please help i been confused on this for so long

The range of the following relation is -4.5 < y ≤ 2.5

Given data ,

Let the range of the function be represented as R

Now , the value of R is

R = possible output values

And , range is the set of outputs of a relation or function. In other words, it's the set of possible y values.

So , the possible values of "y" are greater than -4.5 (denoted by the symbol "<") and less than or equal to 2.5 (denoted by the symbol "≤")

Hence , the range is -4.5 < y ≤ 2.5

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Cassie has a total of 100 yellow flowers.

Given that one-fifth of the flowers are orange, a proportion can be used to find out how many flowers Cassie has in total.

Assuming x represent the total number of flowers Cassie has:

So Cassie has 125 flowers in total.

If 25 of them are orange, then the remaining flowers must be yellow:

125 - 25 = 100

Therefore, Cassie has 100 yellow flowers.

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the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.

what is volume ?

Volume refers to the amount of space that an object or substance occupies in three-dimensional space. It is typically measured in cubic units, such as cubic meters (m³) or cubic feet (ft³), and is calculated by multiplying the length, width, and height of the object

In the given question,

To convert 758 cubic feet to cubic meters, we need to use the conversion factor:

1 ft³ = 0.3048³ m³

We can then multiply the volume in cubic feet by this conversion factor to get the volume in cubic meters:

758 ft³ × (0.3048 m/ft)³ = 21.46 m³ (rounded to two decimal places)

Therefore, the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.

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To convert fluid ounces to gallons, we need to divide the number of fluid ounces by the number of fluid ounces per gallon. Using the conversion factor 1 gallon/ 128 fluid ounces, we get:

1,408 fluid ounces ÷ 128 fluid ounces per gallon = 11 gallons

Therefore, 1,408 fluid ounces of water is equivalent to 11 gallons of water.

Answer:

1,408 fluid ounces of water is equivalent to 11 gallons of water.

Step-by-step explanation:

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  [tex]7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0[/tex]

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  [tex]\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0[/tex]

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

The area of the composite shape can be found to be 112 sq in.

This is a composite shape and the most likely question to be answered is to find the area of the composite shape.

To find the area of the composite shape consisting of a triangle and a rectangle, we need to find the area of each shape and then add them together.

The area of a triangle is given by the formula:

A = (1/2)bh

A = (1/2)(4)(6) = 12 sq in

The area of a rectangle is given by the formula:

A = lw

A = (10)(10) = 100 sq in

To find the area of the composite shape, we add the areas of the triangle and the rectangle:

A = 12 + 100 = 112 sq in

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a) Required slope of each line is 5/2.

b) Here each pair of lines are parallel to each other.

How to find slope?

To find the slope of a line passing through two points [tex](x_1,y_1) \: and \: (x_2,y_2)[/tex]

we use the formula:

slope [tex]= \frac{(y_2 - y_1)}{ (x_2 - x_1)}[/tex]

Here,

Line passing through (2,2) and (4,7):

slope = (7 - 2) / (4 - 2) = 5/2

Line passing through (-2,-2) and (2,8):

slope = (8 - (-2)) / (2 - (-2)) = 10/4 = 5/2

Line passing through (0,7) and (-2,2):

slope = (2 - 7) / (-2 - 0) = -5/-2 = 5/2

Thus, all three lines have the same slope of 5/2.

To determine whether two lines are parallel, perpendicular, or neither, we look at the slopes of the lines. If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. Otherwise, they are neither parallel nor perpendicular.

So let's compare each pair of lines:

Line 1 and line 2:

Both lines have a slope of 5/2 but their product is not -1, so they are parallel but not perpendicular.

Line 1 and line 3:

Both lines have a slope of 5/2, but their product is not -1, so they are parallel but not perpendicular.

Line 2 and line 3:

Both lines have a slope of 5/2, but their product is not -1, so they are parallel but not perpendicular.

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1.) For drop down number 1 The variable, [tex]g[/tex], represents  Is A. "✔ the number of grapes Graciella had."

2.) For drop down number 2 The equation that correctly models the problem is A. "[tex]g/6 = 16[/tex]."

3.) For the drop down number 3 To undo what has been done to the variable Is C, "multiply by 6" on both sides of the equation.

