Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds

Answer:

The domain of f is equal to x = log8 x.

Step-by-step explanation:

The graph of the y = x³ function is given by the image given at the end of the answer.

The function for this problem is defined as follows:

y = x³.

The domain and the range of the function are given as follows:

Some points on the graph of the function are given as follows:

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Answer:

Surface area of the reflective glass is 543234.4 square feet.

Step-by-step explanation:

Given that: height = 311 feet, sides of square base = 619 feet.

To determine the slant height, we have;

\(l^{2}\) = \(311^{2}\) + \(309.5^{2}\)

   = 96721 + 95790.25

   = 192511.25

⇒ l = \(\sqrt{192511.25}\)

      = 438.761

The slant height, l is 438.8 feet.

Considering one reflecting surface of the pyramid, its area = \(\frac{1}{2}\) × base × height

  area =  \(\frac{1}{2}\) × 619 × 438.8

          = 135808.6

          = 135808.6 square feet

Since the pyramid has four reflective surfaces,

surface area of the reflective glass = 4 × 135808.6

                                                          = 543234.4 square feet

Answer:

question 1(2)

answer 4

question 2(3)

answer 1

question 3(4)

(a)6; factored

(b)7; factored

c(8); factored

Answer:

\(\frac{56}{15}\)

Step-by-step explanation:

Given that \(\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k\)

F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k

The flux of \vec F across the surface S is given by

\(\int \int _s \vec F \cdot dS\)

Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and  x + 4y + z = 4.

Now, by using the Gauss Divergence theorem:

\(\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV\)...(i)

where V is the volume enclosed by the surface S and \(dV=dxdydz\)

\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}

=2xy+2xy+3xy=7xy

Putting this value in equation (i), we have

\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz

= \(7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy\)

\(=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\\)

\(=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy\)

\(=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy\)

\(=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy\)

\(=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy\)

\(=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}\)

\(=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}\)

\(=7\times \frac {8}{15} \\\\=\frac{56}{15}\)

Hence, the flux of F across S is \(\frac{56}{15}\).

Answer:

37.99 doller

Step-by-step explanation:

trust me

Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

Answer:

D. Negative.

Step-by-step explanation:

In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:

y-y₁=m(x-x₁)

Plug in your information and solve.

-1 - 5 = m (2 - (-1))

-6 = m (3)

-6 = 3m

m = -6 / 3

m = -2

(m = slope)

Also, when shown on the graph =

If the slope is going:

up from left to right: it's positive

down from left to right: it's negative

straight up and down (vertical): it's undefined

straight left to right (horizontal): it's zero.

Answer:

to find a probability,we need to follow the rule

P/n

p=1

n=6

=1/6

Answer:

0is the answer just guessing

Answer:

Step-by-step explanation:

The ratio of fiction books to non-fiction books is 5:2, which means that for every 5 fiction books in the library, there are 2 non-fiction books.

We know that the total number of books in the library is 1421. To figure out how many of those books are fiction, we need to divide the total by the sum of the parts in the ratio (5 + 2 = 7), and then multiply the result by the number of parts that represent fiction books (5).

So, the number of fiction books in the library is:

5/7 x 1421 = 1015

To find out how many non-fiction books there are, we can subtract the number of fiction books from the total:

1421 - 1015 = 406

Finally, to figure out how many more fiction books there are than non-fiction books, we can subtract the number of non-fiction books from the number of fiction books:

1015 - 406 = 609

Therefore, there are 609 more fiction books than non-fiction books in the library.

Someone may think this graph is misleading because it does not start from the origin

As a general rule, graphs are to begin from the origin

The origin of a graph is

(x, y) = (0, 0)

From the given graph, the origin is

(x, y) = (0, 60)

This means that someone may think this graph is misleading because it does not start from the origin

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The exact value of sin(5π/12) is (√6 + √2)/4

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer: 510$

Step-by-step explanation:

So you multiply the number of bookmarks by the amount they were sold for. So, 340 x 1.50 = 510. 510$!

