True or False. All Rational Numbers are also Integers.

Answer:

Step-by-step explanation:

[tex]r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}[/tex]

The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

The formula above represents the explicit formula to determine the nth term of the sequence.

The recursive formula is used to determine the nth term when (n-1) th term is given.

The geometric sequence is,

56, -28, 14, -7,.................

The first term of the sequence is 56

The common ratio is determined by taking the ratio of the second term to the first term.

r = -28/56 = -1/2

The recursive formula is represented by,

aₙ = r * aₙ₋₁

aₙ = (-1/2) * aₙ₋₁

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Answer:

k = 16

Step-by-step explanation:

To solve this we must isolate k.  Let's first simplify this equation by subtracting   8 from both sides:

k/4 = 4

Next, remove the fraction by multiplying both sides by 4:

k = 16

Answer: 0.44

Step-by-step explanation:

Answer:

f(-3) = 10

Step-by-step explanation:

Simply plug in x as -3 to find f(-3):

f(-3) = -6(-3) - 8

f(-3) = 18 - 8

f(-3) = 10

Answer: The probability that no women are chosen to be in the committee is 2/5 or 0.40.

Step-by-step explanation:

We have two positions, and we have 6 options for those positions, 3 are men, and 3 are women.

If we want to see the probability where no women are chosen, then this means that in the first selection a man is chosen.

If all the 6 nominees have the same probability of being chosen, then the probability that in the first selection a man is chosen is equal to the number of men divided the total number of nominees, this is:

p1 = 3/6 = 1/2.

Now the same happens for the second selection, but now we have 5 total nominees and 2 are men, so the probability now is:

p2 = 2/5

And the joint probability will be the product of the individual probabilities, then we have:

P = p1*p2 = (1/2)*(2/5)  = 2/5.

The probability that no women are chosen to be in the committee is 2/5 or 0.40.

The probability that no woman is chosen to be on the committee is 0.40.

A club is choosing 2 members to serve on a committee.

The club has nominated 3 women and 3 men.

The number of ways to select two persons from 6 will be:

[tex]\rm = ^6C_2[/tex]

Therefore,

The probability that no woman is chosen to be on the committee is;

[tex]= \dfrac{1}{2} \times \dfrac{2}{5}\\\\= \dfrac{1}{5}\\\\=0.40[/tex]

Hence, the probability that no woman is chosen to be on the committee is 0.40.

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Answer:

a

Step-by-step explanation:

just did it

Answer:the 2nd one is the answer it's easy I just did it :

Answer:

He needs to pay $5

Step-by-step explanation:

$25 + $5 = $30 < how much he paid

$35 - $30 = $5 < how much more he needs to pay

Answer:

21

Step-by-step explanation:

21 yeet

brainlest plz is 21 if you dont brainlest you are gay

Answer:

The distance between the point is 1806 unit

Step-by-step explanation:

Given that,

The distance between the point in Maine and the point in Tennessee.

Suppose, The points are (-801,670) and (990,900)

We need to calculate the distance between the point

Using formula of distance

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

Put the value into the formula

[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]

[tex]d=1806\ unit[/tex]

Hence, The distance between the point is 1806 unit.

Answer:

x=75

Step-by-step explanation:

first no.=x

second no.=x+1

third no.=x+2

now,

or,

x+x+1+x+2=228

or,

3x+3=228

or,

3x=228-3

or,

x=225/3

x=75 ans

Answer:

For me I think 216 diapers for 39.98 is the best option

Step-by-step explanation:

Get the price of one diaper in each offer

216 = $39.98

1= ?

1×39.98÷216=0.19

Option 2

88=24.99

1 =?

1×24.99÷88=0.28

So I prefer buying 1 diaper for$0.19 and get 216 of them for $39.98 rather than buying 1 diaper for $0.28 and get 88 of them for $24.99

Answer:

The percentile rank of the data value 73 is 84.

Step-by-step explanation:

In this problem, you want to find the percentile rank of the data value 73 in the data set.

The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.

Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.

Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:

percentile rank = (L/N)(100)

where L is the number of data values that are less than or equal to 73, and N is the size of the data set.

Substituting in values for this problem, we have:

percentile rank = (21/25)(100)

percentile rank = (0.84)(100)

Percentile ranks are always expressed as whole numbers.

Evaluating the multiplication above and rounding to the nearest whole number we have:

percentile rank = 84

Interpreting our answer, 84% of the numbers in the data set have values less than or equal to 73.

Answer:

10

Step-by-step explanation:

Change the fraction to a decimal:

2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

Multiply:

4 x 2.5 = 10

10 is your answer.

~

Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Step-by-step explanation:

Lo que tiene la planta es:

Una salsa con 25% de azúcar

Una salsa con 45% de azúcar.

Vamos a definir dos cantidades, A y B.

A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.

Como queremos producir 1000 litros de salsa, tenemos la ecuación:

A + B = 1000 L

Ahora, queremos que el producto final tenga 30% de azúcar.

El porcentaje de azúcar se define como:

(Cantidad de azúcar/Cantidad total de salsa)*100%.

Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:

0.25*A

Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:

0.45*B

Entonces cuando los mezclamos, la cantidad total de azúcar es:

(0.25*A + 0.45*B)

Y usando la formula de arriba, tenemos que:

100%*(0.25*A + 0.45*B)/(A + B) = 30%

Ahora divido ambos lados por 100%.

(0.25*A + 0.45*B)/(A + B) = 0.30

Entonces tenemos un sistema de dos ecuaciones:

A + B = 1000 L

(0.25*A + 0.45*B)/(A + B) = 0.30

El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:

A = 1000L - B

Ahora puedo reemplazar esto en la segunda ecuación:

(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30

Y ahora lo resolvemos para B.

