All of these rectangles have an area of 12 square inches. Each square represents 1 square inch. Which rectangles do not have a perimeter of 14 inches?​

The expression that evaluates to true if and only if the units digit of an integer variable x is less than 8 is :x % 10 < 8 where % is the modulo operator that gives the remainder of x divided by 10. This expression works by extracting the units digit of x using the modulo operator and then checking if it is less than 8. If it is, the expression evaluates to true.

To evaluate the truth value of an expression, we need to first understand the conditions under which it would be true and the conditions under which it would be false. The expression in question is evaluating the units digit of an integer variable x, so we need to consider the possible values that the units digit can take.Let's start by considering the values that would make the expression true. We are told that the units digit of x must be less than 8. This means that the units digit can take on any value from 0 to 7. So if the units digit of x is any of these values (0, 1, 2, 3, 4, 5, 6, or 7), then the expression would be true.Now let's consider the values that would make the expression false. The expression only evaluates to true if the units digit is less than 8, so any value of the units digit that is greater than or equal to 8 would make the expression false. This means that if the units digit of x is 8 or 9, the expression would be false.

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By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

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The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

Answer:

55%

Step-by-step explanation:

first, you set up the problem as two fractions: 11 is to 20 as x is to 100. you cross multiply the 11 and 100, then divide that by 20 which gives you 55, which you divide by 100 for the percentage answer.

Answer:

C. 24 + 32

Step-by-step explanation:

Step 1 - Distribute

4 • 6 = 24

4 • 8 = 32

24 + 32

Answer:

20?.... seems right to me.

Step-by-step explanation:

9514 1404 393

Answer:

  20 kg

Step-by-step explanation:

The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.

Normally, we think of a month as 4 weeks.

  (4 wk)(5 kg/wk) = 20 kg

If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.

_____

If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...

  52/12 = 4 1/3 weeks/month

Multiplying that value by 5 kg/week will give 21 2/3 kg per month.

__

The answer depends on the assumption you make about weeks in a month.

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

f(x)=12x

Step-by-step explanation:

Like and give 5 star rating

Please brainlest

Answer:

y= 6x-8

Step-by-step explanation:

you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.

Answer:

Step-by-step explanation:

recall slope m is:

slope = m

m = (y2-y1) / (x2-x1)

point P1 (0,-8)  in the form (x1,y1)

point P2(1,-2)  in the form (x2,y2)

m = { -2-(-8) } / { 1-0 }

m = { -2+8 } / 1

m = 6 /1

m = 6

then plug in any point, I'll use P1

y - y1 = m(x -x1) (point-slope formula)

y - (-8) = 6*(x-0)

y+8 = 6x

y= 6x -8  (slope-intercept formula)  :)

Answer:

Step-by-step explanation:

Let the 2 consecutive integers be x and x+1.

x²+(x+1)²=1684

x²+(x+1)(x+1)=1684

x²+x²+x+x+1=1684

2x²+2x-1683=0

Using quadratic formular

Answer:

1/3 = 1 serving

2/3 =2 servings

1 cup= 3 servings

so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings

After considering all the given data we conclude that yes  41 is a square modulo 1 000 000, under the condition that both congruences x₂ ≡ 41 mod 26 and x₂ ≡ 41 mod 56 have solutions.

We can apply the Chinese Remainder Theorem (CRT) to solve this problem.

Firstly, we have to evaluate the solutions of x² ≡ 41 mod 26 and x² ≡ 41 mod 56.

For x² ≡ 41 mod 26, we clearly see that x² ≡ 15 mod 26 is a solution since 15² = 225 ≡ 41 mod 26.

For x² ≡ 41 mod 56, we can apply the fact that x² ≡ a mod p has solutions if and only if \(a^{(P-1)} /2\) ≡ 1 mod p (Euler's criterion).

Since p = 56 = 7 × 8, we have:

\(a^{(p-1)} /2\) = a²¹ ≡ (a⁷)³ ≡ (-1)³ ≡ -1 mod p

Hence, x² ≡ 41 mod 56 has no solutions.

Now we can apply CRT to find the solutions of x² ≡ 41 mod (26 × 56) = 1456.

Since gcd(26,56) = 2, we have:

26 × u + 56 × v = gcd(26,56) = 2

Evaluating  this equation gives us u = -13 and v = 6.