Answer:

5 is the median

Step-by-step explanation:

The median is the middle number

We need to find how many data points there are.  Adding the number across

1+1+2+4+5+3+1+1+2+1 = 21

The middle number is 10.5 which means there are 10 below and 10 above and the median is 11

Adding up, the 11th item is at 5

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

F or G = { 5,6,7,8,9,10,11,12 } is probability  P(F or G) using the general addition rule.

What are examples and probability?

The likelihood that something will happen is called the probability. the total number of conceivable outcomes.

                                   For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is what we write.  the forerunners of the contemporary mathematical theory of probability (for example the "problem of points").

S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},

event F={5, 6, 7, 8, 9}​, and

event G={9, 10, 11, 12}.

F or G = { 5,6,7,8,9,10,11,12 }

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Answer:

\((s + t)(x)= 5x+1\)

\((s - t)(x)= -3x-5\)

\((s.t)(1) = -7\)

Step-by-step explanation:

Given

\(s(x) = x - 2\)

\(t(x) = 4x + 3\)

Solving (a): (s + t)(x)

This is calculated as:

\((s + t)(x)= s(x) + t(x)\)

\((s + t)(x)= x-2 + 4x + 3\)

Collect like terms

\((s + t)(x)= x+ 4x-2 + 3\)

\((s + t)(x)= 5x+1\)

Solving (b): (s - t)(x)

This is calculated as:

\((s - t)(x)= s(x) - t(x)\)

\((s - t)(x)= x-2 - 4x - 3\)

Collect like terms

\((s - t)(x)= x- 4x-2 - 3\)

\((s - t)(x)= -3x-5\)

Solving (b): (s . t)(1)

First, we calculate (s.t)(x)

This is calculated as:

\((s.t)(x) = s(x)* t(x)\)

So, we have:

\((s.t)(x) = (x - 2) * (4x + 3)\)

Substitute 1 for x

\((s.t)(1) = (1 - 2) * (4*1 + 3)\)

\((s.t)(1) = - 1 * 7\)

\((s.t)(1) = -7\)

Answer:

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 75

Step-by-step explanation:

Answer: (D)

Start Learning and Start Growing! edge2023!

*DROPS THE MIC*

Comparing the ratios in form of fraction, the ratio 1:3 is the largest.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.

In the ratios given, we have 2:9, 3:18 and 1:3

Let's write these in form of fraction to the decimal and determine which is the largest.

i)

2:9 = 2/9 = 0.22

ii)

3:18 = 3/18 = 0.1666 ≅ 0.17

iii)

1:3 = 1/3 = 0.33

From the above fractions, the ratio 1:3 is the largest.

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I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER ^ - ^

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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7x + 3 = 9x - 3 - 2x

7x - 9x + 2x = -3 - 3

0 = -6

equation doesn't have any solution

Answer:

22 is the range for the data set.

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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Answer:

C $0.40

Step-by-step explanation:

to find how much one pound of potatoes is, you have to divide the the cost of the bad by the number of pounds ($3.98 divided by 10 pounds)

$3.98 : 10 = $0.398 = $0.40

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

Step-by-step explanation:

It is likely that Sharon's calculated mean time is the better estimate of the actual mean time for the whole class. This is because she collected data from a larger sample of the class (10 students) than Gerald (4 students). A larger sample size generally results in a more accurate estimate of the population mean.

It is more likely for the mean time calculated by Sharon to be better estimate than that of Gerald.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Given,

Mean time to complete the assignment taken from 4 students by Gerald = 38 minutes.

Mean time to complete the assignment taken from 10 students by Sharon = 32 minutes

Population size = 30 students

When the sample size is more closer to the population size, the sample mean would be more closer to the actual mean.

So Sharon's estimate is a better option.

Hence the estimate value of mean calculated by Sharon is more likely to be closer to the actual mean.

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