Helppp plzzz I will mark brainliestttt

Answer:

b = b2-4ac

= (-7ab)^2 -4 (6a^2)(-3b^2)

= 49a^2b^2 + 72a^2b^2

= 121a^2b^2

Now, x = (7ab +- root 121a^2b^2)÷2(6a²)

= (7ab +- 11ab ) ÷ 12a²

= ( 20ab)/12a² or 4ab/12a²

= 5/3ab or - 1/3ab .

So, these are its roots .

Step-by-step explanation:

Answer:b

Step-by-step explanation:

To break even, Carrollton Molding Company needs to sell 1602 plastic handles per week.

Carrollton Molding Company molds plastic handles for certain Southwire products. It costs them $0.30 to make each handle plus $2082 per week to keep their molding machine operating.

The company sells each handle for $1.30.The break-even point (BEP) is defined as the point at which total revenues equal total costs. The company must sell enough units to cover all of its fixed and variable costs to reach the break-even point. The formula to calculate the break-even point is:

Break-even point = Fixed costs / (Selling price per unit - Variable costs per unit)Given, Fixed costs = $2082Selling price per unit = $1.30Variable costs per unit = $0.30Substituting these values in the formula to calculate the break-even point, Break-even point = $2082 / ($1.30 - $0.30)Break-even point = $2082 / $1.00Break-even point = 2082So, Carrollton Molding Company needs to sell 2082 units to break even.

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Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

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Answer:

4 hours

Explanation:

Mike can build a wall in 5 hours. His work rate is:

His son can do the job in 20 hours. The son's work rate is:

Let the time it takes both of them = x hours. Then, their joint rate is:

Therefore:

We solve the equation for x:

It takes them 4 hours to build a wall together.

The area of trapezoid is 47.5 cm².

A quadrilateral having only two sides parallel.The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).

Thus, if we have:

Length of its parallel sides = 'a' and 'b' units respectively

Perpendicular distance between its parallel sides = 'h' units,

Then, we get:

\(A = \dfrac{1}{2}\times(a+b) \times h \: \rm unit^2\)

Given;

trapezoid has two bases that measure 11 cm and 8 cm.

a= 11 cm, b= 8 cm

Now, height= 5

A = (½* height) x (Sum of the bases)

A= 1/2 * ( 11 + 8) * 5

A= 95/2

Therefore, the Area trapezoid will be 47.5 cm²

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The complete question is;

A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

The volume of a cube if the diagonal of one side is 50cm is approximately 48112.52 cubic centimeters.

Let s represent the width of the cube's sides, and d represent the width of one side's perpendicular. The Pythagorean formula can be used to connect s and d:

d**2 = s**2 + s**2 + s**2 = 3s**2

To solve for s, we obtain:

S = d/Sqrt(3)

Given a cube with edge lengths s, the volume V is equal to:

V = s**3

Inputting the word in place of s gives us:

V = (d / sqrt(3))**3 = d**3 / (3*sqrt(3))

Now we can change d to 50 centimetres to obtain the cube's volume:

V = 50**3 / (3*sqrt(3)) = 48112.52 cubic centimeters

As a result, the cube's capacity is roughly 48112.52 cubic centimetres.

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Answer:

1. $11

2. $10.75

3. new median: 12

new mean: $11.75

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:   C

Step-by-step explanation:

hope this helped

The value of the square root of 140 lies between 11 and 12. The square root of 140 is 11.83

Answer:

3.14 cube .yd

Step-by-step explanation:

Volume of cylinder= πr^2h

The statement that is true is Airplane B has a lesser median. Option C

When calculating the median, we find the middle value for the data set of both planes

Airplane A  data set are 200, 205, 210, 215, 220, 225, 230, 234

Median = (215 + 220)/2 = 217.5

Airplane B's data set includes  180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235

Median = (205 + 210)/2 = 207.5

Therefore airplane B has a lesser median.

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Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

Answer:

90

Step-by-step explanation:

To determine the number of feet equivalent to 75 Roman digits, we can use the given information that 1 pes is equal to 16 digits. We also know that 1 pes is approximately 11.65 inches.

