A pole that is 3.5m tall casts a shadow that is 1.26 m long. At the same time, a nearby building casts a shadow that is 35.75m long. How tall is the building? Round your answer to the nearest meter.

The amount that would be added to Beginning Retained Earnings balance to determine Ending Retained Earnings Balance is net income of $14,640

The  amount would be  subtracted from Beginning Retained Earnings balance to determine Ending Retained Earnings Balance is the cash dividends of $1,000

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

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The value of x is for the given equation is 7/2.

An algebraic expression (or variable expression) is a term that has been combined with addition, subtraction, multiplication, and division operations.

To simplify an algebraic expression, we simply combine similar terms. As a result, variables with similar characteristics will be combined. The same abilities will now be created by combining similar variables.

The given equation is 4x-(10-x) =15/2.

4x - 10 + x + 15/2

5x - 10 = 15/2

Dividing both sides by 5 to obtain:

x - 2 = 3/2

Multiply both sides by 2 to get:

2x - 4 = 3

2x = 3 + 4
x = 7/2

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Deductive Reasoning.

What's the difference between inductive and deductive reasoning?

Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down. Inductive reasoning takes you from the specific to the general, while in deductive reasoning, you make inferences by going from general premises to specific conclusions.

Examples-

Inductive Reasoning: The first lipstick I pulled from my bag is red. The second lipstick I pulled from my bag is red. Therefore, all the lipsticks in my bag are red.

Deductive Reasoning: The first lipstick I pulled from my bag is red.

A deductive approach involves the learners being given a general rule, which is then applied to specific language examples and honed through practice exercises. An inductive approach involves the learners detecting, or noticing, patterns and working out a 'rule' for themselves before they practise the language.

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.

Thus ,I know I'll have to work a double shift today because I have a migraine and every time I have a migraine I get stuck pulling a double is and example of Deductive reasoning . Because a  deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.

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Explanation:

M is at 2 and J is at 18

This is a gap of 18-2 = 16

The ratio 2:3 has 2+3 = 5 parts total. Divide the gap of 16 into 5 equal parts to get 16/5 = 3.2 units

Each part is 3.2 units wide

Double this to get 2*3.2 = 6.4; the doubling is because of the "2" in "2:3"

Now add 6.4 to M = 2 to get 2+6.4 = 8.4 which is the location of point X

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

Check:

Segment MX is 8.4 - 2 = 6.4 units long

Segment XJ is 18-8.4 = 9.6 units long

The ratio 6.4:9.6 is the same as 64:96 and it fully reduces to 2:3 to confirm the answer. Or you could notice that (6.4)/(9.6) = 64/96 = 2/3

Answer: I think this is a trick question because they are always either greater or less than each other

Step-by-step explanation:

The height of each story is 20 feet.

The value of x is 3 feet.

The score on the third quiz is 10

The number of action figures that would be produced on Friday is 182.

The equation that can be used to determine the height of each story is:

46 = x + x + 6

46 = 2x + 6

46 - 6 = 2x

40 = 2x

x = 40 / 2

x = 20 feet

The equation that can be used to solve for x is:

35 = 5x + 5x + 5

35 - 5 = 5x + 5x

30 = 10x

x = 30 / 10

x = 3 feet

Total quiz score = score on first quiz + score on second quiz + score on third quiz

(15 x 3) = 24 + 11 + score on third quiz

45 = 35 + score on third quiz

score on third quiz = 45 - 35

score on third quiz = 10

x = total amount of figures produced in a week - sum of figures produced from Monday to Thursday

(50 x 5) - (12 + 12 + 16 + 28)

250 - 68

X = 182

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Tim's weight is 280 pounds.

Let t, j and r represent Tim's, Jim's and George's weight respectively.

The following equations can be determined giving the information in the question:

t = 2j equation 1

j = g - 50 equation 2

r = 10 + g equation 3

r = 200

Substitute for r in equation 3 : 200 = 10 + g

g = 200 - 10

g = 190

Substitute for g in equation 2 : j = 190 - 50 = 140

Substitute for g in equation 3: t = 2(140)

140 x 2 = 280

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The correct option is; Associative Property of Addition.

