What is the slope and y-intercept of this graph

Answer:

Mike

Step-by-step explanation:

Mike is the traveling faster.

Answer:

2 miles per hour

Step-by-step explanation:

We want to take the miles and divide by the hours

1 1/2 ÷ 3/4

Changing to an improper fraction

3/2÷3/4

Copy dot flip

3/2 * 4/3

3/3 * 4/2

2

2 miles per hour

Answer :-

Option 2

Step by step explanation :-

d (x) = -4x has an inverse .

Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

\(\frac{5}{3}= \frac{20}{y}\)

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

\(\frac{12}{4} =\frac{y}{1}\)

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

Answer:

14 & 21

Step-by-step explanation:

14 + 21 = 35

21 - 14 = 7

Answer:

21 & 14

Step-by-Step explanation:

35 minus 7= 28 then divide that by 2 and you get 14 so now add the 7 to 14 and you get 21 and that will be the bigger number.

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

i believe it is 1

Step-by-step explanation:

Answer:

the slope is 1

Step-by-step explanation:

rise/run

1/1 = 1

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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The reasonable range for the total cost of the tickets the groups

would pay  is {84, 126, 2163}.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

Given:

The Function modeled for the situation is

f(x) = 21 x where x is the number of tickets sold.

So, For x= 4 Tickets

Fare, F(x) = 21 x 4= $84

and, For x= 6 Tickets

Fare, F(x) = 21 x 6 = $126

and, For x= 103 Tickets

Fare, F(x) = 21 x 103 = $2163.

Hence, the range is {84, 126, 2163}.

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Answer:

x = 63.4°

Step-by-step explanation:

tan(x) = Opp/Hyp

tan(x) = 18/9

tan(x) = 2

x = tan^-1 (2)

x = 63.4°

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

The discriminant and the point of tangency are used to find the values of the variables as follows;

7. The line y = m·x is tangent to the curve x² + 2·x·y + 2·x = 1 when m = 1

8. The line y = 2·x - k is tangent to the curve x² + y² = 5, when k = ±5

Exercise 11.

1. The discriminant of the equation x² - 6·x + y² - 2·y + 2 = 0 is zero when y = x - 6, therefore the line x - y = 6 is tangent to the curve x² - 6·x + y² - 2·y + 2

2. The exact values of k for which the line 2·x + 3·y = k is tangent to the curve C = 4·x² + 9·y² = 36 is k = ±6·√2

The discriminant is the values which are within the radical sign of the quadratic formula.

7. At the point of tangency, the discriminant is 0

The equation is; x² + 2·x·y + 2·x = 1

The equation of the line is; y = m·x

Rewriting the equation of the curve, we get;

x² + 2·x·y + 2·x = 1

2·x·y = 1 - x² - 2·x

\(y = \dfrac{1 - x^2 - 2 \cdot x}{2\cdot x}\)

At the point of tangency, we have;

\(y = \dfrac{1 - x^2 - 2 \cdot x}{2\cdot x} = m\cdot x\)

1 - x² - 2·x - 2·m·x² = 0

1 - x² - 2·m·x² - 2·x  = 0

1 - x²·(1 - 2·m) - 2·x  = 0

The discriminant is zero at the point of tangency, which gives;

((-2²) - 4× (-(1 - 2·m)) × 1) = 0

8 - 8·m = 0

8 = 8·m

m = 8 ÷ 8 = 1

8. The line y = 2·x - k is tangent to the curve, x² + y² = 5 where we have;

y² = 5 - x²

y² = (2·x - k)²

5 - x² = (2·x - k)²

Which gives;

k² - 4·k·x + 5·x² - 5

5·x² - 4·k·x + k² - 5

At a tangent point the discriminant is therefore;

(-4·k)² - 4 × 5 × (k² - 5) = 100 - 4·k² = 0

100 - 4·k² = 0

4·k² = 100

k² = 100 ÷ 4 = 25

k = √(25) = ±5

Exercise 11

1. The equation of the line is; x - y = 6

The equation of the curve is; x² - 6·x + y² - 2·y + 2 = 0

From the equation, x - y = 6, we get; y = x - 6

Which gives; x² - 6·x + (x - 6)² - 2·(x - 6) + 2 = 0

x² - 6·x + (x - 6)² - 2·(x - 6) + 2 = 2·x² - 20·x + 50 = 0

2·x² - 20·x + 50 = 0

x² - 10·x + 25 = 0

The discriminant is; (-10)² - 4 × 1 × 25 = 0

Therefore;

