W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?

Answer:

Step-by-step explanation:

50(1+7.25/100)

50(107.25/100)

50(1.0725)

53.625

$53.63

Answer:

The number of pennies, which is also equal to the number of dimes is \(\mbox{\large \boxed{15}}\) .  The number of quarters is \(\mbox{\large \boxed{10}}\)

Step-by-step explanation:

Let the number of pennies = x,

Then number of dimes = x (same as number of pennies)

Let number of quarters = y

Total number of coins = x + x + y = 40

2x + y = 40

The value of each coin is the denomination of each coin multiplied by the number of coins

x pennies = $ 0.01x
x dimes =    $0.10x

y quarters = $0.25y

Total value = 0.01x + 0.10x + 0.25y = 4.15

= 0.11x + 0.25y = 4.15    

Multiply above equation by 4 so the Q term matches that of equation (1)

4(0.11x + 0.25y) = 4 x 4.15

0.44x + 1y = 16.6  (2)

Subtract: Eq(1) - Eq(2):
(2x + y = 40) - (0.44x + y =16.6)

=>     2x+ y (0.44x + y) = 40 - 16.6
=>     2x - 0.44x + y - y = 23.4
=>      1.56x = 23.4

x= 23.4/1.56 = 15

So there are 15 dimes and hence 15 pennies

Since total number of coins is 40
15 + 15 + y = 40

y = 40 - 30 = 10

Hence there are 15 pennies, 15 dimes and 10 quarters

In case you need to fill up the table also here it is

Denomination         Number of Coins       Value
--------------------------------------------------------------------
0.01                                   x                        0.01x
0.10                                   x                        0.10x
0.25                                  y                        0.25y

----------------------------------------------------------------------
                                       40                        4.15

Answer:

Step-by-step

expangle of rotation angular velocity arc length

circular motion radius of curvature rotational motion

spin tangential velocitylanation:

Answer:

B

Step-by-step explanation:

Answer:

Company A

Step-by-step explanation:

She should work for company A because they pay the most. Also because she would earn $308 during 22 hours. Hopes this helps! :)

Answer:

27. Natural number

29. Rational number

31. Rational number

43.

\( \frac{ - 60}{11} < - 3 < \sqrt{11} < 5.5 < \sqrt{31} \)

45.

\( \sqrt{7} < \sqrt{8} < 2.9 < 3 < \frac{10}{3} \)

The answers are a) 1730.485 cm³, b) 1157.33 cm³ and c) 201%

To solve this problem, we need to calculate the volumes of the cylinder and the three balls.

Let's break it down step by step.

a. Volume of the cylinder:

The cylinder's volume can be calculated using the formula V = πr²h, where r is the radius and h is the height.

Since the balls just touch the top, bottom, and sides of the cylinder, we can consider the height of the cylinder to be equal to the diameter of the balls, which is 13 cm.

The radius of each ball is half of the diameter, so the radius of each ball is 13 cm / 2 = 6.5 cm.

Substituting the values into the formula, we get:

V_cylinder = π × (6.5 cm)² × 13 cm

≈ 3.14 × 42.25 cm² × 13 cm

≈ 1730.485 cm³

Rounded to the nearest cubed centimeter, the volume of the cylinder is approximately 1730 cm³.

b. Volume of three balls:

The volume of a sphere can be calculated using the formula

V = (4/3) × πr³.

Since the diameter of each ball is 13 cm, the radius of each ball is 13 cm / 2 = 6.5 cm.

Substituting the values into the formula, we get:

V_ball = (4/3) × π × (6.5 cm)³

≈ 4/3 × 3.14 × 274.625 cm³

≈ 1157.33 cm³

The volume of each ball is approximately 1157 cm³.

