If a section of a line graph is flat, what does that indicate?

A. a mistake in the graph

B. an increase

C. a decrease

D. no change

Step-by-step explanation:

the answer is how many times does 0.225 l fit wholly into 5 l :

5 / 0.225 = 22.22222222...

so, she can fill 22 glasses fully.

22 × 0.225 = 4.95 l

so, she has at the end (after filling the 22nd glass) 0.050 l (= 50 ml) left.

Step-by-step explanation:

the formula is too long so the link is below:

https://www.geteasysoloution.com/1/3x+12=x-4

Answer:

  x = 3 1/2

Step-by-step explanation:

You could simplify the given equation first, then solve the resulting 2-step linear equation. It might work better to undo the operations done to the variable.

  (5 1/6 -x)(2.7) -5 3/4 = -1 1/4 . . . . . given

  (5 1/6) -x)(2.7) = 4 1/2 . . . . . . . add 5 3/4 to both sides

  (5 1/6 -x) = 4.5/2.7 = 5/3 . . . divide by 2.7

  31/6 -10/6 = x . . . . . . . . . . add x-5/3, use common denominators

  21/6 = x = 7/2

  x = 3 1/2

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

\(\rm a_n=3+a_n_-_1\) and

\(\rm a_1=5\)

\(\rm a_n-a_n_-_1= 3\)

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

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Mountain Mack can carve 60 fishing lures and 50 duck decoys in a week.

Let's denote the number of fishing lures carved by Mountain Mack as "L" and the number of duck decoys carved as "D". Based on the given information, we can set up a system of equations: When Mountain Mack spends all his time carving fishing lures, he can  carve 60 lures in a week:

L = 60

When Mountain Mack spends all his time carving duck decoys, he can carve 50 decoys in a week:

D = 50

For every 10 duck decoys carved, Mountain Mack must give up 12 fishing lures:

12 * (D / 10) = L

Now, let's solve the system of equations to find the values of L and D.

From equation (3), we can simplify it as:

12 * (D / 10) = L

12D/10 = L

6D/5 = L

Substituting L = 60 into the equation above:

6D/5 = 60

Solving for D:

6D = 5 * 60

D = 300/6

D = 50

So, we find that D = 50, which matches the information given.

Now, substituting D = 50 into equation (2):

L = 6D/5 = 6 * 50/5 = 60

Therefore, L = 60, which also matches the information given. Hence, the values of L and D satisfy all the given conditions.

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Answer: 5 cm

Step-by-step explanation:

B = \(\sqrt{13^{2} -12^{2} } = 5\)

Answer:

OPTION C, 5

Step-by-step explanation:

Using the formula, substitute the hypotenuse and the other leg of the right triangle.

13²=12²+b²

Rearrange appropriately.

13²-12²=c²

Convert.

13²=169

12²=144

Apply and work out.

169-144= 25

c²=25

c=√25

c=5

OPTION C is therefore the answer.

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Answer: 1, 2

Step-by-step explanation:

The mode is the value that occurs the most often in a set of data.

The modes of the data set in question are 1 and 2. That is because both 1 and 2 have the highest number of occurrences.

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

50/9=5.55555555556

or

9/50=0.18

The remaining balance of the car loan after 28 payments of $487.83 can be calculated to be $20,506.77.

To calculate this, we first need to find the monthly interest rate. We can do this by dividing the annual interest rate (4.2%) by 12 months, giving us a monthly interest rate of 0.35%.

Next, we can use the formula for the present value of an annuity to find the amount of the remaining balance. The present value formula is:

PV = C * ((1 - \((1 + r)^{-n\)) / r)

where PV is the present value (or remaining balance), C is the regular payment amount, r is the monthly interest rate, and n is the total number of payments.

In this case, C = $487.83, r = 0.35%, and n = 6 years * 12 months/year = 72 months - 28 months = 44 months (since 28 payments have already been made). Plugging these values into the formula, we get:

Therefore, the remaining balance of the car loan after 28 payments of $487.83 is $20,506.77.

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The answer is C. Sections 1, 3, and 4.

The sum of 488 in scientific notations is 4.88 × 10^1.

