8.
7. What is the distance between (1,-4) and (1. 18)? *
Mark only one oval.
2 units
5 units
19 units
22 units
0000

Answer:

The vertical line test is a method that is used to determine whether a given relation is a function or not. The approach is rather simple. Draw a vertical line cutting through the graph of a relation, and then observe the points of intersections.

Step-by-step explanation: hope this helps

Answer:

D. cost of materials.

Step-by-step explanation:

All of the others stay the same price

Cost of materials​ is not an example of a fixed cost.

Fixed costs are costs that are not affected by volume. Fixed costs are costs that are based on time rather than the amount produced or sold by your company. Rent and leasing charges, salary, utility bills, insurance, and loan repayments are all examples of fixed costs.

Furthermore, fixed costs are those that are fixed for the duration of the manufacturing period. Salaries given to employees, on the other hand, can vary when the number of employees increases or decreases.

Here, Cost of materials​ is not an example of a fixed cost.

and, Monthly Rent, Cable bill and Annual property price will stay same.

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Answer:

375 units²

Step-by-step explanation:

A = bh/2

A = (75)(10)/2

A = 750/2

A = 375

The linear function C has the greatest initial value is 2. And the linear function B that has the greatest rate of change is 3.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Then the equations of the functions A, B, and C is given as

Function A: y = 5/2 x

Function B: y = 3x - 1

Function C: y = 1/3x + 2

Then graph of the functions is given below.

The linear function C has the greatest initial value is 2.

The linear function B that has the greatest rate of change is 3.

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Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

Answer:

Answer choice C is correct

Step-by-step explanation:

Step-by-step explanation:

From the given gummi bear, the chance that Adam is selected for any draw is 1/3 as well as the chance he is not selected at any draw is 2/3.

a). The probability of Adam getting exactly three gummi bears = P(Adam gets selected at 3 draws and not selected at the remaining 9 draws)

= \($ (\frac{1}{3})^3 (\frac{2}{3})^9 = \frac{2^9}{3^{12}} $\)

Now, the 3 draws where Adam gets selected can be any 3 out of 12 draws in \($ {\overset{12}C}_3 $\) = 220

Thus, probability of Adam getting three gummi bears = \($ 220 \times \frac{2^9}{3^{12}} $\)

                                                                                                = 0.21186

b). Probability that Adam will get the three gummi bears given each person will received at the most 1 gummi bear

= P(of the remaining 9 draws after assigning one gummi bear to each one, Adam gets selected at 2 draws and not selected at 7 draws) = \($ {\overset{9}C}_2 (\frac{1}{3})^2 (\frac{2}{3})^7 $\)

                                                                                               = 0.23411

c). Let X = Number of the gummi bears which Adam will get. Then, X = number of draws out of 12 draws Adam gets selected and X ~ B(12, 1/3). So,  Adam will get gummi bears= mean of B(12, 1/3) = 12 x (1/3) = 4

d). Let Y = Number of the gummi bears that Adam will get, given each person will received at the most 1 gummi bear Then, Y = number of draws Adam gets selected in the remaining 9 draws and Y ~ B(9, 1/3). So, the expected number of bears that Adam gets given each person received at least 1 gummi bear

= 1 + mean of B(9, 1/3) = 4

e). When every one gets atleast one gummi bear, the new sample size will be 9 and so we can say that there is a reduction in variance.

Based on the scale factor of 1:6, if the area of the activity field is 21,600 square feet, the area of the playground is equal to 3,600 square feet.

Given the following data:

Scale factor = 1:6

Area of the activity field = 21,600 square feet.

A scale factor can be defined as the ratio of two (2) corresponding length of sides, area, or diameter in two similar geometric figures such as equilateral triangles, river, planets in our solar system, etc.

Let E represent the area of the elementary playground.

Let H represent the area of the high school activity field.

Therefore, a mathematical expression which relates the area of the elementary playground to the area of the high school activity field is given by:

E : H 1:6 = x : 21,600

Evaluating, we have:

1/6 = x/21,600

Cross-multiplying, we have:

6x = 21,600

x = 21,600/6

x = 3,600 square feet.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

The rectangular coordinate from the given polar coordinate is (2.73, -0.73)

To find the rectangular coordinate from the polar coordinates, we can rewrite this as;

x = r cosθ

y = r sinθ

x = r cosθ

Let's substitute the values into it;

x = (2√2)* cos(-π/12)

x =(2√2)cos(-15)

x = √3 + 1

x = 2.73

y = r sin θ

y = (2√2)sin(-π/12)

y = (2√2) * sin (-15)

y = -√3 + 1

y = -0.73

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Answer:

1 = C

2 = B

3 = B

4= C

Step-by-step explanation:

Im not 100% sure but.. i tried

Answer:sike i lied i must provide

Step-by-step explanation: its ez just do it

Answer:

50

Step-by-step explanation:

1/2 *H(l1+l2)

1/2*5(7cm+13cm)

1/2*5*20

1/2*100

50

The area of trapezoid is 10√21 cm².

