Lashonda does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 7 hours. She spends at most 5 hours on weight training. She spends at most 11 hours doing cardiovascular work. Let × denote the time (in hours) that Lashonda spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answer: Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.

Step-by-step explanation:

To estimate how many people to expect in the Fiction and Literature section on Sunday, we can assume that the proportion of visitors to each section remains the same as it was on Saturday.

First, we need to calculate the total number of visitors on Saturday:

433 (Youth Wing) + 335 (Social Issues) + 367 (Fiction and Literature) = 1135

Next, we can find the proportion of visitors to the Fiction and Literature section:

367 (Fiction and Literature) / 1135 (total visitors on Saturday) ≈ 0.323

We can use this proportion to estimate the number of visitors to the Fiction and Literature section on Sunday:

0.323 (proportion of visitors to Fiction and Literature) x 600 (total visitors on Sunday) ≈ 194

Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.

Answer:

The total surface area of the cuboid is 280.

Length: 5 cm

Width: 6 cm

Height: 10 cm

Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))

SATotal = 2*((l*h)+(h*w)+(l*w)) --> 2*((5*6)+(6*10)+(5*10))

SATotal = 280

The solution to the system is (x,y) = (48,19).

To find the solutions to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously. One way to do this is to set the two expressions for y equal to each other and solve for x:

2/3x−5 = 1/2x+3

Multiplying both sides by 6 (the least common multiple of 3 and 2) to clear the fractions, we get:

4x - 30 = 3x + 18

Simplifying, we get:

x = 48

Now that we know x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:

y = 2/3(48) - 5 = 19

So the solution to the system is (x,y) = (48,19).

Since there is exactly one solution, the answer is (D) 1 solution.

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The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

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Answer:

Step-by-step explanation:

The two shorter sides are 52 cm in length

The two longer sides are 1.5 times the length of the shorter sides

= 52 x 1.5 = 78 cm

The two longer sides are 78 cm in length

Now, just add all the sides

52 + 52 + 78 + 78 = 260

The perimeter is 260 cm.

Answer:

Function.

Step-by-step explanation:

This graph is a function because all points on the line are different and do not intersect. (vertical line test)

Hope it helped!

Step-by-step explanation:

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]

To find sin(a),

[tex] \sin( \alpha ) = \sqrt{1 - \cos {}^{2} ( \alpha ) } [/tex]

[tex] \sin( \alpha ) = \sqrt{1 - (0.6) {}^{2} } [/tex]

[tex] \sin( \alpha ) = \sqrt{0.64} [/tex]

Since sin is negative in the interval (270,360)

[tex] \sin( \alpha ) = - 0.8[/tex]

Now we can find sin(2a)

[tex]2( - 0.8)(0.6) = - 0.96[/tex]

2. The identity for cos(2x) is

[tex]2 \cos {}^{2} (x) - 1[/tex]

We know cos x is 0.6 so we get

[tex]2(0.6) {}^{2} - 1 = - 0.28[/tex]

part 3:

[tex] \tan(4x) = \frac{2 \tan(2x) }{1 - \tan {}^{2} (2x) } [/tex]

[tex] \tan(2x) = \frac{ \sin( 2x) ) }{ \cos(2x) } = \frac{ - 0.96}{ - 0.28} = 24[/tex]

So we end up getting,

[tex] \tan(4x) = \frac{2(24)}{1 - (24) {}^{2} } [/tex]

[tex] \tan(4x) = \frac{48}{1 - 576} [/tex]

[tex] \tan(4x) = - \frac{48}{575} [/tex]

Repost the question, I made a computational mistake.

Company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants. The solution has been obtained by using linear equation.

What is a linear equation?

The degree of the linear equation is 1. It is very clear that linear equations with exponents greater than one lack variables. The equation for this graph yields a straight line.

Let S be the bags of seedlings, G be for general potting, and H be for hardwood plants.

It is given that each bag of seedling soil needs 2 units of sand, each bag of general soil needs 1 unit of sand, and each bag of hardwood soil needs 2 units of sand. We have 450 units of sand.

So, from this we get

2S + G + 2H = 450      ...(1)

Similarly, for units of loam and peat moss, we get the equations as

S + 2G + 2H = 450      ...(2)

S + G + 2H = 360         ...(3)

Now, on subtracting (3) from (2), we get

G = 110

On substituting this, we get

2S + 2H = 360    ...(4)

S + 2H = 230    ...(5)

S + 2H = 250    ...(6)

Now, we subtract (2) from (1), we get

S = 130

On substituting this in equation (5), we get

130 + 2H = 230

2H = 100

H = 50

Hence, company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants.

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The scale factor of the dilation that takes P to Q is,

⇒ 4/5

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ Quadrilateral P and Q are similar.