For the given question;

The equation formed by the given statement is -

5 + [(-3x) + 4] = [5 + (-3x)] + 4

Observe the stated equation and comparing with the general equation;

The values are arranged in the form of associative addition.

Check the values;

LHS = 5 + [(-3x) + 4] ; simplifying,

5 -3x + 4 = 9 - 3x

RHS =  [5 + (-3x)] + 4 ; simplifying,

5 - 3x + 4 = 9 -3x

As, LHS = RHS and addition is being done.

Thus, the given equation shows the associative property of addition.

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Answer:

The width is 16 cm.

Step-by-step explanation:

[tex]l = 4w[/tex]

[tex]lw = 4 {w}^{2} = 1024[/tex]

[tex] {w}^{2} = 256[/tex]

[tex]w = 16[/tex]

Q and R are collinear because they lie in the same straight line.

Check whether Q and R are collinear from the given figure.

Collinear points are the points that lie on the same straight line or in a single line. If two or more two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

Here, Q and R are collinear because they lie in the same straight line.

A set of points in space are coplanar if there exists a geometric plane that contains them all.

Point S is outside the planes, so point S is non-coplanar with either plane.

The intersection of two planes is always a line.

The intersection between the two planes creates a line.

Line l intersects two planes V and W.

Therefore, Q and R are collinear because they lie in the same straight line.

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Answer:

7.5 acres per hour

Step-by-step explanation:

1) You know that in 1/3 of an hour John waters 2 1/2, or 2.5, acres of farmland.

2) To get 1 hour we would multiply what John waters in 1/3 of an hour by 3.

2.5acres * 3 = 7.5 acres per hour

3) We multiply by 3 because 1/3 of an hour * 3 = 1 hour

so: 2.5acres * 3 = 7.5 acres per hour

The mean score of all of these students together, rounded to 1 decimal place is 84.3

What is the mean score in each case?

The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students

total score for 57 students=87.1*57

total score for 57 students= 4,964.7

total score for 10 students=68.6*10

total score for 10 students=686.0

mean score of all of these students together=(4,964.7+686.0)/(57+10)

mean score of all of these students together= 84.3

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A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The centre of circle x2+y2+4x-6y+4=0 is (-2,3) and radius is 3.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The given equation is x2+y2+4x-6y+4=0.

The standard form of circle is (x-h)^2+(y-k)^2=r^2

where (h,k) is centre and r is the radius of the circle.

We need to convert x2+y2+4x-6y+4=0 to standard form.

x2+4x+y2-6y=-4.

Add +4 and +9 on both sides

(x2+4x+4)+(y2-6y+9)=-4+4+9

(x2+4x+4)+(y2-6y+9)=9

(x+2)^2+(y-3)^2=3^2

When we compare the above equation with standard form we get

centre (-2,3) and radius is 3.

Therefore the center and radius of the circle x2+y2+4x-6y+4=0 is (-2, 3) and 3.

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Answer: Zero

Step-by-step explanation: The bars are meant trick you. git cuh

Answer:

0

Step-by-step explanation:

−3+3

=−3+3

=0

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Answer:

i dont understand what is this

Answer:

Step-by-step explanation: per means divide and capita means person

so you would divide

$53143 by 1.3333333  to get your answer $ 39857 since you are rounding to the nearest dollar

Question 1

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]-16x+10x+86=180 \\ \\ 10x+70=180 \\ \\ 10x=110 \\ \\ x=11[/tex]

Question 2

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]9x+30+7x-10=180 \\ \\ 16x+20=180 \\ \\ 16x=160 \\ \\ x=10[/tex]

Answer:

No

Step-by-step explanation:

The value of x is 6 for the data having the median as 9.

