Aiko types at a rate of 50 words per minute.

After typing at the same rate for 3 minutes, he has typed a total of 150
words.

This situation can be represented with a linear equation written in point- slope form, where x represents the number of minutes and y represents the number of words.

Use this information to complete each statement about the linear equation.

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

To solve this problem

  ⇒ need to use the special right triangle theorem

    ⇒ 30-60-90 triangle theorem (look at diagram attached for the property)

Using the theorem:

            [tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]

             [tex]y = 2x = 2 * 17 =34[/tex]

Answers:

  x = 17 and y = 34

Hope that helps!

Step-by-step explanation:

- The distance traveled to get to the top of the hill will be equal to the distance traveled to get to the bottom of the hill. Distance down the hill = Distance up the hill = 187.5 meters.

- Only the speed of going up the hill and down the hill will be different.

Answer:

The formula for the area of a circle:

[tex]A = \pi r^{2}[/tex]

You have said:

[tex]r = 14m[/tex]

So substitute the values of pi and r into the formula:

[tex]A = \pi r^{2} \\A = (3.14)(14m)^{2} \\A = (3.14)(196m^{2} )\\A = 615.44m^{2}[/tex]

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

[tex]\sf f(x) = 3 \ * \ 2^x[/tex]

insert x = -2

[tex]\sf f(-2) = 3 \ * \ 2^{-2}[/tex]

[tex]\sf f(-2) = 3 \ * \ \dfrac{1}{4}[/tex]

[tex]\sf f(-2) = \dfrac{3}{4}[/tex]

option D. 3/4 will be the correct answer.

[tex]\\ \rm\Rrightarrow f(x)=3.2^x[/tex]

[tex]\\ \rm\Rrightarrow f(-2)[/tex]

[tex]\\ \rm\Rrightarrow 3.2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3(1/4)[/tex]

[tex]\\ \rm\Rrightarrow 3/4[/tex]

The options for each paragraph are listed below:

In this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.

First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).

The maximum profit of $ 50 is reached when 1000 items are produced.

The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.

The ball starts 0 feet above the ground.

The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.

The ball returns to the ground at about 17.2 feet away.

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Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

The range of the function shown on the graph is 20≤y≤60

A relation is a function if it has only One y-value for each x-value.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

Range is all the possible values of 'y'.

When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).

Therefore, the range of the function shown on the graph is 20≤y≤60

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What is the range of the function in the graph?

. 1≤x≤6

B. 20≤y≤60

C. 20≤x≤60

D. 1≤y≤60

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

Answer:

11.9

Step-by-step explanation:

Pythagorean theorem:

[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)

[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]

Answer:

11.9

Step-by-step explanation:

This is a right triangle so I can solve this with the pythagorean theorem.

Set up the equation 22²+x²=25² x would be the third side

Simplify, 484+x²=625

Subtract from both sides 484-484+x²=625-484

x²=141

Find the square root of 141 to get x

The square root of 141 is approximately 11.9 rounded to the nearest tenth.

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

The time taken by Nadia for her entire journey is 5 hours

Speed is the rate at which an object is moving, and it is defined as the distance traveled per unit of time. The formula for speed is:

           Speed = Distance/Time

Where distance is the distance traveled by an object and time is the time taken to travel that distance.

From the fomrula, we can write as

          Distance = Speed × Time

Here we have

Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours.

As we know, Distance = Speed x Time  

Distance walked = (x + 2)(x - 3)

Distance cycled = (3x + 5)(x)

The total distance covered is given as 74 km,

=> (x + 2)(x - 3) + (3x + 5)(x) = 74

=> x² - 3x + 2x - 6 + 3x² + 5x = 74

=> 4x² + 4x - 80 = 0

Hence, the final equation is 4x² + 4x - 80 = 0

(ii) The quadratic equation, can be solved as follows

=> x² + x - 20 = 0  

=> x² + 5x - 4x - 20 = 0

=> x(x + 5) -4(x + 5) = 0

=> (x + 5) (x - 4) = 0

=> x = - 5 and x = 4

Here we cant take time as negative so take x = 4 hours

(iii) To find the time taken for her entire journey, we need to add up the time taken for walking and cycling:

Total time = (x - 3) + x

Total time = 2x - 3

Substituting the value of x  

Total time = 2(4) - 3 = 8 - 3 = 5

Therefore,

The time taken by Nadia for her entire journey is 5 hours

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Answer:

40 weeks

Step-by-step explanation:

2 x 40 = 80

240-80=160

so for him to get under 175 it could be 40

i am so sorry if this is inccorect.

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

Answer:

a1= -45

an= -5 ⋅ 3^n+1

Step-by-step explanation:

Answer:

4 and -7

Step-by-step explanation:

Factors of -28: - 1, 1, - 2, 2, -4,4 ,-7,7,-14,14,-28,28

Factors with a sum of -3 = 4 and -7.

area triangle:

b×h/2

= 11 in×10 in/2

=55 in²

area half-circle:

pi×r² /2

= 3.14×5in² /2

=78.5in² /2

=39.25 in²

Total area: area triangle+ area half-circle

= 55 in²+39.25 in²

=94.25 in²

Answer:

Juan can buy 6 outfits with the money that's left over.

Step-by-step explanation:

Take $640-$265.36-$13.61-$37.11 and then divide

the answer, $332.92 by $54.87.

Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.

Given that,

Juan has $640 to spend at a bicycle store for new gear and biking outfits.

He buys a new bicycle for $265.36.

He buys 2 bicycle reflectors for $13.61 each.

He buys a pair of bike gloves for $37.11.

To determine the greatest number of outfits Juan can buy with the money he has left,

Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.

Juan's initial budget is $640.

After buying the bicycle for $265.36, the remaining amount is,

$640 - $265.36 = $374.64.

Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of

2 x $13.61 = $27.22.

Subtracting this amount from the remaining budget, we have

$374.64 - $27.22 = $347.42.

Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.

Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,

Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.

Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.

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Answer:

Step-by-step explanation:

Answer:

  u = v = 14

Step-by-step explanation:

The ratios of side lengths in a 45-45-90 triangle are ...

  1 : 1 : √2

Here, the long side is 14√2, so is 14 times this basic ratio.

  1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2

This means ...

  u = v = 14

Answer:

Below in bold.

Step-by-step explanation:

The ratio of the sides in a 45-45-90 are 1:1:√2.

so V / 14√2 = 1 / √2

V = 14√2 / √2 = 14.

and U = V = 14 also.

Answer:

Step-by-step explanation:

Answer:

  A.  50°

Step-by-step explanation:

The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.

  ∠ACB = 180° -AB

  ∠ACB = 180° -130°

  ∠ACB = 50°

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

[tex]\huge\tt \underline{Question}[/tex]

[tex]\huge\tt\underline{Answer}[/tex]

[tex]\tt{Statements:}[/tex]

[tex]\tt{Reasons:}[/tex]

[tex] \\ \\ [/tex]

see the picture above

= "i hope it's help"

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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Answer:

2,672.45475 (round if needed)

Step-by-step explanation:

44 percent to a decimal is 0.44

2.5 percent to a decimal is 0.025

6,439.65 × 0.44 = 2833.446 (within 15 days)

6,439.65 × 0.025 = 160.99125 (within 30 days)

2833.446 - 160.99125 = 2,672.45475