Unit 7 polygons and quadrilaterals homework three rectangles? 10

To convert units of capacity, you need to know the conversion factors between the units. So,  9pt(Pints) = 4.5qt(Quarts).

To convert units of capacity, you need to know the conversion factors between the units. Here are some common units and their conversion factors:
1 liter (L) = 1000 milliliters (mL)
1 gallon (gal) = 3.785 liters (L)
1 quart (qt) = 0.946 liters (L)
1 pint (pt) = 0.473 liters (L)
To convert from one unit to another, you can use these conversion factors. For example, to convert 2 liters to milliliters, you would multiply by 1000:
2 L x 1000 mL/L = 2000 mL
Similarly, to convert 5 gallons to liters, you would multiply by 3.785:
5 gal x 3.785 L/gal = 18.925 L

So,  9pt(Pints) = 4.5qt(Quarts).

For more such questions on conversion factors , Visit:

https://brainly.com/question/97386

#SPJ11

The complete question is :

How to convert the unit into capacity.

What will be the conversion of 9 pt (Pints) = ? qt(Quarts)?

a) Based on this sample, we could expect 3,316 registered voters to vote for Brown.

b) Based on this sample, we could expect 6,441 registered voters to vote for Feliz.

c) Based on this sample, 640 registered voters are still undecided.

a) To estimate the number of registered voters who would vote for Brown, we multiply this proportion by the total number of registered voters in Raleigh (10,400). This gives us 0.3182 * 10,400 ≈ 3,315.

So, based on this sample, we could expect approximately 3,315 registered voters to vote for Brown.

b) To estimate the number of registered voters who would vote for Feliz, we multiply this proportion by the total number of registered voters in Raleigh (10,400). This gives us 0.6200 * 10,400 ≈ 6,428.

So, based on this sample, we could expect approximately 6,428 registered voters to vote for Feliz.

c) To estimate the number of undecided voters among all registered voters, we multiply this proportion by the total number of registered voters in Raleigh (10,400). This gives us 0.0618 * 10,400 ≈ 641.

learn more about estimate at https://brainly.com/question/107747

#SPJ1

The slope of the red line is -1/2

We have,

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Here, we have

Two lines are parallel. Two lines are shown by the color green and red line.

As we know if lines are parallel then their slope is equal.

We are given a green line parallel to the red line.

The slope of the green line is -1/2

But The slope of the red line = slope of the green line.

The slope of the red line = -1/2

Hence, The slope of the red line is -1/2.

To learn more about the slope from the given link

brainly.com/question/25722412

#SPJ1

Answer:

The equation in slope-intercept form that models the situation is:

y = 6x + 50

In this equation, x represents the number of classes attended and y represents the total cost. The slope of 6 means that for each class attended, the cost increases by $6, and the y-intercept of 50 represents the fixed annual fee.

Step-by-step explanation:

Answer:

  -21

Step-by-step explanation:

You want the minimum of f(x) = x² -8x -5.

The minimum of the function is found at the vertex of its graph. That vertex lies on the line of symmetry. There are several ways you can find its coordinates.

The vertex form of the function's equation is ...

  f(x) = (x -h)² +k . . . . . . vertex at (h, k); k is the minimum value of f(x)

Expanding this form gives ...

  f(x) = x² -2hx +h² +k

The value of h will be half the opposite of the x-coefficient:

  h = -1/2(-8) = 4

This tells us ...

  h² +k = -5 = 4² +k

  k = -5 -16 = -21

The minimum value is -21.

The line of symmetry of the quadratic ax²+bx+c is x = -b/(2a). Here, that means ...

  x = -(-8)/(2·1) = 4

Then the minimum value of the function is ...

  f(4) = 4² -8·4 -5 = (4 -8)·4 -5 = -16 -5

  f(4) = -21 . . . the minimum value

We find the easiest way to determine the minimum is to graph the function using a graphing calculator. The result is shown in the attachment. The minimum is -21.

