A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

The amount in volume of air that is left in the (spherical) beachball, after deflating by one quarter, is 1000·π cubic inches, which is about 3,141.59 cubic inches

The formula for finding the volume of a sphere is (4/3)·π·r³, where;

r = The radius of the sphere

The diameter of the beach ball = 20 inches

The proportion of the volume by which the beach ball deflates = One quarter

The initial volume of the (spherical) beachball = (4/3) × π × (20/2)³

The volume of air in the ball that deflates = (4/3) × π × (20/2)³ ÷ 4 = (1/3) × π × (20/2)³

The amount of air that is left = (4/3) × π × (20/2)³ - (1/3) × π × (20/2)³

The above expression can be evaluated as fractions with the same denominator, such that the difference in the numerator can be used to find the result as follows;

(4/3) × π × (20/2)³ - (1/3) × π × (20/2)³ = (3/3) × π × (20/2)³ = π × (20/2)³

π × (20/2)³ = π × (10)³ = 1000·π

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a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Answer:

-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-9))/(2-3)

m=(-2+9)/-1

m=7/-1

m=-7

Answer:

I think its C

Step-by-step explanation:

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

Answer:

3x

Step-by-step explanation:

f(x) = x/3

let , y=f(x)

or y=x/3

inter changing x and y, we get,

x=y/3

or, 3x=y. ( cross multiplication)

therefore f-1(x) 3x

To draw the image of ABC under a dilation whose center is C and scale factor is 2, there are several steps by which we can draw the triangle.

Draw the original ABC triangle. A, B, and C are the vertices.

Make a point C' that is twice as far away from C as any other point on the triangle ABC. Draw a ray from C through any vertex of the triangle to accomplish this. (say, B). Then, double the length of the ray to find point C'.

Connect point C' to each vertex of the triangle with lines. A' and B' are the points where these lines intersect the original triangle.

Your new triangle A'B'C' is the dilation of ABC with centre C and scale factor 2.

The sides of the new triangle A'B'C' are twice as long as the sides of the original triangle ABC, and the angle between any two corresponding sides in both triangles is the same.

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Answer:

yes

Step-by-step explanation:

that is 3×3×3×3×3×3....×3 21 times and the other is 50 times,so u have to multiply 3²¹ with more 3s so u ger 3⁵⁰

The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.

If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.

However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.

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Answer:

7500$

Step-by-step explanation:

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

63

Step-by-step explanation:

To find the area of a trapezoid you have to use the formula

a+b/2 h

So we would substitute them

3 + 15 / 2 x 7

Which would equal

63

Hope this helps :)

To solve the question, we need to consider the transformation described and determine the function that represents the stretched graph.

The absolute value parent function is \(\displaystyle\sf f(x) = |x|\). According to the question, this parent function is horizontally stretched by a factor of 5 to create the graph of \(\displaystyle\sf g(x)\).

A horizontal stretch by a factor of 5 means that the x-values on the graph are multiplied by 5. In other words, the transformation can be represented as \(\displaystyle\sf g(x) = |5x|\).

Therefore, the correct function that represents the graph of \(\displaystyle\sf g(x)\), the stretched version of \(\displaystyle\sf f(x) = |x|\), is \(\displaystyle\sf g(x) = |5x|\).

The correct answer is option D: \(\displaystyle\sf g(x) = |5x|\).

Answer:

B. (2x+4y)(4x2-8xy+16y2)

Step-by-step explanation:

hope this helps!

Answer:0.67

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

divide both by two for its simplest form

Answer:4/7

Step-by-step explanation

Divide both the numerator and denominator by 2

The result for the numerator is 8/2=4

that of the denominator is 14/2=7

Therefore the resultant answer is 4/7

Answer:

17/66

Step-by-step explanation:

Complete question:

An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that: both  marbles are green?

? a. 0.5006 b. 0.0682 c. 0.6123 d. 0.2872 e. 0.2576

Solution:

Total number of green marbles=17

Total number of yellow marbles=16

Total number of marbles=17+16=33

We have to find the probability that both marbles are green.

Now, the probability that both marbles are green=\(\frac{17}{33}\times \frac{16}{32}\)

Using the formula of probability

\(P(E)=\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}\)

The probability that both marbles are green=17/66

On solving the provided question, we can say that Therefore, you would need multiply  approximately 27.84 pounds of food each day for your horse.

One of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."

First, we need to convert the weight of the horse from kilograms to pounds, so:

678 kg x 2.20462 lbs/kg = 1495.69 lbs

Next, we need to calculate how many Mcal the horse needs per day:

0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day

Then, we can convert the Mcal to kcal:

22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day

Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:

22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day

Therefore, you would need approximately 27.84 pounds of food each day for your horse.

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The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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To solve the system of equations using substitution, follow these steps:

1. Write down the given equations:
  y = 2x
  y = 4x + 6

2. Substitute the expression for y from the first equation into the second equation:
  2x = 4x + 6

3. Solve for x:
  2x - 4x = 6
  -2x = 6
  x = -3

4. Substitute the value of x back into the first equation to find the value of y:
  y = 2(-3)
  y = -6

5. Write the solution as an ordered pair:
  (-3, -6)

So, the solution to the system of equations is (-3, -6).

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Answer:

200ft²

Step-by-step explanation:

SA = 8(15) + (8+15+17) 20

= 120+ (4)(20)

= 120+80

= 200ft²

For point A on the number line

Since 8 parts represent a unit

point A is just one part out of the 8 parts

so A = 1/8

The number line represents values in the range of 0 to 1

and each part represents one-eight or 0.125 unit

Answer:

100 in²

Step-by-step explanation:

4 triangles, each of them has area = 10*5/2

so total area = (10*5/2)*4

= (10*5*2)

= 100 in²

Answered by GAUTHMATH

The lateral surface area of the pyramid is 100 in²

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The pyramid has four triangular faces and one rectangular base we need to calculate the lateral surface area so we will calculate the area of the four triangles and sum up all the triangles.

4 triangles, each of them has an area = 10 x ( 5/2 )

So total area = (10 x 5/2) x 4

Total area = (10 x 5 x 2)

Total area = 100 in²

Therefore the lateral surface area of the pyramid is 100 in²

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Answer:

i think they are both correct

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The surface area is 272 square inches.

The term "cube" refers tο a sοlid three-dimensiοnal shape in mathematics οr geοmetry that has six square faces, eight vertices, and twelve edges. It is alsο asserted tο be a cοnventiοnal hexahedrοn. Yοu must be familiar with the three-by-three Rubik's cube, which is the mοst prevalent example in daily life and can help tο increase brain capacity. Similar tο this, yοu'll run intο a lοt οf real-wοrld examples, like 6 sided dice, etc.

Sοlid geοmetry is the study οf three-dimensiοnal οbjects with surface areas and vοlumes. Cube, cylinder, cοne, and sphere are sοme οf the οther sοlid shapes. Here, we'll talk abοut its definitiοn, attributes, and relevance tο mathematics.

A Bοx cοntains,

Length by 8 inches, Breadth by 2 inches, Height by 12 inches.

using fοrmula:

Surface area = 2lw+2lh+2wh

Length by 8 inches, Breadth by 2 inches, Height by 12 inches

= (2×8×2)+(2×8×12)+(2×2×12)

=32+192+48

=272

Hence, the surface area is 272 square inches.

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Answer:

Step-by-step explanation:

So, we know that 200 can also be written as 200.00 which does not change the value of the number. Now, we can turn it into a percentage by moving the decimal point to digits back: 200.00 --> 20000. So, this means that 200 is 20000%.

Answer:

let x be thomas age

3x for huilans age since huilans age is 3 time thomas age

both of their ages add to 76

ie. x + 3x =76

solve for x

4x = 76

x = 76 ÷ 4

x = 19. thomas age

to get huilans age : take 19 × 3 = 57