(04.01 LC)
Which of the tables represents a function?
Table A

Input: 4, 5, 4,
Output: 2,9,7,

Table B

Input: 9,9,7,
Output: 2,3,5,

Table C

Input: 4,6,2,
Output: 3,5,7,

Table D

Input: 8,6,8,
Output: 7,5,5,

A) Table A
B) Table B
C) Table C
D) Table D

Answer:

722 √(3) square units

Step-by-step explanation:

Mathematically, the area of a triangle is 1/2 * b * h

But in this question, we have the base which is a while the height is absent

We can use trigonometric ratios since we are given the angle to find the value of the height.

Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent

Mathematically;

Tan 60 = h/a

where h represents the height which we want to calculate

h = a tan 60

But tan 60 = √(3)

So h = a √(3)

Now the area of the triangle will be;

A = 1/2 * a * a √(3)

But a has a value of 38 units.

Substituting this value, we have ;

A = 1/2 * 38 * 38 √(3)

A = 19 * 38√(3)

A = 722 √(3) square units

Answer:

  2

Step-by-step explanation:

Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.

Step-by-step explanation:

Notice how you get the same value each time when you divide the cost by the number of downhill rides

Moreover when the downhill rides grow by 2 the total cost grows by 5

so we can state :

To complet the chart we can use the proportionaliyu relation:

so 20 goes with 50

same method:

so 25 goes with 62.5

Explanation:

The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:

  ∆BCA ≅ ∆ECD

BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

and the answer should be 18 x 27. The answers were reversed.

Step-by-step explanation:

basically you can do (6x4) + 3 = 27

and (4x4) + 2 = 18.

A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.

A ratio shows us the number of times a number contains another number.

Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,

1/4" = 1'

1" = 4'

Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,

634" = 634 × 4' = 2536'

412" = 412× 4' = 1648'

Hence, the real size of the bedroom is 2536' by 1648'.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Answer:

[tex]\frac{10}{99}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{10}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating decimal after the decimal point.

let x = 0.10101.... → (1)

Multiply both sides by 100

100x = 10.10101.... → (2)

Subtracting (1) from (2) eliminates the repeating decimal, thus

99x = 10 ( divide both sides by 99 )

x = [tex]\frac{10}{99}[/tex]

Answer:

D

Step-by-step explanation:

The range is the values of y the graph covers

The minimum value of y is - 9 and the maximum value is 5, thus

- 9 ≤ y ≤ 5 is the range → D

Answer:

[tex]\boxed{-9\leq y\leq 5}[/tex]

Step-by-step explanation:

The range is the set of possible y values, which are shown on the y-axis.

The minimum value of y on the graph is -9.

The maximum value of y on the graph is 5.

The set of possible output values (y) are equal to or greater than -9 and less than or equal to 5.

Answer:

C. all whole numbers

Step-by-step explanation:

Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.

Hence, the annual income can only be whole numbers

Answer:

c

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

0.1  pound for one batch of cookies

3.75 pound for  x  batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

Answer:

S 67.50° W

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

To solve the equation, we need to let u = x²

A quadratic equation is an algebraic expression that takes the power of the second degree.

From the given parameter:

For us to be able to solve the given equation, we need to reduce the equation to a quadratic form.

This can be achieved by making an assumption that:

So, we will replace x² with u in the given equation.

By doing so, we have:

Learn more about quadratic equations here:

https://brainly.com/question/1214333

Answer: Solve x4 – 17x2 + 16 = 0.Let u = xX 17x²✔ x²X -17x².

let u = x^2

Step-by-step explanation: just did it

Answer:

Number of flowers planted planted by Charlie per day = 72

Step-by-step explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]

As per condition given:

[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]

Solving the above equation by taking LCM:

[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]

So, answer is:

Number of flowers planted planted by Charlie per day = 72

Answer:

664

Step-by-step explanation:

651 - - 13

Negative times negative is positive.

651 + 13

Add.

664

Answer:

664

Step-by-step explanation:

651 - (-13)

Do the keep , change , change method

So , it will be :

651 + 13 = 664

Hope this helps and plsss plss amrl as brianliest and THNXX :)

Answer:

Step-by-step explanation:

To find the slope first write the equation in the form

y = mx + c

where m is the slope

c is the y intercept

3x - 3y = -45

3y = 3x + 45

Divide both sides by 3

y = 3/3x + 45/3

y = x + 15

From the equation the slope = 1

Parallel lines have equal slope

So

The line parallel to the above line is also

1

Hope this helps you

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

You added no fraction so i thought you wanted the definition

Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Hope this helped you. Brainliest wouldbe nice!

