At the beginning of a population study, a city had 370,000 people. Each year since, the population has grown by 6. Let be the number of years since start of the study. Let y be the city's population . Write an exponential function showing the relationship between y and

The mixed number equivalent to the fraction 28 / 5 is 5 3 / 5

A fraction represented with its quotient and remainder is a mixed fraction.

Therefore, it is a combination of a whole number and a proper fraction.

Hence,

The fraction is in improper fraction, let's convert it to mixed fraction.

Therefore,

28 / 5 = 5 3 / 5

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Answer:

(a) 50:

3 53 103

(b) 60:

7 67 127

11 71 131

Step-by-step explanation:

OK, I think you can prove this with the theorem that any prime greater than 3 is 6n-1 or 6n+1, for integer n. In other words, any prime is near a multiple of 6; it is either one less or one more. The proof for this is very easy, look it up.

Given this fact, if two primes (p,q) are 70 a part, this means the first one has to be a case of 6n+1 and the second one has to be a case of 6n-1. Why? Because the nearest multiple of 6 is 72 and with +1 on one end and -1 on the other end, you can reach a "gap" of 70.

Now for the next two primes (q,r) the same must hold. Only, it can't because this requires q to be both 6n-1 and 6n+1.

The number of students who voted is 240.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

The number of students who voted = number of votes Sari received / percentage number

60 / 0.25 = 240

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The value of k in g(x) = 5^x + k is -7

The complete question is added as attachment

The functions are given as:

f(x) = 5^x

g(x) = 5^x + k

From the attached graph, we can see that:

f(x) is shifted down by 7 units to form g(x)

This means that:

g(x)= f(x) - 7

This gives

g(x) = 5^x - 7

Substitute g(x) = 5^x - 7 in g(x) = 5^x + k

5^x + k = 5^x - 7

This gives

k = -7

Hence, the value of k in -7

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The transformation of the function, y=1/7 x from y = x is y = 7x

The function is given as:

y = 1/7x

The transformation rule is given as:

y = x

This means that we swap x and y.

So, we have:

x = 1/7 y

Multiply through by 7

y = 7x

Hence, the transformation of the function, y=1/7 x from y = x is y = 7x

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Answer:

  $6.70 per hour

Step-by-step explanation:

We want to compare the pay for 1 hour's work.

The equation tells us that her pay for working 1 hour can be found from the equation using x=1.

  y = 22.2x

  y = 22.2×1 = 22.2 . . . . pay for 1 hour

Melanie earns $22.20 per hour.

We assume that Olivia's pay is proportional to hours worked, so pay for 40 hours will be 40 times 1 hour's pay.

  pay per hour = $1156/(40 h) = $28.90/h

Olivia earns $28.90 per hour.

The difference in their rates of pay is ...

  $28.90 -22.20 = $6.70

Melanie earns $6.70 less per hour than Olivia.

Answer: B

Step-by-step explanation:

Each time x increases by 1, y is multiplied by 5.

Using the conversion from the 24-hour system to the AM/PM system, the patient should take the medicine at 10 PM.

22 divided by 12 has remainder 10, hence 22 is equivalent to 10 PM.

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The area that the plane can fly and be in the zone known as the Bermuda is; 346952 mile²

The area rule states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle multiplied by the sine of the angle included by the two sides.

Now, from the question, we are give;

Side 1 = 900 miles

Side 2 = 930 miles

Angle between two sides = 56°.

Thus, by the area rule we have;

Area = (1/2) * 900 * 930 * sin 56°

Area = 346952 mile²

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Answer:

50.3cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

Plug in:

A = πr² → A = (3.142)(4)²

            → A = (3.142)(16)

            → A = 50.272

"1 decimal places",  round up to 50.3

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Answer:

so from my opinion Robert give them a Smack in their ases .

Hope this helps .

Good luck ✅.

Answer:

1 hour

Step-by-step explanation:

18 miles because if u go 18 miles per hour it takes a hour

Answer:

It does not.

Step-by-step explanation:

[tex]6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.[/tex]

[tex]\{-4\}[/tex] is our set of solutions. Answering your question, it does not.

Answer:

For this one the parallel slope is going to be 2/5

Step-by-step explanation:

The missing value of the ordered triple for questions 7,8,9 and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions  7,8,9, and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

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Here is the frequency table:
Class       Frequency

15 - 24       4

25 - 34        9

35 - 44       2

45 - 54        7

55 - 64         7

65 - 74          1

A frequency table is used to track the frequency of a data set. The data ranges from 15 to 68, if the classes are to be 6, then the class interval would have to be 9.

Class       Frequency

15 - 24       4

25 - 34        9

35 - 44       2

45 - 54        7

55 - 64         7

65 - 74          1

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The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.

Let X ~ Pois(λ)

Then we have:

E(X) = λ = Var(X)

Since standard deviation is the square root (positive) of variance,

Thus,

The standard deviation of X = [tex]\sqrt{\lambda}[/tex]

Its probability function is given by

[tex]f(k; λ) = Pr(X = k) = \dfrac{\lambda^{k}e^{-\lambda}}{k!}[/tex]

Given the mean is 4.2.

We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.

Using the Poisson distribution,

[tex]P(x) = \dfrac{e^{-\lambda}\lambda ^x}{x!}\\\\P(5) =\dfrac{e^{-4.2}(4.2)^5}{5!}\\\\P(5) = 0.1633[/tex]

Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

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Answer:

55.5

Step-by-step explanation:

answer is 55.491477012331599 which rounded to the nearest tenth is 55.5

when you said to the nearest tenth of degree i assume that meant like rounding to the nearest tenth

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

Herein we can find the value of the missing coordinate of point by the Pythagorean theorem, which is described below:

PQ = QR     (1)

[tex](Q_{x}-P_{x})^{2} + (Q_{y}-P_{y})^{2} = (R_{x}-Q_{x})^{2} + (R_{y}-Q_{y})^{2}[/tex]

If we know that P(x, y) = (- 2, 1), Q(x, y) = (1, 4) and R(x, y) = (4, k), then the missing value of the point R is:

[1 - (- 2)]² + (4 - 1)² = (4 - 1)² + (k - 4)²

(k - 4)² = 9

k - 4 = ± 3

k = 4 ± 3

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

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Dividing both sides by rt,

[tex]\boxed{P=\frac{I}{rt}}[/tex]

Answer:

It would be B.

Step-by-step explanation:

[tex]area = l \times w \\ but \: w = l - 2[/tex]

[tex]area = l(l - 2) = l {}^{2} - 2l[/tex]

[tex]l {}^{2} - 2l \geqslant 48 \\ l {}^{2} - 2l - 48 \geqslant 0 \\ (l + 6)(l - 8) \geqslant 0[/tex]

[tex]l {}^{2} - 2l \leqslant 80 \\ l {}^{2} - 2l - 80 \leqslant 0 \\ (l + 8)(l - 10) \leqslant 0[/tex]

Hello,

Answer:

1

Step-by-step explanation:

(5x)⁰ = 1

Rule : a⁰ = 1

Answer:

1

Step-by-step explanation:

(5x)^0

Any base raised to the zero power is 1

a^0 = 1

5^0 =1

(5x)^0 =1

Answer:

Step-by-step explanation:

A= 2AB+(a+b+c)h

AB= s (s﹣a) ( s﹣b) (s﹣c)

s = a+b+c

2

Solving for A

A= ah +bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=17·8+14·8+15·8+1

2·﹣174+2·(17·14)2+2·(17·15)2﹣144+2·(14·15)2﹣154≈ 567.35897

Answer:

134,784 people

Step-by-step explanation:

Hello!

Let's first find the number of people it can carry on 1 trip. We can do this by multiplying the number of people per coach, by the number of coaches.

The train carries 864 people per trip. We can find the number of people in 156 trips by multiplying 864 by 156.

The train, in full capacity, will carry 134,784 people in 156 trips.

Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

For the translations, we have that:

The functions that respect these conditions are:

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The probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077

Probability is the study of likeliness of an event to happen.

It is given that a bag of  candies that have

21 brown candies

15 orange candies,

10 yellow candies,

14 red candies,

5 green candies,

probabilities of drawing each candy =?

Total Candies = 21 +15+10+14+5 = 65

Probability = No. of chances / Total outcomes

Probability of drawing Brown candies = P(B) = 21 /65 =  0.323

Probability of drawing Yellow candies = P(Y)= 10/65= 0.154

Probability of drawing Orange candies = P(O) = 15/65=  0.231

Probability of drawing Red candies =P( R) = 14/65= 0.215

Probability of drawing Green candies = P(G) = 5/65= 0.077

Therefore the probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077.

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Answer:

x<3

Step-by-step explanation:

There isn't a question that I can see for the first image, and I cannot see the yellow part, so I am not 100% sure if this is an accurate answer to the question you were asking.

Answer:

proportional reasoning involved thinking about relationship and making comparisons of countries are values in the words of John went Diwali portion reasoning is difficulty find it is not something that you can or not to but is diploma over 3 reasoning