Thanks to whoever decides to help :)

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]

Answer:

20 - p

Step-by-step explanation:

If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.

So, set up the expression:

20 - p

The expression to represent how much change he will get is 20 - p

Answer:

the answer is A

Step-by-step explanation:

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

Answer:

7.5 metres

Step-by-step explanation:

According to the Question,

Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m

Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)

So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.

Answer:

24.6

Step-by-step explanation:

take 72 degree as reference angle

using tan rule

tan 72 = opposite / adjacent

3.07 = x/8

3.07 * 8 = x

24.56 = x

24.6 = x

Probability of getting tails when weighted coin is flipped is 2/5

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n'  outcomes, the number of favorable outcomes can be denoted by x.

The probability of an event can be calculated by simply dividing the  number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.

Given,

Chance of getting heads on the weighted coin = 60%

Probability of getting heads = 60/100

Probability of getting heads = 3/5

Probability of getting tails = 1 - 3/5

Probability of getting tails = 2/5

Hence, 2/5 is the probability of getting tails on flipping the weighted coin.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

Answer:

This is the answer48 cm²

Answer:

A = 44 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

We require to find the missing segment of b₁

Using the tangent ratio in the right triangle

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{adjacent}[/tex] = 1 , so

adjacent = 4

Then

b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

Answer:

Step-by-step explanation:

60% of the ticket were sold so just take 60% x 6,800 = 4080 (seats)

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

Two consecutive odd integers with a sum of 36 are 17 and 19.

Hope it helps you I'm from ph❤️

Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that he pulls out a red marble = number of red marbles / total number of marbles

= 4/20 = 1/5

Answer:

$27.00

Step-by-step explanation:

We first have to start at the base value of $45.00, as without that, we have nothing to go off of. We can work right to left because we start at the rightmost point of the problem.

Therefore, we start with finding 9/10 of 45.00 . This is as simple as multiplying 9/10 with 45.00, resulting in 40.5

To figure out a percentage relative to real numbers, we first have to turn that percentage into a fraction or decimal. To turn it into a decimal, we simply divide by 100, and 66 2/3 divided by 100 is roughly 0.6666 , or 2/3 . Multiplying our result of 40.5 by this, we get $27.00 as our answer.

Answer:

200π cm²

Step-by-step explanation:

Applying,

TSA = πrl+πr²

TSA = π(r²+rl)............. Equation 1

Where TSA = Total surface area, r = radius of the base, l = slight height of the cone

To get l we apply pythagoras theorem

From the diagram,

l² = 15²+8²

l² = 225+64

l² = 289

l = √289

l = 17 cm

Given: r = 8 cm

Substitute these values into equation 1

TSA = π(8²+17×8)

TSA = π(64+136)

TSA = π(200)

TSA = 200π cm²

Answer:

(x - 5)(x + 2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

pls give me brainliest

Answer:

A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.

Option is B

Step-by-step explanation:

Answer:

Mathew will earn $360.72 from his food

Step-by-step explanation:

We know that:

1 bushel of wheat = $5.40

And Matthew produced 66.8 bushels of heat this year

To find how much Matthew will earn from his field, multiply:

5.40 x 66.8 = 360.72

Therefore he will earn $360.72 from his field.

Hope thjs helps!

Answer:

(-2,4) radius = 2

Step-by-step explanation:

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

(h,k) point  r is the radius

Answer:

6x-3-4+x=4x+20

7x-7=4x+20

7x-4x=20+7

3x=27

X=27/3

X=9

Answer:

(6×-3)-(-4+×)=4×+20

6×-3--4+×=4×+20

6×+1+×=4×+20

6×-4×=20-1

2×=19

devide by two both sides

×=9.5

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Answer:

x=-5/4

Step-by-step explanation:

Let the number be  x and y

     x.y=2/5    (The product of two rational numbers is 2/5)

if  one of the number is  -8/25

x.(-8/25)=2/5

(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

x=(2/5) *(-25/8)    

x=-5/4  

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Product of two rational numbers = [tex]\frac{2}{5} [/tex]

One of the number = [tex]\frac{-8}{25} [/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The other number is [tex]\frac{ - 5}{4} [/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]

[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]

[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]

[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]

[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]