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3 years ago

Find the length of side A. show or explain ALL work. (use sqrt to show square root).

Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

Hard to read but I think that's a 12 and a 9, right?

a^2 + b^2 = C^2

12^2 - 9^2 = A^2

225 - 81 = 144

A=12

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Find the differential equation of dy/dx=(3x+y+4)^2

sp2606 [1]

67 is the correct answer

5 0

2 years ago

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which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of

STALIN [3.7K]

Given:

The given equation is:

$y=5x$

Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.

To find:

The correct table of values from the given options.

Solution:

We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.

We have,

$y=5x$

For $x=0$ ,

$y=5(0)$

$y=0$

For $x=10$ ,

$y=5(10)$

$y=50$

For $x=51$ ,

$y=5(51)$

$y=255$

For $x=400$ ,

$y=5(400)$

$y=2000$

In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.

For $x=65$

$y=5(65)$

$y=325$

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

8 0

2 years ago

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

Democratic Republican Independent Total

First Term 11 28 11 50

Returning 33 26 11 70

Total 44 54 22 120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event A given that another event X has already occurred is given by:

$P(A|X)=\frac{P(A\cap X)}{P(X)}$

The probability of an event E is given by the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

$P(D\cap R)=\frac{33}{120}=0.275$

Compute the probability of selecting an US senator who was returning to office as follows:

$P(R)=\frac{70}{120}=0.5833$

Compute the conditional probability, P (D | R) as follows:

$P(D|R)=\frac{P(D\cap R)}{P(R)}$

$=\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715$

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0

2 years ago

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12(1-x) = 36 what’s the equation

maks197457 [2]

Answer:

-12x + 12 = 32............................. the equation

Step-by-step explanation:

to determine the equation in this 12(1-x) = 36 expression is quite simple, you only need to open the bracket .

solution

12(1-x) = 36

12 - 12x = 32

-12x + 12 = 32............................. the equation

we can further evaluate for the value of x

-12x = 32 - 12

-12x = 20

divide both sides by the coefficient of x which is -12

-12x = 20

-12x/-12 = 20/-12

x = -1.67

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2 years ago

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Help please. .....................

viva [34]

we can use formula

$y=ab^x$

now, we can find a and b

Initially , price is 500

so,

At $x=0,y=500$

$500=ab^0$

$a=500$

now, we can plug back

$y=500(b)^x$

At $x=3,y=10$

we can use it and find b

$10=500(b)^3$

now, we can solve for b

and we get

$b=0.27144$

so,

annual depreciation rate is 27.144%.......Answer

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2 years ago