Answers
Step-by-step explanation:
x^3 = 512 take cube root of both sides
x = 8
x^3 = 1000
x = 10
Related Questions
The engine of a car has a displacement of 307 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.
Answers
Answer:
5.03 L
Step-by-step explanation:
we know that 1 inch = 2.54 centimeters
(1 inch)3 = (2.54 cm)3
1 in3 = 16.387 cm3
therefore
volume in cm^3 = (volume in in3) x (16.387 cm3/1 in3)
volume in cm3 = (307x 16.387) cm^3
volume in cm3 = 5030.809cm^3
let us convert to liters.
we know that
1 L = 1,000 cm3
volume in L = (volume in cm3) x (1 L/1,000 cm3)
volume in L = (5030.809/1,000) L
volume in L = 5.03 L
307 cubic inche engine displaces 5.03 L
resilient responses are thought to be a result of three factors, name them
Answers
Resilient responses, often observed in individuals or communities facing adversity, are generally attributed to three key factors: individual characteristics, external support, and learned behaviors. These factors interact and contribute to a person's ability to adapt, recover, and thrive in challenging situations.
Individual characteristics include inherent traits such as optimism, emotional intelligence, and self-efficacy. These personal attributes play a crucial role in shaping how individuals perceive and cope with stressors, ultimately determining their resilience.
External support encompasses the availability and quality of resources provided by a person's social network, including family, friends, and professional support services. Access to reliable and consistent support systems enhances resilience by providing emotional, informational, and tangible assistance during difficult times.
Learned behaviors refer to the strategies and coping mechanisms developed over time through experience and guidance. Acquiring problem-solving skills, developing healthy coping strategies, and cultivating a growth mindset can all contribute to a more resilient response to adversity.
In summary, resilient responses are influenced by a combination of individual characteristics, external support, and learned behaviors. These factors work together to determine a person's ability to adapt and recover from life's challenges. By nurturing these aspects, individuals and communities can cultivate greater resilience and improve their overall well-being.
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Write as an equation and solve: Eight less than the number is 31.
Answers
Step-by-step explanation:
x is the number
so, the equation is
x - 8 = 31
x = 39
Answer:
n is the number
Step-by-step explanation:
n-8=31
n = 39
hoped that helped:P
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
Answers
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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f(x)=x^2 what is g(x)
Answers
The equation of the function, g(x) is g(x) = (x - 2)²
How to calculate the equation of the g(x)From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The blue graph passes through the vertex (0, 0)The red graph passes through the vertex (-2, 0)This means that
g(x) = f(x - 2)
Recall that
f(x) = x²
This means that
g(x) = (x - 2)²
This means that the equation of g(x) is g(x) = (x - 2)²
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Question
The graph shows the function f(x) = x² in blue and another function g(x) in red.
What is g(x)
a g(x) = -x²
b. g(x)=x²-2
c. g(x)=x² + 2
d. g(x) = (x - 2)²
Which of the following expressions is equal to x^2+16?
A. (x + 4i)(x-4i)
B. (x +4i)^2
C. (x-4i)^2
D. (x + 2i)(x - 8i)
Answers
Answer:
A
Step-by-step explanation:
x² + 16 = 0
x² = - 16
x² = i² * 4² {i² = -1}
x² = (4i)²
x=√(4i)²
x=±4i
x² + 16 = (x + 4i)(x - 4i)
Functions or Not a Function? Explain?
Answers
The x table increases by a constant amount, 1. While the y table increases by different amounts, making it not a function.
also if you graphed this, it would not be a line, making it not a function.
Hope this helped!! :)
Answer:
function
Step-by-step explanation:
To be a function, each value of the x-coordinate can be used only once. In other words, all x-coordinates must be different.
Here, the x-coordinates are all different, so it is a function.
Identify a quadratic function that fits the points (−3, −7),(0, −4), and (2, −12).
Answers
By solving a system of equations we will see that the quadratic equation is:
y = 3*x^2 - 10*x - 4
Which system of equations has the given points?We know that a general quadratic function can be written as:
y = a*x^2 + b*x + c
Here we know that the equation passes through (0, -4), replacing these values:
-4 = a*0^2 + b*0 + c
-4 = c
Then the quadratic equation is:
y = a*x^2 + b*x - 4
Now we can use the other two points (-3, -7) and (2, -12), replacing these values we will get a system of equations:
-7 = a*(-3)^2 + b*(-3) - 4
-12 = a*(2)^2 + b*(2) - 4
We can simplify these equations to get:
-3 = 9a + 3b
-8 = 4a + 2b
We can isolate b on the second equation to get:
2b + 4a = -8
2b = -8 - 4a
b = (-8 - 4a)/2
b = -4 - 2a
Now we can replace that in the other equation to get:
-3 = 9a + 3*(-4 - 2a)
-3 = 9a -12 - 6a
-3 + 12 = 3a
9 = 3a
9/3 = a
3 = a
And the value of b is:
b = -4 - 2a
b = -4 - 2*3
b = -4 - 6 = -10
Then the quadratic equation is:
y = 3*x^2 - 10*x - 4
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2.5 - 5.8n - 4n + 6 =
Answers
Answer:
Simplify: -9.8n + 8.5
Step-by-step explanation:
2.5 - 5.8m - 4n + 6
(-5.8n - 4n = -9.8n)
( 2.5 + 6 = 8.5)
-9.8n + 8.5
Sorry if this isn't what you meant!
