Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula l⋅w, where l represents the length, and w represents the width. The floor of the shed will have measurements of either l=8 and w=6 or l=7 and w=7. What is the area of the larger floor?

The measurement of the Arc(IJK) is 259 degree.

According to the statement

we have to find the measurement of the arc ikj.

So, For this purpose, we know that the

The given measurement of the arc are:

mik = (11x + 2)°, and mjk = (12x-7)°.

It means

Arc(ik) is equivalent to the  Arc(jk)

For more understanding please see the mage below.

So, Take m on the both sides then it become

mArc(ik) is equivalent to the  mArc(jk)

Now take this equal to each other then

11x + 2 = 12x-7

11x -12x = -7-2

-x = -9

here x = 9 then

The measure of mArc(IK) is

11x + 2

11(9) + 2

99+2

101 degree.

then the

The measure of Arc(IJK) is

Arc(IJK) = 360 - mArc(IK)

Arc(IJK) = 360 - 101

Arc(IJK) = 259 degree.

So, The measurement of the Arc(IJK) is 259 degree.

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Answer:

y = - 28

Step-by-step explanation:

y/4 = - 7

y = (-7)*(4)

y = -28

There are 325 ways we can write two different letters so that they are in alphabetical order.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).

A k-combination of a set S is officially defined as a subset of S's k unique elements.

We have 25 ways to have the combo A_

Then 24 ways to have the combo  B_

The number of combos = 25 * (26/ 2)  

                                       = 25 * 13  

                                       = 325  ways

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Since, 3 ¼ = ¾. So,  Â¾ is equivalent to 3 ¼. Since ¾ is written as 0.75 in fractional notation.

The fraction ¾, which is equivalent to 0.75, is shown by the fractional notation "â...". The bottom number, or denominator, must be multiplied by the top number in order to comprehend this fraction (top number). 4 times 3 in this instance equals 12, which is true. Find the fractional value by first dividing the numerator by the denominator. In this case, the result of 3 divided by 4 is 0.75, or 3/4.

To calculate a fractional value, use the following formula:

Fractional Value: Numerator / Denominator:

The numerator is multiplied by the denominator to arrive at 12 when calculating the fractional value of 3/4. Following that, the fractional value is obtained by dividing the numerator by the denominator:

Fractional value equals 3 / 4 = 0.75

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a) The explanatory variable is price. This is because the model is predicting sales based on price (b) The response variable is sales. This is because the model is predicting the amount of sales based on the price.

The explanatory variable is the independent variable in a regression model. It is the variable that is hypothesized to cause or influence the dependent variable. In this case, the explanatory variable is price. The model predicts that sales will increase as price decreases.

Response variable

The response variable is the dependent variable in a regression model. It is the variable that is hypothesized to be caused or influenced by the independent variable. In this case, the response variable is sales. The model predicts that sales will decrease as price increases.

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solution

For this case we can do the following:

Then the final answer for this case would be 0

Answer:

0

Step-by-step explanation:Velocity at t= 0s is 20m/s and the velocity at t= 10s is 20m/s.

a= 20-20/ 10s

a=0m/s

Answer: answer is 0

Step-by-step explanation:

That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

Answer:The answer is 2 if you use a calculator.

Step-by-step explanation:

Answer:

7cd(ab-3be+2ef)

Step-by-step explanation:

they all have the number 7 In common so you take that out and you take out whatever letters they have in common

Answer:

7cd(ab - 3be + 2ef

Step-by-step explanation:

Simplify:

    7abcd = 7 * a * b* c * d

  21bcde = 7 * 3 * b * c * d * e

   14cdef = 7 * 2 * c * d * e * f

GCF = 7 cd

7abcd - 21bcde + 14cdef = 7cd*( ab  - 3be + 2ef)

Answer:

A.) combinations of the hours he can work at the two jobs and earn at least $300

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

cos(-315)° = cos 315°

cos 315° = cos 45°

This is equal to

\(\frac{1}{\sqrt{2}}\)

Answer:

17 + 6i

Step-by-step explanation:

(2 + 3i)(4 - 3i) ← expand product using FOIL

= 8 - 6I + 12I - 9I² ( note i² = - 1 )

= 8 + 6i - 9(- 1)

= 8 + 6i + 9

= 17 + 6i

The x value for the point located 2/3 the distance from A to B is 2.67. This can be found by calculating the midpoint between A and B, which is (2, 1.5), and then taking 2/3 of the x component (2).

1. Calculate the midpoint between A and B: (0 + 4) / 2 = 2 and (0 + 3) / 2 = 1.5

2. Take 2/3 of the x component of the midpoint: 2/3 * 2 = 2.67

The  value x for the point located 2/3 the distance from A to B can be found using a few simple steps. First, we need to calculate the midpoint between A and B. This can be done by adding the x and y components of the two points and then dividing by 2. For our points A and B, this gives us the midpoint (2, 1.5). Now, we need to take 2/3 of the x component of the midpoint (2). This gives us 2/3 * 2 = 2.67. This means that the x value for the point located 2/3 the distance from A to B is 2.67. This process can also be used to determine the y value for the point, which is 1.

