what’s 12.56981 rounded to nearest hundredth?

Answer:

y value also increases

Step-by-step explanation:

As the X value (also known as the independent variable) of the equation y = 2x + 80 increases, the Y value (also known as the dependent variable) will also increase. This is because the coefficient of the X term (2) is positive, which means that for every increase in the X value, the Y value will also increase by an amount equal to twice the increase in the X value.

For example, if the X value increases from 2 to 3, the Y value will increase from 84 (which is calculated as 22 + 80) to 86 (which is calculated as 23 + 80). Similarly, if the X value increases from 3 to 4, the Y value will increase from 86 to 88, and so on.

You did not copy the image with the question. Sometimes you have to screenshot or use the Snip-it app to get the image.

False. The orthogonal projection of y onto a subspace W is never reliant on any particular basis and always depends simply on W.

The term "orthogonality" can be used when the vector space contains an inner product and is complete (i.e., wh

en it's a Hilbert space). When the range and the null space are orthogonal subspaces, the projection is said to be orthogonal.

In order to portray three-dimensional objects in two dimensions, orthographic projection (also known as orthogonal projection and analemma) is used. Every plane of the picture appears in an affine transformation on the viewing surface thanks to orthographic projection, a type of parallel projection in which all of the projection lines are orthogonal to the projection plane. An oblique projection, also known as a parallel projection in which the projection lines are not orthogonal to the projection plane, is the reverse of an orthographic projection.

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On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.

Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.

As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.

For green -

=> x = 76° ( both side are same)

For orange -

=> x = 90°

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Answer:

All Correct! The corinates on the graph are all graphed in the correct position.

Answer:

Yes, you are correct.

Step-by-step explanation:

hmmm let's recall from https://brainly.com/question/30111897 that's she needs 625 bucks to make it monthly.

so her part-time at 15h at $12 per hour, well, that's just 15*12 = 180 bucks weekly, how many weeks she needs to work?  well, 625 ÷ 180 ≈ 3.47, so pretty much 3 weeks and about 7 hours more, not quite kinda, 3 weeks and 7 hours is really 624, well if she saves a buck somewheres and get a buck that'll do it =), hmmm so one can say 3 weeks and 8 hours I guess, that's 636 bucks, to cover the 625 expenses.

Answer: 1980

Step-by-step explanation:

1. If 4 sessions is 330 dollars, and how much is 24 sessions you have to multiply 4 times 6 and the answer is 24.

2. If 4 times 6 is 24 you have to multiply 330 by 6

3. We break down 330 dollars, so 300 times 6 is 1800, i like to take away  the zeros so 3 times 6 is 18 and we add 2 zeros becuase 300 has 2 zeros. And we do the same think with 30, but this time add 1 zero because 30 has 1 one zero.

4. the answer is 1800 dollars, you're welcome!

Answer:

Below

Step-by-step explanation:

Multiply  L number and Bottom number ...then add the R number to get the top number

? = 100 - (3*24) = 28

The area of the bridge(yellow part) is 297.9 m².

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

From the given diagram the area of the bridge is the total area of the larger rectangle - the area of a semicircle - the area of the smaller rectangle.

We know the area of a rectangle is (length×width) and the area of a semicircle is (1/2)πr².

∴ The area of the bridge is = {(34×20) - (24×6.5) - (1/2)π(12)²} m².

= {680 - 156 - 226.1} m².

= 297.9 m².

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A and B are events defined on a sample space, with P(A) = 0.6 and P(BIA) = 0.3. then P(A and B) = 0.18

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

If A and B are events defined on the sample space with P(A) = 0.6 and P(BIA) = 0.3.

To find P(A and B),

we use the formula of conditional probability,

P( A and B ) = P (BIA) P(A)

P( A and B ) = 0.6 × 0.3

P( A and B ) = 0.18

Therefore, P ( A and B ) is 0.18.

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The distance between the start of the walkway and the middle person is 52 feet.

It is given that a 100 foot long moving walkway moves at a constant rate 6 feet per second.

