Which represents the reflection of f(x) = x over the y-axis?
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Answer:

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Step-by-step explanation:

The bottle volume  must be  V(b) = 100 ml     or   V(b) = 100 cm³

The shape of the bottle is cylindrical

Surface area of bottle is

S = surface area of the base + lateral area

Area of the base = π*x ²         where x is radius of circle

Lateral area is  2*π*x*h           where h is the heigh of the bottle

V(b) = π* x²*h                             (1)        

π*x²  +  2*π*x*h  < 150 cm²  we work with the limit  150

π*x²  + 2*π*x*h  = 150

h   =  (150 - π*x²) /2*x*π

Plugging that value in equation (1)

V(x) = π*x² * (150 - π*x²) /2*x*π   ⇒    V(x) = 150*π*x²/2*x*π  - π²*x⁴/2*x*π

V(x) = 75*x - π*x³/2

Taking derivatives on both sides of the equation

V´(x) =  75  - 3*π*x²/2

V´(x) = 0           75 - 3*π*x² /2  = 0

x² = 75*2 /3*π       ⇒   x²  = 15,92      ⇒  x = 3,99 cm

And  h = ( 150 -π*x² )/2*π*x

h = ( 150 - 49,98 )/25,05

h  =  3,99 cm

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

Answer:

y=5x

Step-by-step explanation:

Answer:

The answer is 1/12

Step-by-step explanation:

the answer is 22 degrees

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

We have,

The area of a sector can be calculated using the formula:

Area = (θ/360) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.

The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.

Substituting the values into the formula:

Area = (122/360) * π * (18²)

Area = (0.3389) * 3.14159 * 324

Area ≈ 344.77 square inches

Area = 345 square inches

Therefore,

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

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Answer:

Writing it in matrix form

- 2 - 4 - 5 - 155

1 1 6 101

2 2 - 3 37

I hope this helps you

Answer:

y = (-x - 6)/2

Step-by-step explanation:

x + 2y = -6

2y = -x - 6

y = (-x - 6)/2

Answer:

to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Step-by-step explanation:

Let the mortgage investment be X

The Bond to be Y

and the CDs to be Z

Thus;

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 7180 × 100 ------ (3)

So;we now have:

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 718000 ------ (3)

Let ; replace X with Y+Z in equation (1) and (3)

Y+Z + Y+Z = 86000

2Y + 2Z = 86000

Divide both sides by 2

Y+Z = 43000      ------ (4)

From equation (3)

10X + 9Y + 6Z = 718000

10(Y+Z) + 9Y + 6Z = 718000

10Y +10Z + 9Y +6Z = 718000

19Y + 16Z = 718000    -----(5)

Y+Z = 43000      ------ (4)

19Y + 16Z = 718000    -----(5)

Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:

 -16 Y -16 Z = -688000

 19Y + 16Z =    718000          

 3Y  + 0     =    30000            

3Y = 30000

Y = 30000/3

Y = 10000

From (4);

Y+Z = 43000  

So; replace Y with 10000; we have:

10000 + Z = 43000

Z = 43000 - 10000

Z = 33000

From (1) ;

X+Y+Z = 86000

X + 10000  + 33000 = 86000

X + 43000 = 86000

X = 86000 - 43000

X = 43000

Since we assume the bond to be Y and Y = $10000;

Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Answer:

Fraction = 5/10 = 1/2

Decimal = 0.5

Step-by-step explanation:

Answer:

fraction-5/10 decimal-0.5

plz give brainiest

Step-by-step explanation:

Answer: kindly check Explanation.

Step-by-step explanation:

The function f(x) = 3x + 4 is a linear regression model. Orion's prediction was obtained by Substituting 25 for x to obtain the predicted variable

f(25) = 3(25) + 4 = 75 + 4 = 79.

However, with a correlation Coefficient of 0.39, which is a numerical value of range - 1 to +1 and is used to measure the statistical relationship between the dependent variable (number of gallons of ice-cream sold per day) and the independent variable (temperature).

The closer the correlation Coefficient (r) value is to +1 or - 1, the stronger the degree of correlation. Positive r values depicts positive relationship while negative r values depicts negative relationship. The closer the r value is to 0. The weaker the relationship and a r value of means there is no Relationship exists between the two variables.

With a correlation Coefficient of 0.39, we can Infer that that only a moderate positive relationship exists between temperature and gallons of ice cream sold per day.

Step-by-step explanation:

The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.

Answer:

Calculate the rise over the run/the change in y over the change in x

Step-by-step explanation:

In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).

Answer:

see below

Step-by-step explanation:

1.