__

Additional comment

With a little bit of practice, you can find h²+k = c  ⇒  k = c -(b/2)² using mental arithmetic.

#95141404393

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{9} \end{cases} \\\\\\ y=\sqrt{ 7^2 + 9^2}\implies y=\sqrt{ 49 + 81 } \implies y=\sqrt{ 130 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{\sqrt{130}}\\ o=\stackrel{opposite}{6} \end{cases} \\\\\\ x=\sqrt{ (\sqrt{130})^2 + 6^2}\implies x=\sqrt{ 130 + 36 } \implies x=\sqrt{ 166 }\implies x\approx 12.9[/tex]

Answer:

The first brother will have x = d / 5 amount of money and the second brother will have ( 4 / 5 )d amount of money.

Step-by-step explanation:

The speed of the plane in calm air is 372 km/h

Given that a plane is flying from Winnipeg to Calgary against a strong headwind of 50 km/hr.

The plane 1/2 takes hour longer for this flight than it would take in calm air.

1200 km is the  distance from Winnipeg to Calgary

We have to find the speed of the plane in calm air

x be the speed of the plane in calm air and the time be y

xy=1200

(x-50)(y+1/2) =1200

x² - 50 x-12000=0

x=372 as x>0

Hence, 372 km/h is the speed of the plane in calm air

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ1

a. The expected value is $12

b. She is expected to win money

To find the expected value of playing the game, we need to calculate the average value of the winnings or losses.

(a) Expected Value:

The probability of drawing an even-numbered card is 5/10 (since there are 5 even-numbered cards out of 10), and the probability of drawing an odd-numbered card is also 5/10.

If Leila draws an even-numbered card, she wins an amount equal to the value of the card. So the expected value of winning is:

(5/10) * (2 + 4 + 6 + 8 + 10) = (5/10) * 30 = 15/10 = $15

If Leila draws an odd-numbered card, she loses $6. So the expected value of losing is:

(5/10) * (-6) = -3

To find the overall expected value, we subtract the expected value of losing from the expected value of winning:

Expected value = (15) + (-3) = 12

Therefore, the expected value of playing the game is $12

(b) In the long run, after playing the game many times, Leila can expect to lose money. Since the expected value is positive $12 , on average, she will win $12 per game.

Learn more on expected value here;

https://brainly.com/question/14723169

#SPJ1

Answer:

.....

Step-by-step explanation:

The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Substituting the given values, we get:

V = π(4^2)(8)

V = π(16)(8)

V = 128π cubic units

Using a calculator to approximate π to 3.14, we get:

V ≈ 128 x 3.14

V ≈ 401.92 cubic units

Therefore, the volume of the cylinder is approximately 402 cubic units. None of the given answer choices is correct.

Answer:

Step-by-step explanation:

Surface Area = 2 pi radius x radius

The volume of this figure is equal to 16.75 cm³.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

Volume of cone, V =  1/3 × π × 2² × 4

Volume of cone, V =  1/3 × π × 4 × 4

Volume of cone, V =  1/3 × 3.14 × 16

Volume of cone, V =  16.75 cm³

Read more on cone here: https://brainly.com/question/27604827

#SPJ1

The selling price of the item at 10% marlkup is $55

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

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

Read more about markup at

https://brainly.com/question/6500465

#SPJ1

Notes are commonly issued on discounted value when the issuer needs to raise funds quickly and is willing to accept a lower price for the note in exchange for immediate cash.

Notes can be issued either at their face value or at a discounted value.

A note is issued at its face value, the price of the note is the same as the face value of the note.

This is known as issuing the note at par value or face value.

A note is issued at a discounted value, the price of the note is lower than the face value of the note.

This is known as issuing the note at a discount.

The difference between the face value of the note and the discounted value is called the discount.

The investor who purchases the note at a discounted value will receive the face value of the note when it matures.

Notes may be issued at face value or at a discount from that amount.

The price of a note is equal to its face value when it is issued, or at face value.

The note will then be issued at face value or par value.

A note is sold for less than its face value when it is issued at a reduced price.

