The neighborhood bakery sold 513 loaves of bread last month. If it takes 3 cups of flour to make each loaf of bread, about how many cups of flour were used?

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The radius of the cylinder should be approximately 2.040 inches long.

The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:

204 in³ = (π/3) · r² · (4 in) + π · r² · h

204 in³ = (4/3 + h) · π · r²

204 in³ = (4/3 + 7 · r) · π · r²

204 = (4π/3) · r² + 7π · r³

7π · r³ + (4π/3) · r² - 204 = 0

The positive roots of the cubic equation are:  

r ≈ 2.040 in

The radius of the cylinder should be approximately 2.040 inches long.

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a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

Area=200.96.

Step-by-step explanation:

A=3.14×8^2.

A=3.14×64.

A=200.96 or A=201.

Answer:

its rational dude

Step-by-step explanation:

Answer:

$10.80

Step-by-step explanation:

9 times 0.20 equals 1.80

9 + 1.80 = $10.80

Answer:

(C)90 – 10y = 5x

Step-by-step explanation:

Given:

x = number of times she hiked the 5-mile trail

y = number of times she hiked the 10-mile trail

Maria hikes a total of 90 miles

Therefore, total distance hiked can be represented by the equation:

5x+10y=90

Subtract 10y from both sides, we have:

5x=90-10y

This is option C.

Answer:

C

Step-by-step explanation:

Answer:

21x+9y+2xy or 2xy+21x+9y

Answer:

7*7

Step-by-step explanation:

49 = 7*7

As 7 is a prime number ( a number that can only be written as a product of 1 and itself), we are finished

Factors of 49: 1 7 49

prime factorization: 49=7*7

which can also be written as 7²

hope this is helpful

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

Answer: 8squares

Step-by-step explanation:

Part A: The measures of center in Mountain View School, mean = 4.75, median = 4.5 and Bay Side School, mean = 5.5, median = 4.5

Part B: The measures of variability: Mountain View School, Range= 9 IQR= 4,  Bay Side School, Range= 10 IQR= 3

Part C: Bay Side School would be the better choice.

Part A: Measures of Center

To calculate the measures of center, we will determine the mean and median for each school.

Mountain View School:

Mean = (0 + 5 + 6 + 8 + 9 + 8 + 2 + 0) / 8 = 38 / 8 = 4.75

Median = (4 + 5) / 2 = 4.5

Bay Side School:

Mean = (10 + 2 + 4 + 5 + 6 + 8 + 8 + 7 + 6 + 5 + 5 + 4 + 4 + 3 + 1 + 0) / 16 = 88 / 16 = 5.5

Median = (4 + 5) / 2 = 4.5

Part B: Measures of Variability

To calculate the measures of variability, we will determine the range and interquartile range (IQR) for each school.

Mountain View School:

Range = 9 - 0 = 9

IQR = (6 - 2) = 4

Bay Side School:

Range = 10 - 0 = 10

IQR = (6 - 3) = 3

Part C: Choice based on Class Size

If you are interested in a larger class size, Bay Side School would be the better choice. The mean class size at Bay Side School is 5.5, while at Mountain View School it is 4.75. The range of class sizes at Bay Side School is also larger (10) compared to Mountain View School (9). This indicates that there is a greater variation in class sizes at Bay Side School, providing a higher likelihood of finding larger class sizes. However, it's important to consider other factors such as teaching quality, resources, and overall educational environment before making a final decision.

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We are given that the number of papers increases by a percentage of 3% annually. since we have a quantity that grows by a percentage we can use the following exponential function:

Where "r" is the rate of growth, "a" is the initial amount, and "t" is time. Replacing the values:

Simplifying:

Now we replace t = 8:

Solving the operations:

Therefore, 14707 papers will be published.

Given:

A truncated cone cup is given.

Whose measurements are as:

r= 1 in.

R = 1.5 in.

h = 8 in.

Required:

Find the

Answer:

151 * 17 * 3^4 * 2

Step-by-step explanation:

2567 | 17

151 | 151

1

162 | 2

81 | 3

27 | 3

9 | 3

3 | 3

1

Answer:

415854.

Step-by-step explanation:

A multiplication.

Using a calculator it is:

415854,

The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer:

Step-by-step explanation:

Converting the equations from standard to slope-intercept form

a)

b)

c)

d)

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

σ = √0.0001947774

σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

__

You can see this if you draw each external angle, then reduce the side lengths of the polygon to zero. You will see that the angles add up to one full turn, or 360°.

The distance of AB is 117.992 meters.

Law of sines is a law in trigonometry which states that the ratios of the angle to the opposite side of a triangle are equal.

For triangle ABC,

sin A / a = sin B / b = sin C / c

where a, b and c are the sides opposite to the angles A, B and C respectively.

Here,

∠B = 112° 10' = 112° + 0.167° = 112.167°

∠C = 15° 20' = 15° + 0.333° = 15.333°

By the angle sum property of triangle,

∠A = 180° - (∠B + ∠C)

∠A = 180° - (112.167° + 15.333°)

     = 52.5°

Using law of sines,

sin A / BC = sin C / AB

sin (52.5°) / 354 = sin (15.333°) / AB

AB = [354 × sin (15.333°)] / [sin (52.5°)]

AB =  [354 × 0.264] / [0.793]

AB = 117.992 meters

Hence the distance across the river is 117.992 meters.

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Answer:

it goes 360 mi downstream

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order

since they are already in the order we dont need to change

first quartile(Q1)=(N+1)/4

=7+1/4

=8/4

=2 nd term

=43

second quartile(Q2 or median)=(N+1)/2

=7+1/2

=8/2

=4 th term

=44

third quartile(Q3)=3(N+1)/4

=3(7+1)/4

=3*8/4

=24/4

=6 th term

=49

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

290 square inches

Step-by-step explanation:

A=2(wl+hl+hw)=2·(5·5+12·5+12·5)=290

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help