Which relations are functions?

Answer:

Step-by-step explanation:

3n + 7

n = 3

Substitute the value of n into the expression

That's

3(3) + 7

= 9 + 7

Hope this helps you

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex]3n+7[/tex]

The value of [tex]n[/tex] is given 3.

Plug [tex]n[/tex] as 3.

[tex]3(3)+7[/tex]

Evaluate.

[tex]9+7[/tex]

[tex]=16[/tex]

Answer:

Point A'(-1,5)     ........ corrected A' instead of A

Point B'(3,-3)

Step-by-step explanation:

The current function has vertex (2,-4), and passes through (6,0).

Using the standard formula

y = a(x-h)^2+k

we have

h = 2, k=-4

parabola passes through (6,0) =>

0 = a(6-2)^2 -4 = 16a -4

a = 1/4

so equation of given curve is

f(x) = (1/4)(x-2)^2-4

If the curve is compressed horizontally by a factor of 2, then the image is

g(x) = (1/4)(2(x-2))^2-4

=(x-2)^2 -4

Given A(-4,5), B(4,-3)

f(-4) = 5  

f(4) = -4

With a compression factor of 2, coordinates of y do not change.

for point A'

5 = (x-2)^2 -4

5 = (x-2)^2 -4

(x-2)^2 = 9

(x-2) = +/- 3

x-2 = -3, x = -1  (to the left of vertex, ok)

x-2 = +3, x = 5 (to the right of vertex, alternate point x)

Point A'(-1,5)     ........ corrected A' instead of A

For point B'

y = -3

-3 = (x-2)^2-4

(x-2)^2 =1

x-2 = +/- 1

x-2 = +1, x=3 (to the right of vertex, point required)

x-2 = -1, x= 1 (to the left of vertex, alternate point Y)

Point B'(3,-3)

Answer: 1/35

Step-by-step explanation:

1/5 = 0.2

0.2/7= 1/35

Answer:

Step by step explanation

[tex] \frac{1}{5} \div 7[/tex]

Dividing is equivalent to multiplying with the reciprocal:

[tex] \frac{1}{5} \times \frac{1}{7} [/tex]

Multiply the fraction

[tex] \frac{1 \times 1}{5 \times 7} [/tex]

[tex] = \frac{1}{35} [/tex]

Hope this helps...

Good luck on your assignment.

Answer:

To the RIGHT

Step-by-step explanation:

The parabola will open right if the y^2 is positive and will open left if the y^2 is negative.

Answer:

Cube

Step-by-step explanation:

A cube is a 3-D shape that consists of 6 squares. A cube is the correct following shape that must have a square base or a square bottom since all of it's sides are the shape of a square.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Step-by-step explanation:

The cube is the only one there that must have a square base.

The rectangular prism might have a square base, but most likely it does not. T

The pyramid can have a square base like the ones in Egypt but it can also have a triangular base.

A cone has a circular base.

Answer:

Hey!

69/8 as a mixed number is...

8 5/8!

To get this answer, simply divide 69 by 8, then subtract the WHOLE NUMBER from 69 and then the left over number is the numerator over 8

Hope this helps!

Answer:

8 5/8

Step-by-step explanation:

Answer:

Numbers 1,0,8,2 would lie on y-axis.

Step-by-step explanation:

This is because for example, (0,1)

we must prefer 0 as x-axis and 1 as y-axis. That's means left number or side will always be x-axis and right side will always be y-axis.

Answer: (0, 1)

Step-by-step explanation:

When the x is 0 is lies on the y axis.

Answer:

307 members

Step-by-step explanation:

Relative growth rate= Growth rate/population

Given: constant relative growth rate=0.7233

0.7233=[tex]\frac{dP/dt}{P}[/tex]

[tex]\frac{dP}{dt} =0.7233 P[/tex]

Theorem 2 states that solutions of the differential equation dy/dt = ky are in the form:    y(t)=y(0)[tex]e^k^t[/tex]

Writing the soltuion of our dif. equation as:

P(t)=P(0)[tex]e^{0.7233t}[/tex]

since on day zero the population consists of four members.

P(t)=4[tex]e^{0.7233t}[/tex]

next is to find the population size after six days. i.e t=6

P(6)=4[tex]e^{0.7233\times 6}[/tex] ≈ 307 members

Answer:

175,760,000 possible standard plates

Step-by-step explanation:

For digits, there are 10 possible values (0 to 9)

For letters, there are 26 possible alphabet (a - z)

Assuming the letter case is irrelevant.

Given that the license plate consists of;

2 digits, followed by 3 letters, followed by 2 digits

N1 = 2 digits = 10 × 10

N2 = 3 letters = 26× 26 × 26

N3 = 2 digits = 10×10

In the absence of any other conditions, the number of possible plates in this system is;

N = the product of N1, N2 and N3 above.

N = N1 × N2 × N3

N = 10×10×26×26×26×10×10

N = 175,760,000 possible standard plates

Answer:

y = -(x-3)² -4

Step-by-step explanation:

Answer:

[tex]\chi^2 = \sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}[/tex]

The expected values for all the categories is :

[tex] E_i =\frac{150}{3}=50[/tex]

And then the statistic would be given by:

[tex]\chi^2 = \frac{(40-50)^2}{50}+\frac{(60-50)^2}{50}+\frac{(50-50)^2}{50}=4[/tex]

And the best option would be:

b. 4

Step-by-step explanation:

For this problem we have the following observed values:

Yes 40 No 60 No Opinion 50

And we want to test the following hypothesis:

Null hypothesis: All the opinions are uniformly distributed

Alternative hypothesis: Not All the opinions are uniformly distributed

And for this case the statistic would be given by:

[tex]\chi^2 = \sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}[/tex]

The expected values for all the categories is :

[tex] E_i =\frac{150}{3}=50[/tex]

And then the statistic would be given by:

[tex]\chi^2 = \frac{(40-50)^2}{50}+\frac{(60-50)^2}{50}+\frac{(50-50)^2}{50}=4[/tex]

And the best option would be:

b. 4

Answer: 420 words

Step-by-step explanation:

First find how much he did the first day by doing 1/5*2400=480.

Then find out how much he did the second day by doing 2400-480=1920, then doing 1920*(2/3)=1280.

Then, because he did 220 words the third day, simply do 2400-480-1280-220=420.

Hope it helps <3

Ans420 words per min

Step-by-step explanation:

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

Answer:

y = 4x - 9

Step-by-step explanation:

Use the formula:

y = mx + b

Where m is the slope, b is the y-intercept.

The slope is 4.

y = 4x + b

The y-intercept is -9 because it passes through (0, -9).

y = 4x - 9

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

X = 30 degrees.

See the attached image

Answer:

10% interest.

Step-by-step explanation:

Interest I = PRT/100

If the rate R = x% we have

550 = P*x *1 / 100

and

770 = P*(x + 4) * 1 / 100

so From  first equation

Px = 55000  and from the second

Px + 4P =  77000

So Px = 77000 - 4P

Therefore  77000 - 4P = 55000

4P = 22000

P = 5,500

So x = 55000/5500 = 10%.

And  the rate for the other fund is 10 + 4 = 14%.

Answer:

B

Step-by-step explanation:

To find a perpindicular line, you want to find the reciprical slope, and have a point.

We already have the point which is (3,9)

All we have to do is find the new slope what is easy, get the orginal slope,

flip the sides and polarity of it. So from the slope -3/2, you get 2/3.

Now you just plug all the new values into slope point formula.

y - y1 = m(x - x1).

You do simple algebra and get B as your answer

Answer:

3rd Matrix

Step-by-step explanation:

When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.

Answer:

First Matrix

Step-by-step explanation:

Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.

Answer:

26.36

Step-by-step explanation:

Hundredths are the second decimal place from the decimal. You would round up to 26.36 because the number before that is up to 5. If it was below 5 you would round down to 26.35.

Answer:

A.) NM= x

C.) LM = x√2

E.) tan (45°) = 1

Step-by-step explanation:

If the legs are both x, then the hypotenuse is equal to [tex]x\sqrt{2[/tex]

Therefore, LM= [tex]x\sqrt{2[/tex] is correct and MN= x

Disclaimer: The sum is done according to the picture attached as the question given is wrong.

The true statements regarding the given isosceles right triangle ΔLMN are:

An isosceles triangle is a triangle where two sides and their corresponding angles are equal.

A right triangle is a triangle with one angle = 90°.

An isosceles right triangle is a right-angled triangle with two legs including the right angle are equal. Their corresponding angles are equal and each of them = 45°. So, the three angles of an isosceles right triangle are 45°, 45°, and 90°, always.

In the figure, we can see that we have a ΔLMN, with ∠L = 45°, ∠M = 45°, and ∠N = 90°. Also, we can see that LN = x.

The given angles of ΔLMN determine that it is an isosceles right triangle with a right angle at N.

Since, the two legs involving the right angle, that is N, are equal, we can say that, NM = LN = x.

The hypotenuse of the ΔLMN, that is the side opposite to ∠N, that is LM, can be found using the Pythagoras theorem, by which in a right-angled triangle,

Hypotenuse² = Base² + Perpendicular².

∴ LM² = LN² + NM² = x² + x² = 2x².

or, LM = √(2x²) = x√2.

The tangent of an angle ∅, that is, tan ∅ is computed using the formula,

tan ∅ = Perpendicular/Base.

To calculate tan 45°, that is, tangent to ∠L, we take Perpendicular = NM and Base = LN.

∴ tan 45° = NM/LN = x/x = 1.

Now, we check all the given options:

∴ The true statements regarding the given isosceles right triangle ΔLMN are:

Learn more about isosceles right triangle at

https://brainly.com/question/691225

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Answer:$9237.02

Step-by-step explanation:

A = p(1+r/n)^nt

A = 7400 (1 + 0.057)^4

A = 7400(1.057)^4

A = 9237.02

Do not add the .02 at the end of this answer

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

[tex]D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136[/tex]

Total outcomes:

6 people from a set of 16.

[tex]T = \frac{16!}{6!10!} = 8008[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{3136}{8008} = 0.3916[/tex]

39.16% probability of selecting three Democrats and three Republicans

Answer:

  the equations are dependent; both describe the line y = 2x -6

Step-by-step explanation:

Remove the common factor of 5 from the first equation and you have ...

  2x -6 = y

Subtract 6 from the second equation and you have ...

  2x -6 = y

The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.

Answer:

15000000ft-Ib

Step-by-step explanation:

We were told to Show how to approximate the required work by a Riemann sum which is a certain kind of approximation of an integral by a finite sum.

. So we will need to divide the cable into 6 segments,

✓let us denote x as the distance between the top of the mine shaft and the segment.

✓Let us denote ∆x as the length of the segment

Then work done on a segment, work done on the coal and total work done can now be calculated.

CHECK THE ATTACHMENT FOR THE DETAILED EXPLANATION

Suppose that the weight of a cable is [tex]6 \ \frac{lb}{ft}[/tex] and used to lift [tex]700\ lb[/tex] of coal up a mining shaft [tex]600\ ft[/tex] deep.

[tex]\to W_{ca} = \lim_{n\to \infty} \Sigma^{n}_{i=1} 6x_i^{*} \Delta x \\\\[/tex]

           [tex]=\int^{600}_{0} 6x \ dx\\\\= [6x^2]^{600}_{0} \\\\= 3 (360000)\\\\ = 1080000\ ft-lb\\\\[/tex]

Thus,  the work done again for cable is [tex]W_{ca} = 1080000 \ ft-lb[/tex].  

If the cable weighs 700 lbs and the distance is 600 feet, As a result, the effort expended in raising the coal to the top of the mineshaft is referred to as

[tex]\to W_{co} = 700 \times 600 = 420,000 \ ft-lb[/tex]

As a result, the total amount of work completed is as follows:

[tex]\to W =W_{ca}+W_{co} \\\\[/tex]

         [tex]= 1080000+ 420000 \\\\= 1500000 \ ft-lb \\\\[/tex]

Hence, the total work done is [tex]\bold{W = 1500000\ ft- lb}[/tex].

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Answer:

  x = 4√5

Step-by-step explanation:

The triangles are all similar, so corresponding lengths are proportional.

  hypotenuse/short side = x/5 = (11+5)/x

  x^2 = 80 . . . . cross multiply

  x = 4√5 ≈ 8.94427

Answer: 0.58

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.

So we can think of 58% as the ratio 58 to 100 or 58/100.

Dividing by 100 moves the decimal point 2 places to the left so 58/100 would move the decimal point 2 places to the left which would give us .58 or 0.58. So 58% can be written as the decimal 0.58.

Answer:

45

Step-by-step explanation:

We are using sigma notation to solve for a sum of arithmetic sequences:

The 5 stands for stop at i = 5 (inclusive)

The i = 1 stands for start at i = 1

The 3i stands for expression of each term in the sum

Answer:

11 m and 14 m

Step-by-step explanation:

Legs: x and y

---

1/2xy= 77  ⇒ xy= 154

√x²+y²= √317 ⇒ x²+y²=317

x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25

x= 25-y

xy=154 ⇒  y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14

x= 25-y= 14 and 11

Answer:

t = d/s

t = 6.4 / 2 miles

t = 3.2 miles

Step-by-step explanation:

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