Hence, The scale factor of the dilation that takes P to Q is,

⇒ 2 / 2.5

⇒ 20 / 25

⇒ 4/5

Thus, The scale factor of the dilation that takes P to Q is, 4/5.

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In 2004, as per the run, the distance to the nearest tenth of a mile is 3.11 miles.

The distance that Kenenisa Bekele of Ethiopia ran in 2004 is equal to 5,000 meters, which is equivalent to 3.11 miles to the nearest tenth of a mile. To calculate this distance, you can use a simple conversion formula.

To convert meters to miles, you need to divide the number of meters by 1609.34.

In this case, we would divide 5,000 meters by 1609.34, which gives us 3.11 miles.

=> 5000/ 1609.34 = 3.11 miles.

This is the total distance that Kenenisa Bekele ran in 2004 to the nearest tenth of a mile.

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The binary conversion of 2 is 10.

In binary, there are only two possible digits, 0 and 1. Each digit in a binary number represents a power of 2, with the rightmost digit representing 2^0 (which is 1), the second digit representing 2^1 (which is 2), the third digit representing 2^2 (which is 4), and so on.

So in the binary number 10, the rightmost digit represents 2^0, which is 1, and the second digit represents 2^1, which is 2. Adding these two powers of 2 together gives a total value of 2 in binary.

To convert a decimal number to binary, you can divide the number by 2 and record the remainder at each step until the quotient is 0. Then, the binary number is simply the remainders read in reverse order. In this case, 2 divided by 2 is 1 with a remainder of 0, so the first digit of the binary number is 0. 1 divided by 2 is 0 with a remainder of 1, so the second digit of the binary number is 1. Therefore, the binary conversion of 2 is 10.

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Therefore , the solution of the given problem of equation comes out to be y = (-1/5)x + 4 is the required equation.

The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.

Here,

The given equation of line j is y+5=5(x+5) which can be rewritten in slope-intercept form as y = 5x + 20.

Since line k is perpendicular to line j, the slope of line k will be the negative reciprocal of the slope of line j. The slope of line j is 5, so the slope of line k will be -1/5.

We are also given that line k includes the point (5,3). We can use this point and the slope of line k to find the equation of line k using point-slope form:

y - 3 = (-1/5)(x - 5)

Simplifying and rearranging, we get:

y = (-1/5)x + 4

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A tablespoon is a volume measurement unit based on a piece of flatware (symbol: Tbsp). The value of 4 tablespoons is equivalent to 0.25 cups.

A metric tablespoon is exactly 15 mL, but a tablespoon in the United States is around 14.8 mL.

In both the imperial and American customary systems of measurement, a cup is a unit of volume.

250 millilitres is the definition of a metric cup.

There are 4.25 tablespoons in 0.25 cups (4 tbsp).

You may use the formula below to convert tablespoons to cups:

16 tablespoons make create a cup.

So, you may divide 4 by 16 to convert 4 tablespoons to cups:

4 tbsp / 16 tbsp/cup equals 0.25 cups.

Hence, 4 tablespoons are equal to 0.25 cups.

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to determine the stability of the equilibrium solutions Consider the autonomous differential equation

dydt=f(y).

The equilibrium solutions are obtained by solving

f(y)=0 for y.

Let

c1,c2,⋯,cn

be the equilibrium solutions.

Plot

c1,c2,⋯,cn

on the real number line, and create a phase line using the signs of

f(y)

by drawing a left arrow on the interval where

f(y)<0

, and right arrows where

f(y)>0.

Use the phase line to determine the stability of the equilibrium solutions as follows.

If both arrows point toward the equilibrium solution, it is stable.

If both arrows point away from the equilibrium solution, it is unstable.

If one arrow points towards the equilibrium solution and one points away from it, it is semi-stable.

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Answer: $275,000

Step-by-step explanation:

The exact answer without rounding is 166.276877527

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Answer:

y= 400(0.77)^x

Step-by-step explanation:

The value decreases by 23% from,400 to 308 in 1 year. so if this continues then the equation would be y=400(0.77)^x.

The 0.77 comes from decaying 23%, meaning 1-0.23 = 0.77

this is just a quick addition to the good reply above by "varnanaik"

so she bought it for 400 bucks, but hell a year later went down to 308?  Let's find the rate of depreciation

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 308\\ P=\textit{initial amount}\dotfill &\$400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]308 = 400(1 - \frac{r}{100})^{1} \implies \cfrac{308}{400}=1-\cfrac{r}{100}\implies \cfrac{77}{100}=\cfrac{100-r}{100} \\\\\\ 77=100-r\implies r+77=100\implies r=\stackrel{ \% }{23} \\\\[-0.35em] ~\dotfill\\\\ A=400(1-\frac{23}{100})^x\implies A=400(1-0.23)^x\implies {\Large \begin{array}{llll} A=400(0.77)^x \end{array}}[/tex]

The correct answer as per the video that demonstrates the Monty Hall Problem is option C. 20. That is how many times the men perform each strategy A and B.

Goats can be found behind two curtains and one behind each door.

Anytime a contestant selects a curtain, one of the certain to curtains informs the contestant that a goat was hiding behind all of this.

The contestant must choose one of two curtains, one of which has a car in it and the other of which has a goat on it. Therefore, there is an equal chance of. choosing either a goat or a car.

Similar to that, provided.

Probability A for strategies and tactics is 10%, or 2 out of every 20 trials.

80% of Strategy B's chance is equal to 16 accomplishments spread across 20 directions.

Thus,

16 success = 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success

Taking the common factor,

16 success = 8 (2 success)

Taking percentage on both sides,

80% = 8×10%

80% = 80%

Hence, the result value is as expected.

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Note that the full question is:

This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?

A. 3

B. 10

C. 20

D. 40

Jade was 416 meters above the ground when she deployed her canopy.

What is kinematics?

kinematics, specifically the equation of motion for constant velocity, to solve the problem of finding the height above the ground when a person deploys their canopy while descending.

We can use the formula:

height = rate x time

To determine how high Jade was above the ground when she deployed her canopy. Let's denote the height she was at when she deployed her canopy as "h".

From the given information, we know that Jade descended at a constant rate of 40 meters every 5 seconds, so her rate of descent is 40/5 = 8 meters per second.

We also know that it took her exactly 57 seconds to reach the ground. Therefore, the time she spent descending with her canopy deployed is 57 - 5 = 52 seconds.

Using the formula, we can write:

h = 8 x 52

Simplifying this equation gives us:

h = 416

Hence, Jade was 416 meters above the ground when she deployed her canopy.

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Here  is a scatter plot that compares hits to at bats for players on a baseball team, as the number of bats increase, the number of hits increases.

A scatter plot is also known as a scatter chart, scattergram, or XY graph. The scatter diagram plots numerical data pairings, one variable on each axis, to demonstrate their connection. Today everyone is wondering when to utilise a scatter plot.

Scatter plots are used in the following scenarios.

When we have numerical data that is paired

When there are several dependent variable values for a single independent variable value

In some instances, such as finding probable root causes of issues, evaluating if two items that appear to be connected both arise with the same precise reason, and so on.

The points will fall along a line or curve if the variables are correlated. The closer the points are to the line, the better the connection. One of the seven key quality tools is this cause examination tool.

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Answer: $12.50

Step-by-step explanation:

10% of 12.50 is 1.25

add and get 13.75

The conversion of 28 inch to cm is 71.12 cm.

Kilometer (km) and mile are both units of distance or length, but they are used in different parts of the world.

A kilometer is a metric unit of length used in most countries outside the United States. It is defined as 1,000 meters, or approximately 0.62 miles.

To convert inches to centimeters, you can use the conversion factor of 1 inch = 2.54 centimeters.

So, to convert 28 inches to centimeters, you can multiply 28 by 2.54:

28 inches * 2.54 cm/inch = 71.12 cm

Therefore, 28 inches is approximately equal to 71.12 centimeters.

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Answer:

4√3 or 6.9282Km

Step-by-step explanation:

Let the triangle be ABC, right angled at B

Angle A = 60 degrees

Angle C = 30 degrees

BC = 6 km

To find AB,

Tan30°=AB/BC

Now we know that tan30° is 1/√3 so,

1/√3 = AB / 6

6/√3 = AB

6√3/3 =AB

2√3 = AB

Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g

AB² + BC² = AC²

(2√3)² + 6² = g²

12 + 36 = g²

48 = g²

Therefore g = √48km or 4√3km or 6.9282Km

Answer:

Jessica rode her bike 16 miles per week and Pablo rode his bike 17 miles per week.

Step-by-step explanation:

Answer:

Jessica's and Pablo's statement both are correctly comparing the number of miles they rode per week.

Step-by-step explanation:

You are told that Jessica rode her bicycle for 128 miles in 8 weeks and equally the same distance each week.

Therefore you can easy tell how much she rode her bicycle for 8 weeks by dividing 128 by 8 which is 16miles per week

While in Pablo's statement tell us the same as Jessica's statement since you can divide it like Jessica's statement 95 divided by 5 equals 19miles per week

Answer:

To find your answer, you will divide 252  by 123, and then multiply it by 10:

252 / 12 = 21

21 * 10 = 210

210 soft drinks are required.

Step-by-step explanation:

Hope it helps! =D