: (2¼×60)+45min+(½×60)
subtract the answer of A from the answer of B to find how much more time she worked on it the second week.
Which equation is the equation of a line that passes through (-10 3) and is perpendicular to y=5x-7.
Answer:
y=5x+53
Step-by-step explanation:so all i did was go into the demos app and typed in y=5x-7 and then i entered y=5x+30 and i kept going up until i found the right answer
Help meh pweeeeaaaasssseeee!
Answer:
The name of the given figure in two different ways are - J⇔U and U⇔J
Which pair of angles are congruent?
A) 1 and 8
B) 4 and 6
C) 5 and 6
D) 1 and 7
Answer:
Option A
Step-by-step explanation:
Two parallel lines and a transversal line intersecting these lines have been given in the picture.
Option (A)
∠1 ≅ ∠8 [Alternate exterior angles]
Option (B)
m∠4 + m∠6 = 180° [Consecutive interior angles]
Therefore, m∠4 ≠ m∠6
Option (C)
m∠5 + m∠6 = 180° [linear pair of angles are supplementary]
Therefore, m∠5 ≠ m∠6
Option (D)
m∠1 + m∠7 = 180° [Corresponding exterior angles]
Therefore, ∠1 ≠ ∠7
Option (A) is the answer.
This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai
The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.
What is a map?Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.
In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.
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y is inversely proportional to a^3
when a =2, y=10
a is directly proportional to x
when x=4, =20
find the formula for y in terms of x
give your answer in it simplest form
The formula for y in terms of x, in its simplest form, is y = 80/x.
To begin, let's start by writing out the inverse proportionality relationship between y and a^3:
y ∝ 1/a^3
We can then use the given information that when a = 2, y = 10 to solve for the constant of proportionality.
10 ∝ 1/2^3
10 ∝ 1/8
10(8) = 1
So the formula for y in terms of a is:
y = 8/a^3
Next, we can use the given information that a is directly proportional to x when x = 4 and y = 20.
a ∝ x
a = kx
Substituting this into our formula for y:
y = 8/(kx)^3
y = 8/k^3 * x^-3
Finally, we can solve for the constant of proportionality, k:
When x = 4, y = 20
20 = 8/k^3 * 4^-3
20 = 2/k^3
k^3 = 2/20
k^3 = 0.1
k = (0.1)^(1/3)
Simplifying our expression for y in terms of x:
y = 8/(0.1) * x^-1
y = 80x^-1
Therefore, the formula for y in terms of x, in its simplest form, is y = 80/x.
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Find the product (2x + 3)^2
With step by step solution
Answer:
4x^2+12x+9
thats it
Answer:
x= -3/2 or 4x^2 +12x+9 (depend on what answer you need)
Step-by-step explanation:
(2x+3)^2
(2x+3)(2x+3)
(2x*2x)(2x*3)(3*2x)(3*3)
4x^2 + 6x + 6x + 9
4x^2 +12x + 9
If you want to find x:
2x+3 = 0
-3 -3
2x= -3
/2 /2
x = -3/2
A plane flew 30 miles north and then 40 miles east. How far is the plane from its starting point?
Answer:
70 miles
Step-by-step explanation:
30 (mi) +40 (mi) =70
The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car
The probability that both Michelle and Garth will drive a red bumper car is 1/22.
The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. We have to find the probability that both Michelle and Garth will drive a red bumper car.
Probability of Michelle driving a red car = 3/12 or 1/4Probability of Garth driving a red car after Michelle has been assigned a red car is = 2/11 Let A be the event of Michelle driving a red car and B be the event of Garth driving a red car. Then, we have to find P(A and B). P(A and B) = P(A) * P(B after A)⇒ P(A and B) = 1/4 * 2/11⇒ P(A and B) = 1/22 Therefore, the probability that both Michelle and Garth will drive a red bumper car is 1/22.
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simplify (-2) × (6-5) × (-5)
Answer: 10
Step-by-step explanation:
6-5 = 1
-2 x 1 = -2
-2 x -5 = 10
WILL GIVE BRAINLIEST PLEASE HELP
drag the correct answer in the box
Answer:
\( \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \)
\( \frac{4}{5} \times \frac{1}{3} = \frac{4}{15} \)
\( \frac{9}{10} \times \frac{8}{8} = \frac{9}{10} \)
\( \frac{8}{11} \times \frac{2}{5} = \frac{16}{55} \)
From the base price level of 100 in 1981, Saudi Arablan and U.S. price levels in 2010 stood at 240 and 100 , respectively. Assume the 1981$/rlyal exchange rate was $0.42 rlyal. Suggestion: Using the purchasing power parity, adjust the exchange rate to compensate for Inflation. That Is, determine the relative rate of Inflation between the United States and Saudi Arabia and multiply this times $/riyal of 0.42. What should the exchange rate be in 2010 ? (Do not round Intermedlate calculatlons. Round your answer to 2 decimal places.)
The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.
The formula for calculating the relative rate of inflation is:
Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1
Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:
Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4
Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:
Adjusted Exchange Rate = 0.4 * $0.42 = $0.168
Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:
Exchange Rate in 2010 = $0.42 + $0.168 = $0.588
Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.
Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.
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can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
solve the equation
48= y + 5y
48=y+5y
pretend that there is a 1 in front for the y
48=1y+5y
add the like terms first
1y+5y=6y
48=6y
divide both sides by 6 to get y by itself
48/6=6y/6
8=y
answer:
y=8
Answer:
y = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
48 = y + 5y
Step 2: Solve for y
Combine like terms: 48 = 6yDivide 6 on both sides: 8 = yRewrite: y = 8Step 3: Check
Plug in y into the original equation to verify it is a solution.
