Explain why all squares must be rectangles but not all rectangles are squares

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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The new mixture contains 34% peanuts.

Using a weighted average approach.

Let x be the percentage of peanuts in the new mixture. Then we can set up the following equation:

(0.16)(4) + (0.40)(12) = x(4 + 12)

simplifying the equation, we get:

0.64 + 4.8 = 16x

5.44 = 16x

x = 0.34 or 34%

Therefore, the new mixture contains 34% peanuts.

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The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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Answer:

\(74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001\)

\(74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}\)

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

\(7 = 7 * 10\)

\(4 = 4 * 1\)

\(0 = 0 * 0.1\)

\(5 = 5 * 0.01\)

\(2 = 2 * 0.001\)

Bring these together,

\(74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001\)

In Fraction

\(74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001\)

Convert decimals to fraction

\(74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}\)

\(74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}\)

The volume of the cylinder from the rectangle is the size of the cylinder

The rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

Let the dimension of the rectangle be x and y.

So, the perimeter (P) is:

\(P = 2 * (x + y)\)

The perimeter is given as 18.

So, we have:

\(2 * (x + y) = 18\)

Divide both sides by 2

\(x + y = 9\)

Make y the subject

\(y = 9 - x\)

The volume of a cylinder is:

\(V = \pi r^2h\)

So, we have:

\(V = \pi x^2(9 -x)\)

Expand

\(V = \pi(9x^2 -x^3)\)

Differentiate

\(V' = \pi(18x -3x^2)\)

Set to 0

\(\pi(18x -3x^2) = 0\)

Divide both sides by \(\pi\)

\(18x -3x^2 = 0\)

Divide both sides by 3x

\(6 -x = 0\)

Make x the subject

\(x = 6\)

Recall that:

\(y = 9 - x\)

So, we have:

\(y = 9 - 6\)

\(y = 3\)

Hence, the rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

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Answer:

tell your grandma your sorry

Step-by-step explanation:

Answer:

Blame it on your dog :)

Step-by-step explanation:

The product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.

If two secant segments are drawn to a circle from an exterior point, the product of the measurements of one secant segment and its external secant segment is equal to the product of the measurements of the second secant segment and its external secant segment.

So, we know that:

BE * AE = CE * DE

Now, insert the values as follows:

(x+1) * (x+12) = (x+4) * (x+5)

x² + x + 12x + 12 = x² + 4x + 5x + 20

13x + 12 = 9x + 20

4x = 8x

x= 2

Then: x = 2 units

Therefore, the product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.

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Answer:

670,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

670,000

Step-by-step explanation:

Here's a tip to help you remeber

5 or more let it score

4 or less let it rest

That means that if the last number is 5 or if it's greater than 5 it will round up. But if it's 4 or less than 4 it will round down.

If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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Answer:

It could be 14M.

Step-by-step explanation:

A to B is similar length, so that is why it could be 14M.

Step-by-step explanation:

$55 - $21=34 and to check answer do 34+21=55

david has 34 dollars less than jumps

Answer:

The 1st option

Step-by-step explanation:

Because x can be anything that's not imaginary and y has to be below 2 always because of the negative value added before the 3. Also it's impossible to reverse the sign of the negative because negative x would only result in 3 becoming a fraction.

Answer:

work is pictured and shown

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Step-by-step explanation:

Given Question

Complete the following tables and plot the points on the graph paper yo represents the equations given below :-

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)

and

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)

\(\large\underline{\sf{Solution-}}\)

Given that,

\(\rm \longmapsto\:y = x + 1\)

On substituting x = 1, we get

\(\rm \longmapsto\:y = 1 + 1\)

\(\rm \longmapsto\:y = 2\)

On substituting x = 2, we get

\(\rm \longmapsto\:y = 2 + 1\)

\(\rm \longmapsto\:y = 3\)

On substituting x = 3, we get

\(\rm \longmapsto\:y = 3 + 1\)

\(\rm \longmapsto\:y = 4\)

Hence,

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf 2 & \sf 3 & \sf 4\\ \\ \sf (x,y)& \sf (1,2) & \sf (2,3) & \sf (3,4)\\ \end{array}} \\ \end{gathered}\)

Now, draw a graph using the points (1 , 2), (2 , 3) & (3 , 4)

---------------------------------------------

Given equation is

\(\rm \longmapsto\:y = - 3x\)

On substituting x = 1, we get

\(\rm \longmapsto\:y = - 3 \times 1\)

\(\rm \longmapsto\:y = - 3\)

On substituting x = 2, we get

\(\rm \longmapsto\:y = - 3 \times 2\)

\(\rm \longmapsto\:y = - 6\)

On substituting x = 3, we get

\(\rm \longmapsto\:y = - 3 \times 3\)

\(\rm \longmapsto\:y = - 9\)

Hence,

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf - 3 & \sf - 6 & \sf - 9\\ \\ \sf (x,y)& \sf (1, - 3) & \sf (2, - 6) & \sf (3, - 9)\\ \end{array}} \\ \end{gathered}\)

Now, draw a graph using the points (1 , - 3), (2 , - 6) & (3 , - 9)

Answer:

11/12

Step-by-step explanation:

no of sample space=12

number of 7 to occur is 1/12

number of not 7:

since the total probability is 1

so 1-1/12=11/12

The first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8 .

