Write and solve an equation for the situation.
The perimeter of a parallelogram is 84 meters. The width of the parallelogram is 2 meters less than its
length. Find the length and the width of the parallelogram.

Answer:

If asking for the distance, the answer would be C.

The provider has prescribed ibuprofen 800 mg po tid. the unit dose is 400 mg tablets.6 tablets will be administered to the client.

To calculate the number of tablets that will be administered to the client when the provider has prescribed ibuprofen 800 mg po tid and the unit dose is 400 mg tablets, the following steps can be used:

Step 1: Determine the total daily dose

To determine the total daily dose, the 800 mg dose prescribed three times daily can be added up.

800 mg + 800 mg + 800 mg = 2400 mg/day

Step 2: Calculate the number of tablets needed to achieve the daily dose

The total daily dose can be divided by the strength of the tablet to determine the number of tablets needed to achieve the daily dose.

2400 mg/day ÷ 400 mg/tablet = 6 tablets/day

Therefore, 6 tablets will be administered to the client.

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Answer:

A)  If a number has two digits, then the sum of its digits is less than the value of the original two-digit number.

Step-by-step explanation:

I took the test and got it right :

The statement that is given can be rewritten and formed as a conditioned statement.

Learn more about the be rewritten as a conditional statement.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer:

15.3

Step-by-step explanation:

The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

2/3x + 2 = y

Step-by-step explanation:

you subtract 3y to both side

subtract 6 to both side

divide both side by 3

The area of the floor in the scale drawing will be equal to 150 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Length of the classroom, l = 30 feet and,

The width of the classroom, w = 20 feet.

As per the scale drawing, the length of the classroom, l' = 15 feet

Let the scale width, w' = x feet

As we can see that the original length is twice the scale drawing.

Then, the original width also is twice the scale drawing.

So, w' = 20/2 = 10 feet.

Now, the area of the floor in the scale drawing will be,

A = wl

A = (15)(10)

A = 150 in².  

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To determine the number of cubes added in the solid shape, we need to analyze the side elevation and front elevation. However, without visual representation or further details, it is challenging to provide an accurate count of the added cubes.

The side elevation and front elevation provide information about the shape's dimensions, but they do not indicate the exact configuration or arrangement of the cubes within the shape. The number of cubes added would depend on the specific design and structure of the solid shape.

To determine the count of cubes added, it would be helpful to have additional information, such as the total number of cubes used to construct the shape or a more detailed description or illustration of the shape's internal structure. Without these specifics, it is not possible to provide a definitive answer regarding the number of cubes added.

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To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).

To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.

Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).

To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).

Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.

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We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.

To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:

1. τ(mn) = τ(m)τ(n)

2. σ(mn) = σ(m)σ(n)

Let's start with property 1:

1. τ(mn) = τ(m)τ(n)

If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.

Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).

Now let's move on to property 2:

2. σ(mn) = σ(m)σ(n)

Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.

Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.

Hence, we can conclude that σ(mn) = σ(m)σ(n).

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Answer:

81.5%

Step-by-step explanation:

I just took the test

We would use r = p/b formula to find 50 is what percent of 20.

The correct answer is an option (b)

For given question,

we need to find the formula which we use to find 50 is what percent of 20

We make the assumption that 20 is 100% since it is our output value.

Let the value we seek be m.

So, 100 % = 20 ...............(1)

m % = 50           ..............(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\(\frac{100\%}{m\%}=\frac{2}{5}\)

So, m = 250%

This means, 50 is 250% of 20

The formula PERCENTAGE  p = rb – The result obtained when a number is multiplied by a percent.

The formula BASE ( b = p/r) – The whole in a problem. The amount you are taking a percent of.

The formula RATE (r = p/b) – The ratio of amount to the base. It is written as a percent.

Therefore, we would use r = p/b formula to find 50 is what percent of 20.

