Two letters are selected at random from the letters of the word Television. Find the probability that both of them are same letters.

Answer:

x = 15

UV = 12

SV = 31

Step-by-step explanation:

#3) ST + TU + UY is the same length as the line below

which is labeled as '4x-29'; so we can use this equation to find 'x':

13+6+2x-18 = 4x-29

combine 'like terms':

1 + 2x = 4x - 29

subtract '2x' from each side to get:

1 = 2x - 29

add 29 to each side to get:

30 = 2x

30/2 = x

15 = x

UV = 2x-18 so substitute 15 in for 'x' to get:

UV = 2(15)-18 = 30-18 = 12

UV = 12

SV = 13 + 6 + 12 which equals 31

Answer:

Second option

Step-by-step explanation:

Given the following equation:

[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]

In order to find the answer, we have to simplify and isolate the variable, then add the decimals to solve for p.

[tex]\frac{p-4.6}{5.7} =\frac{6.1}{2}[/tex]
[tex]\frac{5.7(p-4.6)}{5.7} =\frac{6.1\times 5.7}{2}[/tex]
[tex]p-4.6=17.385[/tex]
[tex]p-4.6+4.6=17.385+4.6[/tex]
[tex]17.385+4.6=21.985[/tex]
[tex]p=21.985[/tex]

Hope this helps.

Answer:

p = 21.985 for K12

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$500\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 500=P(0.04)(5)\implies \cfrac{500}{(0.04)(5)}=P\implies 2500=P[/tex]

The amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Mathematically, simple interest is

I = Prt,

where I represents the simple interest on an amount of money, P, for t years at r rate.

Now it is given that,

Simple interest, I = $500

Interest Rate, r =  4% = 0.04

Time, t = 5 years

Since, Simple interest, I = Prt

⇒ P = I/rt

⇒ P = 500/(0.04*5)

⇒ P = 500/0.20

⇒ P = $2500

which is the required Principle amount.

Thus, the amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

To learn more about simple interest:

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Answer:

the answer would be D) undefined

Step-by-step explanation:

above is what the graph should look like and in that graph there is no slope.

Answer:

c = -4

Step-by-step explanation:

If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.

10 = 2(2^3) - 2 + c    Now, we only have to deal with one variable, that is c.

10 = 2(8) - 2 + c

10 = 16 - 2 + c

10 = 14 + c

-4 = c    After simplifying, we get that c is -4.

To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!

f(2) = 2(2^3) - 2 - 4

f(2) = 2(8) - 2 - 4

f(2) = 16 - 2 - 4

f(2) = 10

[tex]\\ \tt\hookrightarrow 2x^3-x+c=10[/tex]

[tex]\\ \tt\hookrightarrow 2(2)^3-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 2(8)-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 16-2+c=10[/tex]

[tex]\\ \tt\hookrightarrow 14+c=10[/tex]

[tex]\\ \tt\hookrightarrow c=-4[/tex]

Answer:

0

Step-by-step explanation:

The square root of 0 is 0.

0 + 3 = 3

Answer: 18.5 in

Step-by-step explanation:

You need to be more specific

Step-by-step explanation:

√1 = 1, √2 = 1.414213562, √3 = 1.732050808, √4 = 2, √8 = 2.828427125 Step#2: Add up = 8.974691495

Answer:

-15625

Step-by-step explanation:

Import this equation onto Symbolab and It will show you all the steps for free.

Answer:

x² +4x

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given: base= 2x, height= x +4

Area of triangle

= ½(2x)(x +4)

= x(x +4)

= x(x) +x(4) (expand)

= x² +4x

Answer:

[tex]-5\leq x\leq 3[/tex]

Step-by-step explanation:

The reason is that if you count each line on the graph you see that it starts at -5 and ends at 3.

(Hint: each line on the graph is incrementing by 1)

Hope this helps! :)

Please mark as brainiest if this worked or ask me a question if you do not understand :)

Step-by-step explanation:

x=y+9

substitute

3(y+9)+8y=-6

3y+27+8y= -6

13y = -6 -27

13y= -33

y = -33/13

x = -33/13 + 9

Answer: 12

Step-by-step explanation:

Orange, paper

O, Plastic

O, M

O, C

V, paper

V, Plastic

V, metal

v, cardboard

RB, PAPER

RB, PLASTIC

RB, METAL

RB, CARDBOARD

Answer:

-2, 54, 110

Step-by-step explanation:

When x = 0:

[tex]y + 2 = 14(0)[/tex]

[tex]y + 2 = 0[/tex]

Subtract 2 from both sides:

[tex]y = - 2[/tex]

When x = 4:

[tex]y + 2 = 14(4)[/tex]

[tex]y + 2 = 56[/tex]

Subtract 2 from both sides:

[tex]y = 54[/tex]

When x = 8:

[tex]y + 2 = 14(8)[/tex]

[tex]y + 2 = 112[/tex]

Subtract 2 from both sides:

[tex]y = 110[/tex]

Answer:

rate of change is -3

A = (9 - 0) / (0 - 3) = 9 / -3 = -3

Step-by-step explanation:

Answer:

  4400 yards

Step-by-step explanation:

Many folks remember there are 5280 feet in a mile. Then 2.5 miles is ...

  (2.5 mi)(5280 ft/mi) = 13,200 ft

There are 3 feet in a yard, so the number of yards in 2.5 miles is ...

  (13,200 ft)/(3 ft/yd) = 4,400 yd

__

Of course, this is easier if you remember there are 1760 yards in a mile.