Hank runs a successful hot dog stand right across from the arch at the University of Georgia in downtown Athens. Hank has to order his hot dogs, buns, mustard, relish, and all other condiments in bulk, as well as pay taxes, licensing fees, and other small business expenses. Therefore, Hank has a relatively large “sunk” cost associated with his business – it averages out to $950 per week just to keep the cart open. The cost of producing hot dogs is given by C(h) = 950 + .45(h). Where h is the number of hot dogs and C(h) is the cost. If he sold 100 hotdogs at $10.25 each, how much profit would he make for the week?
Answers
The profit he would make in one week is $30.
What is Hank's profit?Profit is the total revenue less total cost.
Total revenue = price of one hot dog x number of hotdogs sold
$10.25 x 100 = $1025
Total cost = 950 +( 0.45 x 100)
950 + 45 = 995
Profit = 1025 - 995 = $30
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Using R, construct and store a 4 x 2 matrix that is filled row-wise with the following values: 4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, and 6.5, in that order. Using R, overwrite the second column of the matrix you have created in Q6 with the following numbers: 8, 9, 11, and 17 in that order. Save your updated matrix to an object named BruceLee.
Answers
To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:
# Create the matrix
myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)
This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.
To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:
# Overwrite the second column
myMatrix[, 2] <- c(8, 9, 11, 17)
This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.
Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:
# Save the updated matrix
BruceLee <- myMatrix
Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.
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If the quadrilateral below is a trapezoid, solve for x.
X =
Answers
Answer:
x = 7
Step-by-step explanation:
Angle S and angle V are supplementary angles which means their sum is equal to 180°.
We can write the following equation to find the value of x based on the above mentioned information:
8x - 21 + 145 = 180
Add/subtract like terms8x + 124 = 180
Subtract 124 from both sides8x = 56
Divide both sides by 8x = 7
Como expresar este ejercisio por cada 6 cuadrados hay 3 círculos.
Answers
The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:
Ratio FormProportional statement Equation form How to express the exercise ?This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.
The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.
You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.
There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.
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The translated question is:
How to express this exercise for every 6 squares there are 3 circles.
Is 30/50 equivalent to 3:5
Answers
Step by step equation:
A
6) Find Total Surface Area of the shape.
9 km
3 km
7
5 km
4 km
Answers
Answer:
120km^2
Step-by-step explanation:
9x3=27
9X5=45
9x4=36
3x4/2=6
3x4/2=6
27+45+36+6+6=120
I need to show the work. Please help
Answers
Answer:
18
Step-by-step explanation:
125 = 7x - 1 ...... because if the two lines are parallel alternate interior angles are congruent
125 + 1 = 7x
126 = 7x
\( \frac{126}{7} = \frac{7x}{7} \)
x = 18
hope it helps
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An isosceles trapezoid has a perimeter of 41 in. Its short base measures 1 inch and its longer base measures 2 inches. the two remaining sodes have the same length what is that length ?
Answers
Answer:
it is 6 inches
Step-by-step explanation:
can anyone show how to do this....6840 ÷ 7
Answers
6840 ÷ 7 = ?
6840 | 7
63 977
=54
49
=50
49
=1
⇒ 6840 ÷ 7 = 977 remainder 1
Aidan has $25. He plans to save $7 each week. How many weeks does he need to work in order to have saved $130? Enter an equation that models the situation with w, the number of weeks
Answers
Answer:
has 25, wants 130, so he needs to save (130-25)= 105.
105/7= 15 weeks
25+7w= 130
Answer:b
Step-by-step explanation:
My teacher gave me the answer
evaluate the integral ∫∫s xyz ds, where s is that part of the plane z=4−y that lies in the cylinder x2+y2=4 using the method of your choice. question content area bottom part 1 as a first step, set up the surface integral for the given function over the given surface s as a double integral over a region r in the xy-plane. ∫∫s xyz ds=∫∫renter your response here da (type an exact answer, using radicals as needed.)
Answers
The integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.
To evaluate the given integral ∫∫s xyz ds, where s is the part of the plane z=4−y that lies in the cylinder x^2+y^2=4, we can use the method of our choice. Let's use the method of cylindrical coordinates.
1. Set up the surface integral for the given function over the given surface s as a double integral over a region r in the xy-plane.
