What is the domain and range

Answer:

- 1x] = 0

[x] =-15

We are given the following equation:

[tex]a^2+17=42[/tex]

Subtract both sides by 17

[tex]a^2=25[/tex]

Take the positive/negative square root of both sides

[tex]a=\pm5[/tex]

This should be your answer. Let me know if you have any questions, thanks!

Answer:

y = 0.20x

Step-by-step explanation:

Answer:

$275.40

Step-by-step explanation:

Add 444+523+410=1377

divide 1377 by 5 and u get 275.4

Answer: 28 <= h <= 32

Step-by-step explanation:

the actual height can be at most 2inches higher or lower than the average

Answer:

32

Step-by-step explanation:

13+3=16

16*2=32

Answer:

D. a vertical shift of 2 and a phase shift of pie/ 2

Step-by-step explanation:

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Answer:

-4.62962962963

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

1.5x = 12

Divide each side by 1.5

1.5x/1.5 = 12/1.5

x =8

x = 8

Step-by-step explanation:

[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]

Answer:

$38 for 2 sweaters

Step-by-step explanation:

Every price for all other sweater options are divisible by 24, since it is the unit price (meaning 1 sweater = $24). 38 is not divisible by 24, but by 19. This means it does not follow the unit price. It would be a special sale.

Answer:

yes

Step-by-step explanation:

One is a horizontal line, and the other is a vertical line.

Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.

Step-by-step explanation:

Answer:

.66

Step-by-step explanation:

1/2 + 1/3 - 1/2 - 1/3 = .66

Answer:

32 trips.

Step-by-step explanation:

It's a proportion question.

7/84 = x/384

84x = 7*384

84x = 2688

Divide both sides by 84 to isolate x.

x = 2688/84

x = 32

So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.

(I apologize if the answer is wrong!)

Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:

0.45 miles per minute

Step by Step Explanation:

Look at the units:  miles per hour is miles/hour

If we multiply

miles       hour         miles

-----   *     -------  =  ---------

hour       minute      minute

(27 miles/hour)(1/60 hours/minute) = 27/60

= 9/20 = 0.45 miles per minute

Answer:

b) 20, a) 14, c) 28, d)10

Step-by-step explanation:

b) 2a +3b ; a=7 and b=2

   2(7) + 3(2)

  14 +6

  20

a) ab

   (7)(2)

   14

c)2ab

  2(7)(2)

   14(2)

   28

d) (a-b)2

   2a-2b

   2(7)-2(2)

   14-4

   10

I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.

Answer:

(3×1)+(4/10) & two and fifty-one hundredths

Step-by-step explanation:

In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.

1. 3.4

[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]

2.2.51

two and fifty-one hundredths

Hope this helps.

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

Answer:

18/3=6

Step-by-step explanation:

3 can be made out of 18 6 times

Answer:

The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius.   Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total in account after 5 years:

Total in account after 5 years:

The difference in totals:

After 5 years Jack will have $0.66 more money in his account than David.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For David, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.

Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75

Hence, after 5 years, David will have $405.75 in his bank account.

For Jack, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.

Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.

Hence, after 5 years, Jack will have $406.41 in his bank account.

Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.

Learn more about compound interest here: brainly.com/question/25857212

#Tag #SPJ2

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

En este problema:

Diseño de 2 componentes:

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

The coordinates of the image point will be P''(7, 5).

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

To solve more questions on Graph translations, visit the link below -

brainly.com/question/12802031

#SPJ2

Answer:

0.00085

Hope this helps

Answer:

0.00085

Step-by-step explanation:

2/2348= 0.00085