Graph the following function. Show ONE cycle. Use the graph to determine the range of the function. Is this function EVEN or ODD? y = -7 sec x

Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

Answer:

a finite combination of symbols that is well-formed according to rules that depend on the context

Step-by-step explanation:

why do i feel like you have the same math teacher as me he asked me the same question on google classroom anyways hope this helps

Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The first significant figure is 5. Since the second number is 8 (greater than or equal to 5), the 5 rounds up to a 6. Thus the number becomes 60.

Answer:

RQ=35.51 km

PR=34.62 km

Step-by-step explanation:

Bearing of Q from P = 72 degrees

Bearing of R from Q=320 degrees

320=270+50

Therefore, the second angle of Q is 50 degrees.

\(\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ\)

Using Law of Sines

\(\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km\)

Using Law of Sines

\(\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km\)

The length of the unknown side of the right triangle is 13

A right triangle (American English), sometimes known as a right-angled triangle (British), is a triangle with one angle that is a right angle (i.e., a 90-degree angle), or two sides that are perpendicular. The link between is the basis of trigonometry.

between the right triangle's angles and sides.

The side across from the right angle is the hypotenuse (side c in the figure). Legs are the sides closest to the ideal angle (or catheti, singular: cathetus). The side a that is next to angle B and across from angle A is referred to as side b, and the side a that is next to angle A and across from angle B is referred to as side a.

Right triangles are referred to as Pythagorean triangles and their side lengths as Pythagorean if all three of their sides are integer lengths.

\(\sqrt{(12)^2+(5)^2}=13\)

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The table of values for the given equation is presented below:

x       y

-3    17

-2   2

-1    -7

0   -10

1    -7

2    2

3    17

The Standard form for a quadratic equation is  ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: \(x=\frac{-b \±\sqrt{\Delta} }{2a}\).

The given equation is a quadratic function because have a degree equal to 2. Then, when you plot the graph, you obtain a parabola.

First, you should replace the given values for x in the equation y=3x²-10

x        y

-3   y=3*(-3)²-10= 3*9-10=27-10=17

-2   y=3*(-2)²-10= 3*4-10=12-10=2

-1    y=3*(-1)²-10= 3*1-10=3-10= -7

0    y=3*(0)²-10= 3*0-10=-10= -10

1     y=3*(1)²-10= 3*1-10=3-10= -7

2    y=3*(2)²-10= 3*4-10=12-10= 2

3    y=3*(3)²-10= 3*3-10=27-10= 17

Now, you have the points to draw the graph, show the attached image.

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Answer:answer is b

Step-by-step explanation:it’s miles per hour not hours per mile

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

The confidence interval for the population mean with a 90% confidence level is approximately (483.17, 544.83).

Confidence Interval = sample mean ± (critical value * standard error)

First, we need to find the critical value. Since we have a normal distribution and a 90% confidence level, we need to find the z-score corresponding to a 5% (0.05) significance level on each tail of the distribution.

The critical value for a 90% confidence level can be found using a standard normal distribution table or a statistical calculator. For a two-tailed test, the critical value is approximately 1.645.

Next, we need to calculate the standard error, which is the standard deviation of the sample mean:

Standard Error = population standard deviation / √(sample size)

Given that the population standard deviation is 118 and the sample size is 40, we can calculate the standard error as follows:

Standard Error = 118 / √(40) ≈ 18.687

Now, we can calculate the confidence interval:

Confidence Interval = 514 ± (1.645 * 18.687)

Lower bound = 514 - (1.645 * 18.687) ≈ 483.17

Upper bound = 514 + (1.645 * 18.687) ≈ 544.83

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Answer:

74,377

Step-by-step explanation:

Given a parabola written in the form

The vertex is (h, k), the focus is (h, k+p) and the directrix is y = k - p.

Our parabola equation is

Therefore, if we compare with the form presented, the vertex of this parabola is

The focus is

And the directrix is

Huh? what do you mean

Answer:

Austin answered 7 questions incorrectly.

The speed that should be taken by Lionel to get to the destination will be 78 miles per hour.

From the information given, when Lionel drives from Barcelona to Madrid, 390 miles, it takes him about 6.5 hours.

The speed to make the trip in 5 hours will be:

Speed = Distance / Time

Speed = 390/5

Speed = 78 miles per hour.

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Answer:

The measure of Angle w in degrees is 50°

Step-by-step explanation:

We know that in a straight line, 180°

So,

90° + 40° + w = 180°

130° + w = 180°

w = 180° - 130°

w = 50°

Thus, The measure of Angle w in degrees is 50°

-TheUnknownScientist

Answer:

Step-by-step explanation:

40x  + 35x-28 = 75x - 28

40x+35x + -32x - 28 = 84xx - 28

40x - 28

40x + 35x + 32+ 28 = 75x + 60

8x X 5x=40x

8x X -4  = -32x

35x= 7x X5x

7 X -4 = -28

40x - 32x + 35x  - 28

75x- 32x = 43x-28  

I am pretty sure its the 3rd 1

For similar triangles or similar polygons, a proportional relationship is constructed between the equivalent side lengths to find the missing lengths.

Similar triangles are triangles that share these two features presented as follows:

The same will be true for any congruent polygon, hence to obtain the length RT you must:

The problem is incomplete, hence the procedure to obtain RT using similarity is presented.

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The coefficient to the base will be 8 , Option C is the correct answer.

Exponent is the power to a number which acts as the base.

