what is (9 x2/3) x2/3

Answer:

11

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.

Answer:

9.7..................

Answer:

If its just the number then 9.7

Step-by-step explanation:

9.7 is the exact opposite of -9.7

Please mark brainlest

she can code 4/5 of her game in 1 hour at this rate.

[tex]\sf \dfrac{1}{4} \ hour \rightarrow \dfrac{1}{5} \ or \ 0.2 \ of \ her \ game[/tex]

[tex]\sf 1 \ hour \rightarrow \dfrac{\dfrac{1}{5} }{\dfrac{1}{4} } \ or \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]

[tex]\sf 1 \ hour \rightarrow \dfrac{1}{5} *\dfrac{4}{1} \ \ or \ \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]

[tex]\sf 1 \ hour \rightarrow \dfrac{4}{5} \ or \ 0.8 \ of \ her \ game[/tex]

Solution:

We know that:

Let's multiply 4 both sides to see how much Sophia can code in 1 hour.

Multiplying 4 both sides:

Finding how much Sophia can code in 1 hour.

Thus, Sophia can code 4/5 of her game in 1 hour.

Step-by-step explanation:

Roots Theorem

[tex]6 {x}^{2} + 11x - 10 = 0[/tex]

Use the AC method,

The roots must multiply to -60 and add up to 11.

Those two numbers are 15 and -4

So we have know

[tex]6 {x}^{2} + 15x - 4x - 10 = 0[/tex]

[tex]3x(2x + 5) - 2(2x + 5)[/tex]

[tex](3x - 2)(2x + 5) = 0[/tex]

Set each binomial equal to zero

[tex]3x - 2 = 0[/tex]

[tex]3x = 2[/tex]

[tex]x = \frac{2}{3} [/tex]

[tex]2x + 5 = 0[/tex]

[tex]2x = - 5[/tex]

[tex]x = - \frac{5}{2} [/tex]

Answer:

Each student must raise $14.90

Step-by-step explanation:

This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)

m = 14.90

30m = 447

A service call charge or fee is when you are charged a certain amount of money in order for a service technician to perform that specfic service.

Answer:

The rate of change is M= -9/13 (M= negative nine over thirteen)

Step-by-step explanation:

Answer: 30 degrees

Step-by-step explanation:

Answer:

Just trust in god and god will give you his wisdom.

Step-by-step explanation:

Answer:

Caitlin has more sweet than sam

What is the real- world meaning of the first equation?

The first equation is: 2x+3y=13.50

[tex]\rule{300pt}{1pt}[/tex]

Solve this system of equations using the substitution method.

[tex] 2x + 3y = 13.50 \\ 3x + 2y = 16.50[/tex]

[tex]2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y[/tex]

[tex]2(5.5 - \frac{2}{3} y) + 3y = 13.50[/tex]

[tex]y = 1.5[/tex]

[tex]x = 5.5 - \frac{2}{3} \times 1.5[/tex]

[tex]x = 4.5[/tex]

[tex](x,y)=(4.5,1.5)[/tex]

[tex]\rule{300pt}{1pt}[/tex]

What are the prices of adult and student tickets?

Answer:

[tex]\huge\boxed{\sf{23}}[/tex]

Step-by-step explanation:

Hello.

First, -(-a) = a, where a is a variable or a constant.

Now, simplify:

10-(-41)-28

10+41-28

51-28

23

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

Step-by-step explanation:

p-p-7=22- p

p-7-p = 22 - p

p-7+7 = 22+7

Answer:

I got y'all with this one the answer is 68°

Step-by-step explanation:

I hope this helps.

The expression 89÷486000 represents the quotient of 89 and 48600

The result of the quotient 89÷486000 is 0.000183

To do this, we simply make use of a calculator.

We have:

89÷486000

Using a calculator, the result is:

89÷486000 = 0.00018312757

Approximate to the six decimal places

89÷486000 = 0.000183

Hence, the quotient 89÷486000 is 0.000183

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Veremos que la velocidad un minuto despues es 1,200 m/s.

Sabemos que la aceleración del cohete es constante, y es de 20 m/seg^2 (asumimos que el cohete tiene esta aceleración teniendo en cuenta la aceleración gravitatoria, es decir, 20m/seg^2 es la aceleración neta).

a(t) = 20m/seg^2.

Para obtener la velocidad, integramos la cantidad de arriba:

v(t) = (20 m/seg^2)*t + V

Donde V es la velocidad inicial del cohete, que sabemos es igual a cero.

v(t) = (20 m/seg^2)*t.

Con esta ecuación, podemos ver que la velocidad un minuto despues será:

v(60s) = (20 m/seg^2)*60s = 1,200 m/s.

Sí quieres aprender más sobre velocidad, puedes leer:

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Answer:

−1.25 or -5/4

Step-by-step explanation:

Equation

19/24 = -5/6x - 1/4

first swap sides so that all variable terms are on the left hand side

-5/6x - 1/4 = 19/24

add 1/4 to both sides.