3. The curve 4·x² + 9·y² = 36 has the tangent line 2·x + 3·y = k, when we have;

4·x² + 9·y² = 36

9·y² = 36 - 4·x²

y² = (36 - 4·x²)/9 = 4 - (4/9)·x²

y² = 4 - (4/9)·x²

2·x + 3·y = k

3·y = k - 2·x

y = (k - 2·x)/3

y² = ((k - 2·x)/3)²

4 - (4/9)·x² = ((k - 2·x)/3)²

4 - (4/9)·x² - ((k - 2·x)/3)² = 0

8·x² - 4·k·x + k² - 36 = 0

(-4·k)² - 4 × 8 × (k² - 36) = 0

1152 - 16·k² = 0

16·k² = 1152

k² = 1152 ÷ 16 = 72

k = √(72) = ±6·√2

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Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

9400

Step-by-step explanation:

Because it's closer to 9400 than 9300

Answer:

Step-by-step explanation:

Median - The middle number in a set a data

First, you need to list the numbers least, on the left, to greatest, on the right.

3, 3, 4, 5, 5, 5, 6, 8, 8

Once you have done this, you can follow these steps.

Cross off the lowest number. Cross off the highest number. Repeat until there is one or two numbers left.

3, 4, 5, 5, 5, 6, 8

4, 5, 5, 5, 6

5, 5, 5

5

Since there is one number left, that is the median. In case of there being two numbers left, you add them together. Then divide by 2 and that would be your median

Answer:

\(\Large \boxed{\sf 5}\)

Step-by-step explanation:

Data set is 3, 3, 4, 5, 5, 5, 6, 8, 8

Median is the middle value in a data set

Answer:

it is the last one

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation.

Answer:

186 mph

Step-by-step explanation:

Miles per hour means miles divided by hour(s), so 558/3 is 186 miles per hour.

Answer:

186 mph in 3 hours, 232.2 in 2.5 hours.

Step-by-step explanation:

You divide the miles by hours, for example, 100 miles in 5 hours, said person would be going 20mph. Hopefully this helps, have a good day, good luck with whatever youre doing !!

Answer:

  A. The perimeter is more, but the area is less.

Step-by-step explanation:

You want to know the effect on perimeter and area if the rectangle is cut and rearranged so the pieces overlap.

The overlap means the area of the figure is reduced (by the area of the overlap, inside the dashed lines on the right). This eliminates choices B and D.

The dashed line on the left becomes two solid lines of the same length in the figure on the right, thus the perimeter is increased by twice that dashed line length.

However, the perimeter of the figure on the right is reduced by the perimeter of the part of the figure that no longer sees the outside world: the length of the dashed line on the right.

Since twice the length of the left dashed line is substantially greater than the length of the right dashed line, we must conclude the perimeter has increased in Figure 2 compared to Figure 1. This eliminates choice C.

The perimeter is more, but the area is less.

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Answer:

y = -6

Step-by-step explanation:

-2(y - 3) = y + 24

-2y + 6 = y +24

-18 = 3y

-6 = y

Answer:

Have a good day

Step-by-step explanation: and so have a good day

Answer:

1<x<3

x <  -4

Hopefully that helps :)

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

64.4

Step-by-step explanation:

In one of the trig formulas, it states    sin <a/A = sin<b/B = sin<c/C

So we have in this case:

sin(70)/12 = sin x/14           Note: x is just a variable for the angle <ABC

14(sin70)/12 = sin x

sin^-1(14(sin70)/12) = x

x=64.4

Your welcome, and comment if you have any questions! :D

Answer:

a) 1/4

b) 0.95

Step-by-step explanation:

0.25 is 25/100, which is 1/4

19/25 is 95/100, which is 0.95

Answer:

10 cm cubed or 10^3cm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

6 sides x 10 x 10 = 600

this is the surface area

The calculated scale factor from ABC to A'B'C is 1/3

From the question, we have the following parameters that can be used in our computation:

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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