What is the exact value of sin (-5x/3
1/2
-1/2
✔️3/2
-✔️3/2

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

Answer:

Probably B

Step-by-step explanation:

Answer:

here I drew it digitally Hope it helps

Step-by-step explanation:

The graph of the function is a V-shaped curve.

Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.

To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:

Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.

Set the expression inside the absolute value equal to zero and solve for x to find this critical point:

|x - 4| = 0

x - 4 = 0

x = 4

So, the critical point is x = 4.

Next, consider the behavior of the function on each side of the critical point.

Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.

Let's choose x = 2:

f(2) = 7|2 - 4| - 1

f(2) = 7|-2| - 1

f(2) = 7(2) - 1

f(2) = 14 - 1

f(2) = 13

Let's choose x = 6:

f(6) = 7|6 - 4| - 1

f(6) = 7|2| - 1

f(6) = 7(2) - 1

f(6) = 14 - 1

f(6) = 13

Therefore, we have the points (2, 13) and (6, 13) on the graph.

Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.

To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).

The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).

Extend the arms of the V-shaped curve indefinitely in both directions.

Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.

Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.

The graph of the function is attached.

Learn more about Function click;

https://brainly.com/question/30721594

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Answer:

86 thousand 5 hundred and 3

Step-by-step explanation:

Answer: p(x) = $1*(2)^x

Step-by-step explanation:

First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.

So after the first hour, the payment wil be 2*$1 = $2.

After the second hour, the payment will be 2*(2*$1) = $1*(2)^2

After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3

We already can see the pattern here, after x hours, the payment will be:

p(x) = $1*(2)^x

This is the function that models this situation.

Answer:

24 inches

Step-by-step explanation:

The television is  a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in  no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches

Answer:

930m

Step-by-step explanation:

It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

Answer: 25%

Step-by-step explanation:

First week of July = 1040 people

Fourth week of July = 1040- 100 + 130 - 290 = 780

The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:

= (1040 - 780) / 1040 × 100

= (260 / 1040) × 100

= 0.25 × 100

= 25%

Answer:

6.6 repeating = 6.7

46/7 = 6.7

6.8 = 6.8

47(root) = 6.9

Some of these answers have repeating numbers so I just rounded em.

Hope this helps :D

Answer:

Step-by-step explanation:

Below numbers are divisible by the number of students:

Lets find GCF of 24 and 36:

The largest possible number of students is 12

Answer:

B and 7

Step-by-step explanation:

because 9 minus 2 is 7

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

Step-by-step explanation:

f(-1)=-42(-1)+3....placing -1 in x

f(-1)=42+3

f(-1)=45

Answer:

answer is A

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Mother=5hrs

Sandy and Allen and mother=2.5

Allen with mother=3.5

It would take sandy 5hrs coz she decorates the house herself so if u think logically it took her mother 5 hrs so it would take her.Coz its only her doing it no one else is helping!

Answer:

The answer is 6.5 meters tall

Step-by-step explanation:

650 divided by 100

do your 2 loops to the left and you get 6.5

Answer:

Depends how many questions there is.

Step-by-step explanation:

Answer:

He did not multiply 2/3 by a fraction equal to 1.

Step-by-step explanation:

For example he could have multiplied 2/3 by 4/4

= 2*4/3*4 = 8/12,

Answer:

1 mi 1927 ft

Step-by-step explanation:

Turn everything into feet:

5mi x 5280 ft/1 mi  = 26,400ft + 1,348 ft = 27, 748 ft

3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft

Do the subtration that the problem wants you to do:

27, 748 ft - 20,541 ft = 7,207 ft

Turn the answer into mi & ft:

7,207 ft - 5280 ft = 1927 ft

=

1 mi 1927 ft

Answer:

y=2x

Step-by-step explanation:

Answer:

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 36 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes

The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation: