Answers
Answer:
C
Step-by-step explanation:
h cannot be negative, since that would imply a negative height and negative volume which is impossible. h also cannot be 0, since dividing anything by 0 is undefined. Therefore, h must be positive, or h>0. Hope this helps!
Related Questions
find the slope, (-2,-2) and (1,4)
Answers
X1,Y1 X2,Y2
Y2-Y1/X2-X1
4-(-2)/1-(-2) = 6/3 or 2
at the grocery store, caleb has narrowed down his selections to 5 vegetables, 8 fruits, 3 cheeses, and 7 whole grain breads. he wants to use the express lane, so he can only buy 20 items. in how many ways can he choose which 20 items to buy if he wants all 3 cheeses?
Answers
Caleb can choose which 20 items to buy in 1140 ways if he wants all 3 cheeses.
To choose 20 items at the grocery store, Caleb has narrowed down his selections to 5 vegetables, 8 fruits, 3 cheeses, and 7 whole grain breads. Since he wants all 3 cheeses, he only needs to choose 17 more items.
The number of ways he can choose these 17 items from the remaining vegetables, fruits, and breads is given by the combination: C(5+8+7, 17) = C(20, 17) = 1140.
This formula means that there are 20 items to choose from, and Caleb wants to choose 17. The order doesn't matter, so we use a combination.
Therefore, Caleb can choose which 20 items to buy in 1140 ways if he wants all 3 cheeses.
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I will give brainliest!!!!
Answer two questions about Equations AAA and BBB:
A.3x-1=7
B.3x=8
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answers
Answer:
1. C
2. A
Step-by-step explanation:
Step 1: Write equation
3x - 1 = 7
3x = 8
Step 2: Use 1st equation and solve
3x = 8
x = 8/3
Step 3: Use 2nd equation and solve
3x = 8
x = 8/3
Both equations have equivalent solutions and the 2nd equation is the simplified version of the 1st.
Rewrite the expression as a simplified expression containing one term.
Answers
Answer:
-(cos α)/(sin α)
= -cot α
Step-by-step explanation:
use trigonometric identities
given that 1 pound is is $1.62 how much is $405 in pounds
Answers
Answer:
250 pounds
Step-by-step explanation:
405 ÷ 1.62 = 250pounds
Answer:
£250
Step-by-step explanation:
$405 ÷ 1.62 = £250
Choose the justification for each step in the solution to the equation 6x − 9 = 45.
Answers
Answer: x = 6
First, you subtract 9 from both sides which leaves you with 6x=36
Then, you divide 6 from both sides which is X=6
Hope it helps :)
Find the measure of the missing angle.
Answers
Answer:
a = 52°Step-by-step explanation:
from the picture is a rigth angle (90°)
take off 38 from 90
90 - 38 = 52°
a = 52
Right angle is always 90 degrees
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answers
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
If 3 X 3 X 3 X 3-3, then x
Answers
Answer:
27 is equal to x okay you can multiply and check it out as 3-3 =0 so we will multiply only rest of the three
Answer:
78
Step-by-step explanation:
3×3=9×3=27=3=81-3=78
The perimeter of a rhombus is 20. If the length of its longer downhill measures 8, what is the length of the shorter diagonal?
Answers
Answer:
2
Step-by-step explanation:
rhombus = a parallelogram
so 20 = 2*(8+x)
so x =2
Use spherical coordinates.
y2z2 dV,
where E lies above the cone
ϕ = π/3
and below the sphere
rho = 1.
Answers
To find the integral of y²+ z² over a region E bounded by the cone φ = π/3 and the sphere ρ = 1 in spherical coordinates, we need to set up the integral in terms of the spherical variables.
In spherical coordinates, we have three variables: ρ (rho), φ (phi), and θ (theta). The variable ρ represents the radial distance from the origin, φ represents the polar angle measured from the positive z-axis, and θ represents the azimuthal angle measured from the positive x-axis in the xy-plane.
To set up the integral, we need to express the region E in terms of the spherical variables. The cone φ = π/3 divides the space into two parts: above the cone and below the cone. We are interested in the part of E that lies above the cone. This corresponds to the range of φ values from π/3 to π.
The sphere ρ = 1 represents a solid sphere centered at the origin with a radius of 1 unit. We want to consider the region of E that lies below this sphere. In spherical coordinates, the equation of the sphere can be written as ρ = 1.
To integrate over this region, we need to express the element of volume dV in terms of the spherical variables. In spherical coordinates, the volume element is given by dV = ρ²sin(φ) dρ dφ dθ.
Therefore, the integral becomes:
∫∫∫(y² + z²) ρ² sin(φ) dρ dφ dθ.
