John can change four tires on a car
in a half hour. How many tires can
he change in 6 hours? How many
cars is that? How long does it take
John to change one tire?
formula for density
formula for density
Answer:
The formula for density (ρ) is:
Density (ρ) = Mass (m) / Volume (V)
Step-by-step explanation:
Where:
Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).(-3,4) (-2,5) (-1, 10), (0,4) (1,6)
function or non function
Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
write and solve an inequality that means a number plus four than or equal to twelve.
The correct answer for the solution of inequality is \(x\geq 8\).
Let the unknown number be "\(x\)."
The statement "a number plus four" can be written as "\(x+4\)."
The phrase "is greater than or equal to twelve" can be expressed as "\(\geq 12.\)
Put these together, the inequality becomes:
\(x + 4\geq 12\)
solve for "\(x\)," isolate the variable on one side of the inequality:
Subtract -\(4\) from both side of the expression:
\(x + 4 - 4 \geq 12 - 4\)
\(x\geq 8\)
The correct expression for the inequality is \(x\geq 8\)
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Which of the following equations are
true? Select all that apply.
A 7 +(-7) – 14
B +
-4 + 9 - 5
C 3- (-10) = -7
D-2-6-8
Answer:
A. B. D. NOT C
Step-by-step explanation:
i don't know if you wrote anything wrong but this is correct if you are correct
9/14×7/6 in the simplest form
Answer:
3/4
Step-by-step explanation:
\(\frac{9}{14} \times \frac{7}{6} \\ \\ =\frac{3}{14} \times \frac{7}{2} \\ \\ =\frac{3}{2} \times \frac{1}{2} \\ \\ =\frac{3}{4}\)
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Give the domain and range.
123
101
a. domain: {1, 2, 3), range: (1, 0, 1}
b. domain: {-1, 0, 1), range: {1, 2, 3}
c. domain: {1, 0, 1), range: {1, 2, 3}
d. domain: {1, 2, 3), range: {-1, 0, 1}
Answer:
a is your correct answer
A grocery store is placing an order for dairy products. there are 8 varieties of dairy products sold in cases, where each case contains all the same variety of dairy products. the store will order 50 cases in total. 1) How many ways are there to place the order? 2)one of the varieties of dairy products is milk. how many ways are there to place the order if they order at most 20 cases of milk
We have 50 cases to distribute among 8 varieties of dairy products, with a restriction of 20 cases of milk.
How find the total number?To find the total number of ways to place the order, you can use the binomial coefficient formula, which is often used in combinatorics to count the number of ways to choose k items from a set of n items without regard to order. In this case, you have 8 varieties of dairy products and you want to choose 50 cases in total, with no regard to the order in which you choose the cases. So, the number of ways to place the order is:
(n k) = (8 50) = 8! / (50! (8-50)!) = 8! / (50! (-42)!) = 8! / 50! = 87654321 / (50494847464544434241)
This is a very large number, and it's impractical to calculate it exactly.
To find the number of ways to place the order if they order at most 20 cases of milk, you can use a similar approach, but with a restriction on the number of cases of milk. One way to do this is to use the stars and bars method, which is a combinatorial method for counting the number of ways to distribute n identical items into k distinguishable containers, with a restriction on the number of items in some of the containers.
In this case, we have 50 cases to distribute among 8 varieties of dairy products, with a restriction of 20 cases of milk. So, the number of ways to place the order is:
(50 + 8 - 1) choose (8 - 1) = 56 choose 7 = 56! / (7! 49!) = 56555453525150 / (7654321) = 807,794,400
This is the number of ways to place the order if they order at most 20 cases of milk.
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Multiply. −1 2/3 x (−5 1/4)
5 1/6
-8 3/4
−5 1/6
8 3/4
8.75
Step-by-step explanation:-1 2/3 × (-5 1/4)
=35/4
= 8 3/4
= 8.75
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
what statements are true about this function
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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L 1.6.3: Square RootsQuestion 3 of 10A perfect square is a number that has an integer square robt.OA. TrueOB. False
A perfect square is a number that can be expressed as the product of two equal integers.
Examples of a perfect square are 4, 16, 25, and so on.
Therefore, the statement is TRUE.
A single filer had a taxable income of $90,725. Base on table, what is is the tax?
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?
Answer:
The bus was 1250 meters away from schoolStep-by-step explanation:
Given that the total distance of the school from home is 6km
converting 6km to meters we have 6,000m
Since the bus stopped at 4750 meters from his home.
The remaining distance is the distance the bus is from his school
i.e \(6000-4750= 1250 meters\)
What is one thousand minus on hundred and ten
Answer:
The answer is 890 . ...... :D
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.
We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.
Given elliptical form is:
x²/47,472,100 + y²/44,222,500 = 1,
or, x²/6,890² + y²/6,650² = 1.
The radius of the Earth, R = 6,370 km.
We know that the standard elliptical form is:
(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.
b = The minor axis (the shorter axis).
On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.
The distance between the satellite and the surface of the Earth, d, is given as follows:
d = a - R
Which gives;
d = 6,890 km - 6,370 km = 520 km.
Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
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bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B)
Step-by-step explanation:
Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total ( = 30 )
and it says 18 plus, you only add 18 one time ( 18 + )
and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number
Put it all together and you get 18 + 0.12x = 30
Hope this helps dude
Please answer for 20 points
Answer:
-by-step explanation:
The result:
1. 1 3/4 = 7/
4
= 1 3/
4
= 1.75
2. is 4
An ostrich that is it so many inches tall is 12 in taller than three times the height of a kiwi. What is the height of a kiwi in inches?
Answer:
the height should be 4.
Step-by-step explanation:
because 12 divided by 3 is 4
Which of the following was the immediate cause of the Sepoy Rebellion?
The immediate cause for the revolt was the introduction of the new Enfield rifle to the British Indian Army.
Answer:
Indian soldiers were forced to use pig- and cow-based cartridges in their guns.
Step-by-step explanation:
Here we reproduced the distribution from the simulation for 1025 random answer sets.
The variable is the proportion of matches with Student A's wrong answers on 16
questions. Suppose that a student had 4 matches with Student A's wrong answers on
these 16 questions.
What could we conclude?
Answer:
Okay. Somebody used as most to do this question because of the complexity of it, it gets a little time consuming to do it by hand. We have a committee. We need six people from a 22 of them were gonna be our president or vice president. And so because we're naming those thoughts, the order is important there. So the first thing I'm gonna do is find that that's gonna be 20 juice to row. Other four members are just coming from the remaining students.
So times this time is going to be the combination of the remaining 18 students of which I'm choosing for from. And so my answer is going to be 1,162,800 possible ways.
A sphere and its dimension are shown in the diagram 15 inches
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint
Answer:
10:18 10 gal of blue paint and 18 gal of yellow paint.
Step-by-step explanation:
Answer:
i'm going to guess either 5:9 or 9:5...
Step-by-step explanation:
Log(10) u = 3/2 log(10) 4
u = 8
Step-by-step explanation:
log(10) u = log(10) 4^(3/2)
or
u = 4^(3/2)
= [sqrt(4)]^3
= (2)^3
= 8