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Diano4ka-milaya [45]

3 years ago

15

Find the missing side lengths. leave ur answers as radicals

1 answer:

Sauron [17]3 years ago

5 0

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

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Given that f(x)=x^2 . In the space below, type a function that would shift f(x) right 2.5 units, down 7 units, vertically shrink

notka56 [123]

Translation by h right and k up: f(x-h)+k.
Vertically scale by k and reflect across the x-axis: -k·f(x).

After the translation, your function is
f(x) = (x-2.5)² -7

After the scaling and reflection, your function is
f(x) = (-2/5)((x -2.5)² -7)

8 0

2 years ago

Is the sequence 3,6,9,12 geometric? True or false and why

IRINA_888 [86]

This sequence is not a geometric.
It is because, common ratio = 6/3 = 2
9/6 = 1.5

As the ratio's are not same, it is not a G.P

Hope this helps!

7 0

3 years ago

Graph the six terms of a finite series where a1 = −3 and r = 1.5.

s344n2d4d5 [400]

We are given the first term and the common ratio, this means they belong to a geometric series.

For the given series:

$a_{1}=-3 \\ 
r=1.5$

Each term of the geometric series is obtained by multiplying the previous term by common ratio.

So the next terms will be:

-4.5, -6.75, -10.125, -15.1875, -22.78125

The general formula for the G.P would be:

$a_{n}=-3(1.5)^{n-1}$

On plotting the series, the result will be like this:

6 0

3 years ago

Read 2 more answers

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

Anettt [7]

Answer:

a. $\frac{1}{15}$

b. $\frac{2}{5}$

c. $\frac{14}{15}$

d. $\frac{8}{15}$

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

a. Favorable cases for Both the laptops to be selected = $_2C_2$ = 1

Total number of cases = 15

Required probability is $\frac{1}{15}$ .

b. Favorable cases for both the desktop machines selected = $_4C_2=6$

Total number of cases = 15

Required probability is $\frac{6}{15} = \frac{2}{5}$ .

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

2. Both desktop:

Favorable cases = $_4C_2=6$

Total number of favorable cases = 8 + 6 = 14

Required probability is $\frac{14}{15}$ .

d. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

Total number of cases = 15

Required probability is $\frac{8}{15}$ .

8 0

3 years ago

You have saved 18000 for a down payment on a house. Your bank requires a minimum down payment of 11%. What is the maximum price

zhenek [66]

Money saved for down payment = 18000

Minimum down payment required by the bank = 11%

Let the maximum price that can be offered be = P

$\frac{11}{100}P=18000$

$11P=1800000$

P=163636.36

Hence a maximum price of 163636.36 can be offered for a home that can have a down payment of 18000.

7 0

3 years ago