Let J5 = {0, 1, 2, 3, 4}, and define a function F: J5 → J5 as follows: For each x ∈ J5, F(x) = (x3 + 2x + 4) mod 5. Find the following:
a. F(0)
b. F(1)
c. F(2)
d. F(3)
e. F(4)

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer:

-3 and 7

Step-by-step explanation:

-3 and 7 because

Multiply:  7 × -3 = 21

Add:  -3 + 7 = 4

Answer:

For me,the answer will be A.

im not sure

correct me if im wrong

love ya

Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

8 - 5 < x < 8 + 5 , then

3 < x < 13 → B

The standard deviation of the resulting data would be 51.

When each value in a data set is multiplied by a constant, the standard deviation is also multiplied by that constant. In this case, each value in the original data set is multiplied by 8.5. Since the original standard deviation was 6, when each value is multiplied by 8.5, the standard deviation becomes:

New Standard Deviation = 6 * 8.5 = 51

So, the standard deviation of the resulting data would be 51. This is because when values are multiplied by a constant, it changes the spread and variability of the data, and the standard deviation provides a measure of this spread. In this situation, the spread of the data increases as each value is multiplied by 8.5, resulting in a larger standard deviation of 51.

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The temperature of the soda after 19 minutes will be 6.6°C.

The given details are: A can of soda that was forgotten on the kitchen counter and warmed up to 23°C was put back in the refrigerator whose interior temperature is kept at a constant 3°c.

The temperature of the soda follows the exponential decay model, which means the change in temperature at each moment depends on the difference between the temperature of the soda and the refrigerator.

We can use this model to solve the problem.

                               T = (Tc + (Ts - Tc)e^(-kt)), where T is the temperature of the soda, Tc is the temperature of the refrigerator, Ts is the initial temperature of the soda, k is the rate of cooling, and t is time.

We can solve for k using the given data.

                          For T = 14°C at t = 7 min,

                             T = (3 + (23 - 3)e^(-7k)) 14

                               = 3 + 20e^(-7k) 11e^(7k)

                                = 20 e^(7k) = 20/11 k

                                 = ln(20/11)/7 k = 0.0631

Thus, T = (3 + 20e^(-0.0631t))After 19 minutes,

                                            T = (3 + 20e^(-0.0631(19))) = 6.6°C.

Thus, the temperature of the soda after 19 minutes will be 6.6°C.

Therefore, the detailed solution for the given problem is as follows:

                                T = (Tc + (Ts - Tc)e^(-kt))

At t = 7 minutes, the temperature of the soda, T = 14°C.

Therefore, we have

                                 14 = (3 + (23 - 3)e^(-7k))11e^(7k) = 20e^(7k) = 20/11k = ln(20/11)/7k = 0.0631

Therefore, the equation for the temperature of the soda is T = (3 + 20e^(-0.0631t))

After 19 minutes,T = (3 + 20e^(-0.0631(19))) = 6.6°C

Thus, the temperature of the soda after 19 minutes will be 6.6°C.

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Answer:

A Strawberries generally cost less.

D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.

Step-by-step explanation:

A and D

The series ∑ n=2 [infinity] (ln(n) / 4n) n converges. The correct option is B.

To test the convergence of the series ∑ n=2 [infinity] (ln(n) / 4n) n, we can use the Limit Comparison Test.

First, we choose a comparison series that is easier to analyze. Let's consider the series ∑ n=2 [infinity] (1 / n2).

Take the limit of the ratio of the terms of the given series and the comparison series as n approaches infinity:

lim(n→∞) [(ln(n) / 4n) / (1 / n2)]

Simplifying, we get:

lim(n→∞) [ln(n) / (4n) * n2]

= lim(n→∞) [ln(n) / 4n+2]

By applying L'Hôpital's Rule, we can evaluate the limit:

lim(n→∞) [(1 / n) / (8n)]

= lim(n→∞) (1 / 8n2)

= 0

Since the limit of the ratio is a finite non-zero value (0), and the comparison series ∑ n=2 [infinity] (1 / n2) is a convergent p-series with p = 2, we can conclude that the given series ∑ n=2 [infinity] (ln(n) / 4n) n also converges.

Therefore, the correct option is "The series converges" (Option B).

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Answer:

you just do T-minus 5 4 3 2 1 and then T-plus 5 4 3 2 1

2.54 x 10 = 25.4

please give e brainliest please

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Answer:

Step-by-step explanation:

(1). Elote:

$7200.00 × 0.2 = $1440.00

$1440.00 ÷ 72 = 20 ( Elote, Cantidad vendida )

(2). Chocolate y fresas:

$7200.00 × 0.15 = $1080.00

$1080.00 ÷ 8 = $135.00 ( Precio )

(3). Frutas de temporada:

$7200.00 × 0.25 = $1800.00

$1800.00 ÷ $120 = 15 ( Cantidad vendida )

(4). Tres leches:

$7200.00 × 0.1 = $720.00

$720.00 ÷ 5 = $144.00 ( Precio )

(5). Galletas ( paquete ):

$7200.00 × 0.15 = $1080.00

$1080.00 ÷ $30.00 = 36 ( Cantidad vendida )

Answer:

1.5/5 or 1 1/2/5

B: 3/10

Step-by-step explanation:

2.5/5  is the whole part of pizza with pepperoni. So 1/5 subtracted from 2/5/5 is 1.5 The remaining part of the pizza with pepperoni is 1.5/5!

1.5/5 is 0.3

3/10=0.3!

Answer:

B. 336. 38

Step-by-step explanation:

So, what you want to do is multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is your markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

THIS IS NOT YOUR ANSWER!

don't forget that!

you will then subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

Round up then there is your answer!

= $336. 38

hope this helps!!

Answer:

32°F

Step-by-step explanation:

Answer:  \(y = 20\sqrt{15}feet\), \(x = 10\sqrt{15}feet\)

Step-by-step explanation:

given data:

area of the pool = 1800 square feet.

length along the deck = 5- foot

length of side along the deck = 10-foot

Solution:

dimension of  the pool = \(x * y\)

total area \(A = (20+y)(10+x)\)\(...................eqn1\)

since \(xy = 3000\\\)

\(y = \frac{3000}{x}\)\(..............................eqn2\)

insert eqn2 into eqn1

\(A = (\frac{3000}{x} +20)(10+x)\)

\(A = \frac{3000(x+10)}{x^{2} } + \frac{3000}{x} +20\)

\(20 - \frac{30000}{x^{2} } = 0\)

\(x = 10\sqrt{15}\)feet

to solve for y, \(\frac{60000}{x^{3} }\)

\(y = 20\sqrt{15}\)

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

Answer:

x=64

Step-by-step explanation:

∠A = 180-(90°+32°)

=> ∠A=180-122= 58

Angle sum property in Triangle=180°

=> x = 180° - (58°+58°)

=> x = 180° - 116°= 64°

    by multiplying each term in the parentheses by the term outside

-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)

                   = -30y + 12u + 18

Answer:

$37.85

Step-by-step explanation:

Here the price is $34.98 and there's an 8.2% tax on that.  To obtain the after-tax amount due, multiply $34.98 by (1 + 0.082), or 1.082, obtaining:

1.082($34.98) = $37.85 (rounded to the nearest cent)

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'

Given the equation of the distance modelled as s(t)=at²+bt+c

If after 1 second the rock was 63 m, then 63 = a+b+c

If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c

Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c

i) Solving the 3 equations simultaneously to get a, b and c we have;

a+b+c = 63 ... 1

4a+2b+c = 72 ...2

49a+7b+c = 27 ...3

Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;

eqn 2- eqn1: 3a + b = 9...4

eqn 3- eqn 2: 45a + 5b = -45

eqn 3- eqn 2: 9a+b = -9 ... 5

solving 4 and 5 simultaneously

3a + b = 9 ...4

9a+b = -9 ... 5  

Taking the difference of 4 and 5 we have

6a - -9-9

6a = -18

a = -3

substituting a = -3 into equation 4 to get b we have;

3(-3)+b = 9

-9 + b = 9

b = 9+9

b = 18

substituting a = -3 and b = 18 into equation 1 to get c we have;

-3+18+c = 63

15+c = 63

c = 48

a = -3, b= 18 and c = 48

The distance function will be s(t) = -3t²+18t+48

ii) If the height of the cliff is modelled by the equation  s(t)=at²+bt+c

The height of the cliff is at when t = 0

s(0) = -3(0)²+18(0)+48

s(0) = 48m

The height of the cliff is 48m

iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;

s(t)=at²+bt+c

0 = -3t²+18t+48

3t²-18t-48 = 0

t² - 6t - 16 =0

t² - 8t+2t - 16 = 0

t(t-8)+2(t-8) = 0

(t+2)(t-8) = 0

t = -2 or 8

Taking the positive value of the time, t = 8secs

Time taken for the rock to reach sea level is 8secs

Answer: -49.25 feet below sea level

Explanation: 30.75 - 30.75 - 18.5 = -49.5

Hope this helps!

Type - I error states that the training program actually raised the score but statistically, it is not.

Type-II error states that the training program does not actually raise the score but statistically, it raised the scores.

Given statement is

"A random sample of test-takers who had completed the training showed a mean increase smaller than 30 points."

Hypothesis is,

Null hypothesis H0 :μ ≥ 30 (claim)

Alternate hypothesis H1 :μ < 30  (actual result)

in the null hypothesis, we have to consider the claim and the other in the alternate hypothesis.

In the given context of the problem, the Type-1 error will be stated below

" If in reality, the training program raises the SAT score by more than or equal to 30 points and statistically the claim is rejected".

The training program actually raised the score but statistically, it is not.

Type-II error

" If in reality, the training program does not raise the SAT score by more than or equal to 30 points and statistically the claim is failed to reject".

The training program does not actually raise the score but statistically, it raised the scores.

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Answer:

B

Step-by-step explanation:

if you take your anwser and multilpy it by the factor you get B

Answer:

equation of line in y

Step-by-step explanation:

slope Y and given point (0,3)

y=3

or y-3=0

Answer:

18+6=24 then 24/4=6

Step-by-step explanation:

Given function is y = 4x + 3The slope of the graph is given by the coefficient of x i.e. 4.So, the slope of the given graph is 4.To find the y-intercept, we need to put x = 0 in the given equation. y = 4x + 3  y = 4(0) + 3  y = 3Therefore, the y-intercept of the graph is 3.Sketching the graph:We know that the y-intercept is 3,

Therefore the point (0,3) lies on the graph. Similarly, we can find other points on the graph by taking different values of x and finding the corresponding value of y. We can also use the slope to find other points on the graph. Here is the graph of the function y = 4x + 3:Answer: The slope of the graph is 4 and the y-intercept is 3.

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The value of the side x is 7. 986cm

Following that there are six different trigonometric ratios given as;

We have that the trigonometric ratios are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have;

Using the cosine identity;

cos 37 = x/10

cross multiply the values

x = 7. 986cm

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The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

~

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5\(n\) by 4. So, the mistake was that the student did not distributed the 1 and 5\(n\), in which the student only distributed the 1.

-The equation: \(8n + 4(1+5n)=-6n-14\)

-Distributed Incorrectly:

\(8n + 4+5n=-6n-14\)  (only distributed the 1 by the 4)

-Distributed Correctly:

\(8n + 4+20n=-6n-14\)  (distributed both 1 and 5\(n\) by the 4)

-The correct calculation:

\(8n + 4(1+5n)=-6n-14\)

\(8n + 4+20n=-6n-14\)

\(12n+4 = -6n -14\)

\(12n + 4+ 6n=-6n+6n-14\)

\(18n +4 = -14\)

\(18n +4 -4 = -14 -4\)

\(18n = -18\)

\(\frac{18n}{18}= \frac{-18}{18}\)

\(n = -1\)

The correct answer is \(n = -1\) .

Answer:

no

Step-by-step explanation:

to be perpendicular the second equation would have to be -x (the opposite of x)

these lines are parallel

Answer:

No, not perpendicular

Step-by-step explanation:

Compare the slopes of the two lines.  In each case the slope is 1.  Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.