-3x + 5.5x + 4 = 7.2

The cards that should be chosen by Claudia from the integers in order to make the greatest product will be 0 and 3.

From the complete question, it should noted that the number on the cards are -3, -2, 3, and 0.

In this case, she needs the card that will give her the greatest product. Therefore, the cards that should be chosen will be 0 and 3 which gives 0 unlike others that will give a negative value.

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Answer:

hows your day going? :)

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.

A quotient is a quantity produced by the division of two numbers.

The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.

For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.

To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:

              2x² + x – 3

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

              –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

              –(x³ – 2x² + x)

             –3x² + 6x – 3

            –(3x² + 6x – 3)

                    0

Thus, the quotient is 2x² + x – 3.

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AThe area of an equilateral triangle is given by the formula:

A = (sqrt(3)/4) * s^2

where A is the area and s is the length of one side.

If the original length of the side is x, then the new length is 6x. Therefore, we can write:

A(6x) = (sqrt(3)/4) * (6x)^2

Simplifying:

A(6x) = (sqrt(3)/4) * 36 * x^2

A(6x) = 9 * sqrt(3) * x^2

Therefore, the function representing the area of an equilateral triangle with sides of length six times the original length is:

A(6x) = 9 * sqrt(3) * x^2:

After 14 years, the interest due is $35,706.14.

To find how much is owed after 14 years and how much of that is interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount owed after t years, P is the principal (initial amount borrowed), r is the annual interest rate (as a decimal), n is the number of times compounded per year, and t is the time in years.

For this problem, we have:

P = $8200

r = 0.162 (16.2% as a decimal)

n = 365 (daily compounding)

t = 14

So, the amount owed after 14 years is:

A = $8200(1 + 0.162/365)^(365*14)

A = $8200(1.0674)^5110

A = $8200(5.3517)

A = $43,906.14

Therefore, after 14 years, you owe $43,906.14.

To find how much of that is interest, we need to subtract the initial principal from the total amount owed:

Interest = $43,906.14 - $8200

Interest = $35,706.14

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Area = bh

=> (12)(11)

⇒132²

Therefore, Area is 132 cm

Answer:

132cm²

Step-by-step explanation:

Area of parallelogram = base x height

ie. A =b x h

=12cm x 11cm

=132 cm²

Answer:

6 yards long

Step-by-step explanation:

1/3 yards wide = 2 yards long

Let x = length of the other rug

1 yard wide = x yards long

1/3 : 2 = 1 : x

1/3 ÷ 2 = 1 ÷ x

1/3 × 1/2 = 1 / x

1/6 = 1/ x

Cross product

1*x = 6*1

x= 6 yards

Therefore, the length of the new rug with 1 yard wide is 6 yards long

The first thing to do is to find the ratio of wide to long of the two rugs by representing the long of the second rug with x

It is the simplest method to solve the question

Answer:

1.4

Step-by-step explanation:

Answer:

1.41

Step-by-step explanation:

2.1 divided by 1.488 is 1.41129032258

If we round to the nearest tenth it's 1.41.

~~~Hope this helps~~~ :)

Quantity change at a constant rate per unit interval relative to another quantity is b) For every month that passes, a savings account earns interest at a rate of 1. 5%.

a) A person drives 54 miles each day, changing the number of miles travelled at a consistent rate of 54 miles per day.

b) A savings account earns interest at a rate of 1.5% per month, with the amount of interest earned fluctuating at a constant rate of 1.5% per month.

c) A vine's length changes at a consistent rate of doubling twice every week for every week that passes, making it twice as long as it was the previous week.

d) A population of insects grows by 6% each year, and this rate of change in population size is constant at 6% annually.

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Answer:

2/^7-2+1=57

Step-by-step explanation:

Answer:

12.54

Step-by-step explanation:

just multiply 12×0.045 and add the 12.

I hope and this helps.

Have a good day.

Good luck

Answer:

Option 3

Step-by-step explanation:

\((-6) \left(\dfrac{-2}{3}+2x \right) = (-6)*\dfrac{-2}{3} + (-6)*2x\\\\\\ = (-2)*(-2) + (-12x)\\\\= 4 - 12x\)

Answer:

The given expression in simplified form is: \(15x^2+10x\)

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

\(5x(3x+2)\)

Distributing 5x will give us:

\(= 5.3.x.x + 5.2.x\\=15x^2+10x\)

Hence,

The given expression in simplified form is: \(15x^2+10x\)

The rectangular coordinates will be (x=7cot(θ), y=7).

A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

We have the standard conversion toolbox:

\(x=rcos(\theta)\\\\y=rsin(\theta)\)

Here it is given that

\(r=7cosec(\theta)\)

so

\(x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7\)

therefore the rectangular coordinates are (7cot(θ), 7)

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Answer:

longitudinal

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 14\ times}\)

Step-by-step explanation:

\(\displaystyle Probability = \frac{Possible \ no. \ of\ events}{Total \ number\ of \ events}\)

If we roll a die 1 time, the probability of obtaining a 3 is:

= 1 / 6

Because a die has total 6 faces, out of which 3 is only 1.

But, if we roll it 84 times, it becomes:

= \(\displaystyle \frac{1}{6} \times 84\)

= 84/6

\(\rule[225]{225}{2}\)

Answer:

Below

Step-by-step explanation:

To find the break-even point, we need to determine the point at which the total revenue equals the total cost. Let's call the number of shirts sold "x".

The total cost includes the initial costs of $1,500 and the cost per shirt of $3x, so the total cost is:

y = 1500 + 3x

The total revenue is the price per shirt of $10 multiplied by the number of shirts sold, so the total revenue is:

y = 10x

To find the break-even point, we need to set the total cost equal to the total revenue and solve for x:

1500 + 3x = 10x

Simplifying this equation, we get:

1500 = 7x

Dividing both sides by 7, we get:

x = 214.29

Therefore, Steve needs to sell 215 shirts to break even.So the correct system to find the break-even point is:

y = 1500 + 3x (total cost)

y = 10x (total revenue)

Answer:

g=92°

h=88°

m=89°

k=91°

Step-by-step explanation:

Answer:

h=88 g=92 m=89 k=91

Step-by-step explanation:

180-92=88

180-91=89

I'm not 100% certain about g and k, because I haven't done this in a while, but I'm pretty sure opposite angles equal the same thing. Also, a line is 180 degrees so just subtract the 180 from the number in the angle on the same line.

Answer:

When the polynomial was split into two parts we still had to keep the "/3" under each one.

Then the highlighted parts were "reduced" (6/3 = 2 and 3/3 = 1) to leave the answer of 2x-1

Without specific data or information, we cannot determine the probability that a student in the upper class has a GPA between 2.0 and 3.0 from the provided options.

The provided options do not include a probability value that directly corresponds to the given condition. To determine the probability that the selected student, who is in the upper class, has a GPA between 2.0 and 3.0, we need more specific information or data regarding the distribution of GPAs among upper-class students. Without this information, it is not possible to calculate the exact probability.