The correct answer is an option (b)

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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a) Probability of drawing a Blue, then a Red:

There are a total of 11 marbles in the bag. The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 5 Red marbles. The probability of drawing a Red on the second draw is 5/10. Therefore, the probability of drawing a Blue, then a Red is (3/11) * (5/10) = 15/110 = 3/22.

b) Probability of drawing a Red, then a White:

The probability of drawing a Red on the first draw is 5/11. After drawing a Red, there are 10 marbles left in the bag, including 3 White marbles. The probability of drawing a White on the second draw is 3/10. Therefore, the probability of drawing a Red, then a White is (5/11) * (3/10) = 15/110 = 3/22.

c) Probability of drawing three Blues in a row:

The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 2 Blue marbles. The probability of drawing a Blue on the second draw is 2/10. After drawing two Blues, there are 9 marbles left in the bag, including 1 Blue marble. The probability of drawing a Blue on the third draw is 1/9. Therefore, the probability of drawing a Blue, then a Blue, then a Blue is (3/11) * (2/10) * (1/9) = 6/990 = 1/165.

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x/9>12

x>12×9

x>108

This is your answer

Answer:(2x+3)(2x+3)

Step-by-step explanation:

Question will be like this Factorize the following polynomial.

4x\({2}\) +12x +9

4x\(2\) +6x+6x+9

⇒2x(2x+3)+3(2x+3)

⇒(2x+3)(2x+3)

The probability that a student chosen randomly from the class plays both basketball and baseball is 7/21, which simplifies to 1/3.

To find the probability that a student chosen randomly from the class plays both basketball and baseball, we need to use the formula for the probability of the intersection of two events, which is:

P(A and B) = P(A) + P(B) - P(A or B)

In this case, let A be the event of playing basketball and B be the event of playing baseball. We know that there are 7 students who play basketball, 8 who play baseball, and 11 who play neither sport. So:

P(A) = 7/21 = 1/3
P(B) = 8/21
P(A or B) = (7+8)/21 = 15/21 = 5/7

Now we can substitute these values into the formula and solve for P(A and B):

P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 1/3 + 8/21 - 5/7
P(A and B) = 7/21

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Answer:

3(6m) + m

first you multiply (you MUST do parentheses first) so 3*6 is 18 and you add the m in there is its 18m so then its:

18m + m

now you just add 18m + m which is 19m

answer: 19m

Answer:

x value 0 yields y value of -4

x value 1 yields y value of 1

x value 2 yield y value of 6

Step-by-step explanation:

All we have to do to solve this question is plug in the value of x into the function and get the output or y.

When we plug in 0 we get 5(0)-4. 0 times any number is 0 so the first answer is 0.

When we plug in 1 we get 5(1)-4. This is just 5-4 or 1.

When we plug in 2 we get 5(2)-4. This is just 10-4 or 6.

I hope you liked my answer. Thanks

Answer:

Two sheats would cost $27.00 and six scheats would cost $99.00

Step-by-step explanation:

Answer:

1= NUMBER 6 IS NOT LESS THAN -3, 6 IS MORE THAN -3

2=23 IS GREATER THAN -17

Step-by-step explanation:

BIG BRAIN

HOPE THIS HELPS

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Answer:

89°C

Step-by-step explanation:

I think it is just a case of subtraction. Remove the °C and just treat it as 85 - -4

Answer:

89°

Step-by-step explanation:

85° - (-4°) = 89°

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil

The angle is 25 degrees

Let the measure of the angle be x

So, we have

Complement = 90 - x

Supplement = 180 - x

The sum is 220

So, we have

90 - x + 180 - x= 220

Evaluate the sum

-2x + 270 = 220

Solve for x

x = 25

Hence, the angle is 25 degrees

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Answer:

The length of the piece of wood can be found using the Pythagorean theorem. The ramp is the hypotenuse of a right triangle with one leg being the height of the cinder block (30 cm) and the other leg being the distance from the block to where the ramp begins (72 cm). So, the length of the piece of wood is \(√(30² + 72²) = √(900 + 5184) = √(6084) = 78 cm.\)

Step-by-step explanation: