Question 4 of 21
The graph of g(x) shown below resembles the graph of f(x) = Ixl, but it has
been reflected over the x-axis. Which is the equation of g(x)?
y
10-
-10
-10-
10
x4

Answer: 54.2241

Step-by-step explanation:

You multiply 9.513 by 5.3 which gives you an answer of 54.2241. (Hope this helped)

Answer:

$553300

Step-by-step explanation:

Let the rate of increase of radius with respect to time be dr / dt. Hence:

dr / dt = 0.4  ft/week

The cost of increasing the radius is  $1,100 per cubic foot. We can calculate how fast the cost is growing by determining the rate at which the volume increases with time (dV / dt).

The volume (V) of a spherical object is given by:

\(V=\frac{4}{3} \pi r^3\\\\differentiating\ with\ respect\ to\ t:\\\\\frac{dV}{dt}= \frac{d}{dt}(\frac{4}{3} \pi r^3)\\\\ \frac{dV}{dt}= \frac{4}{3} \pi\frac{d}{dt}(r^3)\\\\ \frac{dV}{dt}= \frac{4}{3} \pi*3r^2\frac{dr}{dt} \\\\ \frac{dV}{dt}= 4\pi r^2\frac{dr}{dt} \\\\Substituting:\\\\ \frac{dV}{dt}= 4\pi (10 \ feet)^2(0.4\ feet/week)\\\\ \frac{dV}{dt}=503\ feet^3/week\)

Therefore, the cost of increasing volume = 503 feet³/week * $1100 / feet³ = $553300

Answer:

-20+5x=2.

Step-by-step explanation:

..............

Answer:

(4n^2 + 1) (2n+1) (2n-1)

Step-by-step explanation:

use difference of squares

if my answer is correct, pls mark this is brainliest! thanks!

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 4n² and b=1.

(4n² + 1) (2n + 1) (2n − 1)

Answer:

x= 48

Step-by-step explanation:

Multiply 8 by 6 to get x by itself and you get your answer.

Answer:

48=x

Step-by-step explanation:

just multiply 6 and 8

48/8 is 6 right?

so x = 48

Brainiest plz

it took the runner 21 seconds to win the race

What are Distance and velocity ?

velocity is a unit of measurement for the Distance an object travels in a

the predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by

dividing the total Distance traveled by the journey time.

We want to find t, so we can rearrange the equation to isolate t:

t = (v - u) / a

Substituting the values we have:

t = (42 m/s - 0 m/s) / (-2 m/s^2)

t = -21 s

Wait a minute, why is the time negative? That's because we chose a coordinate system where positive is in the direction of motion, and negative is opposite to it. In other words, the runner is going in the negative direction of the x-axis, so the displacement (100 meters) is negative. Therefore, the time is negative as well. However, we can take the absolute value of time to get the magnitude:

|t| = |-21 s| = 21 s

So it took the runner 21 seconds to win the race (assuming constant acceleration, which may not be realistic for human sprinters).

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Answer:

24 square yards

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

Hence 24 square yards of carpeting is needed

Answer:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

Answer:

90 ml

Step-by-step explanation:

225 ml of 50% solution contains:

x ml of 85% alcohol mixture contains

we need 60% solution which will contain:

so we require 90 ml of 85% solution added

Answer:

2/5

Step-by-step explanation:

On the number line the number 0.4 is above the fraction 2/5

Given:

Consider the below figure attaches with this question.

To find:

The size of angle x.

Solution:

Law of Cosines:

\(\cos A=\dfrac{b^2+c^2-a^2}{2bc}\)

Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore \(a=11\).

Let \(A=x,a=11,b=8,c=15\). Substitute these values in the above formula.

\(\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}\)

\(\cos x=\dfrac{64+225-121}{240}\)

\(\cos x=\dfrac{168}{240}\)

\(\cos x=0.7\)

Taking cos inverse on both sides, we get

\(x=\cos^{-1} 0.7\)

\(x=45.572996^\circ\)

\(x\approx 45.6^\circ\)

Therefore, the measure of angle x is 45.6°.

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

18 number of daisies and 18 number of roses

Step-by-step explanation:

We are told Darrel has 36 daisies and 54 roses.

And that He wants to put an equal number of daisies and roses into vases.

To get the equal number, it means we have to find the greatest common factor of 36 and 54.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54

From the factors of both 36 and 54, the greatest common factor to both of them is 18.

Thus, the GREATEST number of daisies and roses Darrel can put in each vase is 18 each

Answer:

18

Step-by-step explanation:

Answer:

C. 384

Step-by-step explanation:

Ao we know 1 pound has 16 so to het from 1 to 24 is times 24 ao 24 times 16 is c.

Answer:

(6, 6)

Step-by-step explanation:

T (-1, 2) = move down 1, right 2

(1, 4) turns into (3, 3)

Dilation scale factor = 2

Multiply x and y value by 2

(3, 3) = (6, 6)

(a) The area of a trapezium is given by the formula:

Area = (1/2) × sum of parallel sides × distance between them

Substituting the given values, we get:

10 = (1/2) × (AB + DC) × h

where h is the perpendicular distance between AB and DC.

We can express h in terms of AB and DC using the Pythagorean theorem, since AD is the height of the right triangle ACD:

AD² + h² = DC²

(x - 1)² + h² = (x + 3)²

x² - 2x + 1 + h² = x² + 6x + 9

h² = 8x + 8

Substituting this value of h² in the equation for the area, we get:

10 = (1/2) × (AB + DC) × (sqrt(8x + 8) / sqrt(1))

10 = (1/2) × (AB + DC) × sqrt(8x + 8)

Substituting the given values of AB and DC in terms of x, we get:

10 = (1/2) × ((3x + 2) + (x + 3)) × sqrt(8x + 8)

10 = (2x + 5) × sqrt(8x + 8)

(2x + 5)² × (8x + 8) = 100

(2x + 5)² × 2(x + 1) = 25

4x² + 4x + 25 = 25

4x² + x - 25 = 0

(b) We can solve the quadratic equation 4x² + x - 25 = 0 using the quadratic formula:

x = [-b ± sqrt(b² - 4ac)] / 2a

where a = 4, b = 1, and c = -25.

Substituting the values, we get:

x = [-1 ± sqrt(1² - 4(4)(-25))] / 2(4)

x = [-1 ± sqrt(401)] / 8

x = (-1 ± 20.025) / 8

x = -3.128 or x = 1.628

Since the length of a side cannot be negative, we reject the negative value of x and take x = 1.628.

Substituting this value of x in the expression for AB, we get:

AB = 3x + 2 = 3(1.628) + 2 = 7.884 ≈ 7.88 cm

Therefore, the length of AB is approximately 7.88 cm, correct to 2 significant figures.

Answer:

18/2 : 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

From the question, we are to write the set of numbers less than or equal to -8 or greater than or equal to 2

Let x represent the set of the numbers

If a number is less than or equal to -8

Then,

-8 is greater than or equal to the number

That is,

-8 ≥ x

If a number is greater than or equal to 2

Then,

x ≥ 2

Thus, the set of all the numbers is

-8 ≥ x ≥ 2

Hence, the set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

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Answer:

10 miles

Step-by-step explanation:

Given

The attached grid

Required

The distance between Oden and Lundy

See attachment for modified grid

From the newly attached grid, we have:

\(d^2 = 6^2 + 8^2\) ---- Pythagoras theorem

This gives:

\(d^2 = 36 + 64\)

\(d^2 = 100\)

Take positive square roots of both sides

\(d = \sqrt{100\)

\(d = 10\)

Hence, the distance is 10 miles

Answer:

length: 20m

width: 10m

(or vice versa)

Step-by-step explanation:

By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:

200=20x10

200=200

60=2(20)+2(10)

60=40+20

60=60

Therefore, the likelihood of getting two even numbers without substitution from a deck of 10 cards with digits 1 through 10 is 2 out of 9.

In most cases, the probability is described as the ratio of positive results compared with all occurrences in the survey region. The formula for probability of recurrence is P(E) = (The total amount of instances that are positive occurrences). (Sample space).

There are 5 even numbers in the set of 10 cards: 2, 4, 6, 8, and 10. The probability of drawing an even number on the first draw is 5/10, or 1/2. After the first card is drawn, there are 4 even numbers remaining in the set of 9 cards.

So the probability of drawing another even number on the second draw, given that the first card was even and was not replaced, is 4/9.

To find the probability of both events occurring (drawing an even number on the first draw and another even number on the second draw), we multiply the probabilities:

P(both even) = (1/2) x (4/9) = 2/9

Therefore, the probability of drawing two even numbers from a set of 10 cards numbered 1 to 10 without replacement is 2/9.

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Answer:

A

Step-by-step explanation:

Answer:

Constant of proportionality,  

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation:                         .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,  

Answer:

Explanation: We have to find the average rate of change in price per month, this problem can be modeled by using the standard equation of the line:

Where y(x) is the house cost as a function of the month and the "m" is defined as follows:

In other words, m is the change in house cost over the change in the months:

Conclusion: Therefore the average change in the cost per month is as follows;

The standard equation that can model it is as follows:

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

\(- 2x^2 +19x -24\)

Step-by-step explanation:

Given

\((5x + 8 - 6x)(4 + 2x - 7)\)

Required

Evaluate

We have:

\((5x + 8 - 6x)(4 + 2x - 7)\)

Collect like terms

\((5x - 6x+ 8 )(4 - 7+ 2x )\)

\((- x+ 8 )(- 3+ 2x )\)

Expand

\(3x - 2x^2 -24 + 16x\)

Rewrite as:

\(- 2x^2 + 3x+ 16x -24\)

\(- 2x^2 +19x -24\)

Step-by-step explanation:

Hi, there!!!

According to the question we must find the area of shaded region, but we must find area of circle and rectangle to find area of shaded region,

So, let's simply work with it,

Firstly, finding the area of rectangle,

length = 11cm.

breadth = 11cm.

now, area= length× breadth.

or, a = 11cm× 11cm.

a= 121cm^2

Now, let's work out the area of circle.

radius= 5cm

and pi. = 3.14 {using pi value as 3.14}

now,

area of a circle = pi× r^2

or, a= 3.14×5^2

or, a = 78.5 cm^2.

Therefore, The area of a circle is 78.5cm^2.

Now lastly finding the area of shadedregion,

area of shaded region = area of rectangle - area of circle.

or, area of shaded region = 121cm^2 - 78.5cm^2

Therefore, the area of shaded region is 42.5 cm^2.

Hope it helps...