-5/6x = 19/24 + 1/4

Least common multiple of 24 and 4 is 24. Convert 19/24 and 1/4 to fractions with a denominator of 24.

-5/6x = 19/24 + 6/24

Since 19/24 and 6/24 have the same denominator, add them by adding their numerators.

-5/6x = 19+6/24

Add 19 and 6 to get 25

-5/6x = 25/24

Multiply both sides by -6/5, the reciprocal of -5/6

x = 25/24 (-6/5)

Multiply 25/24 times -6/5 by multiplying numerator times numerator and denominator times denominator.

x = 25(-6) / 24x5

Do the multiplications in the fraction 25(-6) / 24x5

x = -150/120

Reduce the fraction -150/120 to the lowest terms by extracting and canceling out 30

x = -5/4

With verification

First write the equation and our value for x

19/24 = -5/6x - 1/4

x = -5/4

swap sides so that all variable terms are on the left hand side

-5/6x - 1/4 = 19/24

convert -5/6x to have the same denominator of 19/24.

-5 (4)

-6 (4)

== -20/24x

write the full equation with the converted variable

-20/24x - 1/4 = 19/24

Convert 1/4 to have the same denominator of 19/24

1 (6)

4 (6)

== 6/24

write the full equation with the converted variable and retain the minus sign

-20/24x - 6/24 = 19/24

write our value of X

-5/4

convert x to have the same denominator of -20/24x

-5(6)

-4(6)

= -30/24

x = -30/24

replace x in -20/24x with our updated value of x

-20/24(-30/24)

Multiply -20/24 by -30/24

= 25/24

write the full equation

25/24 - 6/24 = 19/24

subtract 25/24 by 6/24

19/24 = 19/24

the fraction 19/24 is equal to 19/24

verification complete

Answer:

tan²Θ

Step-by-step explanation:

simplify the expression using the identities

secΘ = [tex]\frac{1}{cos0}[/tex]

tan²Θ = sec²Θ - 1

then

[tex]\frac{cos0-cos^30}{cos^30}[/tex] ( divide each term on the numerator by cos³Θ

= [tex]\frac{cos0}{cos^30}[/tex] - [tex]\frac{cos^30}{cos^30}[/tex]

= [tex]\frac{1}{cos^20}[/tex] - 1

= sec²Θ - 1

= tan²Θ

Answer:

[tex]\tan^2(\theta)[/tex]

Step-by-step explanation:

Assuming this is

[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]

Trig identities used:

[tex]\sin^2(\theta)+\cos^2(\theta)=1 \implies 1-\cos^2(\theta)=\sin^2(\theta)[/tex]

[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]

[tex]=\dfrac{\cos(\theta)(1-cos^2(\theta))}{cos^3(\theta)}[/tex]

[tex]=\dfrac{1-cos^2(\theta)}{cos^2(\theta)}[/tex]

[tex]=\dfrac{sin^2(\theta)}{cos^2(\theta)}[/tex]

[tex]=\tan^2(\theta)[/tex]

Answer:

I believe answer would be B

Step-by-step explanation:

I put the equation into desmos and B looks like the answer.

The graph of the polar curve r = 1 + sinФ is shown.

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
r = 1 + sin(θ)
Using formula ,
r = a±bsinФ

Where,
a > 0 and b >0
and a = b
graph the cardioid.
r = 1 - sinФ

Thus, the graph of the polar curve r = 1 + sinФ is shown.

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Answer: Length - 40 cm, Width - 6cm

Step-by-step explanation:

Let the length of the rectangle = 20x.

Then, the width of the rectangle must = 3x by the ratio given.

The area of a rectangle is the length*width, which we are given as 240.

Therefore, 20x*3x = 240

We can combine like terms:

60x^2 = 240

Divide both sides by 60:

x^2 = 4

Square root both sides:

x = ± 2.

Since the sides of a rectangle cannot be negative, x must equal to 2.

The length of the rectangle is 20x, which is 20*2 = 40.

The width of the rectangle is 3x, which is 3*2 = 6.

Answer:

3

Step-by-step explanation:

(x + 1) : (3x + 1) = 8 : 20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

12 = 4x

x = 3

Answer:

b

Step-by-step explanation:

The immediate effect on the money supply when the Federal Reserve sells $50,000 in Treasury bonds to a bank at 8% interest is that It is decreased by $50,000.

Option A is the correct answer.

We have,

When the Federal Reserve sells Treasury bonds to a bank, it takes money out of the banking system.

The concept used in this scenario is the Open Market Operations (OMO) conducted by the central bank, which in this case is the Federal Reserve.

Open Market Operations refer to the buying and selling of government securities, such as Treasury bonds, by the central bank in the open market.

The bank pays $50,000 to the Federal Reserve to purchase the bonds, and this money is removed from the money supply, leading to a decrease in the overall money supply in the economy.

Thus,

The immediate effect on the money supply is:

A. It is decreased by $50,000.

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Answer: C

Step-by-step explanation:

[tex]4^{-11/3 -(-2/3)=4^{-11/3 + 2/3}=4^{-3}=1/64[/tex]