The ratio of the number of boys to the number of girls in choir is 6 to 7. There are 70 girls in choir. How many boys are in choir?

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

Answer:

  B

Step-by-step explanation:

The given expressions can be compared by putting each in standard form.

A. -8 -7n +16n = (-7+16)n -8 = 9n -8

B. 9(n -8) = 9n -72 . . . . different from the others

C. n -8 +8n = (1 +8)n -8 = 9n -8

D. 9n -8

_____

The standard form of a polynomial expression has the variable terms in decreasing order by degree

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

y < -12

Step-by-step explanation:

Edge

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

Answer:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:



Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.



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Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

Step-by-step explanation:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:



Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.



Answer link



Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

I hope it helps :)

Answer link

A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.

For any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:

x' = x - 3

y' = y + 4

This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.

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Answer:

ab and ac are congruent with each other

Answer:

BC > AC

Step-by-step explanation:

∠A > ∠B (Given)

Side opposite to larger angle is larger and side opposite to smaller angle is smaller.

->AC < BC

or

BC > AC

Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735

Answer:

168 hours

Step-by-step explanation:

24 × 7 = 168 hours

So 168 hours in 7 days

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

Using the above rule, we have:

Statement 1

All three statements above are true

Statement 2

All three statements above are also true

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Answer:

8/(x + 2) - 4/(x + 6)

Step-by-step explanation:

4x + 40 = Ax + 6A + Bx + 2B

Equating coefficients of x

4 = A + B      (1)

Equating constant terms:

40 = 6A + 2B    (2)

Multiply  equation (1) by -2:

-8 = -2A - 2B   .. (3)

Add (2) and (3):

32 = 4A

A = 32/4

A = 8.

4 = 8 + B

B = 4 - 8

B = -4.

The decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

The partial fraction is the result of writing a rational expression as the sum of two or more fractions.

According to the given question.

We have a partial fraction

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A}{(x+2)} +\frac{B}{(x+6)}[/tex]

We have to decompose the above partial fraction in terms of x.

The above partial fraction can be written as

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A(x+6)+B(x+2)}{(x+2)(x+6)}[/tex]

⇒[tex]4x+40 = A(x+6)+B(x+2)[/tex]

⇒[tex]4x + 40 = Ax + 6A + Bx + 2B[/tex]

⇒[tex]4x + 40 = x(A+B) +6A + 2B...(i)[/tex]

On comparing the coefficient of x and the constant terms.

[tex]A+B = 4..(ii)[/tex]

⇒[tex]A = 4 - B[/tex]

and, [tex]6A+2B = 40..(iii)[/tex]

⇒[tex]2(3A+B) = 40[/tex]

Substitute the value of A in (iii)

⇒[tex]2(3A+B) = 40[/tex]

⇒[tex]3A+B = 20[/tex]

⇒[tex]3(4-B)+B = 20[/tex]

⇒[tex]12 - 3B +B = 20[/tex]

⇒[tex]12 - 2B = 20[/tex]

⇒[tex]-2B = 8[/tex]

⇒[tex]B = -4[/tex]

So, [tex]A = 4-(-4) = 8[/tex]

Substitute the value of A and B in the given partial fraction.

⇒[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex]

Hence, the decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

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Answer:

not

Step-by-step explanation:

Answer:

4/5 and -4/5 are not same because

4/5=

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

Answer:

No. Just no the formula

Hyp2= Adj2 +Opp2

The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.

Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.

Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.

It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.

The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.

For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:

[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]

Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.

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Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

Answer:

  4 units right

Step-by-step explanation:

The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.

  g(x) = (x -4)²

Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.

  f(x) should be shifted right 4 to match g(x)

_____

Additional comment

The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.

Answer:

See below ↓

Step-by-step explanation:

19.

20.

Answer:

ans is 24000

Step-by-step explanation:

frist convert 12 into mins

/ it with 45

now multiple it with 1500

now ans 24000

(Assuming it works at a constant rate)

45 minutes = 3/4 of an hour

If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.

Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.

So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

Answer: Shift down 3 units

Step-by-step explanation:

From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)

Since we have to translate the polygon to (−3,−3)

So:

−3−(−3)=0

−3−(0)=−3

Therefore shift down 3 units is the correct answer

Answer:

shift down 5 units

Step-by-step explanation:

i took the quiz

Answer:

Here is the answer

Step-by-step explanation:

Interest=$580 x 6.5%

=580 x 6.5/100

=$37.70

$37.70= 37dollars and 70 cents

Answer:

x= 4

y=3

Step-by-step explanation:

its simple

4x+3y=25

x+5y=19

by elimination

-17y=-51

so y = 3

substitute y for 3

then x is 4.

I hope this will help you.

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

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The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

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Answer:

81 blue

54 red

Step-by-step explanation:

let me know if this is helpful!

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

The missing side is the opposite or the adjacent of the right triangle

The length of the missing side is 9.9

To calculate the length of the missing side, we make use of the following Pythagoras theorem.

16.5^2 = 13.2^2 +a^2

Evaluate the exponents

272.25 = 174.24 +a^2

Collect like terms

a^2 = 272.25 - 174.24

Evaluate the like terms

a^2 = 98.01

Take the square roots of both sides

a = 9.9

Hence, the length of the missing side is 9.9

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