What is 32/3 as a mixed fraction form

Step-by-step explanation:

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The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer:

\(5(4x + 3) = 20x + 15\)

\(20x + 3\)

5(4x + 3) is not equal to 20x + 3. The 5 is distributed to the 4x and 3 resulting in 20x + 15 and not 20x + 3.

Answer:

x=60° or 300°

Step-by-step explanation:

2cosx=1

cosx=1/2

cosx=cos60°,cos(360-60)°

cosx=cos60,cos300

either,

cosx=cos60

x=60

or,

cosx=cos300

x=300

Answer:

Step-by-step explanation:

Answer:

Area of ΔXYZ = 10 square units

Step-by-step explanation:

Area of the triangle XYZ = \(\frac{1}{2}(\text{Height})(\text{Base})\)

Height of the triangle = AY

Base of the triangle = XZ

To get the length of any segment we will use the formula,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2)}\)

Here \((x_1,y_1)\) and \((x_2,y_2)\) are the endpoints of the segment.

Length of AY = Distance between (-1, 4) and (3, 6)

                      = \(\sqrt{(6-4)^2+(3+1)^2}\)

                      = \(\sqrt{20}\)

Length of XZ = \(\sqrt{(6-2)^2+(-2-0)^2}\)

                      = \(\sqrt{20}\)

Area of ΔXYZ = \(\frac{1}{2}(\sqrt{20})(\sqrt{20})\)

                       = 10 square units                      

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative.

Answer:

Option (a)

Step-by-step explanation:

\(\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}\)

Answer:

Step-by-step explanation:

34,000 liters of oil = 34 kiloliters.

Based on the concept of conversion in measurement, and the content of the question, the 34000 liters is 34kl

Conversion in measurement is a term that is used to describe the same property as a different unit of measurement.

Generally, the term conversion can be used for instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

To convert liters to kiloliters you need to divide the given volume in liters by 1000.

So to find how much 34000 liters is in kiloliters you would perform the following calculation:

34000 liters ÷ 1000 = 34 kiloliters

Therefore, in this case, it is concluded that 34000 liters is equivalent to 34 kiloliters.

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95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

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Answer:

the condition is b= 0

Step-by-step explanation:

Given that:

The  a linear function f(x) = mx + b, m ≠ 0

Recall that:

A function is a linear function if:

\(f(x_1 + x_2) = f(x_1) + f(x_2)\)

\(f(cx) = cf(x)\)

So, if:

\(f(x_1+x_2) = m(x_1+x_2) + b\)

Then

\(f(x_1+x_2) = mx_1+mx_2+ b\)

\(f(x_1+x_2) = f(x_1) + f(x_2) -b\)

\(f(x_1 + x_2) = f(x_1 +x_2)\)     if   b = 0

\(f(cx) = m (cx) + b\)

\(f(cx) =c(mx) + b\)

\(f(cx) =cf(x)\)    if    b = 0

Therefore, the condition is b= 0

Answer:

x = 4

Step-by-step explanation:

The input values are the x-values represented in the graph while the output values are the y-values.

The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.

Thus:

For f(x), when x = 4, y = 3. That is f(4) = 3.

Also, for g(x), when x = 4, y = 3. That is g(4) = 3.

Therefore, the input values that produces the same output values for both functions is x = 4.

Answer:

D: x = 4

Step-by-step explanation:

just took the test :-)

Answer: D

Step-by-step explanation:

The key to finding the line perpendicular to the one given is teh slope. The slope is the opposite reciprocal of the original line.

m=3

perpendicular m=-1/3

Now that we know the slope, we can see which of our answer choices have -1/3 as the slope. We can see D is the only option that has -1/3 for slope.

Answer:

D) y = -1/3x - 4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that since the slope of this line is 3, the slope of a line perpendicular to it would be -1/3 because:

Original slope: 3 (3/1)

Reciprocal (flipped): 1/3

Negative reciprocal (opposite sign): -1/3

The only equation with a slope of -1/3 is D. Therefore, that is the correct answer.

Hope this helps!

Answer:

See below

Step-by-step explanation:

11 13 17 19       4 out of 10 is 40 %

Answer:

200

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The two is in the hundredths place

Answer:

X can be any number it' a variable

Step-by-step explanation:

Answer:

56.25    units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

Answer:

The process of repeating additions of the same number.

Step-by-step explanation:

multiply using distributive property  ... i think

Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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After answering the provided question, we can conclude that As a result, expression there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.

An expression in mathematics is a collection of characterizations, digits, and huge corporations that resemble a significant correlation or regimen. A real number, a flexible, or a combination of the two can be used as an expression. Mathematical operators include addition, multiplication and division, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

The combination formula gives the number of ways to choose 5 numbers from a set of 28 where order is irrelevant:

(k!(n-k)!) = nCk

where n represents the total number of items in the set (28 in this case), and k represents the number of items to be chosen (5 in this case).

When we plug in the values, we get:

\(28C5 28!/(5!(285)!) (28x27x26x25x24)/(5x4x3x2x1) = 98, 280\)

As a result, there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.

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The complete question is

: A certain lottery has 26 numbers.

In how many different ways can 5 of the numbers be selcted?

(assume that order of selection is not important)

26! 26x25x24x23x22x21

____ -----------------= 1,578,720

(26-5)!5! 105

Answer:

Five

Step-by-step explanation:

Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.

Suppose A = 5 × 7 matrix

So; if A columns span set of real numbers R⁵

The number of pivot columns that A must have must be present in each row. In a  5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :

The matrix must have five pivot columns and we can infer that about  the statements that "A has a pivot position in every row"  and "the columns of A spans R⁵" are logically equivalent.

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

2x + 15 = 37 - 2

Step-by-step explanation:

we know his age is the variable x

so (Two times his age plus fifteen equals thirty seven minus two) turns into:

2x (plus fifteen equals thirty seven minus two)

plus fifteen is +15 so now we have:

2x + 15 (equals thirty seven minus two)

equals is =, so now we have:

2x + 15 = (thirty seven minus two)

thirty seven is 37, so now we have:

2x + 15 = 37 (minus two)

minus two is -2, so now we have:

2x + 15 = 37 - 2

Answer: They are not parallel, they are coincident

Step-by-step explanation:

If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.

We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:

5x - y =-5

5x - y -5x = -5 - 5x (adding -5x to both sides)

-y = -5 - 5x

Multiplying by -1

y = 5x + 5

Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.

Answer:

x=1

Step-by-step explanation:

(x+1)(x+2)(x+3)(x+4)=120

Split 120 in it's factors: 2x3x4x5

=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5

=>x+1=2 (Take any one in order)

=>x=1

Answer:

x=1

Step-by-step explanation:

120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)

so x+1=2

    -1      -1

    x=1