Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

Answer:

Step-by-step explanation:

[tex]1[/tex]

Answer: 5 large

Step-by-step explanation:

$6.75 per pizza for 4 large pizzas

$6.40 per pizza for 5 large pizzas

Answer:

2^4 × 3

Step-by-step explanation:

Answer: 1727.9

Step-by-step explanation:

Volume = πr2h

= π×52×22

= 550π

= 1727.8759594744 feet3

Answer:

Use n(u) formula of chapter sets

Step-by-step explanation:

Have a good day

11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

Given that in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science, to determine A) how many students were majoring in math only; B) how many students were not majoring in computer science; and C) how many students were not math or computer science majors; the following calculation must be performed:

Therefore, 11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

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Answer:

0=2

There are no solutions

Step-by-step explanation:

Answer:

2x – 5x + 16 = – 3(x – 6)

-3x + 16 = - 3x + 18

-3x + 3x + 16 = 18

16 = 18

Thus, This is a False Equation

-TheUnknownScientist

Answer:

$3903.17

Step-by-step explanation:

12 months in a year.

46,838 / 12 = $3903.17

Answer:

3,903.20

Step-by-step explanation:

Divide by 12 because there is 12 moths in a year

3,903.16667

Answer:

Can you take a better picture plz because I can’t see the pic.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

let a = second month's revenue

5000 = a(1.3)

a = 5000 / 1.3 = 3846

Answer:

Step-by-step explanation:

750.05 easy :)

Answer:

$796.26

Step-by-step explanation:

answer on my exam

Answer:

all angles add up to 360 degrees

Step-by-step explanation:

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Answer: change, position, shape

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think you have to multiply then divide

Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23

Answer:

Angle A = 46

Step by Step Explanation:

Sin(A) = [tex]\frac{18}{25}[/tex]

A = Sin⁻¹ ([tex]\frac{18}{25}[/tex] )

A = 46.05 or 46

Hope this helps!

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

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According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.

In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.

Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79

Cut this in half and get (32%)/2 = 16%

16% of the population is in either tail.

16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.

The 16th percentile is the marker where 16% of the population is below that value.

Therefore, the 16th percentile is the value  65  

16% of the class scored less than 65 on the test.

Answer:

a = 3, b = -18

Step-by-step explanation:

You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:

[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]

[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]

Now we can rewrite the equation:

[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]

and combine the terms with the same denominator:

[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]

[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]

Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].

[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]

And simplify:

[tex]\frac{3x-18}{x^2-4}[/tex]

a = 3, b = -18

The value of the integers a and b are 3 and - 18 respectively.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .

The first one can be written as :

= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]

= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]

and the second one can be written as :

= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]

= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

The expression will be :

= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]

= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]

= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]

By simplifying it , we get :

= [tex]\frac{3x-18}{x^{2} - 4}[/tex]

If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :

[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]

or

3x - 18 = ax + b

or

The values of a and b are :

a = 3 and b = -18.

Therefore , the value of the integers a and b are 3 and - 18 respectively.

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Answer:

D. 180 mm

Step-by-step explanation:

At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:

20 + 20 = 40

60mm - 40mm = 20mm

60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm

180 mm

Answer:

11x11 inches

Step-by-step explanation:

You are missing the first part of the problem, which is the following:

"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"

With this in mind, we just need to solve the equation and determine the value of x. The equation is:

(x - 3)² = 64

Solving this, we have:

x - 3 = √64

x - 3 = 8

x = 8 + 3

Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.

Hope this helps

Answer:

11x11

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you have 5 teams, then it has to be 5 games.

Answer:

The answer would be 4 times, since there are 4 other teams for each team to play.

Example:

Say I'm Team Red, and the other teams are Yellow, Green, Blue, and Purple. I would need to go against each of the other teams once and since there is 4 of them, I would have 4 games to play.

Answer:

(2x-7)^2

Step-by-step explanation:

you need to find two numbers that add up to -28, but multiply to 196, so -14, then spread out your equation and sub in -14, then divide out common factors, and then you have your answer

if you have any questions, leave them in the comments, i will try to answer them, if this helped, pls give brainliest

Answer:

[tex]g(x)=4x^2-28x+49[/tex]

[tex]=4(x^2-7x)+49[/tex]

[tex]=4(x^2-7x+(7/2)^2-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-49/4)+49[/tex]

[tex]=4(x-7/2)^2+0[/tex]

[tex]4(x-7/2)^2+0[/tex]

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

so,

[tex]g(x)=4(x-7/2)^2+0[/tex]

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

hope it helps....

have a great day!!

Answer:

5

Step-by-step explanation:  1/2 probability, 10 / 2 equals 5

Answer:

The best prediction possible for the number of times it will land on tails is 5 times.

Step-by-step explanation:

Because there are two sides to a coin, that means there will be a 50% chance of landing on a side. Since you are flipping 10 coins, the best prediction to make is that 50% of the flips, or 5 flips, will result in tails.