The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. How many miles the trip is from the airport to the convention center?
Use m for the variable.

A common formula/theorem when working with right triangles is called the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

---a and b are legs of the triangle

---c is the hypotenuse

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

c = 10

Answer: The length of the hypotenuse of the triangle is 10cm.

Hope this helps!

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

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The rate at which the distance is changing is calculated to be 14.42 miles per hour.

Consider the east direction to be denoted by x and the north direction to be denoted by y, therefore;

dx / dt = 12 mph

dy / dt = 8 mph
x is equal to 4 miles

Consider the distance between them to be s

Time taken by you to travel 4 miles = distance / speed

Time taken by you to travel 4 miles = 4/12 hour

Distance traveled by the friend in that time = speed × time

Distance traveled by the friend in that time = 8 × (4/12) = 2.67 miles

Now we use the Pythagorean theorem,

x^2 + y^2 + s^2 ...... (1)

Substitute, x = 4 miles and y = 2.67 miles

s^2 = 16 + 7.1289 = 23.1289

s = 4.81

Now differentiate equation 1 with respect to t as follows;

2x (dx/dt) + 2y (dy/dt) = 2s (ds/dt)

2(4) (12) + 2(2.67) (8) = 2 (4.81) (ds/dt)

96 + 42.72 = 9.62 (ds/dt)

138.72 = 9.62 (ds/dt)

ds/dt = 138.72/9.62 = 14.42 miles per hour

Thus the distance is changing at the rate of 14.42 miles per hour.

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Answer: a

Step-by-step explanation:

substitute the coordinate values for x and y

y<3x+3, (1,-5)

-5<3(1)+3

-5<3+3

-5<6

the coordinate (1,-5) works, so a is the answer

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:

Linear functions

Step-by-step explanation:

Answer:

Step-by-step explanation:

B, answer 12 tickets because $20 total - $2 admission fee = $18 remaining. Then $18 divided by $1.5 is 12.

Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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The project's early start date is 34 (since it is the latest early finish of all the activities' predecessors). In project management, "ES" refers to the early start date. To determine the project's early start, the following formula is used: Early Start (ES) = Latest Early Finish (LEF) of all the predecessors.

Project TX55's early start date will be determined using this formula.

Let us first determine the early finish (EF) for the given activities.

For activity D, we have:

EF(D) = ES(D) + Duration(D)

= 35 + 12

= 47

For activity E, we have:

EF(E) = ES(E) + Duration(E)

= 47 + 13

= 60

For activity F, we have:

EF(F) = ES(F) + Duration(F)

= 34 + 15

= 49

Since none of these activities have any predecessors, their early start dates will be equal to their early finish dates. Therefore, the early start for Activity D is ES(D) = 35

The early start for Activity E is ES(E) = 47

The early start for Activity F is ES(F) = 34

Therefore, the project's early start date is 34 (since it is the latest early finish of all the activities' predecessors).

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Answer:

1. (-2, 3) 7

2. (5, 8) 5

3. (-6, 1/2) 2/3

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.

lmk if im wrong, hope this helps!

Answer:

18 feet per second

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

When writing an informative essay about an event in history, you should:

To avoid finding it difficult to find information on your topics, pick a topic that has been well researched and has several sources of information on it. European history is well researched.

In the introduction, talk about why you think this topic is significant and include a thesis statement that would be the main logic you are producing details about.

Then divide this thesis into several points and talk about each point in a different paragraph. Use sentences that are not too long so that people don't lose interest.

Use primary and secondary information sources but make sure you reference these sources in the required format.

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Answer:

5ft

Step-by-step explanation:

This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.

Answer:

x = 5

Step-by-step explanation:

6/10 = 3/x

cross multiply to get 30 ( 3x10 )

then divide by 6

to get the end answer of 5

hipe this makes sense

Answer:

refer the attachment pls

The equation of the tangent to the curve at the point corresponding to t=1 is y = x - 2.

To find the equation of the tangent to the curve at the point corresponding to t=1:

We first need to find the corresponding values of x and y. Substituting t=1 into the given equations, we get:

\(x = 1^4 + 3 = 4\)
\(y = 1^3 + 1(1) = 2\)

So the point on the curve corresponding to t=1 is (4,2).

To find the equation of the tangent at this point,

we need to find the slope of the curve at this point. We can do this by taking the derivative of y(x) with respect to x:

\(dy/dx = (dy/dt)/(dx/dt) = (3t^2+t)/(4t^3)\)

Substituting t=1, we get:

dy/dx = (3+1)/(4) = 1

So the slope of the curve at the point (4,2) is 1.

Now we can use the point-slope form of the equation of a line to find the equation of the tangent:

y - 2 = 1(x - 4)

Simplifying, we get:

y = x - 2

So the equation of the tangent to the curve at the point corresponding to t=1 is y = x - 2.

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Answer:

2.808 miles. 

Step-by-step explanation:

Marta walked in 1 hour = 3.9 miles (rate of walking per hour).

The price per share is  $48.25.

In the two-stage dividend discount model, the first stage is characterised by a high growth rate. In the second stage, the high growth rate falls to a steady or normal growth rate

The first step is to determine the value of the dividends from 2010 - 2014:

Dividend in 2010 = $1.78 x 1.082 = $1.93

Dividend in 2011 = $1.78 x 1.082² = $2.08

Dividend in 2012 = $1.78 x 1.082³ = $2.25

Dividend in 2013 = $1.78 x \(1.082^{4}\) = $2.44

Dividend in 2014 = $1.78 x \(1.082^{5}\) = $2.64

Value of the dividend after 2014 =(2.64 x 1.028) / (0.076 - 0.028) = $56.54

Find the present value of these cash flows:

(1.93 / 1.076) + (2.08 / 1.076²) + (2.25 / 1.076³) + (2.44 / \(1.076^{4}\)) + (2.64 / \(1.076^{5}\)) + (56.54 / \(1.076^{5}\)) = $48.25

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Answer:

No, Dawn is not correct.

Step-by-step explanation:

I cannot provide you with a model, but the 30% discount should be applied first. 60*(70/100) = 42. Therefore, after the 30% discount, the cost will be $42. After that, Dawn should use her coupon. It will then get you 42*(85/100) = 35.70. Therefore, she would pay $35.70.

Answer:

\( log_{3}4 +6log_{3} {x}+log_{3} y \)

Step-by-step explanation:

Mistake \( 6log_3(4xy)\)

Correct expansion would be as given below:

\( log_{3}(4 {x}^{6}y ) \\ \\ = log_{3}4 +log_{3} {x}^{6} +log_{3} y \\ \\ = log_{3}4 +6log_{3} {x}+log_{3} y \\ \)

Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

1. Multiply all the x and y by 2

M (-6,4)

A (-4,6)

T (-2,4)

H (-4,2)

2. They stayed in the same quadrants. The x and y values shifted.

3. Scale factor of 1/2

4. .....mayhaps?

The correct conclusion that can be drawn from the circle graph is given as follows:

Together, Walk and Streetcar are the preferred transportation for 165 residents.

A circle graph, also known as a pie chart, is used to represent data as a circle divided into sectors, where each sector represents a portion of the whole. The size of each sector is proportional to the percentage of the whole that it represents.

Out of 300 residents, the percentages and amounts are given as follows:

Hence the last option gives the correct option in the context of the problem.

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Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

Answer:

C. 37 miles

Step-by-step explanation:

0.50 + 1.50 = 20

        -1.50     -1.50

0.50 = 18.50

18.50 / 0.50 = 37