Why do we combine like terms?

A . To give you more work
B. To make expressions shorter by simplifying
C. No reason
D. Because Ms. Sax likes making us suffer

Answer:

16-28+3 do it now ok!!!!!!

Answer:

If b=4,

b^2-7b+3

=4^2-7(4)+3

=16-28+3

=-9

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

the answer is 196

Step-by-step explanation:

Answer:

i think that the correct answer might be 196

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

Answer:

1) 10

2) 9

Step-by-step explanation:

50+35=5(10+7) because 5*10=50 and 5*7= 35

9+39=3(3+13) because 3*3=9 and 3*13=39

Answer:

multiply them together

Step-by-step explanation:

Answer:

The answer is 5 cups!

Step-by-step explanation:

since 1 1/3 multiplied by 3 3/4 is 5! <3

Answer:

56.25%

Step-by-step explanation:

First, we need to find the total number of possible outcomes. We do this by multiplying the total number of plants by the total number of pots like so...

4 * 4 = 16 outcomes

Now we need to do the same but removing the cactus and clay pot from the list...

3 * 3 = 9 outcomes.

Now, to find the probability we need to divide the number of outcomes that do not include cactus and clay pot by the total original number of outcomes.

9 / 16 = 0.5625 or 56.25%

Finally, we can see that the probability of not getting a clay pot or cactus is 56.25%

Answer:

9/16

Step-by-step explanation:

I got this answer from Khan Academy :)

The cost that Chloe to pay off the loan after 1 year is $1,429.20 and she could save $676.14 in interest by paying off the loan early.

Chloe's loan has an interest rate of 12.5% per year, which means that the bank charges her 12.5% of the outstanding balance as interest annually. She has to pay back the loan in three years by making equal payments of $64.17 each month. We can calculate the total amount of the loan as follows:

Total Loan Amount = Monthly Payment x Number of Payments

Total Loan Amount = $64.17 x 12 months x 3 years

Total Loan Amount = $2,313.72

Now, let's see how much it would cost Chloe to pay off the loan after one year. Since Chloe has to make 36 payments in total (12 payments per year for three years), she would have made 12 payments at the end of the first year. Therefore, the outstanding balance after one year would be:

Outstanding Balance after 1 year = Total Loan Amount - (Number of Payments Made x Monthly Payment)

Outstanding Balance after 1 year = $2,313.72 - (12 x $64.17)

Outstanding Balance after 1 year = $1,429.20

Now, we need to calculate the interest on the outstanding balance after one year. Since the interest rate is 12.5% per year, we can calculate the interest on the outstanding balance as:

Interest = Outstanding Balance x Interest Rate

Interest = $1,429.20 x 12.5%

Interest = $178.65

Therefore, if Chloe pays off the loan after one year, she would have to pay a total of $1,607.85 ($1,429.20 + $178.65) to the bank.

Finally, let's see how much interest Chloe could save by paying off the loan early. We have already calculated that the total interest on the loan is $854.79 ($2,313.72 - $1,429.20). However, if Chloe pays off the loan after one year, she would only pay $178.65 in interest.

Therefore, she could save

=> ($854.79 - $178.65) = $676.14

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Answer:

Rs 85

Step-by-step explanation:

Cost of 5kgs of rice = Rs 425

Cost of 1 kg of rice = 425/5

= Rs 85

So, the cost of a kg of rice is Rs 85

The probability of Ian standing in the center of the picture with Cameron on his right is approximately 0.000002756 or 1 in 362,880.

To calculate the probability of Ian standing in the center of the picture with Cameron on his right, we need to consider the total number of possible arrangements and the number of favorable arrangements that satisfy the given condition.

Since there are 9 members in the baseball team, there are 9 possible positions for Ian to stand.

Once Ian is placed in the center, there are 8 remaining positions for Cameron to stand.

To calculate the probability, we need to determine the number of favorable arrangements where Ian stands in the center and Cameron is on his right.

Since Ian must stand in the center, there is only 1 position for Ian. Once Ian is in the center, there is only 1 position for Cameron to stand on his right.

Therefore, the number of favorable arrangements is 1.

The total number of possible arrangements is given by the number of permutations of 9 members, which is 9!.

So, the probability is calculated as:

Probability = Number of favorable arrangements / Total number of possible arrangements

= 1 / 9!

To simplify this, we can write 9! as \(9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1.\)

Therefore, the probability is:

Probability \(= 1 / (9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)\)

= 1 / 362,880

≈ 0.000002756.

Hence, the probability of Ian standing in the center of the picture with Cameron on his right is approximately 0.000002756 or 1 in 362,880.