So, the solutions of x² ≡ 41 mod (26 × 56) are:

x ≡ (15 × 56 × 6 - (-13) × 26 × (-1)) mod (26 × 56) = 937 or

x ≡ (-15 × 56 × 6 - (-13) × (-26) × (-1)) mod (26 × 56) = 519.

Hence, there are two solutions for x modulo one million: 519 and 481.

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Answer:

Step-by-step explanation:

in this expression we have

two variables: 6x and 10p

one constant 5

3 terms

Answer:

B

Step-by-step explanation:

Trisha has $100. So she has to spend less than $100 or exactly 100 on her friends. The sign to represent this is ≤ ( the less than or equal to sign )

so if she has 4 friends and wants to spend x on each friend, she would spend a total of 4x on her 4 friends.

Remember that she has to spend less than or equal to $100. The equation to represent this is 4x ≤ 100

Answer:

-2 + 25

Step-by-step explanation:

2 times -1 = -2

5 times 5 = 25

Answer:

the 3rd answer

Step-by-step explanation:

To determine the probability that the ball selected shows an odd number, given that the ball is yellow, we need to consider the number of favorable outcomes (yellow balls showing odd numbers) and the total number of possible outcomes (yellow balls).

From the given information, we can identify two favorable outcomes: the yellow balls numbered 3 and 5.

Therefore, the probability that the ball selected shows an odd number, given that the ball is yellow, is:

Probability = (Number of favorable outcomes) / (Number of total outcomes)

= 2 / 3

= 2/3 ≈ 0.6667

Probability that the ball selected shows an odd number, given that the ball is yellow, is approximately 0.6667 or 66.67%.

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Answer:

Step-by-step explanation:

Total number of marbles:

Number of brown marbles made of glass:

Required probability:

Answer:

just divide and add x and y

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

2600 = 235x+15

-    1 5            - 15

2585           235x

/235             /235

11       = x

The length of 21 centimeters is equivalent to approximately 8.2677 inches.

To explain the conversion process further, we can say that a centimeter is a unit of length in the metric system, while an inch is a unit of length in the imperial system. To convert 21 centimeters to inches, we need to use a conversion factor that relates the two units of length that is the factor between centimeters and inches.

The conversion factor between centimeters and inches is 2.54, which means that one inch is equal to 2.54 centimeters.

1 inch = 2.54 centimeters.

We can use this conversion factor to convert 21 centimeters to inches as follows: we divide the number of centimeters by 2.54, which gives us the equivalent number of inches.

21 cm × (1 inch/2.54 cm) = 8.2677 inches

Therefore, the length of 21 centimeters is equivalent to approximately 8.2677 inches.

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A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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Answer:

A.f(x)=2x+8

22=2x+8

-8+22=2x

14/2=2x/2

7=x

x=7

B.f(x)=4x+2

22=4x+2

-2+22=4x

20/4=4x/4

5=x

x=5

Billy's health score go down  by 75% if his sugar resources are quadrupled

Let the amount of sugar in Billy's kitchen be denoted by S and the number of cookies he can bake be denoted by C. Let his health score be denoted by H. Then we have the following relationships:

C ∝ S (directly proportional)

C ∝ 1/H (inversely proportional)

Combining these two relationships, we get:

C ∝ S/H

If S is quadrupled, then C will also quadruple according to the first relationship. However, H will decrease by some percentage x according to the second relationship. To find x, we can use the fact that C is proportional to S/H:

C = k*S/H

where k is a constant of proportionality. If S is quadrupled, then C will also quadruple, so we have:

4C = k4S/H

C = kS/(H/4)

This tells us that if S is quadrupled, then C will be divided by H/4. In other words, C/H will be divided by 4. So, the percentage decrease in H can be found as follows:

C/H → (C/H)/4 = (S/H)/(4/k) → x = 100%*(1 - 1/4) = 75%

Therefore, if Billy's sugar resources are quadrupled, his health score will go down by 75%.

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The timesheet of Rick's working hours is given below.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

From the given data points of Rick's working hours:

Date      Start Time     End Time  Time away  Regular hours

Dec. 9,   7:30 am        4:30 pm     30 minutes     8.5  

Dec. 10,  7:00 am        4:30 pm     30 minutes     8.5

Dec. 11,   11:30 am        5:00 pm      -                       5.5

Dec. 12,   7:30 am        5:30 pm      60 minutes      9

Dec. 13,   7:30 am        7:00 pm      90 minutes       10

Dec. 14,   8:00 am        5:00 pm      90 minutes       4.9

Dec. 15,    -                       -                   -                      -

Therefore, the timesheet is given.