1, H - 2, H - 3, H - 4, H - 5, H

1, T - 2, T - 3, T - 4, T - 5, T

2.

2,H is one out of 10 possible outcomes, so the probability is 1/10

Answer:

Hey!

Your answer would be 3,005.5!

Step-by-step explanation:

How did we get this?

Well to find the mean of a data set we...

ADD ALL THE VALUES UP and DIVIDE BY THE AMOUNT OF NUMBERS PRESENT...

So in this case...

WE DO: 3,004 + 3,007 = 6,011

NOW: DIVIDE BY 2...6,011 / 2

YOUR ANSWER IS 3005.5!

Hope this helps!

The mean for the data set given 3004, 3007 is,  3005.5

In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.

Generally, we use three terms for measurement of central tendency like, mean, median, mode.

In simple words, mean is an average of all the dataset.

formula;

Mean = Sum of all the dataset/Total number of dataset

Given data set,

3004 & 3007

Mean = X₁+X₂/2

Mean = (3004+3007)/2

Mean = 3005.5

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Answer:

  16

Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

  f(5) = 29

  g(5) = 13

Your desired function is ...

  f(5) -g(5) = 29 -13 = 16

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m

Answer:

f(10) =13

Step-by-step explanation:

f(x) =x/2+8,

Let x = 10

f(10) =10/2+8,

      = 5+8

       = 13

Answer: y=235x+15

Step-by-step explanation:

Plug in 4 for x

Y= 235(4)+15

Y= 955

Answer:

138 : 269

Step-by-step explanation:

Last year, the number of bicyclists that showed up was 1345.

This year, there were 690 bicyclists.

The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:

690 : 1345

Let us put it in simplest terms:

138 : 269

Answer:

x = 9 (first odd number)

x + 2 = 11 (second odd number)

Step-by-step explanation:

Let

x =first odd number

x + 2=second odd number

given:

1/x - 1/(x + 2) = 2/99

Find the LCM

(x+2)-x / x(x+2)=2/99

x+2-x / x(x+2)=2/99

common denominator x( x + 2)

2 / x(x + 2) = 2/99

Take the reciprocal of both sides

1/2x(x + 2) = 99/2

multiply both by 2

x(x +2) = 99

Expand the left side

x^2 + 2x = 99

add 1 to both sides

x^2 + 2x + 1 = 100

express the left side as a square

(x + 1)^2 = 100

Square root of both sides

x + 1 = 10 or x + 1 = -10

taking the positive root only

x = 9 (first odd number)

x + 2 = 11 (second odd number)

check:

1/9 - 1/11 = 2/99

11/99 - 9/99 = 2/99

2/99 = 2/99

Answer:

m < S = 55°

Step-by-step explanation:

Based on tangent theorem, a tangent line is said to be perpendicular to a radius of a circle when they intercept. The point at which they meet is said to be at 90°.

Therefore, in the ∆PQS, given, m < P = 90°.

m < Q = 35°

m < S = 180° - (90° + 35°) (sum of the angles in a triangle)

m < S = 180° - 125°

m < S = 55°

Answer:

Counterexample: 21 which is divisible by 3 but not by 6.

Step-by-step explanation:

Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.

You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.

Answer:

Slope of Anya's line is m = 3

Step-by-step explanation:

Explanation:-

Given Anya graphed the line

                              (y−2)=3(x−1)

we know that  slope intercept form is

                                y = mx +c

now given Anya line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

Comparing slope -intercept form

                        y = mx +c

slope of Anya's line is m = 3 and y-intercept C = -1

Answer:

M=3

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

Answer:

D

Step-by-step explanation:

Assuming the figure to be a parallelogram, then

The consecutive angles are supplementary, that is

∠ D + ∠ C = 180°

145° + ∠ C = 180° ( subtract 145° from both sides )

∠ C = 35° → D

Step-by-step explanation:

last years was $2500.00

20% of $2500 = $500.00

profit this year is $3000.00

Answer:

D

Step-by-step explanation:

Answer:

you can pick any of them

Step-by-step explanation:

Answer: Any are right

Step-by-step explanation:

Answer:

A) 3,276 ways.

Step-by-step explanation:

In this case, choosing February 1, February 12, and February 20 would be the same thing as choosing February 12, February 1, and February 20. So, since order does not matter, we will use a combination to solve the question.

The formula for combinations is...

n! / [r!(n - r)!], where n = the number of days in February (28) and r = the number of days you are choosing (3).

28! / [3! * (28 - 3)!]

= 28! / (6 * 25!)

= (28 * 27 * 26) / 6

= (14 * 9 * 26) / 1

= 14 * 9 * 26

= 126 * 26

= A) 3,276.

Hope this helps!

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added