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Answer:

MP=(6,8)

Step-by-step explanation:

\(MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{9+3}{2} )(\frac{7+9}{2})\\MP= (\frac{12}{2} )(\frac{16}{2} )\\MP= (6,8)\)

In the provided figure, the value of angle JKM is 118.3°.

In Euclidean geometry, an angle is the figure produced by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are termed dihedral angles. An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.

Here,

x+70+y=180

x+y=110

x=110-y

x+2x-5=180

3x=185

x=185/3

3(110-y)=185

330-3y=185

145=3y

y=145/3

2x-5=2(185/3)-5

∠JKM=118.3°

The value of angle ∠JKM is 118.3° in the given figure.

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The ratio of density of cylinder A to cylinder is 8 : 49.

The ratio of the density of the two cylinders is calculated as follows;

The formula for the density of the cylinders is given as;

density = m / (πr²h)

For cylinder A and B;

height = h = h_B = h

mass = m, m_B = 2m_A = 2m

radius, = r, r_B = 4/7r_A = 4/7r

Density of cylinder A = m / (πr²h)

Density of cylinder B = 2m/(π(4/7r)²h = 2m/π16r²h/49  = (2m x 49)/π16r²h

Ratio of the two densities is calculated as;

A/B =  m / (πr²h)     x       π16r²h / (2m x 49)

= 16/(2 x 49)

= 8/49

= 8 : 49

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Answer:

x = 9

Step-by-step explanation:

\(2x + 3 = 3x - 6\)

\(3 = x - 6\)

\(x = 9\)

Answer:

D

Step-by-step explanation:

Ben is buying 30 juice boxes. Since each pack has 3 juice boxes, we can make it (30 / 3) so far. 30 / 3 is how many packs Ben buys. Now, since each pack is $1.25, we have to multiply 30 / 3 by 1.25.

Therefore, the answer is c = (30 / 3) * 1.25

I hope this helped and please mark me as brainliest!

Answer:

0

Step-by-step explanation:

Answer:

x ≈ 70.6°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan x = \(\frac{opposite}{adjacent}\) = \(\frac{17}{6}\) , then

x = \(tan^{-1}\) ( \(\frac{17}{6}\) ) ≈ 70.6° ( to the nearest tenth )

Answer:

the answer is B

Step-by-step explanation:

You can automatically eliminate C and D because it is not a negative and the parallel is a positive number. Then you can eliminate A because it is not a decimal. To check your work you but 7 in for X and you will get 74°

Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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The number of piles when the newspaper is 15 will be 3.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

20 newspapers in 4 piles.

We know that the ratio of the newspaper to pile is constant. Then 15 newspapers in piles will be given as,

15 / x = 20 / 4

15 / x = 5

x = 15 / 5

x = 3

The number of piles when the newspaper is 15 will be 3.

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Answer:

yes they are

Step-by-step explanation:

If you distribute the minus then the 4 becomes positive.

Have a great day!

If it helped mark me brainliest!

Answer:

yes

Step-by-step explanation:

x - (-4)

Apply rule - (-a) = a:

⇒ x + 4

Answer:

Correct Choice: Second Option

\(\displaystyle x=\frac{5\pm \sqrt{97}}{12}\)

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

\(f(x)=ax^2+bx+c\)

where a,b, and c are constants.

Solving with the quadratic formula:

\(\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

We have the following equation to solve:

\(5x = 6x^2 -3\)

Rearranging all the terms to the left side:

\(6x^2 -5x- 3=0\)

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

\(\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}\)

\(\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}\)

\(\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}\)

Correct Choice: Second Option

The explicit formula for the arithmetic sequence is aₙ = 11 - 2n, and the 100th term is -189.

The common difference of this arithmetic sequence is -2, since we are subtracting 2 from each term to get the next term. The first term is 9, so the explicit formula for the nth term of this sequence is:

aₙ = 9 + (n - 1)(-2)

Simplifying this expression gives:

aₙ = 11 - 2n

To find a₁₀₀, we simply substitute n = 100 into the formula:

a₁₀₀ = 11 - 2(100) = -189

Therefore, the explicit formula for the arithmetic sequence is aₙ = 11 - 2n, and the 100th term is -189.

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The characteristics of the vertical throw and Newton's second law allows finding the results for the questions about the motion of the ball with air resistance are:

For the upward movement.  The speed of the ball decreases with height of the ball.  The forces of gravity and friction go in the same direction.

For the point of maximum height, the velocity is zero and the net force is only the force of gravity.

The ball is in a downward movement. The speed increases as the height decreases. The friction force and gravity have the opposite direction, therefore the net force decreases until reaching zero, from this point the speed remains constant.

Kinematics analyzes the movement of bodies looking for relationships between the position, velocity, and acceleration of bodies.

Newton's second law relates the net force to the mass and the acceleration of the body.

In this case, there is a vertical launch where the ball is launched with an initial velocity and is subjected to an acceleration given by the acceleration of gravity with a vertically downward direction, therefore the speed of the ball must decrease with increasing height.

       v² = v₀² - 2g y

Where v and v₀ are the current and initial velocities, respectively, g is the acceleration of gravity, and y is the height of the body.

In the attached, we can see a free-body diagram of the ball, the interaction with the earth is constant and is directed towards the center of the earth, in a vertical direction. The friction force of the air is the opposition of the air to the movement of the ball and is directed opposite the direction of movement of the ball. In the case of the ascending ball, the friction force is directed downwards.

Write Newton's second law for upward motion

          -W- fr = m a

          -m g - fr = ma

Therefore, we see that the two forces go in the same direction, and therefore the net force increases and the acceleration in the opposite direction of the speed also increases.

At the point of maximum height, the speed of the ball is zero, therefore the friction forces of the air are also zero, at this point the acceleration is equal to the acceleration of gravity.

In the case of the ball lower.  Speed ​​increases as the ball descend.

Newton's second law is.

        -W + fr = ma

       - m g + fr = ma

In this case, we see that the forces go in the opposite direction, therefore the net force on the body decreases.

If the friction force with the air increases with the speed, the point where it is equal to the forces of gravity and the acceleration is zero, from this point the ball goes down with constant speed.

In conclusion with the characteristics of the vertical launch and Newton's second law, we can find the results for the questions about the motion of the ball with air resistance are:

The ball is in a downward movement. The speed increases as the height decreases. The friction force and gravity have the opposite direction, therefore the net force decreases until reaching zero, from this point the speed remains constant.

For the upward movement.  The speed of the ball decreases with height of the ball.  The forces of gravity and friction go in the same direction.

For the point of maximum height, the velocity is zero and the net force is only the force of gravity.

The researcher would need to sample at least 193 large French Fries orders to estimate the average amount of calories with a 95% level of confidence and a margin of error of 10 calories.

To determine the sample size required to estimate the average amount of calories in a large French Fries order in McDonald's, we can use the following formula:

n = (Z^2 * σ^2) / E^2

where:

n = sample size

Z = the z-score associated with the desired confidence level (for a 95% confidence level, Z = 1.96)

σ = the population standard deviation (if unknown, a conservative estimate can be used)

E = the desired margin of error

Since we don't know the population standard deviation, let's assume a conservative estimate of 50 calories based on similar studies. Thus, the formula becomes:

n = (1.96^2 * 50^2) / 10^2 = 192.08

Rounding up to the nearest whole number, the researcher would need to sample at least 193 large French Fries orders to estimate the average amount of calories with a 95% level of confidence and a margin of error of 10 calories.

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Answer:

1. 11

2. 5.65685...~ 5.7

3. 4.2426...~ 4.2

4. .75

Step-by-step explanation:

1.) 11*11=121

2.) 5*5=25, 6*6=36

So the answer is between 5 and 6. It is closer to 6^2 than 5^2. I used a calculator to figure out the exact answer.

3.) 54/3=18, 4^2=16, 5^2=25

It is closer to 4^2 than 5^2. about 2/9 off (between the two answers). 4.242...

4.) 9/16= .5625. √.5625= .75

Hope this helps:) Have a good day!

Answer:

1.429 × 10^-3

Step-by-step explanation:

since it's below 1, you're moving the decimal to the right, which makes the 3 negative.

The slope of the regression line is  b=61.02 and y-intercept is a=3.12

Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the

Given,

The regression line is y=3.12+61.02 s

Here the slope is b=61.02

The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.

And the y-intercept is a=3.12

It is the distance estimated by this model if the speed is zero miles per hour.

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Answer:  The large ____ holds 48 units.

For the diagram you could draw the small rectangle 4 squares wide and 9 squares long. that will represent something that holds 36 units.

For the large one make it 4 squares wide and 12 squares long. That will have spaces for 48 units.

Step-by-step explanation: Change the percent to a decimal and set up the equation that means 36 is 75% of some number, yet unknown, X is the unknown number.

36 = .75x  divide both sides by .75  

36/.75 = .75x/.75 . The .75 "cancels" on the right. Then use a calculator.

36 ÷ .75 = 48

x = 48