Assuming a linear relationship exists, and that the relationship continues unchanged through 1986, what would you predict for the average cost of a gallon of milk in 1986

Answer: Rank me Brain list or tanks it if it helps:) Hope it helps!

Step-by-step explanation:

We know that Krutika’s share is three times Natasha’s because they are split in a 3:1 ratio. So we can say:

K=3N

We also know that Krutika’s share is £52 more than Natasha’s:

K= (N+£52)

Substituting what we know about K allows us to reduce the equation to one variable:

3N=N+£52

Clean that up by subtracting N from both sides, leaving us with variables only on one side of the equation.

2N=£52

Which means that we can divide both sides by two to get our answer.

N=£26.

So, of the original £104, Krutika got £78 and Natasha got £26.

Answer:7:20

Step-by-step explanation:

By seeing the percentages given, it can be concluded that

the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. That fraction is called percentage.

For example 2% means \(\frac{2}{100}\)

Here 2 is expressed as a fraction of 100

Here, only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates have broadband internet access. Here limited group of high school graduate student has access to broadband internet access at home while almost unlimited  group of college graduate  students has access to broadband internet access at home. So there is a huge difference of the distribution of broadband internet access  at home between high school graduate and college graduate. So this is a case of Digital divide.

So the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

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The expected difference is 0.17

A supermarket is a self-service store with various food, drink, and household goods options divided into categories. While this type of store is bigger and has a wider variety of products than older grocery stores, it is smaller and offers a smaller selection of goods than a hypermarket or big-box market. Fresh meat, produce, dairy, deli foods, baked goods, etc. may usually be found in the store.

Additionally, shelf space is set aside for canned and packaged goods as well as a variety of non-food items like pet supplies, cleaning supplies, cookware, and household cleansers.

The table is: 0 1 2 3

x1 0 0.08 0.06 0.04 0.00

1 0.05 0.18 0.05 0.03

2 0.05 0.04 0.10 0.06

3 0.00 0.03 0.04 0.07

4 0.00 0.01 0.05 0.06

Expected difference =

+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))

= 0.17

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Answer:

Domain: 10, 1, 2

Range: 3, 4, 9, 5

Domain is the x values

Range is the y values

Answer:

PLEASE MARK AS BRAINLIEST AND GIVE THANKS

0.1007

Step-by-step explanation:

0.53 x 0.19 = 0.1007

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

\(\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24\)

Since we matched corresponding sides, we can now check whether they have the same ratio).

\(\frac{18}{14}=\frac{20}{15}=\frac{32}{24}\)

\(\frac{9}{7}=\frac{4}{3}=\frac{4}{3}\)

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

Answer:A bar chart is a suitable display to represent data on job classification because it is categorical. Categorical data are data that can be classified into categories, such as job classification. A bar chart is a graphical display that uses bars to represent different categories of data. The bars are plotted horizontally or vertically, and the length of each bar represents the magnitude of the data within the category.

A box plot, on the other hand, is a graphical display used to represent numerical data. It consists of a box (also known as a "box-and-whisker plot") that represents the middle 50% of the data, a line within the box representing the median of the data, and "whiskers" extending from the box to the minimum and maximum data values. Box plots are not suitable for representing categorical data.

Therefore, the correct answer is:

Bar chart; because job classification is categorical

Step-by-step explanation:

The smallest unit of liquid volume in the apothecary system is the minim.  It is important to note that the apothecary system can be confusing and is not always easily converted to other systems of measurement

The apothecary system is a historical system of measurement used in pharmacy and medicine. In this system, the minim is the smallest unit of liquid volume, equivalent to approximately one drop.

The apothecary system is a system of measurement that was commonly used in pharmacy and medicine in the past. While it has largely been replaced by the more standardized metric system, it is still occasionally used in some areas. In the apothecary system, the smallest unit of liquid volume is the minim. This unit is equivalent to approximately one drop of liquid. Other units of liquid volume in the apothecary system include the fluid dram (equivalent to approximately 60 minims), the fluid ounce (equivalent to approximately 8 fluid drams), and the pint (equivalent to approximately 16 fluid ounces).. For this reason, it is becoming increasingly rare to see it used in modern medicine and pharmacy, and most healthcare professionals use the metric system for dosing and measuring medications.

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Answer:

If four friends can eat four cakes in four days, then four friends will eat an average of one cake per day, so each friend will be able to eat 1/4 of a cake per day.

So 10 friends will eat 10/4 of cake per day, or two and a half cakes per day, so they will eat 2,5 * 10 = 25 (twenty-five) cakes per 10 days, assuming they will eat at the same rate

Step-by-step explanation:

Branily?

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer: 108ft^2

Step-by-step explanation:

First, at the top we have two triangle rectangles.

The area of a triangle rectangle is equal to the product of their cathetus divided by two.

We know that one common cathetus for both triangles is 6ft.

And both share the bottom line that is 14ft long, so half of that corresponds to each triangle.

14ft/2 = 7ft

Then each triangle has a cathetus of 6ft and one of 7ft.

Then the area of each triangle rectangle at the top is:

6ft*7ft/2 = 21ft^2

And we have two of them, so the area for now is:

A1 = 21ft^2 + 21ft^2 = 42ft^2.

Now let's look at the bottom part, we can divide this into two triangle rectangles and one rectangle.

First, bottom side is 8ft, then the difference between this side and the 14ft one is:

14ft - 8ft = 6ft

(We calculate this because we are making a rectangle, then the bottom side length must be equal than the top one).

Then we have a surpass of 6ft, which we will divide into both triangle rectangles (3ft for each, this is one of the cathetus).

And we can see that the cathetus shown of this triangle rectangle is 6ft (this is also the other side of our rectangle)

Then we have two triangles with cathetus 6ft and 3 ft, the area is:

A = 6ft*3ft/2 = 9ft^2

And we have two of them, then A2 = 18ft^2.

And the rectangle is 8ft by 6ft, the area is:

A3 = 8ft*6ft = 48ft^2

Then if we add all the areas that we found, we have:

A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2

Answer: The last one

Step-by-step explanation:

Answer:

6x-10 =32

Step-by-step explanation:

Let the number be x

the product of 6 and a number

6x

ten less than

6x-10

That is equal to 32

6x-10 =32

Answer:

Step-by-step explanation:

See image

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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Answer: To rewrite the expression in the form b^n b^15/b, we can simplify the expression by combining the terms with the same base, which is b.

So, b^n b^15/b can be written as b^(n+15)/b.

Using the property of exponents, when we divide two exponential terms with the same base, we can subtract their exponents. Therefore, b^(n+15)/b can be simplified further as b^(n+15-1), which is equal to b^(n+14).

Hence, the given expression in the form b^n b^15/b is equivalent to b^(n+14).

Answer:

7/14, 6/14, 13/14

Step-by-step explanation:

kkkkkk

There are 120 different combinations when selecting Christmas presents.

There are 10 available presents in all under a Christmas tree, and

The number of presents chosen to be placed beneath a Christmas tree is 3.

We must determine how many possible combinations there are.

There are a total of three methods by which the 10 gifts can be chosen \(10C_{3}\).

that is

\(nC_{r}=\frac{n!}{r!(n-r)!}\)

\(10C_{r} =\frac{10!}{3!(10-3)!}\)

=120

In order to choose three gifts from a total of ten, there are 120 possible different combinations.

The term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

5rdx

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Answer:

x+115=180 x=65

90+65+y=180 y=25

Step-by-step explanation:

The statement that best describes what the quotient represents in the situation above is: "Maddy made 4 bows from the piece of ribbon and had 2/3 yards of a yard left." (Option C)

Note that the length of the piece of ribbon Maddy used is 31/2 yards or 7/2 yards.

We also know that the length of the ribbon required to make a bow is 3/4.

Hence the number of bows made is:

7/2 ÷ 3/4

= 7/2 * 4/3

= 28/6

= 14/3

= 4 2/3

Thus it is correct to state that Maddy made 4 bows from the piece of ribbon and had 2/3 of a yard remaining.

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Full Question:

Maddy had a piece of ribbon that was  31/2 yards long. She used this ribbon to make bows. Each bow was made from a piece of ribbon that was 3/4 yard long. This situation can be represented by the equation 31/2 ÷ 3/4 - 42/3. Which statement best describes what the quotient represents in the situation above?

A Maddy had bows that were each 42/3 yards long.

B Maddy had 42/3 yards of ribbon left after making the bows.

C Maddy made 4 bows from the piece of ribbon and had 2/3 yards of a yard left.

D Maddy made 4 bows from the piece of ribbon and had enough left for   2/3 of a bow.

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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The length of the room will be  96 ft after increasing each side by 1 foot.

Let L be the length of the room and W be the width of the room.

Given , L = 2W.

Area ,  A = LW

= 2W × W

= 2W²

On increasing each side  by 1 foot,  new area is A' = (L + 1)(W + 1)

= (2W + 1)(W + 1)

= 2W² + 3W + 1

Since,  the room would contain 145 ft more if each side were increased by 1 foot, then its new area is A' = A + 145 = 2W² + 3W + 1

2W² + 145 = 2W² + 3W + 1

145 = 3W + 1

3W = 145 - 1

3W = 144

W = 144/3

W = 48 ft.

Since its length L = 2W, substituting W = 48 into the equation, we have

L = 2(48)

L = 96 ft

Therefore the length of the room will be  96 ft.

The area of a rectangle in a two-dimensional plane is the area that it occupies. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram also has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

r 104.20

Step-by-step explanation:

87tickets x r 2.00 = 174

174 - 69.80 = r 104.20

The next three terms in the following arithmetic sequence -4, 5, 14, 19 … include the following:

Term 5 = 32.

Term 6 = 41

Term 7 = 50

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 5 - (-4)

Common difference, d = 9

Next, we would determine the next three terms as follows:

a₅ = a₁ + (n - 1)d

a₅ = -4 + (5 - 1)9

a₅ = 32

a₆ = a₁ + (n - 1)d

a₆ = -4 + (6 - 1)9

a₆ = 41

a₇ = a₁ + (n - 1)d

a₇ = -4 + (7 - 1)9

a₇ = 50

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Answer:

f(10)=290

Step-by-step explanation:

Function Evaluation

Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.

We are given the function:

\(f(x)=3x^2-x\)

It's required to find f(10). We replace the x for 10:

\(f(10)=3*10^2-10\)

Operating:

\(f(10)=3*100-10\)

\(f(10)=300-10\)

\(f(10)=290\)

Thus, f(10)=290

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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