4.) For the drop down number 4 The solution of the equation is D, [tex]g = 96[/tex]

5.) For the drop down number 5 Check the solution by substituting Is D, 96 In for [tex]g[/tex] and simpilfying.

The variable, g, represents

✔ the number of grapes Graciella had

.

The equation that correctly models the problem is

✔ g/6 = 16

.

To undo what has been done to the variable,

✔ multiply by 6

on both sides of the equation.

The solution of the equation is

✔ g = 96

.

Check the solution by substituting

✔ 96

in for g and simplifying.

Using the Pythagorean theorem, we know that:

hypotenuse^2 = adjacent side^2 + opposite side^2

53^2 = 26^2 + opposite side^2

opposite side^2 = 53^2 - 26^2

opposite side^2 = 2025

opposite side = √2025

opposite side = 45

Therefore, the length of the opposite side is 45 cm.

The calculation is correct. You can also use the trigonometric ratio of sine to calculate the opposite side. In this case, sinθ = opposite side / hypotenuse, where θ is the angle opposite to the opposite side.

opposite side = sinθ x hypotenuse

θ = sin^-1 (opposite side / hypotenuse)

θ = sin^-1 (26/53)

θ = 30.96 degrees

opposite side = sinθ x hypotenuse

opposite side = sin(30.96) x 53

opposite side ≈ 45

Therefore, the length of the opposite side is approximately 45 cm, which is the same as our previous calculation.

Answer:

Step-by-step explanation:

To solve this problem, we need to find the total shaded area and then divide it by the total area of the diagram.

Let's first find the area of each square. Since the area of a square is given by the formula A = s^2, where s is the length of a side, we can find the length of a side by taking the square root of the area.

For the first square, the shaded area is 2/12, or 1/6, of the total area. So, if we let x be the length of a side, we have:

(1/6)x^2 = 2/12

Simplifying, we get:

x^2 = 2/12 * 6

x^2 = 1

x = 1 (since the length of a side cannot be negative)

So, the first square has an area of 1 square unit.

For the second square, the shaded area is 2/15 of the total area. So, if we let y be the length of a side, we have:

(2/15)y^2 = 2/12

Simplifying, we get:

y^2 = (2/15) * (12/2)

y^2 = 1.6

y = 1.2649 (rounded to four decimal places)

So, the second square has an area of approximately 1.6 square units.

To find the total shaded area, we add the shaded areas of the two squares:

1/6 + 2/15 = 5/30 + 4/30 = 9/30 = 3/10

To find the total area of the diagram, we add the areas of the two squares:

1 + 1.6 = 2.6

Finally, we divide the total shaded area by the total area of the diagram:

3/10 ÷ 2.6 ≈ 0.1154

Therefore, the answer is not one of the choices given. The closest answer is A. 0.148, but the correct answer is actually slightly less than that.

Answer:

Step-by-step explanation:

Let's start by calculating the area of each square. We can do this by squaring the length of one of the sides. If we assume that both squares have the same length, we can call this length "x".

The area of the first square would then be x^2, and the area shaded would be 2/12 of this. Simplifying this fraction, we get 1/6. So the shaded area of the first square is (1/6)x^2.

The area of the second square is also x^2, and the shaded area is 2/15 of this. Simplifying this fraction, we get 2/15. So the shaded area of the second square is (2/15)x^2.

To find the total shaded area, we simply add these two areas together:

(1/6)x^2 + (2/15)x^2

To simplify this expression, we can find a common denominator for the fractions:

(5/30)x^2 + (4/30)x^2

Combining the terms, we get:

(9/30)x^2

Simplifying the fraction, we get:

(3/10)x^2

So the total shaded area is (3/10)x^2.

To find the fraction of the total diagram that is shaded, we need to divide this by the total area of the diagram, which is the sum of the areas of the two squares:

x^2 + x^2 = 2x^2

Dividing the shaded area by the total area, we get:

(3/10)x^2 / 2x^2 = 3/20

So the fraction of the total diagram that is shaded is 3/20.

In summary, we calculated the area of each square, found the shaded area of each square, added these together to get the total shaded area, and then divided this by the total area of the diagram to find the fraction that is shaded. The answer is 3/20. which is approximately equal to 0.148 repeated.

The rate at which the depth is changing at 2 am is given as follows:

D'(2) = 0.4354 feet per hour.

