A bike store sells scooters at a 54% markup if the store sells each scooter for $69.30 then what is their non-markup price

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Answer:

Step-by-step explanation:

\(\hookrightarrow\:\:\:\sf\purple{2a+ 3b + 4a^2 - 9b^2}\)

\(\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)\times (2a + 3b)}\)

\(\hookrightarrow\:\:\:{\boxed{\sf{\pink{(2a+3b)\times (1+2a-3b)}}}}\)

\(\mathfrak\blue{Hope\:It\:Helps\:!!!}\)

Twelve horses will take 18 hours to consume 36 bales of hay.

Given,Six horses eat 12 bales of hay in 12 hours We need to find,

Let's assume that 1 horse will eat 1 bale of hay in x hours.

As we know,6 horses will eat 12 bales of hay in 12 hours.

Now we can find x as follows:

For 1 horse, 1 bale of hay is consumed in x hours

So, for 6 horses, 6 bales of hay will be consumed in x hours.

Then,6 horses consume 12 bales of hay in 12 hours6 horses consume 6 bales of hay in 6 hours1 horse consumes 1 bale of hay in 6 hours

Now we have to find how many hours will 12 horses take to eat 36 bales of hay.

If 1 horse eats 1 bale of hay in 6 hours, then 12 horses will consume 12 bales of hay in 6 hours.

Therefore, 12 horses will consume 36 bales of hay in 18 hours.

So, the answer is: Twelve horses will take 18 hours to consume 36 bales of hay.

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If the zeros of the polynomial are {x₁, x₂, x₃,...} and the known point is  (x₀, y₀), then the polynomial can be written as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

Now, suppose that we are given the zeros of the polynomial and these are:

{x₁, x₂, x₃,...}

We can write a general polynomial with a leading coefficient A as:

P(x) = A*(x - x₁)*(x - x₂)*....

Now, to determine the value of A, we also need to know a point, let's suppose that the known point is (x₀, y₀), then we can rewrite:

P(x₀) = y₀ = A*(x₀ - x₁)*(x₀ - x₂)*....

y₀/(x₀ - x₁)*(x₀ - x₂)*.... = A

And in that way we can write the polynomial with the known zeros:

{x₁, x₂, x₃,...}

And known point  (x₀, y₀)

as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

we would then divide that number by 2 since we are finding the average between the two numbers

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

since both calculated numbers were equal, we know that we calculated the mean correctly.

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

ok so x*0.85=150

so x=176

Hope This Helps!!!

Answer:

-16 -14 -12

Step-by-step explanation:

This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

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The dimension of the larger shipping box is given as

The volume of a box is calculated by the formula

Substituting the given dimension

The explicit formula for the arithmetic sequence 37, 74, 111, 148 can be given as Tn = 37 + 37(n-1).

There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the same" (or) In an arithmetic sequence, "each term is generated by adding a fixed number" (positive, negative, or zero) to its predecessor.

An = a1 + (n - 1) d determines the nth term of an arithmetic sequence of letters a1, a2, a3,... The broad phrase for the arithmetic sequence is another name for this. The knowledge that the arithmetic sequence a1, a2, a3,... = a1, a1 + d, a1 + 2d, a1 + 3d, leads straight to this.

Let us observe the given series 37,74,111,148

Here, the first term (a) = 37

Common difference(d) = 74-37 = 37

Hence, the given series is in Arithmetic progression.

Hence the nth term of the series is given by:

\(T_n = a+(n-1)d\)

Substituting the values of 'a' and 'd' we get

a = 37 and d = 37

\(T_n = 37+(n-1)37\)

Therefore, the required explicit formula is Tn = 37 + 37(n-1).

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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0=0

For the full explanation simply copy and paste your equation to your device browser.

Answer:

2p+15-11p=3(5-3p)

2p-11p+15=15-9p

-9p+9p=15-15

p£R

Answer:

0

Step-by-step explanation:

there are no more pencils that are niether blue or red

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

B=28

Step-by-step explanation:

The answers to all the subparts are shown:

(A) So, we know that: 1 liter = 10 decilitre

So, the consumption of the fuel = 60 - 34 = 26 litres.