Since there are three balls, the total volume of the three balls is:

V_total_balls = 3 × V_ball

≈ 3 × 1157 cm³

≈ 3471 cm³

Rounded to the nearest cubed centimeter, the total volume of the three balls is approximately 3471 cm³.

c. Percentage of the volume occupied by the three balls:

The percentage can be calculated using the formula:

Percentage = (V_total_balls / V_cylinder) × 100

Substituting the values, we get:

Percentage = (3471 / 1730) × 100

≈ 200.69%

Rounded to the nearest whole percent, the three balls occupy approximately 201% of the volume of the container.

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The correct question =

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.

a. What is the volume of the cylinder rounded to the nearest cubed centimeter?

b. What is the total volume of the three balls rounded to the nearest cubed centimeter ?

c. What percent of the volume of the container is occupied by the three balls?

Answer:

no

Step-by-step explanation:

Answer:

so the answer is no

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

1/2 = 0.5

Then, we compare the two decimal numbers to get the answer.

0.375 is not greater than 0.5.

Therefore, 3/8 is not greater than 1/2 and the answer to the question "Is 3/8 greater than 1/2?" is no.

Answer:

There is no sign it should be unitless

Step-by-step explanation:

Answer and Step-by-step explanation:

Assuming that both values of a and b are positive, we get the result to be positive, so a + sign (though you don't have to put that in front of the value).

When you multiply 2 positive values, the result is always positive.

Multiplying a positive and a negative value results in a negative value.

Multiplying 2 negative values together results in a positive value.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

D stays for 1 and as B is -6

the length of BD should be 7

good luck <3!

Answer:The answer is 20000

Step-by-step explanation:

The five rational number between -5/6 and 5/6 are \(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)

We have given two rational numbers \(\frac{-5}{6}\) and \(\frac{5}{6}\) .

For finding rational number make the denominator of given numbers same.

As the denominator of given numbers is already same so , we don't need to multiply .

Thus , five rational numbers are

 \(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)

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Answer: V = whl

Step-by-step explanation:

V - Volume

w - width

h - height

l - length

multiply all of these and you’ll get the answer! good luck and hope this helps!

Answer:

V= W x L x H

Step-by-step explanation:

W= width

L= length

H= height

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

z/xy  where z units squared is the total area of the two outside walls and xy is the area of one sheet.

Step-by-step explanation:

First find the area of a single sheet as;

Length of the sheet is x units

Assume the width of the sheet to be y units

The area of the sheet will be : x* y = xy units squared.

Second, find the total area of the two outside corners walls of the bedroom.

Lets say the total area of the two outside walls is z units squared.

Then to get number of sheets of dry wall you need for the two outside walls of the bedroom will be;

= Total area of the two outside walls / The area of  one sheet

= z/xy

Use real values for x, y and z to find the actual number of sheets required for the two outside corners walls of the bedroom.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.

The equation of the circle in the general form is given by the

(x-a)²+(y-b)²=r²

Where (a,b) is the co-ordinates of the center of the circle and the radius is r.

Now the center of the circle is given at (3,-4) and the radius is r.

We know that the general equation of a circle is  \({\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}\)

Substituting the values in the equation we get:

(x-3)²+(y-(-4))²=(3)²

or, (x-3)²+(y+4)²=9

Hence the equation of the circle is (x-3)² + (y + 4)² = 9.

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

HC/DH=DG/GH is false

The distance traveled is 385miles

Answer:

Step-by-step explanation:

Sum of infinite GP is:

The second term is:

Eliminate r in the system:

Compare the two equations and solve for a:

Multiply both sides by 16a:

a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1

The amount of codeine that Ken is being prescribed every day, given the Tyelenol 3 being prescribed is 165. 47 milligrams of Codeine

The amount of codeine in 30 ml of Tylenol 3 is:

= ( 17 x 73 ) / 30

= 41. 37 mL of Codeine

The number of 6 hour periods in a day is:

= 24 / 6

= 4

The amount of codeine that Ken is being prescribed a day is therefore:

= 4 x 41. 37

= 165. 47 milligrams of Codeine

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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