Substitute in y: 48 = 8 + 5(8)Multiply: 48 = 8 + 40Add: 48 = 48Here we see that 48 does indeed equal 48.
∴ y = 8 is a solution of the equation.
How do I solve this?
Step-by-step explanation:
you can solve cos(u) by
cos(u) = adjecent / hypotenes...general formula of cos
cos(u) = √44 / 12
cos(u) = 2√11 / 12 ..... √44 = √4×11 = 2√11
cos(u) = √11 / 6
u = cos^-1 ( √11 / 6 ) ..... divided both aide by cos ( multiple by cos invers )
u = 56.442 .... so we get it's angle
Answer:
\(cos(U)=\frac{\sqrt{11} }{6}\)
Step-by-step explanation:
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. Therefore, we have:
cos(U) = adjacent/hypotenuse = TU/SU
We are given that TU = sqrt(44) and SU = 12, so:
cos(U) = sqrt(44)/12
To simplify this expression, we can first factor 44 into 4 * 11, since 4 is a perfect square and a factor of 44:
cos(U) = sqrt(4 * 11) / 12
cos(U) = (sqrt (4) * sqrt (11)) / 12
cos (U) = (2 * sqrt (11)) / 12
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
cos(U) = sqrt(11)/6
Therefore, the exact value of cos(U) in simplest radical form is sqrt(11)/6
Furthermore, if you want another way to write the answer, dividing by 6 is the same as multiplying by 1/6 so you can do cos (U) = 1/6 * sqrt (11)
Although the other individual was correct that you use inverse trig (cos ^ -1) to find the measure of U, getting an exact answer requires us to leave it in simplest radical form since the number is so large and at best will yield an approximation if you don't keep it in simplest radical form.
1) A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12
feet every hour it is used. Predict the change in the drill's position each day. Begin by making an estimate. About how much does the drill's position change in one day?
--65 feet
-50 feet
-5 feet
-2 feet
Answer:
-50
Step-by-step explanation:
I got it correct on iReady Practice: Multiply and Divide Rational - Practice - Level G.
-5 1/12 x 10
The required change in the position of the drill in one day is given as 50 feet. Option B is correct.
Given that,
A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12 feet every hour it is used.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Drill length = 5 1 / 12 = 61 / 12 feet per hour
For 10 hours in a day drill length = 61 / 12 [10] = 50.833 or 50 feet.
Thus, the required change in the position of the drill in one day is given as 50 feet. Option B is correct.
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In the fall of 2002, a group of scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60.0 kg. (The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction.) Neptunium has a density of 19.5 g/cm^3.
What would be the radius of a sphere made of this material that has a critical mass?
The radius of a sphere made of Neptunium-237 having a critical mass of about 60 kg and density of 19.5 g/cm3 is about 10.7 cm.
Neptunium-237 is a fissionable material that has a density of 19.5 g/cm³. The critical mass of this material is the minimum amount that must be brought together to initiate a nuclear chain reaction. In this case, the critical mass of Neptunium-237 is approximately 60.0 kg. We need to determine the radius of a sphere made of this material that has a critical mass.
To solve this problem, we first have to convert the density to kg/m³.19.5 g/cm³ x 1000 kg/m³ / 1 g/cm³ = 19500 kg/m³The formula for the volume of a sphere is V = 4/3πr³.To find the radius, we have to rearrange the formula to r³ = V x 3/4πr³ = m / p, where m is the mass and p is the density. r³ = (60.0 kg) / (19500 kg/m³) = 0.00308 m³r = (0.00308 m³ × 3 / 4π)1/3 = 0.107 m. Therefore, the radius of the sphere made of Neptunium-237 having a critical mass of about 60 kg and density of 19.5 g/cm³ is about 10.7 cm.
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Help please Algebra 1
Simplify 4y-6yx+y
If x + 3 = 13, then the value of 5x – 74 is
Answer:
-24
Step-by-step explanation:
We are given two equations and are asked to solve if one equals a certain amount to the other.
Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?
10 of course, therefore x = 10, and we can implement into the other equation.
5x - 74
Since x = 10, we can substitute x with 10 and then multiply.
5(10) - 74
50 - 74
What is 50 - 74?
-24
Solve the system of linear equations by substitution.
\( \large{\red{\underline{\bf{Required \: Solution \: : }}}} \)
Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.
y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.
\(: \implies \: \sf{y \: = \: 4x \: - \: 10}\)
\(: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}\)
\(: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}\)
\(: \implies \: \sf{x \: = \: 4x \: - 6}\)
\(: \implies \: \sf{x \: - 4x \: = \: - 6}\)
\(: \implies \: \sf{ - 3x \: = \: - 6}\)
\(: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}\)
\(: \implies \: \sf{ 3x \: = \: 6}\)
\(: \implies \: \sf{ x \: = \: \dfrac{6}{3} }\)
\(: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }\)
\(: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar\)
Therefore, value of x is 2..!!
Finding out value of y :
Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.
\(: \implies \: \sf{ y \: = \: x \: - \: 4 }\)
\(: \implies \: \sf{ y \: = \: 2 \: - \: 4 }\)
\(: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar\)
Therefore, value of y is -2.
3 / 4/9 help pleasee
Answer:
3/4 divided by 9 (break it down) = 1/12