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Answer:1

Step-by-step explanation:

2/3 jug = 3 weeks

3*(2/3 jug) = 3*(3 weeks) ... multiply both sides by 3

2 jugs = 9 weeks

2/9 jugs = 9/9 weeks ... divide both sides by 9

2/9 jug = 1 week

Answer: 3, -1, 1/2, -1/2, 3

Step-by-step explanation:

The common ratio is the number you must multiply the preceding term by to get the next term.

The volume of the rectangular pyramid with a length of 8m, width of 5m and height of 12m is 160 m³.

A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where l is the base length, w is the base width and h is the height of the pyramid.

From the diagram:

Length l = 8 meters

Width w = 5 meters

Height h = 12 meters

Volume V = ?

Plug the given values into the above formula and solve for the volume:

V = (1/3) × l × w × h

V = (1/3) × 8 × 5 × 12

V = 160 m³

Therefore, the volume of the pyramid is 160 m³.

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Answer: 64 ; $28

Step-by-step explanation:

A. Billy collected 256 conks but lost ¾ of them on his way to school through a hole in his bag. When he arrived at school how many conks did Billy had left?

Number of conks collected by Billy = 256

Fraction lost = 3/4

Amount lost = 3/4 × 256 = 192

Number of conks Billy has left will be:

= 256 - 192

= 64

B. Skateboards cost €36 each in my local store. The shopkeeper says if I buy one I can buy another for only 7/9 of the normal price. How much would a second skateboard cost?

This will cost:

= 7/9 × $36

= 7 × $4

= $28

Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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To minimize the miles of fiber optic cable needed for the telecommunications firm's project, the studio should be located at a central point that is equidistant from all the community college distance learning sites.

This will ensure that the cable runs are minimized and that the loads are evenly distributed among the different sets of cables. Additionally, careful planning and mapping of the cable routes can help to optimize the placement of the studio and minimize any additional cable runs or costs.

Overall, the goal should be to create the most efficient and cost-effective network design that meets the needs of the telecommunications firm and its customers.

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The strength of the impulse signal g(t) is -9. This implies that the impulse has a magnitude of 9 and a negative direction, indicating a sudden decrease or change in the system being modeled by the impulse response.

To determine the strength of the impulse signal g(t) = -9∂(-4t), we need to evaluate the integral of the impulse signal over an infinitesimally small interval around the point where the impulse occurs.

In this case, the impulse is located at t = 0, and the impulse signal can be written as g(t) = -9δ(-4t), where δ represents the Dirac delta function. The Dirac delta function is defined such that its integral over any interval containing the origin is equal to 1.

When we substitute t = 0 into the impulse signal, we have g(0) = -9δ(0). Since the delta function evaluates to infinity at t = 0, we multiply it by a constant factor to make the integral finite. Therefore, the strength of the impulse is given by the constant factor in front of the delta function, which is -9.

Hence, the strength of the impulse signal g(t) is -9. This implies that the impulse has a magnitude of 9 and a negative direction, indicating a sudden decrease or change in the system being modeled by the impulse response.

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Answer:

4200

Step-by-step explanation:

Time taken by Lester 30 seconds

Time taken by Ralph = 35 seconds

Their rate :

Lester = 1/time taken = 1/30

Ralph = 1/ time taken = 1/35

Combined rate:

1/30 + 1/35 = (35 + 30) / 1050 = 65 / 1050 = 0.0619047 per boot

Time taken = number of boots / combined rate per boot

Time taken = 260 / 0.0619047

Time taken = 4200 seconds

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James

The probability that bin 1 contains exactly 3 balls would be 0.015. Probabilities can be expressed as fractions, decimals, or percentages, and they can be used to make predictions or to quantify uncertainty.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. For example, if the probability of it raining tomorrow is 0.3, it means that there is a 30% chance of it raining tomorrow. In addition, probability theory is a branch of mathematics that studies the probability of events, and it plays an important role in many areas such as statistics, finance, and science.

The probability that bin 1 contains exactly 3 balls out of the 10 balls placed is given by the binomial probability mass function with parameters n = 10 and k = 3, and probability of success p = 1/20. Therefore, the probability is given by:

(10 choose 3) * \((1/20)^3\) * \((19/20)^7\) = 120 * (1/8000) * \((19/20)^7\) = 120/8000 = 0.015

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The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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Sneha's current age is 16 years old. Sneha's mother is 44 years old.

Let's assume Sneha's current age is x.

Sneha's mother's current age = 2x + 12

After 8 years, Sneha's age = x + 8

After 8 years, Sneha's mother's age = 2x + 12 + 8 = 2x + 20

After 8 years, Sneha's mother's age will be 20 less than three times Sneha's age: 2x + 20 = 3(x + 8) - 20

Now we can solve for x:

2x + 20 = 3(x + 8) - 20

2x + 20 = 3x + 24 - 20

2x + 20 = 3x + 4

x = 16

Therefore, Sneha's current age is 16 years old.

Sneha's mother's current age = 2x + 12

= 2(16) + 12 = 44

So, Sneha's mother is 44 years old.

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Answer:

radicial expressions

Step-by-step explanation:

Answer:

\(D\)

Step-by-step explanation:

\(\frac{4^{1/4}b^{3/4}}{a^{1/2} }\)

\(\frac{\sqrt{2} * b^{3/4} }{\sqrt{a} }\)