∫∫s xyz ds = ∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA
2. To find the region r, we need to determine the bounds for the cylindrical coordinates. Since the cylinder has radius 2, we have 0 ≤ ρ ≤ 2. The z-coordinate ranges from the plane z = 4-y to the plane z = 0. Thus, the bounds for z are 0 ≤ z ≤ 4-y.
3. Convert the integral into cylindrical coordinates by substituting x = ρcosθ and y = ρsinθ.
∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA
= ∫∫r ρ^3cosθsinθ(4-y) √(1 + (-sinθ)^2 + (-cosθ)^2) dρdθ
4. Evaluate the double integral by integrating with respect to ρ first and then θ.
∫∫r ρ^3cosθsinθ(4-y) √2 dρdθ
= √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ
Therefore, the integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.
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Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.
Answers
Answer:
200/25×1
=8 gold coins
Step-by-step explanation:
The required number of gold coins he needs is given 8 coins.
Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.
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,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins
Thus, the required number of gold coins he needs is given 8 coins.
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The figure below is a right rectangular prism.
X
W
Intro
M
N
x
Y
N
O
12
2-
T
Which expression represents the volume of the prism?
01
(1²
01/1²
27
4
Done
Answers
the volume of the rectangular prism is 1/2 x³.
What is rectangular prism?
The normal's length from the prism's base to its top base serves as a gauge for the structure's height. At their base, certain prisms have an angle. Prism's top end is referred to as the "base" since the word "base" can refer to either end of a prism. The area (A) of the base of a prism's base times its height (H) equals the prism's volume (V). Since A is the base area and H is the prism's height, the volume of the prism is therefore A H cubic units.
The base area is A = x*x =x²
The height is 1/2 x
The volume of the rectangular prism is A*H = 1/2 x³.
Hence the volume of the rectangular prism is 1/2 x³.
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I NEED HELP ASAP I WILL MARK YOU AS BRAINLYLIST
Answers
Answer:
Step 2 Hope this helps
Step-by-step explanation:
Answer:
step:2
Step-by-step explanation:
12x-6=14+2x it must be there.
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answers
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
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Question Help
0
1.2.9
At first, a bucket has 640 ounces of water in it. Due to a small leak, it loses 3 ounces of water per
minute. What equation relates the amount of water left in the bucket y in ounces to the time x in
minutes? Assume the relationship is linear.
The equation is y=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Enter your answer in the answer box and then click Check Answer
CHAI
All parts showing
Back
Next >
GROS
Answers
Answer:
y=640-3x
Step-by-step explanation:
The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.
What will you get if you multiply the first equation below by 2 and add the result to the second equation?
Answers
Answer:
11x - y = -8
Step-by-step explanation:
Multiplying the first equation by 2 will result in 6x-8y = 10. Adding that to 5x+7y=-8 will be 11x - y = -8.
A particular cola brand advertises that each can contains 12 ozs. of soda. Ten cans are selected at random and the contents are measured. A 95% confidence interval constructed from the sample data is 11.97 ozs. to 12.05 ozs. Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ozs.
Answers
According to the question, the confidence interval does not include the value of 12 ozs, indicating that the true mean volume could be different. This provides some evidence to suggest that the advertised claim of 12 ozs may not hold true.
To determine if the confidence interval provides convincing evidence that the true mean volume is different than 12 ozs, we need to examine whether the interval contains the value of 12 ozs or not.
In this case, the confidence interval is constructed from the sample data and is given as 11.97 ozs. to 12.05 ozs. Since the interval does not include the value of 12 ozs, it suggests that the true mean volume may be different from 12 ozs.
When constructing a confidence interval, we specify a confidence level, which in this case is 95%. This means that if we were to repeat the sampling process multiple times and construct confidence intervals using each sample, approximately 95% of those intervals would contain the true mean volume.
However, in this particular instance, the confidence interval does not include the value of 12 ozs, indicating that the true mean volume could be different. This provides some evidence to suggest that the advertised claim of 12 ozs may not hold true.
The \(95\%\) confidence interval is constructed as (11.97, 12.05).
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How many solutions are there to the equation below? hs
6x + 30 + 4x = 10(x + 3)
Answers
Answer: Infinity solution
Step-by-step explanation:
6x + 30 + 4x = 10x + 30
10(x + 3) = 10x + 30
10x + 30 = 10x + 30
HELP ASAP PLEASE!!!!!!!!!!!!!
Answers
Step-by-step explanation:
-2=--4(1)+b
I gotchuu
Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answers
Answer:
20 weeks
Step-by-step explanation:
To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:
(16*1/2)*x=((9*2/3)*x)+40, where
x is the number of weeks
Now, you have to solve for x:
8x=6x+40
8x-6x=40
2x=40
x=40/2
x=20
According to this, the answer is that it will take them 20 weeks to have the same amount in savings.