  (2.5 mi)(1760 yd/mi) = 4,400 yd

_____

Additional comment

In general, units conversion is accomplished using conversion factors that have a value of 1. That is, they are a fraction whose numerator and denominator are equal, but expressed in different units. The units of the conversion factor are chosen to cancel the units you don't want and leave a result in units you do want.

  [tex]2.5\text{ mi}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ yd}}{3\text{ ft}}=\dfrac{2.5\times5280\text{ mi$\cdot$ft$\cdot$yd}}{3\text{ mi$\cdot$ft}}=\dfrac{13200}{3}\text{ yd=\boxed{4400\text{ yd}}}[/tex]

__

You might remember there are 1760 yards in a mile, because a typical high-school oblong running track is 440 yards, or 1/4 mile.

Answer:

[tex]4400\ yards[/tex]

Step-by-step explanation:

Step 1:  Convert miles to yards

[tex]1\ mile = 1760\ yards[/tex]

Since we know that 1 mile is equal to 1760 yards we can just multiply our 2.5 miles by 1760 which would cancel out miles and leave us with yards.

[tex]2.5\ miles * \frac{1760\ yards}{mile}[/tex]

[tex]4400\ yards[/tex]

Answer:  [tex]4400\ yards[/tex]

Step-by-step explanation:

side = 5 yards

area = side × side = 5 yd × 5 yd = 25 yd²

side = 6 yards

area = side × side = 6 yd × 6 yd = 36 yd²

side = 7 yards

area = side × side = 7 yd × 7 yd = 49 yd²

Answer:

3t > 2c

Step-by-step explanation:

The left side has 3 triangles (therefore 3t) and the right side has 2 circles (therefore 2c).

Since the side with the triangles is heavier than the side with the circles, it is 3t > 2c.

The inequality to represent the relationship of the weights is 3t > 2c.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

let t be the weight of the triangle in grams.

let c be the weight of the circle in grams.

from the figure,

Number of Triangle = 3

Number of Circle= 2

So, weight of triangle = 3t and weight of circle = 2c

Since the weight of triangle is greater than weight of circle.

Thus, the inequality is 3t> 2c.

Learn more about Inequality here:

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To find the time that it will take for the ball to hit the ground we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

We should start by the easier part, which is acceleration.

The only force acting on the ball will be the gravitational force, this means that the acceleration of the ball is -9.8 m/s^2

a(t) = -9.8 m/s^2

To get the velocity, we integrate over time, and remember that the constant of integration is equal to the initial velocity, which we already know is equal to 15m/s.

v(t) = (-9.8 m/s^2)*t + 15m/s.

To get the position equation we integrate again, this time the constant of integration is the initial position, which is 1m.

p(t) = (1/2)(-9.8 m/s^2)*t^2 + (15m/s)*t + 1m

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m

The ball will hit the ground when the position is equal to zero, so we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

If you want to learn more about motion equations, you can read:

https://brainly.com/question/605631

Answer:

23 units

Step-by-step explanation:

root 149

Step-by-step explanation:

Answer: False, it's not a solution

================================================

Explanation:

Replace every copy of c with 12. Then simplify.

4c - 2 > 46

4*12 - 2 > 46

48 - 2 > 46

46 > 46 ... false

The statement is false because there isn't a number that's larger than itself (or smaller than itself).

Since the last statement is false, this means the first inequality is false when c = 12.

Therefore, c = 12 is not a solution.

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

Another approach:

Let's isolate c in the original inequality.

4c - 2 > 46

4c > 46+2

4c > 48

c > 48/4

c > 12

The solution set consists of numbers larger than 12. We leave 12 itself out of the solution set.

This is because c > 12 would be 12 > 12 which is false.

Think about what the question is asking...  When does that cost reach 0?

[tex]f(x) =4500 -120x + 60x \\[/tex]

Solve for when f(x) = 0

[tex]0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75[/tex]

The store breaks even when it sells 75 bikes.

Hope this helps!

:)

Answer:

x=0

Step-by-step explanation:

[tex]2(x+3)-4(x-1)=10\\\\2x+6-4x+4=10\\\\-2x+10=10\\\\-2x=10-10\\\\x=0/-2\\x=0[/tex]

Answer:

1:eight hundred and twenty one

2:three hundred and fifty

3:six hundred and four

4:nine hundred and five

hope it helps...pls mark brainlest

$4.35 is the answer to the question.

Answer:

2.85/per cone

4.35/per sundae

Step-by-step explanation:

5 ice cream cones

3 sundaes

27.30 - 14.25 = 13.05

13.05 divided by 3 = 4.35/per sundae

14.25 divided by 5 = 2.85/ per cone

Answer:

x=45

Step-by-step explanation:

180-90=90÷2=45

Answer:

13.75 ponds or 13 3/4 pounds ( same thing, just ones in decimals and ones in fractions)

Step-by-step explanation:

if you add 5 1/2 (5.5) and 8 1/4 (8.25) equals 13.75 ( or 13 3/4)

Answer:

x=22, y=45

Step-by-step explanation:

y=45 by definition (180-90)/2

180 = 46 + 2x

x = 22

Answer:

The ratio is 11:8

Step-by-step explanation:

There's 11 trees in Jeans yard hence the first number of the ratio (11)

While Anita has 8, hence the second number in the ratio (8)

Therefore the ration of Jean's trees to Anita's is 11:8

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation: divide each of them by 2 because y = 1/2 of x

not sure this is correct this is just what I think it is.