Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16

Id she walks 2 miles every 12 minutes

2 4 6. 8 10

12 24 26 48 60

60 is an hour therefore she'll walk 10 miles per hour.

Answer:

6 miles per hour

Step-by-step explanation:

12 divided by 2 is 6 miles per hour

Answer:

x = 6

Step-by-step explanation:

x:(x + 3) = 2:3

\( \frac{ \\ x}{x + 3} = \frac{2}{3} \)

cross multiply

3x = 2(x + 3)

3x = 2x + 6

subtract (2x) from both sides

3x – 2x = 2x – 2x + 6

x = +6

x = 6

Answer:

leg = √7 units (approximately 2.65 units)

Step-by-step explanation:

Given a right isoceles triangle with a hypotenuse of 14 units, the two other legs must be congruent in length. Because this is a right triangle, the pythagorean theorem a^2 + b^2 = c^2, can be used.

Since the two legs are congruent, side a = side b. This means that

2leg^2 = hypotenuse.

_____________

2leg^2 = 14 units

÷ 2. ÷2

_____________

leg^2 = 7 units

√ √

____________

leg = √7 units

Answer:

You know 9+3=12 , So Even it out 6 on 1 pan and 6 on the other it will balance.

Answer:

200 units³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Substitute with the given values:

V = lwh

V = (10)(4)(5)

Multiply:

V = (10)(4)(5)

V = (40)(5)

V = 200

Therefore, the volume of the rectangular prism is 200 cubic units.

The value of x is 726 ft.

We have,

Perimeter of the property= 3279 feet

Now, the shape of the property is Trapezium.

and, the dimension of trapezoidal property is

x + 74, x +27, x+ 274 and x

So, the perimeter of trapezoid

3279 = sum of length of side

3279 = x + x + 74 + x + 27 +  x +274

3279 = 4x  + 375

4x = 2904

x = 726 ft

Thus, the value of x is 726 ft.

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The width of the interval will be is 5 or ( 49.5 , 54.5 ) .

Given :

The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.

Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit.

Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5

Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.

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The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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Answer:

0.27

Step-by-step explanation:

If you subtract 1.07 from 1.34 it would equal 0.27.

Answer:

± S 4 π.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Among the four days, Day Two had the coldest temperature, with a reading of -7°F.

The coldest day among the four days was Day Two, with a temperature of -7°F.

To explain it with examples, let's compare the temperatures of each day:

Day One: −5°F

Day Two: −7°F

Day Three: +10°F

Day Four: −8°F

Comparing Day One and Day Two, we can see that -7°F (Day Two) is colder than -5°F (Day One). Therefore, Day Two had a colder temperature than Day One.

Comparing Day Two and Day Three, we can see that -7°F (Day Two) is much colder than +10°F (Day Three). Day Two has a negative temperature, indicating it is colder than freezing (32°F), while Day Three has a positive temperature above freezing. Therefore, Day Two had a colder temperature than Day Three.

Comparing Day Two and Day Four, we can see that -7°F (Day Two) is colder than -8°F (Day Four). Both temperatures are negative, but -7°F is higher than -8°F, indicating that Day Four was slightly colder than Day Two.

In summary, among the four days, Day Two had the coldest temperature, with a reading of -7°F.

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the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

(-5, -2)

Step-by-step explanation:

Given inequalities:

\(4w+3 > -17\)

\(3w-6 < -12\)

Solve each inequality.

\(\begin{aligned}\implies 4w+3 & > -17\\4w & > -20\\w& > -5\end{aligned}\)

\(\begin{aligned}\implies 3w-6 & < -12\\3w& < -6\\w& < -2\end{aligned}\)

Therefore, combining the solutions gives:

\(-5 < w < -2\)

Therefore, the solution to the compound inequality in interval notation is (-5, -2).

Answer:

given,triangle EFG is congruent to triangle HIJ,THEIR corresponding sides are equal,

so, 10x=x+45

10x_x=45

or,9x=45

therefore , x=5

again,

3y = y+14

or, 3y_y=14

or, y=14/2

therefore the value of y is 7.

so the value of x is 5 and y is 7.

hope its helpful to uh...

Answer:

It is so easy u should get this right.

First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40

so it b 40.

Step-by-step explanation:

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

Given that, in a circle whose centre is O, arc AB contains 100°.

We need to find the number of degrees in ∠ABO.

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

According to the theorem ∠ABO=1/2 × arc AB.

So, ∠ABO=1/2 × 100°=50°

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

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We need to evaluate the following expression:

Where S is equal to 108, L is equal to 7 and W is equal to 3. We have:

The paired t-test statistic is infinity, which indicates a significant difference in the means of math scores and science scores.

Let's consider an example of a paired t-test and a two-sample t-test on a dataset of 5 students' scores in two different exams: math and science. Let's assume that the students took both exams, and their scores are paired. We want to test whether there is a significant difference in the means of math scores and science scores.