AI steps into the start of the walkway and stands this means speed of AI is 6 feet per second.

Bob steps onto the start of  he walkway two second later and stolls forward along walkway 4 feet per second that means 10 feet [per seconds.  

And CY reaches the starts of the walkway and walks briskly forward beside the walkway at a rate of 8 feet per second.

At the time s we gave that,

[tex]\frac{8(s-4)+10(s-2)}{2}[/tex] = 6s

[tex]\frac{8s -32 + 10s - 20}{2}[/tex]  = 6s

      18s - 52 = 12s

              6s  = 52

                s  = [tex]\frac{26}{3}[/tex]

At the time AI has travels,  

6* [tex]\frac{26}{3}[/tex] = 52 feet.

Therefore distance between the start of the walkway and the middle person is 52 feet.

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The total cost of the crafting supplies is $25.5. This can be find using percentage and rate concepts.

What is tax rate and percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.

Tax is the money that govt collects based on income, sales and other activities.

A tax rate is the percentage at which an individual or corporation is taxed.

In the given que,

Purchased amount = $24.

Tax rate = 6.25%

Tax paid = 24*(6.25/100)

               = $1.5

So, total amount paid = $1.5 + $24

                                    = $25.5

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The nonprofit company charges $100 each ticket for the opportunity to win a $50,000 vintage Mustang. With four prizes and 1500 tickets sold, he expects to lose $54.53 on each one.

The chance of winning is multiplied by the bet multiplier to determine the mathematical anticipated value. Typically, expected value is estimated for a bet of one unit. To determine the predicted profit, multiply the win chance by the stake amount.

Chances of getting first prize = 1/1500

Chances of getting second prize = 1/1500

Chances of getting third prize = 1/1500

Chances of getting Fourth prize = 1/1500

Cost of one ticket = $100

Expected winning = -100 +1/1500 (56000 + 6600 + 4300 + 1300)

= -100 + 68200/1500

= - 54.53 dollars

There is an expected loss of $54.53.

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The mathematical expression for the work performed by the spring and the cubic term is W=3.3488J C=%3.4

The spring's and the cubic term's labor Question Parameters:

How much effort is required to compress this spring 15 cm

Take into account a spring with k = 250 N/m and q = 900 N/m3.

In general, the mathematical formula for the force is given as

(FSp)s=−kΔs−q(Δs)^3

Location of Work done

W = int dxF.

Hence

W=3.3488J

b)Where a cubic term is mathematically given as

C={0.1139}/{3.3488}

C=%3.4

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Answer:

20(-2x+5)

10(-4x+10)

Step-by-step explanation:

20(-2x+5) = -40x+100

10(-4x+10) = -40x+100

You just need to expand the brackets

Answer:

  (d)  P ≥ -40

Step-by-step explanation:

You want the solution to P/8 ≥ -5.

Multiply both sides of the inequality by 8.

  8(P/8) ≥ 8(-5)

  P ≥ -40

If Roberta took two tests. She scored 10 points more on the second test. she score 70 on the second test.

Average score = (x+y)/2

he scored 10 points less on the second test than he did on the first.

y = x - 10

Replace y with x-10

(x + x - 10) / 2

(2x-10)/2

Average score on both tests is 75

(2x-10)/2 = 75

Multiply both sides of this equation by 2

2x-10 = 150

Add 10 to both sides

2x = 160

Divide both sides  by 2x

x = 160/2

x = 80 (She got 80 on the first test)

He got 80 - 10 = 70 (She got 70 on the second test)

(80+ 70) / 2 = 150/2 = 75 (She got average  of 75 on both tests)

Therefore she scored 70 on the second test is your solution.

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Therefore the common difference in this AP series is 4 and the next 3 terms are  1, 5, 9, 13, 13 + 4, 13 + 8, 13 + 12 or 1, 5, 9, 13, 17, 21, 25.

Rows with a defined pattern, in which the difference between two consecutive terms is equal and fixed, are referred to as arithmetic sequences and series, also known as rows and counting series. In other words, by adding a fixed integer to the previous term, each term in the arithmetic arrangement is obtained from the previous term. To put it another way, every term in the arithmetic series (except from the first term) is obtained by adding a specific integer to the term that comes before it.

Here,

This mathematical sequence can be written as follows:

A, A+D, A+2D, A+3D, A+4D, etc. , a+(n-1)d or

where:

First term: a

d stands for common variation.

It is stated that the arithmetic sequence formula is

a = a + (n-1)d

where

First term: a

n = the number of terms

d stands for common variation.

Common Difference

In mathematical terminology, the common difference is the difference between two words.

2, 5, 8, 11, and more problems

Answer: To determine if a row is an arithmetic sequence or not, first identify the similarities between the rows.

d = 5 - 2 d = 8 - 5 d = 11-8

d = 3.

Each of them differs by 3 points.

The following three words are then 2, 5, 8, 11, 11+3, 11+6, 11+9 or 2, 5, 8, 11, 14, 17, and 20.

Issues 2, 4, 6, 8, and 10 exist.

Answer:

d = -4 - 2 = -6

d = 6 - (-4) = 10

It does not contain arithmetic sequences because there is no common difference.

Challenge: -6, -10, -14, -18,...

Answer:

d = -10 - (-6) = -4

d= -14 - (-10) = -4

d= -18 - (-14) = -4

There is a -4 difference between them all.

The following three terms are then 6, 10, 14, 18, -18, -18 + (-4), -18 + (-8), -18 + (-12), or 6, 10, 14, 18, -18, -22, -26, -30.

Issues 40, 42, 44, 46,...

Answer:

d = 42 - 40 = 2

d = 44 - 42 = 2

d = 46 - 44 = 2

All of them differ by 2 points.

The subsequent three words are either 40, 42, 44, 46, 48, 50, 52 or 40, 42, 44, 46, 46 + 2, 46 + 4, 46 + 6.

Issues: 1.2, 1.8, 2.4,...

Answer:

d = 1.8 - 1.2 = 0.6

d = 2.4 - 1.8 = 0.6

They are all separated by 0.6.

1.2, 1.8, 2.4, 2.4 + 0.6, 2.4 + 1.2, 2.4 + 1.8 or 1.2, 1.8, 2.4, 3.0, 3.6, 4.2 are the following three words.

Issues 1, 5, and 9,13

Answer:

d = 5 - 1 = 4

d = 9 - 5 = 4

d = 13 - 9 = 4

They are all divided by 4 in common.

The subsequent three terms are either 1, 5, 9, 13, 17, 21, or 25. These are 1, 5, 9, 13, 13 + 4, 13, 8, 13, and 12.

Therefore the common difference in this AP series is 4 and the next 3 terms are  1, 5, 9, 13, 13 + 4, 13 + 8, 13 + 12 or 1, 5, 9, 13, 17, 21, 25.

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Answer:

-------------------------------------

Given sequence:

We observe that it has a linear increase and common difference of terms is 5:

So d = 5, a₁ = - 1, find the nth term:

Watching basketball games and liking the flavor of coconut "are" independent events because the probability of a teenager from the group watching basketball games "is not equal to" the probability of a teenager from the group watching basketball games given that they like the flavor of coconut.

Independent events is the events which occur freely of each other. An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

We observe that the event of watching basketball games does not affect liking the flavour of coconut, hence they are independent events their probabilities are most likely not the same.

Therefore, we use "are" for the first statement to show the two events are independent and "is not equal to" for the probability statement.

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Solving a system of equations we will see that Edmund will plant 4 yellow tulips and 8 white lilies.

Let's define our variables as:

We know that for each yellow tulip he will plant two white lilies, then:

y  = 2x

And we also know that he wants to plant 12 flowers, so:

x + y = 12

Then we have a system of equations:

x + y = 12

y  = 2x

Substituting the second equation into the first one, we will get:

x + 2x = 12

3x = 12

x = 12/3

x = 4

Then the value of y is:

y = 2x

y = 2*4 = 8

Then he will plant 4 yellow tulips and 8 white lilies.