(B) Cost of 60 liters of fuel if 1 liter is € 1.45:

(C) Liters of fuel he could buy from € 58:

Therefore, the answers to all the subparts are shown:

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The correct question is given below:
Giorgio fills up his car which is 60 liters. After a certain distance, 340 deciliters remained in the tank.

(A) How many liters did it consume?

(B) How much did you spend if 1-liter costs € 1.45?

(C) How many liters of petrol can you buy for € 58?

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. The approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

The empirical rule is a rule of thumb that states that, in a normal distribution, almost all of the data (about 99.7 percent) should lie within three standard deviations (denoted by σ) of the mean (denoted by μ). Using this rule, we can determine the approximate percentage of women who have platelet counts within two standard deviations of the mean or between 118.4 and 374.8.

The mean is 2466, and the standard deviation is 64.1. The range of platelet counts within two standard deviations of the mean is from μ - 2σ to μ + 2σ, or from 2466 - 2(64.1) = 2337.8 to 2466 + 2(64.1) = 2594.2. The approximate percentage of women who have platelet counts within this range is as follows:

Percentage = (percentage of data within 2σ) + (percentage of data within 1σ) + (percentage of data within 0σ)= 95% + 2.5% + 0.7%= 98.2%

Therefore, approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. (Type an integer or a decimal. Do not round.)

The lower limit of the range of platelet counts is 182.5 and the upper limit is 310.72. The Z-scores of these values are calculated as follows: Z-score for the lower limit= (182.5 - 2466) / 64.1 = - 38.5Z

score for the upper limit= (310.72 - 2466) / 64.1 = - 20.11

Using a normal distribution table or calculator, the percentage of data within these limits can be calculated. Percentage of women with platelet counts between 182.5 and 310.72 = percentage of data between Z = - 38.5 and Z = - 20.11= 0Therefore, the approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

Approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. The approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

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Answer:

x < -5

Step-by-step explanation:

-0.6x > 3

=> Dividing 0.6 on both sides

=> -x > 3/0.6

=> -x > 5

=> x < -5     [When we multiply -1 on both sides the sign changes]

The solution to the inequality -0.6x > 3 is x < -5.

To solve for x in the inequality -0.6x > 3, we need to isolate x on one side of the inequality.

First, to divide both sides of the inequality by -0.6 to remove the coefficient in front of x.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

So, dividing both sides by -0.6 gives

x < 3 / -0.6

Simplifying the right side of the inequality, we have:

x < -5

Therefore, the solution to the inequality -0.6x > 3 is x < -5.

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Answer:

Where is your question?

Answer:

x=5

Step-by-step explanation:

The absolute value is positive, so the equation stays the same:

2x-2=8

Add 2 on both sides:

2x=10

Solve:

x=5

Answer:

x=29/12

Step-by-step explanation:

Let's solve your equation step-by-step.

12x−21=8

Step 1: Add 21 to both sides.

12x−21+21=8+21

12x=29

Step 2: Divide both sides by 12.

12x/12 = 29/12

x=29/12

Answer:

PW = WQ

Step-by-step explanation:

We have no information on segments PW and WQ, so the answer is

PW = WQ

The first two terms in the sequence that are less than zero are -6 and -18.

To find the first two terms in the sequence that are less than zero, let's analyze the given sequence: 26, 20, 32. Since none of these terms are less than zero, we need to generate additional terms to identify the first two terms that satisfy this condition.

Let's assume the next term in the sequence follows a pattern where we add or subtract a constant value. We can observe that the first term (26) decreases by 6 to reach the second term (20), and then increases by 12 to reach the third term (32). Based on this pattern, we can continue generating terms in the sequence.

The fourth term would be obtained by subtracting 6 from the third term: 32 - 6 = 26.

The fifth term would be obtained by adding 12 to the fourth term: 26 + 12 = 38.

The sixth term would be obtained by subtracting 6 from the fifth term: 38 - 6 = 32.

Continuing this pattern, we can see that the sequence alternates between subtracting 6 and adding 12.

Now, let's check which terms in the sequence are less than zero:

The first term less than zero is -6, which is obtained by subtracting 6 from the fourth term.

The second term less than zero is -18, which is obtained by subtracting 6 from the fifth term.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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