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The complete question:

Make a timesheet for the following dates and times: Dec. 9, Rick...

Make a timesheet for the following dates and times:

Dec. 9, Rick worked from 7:30am to 4:30 p.m. He took a 30 min lunch break

Dec. 10, Rick worked from 7 am to 4:30 p.m. He took a 30 min lunch break

Dec. 11, Rick worked from 11:30 am to 5:00 p.m. He didn't take a lunch break

Dec. 12, Rick worked from 7:30 am to 5:30 p.m. He took an hour lunch break

Dec. 13, Rick worked from 7:30 am to 7:00 p.m. He took an hour and a half lunch break

Dec. 14, Rick worked from 8 am to 5 p.m. He took an hour and a half lunch break

Dec. 15,  Rick did not work.

Answer:

x= -13 1/4

Step-by-step explanation: I know it, please can I get brainly plus if you did it would be my first one

Answer: -13 1/4

Step-by-step explanation: Answer confirmed correct on test

The sum of the given two vectors A and B is found to be R = 3i + 3j. The magnitude of vector R is found to be 3√2 and its direction is 45°.

The sum of the two vectors A and B is given by: R = A + B

Here, vector A = i + 4j And, vector B = 2i - j

Now, to find R, we will add the respective components of the two vectors, i.e,

R = (i + 4j) + (2i - j)

= 3i + 3j

The magnitude of vector R is given by the formula:

|R| = \(\sqrt{(R_x^2 + R_y^2)}\)

Substituting the values,

|R| = √(3² + 3²) = √18 = 3√2

The direction of vector R is given by the formula:

θ = tan⁻¹(\(R_y/R_x\))

θ = tan⁻¹(3/3)

θ = 45°

Therefore, the magnitude of vector R is 3√2 and its direction is 45°.

The sum of the given two vectors A and B is found to be R = 3i + 3j. The magnitude of vector R is found to be 3√2 and its direction is 45°.

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The linear programming model would include equation for profit will be Z = 0.85X + 0.9Y and production constraints are 0.3X <= Y <= 0.6X; demand constraints are X <= (5000 + 3A) and Y <= (4000 + 5B); and cost constraint are 0.6X + 0.85Y + A + B <= 16,000.

Optimal values of X, Y, A, and B that maximize profit (Z) can be determined by using Excel Solver.

The linear programming model for the given problem is shown below:

Let X be the number of jars of applesauce produced. Y be the number of bottles of apple juice produced.

The objective function will be to maximize profit, which can be calculated by the following equation:

Profit = revenue - cost

Revenue can be calculated by multiplying the number of units produced by their respective selling prices. Cost can be calculated by multiplying the number of units produced by their respective production costs. The equation for profit will be:

Z = 1.45X + 1.75Y - (0.6X + 0.85Y)

Z = 0.85X + 0.9Y

The marketing manager estimates that the demand for applesauce is a maximum of 5,000 jars, plus an additional 3 jars for each $1 spent on advertising. The maximum demand for apple juice is estimated to be 4,000 bottles, plus an additional 5 bottles for every $1 spent on promoting apple juice. The maximum amount of money that can be spent on production and advertising is $16,000.

Therefore, we can write the constraints as follows:

Production constraints:

0.3X <= Y <= 0.6X

Demand constraints:

X <= (5000 + 3A)

Y <= (4000 + 5B)

Cost constraint:

0.6X + 0.85Y + A + B <= 16,000

Where A and B are the amounts spent on advertising for applesauce and apple juice, respectively.

To solve the model by using the computer, we can use any software that solves linear programming problems.

One such software is Microsoft Excel Solver. We can set up the problem in Excel as follows:

Cell C9: 0.85X + 0.9Y

Cell C12: 0.6X + 0.85Y + A + B

Cell C13: $16,000

Cell C15: 0.3X

Cell C16: XCell C17: 0.6X

Cell C18: 5000 + 3A (for applesauce)

Cell C19: Y

Cell C20: 4000 + 5B (for apple juice)

Cell C21: A

Cell C22: B

We then use Excel Solver to find the optimal values of X, Y, A, and B that maximize profit (Z).

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