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The rate at which water is draining when the water is  8 feet deep is calculated to be 2.54 ft³/ h

The vertex angle of the conical-shaped reservoir can be given as follows;

tan θ = R/H

Here R represents the radius and H illustrates the depth

so here we can say that the vertex angle will remain constant; therefore;

r/y = R/H

r/8 = 10/20

r = (10/20) × 8

r = 4

now for the volume, we can say;

V=1/3πr^2h

also, we can say;

r = y/2

Therefore here we will have;

V = 1/3π(y/2)^2y = 1/12 πy³

now for volume flow rate, we can determine as follows;

Q = dV/dt = 3/12πy²(dy/dt)

Q = 1/4 πy²v

Substituting the values as follows;

Q = 1/4 π(8)²(1/2)ft³/h

Q = 2.54 ft³/ h

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The average value of the trigonometric equation f(x) = - 2 · sin x + 5 · cos x over the interval [π, 2π] is equal to 2 / π.

In this question we find the definition of a trigonometric equation consisting in the sum of two trigonometric functions on a given interval [a, b], of which we must determine its average value by means of the following integral equation:

[tex]m = \frac{1}{b - a} \cdot \int\limits^b_a {f(x)} \, dx[/tex]

Where:

First, write the entire trigonometric equation and the bounds of the interval:

f(x) = - 2 · sin x + 5 · cos x, a = π, b = 2π

Second, obtain the result of the integral equation:

[tex]m = -\frac{2}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\sin x} \, dx + \frac{5}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\cos x} \, dx[/tex]

[tex]m = \frac{2}{\pi}\cdot \cos x[/tex] [tex]|\limits_{\pi}^{2\pi}[/tex] + [tex]\frac{5}{\pi}\cdot \sin x[/tex] [tex]|\limits_{\pi}^{2\pi}[/tex]  

m = (2 / π) · (cos 2π - cos π) + (5 / π) · (sin 2π - sin π)

m = (2 / π) · (1 - (- 1)) + (5 / π) · (0 - 0)

m = 2 / π

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Answer:

10mph

keeping it short so you can ace your quiz :D

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer: f

Step-by-step explanation:

The domain of a composite function f(g(x)) is the set of those inputs x in the domain of g for which g(x) is in the domain of .

The solution of Neumann problem, ∇²u= 0 if r < R , Uₙ (R,θ) = f(θ) is u(r,θ) = a'₀+ rⁿ(a'ₙ cosnθ + b'ₙ sinnθ) with boundary conditions uᵣ (r,θ) = ∑n R⁽ⁿ⁻¹⁾(Aₙ cosnθ + Bₙ sinnθ) = f(θ) and

Aₙ=∫(f(θ)cosnθ /π nR⁽ⁿ⁻¹⁾)dθ, where θ∈[-π, π]

Bₙ=∫(f(θ)sinnθ /π nR⁽ⁿ⁻¹⁾)dθ, where θ∈[-π, π]

Given that

The solution of Numann problem

∇²u= 0 if r < R , Uₙ (R,θ) = f(θ)

Use polar co-ordinates (r,θ)

uᵣᵣ + 1/r uᵣ+ 1/uᵣ (uθθ) = 0 ,0 < r< R,

0 <θ <2π and ∂u/∂r(R,θ) = f(θ) is directional derivative

r²d²u/dr² + rdu/dr + d²u/dθ² = 0

Let , r = ε⁻ᵗ , u(r(t),θ)

uₜ = uᵣ(rₜ) = - e⁻ᵗ uᵣ

uₜₜ =( - e⁻ᵗ uᵣ )ₜ = ε⁻ᵗuᵣ + e⁻²ᵗ uᵣᵣ

= r uᵣ+ r²uᵣᵣ

Thus we have, uₜₜ + uθθ = 0

Let u(t,θ) = X(t)Y(θ)

Which gives X''(t)Y(θ) + X(t)Y"(θ) = 0

X"(t)/X(t) = - Y"(θ)/Y(θ) = λ

From Y"(θ) + λ Y(θ) = 0

We get, Yₙ(θ) = aₙ cosnθ + bₙ sinnθ

λ= n² , n =0, 1, ...

