What is the product of the HCF and LCM of 12, 6 and 9 ?

A. 216

B. 108

C. 12

D. 180

​

Answer:

23: 21\(\frac{23}{55}\)  25: 1\(\frac{44}{45}\)

Step-by-step explanation:

Question 23:

1) add the whole numbers together: 15+5=20

2)To add fractions, both need to have the same denominator. Find a number that is a multiple of both denominators (in this case 55)

\(\frac{9}{11}\) → \(\frac{45}{55}\) (multiply the numerator and denominator by 5)

\(\frac{3}{5}\) → \(\frac{33}{55}\) (multiply the numerator and denominator by 11)

3) add the fractions together

\(\frac{45}{55}\) + \(\frac{33}{55}\) = \(\frac{78}{55}\) (add the numerators)

4) Turn the improper fraction into a mixed number

Divide 78 by 55. You'll get a whole number and a remainder. The remainder is the new numerator: In this case 55 enters 78 once with a remainder of 23. Therefore:

1\(\frac{23}{55}\)

5) Add the whole numbers together to get the final answer:

20+1= 21

Answer: 21\(\frac{23}{55}\)

Question 25:

Follow the above steps but subtract instead of adding

Answer:

Male students have a greater median.

Step-by-step explanation:

The median is the bold line (look at the attached image)

The male's median is greater than 60.

The female's median is less than 60.

Hope that helps!

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Answer:

-3

i hope this helped

The discrete and continuous probability distributions is a) the sum of all probabilities is equal to 1.

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Answer: 211,900

Step-by-step explanation:

First you have to simplify both sides of the equation. Starting on the right, 2,654 x 100 is 265,400. On the right, 35,000 + 50,000 is 85,000.

Now you have 85,000 + x = 265,400. All you have to do is subtract 85,000 from both sides.

This gives you x = 211,900.

Combined aggregate mixture is. In this case, with a blend of 70% coarse and 30% fine aggregates, we need to determine the coarseness factor of the blend.

To calculate the coarseness factor, we need to consider the particle size distribution of the aggregate blend. The coarseness factor is expressed as the percentage of material passing through a specific sieve size. In this case, we'll calculate the percentage passing for a standard set of sieve sizes.

Let's assume we have a sample of the aggregate blend and perform a sieve analysis. After the analysis, we obtain the percentage passing values for each sieve size. For the coarse aggregate portion, we'll consider the sieves appropriate for coarse aggregates, and for the fine aggregate portion, we'll consider the sieves suitable for fine aggregates.

Once we have the percentage passing values for each sieve size, we can calculate the coarseness factor of the blend. The coarseness factor is determined by combining the percentage passing values for each sieve size for the coarse and fine aggregates, according to their respective proportions.

For example, if the coarse aggregate portion passes 95% through the 20 mm sieve and the fine aggregate portion passes 80% through the same sieve, the combined blend would have a coarseness factor of (70% * 95%) + (30% * 80%) = 91.5%.

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if the sample size is small and the population distribution is significantly skewed, then the sample means may not follow a normal distribution. In this case, other methods such as non-parametric tests may need to be used.

No, the sample means will not necessarily follow a normal distribution if the population is skewed right. The distribution of the sample means is dependent on the size of the sample and the shape of the population distribution. If the sample size is large enough, then the Central Limit Theorem states that the distribution of the sample means will tend to follow a normal distribution regardless of the shape of the population distribution. However, if the sample size is small and the population distribution is significantly skewed, then the sample means may not follow a normal distribution. In this case, other methods such as non-parametric tests may need to be used.

 If you have a population that is skewed right and you take samples with measurements each (assuming the sample size is large enough, generally n > 30), your sample means will follow a normal distribution according to the Central Limit Theorem.

The Central Limit Theorem states that when you have a large enough sample size (n > 30), the distribution of the sample means will approximate a normal distribution, regardless of the shape of the original population. This is true even for populations that are not normally distributed or are skewed, like the one in your question. The key is to have a large enough sample size so that the theorem can apply.

In summary, even though your population is skewed right, the sample means will follow a normal distribution as long as your sample size is large enough.

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Answer:

-19

-2/5

0

4/7

2.89

Step-by-step explanation:

a rational number is any number that can be converted to a fraction, I know this because I took a test a while back and it helped me understand it.  I hope this helps!!! :)

Answer:

a) 10

b) 18

c) 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x = 6

a) x + 4

b) 3x

c) x/2

Step 2: Evaluate

a)

b)

c)

Answer:

a)10

b)18

c)3

Step-by-step explanation:

a) x+4=6+4= 10

b) 3*x=3*6= 18

c) x÷2=6÷2= 3

can I please have brainliest :)

Two vectors in ℝ⁴ are orthogonal if their dot product is zero.

Two vectors in ℝ⁴ are said to be orthogonal if their dot product is zero. The dot product of two vectors measures the similarity or alignment between them. When the dot product is zero, it signifies that the vectors are perpendicular to each other and do not share any common direction.

Geometrically, orthogonality between two vectors in ℝ⁴ means that they are linearly independent and span different directions in four-dimensional space. It implies that there is no projection of one vector onto the other, and they are completely perpendicular to each other.

The concept of orthogonality is fundamental in many areas of mathematics, physics, and engineering. In linear algebra, orthogonal vectors play a crucial role in defining orthogonal bases and orthogonal projections. They also have applications in vector calculus, where they are used to define gradients and normal vectors. In physics, orthogonal vectors are relevant in studying forces, velocities, and geometric transformations. Overall, understanding orthogonality is essential for analyzing vector relationships and geometric properties in multi-dimensional spaces.

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To find the critical numbers A and B of the function f(x) = -2x^3 + 39x^2 - 216x + 2, we need to determine the values of x where the derivative of the function is equal to zero or undefined.

First, let's find the derivative of f(x):

f'(x) = -6x^2 + 78x - 216

To find the critical numbers, we set f'(x) equal to zero and solve for x:

-6x^2 + 78x - 216 = 0

We can factor out -6 from the equation:

-6(x^2 - 13x + 36) = 0

Now, we solve the quadratic equation x^2 - 13x + 36 = 0:(x - 4)(x - 9) = 0

So, the solutions are x = 4 and x = 9.

Therefore, the critical numbers of the function f(x) = -2x^3 + 39x^2 - 216x + 2 are A = 4 and B = 9.

To find the second derivative of f(x), we differentiate f'(x):

f''(x) = -12x + 78

Now, we can find f''(A) and f''(B):

f''(A) = -12(A) + 78

= -12(4) + 78

= 30

f''(B) = -12(B) + 78

= -12(9) + 78

= -6

f''(A) = 30 and f''(B) = -6.

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The complete question is:

Consider the function f (x) = -2x^3 +39x^2- 216x + 2. This function has two critical numbers A < B:

A=?

B = ?

f " (A) = ?

f " (B) = ?

The rate of increase of the surface area (dS/dt) of a spherical balloon as it is being inflated is given by dS/dt = 4πr^2(dr/dt), where r is the radius of the balloon and dr/dt is the rate of change of the radius with respect to time.

The surface area of a sphere is given by the formula S = 4πr^2, where r is the radius of the sphere. Since we are interested in the rate of change of surface area with respect to time, we can differentiate both sides of the equation with respect to time (t).

dS/dt represents the rate of change of surface area (S) with respect to time (t), and it is equal to the derivative of the right side of the equation. Applying the chain rule, we get dS/dt = d(4πr^2)/dt.

To find dS/dt, we need to evaluate d(4πr^2)/dt. Using the power rule for differentiation, we can differentiate each term separately. The derivative of 4πr^2 with respect to t is 8πr(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

Therefore, the rate of increase of the surface area of the spherical balloon is given by dS/dt = 4πr^2(dr/dt), where r is the radius of the balloon and dr/dt is the rate of change of the radius with respect to time.

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Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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The value of an independent variable from the prior period is referred to as a lagged variable. Therefore, the correct option is A.

This is because the value is based on data from a previous time period and is used to predict the current value of the dependent variable. A lagged variable is important in time series analysis, where the values of a variable over time are analyzed to identify trends and patterns.

By including lagged variables in a model, we can account for the influence of past values on the current value, which can help to improve the accuracy of our predictions. Therefore, when working with time series data, it is important to include lagged variables as predictors in our models. Hence, the correct answer is option A.

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Answer:

Hello! Your answer would be, BELOW

Step-by-step explanation:

\(-3x^{2} - 7x - 5\)

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Term's are 7x and 5

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

x = -16

Step-by-step explanation:

given:

\(h(x) = -2x - 4\)

solve for x, when:

\(h(x) = 6\)

~~~~~~~~~~~~

➡️ \( x = -2(6) - 4 \)

➡️ \( x = -12 - 4\)

➡️ \( x = -16 \)

The solution of x when the function h ( x ) = 6 is x = -5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as h ( x )

Now , the value of h ( x ) is given by

h ( x ) = -2x - 4   be equation (1)

On simplifying the function rule , we get

when h ( x ) = 6

Substitute the value of h ( x ) = 6 , we get

6 = -2x - 4

Adding 4 on both sides , we get

-2x = 10

Divide by -2 on both sides , we get

x = 10 / -2

x = -5

Therefore , the value of x is -5

Hence , the equation is x = -5

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Answer: I'm sorry is this a real question

Phil's ball did not reach a higher maximum height than John's ball.

It should be noted that to determine whose tennis ball hit the court first, we need to find when each ball hits the ground. The equation for John's ball is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t as 1.04 seconds

So John's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

For Phil's ball, the equation is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t = 0.29 seconds or t ≈ 1.04 seconds

So Phil's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

Part 2: To determine the maximum height of Phil's ball, we need to find the vertex of the parabolic equation. The vertex of the parabolic equation f(t) = (-16t-2) (t-2) is at:

t = -b / (2a) = 15 / (2*16) ≈ 0.47 seconds

Substituting t = 0.47 seconds into the equation, we get:

f(0.47) ≈ 12.56 feet

So the maximum height of Phil's ball is approximately 12.56 feet.

To determine whether Phil's ball reached a higher maximum height than John's ball, we need to find the maximum height of John's ball. We can do this by completing the square:

f(t) = -16t^2 + 32t + 4

= -16(t^2 - 2t) + 4

= -16(t^2 - 2t + 1) + 20

= -16(t-1)^2 + 20

So the maximum height of John's ball is 20 feet.

Since 12.56 feet is less than 20 feet, Phil's ball did not reach a higher maximum height than John's ball.

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Answer: Its a

Step-by-step explanation:

The value of \(x=3+\sqrt{5}\) make the quadratic equation true.

Given equation is,

                     \((x-3)^{2}=5\)

We have to solve above quadratic equation.

Expand above equation first,

                 \((x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}\)

Thus, the value of \(x=3+\sqrt{5}\) make the quadratic equation true.

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Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong

Answer:

1950

Step-by-step explanation:

because 1950 column has the most highest number which is 11

Answer:

Between 1945 and 1950 ( from 5 to 11 ),

Step-by-step explanation:

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

Mila will receive 68 EUROS of money after the exchange of 80 US dollar.

USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.

Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.

According to the given data in the question,

1 USD =0.85 EURO

80 USD = 0.85*80 EURO

80 USD= 68 EURO

Hence 80USD will be converted to 68 EUROS

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Answer:

B,B,C

Step-by-step explanation:

#1: Meat is usually in ounces, patties weigh not too much, but enough. reasonable estimate. #2: Oil is a liquid, used not too much in baking. #3: Must be equal to 16/5.

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Step-by-step explanation:

Basically the area of sphere is 4πr² where r is radius whose value is distance from centre to the edge of the given sphere whereas π (pi) whose value is 3.14 or 22/7. It is defined as the ratio between circle's circumference and it's diameter. But are you aware about the area of circle?? Actually that is πr². If you notice carefully you'll find that area of sphere is 4 times the area of circle. So, if you're provided with the area of circle you can simply multiply the value with 4 to get the area of sphere. But if not, then simply plugin the value of radius and pi in 4πr² to find out the area of sphere.

But since the formula is almost same then how they're different? Well the difference between a sphere and a circle is because of two-dimensional and three-dimensional shape. A circle is a two-dimensional flat shape figure whereas a sphere is a three-dimensional shape.

Talking about the unit of sphere. The unit we use is always the same as the units of radius i.e. cm or m. Since, it is the square of the radius in the given formula, then the unit is also the square of the units, or cm² or m².

The formula is given by

\(\\ \rm\hookrightarrow Area=\pi r^2\)