The equation giving the depth of the water in t hours after midnight is given as follows:

D(t) = 2cos(πt/3 + 2π/5) + 3.

The derivative of the cosine is negative sine, while the inner derivative is of π/3, hence, applying the chain rule, the derivative is given as follows:

D'(t) = -2π/3sin(πt/3 + 2π/5)

2 am is 2 hours after midnight, hence the numeric value of the derivative is given as follows:

D'(2) = -2π/3sin(2π/3 + 2π/5)

D'(2) = 0.4354 feet per hour.

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Answer:

6a^2

Step-by-step explanation:

a^2= 8^2

a^2=64

Total surface area=6×64

answer= 384cm^2

hope this helps :)

A reservoir is 60% filled with liquid. It holds up to 1690 gallons so, we need to add 676 gallons of water to fill the reservoir to the top.

The reservoir is already 60% filled, which means it contains 60% of 1690 gallons:

60% of 1690 = 0.6 x 1690 = 1014 gallons

To fill the reservoir to the top, we need to add the remaining 40% of the capacity. We can calculate this by subtracting the current amount of water from the total capacity of the reservoir:

100% - 60% = 40%

40% of 1690 = 0.4 x 1690 = 676 gallons

Therefore, we need to add 676 gallons of water to fill the reservoir to the top.

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Answer:

Th expression would be 3x+4

To create a frequency table and histogram from the given set of numbers, we first need to determine the frequency of each value in the set.

The frequency of a value represents the number of times that value appears in the set.

The set of numbers given is {14, 14, 15, 15, 26, 28, 29, 30, 30}. We can create a frequency table by listing each unique value in the set and its frequency:

Value Frequency

14            2

15            2

26            1

28            1

29            1

30            2

From the frequency table, we can see that the most common values in the set are 14, 15, and 30, each occurring twice. The least common values are 26, 28, and 29, each occurring only once.

To create a histogram, we can use the frequency table to plot the values on the x-axis and their corresponding frequencies on the y-axis. The histogram will consist of a set of bars, where the height of each bar corresponds to the frequency of the value.

Here's how we can create the histogram:

Draw the x-axis and label it with the values in the set: 14, 15, 26, 28, 29, 30.

Draw the y-axis and label it with the frequency values from the frequency table: 0, 1, 2.

For each value in the set, draw a bar whose height corresponds to the frequency of the value.

Label each bar with the value it represents.

The resulting histogram will have six bars, one for each unique value in the set. The bars corresponding to 14, 15, and 30 will be twice as tall as the others, reflecting their higher frequency in the set. The bars corresponding to 26, 28, and 29 will be shorter, reflecting their lower frequency.

Overall, the frequency table and histogram provide a clear and concise visual representation of the distribution of values in the set, highlighting the most and least common values and their frequencies.

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Answer:

Solid H

Step-by-step explanation:

Solid H is the only one that you can rotate to match all three views. Keep in mind that you ARE able to rotate the solid to fit the view, but you CANNOT change the solid's shape to fit the view.

Only H looks like a square from the top.

Answer: H

Answer:

X=30

Step-by-step explanation:

6/18 = 10/x

1/3= 10/x

cross multiply

x= 30

Y and X can both be proportional if:

A. product is constant

B. quotient is constant

C. increase by x + 2

D. increase by 2x

Answer:

B

Step-by-step explanation:

Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

The integers that represent each situation are 35, -40, -12, -288, 14, 75, 0, and -95.

We have,

An integer is a whole number that can be positive, negative, or zero but does not include any fractions or decimals.

Examples of integers include -3, 0, 7, and 100.

Now,

You earn $35 for cleaning the neighbour's yards = $35

A scuba diver is 40 feet below sea level = -40 feet

Weight loss of 12 pounds = -12

The temperature on Saturday was 288 degrees below zero degrees.

= -288 degrees

Your team gains 14 points in a game.

= 14

Deposit of $75

= $75

Sea level.

= 0

Withdrawal of $95.

= - $95.

Thus,

The integers that represent each situation are 35, -40, -12, -288, 14, 75, 0, and -95.

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Answer:

To find the unit rate describing the number of seconds it takes the marble to travel one centimeter, we need to invert the given unit rate of 2 centimeters per second. Inverting the unit rate means swapping the numerator and denominator of the fraction to get a new fraction with the same value but different units.