With these values of λn we solve,

X"(t) - n² X(t) = 0

If n = 0 , X₀(t) = c₀t + d₀

X₀(r) = -c₀log (r) + d₀

If n not equal to 0 then

Xₙ (t) = cₙeⁿᵗ + dₙ e⁻ⁿᵗ

Xₙ(r) = cₙ(r)⁻ⁿ + dₙ (r)ⁿ

We have u₀(r, θ) = X₀(r)Y₀(θ)

= a₀ ( - c₀(log r) + d₀)

uₙ(r,θ) = Xₙ(r) Yₙ(θ)

= (cₙ r⁻ⁿ+ dₙrⁿ)(aₙ cosnθ + bₙ sinnθ)

But u must be positive at t =0

So, cₙ = 0 ; n = 0,1,2....

u₀ (r,θ) = a₀ d₀

uₙ(r,θ) = dₙ rⁿ( aₙ connθ + bₙ sinnθ)

By superposition , we can write as

u(r,θ) = a'₀+ rⁿ(a'ₙ cosnθ + b'ₙ sinnθ)

Boundary conditions gives

uᵣ (r,θ)=∑n R⁽ⁿ⁻¹⁾(Aₙ cosnθ + Bₙ sinnθ) = f(θ)

the coefficients aₙ , bₙ for n ≥ 1 are determined are Fourier series for f(θ)

but a₀ is not determined from f(θ) therefore , it may take arbitrary value. By using Fourier series,

Aₙ= Integration of(f(θ)cosnθ dθ/π n R⁽ⁿ⁻¹⁾) where θ∈[-π, π]

Bₙ= Integration of (f(θ) sinnθ dθ/π nR⁽ⁿ⁻¹⁾) where θ∈[-π, π]

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The total cost of the recipe is 521.875 cents

In this question, we need to  calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together.

The ingredients amount in converted units

 ep                      amount         conversion       unit cost ($/unit)    

leeks                    4 oz                  0.25 lb               3.00/lb

yellow squash      10 oz               0.625 lb              2.85/lb

butter                    1 oz                0.0625 lb             3.00/lb

spinach                 8 oz                   0.5 lb                2.25/lb

eggs                     6 ea                   0.5 dozen          2.75/dozen

First, we have to determine to total cost per ingredient.

1. 0.25 x 3.00 = $0.75 (leeks)

2. 0.625 x  2.85 = $1.78125 (yellow squash)

3. 0.0625 x 3.00 = $0.1875 (butter)

4. 0.5 x 2.25 = $1.125 (spinach)

5. 0.5 x 2.75 = $1.375 (eggs)

Now, we can add the cost per ingredient to know the total cost.

$0.75 + $1.78125 + $0.1875 + $1.125 +  $1.375

= $5.21875

= 521.875 cents

Therefore, the total cost is 521.875 cents

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If Joe deposits $264,954.31 today then he will reach his goal

Define Present Value

Finding the appropriate quantity of money to deposit today in order to ensure a specific amount of future payments is one objective of financial analysis. The target payment amount, the quantity and frequency of payments, and the interest rate all influence the present value, which is the value in today's dollars.

Given,

Joe want to receive each month = $22,000

Interest rate = 6%

number of payment = 22 years

We know, the formula of present value is

Present value = pmt * (1 - (1/ (1+r)ⁿ) ) / r

pmt = $22,000

r = 0.06

n = 22 years

Now, plug in the values

Present value = $22,000( 1 - (1/(1+0.06)²² ) / 0.06

                       =$22,000( 1 - (1/(1+0.06)²² ) / 0.06

                       ≈ $264,954.311

Hence, If Joe deposits $264,954.31 today then he will reach his goal.

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