The limits of integration for ρ are from 0 to 1, for φ are from π/3 to π, and for θ are from 0 to 2π.
Evaluating this triple integral will give the desired result for the integral of y² + z² over the region E bounded by the cone φ = π/3 and the sphere ρ = 1.
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how do you write 550% as a fraction?
Answers
Answer:
Answer is 11/2.
Step-by-step explanation:
I hope it's helpful!
Answer:
11/2
Step-by-step explanation:
550% is the same as 5.5 because 550/100=5.5
5.5 as a fraction is 55/10, which simplifies to 11/2
1)At Jacob's Hats, 18 out of the 24 hats at the store are baseball caps. What percentage of
hats at the store are baseball caps?
Answers
Answer: the answer is 75 %
Step-by-step explanation: 18 times 100 divided by 24
PLZ HELP ME PLS -~-
Answers
Answer:
its the firs one
Step-by-step explanation:
if 2x ≤ g(x) ≤ x4 − x2 2 for all x, evaluate lim x→1 g(x).
Answers
The limit value is equal to 2 .
Given,
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
According to sandwich theorem,
g(x)≤ f(x) ≤ h(x)
\(\lim_{x \to \ a} g(x) = \lim_{x \to \ a} h(x) = L\)
Then,
L= \(\lim_{x \to \ a} f(x) = L\)
Here we have,
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
And so if we take the limit as x→1; then
\(\lim_{x \to \ 1} 2x = 2\\\\ \lim_{x \to \ 1} x^{4} - x^{2} + 2 = 2\\\)
Thus we can apply the sandwich theorem,
\(\lim_{x \to \ 1} g(x) = 2\)
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Correct expression:
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
One number is 6 times another number and their difference is 30 . find the numbers.
Answers
Step-by-step explanation:
7x6=42. 7+35=42. The numbers are 7 and 42.
Evaluate the following integral. 7 √2 dx S 0 49- What substitution will be the most helpful for evaluating this integral? O A. x = 7 tan 0 OB. x= 7 sin 0 O C. x=7 sec 0 Find dx. dx = de Rewrite the
Answers
The value of the integral ∫√(2) dx from 0 to 49 using the substitution x = 7tanθ is (7π√(2))/4.
To evaluate the integral ∫√(2) dx from 0 to 49, the substitution x = 7tanθ will be the most helpful.
Let's substitute x = 7tanθ, then find dx in terms of dθ:
\(x = 7tanθ\)
Differentiating both sides with respect to θ using the chain rule:
\(dx = 7sec^2θ dθ\)
Now, we rewrite the integral using the substitution\(x = 7tanθ and dx = 7sec^2θ dθ:\)
\(∫√(2) dx = ∫√(2) (7sec^2θ) dθ\)
Next, we need to find the limits of integration when x goes from 0 to 49. Substituting these limits using the substitution x = 7tanθ:
When x = 0, 0 = 7tanθ
θ = 0
When x = 49, 49 = 7tanθ
tanθ = 7/7 = 1
θ = π/4
Now, we can rewrite the integral using the substitution and limits of integration:
\(∫√(2) dx = ∫√(2) (7sec^2θ) dθ= 7∫√(2) sec^2θ dθ\)
\(= 7∫√(2) dθ (since sec^2θ = 1/cos^2θ = 1/(1 - sin^2θ) = 1/(1 - (tan^2θ/1 + tan^2θ)) = 1/(1 + tan^2θ))\)
The integral of √(2) dθ is simply √(2)θ, so we have:
\(7∫√(2) dθ = 7√(2)θ\)
Evaluating the integral from θ = 0 to θ = π/4:
\(7√(2)θ evaluated from 0 to π/4= 7√(2)(π/4) - 7√(2)(0)= (7π√(2))/4\)
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A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answers
Answer:
it would b 2 in half cups of powder
How to use Pythagorean to find the length of each side
Answers
Answer:
The formula would be a squared + b squared = c squared
Step-by-step explanation:
The a and b would be the legs of the triangle (the two shorter sides). The c would be the hypotenuse (The longest side). You would need to plug in the numbers that you have to solve for the missing one.
Determine if 0.69789978997899789 is rational or irrational
Answers
The given decimal 0.69789978997899789 is irrational since 7899 is repeating.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Given the decimal
0.69789978997899789
Now if we see then 7899 is repeating it means it will going to repeat and it ends so it is not apple to write in form of p/q so it will be an irrational number.
Hence "The given decimal 0.69789978997899789 is irrational since 7899 is repeating".
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Need help wit number 13
Answers
Answer:
(0.5,3)
Step-by-step explanation:
Help pleaseeeeee thank you please don’t answer if you don’t know
Answers
Explanation:
Multiply 14 by each side to get rid of it
14•14 cancel out
Then multiply 11•14 = 154
Bring down the Z
Therefore z=154
Brainly please
A student is writing a proof of 2+4+6+8+...+ 2n = n(n+1) and writes the following as part of their proof: Our inductive hypothesis is: P(k): 2 +4 +6 +8+ ... + 2k = k(k + 1). We (A) P(k + 1) is true. That is, (B) : 2 +4+6+8+...+2k + 2(k + 1) = (k + 1)(k + 2). Notice that (C) 2+4 +6+8+ ... + 2k + 2(k + 1) = P(k)+(2k + 2) (C) Is statement (C) correct - if no, explain what is wrong with it and how to correct it.
Answers
Statement (C) is incorrect. The mistake lies in the expression "2+4+6+8+ ... + 2k + 2(k + 1) = P(k)+(2k + 2)." Let's analyze the error and correct it.
How to explain the expressionThe induction hypothesis is stated as P(k): 2 + 4 + 6 + 8 + ... + 2k = k(k + 1). We want to prove P(k + 1) using this hypothesis.
The left-hand side of P(k + 1) is:
2 + 4 + 6 + 8 + ... + 2k + 2(k + 1)
In order to relate it to P(k), we notice that 2 + 4 + 6 + 8 + ... + 2k is already present in P(k). So, we can rewrite the left-hand side as:
[2 + 4 + 6 + 8 + ... + 2k] + 2(k + 1)
[k(k + 1)] + 2(k + 1)
k² + k + 2k + 2
Combining like terms, we have:
k² + 3k + 2
We can factorize this expression to obtain:
(k + 1)(k + 2)
Therefore, the correct statement for (C) should be:
2 + 4 + 6 + 8 + ... + 2k + 2(k + 1) = (k + 1)(k + 2)
This revised statement aligns with the goal of proving P(k + 1) and establishes the correct relationship between the left-hand side and the right-hand side.
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HELP ASAP PLEASE WILL MARK BRAINIEST
Answers
Answer:
its the first one
Step-by-step explanation:
Jack starts to save at age 40 for a vacation home that he wants to buy for his 50th birthday. He will contribute $1000 each quarter to an account, which earns 2. 1% interest, compounded annually. What is the future value of this investment, rounded to the nearest dollar, when Jack is ready to purchase the vacation home?
$11,000
$11,231
$44,000
$44,924
Answers
The future value of the investment when Jack is ready to purchase the vacation home is $44,924.
To solve this problem, we can use the formula for future value of an annuity:
FV = Pmt x [(1 + r)^n - 1] / r
Where:
Pmt = $1000 (quarterly contribution)
r = 0.021 (annual interest rate)
n = 40 (number of quarters until Jack turns 50)
Plugging in the numbers, we get:
FV = $1000 x [(1 + 0.021)^40 - 1] / 0.021
FV = $44,924.38
Therefore, the future value of Jack's investment, rounded to the nearest dollar, is $44,924. So the correct answer is $44,924.
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Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
Answers
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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Find the area of the trapezoid.A trapezoid with the top base labeled six meters and the bottom base labeled four meters. The height is labeled six meters.
Answers
Given: The dimension of a trapezoid as shown below
\(a=6m,b=4m,h=6m\)To Determine: The area of the given trapezoid
Solution
The formula for finding the area of a trapezoid is
\(A_{\text{rea}}=\frac{1}{2}(a+b)h\)Substitute the given into the formula
\(\begin{gathered} A_{\text{rea}}=\frac{1}{2}(4+6)\times6 \\ A_{\text{rea}}=\frac{1}{2}(10)\times6=30m^2 \end{gathered}\)Hence, the area of the trapezoid is 30m²
What do I know about a unit rate?
Answers
Answer:
Unit Rate: Compare quantities in which the second quantity is one, this is the definition of unit rating.
Which of the following absolute value equations has no solutions? ∣∣=0∣∣=2∣∣=−3
Answers
To find out the option in which the absolute value equations has no solutions:
We know that, any absolute value equation is equal to a negative number is no solution.
Because, the absolute value of a number is its distance away from zero.
Hence, ∣∣=−3 is an absolute value equations has no solutions.
Please help ASAP! Will Mark Brainliest!
Answers
4/5=m/10
m=8
Answer:
m = 18
Step-by-step explanation:
10/15 = m/12
Cross multiply using the butterfly method.
15m = 10*12
15m = 120
Divide both sides by 15.
m = 8
I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer