Willie runs 9 yards every five seconds. How many feet does Willie run in 15 seconds?

Answer:

The record showing the time spent in the shop last week on motor tune-ups has been misplaced. However, the shop supervisor recalls that 58 tune-ups were completed during the week, and the controller recalls the following variance data relating to tune-ups:

Step-by-step explanation:

The record showing the time spent in the shop last week on motor tune-ups has been misplaced. However, the shop supervisor recalls that 58 tune-ups were completed during the week, and the controller recalls the following variance data relating to tune-ups:

Answer: its B because an inequality is where you have a reater thn or less than sign

Step-by-step explanation:

Answer:

c = 13.50g + 55p

Step-by-step explanation:

You multiply the cost of the item by the amount you bought.

An equation for the total cost of video games and controllers is c = 13.50g + 55p.

Given that, Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each.

We need to write an equation where c represents the total cost, g is the number of games he bought, and p is the number of controllers he bought.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the total cost of video games=13.50g

The total cost of controllers=55p

Total cost =c = 13.50g + 55p

Therefore, an equation for the total cost of video games and controllers is c = 13.50g + 55p.

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The remote interior angles of ∠1 are ∠2 and ∠6.

Corresponding angles in a triangle are those angles which are contained by a congruent pair of sides of two similar (or congruent) triangles.

The remote interior angles of ∠1 is determined by applying the principle of corresponding angles as shown below;

∠1 = ∠2 ( vertical opposite angles are equal )

∠1 = 180 - ∠5 ( corresponding angles  are equal )

180 - ∠5  = ∠ 6 ( vertical opposite angles are equal )

So we can conclude that, ∠1 = ∠6.

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The evaluation of  the function requested in fraction in lowest terms is \(\frac{4}{5}\)

This question can be associated to the trigonometry questions, which implies that the figure that was given in the question is a right triangle,  whereby the ratio sine  can be defined as ;

\(\\\\ sin(x) = \frac{opposite}{hypotenuse}\)

In this case we can se that the x is the angle and  the opposite leg tht can be associated to angle A measures 28, as it can be seen the hypotenuse measures 35 which implies that ;

\(sin(A) = \frac{28}{35}\)

\(\frac{4}{5}\)

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sqrt 33

i saw that dc is similar to bd as bd is similar to ad. solving for bd i got sqrt 24. solving for ab i did 3^2+sqrt24^2=ab^2

Answer:

subtraction is the right answer

Answer:

hi seif

i think its subtraction

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

\(x + 0.05x = 15\), solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

\(x + 0.05x = 15\) or \(1.05x = 15\).

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is \(x + 0.05x = 15\) and the solution is $14.29.

Hope this helped!

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation:

Given that the advertising company had a setup fee of $80, this would mean that

Next, since it is stated that they add $4 for every advertisment, we let x as the number of advertisement, and this would mean that we add 4x to the equation that we initially had

Now, to write ordered pairs for the fees for 10, 20, 30, and 40 advertisements, we just have to substitute these values to the equation

x = 10

( 10, 120 )

x = 20

( 20, 160 )

x = 30

The probability of getting a blue sock then a black sock is 3/100 or 0.03.

The probability of picking a blue sock on the first draw is 3/10 (since there are 3 blue socks out of a total of 10 socks).

Calculate the probability of picking a blue sock first.
There are 3 blue socks out of a total of 10 socks (6 white + 3 blue + 1 black), so the probability of picking a blue sock first is 3/10.

Since the sock is replaced, the total number of socks remains the same. Calculate the probability of picking a black sock second.
There is 1 black sock out of a total of 10 socks, so the probability of picking a black sock second is 1/10.

Multiply the probabilities together.
The probability of both events happening in sequence is (3/10) * (1/10) = 3/100.

So, the probability of getting a blue sock then a black sock is 3/100.

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Answer:

b) 6

Step-by-step explanation:

Given information,

→ P = (5x + 30)°

→ S = 80°

Forming the equation,

→ P + S = 140°

→ (5x + 30)° + 80° = 140°

Now the value of x will be,

→ (5x + 30)° + 80° = 140°

→ 5x + 110° = 140°

→ 5x = 140° - 110°

→ x = 30°/5

→ [ x = 6° ]

Hence, the value of x is 6.

When the function has a horizontal tangent line or a vertical asymptote at the point where the switch would occur.