We calculate the difference between each student's math score and science score and compute the mean difference and standard deviation of the differences:

Student Math Score Science Score Difference

1                      80      75                        5

2                      90      85                        5

3                      85      80                        5

4                       95      90                        5

5                    75              70                        5

Mean difference = 5

Standard deviation of differences = 0

We can calculate the paired t-test statistic as:

t = (mean difference - hypothesized difference) / (standard deviation of differences / square root of sample size)

Let's assume the hypothesized difference is 0 (i.e., there is no difference between the means). Then the t-test statistic is:

t = (5 - 0) / (0 / √(10)) = infinity

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\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer:

sqrt(x) where x is between 81 and 100; example sqrt(88). See explanation for more examples.

Step-by-step explanation:

9=sqrt(81) and 10=sqrt(100)...

So the square root(x) is between 9 and 10 if x is between 81 and 100.

Here are examples:

sqrt(82)

sqrt(83)

sqrt(85.6)

sqrt(92)

sqrt(94)

sqrt(97)

sqrt(99)

sqrt(99.6)

So again the answer is just anything in form sqrt(x) where x is between 81 and 100. The reasoning is because sqrt(81)=9 and sqrt(100)=10 which puts the values we stated between those values.

Answer:

v= 141.3

v= pi × r^2 × h

v= 3.14 × 3^2 × 5

v= 3.14 × 9 × 5

v=141.3

Step 1: Write out the function

Step 2: Evaluate the functions at x=1,3,4 and 6

Step 3: Compute f(6)/f(4)

Step 4: Compute f(3)/f(1)

Step 5: Compare f(6)/f(4) and f(3)/f(1)

Therefore,

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

There are 1500 different 4 digit numbers where the first digit is odd and the second digit is a multiple of 3

Step-by-step explanation:

4 digit numbers are those with 4 digits e.g, 1000 is a 4 digit number,

Now, the first digit number has to be odd,

which gives us 1, 3, 5, 7, 9 so, 5 numbers.

The second digit has to be a multiple of 3, since the digits can range from 0 to 9, we have for the multiples,

3, 6, 9, so 3 numbers. (i.e. the 2nd digit can be either 3, or 6 , 9)

The last 2 digits can be any number from 0 to 9 i.e 10 numbers,

The total combination of these 4 digits is then,

(5)(3)(10)(10) = 1500 different 4 digit numbers

Answer:

60%. please give brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a + 0.5a = 1a + 0.5a = (1+0.5)a = 1.5a

The number of ways to roll a total of 24 with four 10-sided dice is 2925.

To solve this problem using inclusion-exclusion, we need to consider all possible ways to roll a total of 24 with the four 10-sided dice, and then subtract the number of cases where at least one die rolls a number greater than 10.

However, we also need to add back the number of cases where at least two dice roll a number greater than 10, since they were subtracted twice.

Let A be the event that at least one die rolls a number greater than 10, and let B be the event that at least two dice roll a number greater than 10. Then we can use the inclusion-exclusion principle:

N(A) = total number of ways to roll 24 with four 10-sided dice = (number of solutions to x1 + x2 + x3 + x4 = 24) = C(24 + 4 - 1, 4 - 1) = C(27, 3) = 2925

N(B) = total number of ways to roll 24 with at least two dice greater than 10

If two dice are greater than 10, then their sum can be 11, 12, ..., 18, for a total of 8 possibilities. For each of these cases, we need to find the number of ways to distribute the remaining 16 points among the four dice, where each die can have any value from 1 to 10. This can be done using stars and bars:

For 11, the remaining 16 points can be distributed among 4 dice in C(16 + 4 - 1, 4 - 1) = C(19, 3) = 969 ways.

For 12, the remaining 16 points can be distributed among 4 dice in C(14 + 4 - 1, 4 - 1) = C(17, 3) = 680 ways.

For 13, the remaining 16 points can be distributed among 4 dice in C(12 + 4 - 1, 4 - 1) = C(15, 3) = 455 ways.

For 14, the remaining 16 points can be distributed among 4 dice in C(10 + 4 - 1, 4 - 1) = C(13, 3) = 286 ways.

For 15, the remaining 16 points can be distributed among 4 dice in C(8 + 4 - 1, 4 - 1) = C(11, 3) = 165 ways.

For 16, the remaining 16 points can be distributed among 4 dice in C(6 + 4 - 1, 4 - 1) = C(9, 3) = 84 ways.

For 17, the remaining 16 points can be distributed among 4 dice in C(4 + 4 - 1, 4 - 1) = C(7, 3) = 35 ways.

For 18, the remaining 16 points can be distributed among 4 dice in C(2 + 4 - 1, 4 - 1) = C(5, 3) = 10 ways.

So, the total number of ways to roll 24 with at least two dice greater than 10 is:

N(B) = 8*(969 + 680 + 455 + 286 + 165 + 84 + 35 + 10) = 38304

By the inclusion-exclusion principle, the number of ways to roll a total of 24 with four 10-sided dice is:

N = N(A) - N(B)

N = 2925

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Answer:

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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