Simplify, write your answer as a power

Answer:

≈ 31.7 yd

Step-by-step explanation:

let the missing side be x , then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 33²

x² + 81 = 1089 ( subtract 81 from both sides )

x² = 1008 ( take square root of both sides )

x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )

Answer:

9610/39

Step-by-step explanation:

You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41

Answer: 26.34

Step-by-step explanation:

The bacteria will take 26.3409 minutes.

Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.

Given f(t) = 256[tex]e^{0.0611t}[/tex]

initial condition when t = 0

f(0) = 256

to find the time when population reach 5 times its initial value

= 256 x 5 = 1280

f(t) = 1280,

to calculate t

1280 = 256[tex]e^{0.0611t}[/tex]

[tex]e^{0.0611t}[/tex] = 5

0.0611t = ln(5)

0.0611t = 1.60943

t = 1.60943/0.0611

t = 26.3409 minutes.

Hence Bacteria will take 26.3409 minutes to reach 5 times.

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Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

Enjoy it. I hope it will help you.

Answer:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Step-by-step explanation:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Answer:

The inequality for this would be n ≥ 20.

We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".

Step-by-step explanation:

Answer:

E, -1/5

Step-by-step explanation:

The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.

Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.

By substituting

m = (4 - 1) / (-20 - [-5])

m = 3 / (-20 + 5)

m = 3 / -15

m = -1 / 5

[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]

180 - 28 - 14 = 138

so 12x - 18 = 138

x = 13

Answer:

Step-by-step explanation:

15/3 + 3 =

15/3 + 9/3 =

24/3 =

8

2(15) + 3              30 + 3                    33

-------------  =       --------------   =     ----------------

   3                           3                      3

33/ 3 =

11

mark me brainliest :D

The answer is P and R

Answer:

Q and R

Step-by-step explanation:

to be similar all sides must have the same scaling factor :

the factor from 2 to 8 is 4.

and the factor from 3 to 12 is also 4.

therefore, these 2 parallelograms are similar.

106 bags needed to pack all the brownies.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jack and Dwayne made 318 Brownies.

Each small bag contain 3 Brownies.

So, the number of bags required

= 318 / 3

= 106 bags

Hence, 106 bags needed.

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Answer:

-1+13=4v

12=4v

v=3

....

.............

Answer:

I hope this helps

Answer:

Answer:

11

Step-by-step explanation:

You would need to -3 on both sides to get:

-11x = -121.

To find x on it's own you would have to divide by -11 on both sides.

You would get a result of x = 11.

Hope this helps :)

Answer:

E BC itsay 3a 5b = 3.5 so it E

Answer:

1/2

Step-by-step explanation:

5/6 • 3/5

15/30 = 1/2

Answer:

1/2

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5 × 3/ 6 × 5 = 15/30

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using

GCF(15,30) = 15

15 ÷ 15/30 ÷ 15 = 1/2

Therefore:

5/6 × 3/5 = 1/2

we have: [tex]P=(7c-5) +(10c-2) + (7c-5) = 7c-5+10c-2 + 7c-5=24c-12[/tex]

ok done. Thank to me :>

Answer:

y-intercept: 5/3

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -8/3 + 5/3

=> Now, let's compare.

=> y = mx + b = y = -8/3 + 5/3

=> we can tell that the y-intercept is b, which is 5/3.

Hoped this helped.

[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]