The probability of a student having a GPA between 2.0 and 3.0 would depend on various factors such as the grading system, the distribution of GPAs within the upper class, and any additional criteria or conditions. To calculate this probability, we would need access to relevant data, such as the GPA distribution or the percentage of upper-class students falling within the specified GPA range. With such information, we could use statistical methods to determine the probability accurately.

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Answer:

A

Step-by-step explanation:

Apply quotient power rule

\(a {}^{ \frac{1}{3} } - \frac{1}{4} \)

\( {a}^{ \frac{1}{12} } \)

Answer:

It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern.  

We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed.

Step-by-step explanation:

Answer:

0.985

Step-by-step explanation:

First, write the given number as a fraction:

(TIP!! if a number isn't written as a fraction already, you can make it one by giving it a denominator of 1)

\((\frac{985 g}{1})\)

Now, write the conversion ratio as a fraction and solve:

conversion ratio: 1,000g=1kg

\((\frac{985g}{1}) (\frac{1kg}{1000g} )\)

divide 985 by 1000:

985÷1000= 0.985

we can report the results:

The mean length of the table: 205.34 cm (0.164 cm)

Mean width of the table: 60.22 cm (0.053 cm)

Area of the table: 12378.9948 cm² (36.09 cm²)

The perimeter of the table: 532.12 cm (0.2436 cm)

To calculate the required values and uncertainties, let's use the given measurements:

Length measurements: 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, 204.9 cm

Width measurements: 60.0 cm, 60.4 cm, 60.2 cm, 60.0 cm, 60.5 cm

Step 1: Calculate the mean length (L) of the table:

L = (205.0 + 205.8 + 205.4 + 204.6 + 204.9) / 5

L = 205.34 cm

Step 2: Calculate the standard deviation of the mean length (GL) of the table:

\(GL = \sqrt{((\Sigma(Li - L)^2) / (n(n-1)))}\\ = \sqrt{(0.3416 / 20)}\\ = 0.164 cm\)

Step 3: Calculate the mean width (W) of the table:

W = (60.0 + 60.4 + 60.2 + 60.0 + 60.5) / 5

W = 60.22 cm

Step 4: Calculate the standard deviation of the mean width (Gw) of the table:

\(Gw = \sqrt{((\Sigma(Wi - W)^2) / (n(n-1)))}\\ = \sqrt{(0.0556 / 20)}\\ = 0.053 cm\)

Step 5: Calculate the area (A) of the table:

A = L x W

  = 205.34 cm x 60.22 cm

  = 12378.9948 \(cm^2\)

Step 6: Calculate the uncertainty of the area (6A) using the correct equation for propagation of error:

\(6A = \sqrt{((GL / L)^2 + (Gw / W)^2)} * A\\ = \sqrt{((0.164 / 205.34)^2 + (0.053 / 60.22)^2)} * 12378.9948\\ = \sqrt{(0.000006778 + 0.000001751)} * 12378.9948 \\ = \sqrt{0.000008529} * 12378.9948 \\ = 0.00292 * 12378.9948 \\ = 36.09 cm^2\)

Step 7: Calculate the perimeter (P) of the table:

P = 2L + 2W

  = 2(205.34 cm) + 2(60.22 cm)

  = 411.68 cm + 120.44 cm

  = 532.12 cm

Step 8: Calculate the uncertainty of the perimeter (Op) using the correct equation for propagation of error:

\(Op = \sqrt{((2GL)^2 + (2Gw)^2)}\\ = \sqrt{((2(0.164) cm)^2 + (2(0.053) cm)^2)}\\ = \sqrt{(0.053776 cm^2 + 0.005628 cm^2)}\\ = \sqrt{0.059404 cm^2}\\ = 0.2436 cm\)

Finally, we can report the results:

The mean length of the table: 205.34 cm (0.164 cm)

Mean width of the table: 60.22 cm (0.053 cm)

Area of the table: 12378.9948 cm² (36.09 cm²)

The perimeter of the table: 532.12 cm (0.2436 cm)

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Applying the side-splitter theorem, the value of x in the image given is calculated as: x = 5.

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, the ratio of the length of the two segments of the divided sides is equal to the ratio of the lengths of the sides that form the two smaller triangles.

Using this theorem, we van apply it to solve for x in the image given:

24x/(24x - 50) = 84/49

Solve for x:

24x(49) = 84(24x - 50)

1,176x = 2,016x - 4,200

1176x - 2016x = -4200

-840x = -4,200

x = -4200/-840

x = 5

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Answer:

10 + 2. 3(10 + 2) = ? something like that I think .

Step-by-step explanation:

Using the method of completing the square, we have the solution as; x = -2 or 6

We are given the quadratic equation;

x² - 4x = 12

Take half of the x term and square it;

(-4 * 1/2)² = 4

then add the result to both sides to get;

x² - 4x + 4 = 12 + 4

Rewrite the perfect square on the left;

(x - 2)² = 16

x - 2 = ±√16

x - 2 = 4 or x - 2 = -4

x = -2 or 6

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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