Hey there! :)

Answer:

Measure of ∠8 is 130°.

Step-by-step explanation:

We can solve for ∠8 in multiple steps:

∠1 = 50°

∠5 = 50° due to corresponding angles being equivalent

180° - m∠5 = m∠8 due to supplementary angles

180° - 50° = m∠8 = 130°

Therefore, the measure of ∠8 is 130°.

Answer: The measure of angle 8 is 130 degrees.

Step-by-step explanation:

Angle 8 and angle 4 has the same measures.  The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and  8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.

Use the equation

50 + x =180  solve for x

-50       -50

x = 130

This means angle 8 is 130 degrees .

Greetings from Brasil...

If we have a translation for left/right, we have to use the expression:

F(X ± C)

if F(X + C), so the function shifted C units to the left

if F(X - C), so the function shifted C units to the right

Bringing to our problem

G(X) = F(X + C)

F(X) = 2X - 1

G(X) = F(X + 7) = 2.(X + 7) - 1

G(X) = F(X + 7) = 2X + 14 - 1

G(X) = F(X + 7) = 2X + 13

Answer:

P(AB) = 837/9100

Step-by-step explanation:

The given parameters are;

The number of marbles in the bag = 100 marbles

The number of red marbles = 27

The number of green marbles = 42

The number of blue marbles = 100 - 27 - 42 =  31

The probability, A of drawing a blue marble = 31/100

The probability,B of drawing a red marble after a blue marble has been taken without replacement = 27/91

The probability P(AB) = 31/100× 27/91 = 837/9100

The probability that Eric randomly draws two marbles without replacing the first one where the first one is a blue marble and the second marble is a red marble is 837/9100.

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

Company's final asset value =   $21,794,600

Step two

we can calculate the company's asset appreciation after 10 years as

$21,794,600- $11,283,500= $10,511,100

Step three

Hence, the growth rate of the company's asset value per  year can be expressed as =  $10,511,100/10= $1,051,110

Answer:

You havent showed us the pattern

Answer:

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

Answer:

Step-by-step explanation:

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

l - length

w - width

We have

[tex]P=35.8in\\l=12.6in[/tex]

Substitute:

[tex]35.8=2(12.6+w)[/tex]       divide both sides by 2

[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]

[tex]17.9=12.6+w[/tex]       subtract 12.6 from both sides

[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]

Answer:

Option (4) and Option (5)

Step-by-step explanation:

By calculating the second difference, if the second difference in a table is equal, table will represent the quadratic relationship.

In the given option, we analyze that table given in Option (4) will represent the quadratic relationship.

x             y             Ist difference [tex](y_2-y_1)[/tex]         IInd difference

0            4                      -                                             -

1            -4             -4 - (4) = -8                                     -    

2           -4             -4 - (-4) = 0                              0 - (-8) = 8

3            4              4 - (-4) = 8                                  8 - 0 = 8

Second difference of the terms in y are the same as 8.

Therefore, table of Option (4) represents the quadratic relationship.

Similarly, in Option (5) we will calculate the second difference of y terms.

x            y            Ist difference     IInd difference

0          -4                    -                            -

1           -8             -8 - (-4) = -4                 -

2          -10           -10 - (-8) = -2        -2 - (-4) = 2      

3          -10           -10 - (-10) = 0        0 - (-2) = 2

Here the second difference is same as 2.

Therefore, table of Option (5) will represent the quadratic relationship.

Answer:

Option 5 is wrong

Step-by-step explanation:

Hi king,

Let's split it into two prisms.

[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]

[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]

The prism in the picture:

[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]

Have a good day.

X axis is the horizontal axis and y is the vertical.

On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.

Quadrant 2 is upper left, which is negative x and positive y.

Quandrant 3 is lower left, which is negative x and y.

Quadrant 4 is lower right, which is positive x and negative y.

X< 0 is negative and y > 0 is positive.

This matches quadrant 2

The answer is B.

Answer: A) 1/2

Step-by-step explanation:

Answer:

If you flip a coin three times in the air, what is the probability that tails lands up all three times?

Step-by-step explanation:

1/2