2 centimeters/second = 1/2 seconds/centimeter

Therefore, the unit rate describing the number of seconds it takes the marble to travel one centimeter is 1/2 seconds/centimeter. This means that it takes the marble half a second to travel one centimeter.

Answer:

X=r+h

Step-by-step explanation:

add h to both sides to get the x variable by itself

so X-h+h=r+h

simplify:

X=r+h

Answer:

x = h + r

Step-by-step explanation:

x - h = r               (Add h to both sides to get x alone)

   +h  = +h

x = h + r

Answer: To solve the equation C/9 = 9, you want to isolate the variable C. To do this, you can multiply both sides of the equation by 9 (the denominator of the fraction):

Example: C/9 × 9 = 9 × 9

On the left side of the equation, the 9's cancel out, leaving you with just C:

C = 81

Therefore, the answer to C / 9 = 9 is 81.

Step-by-step explanation: Sincerely, answered by Lizzy ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a lovely day! (ᵔᴥᵔ)

Sample Response: Solve by undoing the division by multiplying by 6 on both sides of the equation. The solution is c = 54. Check the solution by substituting 54 for the variable in the original equation and then simplify. 9 = 9 is true, so 54 is the solution.

To model the number of enrolled students, y, x years after the program began, we can use an exponential equation in the form:

y = ab^x

where a is the initial number of students, b is the growth factor, and x is the number of years after the program began.

We are given that the initial number of students was 245, and that the number of enrolled students after one year is 294. Therefore, we can use these values to find the growth factor b:

294 = 245b^1

b = 294/245

b = 1.2

Now that we know the growth factor, we can write the exponential equation in the form y = a(1.2)^x:

y = 245(1.2)^x

This equation can be used to model the number of enrolled students, y, x years after the program began, assuming that the advertising strategy continues to be successful and the growth rate remains constant.

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[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]

[tex]\textcolor{blue}{\small\texttt{If you have any further questions,}}[/tex] [tex]\textcolor{blue}{\small{\texttt{feel free to ask!}}}[/tex]

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the average temperature over the 8-hour period is 47°C, the minimum temperature is 32°C, and the maximum temperature is ? + 60°C

a) The average temperature can be found by integrating T(t) from 0 to 8 and dividing by the interval of integration:

Average temperature = (1/8) ∫T(t)dt from 0 to 8

= [tex](1/8) [∫(? + 4t + 32)dt from 0 to 8]= (1/8) [(?t + 2t^2 + 32t) from 0 to 8]= (1/8) [(?8 + 2(8)^2 + 32(8) - (?0 + 2(0)^2 + 32(0)))][/tex]

= (1/8) [(?8 + 128 + 256)]

= (1/8) [376]

= 47°C

Therefore, the average temperature over the 8-hour period is 47°C.

b) The minimum temperature occurs when the derivative of T(t) is equal to 0:

d/dt(T(t)) = 4

Setting this equal to 0, we find that the minimum temperature occurs at t = 0.

Therefore, the minimum temperature over the 8-hour period is T(0) = ? + 4(0) + 32 = 32°C.

c) The maximum temperature occurs when the derivative of T(t) is equal to 0:

d/dt(T(t)) = 4

Setting this equal to 0, we find that the maximum temperature occurs at t = 8.

Therefore, the maximum temperature over the 8-hour period is T(8) = ? + 4(8) + 32 = ? + 60°C.

In summary, we have found that the average temperature over the 8-hour period is 47°C, the minimum temperature is 32°C, and the maximum temperature is ? + 60°C. These results are useful in determining the overall temperature trend and can inform decisions related to temperature regulation or outdoor activities that may be influenced by the temperature.

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Answer:

Triangles in Geometry

Step-by-step explanation:

Answer: B. quotient of Y and X is constant.

Step-by-step explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.

Answer: B. quotient of Y and X is constant.

Step-by-step explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.

Answer:

The crisps cost 1.15 pounds

Step-by-step explanation:

We can write this in the form of an equation:

4×2.40+1.20+3x=20-5.75

9.6+1.20+3x=14.75

10.8+3x=14.75

3x=14.75-10.8

3x=3.45

x=1.15

Hope this helps!