We are given some data:

x - 4, x, 2 x and 2 x + 12

We are also given that the median of these terms = 9

M = 9

Now, we have to find the value of x

Now, we know that the median of some data having even values will be:

M = 2nd term + 3rd term / 2

M = x + 2 x / 2

9 = 3 x / 2

3 x = 18

x = 18 / 3

x = 6

Therefore, we get that, the value of x is 6 for the data having the median as 9.

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Answer:

I LOVE GREAT BRITINNNNNNN

Step-by-step explanation:

Answer:

s

sStep-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x^2 + 4x is specified as a function. When the x is replaced in "f(x)" is replaced with a number, you treat it as a variable.

In this case, f(-3) is almost exactly like saying x = -3.

Everywhere x is in the function is replaced with -3, because you are plugging it in to find a value. Here is a demonstration:

f(-3) = (-3)^2 + 4(-3)

f(-3) = 9 - 12

f(-3) = -3

The answer to your question is -3. Don't be afraid to ask anymore questions regarding this if you are confused.

Answer:

324309

 doctors were registered that year.

Step-by-step explanation:

The questions says, "18.1% of all registered doctors are females"

(Consider, total number of registered doctors as [tex]x[/tex])

that's, 18.1 % of [tex]x[/tex] are female.

and 18.1% of [tex]x[/tex] is 58,700

.

First substitute [tex]x=\tan^{-1}(y)[/tex] to rewrite the integral as

[tex]\displaystyle \int_0^{\pi/4} \sqrt{\tan(x) - \tan^2(x)} \, dx = \int_0^1 \frac{\sqrt{y-y^2}}{1+y^2} \, dy[/tex]

Now use an Euler substitution, [tex]z=\frac{\sqrt{y-y^2}}y[/tex] to rewrite it again as

[tex]\displaystyle \int_0^{\pi/4} \sqrt{\tan(x) - \tan^2(x)} \, dx = 2 \int_0^\infty \frac{t^2}{(t^2+1)^2 + 1) (t^2 + 1)} \, dt[/tex]

where we take

[tex]\sqrt{y - y^2} = \sqrt{-y(y-1)} = yt \implies y = \dfrac1{1+t^2} \text{ and } dy = -\dfrac{2t}{(1+t^2)^2} \, dt[/tex]

Partial fractions:

[tex]\displaystyle \frac{t^2}{((t^2+1)^2+1) (t^2 + 1)} = \dfrac{t^2+2}{t^4+2t^2+2} - \dfrac1{t^2+1}[/tex]

so that

[tex]\displaystyle \int_0^{\pi/4} \sqrt{\tan(x) - \tan^2(x)} \, dx = 2 \left(\int_0^\infty \frac{t^2+2}{t^4+2t^2+2} \, dt - \int_0^\infty \frac{dt}{t^2+1}\right)[/tex]

The second integral is trivial,

[tex]\displaystyle \int_0^\infty \frac{dt}{t^2+1} = \lim_{t\to\infty}\tan^{-1}(t) - \tan^{-1}(0) = \frac\pi2[/tex]

For the other, I'm compelled to use the residue theorem, though real methods are doable too (e.g. trig substitution). Consider the contour integral

[tex]\displaystyle \int_\Gamma f(z) \, dz = \int_\Gamma \frac{z^2+2}{z^4+2z^2+2} \, dz[/tex]

where [tex]\Gamma[/tex] is a semicircle in the upper half of the complex plane, and its diameter lies on the real axis connecting [tex]-R[/tex] to [tex]R[/tex]. The value of this integral is 2πi times the sum of the residues in the upper half-plane. It's fairly straightforward to convince ourselves that the integral along the circular arc vanishes as [tex]R\to\infty[/tex], so the contour integral converges to the integral over the entire real line. Note that

[tex]\displaystyle 2 \int_0^\infty \frac{t^2+2}{t^4+2t^2+2} \, dt = \int_{-\infty}^\infty \frac{t^2+2}{t^4+2t^2+2} \, dt[/tex]

since the integrand is even.

Find the poles of [tex]f(z)[/tex].