First, let's calculate the total length in inches represented by 75 Roman digits:

75 digits * (1 pes / 16 digits) * 11.65 inches/pes = 43.359375 inches

Next, we convert the length in inches to feet:43.359375 inches * (1 foot / 12 inches) ≈ 3.61328125 feet.

Rounding to the nearest hundredth, the length is approximately 3.61 feet.

Therefore, 75 Roman digits is approximately equal to 3.61 feet.

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On solving the provided question we can say that the value of multiplication is x^34.

A math problem is a problem or question that requires the application of mathematical concepts and skills to solve.It is an extension of repeated addition. The operation is symbolized by the multiplication sign "x" or an asterisk (*), a dot (•) or the letter "m" . .

For example, if we multiply 4 and 5, the product will be 20 (4x5 = 20).

In addition, multiplication can also be represented using the distributive property, which states that for any three numbers a, b and c, a(b+c) = ab + ac.

In Multiplication, order of numbers doesn't matter, meaning a x b = b x a.

It's also commutative, meaning the order of numbers doesn't change the result.

Multiplication is the foundation for many other mathematical concepts, including algebra and geometry. It's an essential operation in many fields such as science, engineering, and finance.

And answer for above question is given by,

If each of the 5 students in a class has 3 apples, the total number of apples among the students is 3 apples/student * 5 students = 15 apples.

To find the product of the number of apples and the number of students, we multiply the number of apples (15) by the number of students (5) which is 15*5 = 75

So the product of the number of apples and the number of students is 75.

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Answer:

Step-by-step explanation:

Answer:

130 square metres

Step-by-step explanation:

The shaded area is a trapezium.

Therefore, the rule for its area is base1+base2/2xh

base1=6

base2=14

height = 13

Therefore, 6+14/2 x 13

= 130

Hope that helped!!! k

The properties of the probability density function (PDF) include the following:

A probability density function (pdf) is defined as the expression that is used to represent that probability distribution for a discrete random variable as opposed to a continuous random variable.

The properties of a probability density function include the following:

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if the function is divided and we get the remainder of  zero then  it is said to be a factor of a function

According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.

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Based on the given options, the statement that best describes the regression cannot be determined without additional information.

The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors

This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.

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1.  AD would increase by $200 million due to the multiplier effects.

2. The government should increase spending by $20 million to achieve an AD increase of $100 million.

3. Bank E can lend out a maximum of $9,000.

1. To calculate the increase in aggregate demand (AD) due to multiplier effects when the government reduces taxes by $50 million and the marginal propensity to consume (MPC) is 0.75, we can use the formula:

Multiplier = 1 / (1 - MPC)

AD increase = Multiplier * Tax cut

Given that the tax cut is $50 million and MPC is 0.75:

Multiplier = 1 / (1 - 0.75) = 1 / 0.25 = 4

AD increase = 4 * $50 million = $200 million

Therefore, AD would increase by $200 million due to the multiplier effects.

2. To determine the amount the government should increase spending to increase AD by $100 million, given an MPC of 0.8, we can use a similar approach:

Multiplier = 1 / (1 - MPC)

Government spending increase = AD increase / Multiplier

Given that the desired AD increase is $100 million and MPC is 0.8:

Multiplier = 1 / (1 - 0.8) = 1 / 0.2 = 5

Government spending increase = $100 million / 5 = $20 million

Therefore, the government should increase spending by $20 million to achieve an AD increase of $100 million.

3. To calculate the maximum amount of money that Bank E can lend out, given that it has $10,000 of deposits as a liability and $1,500 in reserves, with a required reserve ratio (rr) of 10%, we can use the formula:

Maximum loan amount = Total deposits - Required reserves

Given that the required reserve ratio is 10%, which means the bank needs to hold 10% of the deposits as reserves:

Required reserves = 10% * $10,000 = $1,000

Maximum loan amount = $10,000 - $1,000 = $9,000

Therefore, Bank E can lend out a maximum of $9,000.

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Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

Answer:

Hana is wrong

Step-by-step explanation:

savings=26+34

=60

savings left after spending=60-6-3

=51

Answer:

y=-1.5

x=-2

Step-by-step explanation:

I hope this answer can help