A curve may not switch from increasing to decreasing or vice versa from one interval to an adjacent interval when the function has a horizontal tangent line or a vertical asymptote at the point where the switch would occur.

In other words, if the derivative of the function is zero or undefined at the point where the switch would occur, then the curve will not switch from increasing to decreasing or vice versa at that point.

For example, consider the function f(x) = 1/x. This function is decreasing for x > 0 and increasing for x < 0. However, the function has a vertical asymptote at x = 0, so the curve does not switch from decreasing to increasing or vice versa at x = 0.

Similarly, consider the function g(x) = x^3. This function is increasing for all values of x, but it has a horizontal tangent line at x = 0, so the curve does not switch from increasing to decreasing at x = 0

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The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.

The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.

To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.

Shift the world price line upward to a point where it intersects with Micronesia's supply curve.

This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.

To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.

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x/2, which is a contradiction. So, the statement is true.Let x = 1,

then x² + x + 41 = 43

which is a prime.

If we take x = 2,

then x² + x + 41 = 47

which is also a prime. But,

when x = 40,

then x² + x + 41 = 1681

which is not a prime.

So, the statement is false.

b) ∀x∃y(x + y = 0). For every x,

there exists y = -x,

such that x + y =

x - x = 0.

So, the statement is true.

c) Let x = 2,

y = 1.

Then x > 1 and y > 0,

but  \(y^x = 1^2\)

= 1 ≤ x.

So, the statement is false.

d) Let a = 6,

b = 3,

c = 4.

Then a divides bc, but a does not divide b or a does not divide c. So, the statement is false.

e) Let a = 2,

b = 5,

c = 3, and

d = 1.

Then a divides (b-c) and a divides (c-d), but a does not divide (b-d). So, the statement is false.

f) x² - x ≥ 0 can be written as x(x-1) ≥ 0. If x > 1,

then both x and x-1 are positive and hence their product is positive.

If 0 ≤ x < 1, then x is positive and x-1 is negative, so their product is negative.

But, the statement is true only for positive real numbers. So, the statement is true.

g) Subtracting x+1 on both sides, 2x - (x+1) > 0 or x > 1. So,

the statement is true only for x > 1.

h) For any positive real number x, choose y = x/2.

Then for any positive real number z, yz ≥ z.

So, the statement is true.

i) For any positive real number x,

choose y = x/2.

Then if y < x, 0 < x-y < x.

If y > x,

then y > x/2 > x-x/2

= x/2,

which is a contradiction. So, the statement is true.

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Answer:

The list price is $23.2

Explanation:

The orignal cost of the bracelet is $16. First we need to find how much is 45% of the original cost $16, and then add this to the original cost to knwo the list price of the bracelet.

Step 1: Find how much is 45% of $16.

To find this percentage we divide $16 by 100 and then multiply by 45:

This means that the final price will be $7.2 more than the original.

Step 2: Find the list price.

We add the original price $16 and the added price of $7.2:

The list price is $23.2

The steps that should be taken to calculate the volume of the right triangular prism are;

Base = 8 meters

Height = 14 meters

Length of the prism = 7 meters

Area = ½ × base × height

= ½ × 8 × 14

= 56 square meters

Volume of the rectangular prism = Area × length of the prism

= 56 square meters × 7 meters

= 392 cubic meters

Ultimately, the volume of the right triangular prism is 392 cubic meters

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Answer:

5 and 5/9

Step-by-step explanation:

First, you need to convert these mixed fractions to improper fractions. To do this, multiply the denominator by the whole number and add it to the numerator. Put it over the denominator. 2 and 8/9 becomes 26/9. 9 times 2 is 18 plus 8 is 26. 26/9. 2 and 2/3 is 8/3. Now find the common denominator (9). Do not change anything about the fraction, 26/9, because it already has 9 in the denominator. 8/3 becomes 24/9 because 3 times 3 is 9 and 8 times 3 is 24. Then, add them. 26/9 plus 24/9 is 50/9. Lastly, put this in simplest form. 50/9 is 5 5/9.

Answer: 5 5/9

Step-by-step explanation: This is just in my way of answering this: 2 8/9 and 2 2/3 need to be made into improper fractions, so 2 8/9 as an improper fraction is 26/9. 2 2/3 as an improper fraction is 8/3. To add these fractions, you must find the common denominator! The common denominator is 9, and since 26/9 already has the denominator 9, you need to make 8/3 have a denominator of 9. So, 3 x 3 is 9, and 8 x 3 is 24! 24/9 + 26/9 is 50/9. 50/9 needs to be converted back into a mixed number, so 50/9 will become 5 5/9! That's the answer! :)

The probability distribution for the third purchase would be approximately [0.781248, 0.218752] for "special" and "b" respectively.

Based on the transition probabilities provided, we can represent the purchase patterns for the two brands of toothpaste as a Markov process. Let's denote the two brands as "special" (S) and "b" (B).

The rows represent the current state, and the columns represent the next state. The entry at row i and column j represents the probability of transitioning from state i to state j.

For example, according to the transition matrix:

The probability of transitioning from "special" (S) to "special" (S) is 0.92.

The probability of transitioning from "special" (S) to "b" (B) is 0.08.

The probability of transitioning from "b" (B) to "special" (S) is 0.04.

The probability of transitioning from "b" (B) to "b" (B) is 0.96.

Using this transition matrix, we can analyze the purchase patterns over time. For example, if we start with a customer purchasing the "special" brand, the probability distribution for the next purchase would be [0.92, 0.08] for "special" and "b" respectively. If we continue this process, we can calculate the probabilities for multiple purchases in the future.

Certainly! Let's continue analyzing the purchase patterns using the given transition probabilities.

Let's consider the initial state where a customer purchases the "special" brand of toothpaste. We can calculate the probabilities for the next purchase after several time steps.

Time step 1:

If the customer purchased "special" toothpaste initially, the probability distribution for the next purchase would be [0.92, 0.08] for "special" and "b" respectively.

Time step 2:

To calculate the probabilities for the second purchase, we multiply the previous probability distribution by the transition matrix:

Hence, the probability distribution for the second purchase would be approximately [0.8464, 0.1536] for "special" and "b" respectively.

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The length of an alpha helix with 31 amino acids is approximately 50.6 angstroms.

An alpha helix is a common secondary structure in proteins where the polypeptide chain forms a tightly coiled helical structure. The length of an alpha helix can be calculated using the formula:

Length = (3.6 * number of amino acids)^(1/2)

In this case, the number of amino acids is 31. Plugging this value into the formula, we get:

Length = (3.6 * 31)^(1/2)

      = (111.6)^(1/2)

      ≈ 10.56

However, this value is in units of turns, where one turn is equal to 3.6 amino acids. To convert it to length, we need to multiply by the pitch of the helix. The pitch is the vertical distance between one complete turn of the helix.

The average pitch of an alpha helix is approximately 5.4 angstroms per turn. Multiplying the number of turns by the pitch, we get:

Length = 10.56 * 5.4

      ≈ 57.02

Therefore, the length of an alpha helix with 31 amino acids is approximately 57.02 angstroms.

The length of an alpha helix with 31 amino acids is approximately 57.02 angstroms. This calculation takes into account the formula for calculating the length of an alpha helix and the average pitch of the helix. It is important to note that this is an approximation as the actual length can vary depending on factors such as the specific amino acid sequence and the presence of any structural constraints within the protein.

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Answer:

Its called an Unknown number, a variable, and a letter.

Step-by-step explanation:

Top 2 answers came from algebra and then last came from preschool....obviously.

Use the slope formula:-

\(\displaystyle\frac{y_2-y_1}{x_2-x_1}\)

Plug in the values:-

\(\displaystyle\frac{2-(-4)}{-5-3}\)

\(\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}\)

Reduce the fraction by dividing the top & bottom by 2:-

\(-\displaystyle\frac{3}{4}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

$16.45

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Let's solve the given system of equations.

Given system

x +3y= 10 ----(1)

-2x -2y= 4 ----(2)

From (2):

-2(x +y)= 4

Dividing both sides by -2:

x +y= -2 ----(2)

Thus, options 3 and 4 are incorrect as x +y≠ -2.

(1) -(2):

(x +3y) -(x +y)= 10 -(-2)

Expand:

x +3y -x -y= 10 +2

2y= 12

Divide both sides by 2:

y= 12 ÷2

y= 6

Substitute y= 6 into (2):

x +6= -2

x= -6 -2

x= -8

Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.

-x +y

= -(-8) +6

= 8 +6

= 14

Thus, option 2 is the correct option.

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

Answer:

y=x+15

Step-by-step explanation:

Answer:

h(x)=24X^2+40x+14