Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW

Answer:

m<WYZ = 23°

m<ACB = 87°

Step-by-step explanation:

Problem 1: Find WYZ

Given,

m<WVX = (3x - 7)°

m<VYZ = (16x - 3)°

∆WYZ ~ ∆WVX, therefore:

m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)

m<WYZ = (3x - 7)° (substitution)

Create an equation to find the value of x.

m<WYZ + m<VYZ = 180° (linear pair)

(3x -7)° + (16x - 3)° = 180° (substitution)

Solve for x

3x - 7 + 16x - 3 = 180

Add like terms

19x - 10 = 180

Add 10 to both sides

19x - 10 + 10 = 180 + 10

19x = 190

Divide both sides by 19

19x/19 = 190/19

x = 10

m<WYZ = (3x - 7)

Substitute x = 10

m<WYZ = 3(10) - 7 = 30 - 7

m<WYZ = 23°

Problem 2: Find m<ACB

Given,

m<A = 62°

m<AED = (11x - 2)°

m<B = (6x + 13)°

∆ADE ~ ∆ACB, therefore:

m<AED = m<B (corresponding angles of similar ∆s are congruent)

(11x - 2)° = (6x + 13)°

Solve for x

11x - 2 = 6x + 13

Collect like terms

11x - 6x = 2 + 13

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

m<ACB + m<B + m<A = 180° (sum of ∆)

m<ACB + (6x + 13) + 62° = 180° (substitution)

Plug in the value of x and solve

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (18 + 13) + 62° = 180°

m<ACB + 31° + 62° = 180°

m<ACB + 93° = 180°

Subtract 93 from both sides

m<ACB = 180° - 93°

m<ACB = 87°

Answer:

[tex]m=-\frac{4}{3}[/tex]

Step-by-step explanation:

Formula

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Solve

[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

A=(-5, -6) = (x1 , y1)

B= (-14, 10)= (x2 , y2)

slope= y2 - y1/ x2- x1

=10+6/ -14+5

= 16/ -9

= 4 / -3

Answer:

girls 4/9 or (Decimal: 0.444444) percent is 44.4%

boys 5/9 or (Decimal: 0.555556) percent is 55.5%

Step-by-step explanation:

toke a while to finish it, but there you go

cheers and have a good night :D

Answer:

35-2(6)

= 23

Prime number

Step-by-step explanation:

Answer:

23 . It is a prime number.

Step-by-step explanation:

[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]

Simplify

[tex]23[/tex]

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

Answer:

31

Step-by-step explanation:

To solve this problem, we must find the lowest common multiple of 21, 35 and 63

   Find the prime factors of the number;

 Prime factors of 21  = 3 x 7

                            35 = 3 x 5

                            63 = 3 x 3 x 7

  The lcm = 3 x 3 x 5 x 7 = 315

The numbers between  1 and 10, 000 divided by these three numbers;

   First number  = 315

    Last number  = 9765

Now the total number:

      = [tex]\frac{first number - last number }{315} + 1[/tex]

      = [tex]\frac{9765 - 315}{315}[/tex] + 1

     = 30 + 1

     = 31

Answer:

dud

Step-by-step explanation:

fjfn

kgoipyx

vbjjkkkkkkjjjjhcblxkcjl

Answer:

MO is 13 units

Step-by-step explanation:

If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment

∵ Point N ∈ segment MO

→ That means point N divide segments MO to two parts MN and NO

∴ Point N divides segment MO into two parts MN and NO

→ That mans the length of segment MO equals to the sum of

   lengths of MN and NO

∴ MO = MN + NO

∵ MN = 8 units

∵ NO = 5 units

∴ MO = 8 + 5

∴ MO = 13 units

Answer:

yes it is parallel because the alternate interior angles are equal

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

Answer:

y = -[tex]3^{2}[/tex] + 7x - 2

Step-by-step explanation:

-9-2= -11

y = -11 +7x

+11

y+11 = 7x

/7

1.57142857143= x

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer: subtraction property of equality

Step-by-step explanation:

Answer:

36 feet.

Step-by-step explanation:

2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

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Answer:

5 miles

Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5

Answer:

This is a population

a) Female

Mean : 2.432857143kg

Variance: 0.05162040817kg

Standard deviation: 0.2272012504kg

b) Male

Mean : 2.641428571kg

Variance : 0.03432653062kg

Standard deviation: 0.1852742039kg

Step-by-step explanation:

a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.

a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32

Mean

The formula = Sum of term/ Number of terms

Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7

17.03/7

= 2.432857143kg

Variance

This is a population

Hence: The formula for Population variance =

= (X - Mean)²/N

Where N = Number of terms = 7

= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7

= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7

= 0.3613428572/7

= 0.05162040817kg

Standard Deviation

Formula = √Variance

= √0.05162040817

= 0.2272012504kg

b. Determine the mean, variance, and standard deviation for the male weights

Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Mean

The formula = Sum of term/ Number of terms

= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7

= 18.49/7

= 2.641428571 kg

Variance

= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7

= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7

= 0.2402857143/7

= 0.03432653062kg

Standard Deviation

= √Variance

= √0.03432653062

= 0.1852742039kg

Answer:

8.2/10

Step-by-step explanation:

Answer:

42/50

Step-by-step explanation:

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

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Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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Answer:-132

Step-by-step explanation:

Answer:

153.158 ; 177.642

Step-by-step explanation:

Given the following:

Sample mean (m) = 165.40

Sample standard deviation (s) = 21.70

Sample size (n) = 17

α = 98%

Confidence interval = m ± z(SE)

z at 98% = 2.326

SE = s/√n

SE = 21.70/√17 = 5.2630230

Hence,

Confidence interval = 165.40 ± 2.326(5.2630230)

165.40 - 12.241791498 OR 165.40 + 12.241791498

153.158 ; 177.642

Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer:

A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] n = 14 [/tex]

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

[tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

Solve for n.

[tex] 4n + 22 + 8n - 10 = 180 [/tex]

Collect like terms

[tex] 12n + 12 = 180 [/tex]

Subtract 12 from both sides

[tex] 12n + 12 - 12 = 180 - 12 [/tex]

[tex] 12n = 168 [/tex]

Divide both sides by 12

[tex] \frac{12n}{12} = \frac{168}{12} [/tex]

[tex] n = 14 [/tex]

C. Plug in the value of 14 to get the measurement of both angles

[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]

[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]

Answer:

c on edge

Step-by-step explanation:

fr

Answer:

(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.

Step-by-step explanation:

edge:2022 Happy new year!