We are given that;

The number = 488

Now,

488 in scientific notation

Step 1: Move the decimal point so that there is only one non-zero digit to the left of it.

488.0

The decimal point is moved one place to the left.

4.88

Step 2: Write the number as a product of the decimal and a power of 10.

The decimal point was moved one place to the left, so the exponent is 1.

4.88 × 10^1

Therefore, by the algebra the answer will be 4.88 × 10^1.

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Answer:

The answer is B.

The owner's claim is incorrect. Since the highest bar is those that make between $50,000 and $100,000, the average salary would be about $75,000 since that is the mode.

b) To find the joint density of the minimum and maximum of the U_i's, we can use the following approach:

Let M = min(U_1, U_2, U_3, U_4, U_5) and let X = max(U_1, U_2, U_3, U_4, U_5). Then we have:

P(M > m, X < x) = P(U_1 > m, U_2 > m, U_3 > m, U_4 > m, U_5 > m, U_1 < x, U_2 < x, U_3 < x, U_4 < x, U_5 < x)

Since the U_i's are independent and uniformly distributed on (0,1), we have:

P(U_i > m) = 1 - m, for 0 < m < 1

P(U_i < x) = x, for 0 < x < 1

Substituting these expressions, we get:

P(M > m, X < x) = (1 - m)^5 * x^5

Therefore, the joint density of M and X is:

f(M,X) = d^2/dm dx (1-m)^5 * x^5 = 30(1-m)^4 * x^4, for 0 < m < x < 1.

c) To find P(R > 0.5), we need to find the probability that the distance between the minimum and maximum of the U_i's is greater than 0.5. We can use the following approach:

P(R > 0.5) = 1 - P(R <= 0.5)

Now, R <= 0.5 if and only if the difference between the maximum and minimum of the U_i's is less than or equal to 0.5. Therefore, we have:

P(R <= 0.5) = P(X - M <= 0.5)

To find this probability, we can integrate the joint density of M and X over the region where X - M <= 0.5:

P(R <= 0.5) = ∫∫_{x-m<=0.5} f(M,X) dm dx

The region of integration is the triangle with vertices (0,0), (0.5,0.5), and (1,1). We can split this triangle into two regions: the rectangle with vertices (0,0), (0.5,0), (0.5,0.5), and (0,0.5), and the triangle with vertices (0.5,0.5), (1,0.5), and (1,1). Therefore, we have:

P(R <= 0.5) = ∫_{0}^{0.5} ∫_{0}^{m+0.5} 30(1-m)^4 * x^4 dx dm + ∫_{0.5}^{1} ∫_{x-0.5}^{x} 30(1-m)^4 * x^4 dm dx

Evaluating these integrals, we get:

P(R <= 0.5) ≈ 0.5798

Therefore,

P(R > 0.5) = 1 - P(R <= 0.5) ≈ 0.4202.

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Answer:

160 minutes or two hours and 40 minutes

Step-by-step explanation:

        First, let's divide 2 hours of total work by the 15 minutes chunks she does.

2 hours = 120 minutes

120 minutes / 15 minutes = 8

        She will have 8 sessions of studying with a break. Now we can calculate the total.

[] 120 minutes of studying

[] 8 * 5 minute break = 40 minutes of break

[] 120 + 40 = 160 minutes

a. Null distribution is expected to be centered at the hypothesized proportion, which is 0.25.

b. Null distribution is expected to be centered at 25.

a. If you are using a proportion as your statistic, you expect the null distribution to be centered at the hypothesized proportion, which is 0.25 in this case.

b. If you are using a count as your statistic, you expect the null distribution to be centered at the expected count, which is np under the null hypothesis, where n is the sample size and p is the hypothesized proportion. In this case, np = 100 * 0.25 = 25.

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Answer:

This is how you convert

Step-by-step explanation:

Feet per minute is speed unit, symbol: [fpm]. Definition of 1 feet per minute ≡ 1 ft / 60 s = 30.48 cm / 60 s. The speed with which the body moves 1 foot (or 30.48 centimetres) in 1 minute.. Compared to metre per second, feet per minute is smaller unit.