(250 L - 0.25*B + 0.45*B)/1000L = 0.30

250L + 0.20*B = 0.35*1000L = 300L

0.20*B = 300L - 250L = 50L

B = 50L/0.2 = 250L

Entonces:

A = 1000L - 250L = 750L.

Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Answer:

m = $12 per week

Step-by-step explanation:

The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.

First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.

Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.

Answer: The infinite geometric series converges to 38.4

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

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

Answer:

Top is right

Step-by-step explanation:

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

Answer:

45

Step-by-step explanation:

5z^x

Substitute each number for the right letter

5(-3)^2

5(9)

45

Answer:

8.9%

Step-by-step explanation:

sales tax rate (in percentage) = 409.40÷4600*100=8.9%

Answer:

h = 435.779 m

Step-by-step explanation:

Step 1: Define variables

∅ = 5°

Hypotenuse (the road) = 5000 meters

We need to find height (or the vertical leg on the triangle) = h

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin5° = h/5000

Step 3: Evaluate

5000sin5° = h

h = 435.779 m

Answer:

the increase of altitude is 435.8 m

Step-by-step explanation:

see attached

inclined road at 5°

after driving 5000 along the end road.

find:

increase of altitude (h)

let Ф = 5°

road = hypothenuse

using the formula Sin Ф = h ÷ hypothenuse

Sin(5) =      h      

              5000

h = Sin (5) x 5000

h = 435.8 m

therefore,

the increase of altitude is 435.8 m

Answer:

you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

1. Circle the two boats you picked for your trip.

the yacht and the tall ship (aka the pirate ship)

2. Make sense of the problem.

what do you know?

The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.

what do you want to find out?

How fast is each boat traveling in knots (nautical miles per hour)?

what kind of answer do you expect?

probably just some numbers like 10 miles per hour or 40 miles per hour

Writing some expressions

3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)

the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300

4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)

so the yacht's speed would be S = x knots, s is for speed.

5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)

the distance returning from the island would be D = 2.5x.

6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)

10x - 300 = 2.5x

7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)

  10x - 300 = 2.5x  

10x - 300 + 300 = 2.5x + 300

  10x -2.5x = 300

   7.5x = 300

        x = 40

x is the speed of the yacht. (40 nautical miles per hour)

8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)

the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.

9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.

Find the speed for the kayak. Use one of these facts to help.

The steamboat's speed is 4 less than 8 times the speed of the kayak.

The tall ship's speed is 1 more than 3 times the speed of the kayak.

The yacht's speed is 5 less than 15 times the speed of the kayak.

Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)

the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak

 40 = 15x - 5

  40 + 5 = 15x -5 + 5

 45 = 15x

   x = 3

therefore, the speed of the kayak is 3 nautical miles per hour.

10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.

It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?

If so, how long will you have to spend at the reef?

If not, how late will you be for the return trip?

Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)

the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.

we can solve for x by doing:

100 = 20x -40

100 + 40 = 20x - 40 + 40

140 = 20x

140 / 20 = x

    x = 7

so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:

7 / 3 = 2 1/3 hours.

2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)

7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)

330 - 280 = 50 min. (how many min I can spend at the reef)

This is for the people that want to find out how to find the distance to the island.

jamescodwell answered all the questions  correctly btw.

Step-by-step explanation:

Distance travelled divided by trip time = speed

trip time multiplied by speed = distance travelled

So the steamboat makes the trip in 5 hours travelling at a speed of 20 knots.

5 * 20 = 100 The trip to the island is 100 nautical miles.

Answer:

f(1)=5x-13=-8

Step-by-step explanation:

5-13=-8

or

f(1)=5x-13=-8

Step-by-step explanation:

10x2-10x+2

20-10x+2

22-10x

8x2+7-7

16+0

16

I'm confused so I add together cuz why not?

16+22-10x

28-10x

Answer:

1 is good number 2 is wrong number 3 is good

Step-by-step explanation:

your welcome im juss writting more so it wont say issa short question!!

Answer: 85 units

Step-by-step explanation:

x^2 +35x + 35 = 10235

-10235 on both sides

x^2 + 35x -10200

Now Factor

( x - 85 ) ( x + 120 )

Now plug in for x using 85 or -120

(85)^2 + 35(85) + 35

7225 + 2975 + 35 = 10235

So 85 is the right answer

Answer:

45

Step-by-step explanation:

1) First, add 45 and 12 which equals to 57.

2)Then, subtract 12 from 57 which equals to 45.

3) Again, add 45 and 12 which equals to 57.

4) Finally, subtract 12 from 57 which leaves us with 45.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

-2x-4

Step-by-step explanation:

-3-1-3x+x

-4-2x

Answer:

-2x-4?

Step-by-step explanation:

Assignment on Edge 2021

⊂(®ω®)⊃  

Answer:

Gabriela needs to sell 4 more cups of coffee to make a profit of $75.

She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.

90 x $0.80= $72

She wants to make $75 profit.

$75 - $72 = $3  profit short for the day

$3/$0.80 = 3.75 cups of coffee short  so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.

Step-by-step explanation:

Answer:f(g(0))= 1/5

              g(f(0))= 7

Step-by-step explanation:

for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3

                                                                                                    =3

 so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2

                                     = 1/5

so f(g(0)) is equal to 1/5

Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2

                                                                                               =1/2

now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3

                                                                         = 4+3

                                                                         =7

so g(f(0)) is equal to 7

Hope this helps:)