This is referred to as discounting the note's issuance.

The discount is the amount that separates the note's face value from its reduced value.

The face value of the note will be paid to the investor who paid the reduced price when the note matures.

For similar questions on discounted value

https://brainly.com/question/31500957

#SPJ11

Answer:

a quadrilateral with double arrows going in the same direction for one pair of the opposite sides

Step-by-step explanation:

A trapezoid has 1 pair of opposite sides parallel, and one pair of opposite sides not parallel.

Answer: a quadrilateral with double arrows going in the same direction for one pair of the opposite sides

There are 355 people in the poll liked to ski or​ snowboard.

We have to given that;

A winter resort took a poll of its 375 visitors to see which winter activities people enjoyed.

And, The results were as​ follows: 246 people liked to​ ski, 206 people liked to​ snowboard, and 97 people liked to ski and snowboard.

Hence, We get;

P (S) = 246

P (Sn) = 206

P (S ∩ Sn) = 97

So, We get;

⇒ P (S ∪ Sn) = P (S) + P (Sn) - P (S ∩ Sn)

⇒ P (S ∪ Sn) = 246 + 206 - 97

⇒ P (S ∪ Sn) = 355

Hence,

The number of people = 355

To learn more about set theory visit:

https://brainly.com/question/30764677

#SPJ1

The widht of the photograph is 6 inches.

We know that the width of the photograph is x, and the area of the photoghraph is given by the formula:

A = x*(x + 2)

And we know that the are is 48 square inches, then we can write the quadratic equation:

48 = x*(x + 2)

We can solve the quadratic to get:

48 = x² + 2x

x² + 2x - 48 = 0

Using the quadratic formula we get:

[tex]x = \frac{-2 \pm \sqrt{2^2 - 4*1*-48} }{2}\\ \\x = \frac{-2 \pm14 }{2}[/tex]

The positive solution is the one we care about, which is:

x = (-2 + 14)/2 = 6

The width is 6 inches.

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

Solution:

(g o g)(x) = -((-x^2 + 5)^2) + 5

Answer:

(g o g)(x) = -x^4 + 10x^2 - 20

The calculated value of the length of the segment MO in the triangle is 24 units

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

The simiar triangles

Using the theorem of corresponding sides, we hav

MO/15 = 20.8/13

Multiply both sides by 15

So, we have

MO = 15 * 20.8/13

Evaluate

MO = 24

Hence, the missing side length in the triangle is 24

Read more about triangle at

https://brainly.com/question/14285697

#SPJ1

The key features of this quadratic relation y = -3x² - 24x - 36 include;

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.

Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).

When x = 0, the y-intercept can be determined as follows;

y = -3x² - 24x - 36

y = -3(0)² - 24(0) - 36

y = -36

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-24)/2(-3)

Axis of symmetry, Xmax = -4

For the vertex, we have:

y(-4) = -3x² - 24x - 36

y(-4) = -3(-4)² - 24(-4) - 36

y(-4) = 12

In conclusion, the quadratic function has a maximum value at 12.

Read more on quadratic functions here: brainly.com/question/29499209

#SPJ1

The ratio of the new volume to the old volume will be 3:1, the correct option is D.

We are given that;

The measurements= 9 cm*5 cm*3 cm

Now,

To find the volume of a rectangular prism, we can use the formula V = lwh, where l is the length, w is the width, and h is the height. Using the given dimensions, we get:

V = lwh V = 9 * 5 * 3 V = 135 cm^3

To find the new volume after tripling the width, we can use the same formula but replace w with 3w. We get:

V’ = l * 3w * h V’ = 9 * 3 * 5 * 3 V’ = 405 cm^3

To find the ratio of the new volume to the old volume, we can divide V’ by V and simplify. We get:

V’ / V = (405 cm^3) / (135 cm^3) V’ / V = 3

To write the ratio in the form of a fraction, we can use 1 as the denominator of V. We get:

V’ / V = 3 / 1

Using these steps, I found that the ratio of the new volume to the old volume will be 3:1.

