Write -42/9 as a mixed number in reduced form. -3 15/9 -4 5/9 -4 2/3 -4 6/9

A- none because they are parallel lines

Answer:

its A

Step-by-step explanation:

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

8. 72% × 850

= 72/100 × 850

= 72 × 8,5

= 612 ( b )

9. Poin B = 4 ( b )

Answer:

8. B

9. B

10. C

Step-by-step explanation:

8. To find 72% of 850, you would multiply 0.72 x 850. When you do that, it gives you 612.

9. B is on the number 4.

10. The expression is asking, "What is the absolute value of 28?". Absolute value means that the number inside will always be positive. For example, if it was -28, the absolute value would turn to 28. Since the question has 28 already positive, there is no change, so the answer would be 28.

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

Answer:

11 and 22

Step-by-step explanation:

radius is

r = 11 cm

diameter is

d = 2r = 2×11 = 22cm

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31  There you go! May I have Brainliest?

The regression equation is Y = −12.201 + 2.195x.

In the given question,

A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

We have to find the regression equation.

Given that,

Coefficient of Intercept(a) = −12.201

Coefficient of Number of contacts(b) = 2.195

The regression equation is,

Y = a + bx

Y = −12.201 + 2.195x

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The right question is:

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

What is the regression equation?

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

Answer:

Step-by-step explanation:

Comment

I take it you want the value for x.

Solution

4(x-5)-(6x + 1)= 2x -19                       Remove the Brackets.

4x - 20 - 6x - 1 = 2x - 19                   Combine like terms

-2x - 21 = 2x - 19                              Add 2x to both sides

-2x-21+2x = 2x + 2x - 19                  Combine

-21 = 4x - 19                                     Add 19 to both sides

-21+19 = 4x -19 + 19                          Combine like terms

-2 = 4x                                              Divide by 4

-2/4 = x

x = - 1/2

Answer: x = - 1/2

or x = -0.5

The required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

Given that,
The systolic blood pressure of women is normally distributed with a mean of 150 mmHg. and a standard deviation of 10 mmHg.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
z = [ x - μ]/σ
Accoding to the question,

= p[z < (170-150)/10] -  p[z < 130-150/10]
= p [z <2] - p [z < -2]
= 0.9772 - 0.0228
= 95.44%

Thus, the required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

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Answer:

A) 3

Step-by-step explanation:

Zeroes, x-intercepts, or roots, are the x-values where the function intersects the x-axis. We can see that the x-axis is intersected 3 times, so there are 3 zeroes.

7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Mass of a soccer ball = x

It can't be greater than 0.37 and less than 0.31

So, the inequality:

0.31 ≤ x ≤ 0.37

Since a soccer bag has 2 balls in it, multiply the inequality by 2:

2 (0.31) ≤ 2 x ≤ 2 (0.37)

0.62 ≤ 2x ≤ 0.74

Greatest mass = 0.74

Least mass = 0.62

Answer:

The unit rate is also 18 feet per second.

Step-by-step explanation:

To express the rate, we can use the formula:

rate = distance / time

Using the values given in the problem:

rate = 540 feet / 30 seconds

Simplifying this equation:

rate = 18 feet per second

Therefore, the rate at which the bicyclist is traveling is 18 feet per second.

To express this as a unit rate, we simply divide the distance and time by the same value. In this case, we can divide both by 30 seconds:

unit rate = 540 feet / 30 seconds ÷ 30 seconds / 30 seconds unit rate = 18 feet / second

The unit rate is also 18 feet per second.

Answer:

-31/4

Step-by-step explanation:

P(2)= (2)^2-4*2+3=-1

P(-1)= (-1)^2-4(-1)+3=8

P(1/2)= (1/2)^2-4*1/2+3=5/4

P(2)-P(-1)+P(1/2)= -1-8+5/4=-31/4

Looks like the claim is

(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

as well as the definition of tangent:

tan(x) = sin(x) / cos(x)

Then on the left side, we can cancel factors of 2 sin(x) to get

(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))

= (1/cos(x) - cos(x)) / sin(x)

Multiply this by cos(x)/cos(x) :

(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))

Recall that for all x,

sin²(x) + cos²(x) = 1

so that

(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))

= sin(x) / cos(x)

= tan(x)

as required.

No, least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relationship between two variables when the data indicates such a relationship.

The most used modeling technique is without a doubt linear least squares regression. It is what most people mean when they claim they fitted a model to their data using "regression," "linear regression," or "least squares."

The independent variable in a cause-and-effect relationship is the cause, while the dependent variable is the effect. A technique for predicting the value of a dependent variable Y based on the value of an independent variable X is known as least squares linear regression. That's why least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

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Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer:

b, if done this 12 days ago.

Step-by-step explanation:

Answer:

-169.541667

Step-by-step explanation:

Answer:

Step-by-step explanation:

i belive your asnwer would be -257/24 but what are u trying to find?  

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

y=5x+44

Step-by-step explanation:

Parallel lines have equal gradients therefore the line will have a gradient =5

Substitute the gradient into the equation y= mx+c. You'll get something like this: y=5x+c

Substitute the given point into the equation. You'll get something like this: 9=5(-7)+c

Calculate the value of c. You'll get 44 as the value of c.

Then substitute the value of c into the original equation. You'll get y= 5x+44