Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible are possible

Answer:

x=15, y=2

Step-by-step explanation:

By AA similarity, the triangles are similar. Therefore, we can find the ratios of the side lengths.

9/3=3=ratio of the side length of a larger triangle to a smaller one.

3=6/y, y=2

3=x/5, x=15

Hope this helped,

~cloud

Answer:

The answer is "12".

Step-by-step explanation:

Lowest number[tex]=20\\\\[/tex]

highest number[tex]=80\\\\[/tex]

Number of classes[tex]=5\\\\[/tex]

Range=highest number-lowest number

          [tex]=80-20\\\\=60\\\\[/tex]

class width [tex]=\frac{Range}{\text{number of classes}}[/tex]

                   [tex]=\frac{60}{5}\\\\=12[/tex]

Given numbers

Inorder to find the difference between them we have to substarct them.

[tex]\\ \sf\longmapsto 5907-5429[/tex]

[tex]\\ \sf\longmapsto 478[/tex]

Answer:

478

Step-by-step explanation:

To solve the problem

5907 -

5429 =

478

Answer:

-3

Step-by-step explanation:

For an expression to be undefined,. the denominator must be equal to 0

Therefore, in order to make that expression undefined, we must equate the denominator to 0

6 + 2v = 0

2v = 0 - 6

2v = -6

v = -6/2

v = -3

So in order to make the expression to be equal to 0, v must be -3

Answer:

35 points

Step-by-step explanation:

See photo

Answer:

nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j

Answer:

A. x-2y-3z = 1/2

Step-by-step explanation:

yess.. if you take solve every equation then you will get same equation from all the equations

Answer:

65 degrees

Step-by-step explanation:

Find the range of temperatures by finding the difference between the lowest and highest temperatures:

37 - (-28)

37 + 28

= 65

So, the range of temperatures was 65 degrees

Answer:

x > -3

Step-by-step explanation:

Any negative number greater than -3 will have an absolute value greater than 3.

Answer:

The shape could be divided into a rectangle and a trapezoid.

b= 9-(5+2)

b= 2

Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]

[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]

[tex]=42.5\ units^{2}[/tex]

OAmalOHopeO

Answer:

See Below

Step-by-step explanation:

The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.

Answer:

I think it's D but I don't know how to do this, but I ask my Friend and he gave me this graph I hope it helps.

Option (C) the graph is translated 5 units left and 2 units down is the correct answer.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function is [tex]y=\sqrt{x-2}[/tex]

This function is transformed to become the function as [tex]y=\sqrt{x+3}-2[/tex]

Now compare this transformation with the function [tex]y=\sqrt{x}[/tex].

These functions are plotted in the graph below.

On comparing this transformation,

The graph is translated 5 units left and 2 units down.

Hence we can conclude that option (C) the graph is translated 5 units left and 2 units down is the correct answer.

Learn more about graph of a function here

https://brainly.com/question/2275360

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Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?

P: Principal, the amount you need to put in the CD

r: interest rate

t: time

A: total amount

________________________________

P(1+rt) = A

P(1+0.023×4) = 500

P(0.092) = 500

P = 500/0.092 = 5434.78

[Hence, you need $5434.78 to put in this CD to have the money for your trip ]

Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

Find more about "Division of functions" here:

brainly.com/question/25289437

#SPJ7

Answer:

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

[tex]\frac{ES}{EG}[/tex] = [tex]\frac{ER}{EF}[/tex] , substitute values

[tex]\frac{45}{12x-3}[/tex] = [tex]\frac{55}{143}[/tex] ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

Answer:

D

Step-by-step explanation:

Exponential functions always will end up being bigger than quadratic functions and since g(x) is probably the exponential it makes f(x) the quadratic because it is growing slower than the function g(x)

The function g(x) increases faster than the function f(x). Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The table below shows the values of f(x) and g(x) for different values of x.

One of the functions is a quadratic function, and the other is an exponential function.

The quadratic function f(x) will be

f(x) = ax² + bx + c

At x = 1, f(x) will be 3

a + b + c = 3 ...1

At x = 2, f(x) will be 6

4a + 2b + c = 6 ...2

At x = 3, f(x) will be 11

9a + 3b + c = 11 ...3

On solving equations 1, 2, and 3, we have

a = 1, b = 0, and c = 2

Then the quadratic function will be

f(x) = x² + 2

The exponential function g(x) will be given as

g(x) = abˣ

At x = 1, g(x) will be 3

ab = 3 ...4

At x = 2, g(x) will be 9

ab² = 9 ...5

From equations 4 and 5, we have

a = 1 and b = 3

Then the exponential function will be

[tex]\rm g(x) = 3^x[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

C

Step-by-step explanation:

Answer:

f^6h^6

Step-by-step explanation:

f^9 h^23

-----------------

f^3 h^17

We know a^b / a^c = a^(b-c)

f^9 / f^3 = f^(9-3) = f^6

h^23 / h^17 = h^(23-17) = h^6

f^6h^6

Answer:

[tex]580\text{ miles per hour}[/tex]

Step-by-step explanation:

To solve this problem, we can use the formula [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate, and [tex]t[/tex] is time.

Let's start by calculating how long the small airplane takes to complete the journey. The distance is 1160 miles and the rate is 290 miles per hour. Therefore, we have:

[tex]1160=290t,\\t=\frac{1160}{290}=4\text{ hours}[/tex]

Since the Boeing 747 left 2 hours after the small airplane left, the small airplane has just [tex]4-2=2[/tex] hours left of travelling time.

Therefore, to arrive at the same time as the small airplane, the Boeing 747 must cover the same distance of 1160 miles in only 2 hours. Hence, the Boeing 747's speed must have been:

[tex]1160=2r,\\r=\frac{1160}{2}=\boxed{580\text{ miles per hour}}[/tex]

Answer: A)  4√2 units

Step-by-step explanation:

Use the distance formula to find the distance(d) between Point D and Point C:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]

Answer:

$3

Step-by-step explanation:

7 rands for $1

7×3=21

21 rands for $3

Answer:

$3

Step-by-step explanation:

7 rand = 1 dollar

Divide both sides by 7 rand.

1 = (1 dollar)/(7 rand)

Notice that the fraction (1 dollar)/(7 rand) equals 1, so multiplying by it will not change the amount, just the units.

21 rand * (1 dollar)/(7 rand) =

= 21/7 dollar

= 3 dollar = $3

Answer:

c

Step-by-step explanation:

hope it helps!!!!!!!!!!!!!!

Answer:

136 cm2

Step-by-step explanation:

6*2=12    12*2=24

6*7=42   42*2=84

7*2=14    14*2=28

Add.

24+84+28=136

I hope this helps!

Answer:

Option B, cotangent is the reciprocal of tangent

That option is correct

Answer:

B.

[tex]{ \tt{f(x) = \sqrt[3]{x + 11} }}[/tex]

let the inverse of f(x) be m:

[tex]{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}[/tex]

substitute for x in place of m:

[tex]{ \bf{f {}^{ - 1}(x) = {x}^{3} - 11 }}[/tex]

Im sorry I don't know the answer to the question

Answer:

bajskalakbskajalabsnsja

Answer: 4.25

Step-by-step explanation:

2.5/100 = 0.025

0.025 × 170 = 4.25

but the question there is any goats in 2.5 cm ??

that is impossible

Answer:

3

Step-by-step explanation:

chain by chain

parllel

series

$5531.49

(9×9)×$68.29