The results of the Monte Carlo simulation study provided insights into the influence of within-case variability on the accuracy of the tau-u indices and the hierarchical linear modeling approach for multiple-baseline design data.

The impact of within-case variability on tau-u indices and the hierarchical linear modeling approach for multiple-baseline design data was investigated in a Monte Carlo simulation study.
To understand the impact of within-case variability on tau-u indices, researchers conducted a Monte Carlo simulation study using a hierarchical linear modeling approach for multiple-baseline design data.
The study aimed to assess how within-case variability affects the tau-u indices, which are measures used to estimate the treatment effect in single-case research designs.
During the simulation study, various scenarios were created to examine the impact of different levels of within-case variability on the tau-u indices.
By manipulating the within-case variability and running multiple simulations, the researchers were able to observe how the tau-u indices varied under different conditions.
The results of the Monte Carlo simulation study provided insights into the influence of within-case variability on the accuracy of the tau-u indices and the hierarchical linear modeling approach for multiple-baseline design data.

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If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

Answer:

Step-by-step explanation:

You will have to find what times what = 80 so 8 x 10 = 80 so the answer is 8

Answer:

Rectangle B is 8 units long.

Step-by-step explanation:

One way to Figure it out is to take 80 (rectangle A) and divide it by 10.

80/10 = 8

Answer:

y=\(\frac{x+9}{n}\)

Step-by-step explanation:

x/y=n-9

x= y(n-9)

x= yn-9n

-yn= -x-9n

yn= x+9n

y=\(\frac{x+9}{n}\)

Answer: 412.5 ml

Step-by-step explanation:

500 ( 1 - 25%) ( 1 + 10%)

= 412.5 ml

Answer:

412.5 ml

Step-by-step explanation:

To decrease 500 ml by 25%, you would need to multiply 500 by 0.25 to find the amount of decrease:

Subtract that amount from the original value:

Therefore decreasing 500 ml by 25% would give us 375 ml.

To then increase this value by 10%, you would multiply it by 0.10 to find the amount of increase:

Now, add that amount to the previous value:

Therefore, if you decrease 500 ml by 25% and then increase it by 10%, the final result is 412.5 ml.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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(a) The center of the sphere is in the first octant and is tangent to the xz-plane and to the yz-plane. This means that the center of the sphere is at a point of the form (a,b,5) where a,b≥0. The distance from the origin to the center of the sphere is  \(\sqrt{43}\), so we have \(x^{2} +x^{2} +(5-0)^{2} =43\) This gives us \(a^{2} +b^{2} =38\)

The radius of the sphere is the distance from the center of the sphere to the point where the sphere touches the xz-plane. This distance is equal to the length of the hypotenuse of a right triangle with legs of length a and b. Therefore, the radius of the sphere is \(\sqrt{a^{2}+ b^{2} } =\sqrt{38}\)

The equation of the sphere is \((x-a)^{2}+ (y-b)^{2}+ (z-5)^{2} =38\)

(b) The point where the sphere touches the xz-plane is (a,0,5). The distance between the origin and this point is \(\sqrt{a} ^{2}+\sqrt(5-0)^{2} =\sqrt{a^{2} +25}\)

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Answer:

800 times 10 is =800×10

800×10×10

800×100

=80,000

I think this is the answer so try it sorry for the last results

The weight of each one of the five little girls if taken separately is 242.4 lb.

The weight of each girl can be determined from the average weight of the girls.

Weight of each girl = (Total weight) / number of girls

W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5

W = 1,212/5

W = 242.4 lb

Thus, the weight of each one of the five little girls if taken separately is 242.4.

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Answer:  Coefficient

Reason: The coefficient is the number to the left of the variable.

Answer:

Zeb will pay $119.84 per month from next year.

Step-by-step explanation:

Given

Monthly Payment of Zeb's health insurance = $107

Percentage increase = 12%

In order to find the insurance premium for next year we have to find the 12% of current insurance

\(increase = 12\%\ of\ 107\\= 0.12*107\\=12.84\)

Zeb will have to pay previous monthly insurance plus increase each month from next year

\(= 107+12.84 = 119.84\)

Hence,

Zeb will pay $119.84 per month from next year.

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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