[tex]z^4 + 2z^2 + 2 = 0 \\\\ ~~~~ \implies (z^2+1)^2 = -1 \\\\ ~~~~ \implies z^2 = -1 \pm i \\\\ ~~~~ \implies z = \pm \sqrt{-1 \pm i} = \sqrt[4]{2}\, e^{\pm i(3\pi/8 + \pi k)}[/tex]

where [tex]k\in\{0,1\}[/tex].

The two poles we care about are at [tex]z_1=\sqrt[4]{2}\,e^{i\,3\pi/8}[/tex] and [tex]z_2=\sqrt[4]{2}\,e^{-i\,11\pi/8}[/tex]. Compute the residues at each one.

[tex]\displaystyle \mathrm{Res}\left\{f(z),z=z_1\right\} = \lim_{z\to z_1} \frac{f(z)}{z-z_1} = -\frac1{2^{7/4}}\,ie^{-i\,\pi/8} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~= -\frac1{2^{7/4}} \left(\sin\left(\frac\pi8\right) + i \cos\left(\frac\pi8\right)\right)[/tex]

[tex]\displaystyle \mathrm{Res}\left\{f(z),z=z_2\right\} = \lim_{z\to z_2} \frac{f(z)}{z-z_2} = -\frac1{2^{7/4}}\,ie^{i\,\pi/8} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~= \frac1{2^{7/4}} \left(\sin\left(\frac\pi8\right) - i \cos\left(\frac\pi8\right)\right)[/tex]

By the residue theorem,

[tex]\displaystyle \int f(z) \, dz = 2\pi i \sum_{\rm poles} \mathrm{Res}\{f(z)\} = \frac{4\pi}{2^{7/4}} \cos\left(\frac\pi8\right)[/tex]

We also have

[tex]\displaystyle \cos^2\left(\dfrac\pi8\right) = \dfrac{1 + \cos\left(\frac\pi4\right)}2 = \dfrac{2 + \sqrt2}4 \implies \cos\left(\frac\pi8\right) = \dfrac{\sqrt{2+\sqrt2}}2[/tex]

Then the remaining integral is

[tex]\displaystyle \int_0^\infty \frac{t^2+2}{t^4+2t^2+2} \, dt = \frac{4\pi}{2^{7/4}} \cos\left(\frac\pi8\right) = \sqrt{\frac12 + \frac1{\sqrt2}} \, \pi[/tex]

It follows that

[tex]\displaystyle \int_0^{\pi/4} \sqrt{\tan(x) - \tan^2(x)} \, dx = \boxed{\left(\sqrt{\frac12 + \frac1{\sqrt2}} - 1\right) \pi}[/tex]

Answer:

No, it is not the solution.

Step-by-step explanation:

-4(15)-6=54

-60-6=54

-66=54

nope

The complementary angles are: 66.7° and 23.3°.

Two angles are said to be complementary if they both have a sum of 90 degrees when added.

Thus, we have the following:

One of the angles is represented as x.

Second angle = x - 43.4

Therefore:

x + x - 43.4 = 90

2x - 43.4 = 90

2x = 90 + 43.4

2x = 133.4

2x/2 = 133.4/2

x = 66.7°

First angle = x = 66.7°

Second angle = 66.7 - 43.4 = 23.3°

Therefore, the complementary angles are: 66.7° and 23.3°.

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The function (r •q)(-3) =(q •r)(-3)  and they are equal to -40

What are algebraic functions with example?

Given the following functions

q(x) = 2x+2

r(x) = x² +1

Taking the product

q(x)*r(x) = (2x+2)(x² +1)

Note that according to the communatative law, (r •q)(x) = (q •r)(x)

(r •q)(-3) =(q •r)(-3) = (2(-3)+2)((-3)² +1)

(r •q)(-3) =(q •r)(-3) = (-4)(9+1)

(r •q)(-3) =(q •r)(-3) = -4(10)

(r •q)(-3) =(q •r)(-3) =-40

Hence the function (r •q)(-3) =(q •r)(-3)  and they are equal to -40.

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