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stiks02 [169]
3 years ago
9

Caslan where have you been

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

he may  have disappeared but he is probably alive

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Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre
NeTakaya

Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

S = 3D

S = R - 5

S + R+ D = 10 +4D

Required

Determine the value of R

S + R+ D = 10 +4D

Solve for R

R = 10 + 4D - D - S

R = 10 + 3D - S

Recall that S = 3D

Substitute 3D for S

R = 10 + 3D - 3D

R = 10

Hence;

<em>She caught 10 rabbits</em>

8 0
3 years ago
Levi's car used 8 gallons of gas to drive 280 miles. At what rate does his car use gas in gallons per mile? Express your answer
Svetach [21]

Answer:

35 miles

Step-by-step explanation:

5 0
3 years ago
I need help finding the values of the last boxes shown in the image.
Bingel [31]

The volume of the region R bounded by the x-axis is: \mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

<h3>What is the volume of the solid revolution on the X-axis?</h3>

The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.

In the graph, the given straight line passes through two points (0,0) and (2,8).

Therefore, the equation of the straight line becomes:

\mathbf{y-y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}

where:

  • (x₁, y₁) and (x₂, y₂) are two points on the straight line

Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:

\mathbf{y-0 = \dfrac{8-0}{2-0}(x-0)}

y = 4x

Now, our region bounded by the three lines are:

  • y = 0
  • x = 2
  • y = 4x

Similarly, the change in polar coordinates is:

  • x = rcosθ,
  • y = rsinθ

where;

  • x² + y² = r²  and dA = rdrdθ

Now

  • rsinθ = 0   i.e.  r = 0 or θ = 0
  • rcosθ = 2 i.e.   r  = 2/cosθ
  • rsinθ = 4(rcosθ)  ⇒ tan θ = 4;  θ = tan⁻¹ (4)

  • ⇒ r = 0   to   r = 2/cosθ
  •    θ = 0  to    θ = tan⁻¹ (4)

Then:

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^2 (rdr d\theta )}

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

Learn more about the determining the volume of solids bounded by region R here:

brainly.com/question/14393123

#SPJ1

5 0
2 years ago
A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.32?
telo118 [61]
The tax rate on a dollar would be .08% you have 4 dollars you have 32 cents tax 4 divided in to 32 is 8. So for each dollar you pay 8 cents.
3 0
3 years ago
This is for union and intersection. I need help.
oksano4ka [1.4K]

Problem 11) Start with set U = {1,2,3,4,5} and cross off 1,2,3 to be left with A' = {4,5}. We basically erase everything found in set A. You have the correct answer. Nice job.

Problem 12) Start with U = {1,2,3,4,5} and erase '5' to be left with {1,2,3,4}. So B' = {1,2,3,4}. You are correct here as well.

I can't help with the other problems since either letters, numbers or symbols are missing. Please make a new post and provide those updates.

6 0
3 years ago
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