Which expression is equivalent to 2 × 2 × 2?

Answer:

50

Step-by-step explanation:

as triangle is =180

then , 30 +100 +x =180

130 +x = 180

x= 180-130

=50

Answer:

50 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already a 30 and 100.

180-30-100=50.

Hope this helps =]

Answer:

30 ft

Step-by-step explanation:

Answer:

122 ft

Step-by-step explanation:

The 100 ft and the 70 ft are two legs of a right triangle....their distance apart is the hypotenuse of this triangle ....use Pythagorean theorem

d^2 = 100^2 + 70 ^2

  d = 122 ft

Answer:

(5p - 7q) + (3q - 4p + 12) + (6q - 13pq - 15)

Open brackets

5p - 7q + 3q - 4p + 12 + 6q - 13pq - 15

Combine like terms,

5p - 4p - 7q + 3q + 6q - 13pq + 12 - 15

p + 2q - 13pq - 3

Thus, The answer is (p + 2q - 13pq - 3)

Answer:

p + 2q - 13pq - 3

Step-by-step explanation:

Now we have to,

→ Add the following expressions.

The expressions are,

→ 5p - 7q, 3q - 4p + 12, 6q - 13pq - 15

Let's solve the problem,

→ (5p - 7q) + (3q - 4p + 12) + (6q - 13pq - 15)

→ 5p - 7q + 3q - 4p + 12 + 6q - 13pq - 15

→ (5p - 4p) + (-7q + 3q + 6q) + (-13pq) + (12 - 15)

→ (p) + (2q) + (-13pq) + (-3)

→ p + 2q - 13pq - 3

Hence, answer is p + 2q - 13pq - 3.

Answer:

standard form is f(x) = ax^2 + bx + c

sample equation: f(x) = 5x^2 + 10x + 5. a=5, b=10, c=5

Step-by-step explanation:

a, b, and c are real numbers in the standard form equation. if a>0 the parabola opens upwards, if a<0 parabola opens downwards

Answer:

f(x)=ax2+bc+c

Step-by-step explanation:

I think...

The required volume for the given data is 125 cubic meter.

Cube is the geometrical figure in all sides are equal. Area of cube is square of side and its volume is cube of sides.

According to given data in the question:

sum of all edge of cube = 60m

we know number there are 12 sides in the cube

let length of a side be a

then,

12a = 60

a = 5m

now volume of the cube = (5)^3 = 125 cubic meter.

Thus, required volume of the cube is 125 cubic meter.

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complete question:

The sum of the length of the edges of a cube is 60 CM let us find out the volume of the cube​.

As the number of observations in a data set grows, you would expect this range to decrease in size because the width of the confidence interval will decrease, resulting in a narrower range of possible values for the true value of β1.

To determine the range of the true value of β1, we need to use a confidence interval. Assuming a 95% confidence level, the range of the true value of β1 would be:

β1 ± t(0.025, df) x SE(β1)

where t(0.025, df) is the t-value for a 95% confidence level with (n-2) degrees of freedom, and SE(β1) is the standard error of the estimate of β1.

Since we don't know the degrees of freedom or the value of β1, we cannot calculate the exact range of the true value. However, we can say that the range will be centered around the estimated value of β1 with a width determined by the product of the t-value and the standard error.

As the number of observations in a data set grows, the standard error of the estimate of β1 will generally decrease, since there is more data to estimate the true value of β1. This means that the width of the confidence interval will also decrease, resulting in a narrower range of possible values for the true value of β1.

Therefore, as the number of observations grows, we would expect the range to decrease in size.

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By using the commutative property the simplified expression would be 8/9.

What is the commutative property of multiplication?

The commutative property of multiplication states that changing the order of factors has no effect on the product. For instance, 4*3 = 3*4.

The given expression is

                2/5 * 2/9 * 10

Simplifying this, we get

                = (2/5 * 2/9) * 10

By using commutative property, we can write

                 = (2/9 * 2/5) * 10

                 = (4/45) * 10

                 = 10 * (4/45)

                 = 2 * 4/9

                 = 8/9

Hence by using the commutative property the simplified expression would be 8/9.

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To solve for p, we have to use inversal operations to solve equations, multiplication and division are inverse operations, power and roots are also inverse operations, then:

Answer:

2.5

Step-by-step explanation:

slope is rise/run, (y2-y1)/(x2-x1)

We have two points clearly given to us on this graph so let's just use those.

(-1,-3) and (1,2)

= (-3-2)/(-1-1)

=(-5)/(-2)

=2.5

Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

An example of a function which is differentiable function on the real line r with exactly two roots but its derivative having 5 roots is\(f(x) = (x+2)(x-3)^2\)

The given information implies that the function f(x) has two x-intercepts and the derivative of f(x), denoted as f'(x), has five x-intercepts. Therefore, the graph of f(x) must have two local extrema (one minimum and one maximum) and the graph of f'(x) must have three local extrema (two minima and one maximum).

To construct an example of such a function, consider the following:

\(f(x) = (x+2)(x-3)^2\)

The function f(x) has two roots at x = -2 and x = 3, and its derivative is:

\(f'(x) = 3(x-3)^2 + 2(x-3)(x+2)\)

Simplifying f'(x), we get:

\(f'(x) = 5(x-3)^2 - 4(x-3)(x+2)\)

The derivative f'(x) has roots at x = -2, x = 1, x = 3, x = 5, and x = 9, implying that f(x) has local extrema at x = 1 and x = 5.

Thus, this example function satisfies the given conditions.

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Answer:

A-9(1=6)

Step-by-step explanation:

Correct on edg

Answer:

option D is correct

x=O and x=-8

The frequency of scores falling into this interval is 11. Therefore, 11 students scored at least 1,800 but less than 2,000.

A frequency distribution is a way to organize and present data by grouping it into intervals or classes and showing how many observations fall into each interval.

In this case, the data given represents the raw scores of thirty students who took the SAT on the same Saturday.

To create a frequency distribution, we can group the data into classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on.

To create this frequency distribution, we can use the Excel data file provided and create a histogram. The histogram will show the frequency of scores falling into each class or interval.

The interval 1,800 up to 2,000 will contain the scores 1,800, 1,810, 1,820, 1,830, 1,840, 1,870, 1,900, 1,910, 1,950, 1,950, 1,980, and 2,000.

To find how many students scored at least 1,800 but less than 2,000, we need to add up the frequencies in this interval.

In conclusion, creating a frequency distribution helps to organize and summarize data. By grouping the data into intervals or classes, we can better understand the distribution of the data and answer questions related to it.

In this case, we were able to determine how many students scored at least 1,800 but less than 2,000 by using the frequency distribution created.

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(a) The appropriate null and alternative hypotheses for this scenario are:

Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².

Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²

(b) The p-value for the test statistic X = 1340 is approximately 0.0193

Hypothesis testing is a statistical method used to make inferences or decisions about a population based on sample data.

To test these hypotheses, a sample of 12 specimens is taken, and the sample mean compressive strength (X) is calculated. The test statistic used in this case is the sample mean itself.

The p-value is then calculated to determine the probability of observing a sample mean as extreme as the observed value (1340) under the assumption that the null hypothesis is true.

(a) The appropriate null and alternative hypotheses for this scenario are:

Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².

Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²

(b) To find the p-value for the given test statistic X = 1340, we need to calculate the probability of obtaining a sample mean as extreme as X, assuming the null hypothesis is true.

Since the sample size is 12 and the population standard deviation is known (σ = 67), use the normal distribution to approximate the sampling distribution of the sample mean.

The test statistic is X itself, and find the probability of obtaining a sample mean as extreme as 1340 or more, given that the null hypothesis is true.

Using the known population standard deviation, calculate the standard error of the sample mean (SE) as σ/sqrt(n), where σ = 67 and n = 12.

=> SE = 67/√(12) ≈ 19.334

To calculate the z-score, subtract the assumed population mean (1300) from the observed sample mean (1340) and divide it by the standard error:

z = (1340 - 1300) / 19.334 ≈ 2.069

Now, find the p-value associated with this z-score using a standard normal distribution table or calculator.

The p-value represents the probability of obtaining a z-score as extreme as 2.069 or more.

Consulting a standard normal distribution table or using a calculator,

Find that the area to the right of 2.069 is approximately 0.0193.

Therefore,

(a) The appropriate null and alternative hypotheses for this scenario are:

Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².

Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²

(b) The p-value for the test statistic X = 1340 is approximately 0.0193.

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we have that

50%=50/100=0.50

Multiply the total tickets sold by the factor of 0.50

so

94*0.50=47 tickets

The value of the line integral ∫C F⋅dr = 1.193.

To evaluate the line integral ∫C F⋅dr, we first need to calculate F⋅dr, where F= 〈−4sinx, 4cosy, 10xz〉 and dr is the differential of the vector function r(t)= (2t^3,-3t^2,3t) for 0 ≤ t ≤ 1.

We have dr= 〈6t^2,-6t,3〉dt.

Thus, F⋅dr= 〈−4sinx, 4cosy, 10xz〉⋅ 〈6t^2,-6t,3〉dt

= (-24t^2sin(2t^3))dt + (-24t^3cos(3t))dt + (30t^3x)dt

Now we integrate this expression over the limits 0 to 1 to get the value of the line integral:

∫C F⋅dr = ∫0^1 (-24t^2sin(2t^3))dt + ∫0^1 (-24t^3cos(3t))dt + ∫0^1 (30t^3x)dt

The first two integrals can be evaluated using substitution, while the third integral can be directly integrated.

After performing the integration, we get:

∫C F⋅dr = 2/3 - 1/9 + 3/5 = 1.193

Therefore, the value of the line integral ∫C F⋅dr is 1.193.

In conclusion, we evaluated the line integral by calculating the dot product of the vector function F and the differential of the given path r(t), and then integrating the resulting expression over the given limits.

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Answer:

True, they are in a proportional relationship

Step-by-step explanation:

Well we can make a graph of what the points are

The first point there is, is  (0,5)

so (0,5)

The second point is (1,10)

(0,5)

(1,10)

They are porportional so far

Third point is (2,15)

You see the pattern?

If there is a pattern, its proportional

the pattern is for every 1 X, there is 5 y

Except for the first one, there is a starting value but it still makes sense

So true

Answer: 3y^4 - 4y^2 + 5

Step-by-step explanation:

Im fairly sure this is the answer but again i dont know

3y^8 = 3 x y x y x y x y x y x y x y x y

4y^6 = 4 x y x y x y x y x y x y

5y^4 = 5 x y x y x y x y

=  

(3×y×y×y×y×y×y×y×y)−(4×y×y×y×y×y×y)+(5×y×y×y×y)

                                         y^4

= y^4 [(3×y×y×y×y)−(4×y×y)+(5)]

​

=  3y^4 - 4y^2 + 5

Answer:

Answer:

  AB = (7, 4)

Step-by-step explanation:

The components of vector AB are found by subtracting the coordinates of A from the coordinates of B.

__

On this graph, no coordinates are shown. We assume each grid line represents 1 unit.

If we assign coordinates (0, 0) to A, then B is 7 units right and 4 units up. Its coordinates are (7, 4) and the difference is ...

  AB = B -A = (7, 4) -(0, 0)

  AB = (7, 4)

Answer:

it's D I think

Step-by-step explanation:

..........

Answer:

D

Step-by-step explanation:

A line segment is a straight line that ends , the arrows mean the the ray or line dont end

Answer:

So to get the length of the side of this cube you have to find the cube root of 216 . And that is 6.( Use the trick that you can learn on you tube to find out the cube root .)

So a cube has equal lengths width and heights . This means that each of the cube's six faces is a square . The total surface area is therefore six times the area of one face.. to work out one face area .you multiply one width by height . . In this case it is 6 X 6 = 36

36 cm squared. Is one cube face . Multiply this by 6 for each of the 6 faces. 36X6 = 216 cm2 . In this case volume is equal to surface area of once face x 6 .

Step-by-step explanation:

I'm not sure if i did right or not but i hope it helps

Answer:

74 or 73

Step-by-step explanation:

We are going to assume that the show is sold out.  If 66 student tickets were sold, we only have 74 adult tickets to sell.  Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students.  Our inequality looks like this:

5.50(66) + 7.50(a) ≥ 910 and

363 + 7.50a ≥ 910 and

7.50a ≥ 547 so

a ≥ 73

In order to meet our money requirement, we have to sell 73 adult tickets.  Since we have 74 seats left, we are good.

A cyclic quadrilateral is a quadrilateral inscribed in a circle

The measure of angle A is 106

From the question, we have:

<C= 74

Opposite angles of a cyclic quadrilateral add up to 180.

So, we have:

<A + <C = 180

This gives

<A + 74 =180

Subtract 74 from both sides

<A =106

Hence, the measure of angle A is 106

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9514 1404 393

Answer:

  √3

Step-by-step explanation:

Remove all multiples of 2π from the angle. This gives you a coterminal angle in the range 0–2π.

  tan(13π/3) = tan(4π +π/3) = tan(π/3)

You have memorized this value, so you know tan(π/3) = √3.

  tan(13π3) = √3

Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

Step-by-step explanation:

Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not

Answer:

A

Step-by-step explanation: