Identifying the Graph of a
Function
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Which graph represents the function h(x) = |x - 3|?

Answer:

0.0000045

[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]

When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.

Answer:

[tex]0.0000045[/tex]

Step-by-step explanation:

Rewrite it as a fraction:

[tex] \frac{0.45}{ {10}^{5} } [/tex]

Calculate it:

[tex] \frac{0.45}{100000} [/tex]

Rewrite the fraction:

[tex] \frac{45}{10000000} [/tex]

Simply:

[tex] \frac{9}{2000000} [/tex]

Turn it into a decimal:

[tex]0.0000045[/tex]

Answer:

972TT

Step-by-step explanation:

formula for volume of a sphere is

4/3TTr3

input the radius r as 9

4/3TT9 3

4/3TT729

4TT243

972TT

Answer

60%

Step-by-step explanation:

Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%

Answer:

1. False

2. True

3. False (Not sure about this one)

4. True

5. False

Dilation centred at origin

So new coordinates are same like previous

Now scale factor is 3

So P':-

Option D

Answer:

D)   (−6, −12)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.

Given:

Therefore:

⇒ P' = (-2 × 3, -4 × 3)

⇒ P' = (-6, -12)

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.

P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4

P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

Let x = 0.263263263…

Then 1000x = 263.263263263…

Subtracting x gives

1000x - x = 263.263263263… - 0.263263263…

999x = 263

x = 263/999

Answer:

501

Step-by-step explanation:

Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501

Answer:

See below ~

Step-by-step explanation:

A lies between 665 and 670.

Let's answer the questions asked.

A rounded to the nearest ten

A rounded to the nearest hundred

Answer:

try 660

Step-by-step explanation:

because get to think it already says 670 and 680 so i believe the answer is 660

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]

Hence standard deviation is 2.738

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Answer:

a = 16    b = 4    c = 8     d = 16

e = 12    f = 36   g = 64

Step-by-step explanation:

a.

Equation =   [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]

b.

Equation:      [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]

c.

Equation:      [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]

d.

Equation:      [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]

e.

Equation:      [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]

f.

Equation:      [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]

g.

Equation:      [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]

The missing values for the function are

a= 4

b=4

c=8

d=16

e=12

f= 36

g=64

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

We have the table for three function.

Now, to find the following we have find the rate of change.

Function 1 : y= 4x

At x = 2 ; y= 8

At x= 3; y= 12

Function 2: y= 4x²

At x =1 ; y= 4

At x= 3; y= 36

Function 3 : y= [tex]4^x[/tex]

At x =1 ; y= 4

At x = 2 ; y= 16

At x= 3; y= 64

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The Probability of a chain defect will be 3%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let B  be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

P ( B U C )  =  P(A) + P (B) - P ( B [tex]\cap[/tex] C)

6   =   4   +  P (C)  - 1

P (C) = 3

Hence, Probability of a chain defect is 3%.

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Answer:

767

Step-by-step explanation:

Answer:

b = 5 ± √5 / 5

Step-by-step explanation:

Given :

Subtract 10b from both sides :

Splitting the middle term :

Answer:

D

Step-by-step explanation:

Given :

Solving :

Hence :

Answer:

D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Answer:

is this the answer

Step-by-step explanation:

I (-121)+...=11

=(-121)+132

=11

II -81/27

=-3

Answer:

x=1.531128874 or x=-6.531128874

Step-by-step explanation:

Answer:

a. 0.444444

b. 0.87

Step-by-step explanation:

a. (-2).(-4.5)

= -2 / -4.5

= 0.44444

u will do the same to the second question

Answer:

  30,300 seconds

Step-by-step explanation:

There are 60 minutes in each hour, and 60 seconds in each minute. The total time is found by multiplying by the appropriate conversion factor.

__

The 8 hours each have 60 minutes, so the total number of minutes in 8 hours is ...

  (8 h) × (60 min/h) = 480 min

The total number of minutes is 25 more than the number of minutes in the hours:

  480 min + 25 min = 505 min

These each have 60 seconds, so the total number of seconds is ...

  (505 min) × (60 s/min) = 30300 s

The game lasted 30,300 seconds.

Answer:

6.62cm

Step-by-step explanation:

tan = opp/adj

opp = adj(tan)

opp = 13(tan(27))

opp = 6.62cm

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for x and y ~

Since the given triangle is a right angled triangle, we can use Trigonometric ratios here to get the required values

[tex]\qquad \sf  \dashrightarrow \: \tan(45 \degree) = \dfrac{y}{2 \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1= \dfrac{y}{2 \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 2 \sqrt{2} \: \: units[/tex]

Now, let's get to x ~

[tex]\qquad \sf  \dashrightarrow \: \sin(45 \degree) = \dfrac{y}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{2 \sqrt{2} }{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 2 \sqrt{2}{} \times \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 2 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4 \: \: units[/tex]

I hope you understood the whole procedure ~

Answer:

10 min = 1/6 hour

Now we make Andrew's average speed v mph so Katherine's average speed is (v-2) mph

a. 8/v - 5/v-2 = 1/6  [distance = speed x time]

b. 8/v - 5/v-2 = 1/6 , v > 2

   8/v - 5/v-2 = 1/6 = 0

48(v-2) -30v-v-(v-2)/6v(v-2) = 0 [transform the expression]

20v-96-v^2/6v(v-2) = 0

20v-96-v^2 = 0

(v-8)(v-12) = 0

{v1=8}

{v2=12}

Step-by-step explanation:

Answer:

Option 3 and 4 are the most reasonable answers

Step-by-step explanation:

Answer:

85.2

Step-by-step explanation:

Pictures below show my steps

so then just do 39.6+45.6

Answer:

See below

Step-by-step explanation:

66 out of (84+66)   = 66/150 = 11/25 experimental chance of heads

   this is 6%  LOWER than the theoretical chance of getting heads (which is 1/2).