A quadrilateral having only two sides parallel.

Given:

a= 7 cm, b= 13 cm

slant height = 5

So, height= √5² - 2²

height= √21

So,

A = (½* height)*(Sum of the bases)

A= 1/2 * ( 7+ 13) * √21

A= 10√21 cm²

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Yes, the results of this study provide convincing evidence that coffee drinkers generally prefer fresh-brewed coffee over instant coffee.

And, The sample of 50 coffee drinkers is large enough to provide a representative sample of the population of coffee drinkers in the small city.

Now, By having each participant taste two unmarked cups, one containing instant coffee and the other containing fresh-brewed coffee, the study provides a fair comparison between the two types of coffee.

And, The fact that 36 out of the 50 participants preferred fresh-brewed coffee suggests that a majority of coffee drinkers in this population do indeed prefer fresh-brewed coffee.

However, it is important to note that these results may not necessarily generalize to coffee drinkers in other populations or regions. This is significantly higher than the skeptic's claim that only 50% prefer fresh-brewed coffee, suggesting that there is a clear preference for fresh-brewed coffee among the sampled population.

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The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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Answer:

-13.2

Step-by-step explanation:

-8.2-5 is the same as adding them if they were positive and then adding the negative sign in front

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

56ft

Step-by-step explanation:

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

25≥ w

i dont have the inquality sign

Step-by-step explanation:

multiply both sides by 5/4

In 56 ways, she can select the questions.

Define combination.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant. The digits 0 through 9 can be put together in one of 10,000 different ways to create a four-digit code.

Given Data

An English test contains 8 short-answer questions.

If Ebony must choose 5 to answer.

h = x

r = 5

Number of ways for selecting the questions are, through combination,

ˣC₅ = \(\frac{x!}{r!(x-r)!}\)

ˣ C ₅ = \(\frac{x!}{5!(x -r)!}\)

ˣC₅   = \(\frac{x(7)(6)5!}{5!(3)}\)

ˣC₅  = 56

In 56 ways, she can select the questions.

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When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

Using the given functions, we have:

\(f(x) = x^2 + 3\)

\(g(x) =\) \(\sqrt{(x-4)}\)

To find f(g(x)), we substitute g(x) for x in the expression for f(x):

\(f(g(x)) = (g(x))^2 + 3\)

= (\(\sqrt{(x-4))^2 + 3}\)

\(= (x-4) + 3\)

\(= x - 1\)

Therefore,\(f(g(x)) = x - 1.\)

To find g(f(x)), we substitute f(x) for x in the expression for g(x):

\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)

= \(\sqrt{((x^2 + 3) - 4)}\)

= \(\sqrt{(x^2 - 1)}\)

= |x|\(\sqrt{(x^2 - 1)}\)

Therefore,  \(g(f(x)) =\) |x|  \(\sqrt{(x^2 - 1)}\)

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The polynomial function that best fits the graph is f(x) = 130(x+3)(x-2)²(x-5).

The given graph exhibits three x-intercepts at x = -3, 2, and 5, and the y-intercept is positioned at (0, 2). The graph passes through the x-axis linearly at x = -3 and x = 5, indicating that the corresponding factors of the polynomial will be linear. However, at x = 2, the graph bounces off the x-axis at the intercept, implying that the corresponding factor of the polynomial will be quadratic. Therefore, the polynomial function can be expressed as follows:

f(x) = a(x+3)(x-2)²(x-5)

To find the stretch factor 'a,' we can use another point on the graph, such as the y-intercept (0, 2). By plugging in the values, we obtain:

f(0) = a(0+3)(0-2)²(0-5)

-2 = a(0+3)(0-2)²(0-5)

-2 = -60a

a = 130

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

Step-by-step explanation:

Answer:

D. Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation:

Experimental studies are those studies that are based upon the experiments in this the group could be controlled and testable also so according to the given situation, the option D is correct as Jenae have the similar maount of sugar and sweetener at each and every location

Therefore the last option is correct

Answer:

Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation: