themba wants to open lava coffee shop and make it the most popular coffee shop in the township.​

Answer:

I believe it would be 1400

Step-by-step explanation:

If it is multiple choice this would probably be the best choice

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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We are given the equation:

\(\lim_{x \to 1} \frac{f(x)-8}{x-1} = 10\)

which can be rewritten as:

\(\frac{\lim_{x \to 1}[f(x)-8]}{\lim_{x \to 1}[x-1]} = 10\)

\(\lim_{x \to 1}[f(x)-8] = 10*\lim_{x \to 1}[x-1]\)

\(\lim_{x \to 1}[f(x)-8] = \lim_{x \to 1}[10x-10]\)

which means that..

\(f(x) - 8 = 10x - 10\)

\(f(x) = 10x - 10 + 8\)

\(f(x) = 10x - 2\)

Finding the limit:

\(\lim_{x \to 1} f(x) = \lim_{x \to 1} (10x - 2)\)

\(\lim_{x \to 1} f(x) = 10(1) - 2\)

\(\lim_{x \to 1} f(x) = 8\)

Answer:

8.

Step-by-step explanation:

lim x --> 1 of  10x - 10 / (x - 1)

= lim x -->1  of 10/1  ( Because when x = 1 the function = 0/0 so we can apply

L'hopitals rule  which states that that if f(x)/ g(x) = 0/0 when x = limit value, then the limit is = f'(x) / g'(x))

So f(x) - 8 = 10x - 10

f(x) = 10x - 10 + 8

f(x) = 10x - 2

- and the limit as x ---> 1 of this is

10(1) - 2

= 8.

Answer:

\(2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }\)

Hope it helps ⚜

Answer:

$17.5

Step-by-step explanation:

hello,

we need to compute P(30)

P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5

hope this helps

Answer:

The area of a triangle uses the equation:

A = ab/2

a = 12

b = 9

A = 12 * 9 / 2

A = 54 inches

54 / 3 = 18

He needs 18 feet of paper

Answer:

The answer is not C

Step-by-step explanation:

The function models the sum is  h(t) = 16t² + 15t + 250. which is the correct answer would be an option (D).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function f(t) = –16t2 + 250 represents the distance of a dropped object from the ground at any time, t.

The equation g(t) = 15t represents the height of the object if it is tossed upward at a rate of 15 feet per second

Given that

The expression f(t) = -16t²  + 250 and

g(t) = 15t can be combined into

h(t) = -16t²  + 15t + 250.

We cannot combine the two expressions including the variable t.

Additionally, they must be separated, as they are in each of the expressions given.

Since g(t) = 15t is a positive expression,

We may logically assume that h(t) = 16t² + 15t + 250.

Hence, the function models the sum is  h(t) = 16t² + 15t + 250.

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Answer:

Variance is 256

Step-by-step explanation:

Variance:

\(var = \frac{ ({ \sum x})^{2} }{n} - {( \frac{ \sum x}{n} })^{2} \)

x is the number or item in the data

n is the number of terms

\({ \tt{ \sum x = (12 + 7 + 6 + 4 + 11)}} \\ { \tt{ \sum x = 40}}\)

Therefore:

\(variance = \frac{ {40}^{2} }{5} - { (\frac{40}{5}) }^{2} \\ \\ = 320 - 64 \\ variance = 256\)

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:

B and C. Credit to the first comment on the first answer

Step-by-step explanation:

Answer:

The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph.

Step-by-step explanation:

hope this helps you :)

Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Given -

B = 9 in²

h = 32 in

To Find -

Evaluate the formula (V) =?

Step-by-Step Explanation -

As we are given

Simply putting the values in the above formula:

Final Answer -

Option D. 96 in³

The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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Answer:

The nth term is Tn = 2[T(n- 1) -2]

The next term is 356

Step-by-step explanation:

Given

Terms: 15,26,48,92,180

Solving (a) : The recursive n term

We have:

T1 = 15

T2 = 26 = 13 * 2 = (15 - 2) * 2

T3 = 48 = 24 * 2 = (26 - 2) * 2

T4 = 92 = 46 * 2 = (48 - 2) * 2

T5 = 180 = 90 * 2 = (92 - 2) * 2

So, the nth term can be represented as:

Tn = [T(n-1) - 2] * 2

Tn = 2[T(n-1) - 2]

The next term is the 6th term.

So, substitute 6 for n in the above formula.

T6 = 2 * [T(6 - 1) - 2]

T6 = 2 * [T5 - 2]

Substitute 180 for T5

T6 = 2 * (180 - 2)

T6 = 2 * 178

T6 = 356

Answer: 2/7 of a gallon (in decimal it’s 0.286)

Step-by-step explanation: This one’s really easy.

2/7 of 1 gallon. Checking: so that if you multiply it by 7 it equals to 2

The gallon he used each hour he works is 2/7.

What is unit rate?

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity.

The common examples used are:

Distance per second

Kilometer per hour

Meter per second

Earning per month

Given,

he used 2 gallons liquid for every 7 hours he works.

gallons used for per hour = 2/7

Hence, He used 2/7 gallons per hour.

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Answer: ∠B = 82°

Step-by-step explanation:

To find the measure of B, you have to find the measure of A.

m∠143° + m∠A = 180° because they are a linear pair

m∠A + 143 = 180

Subtract both sides by 143

m∠A = 37

Since you know the measure of angle A, you can find angle B

Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.

∠B + ∠A + ∠C = 180°

Substitute

∠B + 37 + 61 = 180

∠B + 98 = 180

Subtract 98 from both sides

∠B = 82°

Answer:

7 hours.

Step-by-step explanation:

$6 x 7 = $48

$48 - $7= $41

Answer:

(0.25, 0.5) and (0, 0)

Step-by-step explanation:

The image below shows proof that the points (0.25, 0.5) and (0, 0) are the system of equations of 4x2x and y = 2r

Hope this helps! :)

The equation for direct variation is

p = k*q

where k is the constant of proportionality

Putting in what we know

166 lbs = k * 20 gallons

Divide each side by 20 gallons

166 lbs / 20 gallons = k

8.3 lbs per gallon = k

The constant of proportionality is 8.3 pounds per gallon

We have 30 gallons

p = 8.3 lbs/ gal * 30 gal

p =249 pounds

When we have 30 gallons, it will weight 249 pounds

p = 8.3 lbs/gallon * g

Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

Answer:

  P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

  P = A +q(B -A) = (1 -q)A +qB

For q = 3/4, the location of P is ...

  P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

  P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

  P = (2, 7)

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Answer:

A New Element

Answer:

the answer

1000000002