Answer:
13.08 United States Dollars
The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?
Please mark as brainliest
Answer:
we know that, Volume of cube=a³
Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)
Step-by-step explanation:
ATQ: 2x=a³ and, x=A³
a=³√2x and, A=x
we know that, surface area of cube is 6a²
Thus, surface area of 1st cube = 6(³√2x)²
= 6³√4x²
Surface area of 2nd cube=6(x)²=6x²
Ratio of S.A=(6³√4x²)÷(6x²)
Ratio of S.A=³√4:1
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PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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Pls help yall thanks ... right answer gets the brainliest
There is 2 solutions
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is 90 kg?
Answer:
30 weeks
Step-by-step explanation:
Step-by-step explanation:
1 week -500
2 week -1kg
105-90
15
15 .2
30
there fore its take 30weeks to reduce his weight to 90kg
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence
The crime that is often alcohol related is domestic violence. That is option D.
What is domestic violence?Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.
The causes of domestic violence include the following:
History of violent victimization.Attention deficits, hyperactivity, or learning disorders.History of early aggressive behavior.Involvement with drugs, alcohol, or tobaccoTherefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.
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Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest
Answer:
15 meters per second
Step-by-step explanation:
60/4 = 15
Answer:
15 meters per second
Some one just help mann
Answer:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)
Step-by-step explanation:
Triangle ABC has the following vertices:
A (-2, -2)B (-4, -3)C (-2, -5)The formula for a dilation with a scale factor of r and centerpoint of the origin is:
(x', y') = r(x, y)Given the scale factor is 3, to determine the coordinates of the vertices after dilation, all we need to do is multiply them by 3.
Vertex Ax' = 3(-2) = -6y' = 3(-2) = -6Therefore, A' has coordinates (-6, -6).
Vertex Bx' = 3(-4) = -12y' = 3(-3) = -9Therefore, B' has coordinates (-12, -9).
Vertex Cx' = 3(-2) = -6y' = 3(-5) = -15Therefore, C' has coordinates (-6, -15).
Therefore, the coordinates of the dilated vertices are:
A' = (-6, -6)B' = (-12, -9)C' = (-6, -15)Write an algebraic expression that represents each purchase.
a. Dr. Lin bought x number of soccer balls and 4 baseballs.
b. Nestor, Felix, Peter, and Hao are on a baseball team. They each bought a baseball and x pairs of sweat socks.
26. Suppose x has the same value in both of the expressions you wrote for 25. Are the two expressions you wrote for 25 equivalent? Explain.
27. Sophia says that the algebraic expression 4
4
5x, where x represents the cost of a baseball, describes the cost of a soccer ball. Do you agree? Explain.
1. An algebraic expression that represents each purchase is as follows:
a) 15x + 24b) 5x + 24.2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.
3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.
What is an algebraic expression?An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.
a) 15x + 4(6) = 15x + 24
b) 4(6) + 5x = 24 + 5x or 5x + 24
c) Cost of a soccer ball = $15
Cost of a baseball = $6
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Question Completion:Soccer balls = $15 each
Baseballs=$6 each
Sweat socks =$5 per pair
The members of the PTA are ordering pizza for a meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many cheese pizzas will they order if they order 15 pepperoni pizzas?
Answer
45 pepperoni, 30 cheese pizza
Step-by-step explanation:
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
The weight, in pounds , of Mike's five pet dogs are listed below.What is the mean absolute deviation (MAD) of the weights?
16 , 23 , 27 , 41 , 53
Type the answer in the box.
______ pounds
Answer:
it would be 32
Step-by-step explanation:
you would add them all up then divide it by five
Answer: The answer is 32
Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18
(My answer is a guess so please show your work if you answer this question!)
thank you:)
Answer:
x + 2
Step-by-step explanation:
Area = x² + 11x + 18
length = x + 9
width = ?
Area = length x width
Factor the polynomial x² + 11x + 18:
length x width = (x + 9)(x + 2) = x² + 11x + 18
The length is x + 9, therefore the width is x + 2
Please tell me please
Answer:
C
Step-by-step explanation:
It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%
Answer:
a or c
Step-by-step explanation:
4
Which equation does not have a solution?
A. -3d + 7 = -9
B. 8d + 7 = -4(-2d - 4)
C. 54+ 15 = 15
D. 2(d' + 6) = -2d - 12
Answer:
Option BStep-by-step explanation:
A.)
➝ -3d + 7 = -9
➝ -3d = -7 - 9
➝ -3d = -16
➝ d = -16/-3
➝ d = 16/3
Solution is d = 16/3B.)
➝ 8d + 7 = -4(-2d - 4)
➝ 8d + 7 = 8d + 16
➝ 8d - 8d = 16 - 7
➝ 0 = 9
It has no solution.C.)
➝ 5d + 15 = 15
➝ 5d = 15 - 15
➝ 5d = 0
➝ d = 5/0
➝ d = 0
Solution is d = 0D.)
➝ 2(d + 6) = -2d - 12
➝ 2d + 12 = -2d -12
➝ 2d + 2d = -12 -12
➝ 4d = 24
➝ d = 24/4
➝ d = 6
Solution is d = 6Hence,
(Option B) 8d + 7 = -4(-2d - 4) has no solution.what does 2x-10=4x equal
Answer:
x = -5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
You want the solution to the equation 2x -10 = 4x.
SolutionSubtracting 2x from both sides gives ...
-10 = 2x
Dividing both sides by 2 gives ...
-5 = x
The solution is x = -5.
__
Additional comment
When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:
x -5 =2x
Now subtracting x gives the solution:
-5 = x
It still takes 2 steps, so the approach you take will be the one you're most comfortable with.
<95141404393>
which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Which of the following is a like term for 2v^2?
A.9xv^2
B.2
C.4v^2
D.w7v^2
E.v
F.3x^2
Answer:
C. 4V²
Step-by-step explanation:
Like terms are those whose variables are same.
Both 2v² and 4v² have v² in it.
ASAP AND WILL GIVE BRAINLIEST
What is the range of the function y = e4*?
O y <0
O y > 0
O y <4
O y > 4
Answer:
y > 0
Step-by-step explanation:
\(y = e^{4x}\)
This is an exponential function;
Consider as x → ∞, y → ∞;
If x = 0. y = e⁰ = 1;
As x → -∞, y → 0;
y ranges from 0 to ∞ therefore, i.e. y > 0
You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 apples, 2 bananas, 1 carrot, all for €28. Then on Wednesday 2 apples, 1 banana, 2 carrots, for €23.
Your question is incomplete. Please find the missing content below
You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 apples, 2 bananas, 1 carrot, all for €28. Then on Wednesday 2 apples, 1 banana, 2 carrots, for €23.
Construct a matrix and vector for this linear algebra system.
Matrix is A = [ [ A₁₁ , A₁₂ , A₁₃]
[ A₂₁ , A₂₂ , A₂₃]
[ A₃₁ , A₃₂ , A₃₃] ]
Vector S = [sMon , sTue , sWed]
(i) consider A as fruits
A₁₁ = 1
A₁₂ = 1
A₁₃ = 1
A₂₁ = 3
A₂₂ = 2
A₂₃ = 1
A₃₁ = 2
A₃₂ = 1
A₃₃ = 2
(ii) Consider s as days
sMon = 15
sTue = 28
sWed = 23
Hence the matrix and vector is: A = [ [ A₁₁ , A₁₂ , A₁₃]
[ A₂₁ , A₂₂ , A₂₃]
[ A₃₁ , A₃₂ , A₃₃] ]
Vector S = [sMon , sTue , sWed]
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Mr. Lopez surveyed some of the students in the after-school program to figure out whether he should buy jumbo chocolate chip cookies or cinnamon twists for dessert. The circle graph shows the results. Cinnamon twists were chosen by 12 students. How students said he should buy jumbo chocolate chips cookies?
68 students said that Mr.Lopez should buy jumbo chocolate chip cookies.
What is a circle graph?
A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarise a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments.
Let's say the total number of students = X.
From the circle graph, we can say that 15% of students chose cinnamon twists and their count is 12.
Which means that
\(X*\frac{15}{100}=12\\ X=80\)
Therefore the total number of students is 80.
Among the 80 students except for 12 students, the remaining students asked for jumbo chocolate chip cookies.
Which is equal to 80-12=68.
Therefore 68 students said that Mr.Lopez should buy jumbo chocolate chip cookies.
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If f(x) = 9x10 tan−1x, find f '(x).
90x9tan−1x + 9x10 1 over the quantity 1 plus x squared
90x9tan−1x + 9x10tan−2x
90x9tan−1x − 9x10 1 over the square root of the quantity 1 minus x squared
90x9tan−1x + 9x10 1 over the square root of the quantity 1 minus x squared
those are my choices
Answer:
\(\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle f(x) = 9x^{10} \tan^{-1}(x)\)
Step 2: Differentiate
[Function] Derivative Rule [Product Rule]: \(\displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]\)Rewrite [Derivative Property - Multiplied Constant]: \(\displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]\)Basic Power Rule: \(\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]\)Arctrig Derivative: \(\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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help please dis ish is confusing
Answer: well it is already in that form, and a is -5, b is -1/10, c is -1
Step-by-step explanation:
A spear has a diameter of 14 ft which equation finds the volume of the sphere
The volume of the sphere is 1437.33 ft³
What is volume of sphere?A sphere's volume V is four-thirds of pi times the radius cubed. A hemisphere's volume is half of the volume of the associated sphere.
The volume of a spherical.
V= 4/3 πr³
radius= 7ft
So,
V= 4/3*22/7*7*7*7
V= 30184/21
V = 1437.33 ft³
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One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Side Note: I'd rather not have the answer in a file thank you very much.
Answer:
9 square feet
Step-by-step explanation:
1 acre = 43,560 ft²
1 acre = 4,840 yd²
Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:
43,560 ft² = 4,840 yd²
The question is asking us to find the ft²/yd² ratio, which is found by dividing.
43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)
(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)
43,560 = 4,840x
43,560 / 4,840 = 9
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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triangle ABC is congruent to triangle BAD
What is the length of BD?
What is the measure of <BAD?
Answer:
BD = 16, ∠ BAD = 45°
Step-by-step explanation:
Given that Δ ABC and Δ BAD are congruent, then corresponding sides and corresponding angles are congruent, then
BD = AC = 16
and
∠ BAD = ∠ ABC = 45°
Answer:
BD=16, <BAD=45⁰
the triangle is congruent to triangle BAD is SAS
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?