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

Decide on your sample size and multiply your population by your chosen sample size to find your interval, k.

the first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8

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Answer:

Solution given:

-2x²+7x-6=0

2x²-7x+6=0

Comparing above equation with ax²+bx+c

we get

a=2

b=-7

c=6

By using Vieta's theorem

X1+X2=\( \frac{-b}{a} \)=\( \frac{7}{2} \)

again

X1X2=\( \frac{c}{a} \)=\( \frac{6}{2} \)=3

Answer:

1

Step-by-step explanation:

slope must be same because it is paralel

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

Answer:

B! Pls mark brainiest!

Step-by-step explanation:

Answer:

Theyre right the answer is B. expirment

Step-by-step explanation:

Took the test just confirming

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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Answer:

12 inches

Step-by-step explanation:

Given

\(\theta = 31^{\circ}\)

\(diagonal = 23.3\ in\)

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

\(sin \theta = \frac{opp}{hyp}\)

This gives:

\(sin 31^{\circ}= \frac{h}{23.3}\)

Make h the subject

\(h = 23.3 * sin(31^{\circ)\)

\(h = 23.3 * 0.5150\\\)

\(h = 11.9995\)

\(h = 12\ inches\)

A rectangle has right angles as its interior angles. Secondly, when you draw a diagonal and has its angle with bottom, then you get a right angled triangle with known angle.
The height of the rectangle is  given by:

Option D: 12 inches

The height of that rectangular canvas.

I have attached a figure below which you can refer.

The triangle ABC is right angled  triangle. Using the sine ratio from angle A's viewpoint:

\(sin(A) = \dfrac{BC}{AC}\\\\ sin(31^\circ) = \dfrac{h}{23.3}\\\\ h \approx 0.515 \times 23.3\\ h \approx 12 \: \rm inches\)

Thus, the height of the specified canvas is 12 inches.

Thus, Option D: 12 inches is correct.

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Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

According to the graph, we have:

- The coordinates of the RSTU square are:

R(-6, 4)

S(-2,4)

T(-2, 8)

U(-6, 8)

- The coordinates of the R'S'T'U' square are:

R'(3, -1)

S'(7, -1)

T'(7, 3)

U'(3, 3)

Therefore, applying the translation rule (x,y) --> (x + a, y + b), so:

- For R

With this we have the following equations:

So, a = 9 and b = -5

Next, the translation rule is given by:

(x, y) ---> (x + 9, y - 5)

Answer: (x, y) ---> (x + 9, y - 5)

Answer:

  57 cm²

Step-by-step explanation:

You have a composite figure and you want to find its area.

There are several ways you can decompose the given figure. Three of them are shown in the attachments. The missing dimensions are found by realizing that the sum of the right-side dimensions is equal to the left-side dimension, and the sum of the bottom-side dimensions is equal to the top dimension.

Extending the vertical boundary line divides the figure into a left rectangle that is 7 cm high and 7 cm wide, and a right rectangle that is 2 cm high and 4 cm wide. This is shown in the first attachment.

The area of each rectangle is the product of its height and width, and the total area is the sum of these:

  Area = (height)×(width) . . . . . area formula for one rectangle

  Area = (7 cm)(7 cm) +(2 cm)(4 cm) = 49 cm² +8 cm² = 57 cm²

Extending the horizontal boundary line divides the figure into a top rectangle 2 cm high and 11 cm wide, and a bottom rectangle 5 cm high and 7 cm wide. This is shown in the second attachment. The total area is ...

  Area = (2 cm)(11 cm) +(5 cm)(7 cm) = 22 cm² +35 cm² = 57 cm²

A line can be drawn corner-to-corner to divide the figure into two trapezoids. This is shown in the third attachment.

The upper right trapezoid has bases 11 cm and 4 cm, and height 2 cm.

The lower left trapezoid has bases 7 cm and 5 cm, and height 7 cm.

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

Then the total area is ...

  Area = 1/2(11 cm +4 cm)(2 cm) +1/2(7 cm +5 cm)(7 cm) = 15 cm² +42 cm²

  Area = 57 cm²

The rectangle that encloses the entire figure is 7 cm high and 11 cm wide, so has an area of ...

  A = HW = (7 cm)(11 cm) = 77 cm²

From that area, the lower right corner space is cut out. It has dimensions 5 cm high by 4 cm wide, so an area of (5 cm)(4 cm) = 20 cm².

The area of the figure itself is the difference between the area of the bounding rectangle and the area of the cut-out space at lower right:

  Area = 77 cm² -20 cm² = 57 cm²

The area of the figure in the picture is 57 cm².

Answer:

9 x 1/12 = 4 1/2