Therefore, by the given rectangular prism the answer will be 3:1.

Learn more about a rectangular prism;

https://brainly.com/question/21308574

#SPJ1

As the hint says, the arc is only part of the whole circle. More specifically, it is 90 degrees of the circle (90 / 360 = 1 / 4) or 1/4 of the circumference.

Circumference = pi x diameter

C = pi x 24 = 24pi

1/4 of C = 6pi

Answer: AB = 6pi

Hope this helps!

By using definition of area of Trapezoid, The area of garden is,

⇒ Area = 504 feet²

We have to given that;

A raised garden is shown below.

Since, The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, Garden is in shape of trapezoid.

And, Bases of garden are,

⇒ a = 26 feet

⇒ b  = 32 feet

Height of garden is,

⇒ h = 18 feet

Since, We know that;

Area of trapezoid is,

A = (a + b) h/2

Where, a and b are base and h is height

Hence, We can formulate;

The area of garden is,

Area = (24 + 32) × 18 / 2

Area = 504 feet²

Therefore, The area of garden would be,

⇒ Area = 504 feet²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

All the values in triangle are,

∠V = 100.5°

And, Sides are, u = 85.06

v = 154.36

Given that;

A triangle is shown in image.

Now, By triangle UVW,

Sum of interior angle are 180 degree

Hence,

∠U + ∠V + ∠W = 180°

32.6° + ∠V + 46.9° = 180°

∠V = 180° - 79.5°

∠V = 100.5°

Now, By sin rule;

Sin U / u = Sin W / w

sin 32.6 / u = sin 46.9 / 115

0.54 / u = 0.73/115

0.54 x 115 / 0.73 = u

u = 85.06

And, WE have;

sin V / v = Sin U / u

sin 100.5° / v = sin 32.6/ 85.06

0.98 / v = 0.54 / 85.06

0.98 x 85.06 / 0.54 = v

v = 154.36

Thus, All the values in triangle are,

∠V = 100.5°

u = 85.06

v = 154.36

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

The solution to the expression (4x - 5) - 3(26/3 + 5/3) is 4x - 36

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

(4x-5)-3(26/3+5/3)

Express properly

So, we have

(4x - 5) - 3(26/3 + 5/3)

Evaluating the like terms, we have

(4x - 5) - 3(26/3 + 5/3) = (4x - 5) - 3(31/3)

When the brackets are opened, we have

(4x - 5) - 3(26/3 + 5/3) = 4x - 5 - 31

So, we have

(4x - 5) - 3(26/3 + 5/3) = 4x - 36

Hence, the solution is 4x - 36

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

The Equation of the line of fit passing through the points (3, 5) and (5, 7) is y = x + 2, which appears to be a good fit .

To determine which two points a line of fit would go through to best fit the given data, we need to look for the pair of points that show a strong linear relationship between the two variables (in this case, the x and y values).

We can start by plotting the given points on a graph and observing the general pattern of the data.

From the scatter plot, it appears that the data points form a roughly linear pattern, sloping downwards from left to right. We can see that the points (1, 9) and (9, 5) are at the extremes of the x-axis and y-axis respectively, and may not be the best choice for a line of fit. Similarly, the points (2, 7) and (6, 5) are not aligned as well with the trend of the data.

However, the points (3, 5) and (5, 7) appear to be well aligned with the general trend of the data and show a strong linear relationship. Therefore, the best pair of points for a line of fit would be (3, 5) and (5, 7).

We can find the equation of the line of fit passing through these two points using the slope-intercept form of a linear equation:

y = mx + b

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

The slope of the line passing through (3, 5) and (5, 7) can be calculated as:

m = (y2 - y1) / (x2 - x1) = (7 - 5) / (5 - 3) = 1

Using the point-slope form of a linear equation, we can then find the y-intercept b:

y - y1 = m(x - x1)

y - 5 = 1(x - 3)

y - 5 = x - 3

y = x + 2

Therefore, the equation of the line of fit passing through the points (3, 5) and (5, 7) is y = x + 2, which appears to be a good fit for the given data.

To know more about Equation of the line.

https://brainly.com/question/18831322

#SPJ11

Answer:

2, 7 AND 6, 5

Step-by-step explanation:

I left capitals on ;(

Answer:

The answer is B, also could I get brainliest, I am trying to get to the next level :D!

Step-by-step explanation:

The volume of a rectangular prism is calculated by multiplying its length, width, and height. The volume of the rectangular prism shown is 4m x 5m x 10m = 200 cubic meters.

Out of the given options, option B has the same volume as the rectangular prism shown. The volume of option B is 2m x 5m x 20m = 200 cubic meters.

The three final discount dates are 28 January, 7 February, and 17 February, and the net payment date is 9 March, based on the given invoice terms.

To determine the three final discount dates and the net payment date based on the invoice terms provided (6/10, 4/20, 1/30, n/50), we need to understand the meaning of the terms.

The format for these terms is a discount percentage followed by the number of days within which the discount can be availed. The final discount date is calculated by adding the specified number of days to the invoice date, while the net payment date is determined by adding the maximum number of days for payment.

Given that the invoice is dated 18 January, we can calculate the final discount dates and net payment date as follows:

6/10: This term offers a 6% discount if paid within 10 days. The final discount date is calculated by adding 10 days to the invoice date (18 January + 10 days), resulting in 28 January.

4/20: This term offers a 4% discount if paid within 20 days. The final discount date is calculated by adding 20 days to the invoice date (18 January + 20 days), resulting in 7 February.

1/30: This term offers a 1% discount if paid within 30 days. The final discount date is calculated by adding 30 days to the invoice date (18 January + 30 days), resulting in 17 February.

n/50: This term does not specify a discount percentage but offers a payment period of 50 days. The net payment date is calculated by adding 50 days to the invoice date (18 January + 50 days), resulting in 9 March.

The three final discount dates are 28 January, 7 February, and 17 February, and the net payment date is 9 March, based on the given invoice terms.

For more such questions on invoice

https://brainly.com/question/31302999

#SPJ8

a) We estimate that there are approximately 4700 rings weighing between 1.4 g and 3 g of gold. b) Because we are using the histogram to approximate the number of rings in each mass range, the value we calculated in part a) is only an estimate.

a) To estimate the number of rings that contain between 1.4 g and 3 g of gold, we need to find the area of the bars in the histogram that correspond to this range. We can do this by multiplying the height of each bar by its width and adding up the results.

From the histogram, we can see that the height of the bar for the range 1.4 g to 2 g is 44 and its width is 50, while the height of the bar for the range 2 g to 3 g is 25 and its width is 100. So, the estimate for the number of rings that contain between 1.4 g and 3 g of gold is:

44 × 50 + 25 × 100 = 2200 + 2500 = 4700

Therefore, we estimate that there are around 4700 rings that contain between 1.4 g and 3 g of gold.

b) Because we are using the histogram to approximate the number of rings in each mass range, the value we calculated in part a) is only an estimate.

The frequency density is represented by the histogram, which is the frequency divided by the width of each bar. To calculate the true frequency, multiply the frequency density by the width of the bar. This, however, assumes that the mass of gold in each ring is distributed evenly across the range of the bar, which may not be the case.

Learn ore about histogram at https://brainly.com/question/28164315

#SPJ1

Triangle MNO maps onto triangle UNV. This is possible because ΔΜΝΟ = ΔUNV by ASA and and one congruent figure can be mapped onto another using rigid motions.

The Angle-Side-Angle (ASA) congruence theorem states that if any of the two angles on a triangle are the same, along with the side between them, then the two triangles are congruent.

For this problem, we have that NO is congruent to NV, with the equivalent angle measures, hence the ASA congruence theorem is used.

As the side lengths of the figure remain constant, rigid motions are used.

More can be learned about congruence theorems at brainly.com/question/3168048

#SPJ1