It is given that

\(\rm \dfrac{6.28 \times 10^{12}}{3.14 \times 10^{4}}\)

From the rule of exponents

\(\rm a^m \times a^n = a^{m+n}\\a^m / a^n = a^{m-n}\)

This gives on solving

(6.28/ 3.14) * 10¹² ⁻ ⁴

2 * 10⁸

Therefore the coefficient to the base will be 8 , Option C is the correct answer.

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By conducting this study, you will be able to identify any areas for improvement in the measurement system or operator training. This will help to ensure that the measurements are consistent and accurate, ultimately leading to a better quality product.

To assess measurement system variation among operators using handheld calipers to measure wooden floorboards, you conducted a crossed-gage R&R study using MINITAB software. You had 3 operators use the same calipers to randomly measure 10 wooden floorboards twice, resulting in a total of 60 measurements. The data was stored in a MINITAB worksheet called Floor Board.mwx.

The graphical output of the crossed-gage R&R study will show the amount of variation that is due to the measurement system, as well as the amount of variation that is due to the operators themselves. This will allow you to identify any issues with the measurement system or operator training that may be contributing to the measurement variation.

In MINITAB, you can analyze the data using the crossed gage R&R tool. This will calculate the measurement system variation, operator variation, and the total variation. The results can be presented in a graph or table format, allowing you to easily compare the different sources of variation.

By conducting this study, you will be able to identify any areas for improvement in the measurement system or operator training. This will help to ensure that the measurements are consistent and accurate, ultimately leading to a better quality product.

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Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

Answer:

239,600

Step-by-step explanation:

The probability that the ball selected from urn II is white is 3/8, and the conditional probability that the transferred ball was white given a white ball is selected from urn II is 2/3.

To calculate the probability that the ball selected from urn II is white and the conditional probability that the transferred ball was white given that a white ball is selected from urn II, we can use the concepts of conditional probability and the Law of Total Probability.

Let's consider the events:

A: Ball selected from urn II is white.

B: Transferred ball from urn I to urn II is white.

To calculate the probability that the ball selected from urn II is white, we can use the Law of Total Probability. It states that the probability of an event can be calculated by summing the probabilities of that event occurring under different conditions.

We can calculate the probability as follows:

P(A) = P(A|B) * P(B) + P(A|B') * P(B')

P(A|B) represents the conditional probability of event A given that event B has occurred, and P(B) is the probability of event B occurring. P(A|B') represents the conditional probability of event A given that event B has not occurred, and P(B') is the probability of event B not occurring.

In this case, the probability of selecting a white ball from urn II given that the transferred ball was white is 2/3 (since after transferring a white ball, urn II will have 2 white balls and 1 red ball out of a total of 3 balls).

P(A|B) = 2/3

The probability of the transferred ball being white (event B) can be calculated as the probability of selecting a white ball from urn I, which is 2/6 (since urn I has 2 white balls and 4 red balls in total).

P(B) = 2/6

The probability of not transferring a white ball (event B') can be calculated as 1 - P(B) = 1 - 2/6 = 4/6.

P(B') = 4/6

Substituting these values into the formula, we have:

P(A) = (2/3) * (2/6) + (1) * (4/6) = 4/18 + 4/6 = 3/8

Therefore, the probability that the ball selected from urn II is white is 3/8.

Now, to calculate the conditional probability that the transferred ball was white given a white ball is selected from urn II, we can use Bayes' theorem:

P(B|A) = P(A|B) * P(B) / P(A)

Substituting the values we calculated earlier, we have:

P(B|A) = (2/3) * (2/6) / (3/8) = 4/18 / 3/8 = 8/18 = 4/9

Therefore, the conditional probability that the transferred ball was white given a white ball is selected from urn II is 4/9.Answer:

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Answer:

80

Step-by-step explanation:

From the given diagram;

KN = NM

9x - 5 = 7x + 7

9x - 7x = 7 + 5

2x = 12

x = 12/2

x = 6

Since KM= 2KL

KM = 2(6x+4)

KM = 12x + 8

KM = 12(6)+8

KM = 72+8

KM = 80

Hence the length of KM is 80

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Answer:

the nutty bars

Step-by-step explanation:

divide the price by the number of bars

Answer:

20160 ways

Step-by-step explanation:

\(8 \times 7 \times 6 \times 5 \times 4 \times 3 \\ 20160\)

Answer:

Given function:

f(t) = (-16t - 2)(t - 1)

The zeros of the function are the values of t when f(t) = 0

⇒ f(t) = 0

⇒ (-16t - 2)(t - 1) = 0

⇒ (t - 1) = 0  ⇒  t = 1

⇒ (-16t - 2) = 0  ⇒ t = -2/16 = -1/8

The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).

Since time is not negative, only one zero is meaningful:  t = 1

Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.

The height the ball is thrown can be determined by inputting t = 0 into the function:

⇒ f(0) = (-16(0) - 2)(0 - 1)

⇒ f(0) = (0 - 2)(0 - 1)

⇒ f(0) = (-2)(-1)

⇒ f(0) = 2

Therefore, the height from which the beach ball is thrown is 2 ft.

Equation: y = (-16t-2)(t -1)

1) Finding zeros of the function?

To find zero's of the function y = 0

(-16t-2)(t -1) = 0

-16t - 2 = 0, t - 1 = 0

t = 2/-16, t = 1

t = -0.125, 1

2) What do the zero's tell us? Are they meaningful?

Answer: It tells us that the time is 1 seconds when the height of the ball is 0 or at rest.

3) From what height is the ball thrown?

Insert t = 0

y = (-16(0)-2)((0) -1)

y = 2

Ball thrown from 2 feet.

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)