The scatter plot shows the results of a survey conducted by a T-shirt manufacturing company. A line of best fit was found for the data with the equation y = -5x + 80, where y is the number of T-shirts sold and x is the price of a T-shirt. B5 80 75 70 65 60 55 50 45 . Number of T-shirts . 35 30 25 20 10 5 0 1 2 3 4 5 6 7 8 9 10 11 Price of a T-shirt (dollars) What does the slope of the line of best fit represent in this context? A. For every dollar the price of a T-shirt increases, 5 fewer T-shirts will be sold. B. For every dollar the price of a T-shirt increases, 5 more T-shirts will be sold. C. For every 5 dollars the price of a T-shirt increases, 1 more T-shirt gets sold. , D. For every 5 dollars the price of a T-shirt decreases, 1 fewer T-shirt gets sold.

The affect of mean and median due to the birth of the 4th kitchen is B. Both the mean and median will increase, but the mean will increase by more than the median.

The median is the middle value when the values are ordered from smallest to largest. In this case, the median of the first 3 kittens is 153 because it is the middle value of (147, 153, 159). The median of all 4 kittens is 153 because it is the middle value of (57, 147, 153, 159). The median does not change because the addition of the 4th kitten does not change the position of the middle value.

The mean is calculated by adding up all the values and dividing by the number of values. In this case, the mean of the first 3 kittens is:

(147 + 153 + 159) / 3 = 153

The mean of all 4 kittens is:

(147 + 153 + 159 + 57) / 4 = 128

The mean increases because the addition of the 4th kitten with a lower mass pulls the overall average down.

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 3

y-intercept = 10

The equation of a line is given as y = mx + c

m = slope

c = y-intercept

Now,

m = 3

c = 10

So,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

Thus,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

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Answer:

Newton's law also states that the strength of gravity between any two objects depends on two factors: the masses of the objects and the distance between them. Objects with greater mass have a stronger force of gravity between them.

Step-by-step explanation:

The resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively

Functions are expressions in form of variables. Given the following quadratic equation expressed as:

f(t) = 0.25t^2 − 0.5t + 3.5

We can find the equivalent value of the function when the value of t a re 2 and 6.

If the value of t is 2. hence;

f(2) =  0.25(2)^2 − 0.5(2) + 3.5

f(2) = 1 - 1 + 3.5

f(2) = 3.5

If the value of t is 6, hence;

f(6) = 0.25(6)^2 − 0.5(6) + 3.5

f(6) = 9 - 3 + 3.5

f(6) = 6.5

Hence the resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively

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Answer:

Step-by-step explanation:

The bottom left angle is also 45°, which makes this an isosceles triangle.

Therefore:

6x - 1 = 2x + 3   now solve for x

4x = 4

x = 1

Now you know each leg = 5

The bottom leg, y, you can find by using the pythagorean theorem:

y² = 5² + 5²  = 50

y = √50 = 5√2 = 7.07

The value of "x" and "y" are as:

x= 1  & y= 7.071

Step-by-step solution:

It is given that the right angle triangle has one angle of 45°

So; for finding the value of the third angle:

90° + 45° + x° = 180°

x° = 180° - ( 90° + 45° )

x° =  45°

As the side opposite to equal angles are equals i.e:

( 6x -1 ) = ( 2x +3 )

6x -2x = 3 + 1

4x = 4

x = 1

Now putting the value of "x" we get two sides of the right angle triangle:

⇒( 6x -1 )

⇒( 6[1] -1 )  

⇒5

⇒( 2x +3 )

⇒( 2[1] +3 )

⇒5

To find the value of "y", we can use "Pythagoras's theorem":

\(\\(Hypotenuse)^{2} =(Perpendicular)^{2} + (Base)^{2}\)

\(y^{2} =(5)^{2} +(5)^{2}\)

\(y^{2} = 25 + 25\)

\(y^{2} =50\)

\(y=\sqrt{50}\)

y= 7.071

Therefore, the length of the hypotenuse of the right-angle triangle is y= 7.071

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Answer:

20.3 < 35 - 9.8t < 30.1

Step-by-step explanation:

Given the Velocity model:

V = 35 – 9.8t ; t = time in seconds

V when t is between 0.5 and 1.5

V when t = 0.5

V = 35 - 9.8(0.5)

V = 35 - 4.9 = 30.1

Vt=0.5 = 30.1

V when t = 1.5 ;

V = 35 - 9.8(1.5)

V = 35 - 14.7 = 20.3

Vt= 1.5 = 20.3

Hence V, between, t = 0.5 and t = 1.5

Vt=1.5 < V < Vt=1.5

20.3 < V < 30.1

V = 35 - 9.8t

20.3 < 35 - 9.8t < 30.1

Answer:

27%

Step-by-step explanation:

3/11 = 0.27272727

so about 27%

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Answer:

  t ≈ 0.0664731

Step-by-step explanation:

Use the inverse sine function.

  sin(12t) = 141/197

  12t = arcsin(141/197)

  t = arcsin(141/197)/12

  t ≈ 0.0664731 . . . . . . . radians

__

This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

_____

In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)

To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Probability of rolling a number greater than 0 but less than 7 is 1.

The probability formula is as follows:

Probability = Favourable outcomes / Total outcomes

Sample space of rolling a dice:

S = {1, 2, 3, 4, 5, 6}

Total outcomes = 6

Favourable outcomes: number greater than 0 but less than 7

Favourable outcomes: 6

Then, probability of rolling a number greater than 0 but less than 7

Probability = Favourable outcomes / Total outcomes

Probability = 6/6

Probability = 1

Thus,  probability of rolling a number greater than 0 but less than 7 is 1.

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The complete question is-

A dice is being rolled. Find the probability of rolling a number greater than 0 but less than 7

\( \sf \dashrightarrow l = p(v_{2} - v_{1})\)

\( \sf \dashrightarrow \dfrac{l}{p} = v_{2} - v_{1}\)

\( \sf \dashrightarrow \dfrac{l}{p} + v_{1} = v_{2}\)

\( \sf \dashrightarrow v_{2} = \dfrac{l}{p} + v_{1}\)

\( \large \underline{\boxed{\bf{v_{2} = \dfrac{l}{p} + v_{1}}}}\)

Hence, value of \( \sf v_{2} = \dfrac{l}{p} + v_{1}\)

Answer:

245

Step-by-step explanation:

if you're rounding to the nearest 100, 245 would be the only one that would round to 200. if it were 250 or above, it would round to 300, so 245 is the only one that would round to 200 because 245 is less than 250

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer:

Step-by-step explanation:

y>3/2 x-1

y<3/2 x-1

graphs do not intersect any point.

so no solution.

Answer:

D

Step-by-step explanation:

no solution

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

55

Step-by-step explanation:

If you multiply by 5 to get it over 100, or the percent, you get 55/100 which can just be written as 0.55 or 55%.

Answer:

5 5/12

Step-by-step explanation:

you find the common denominator which is 12

2 6/12

8/12

2 3/12

now u add them all

hope this helps

Answer:

5 5/12 cups

Step-by-step explanation:

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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To find the values of ab, bc, and ca, we simply need to multiply the corresponding variables.

ab = 2 * 3 = 6

bc = 3 * 4 = 12

ca = 4 * 2 = 8

Therefore, ab = 6, bc = 12, and ca = 8.

Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Answer:

Step-by-step explanation:

1. (4x5) is 20

2. (4x 2) is 8

3. 20 plus 8 is 28

4. 28= 4x (5+n)

5. isolate n by dividing 4 on both sides= 28/4= 4+n

6. subtract 4 on both sides to get 7-4=n

7. n=3

Answer:

3 and 4

Step-by-step explanation:

Look at the factors of 12 and list them out

1 and 12

2 and 6

3 and 4

Find the 2 numbers that are consecutive

3 and 4

You have taken unit for mass as grams.

Converted mass:-

\(\\ \sf\longmapsto 2752.512g\)

Hence our and should be

\(\\ \sf\longmapsto 2.752kg\)

Answer:

Step-by-step explanation:

Volume of the cube:

Mass:

Your answer is correct