Analyze the function’s graph to determine which statement is true.

Over the interval [–2.5, 0.5], the local maximum is 2.
As the x-values go to positive infinity, the function’s values go to negative infinity.
The function is decreasing over the interval (–1, 0.75).
The function is negative for the interval [–2, 0].

Answer:

Step-by-step explanation:

A

Answer:

1.4 pounds

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

8x2.8 = 22.4

22.4/16 = 1.4 pound

Answer:

b.Z

Step-by-step explanation:

Answer:

4.09 seconds

Step-by-step explanation:

simplify miles per hour to feet per second how many feet is a mile and how many seconds are in an hour you end up with 88 fps from 60 mph

now simply a football field is 360 feet so 360/88 is 4.09090909 etc

Your eyes off the road for 4.09 seconds.

The rate of change of position of an object in any direction is called the speed.

Given that, Taking your eyes off the road for how many seconds at 60 miles per hour means you have travelled blindly for half the length of a football field,

Converting 60 mph into fps

60 mph = 88 fps

The length of a football field = 360 ft

Time = 350/88

= 4.09 seconds.

Hence, you travelled for 4.09 seconds.

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a. The equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

b. The equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

To find the trigonometric expression for cos(4x)

cos(4x) = cos[2(2x)]

Now from trigonometric identities

cos2Ф = 2cos²Ф - 1

Let 2x = Ф.

So, cos(4x) = 2cos²2x - 1

Also, cos2x = 2cos²x - 1

So, substituting cos2x into cos4x, we have

cos(4x) = 2cos²2x - 1

cos(4x) = 2[2cos²x - 1]² - 1

cos(4x) = 2[4cos⁴x - 4cos²x + 1] - 1

cos(4x) = 8cos⁴x - 8cos²x + 2 - 1

cos(4x) = 8cos⁴x - 8cos²x + 1

So, the equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

To find the expression for sin(4x)

sin(4x) = sin2(2x)

From trigonometric identities sin2Ф = 2sinФcosФ

Let 2x = Ф

So, sin(4x) = sin2(2x)

= 2sin2xcos2x

Since

Substituting these into the equation, we have

sin(4x) =  2sin2xcos2x

sin(4x) = (2sinxcosx)(2cos²x - 1)

sin(4x) = 4sinxcos³x - 2sinxcosx

So, the equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

y = -7x - 11

Step-by-step explanation:

Answer:

17°

Step-by-step explanation:

6 = 4x

7 = 2x + 34

4x - 2x = 2x

Since 6 and 7 are vertically opposite angles, they have the same angle.

2x = 34

X = 34 ÷ 2 = 17

Step-by-step explanation:

< 6 and < 7 are vertically opposite angles so.

< 6 = < 7

4x = 2x + 34°

4x - 2x = 34°

2x = 34°

x = 17°

Hope it will help :)

Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

To minimize the amount of paper used, the dimensions of the rectangular page should be 5 inches by 6 inches.

Let's assume the length of the page is x inches. Since there are 1-inch margins on each side, the effective printable width of the page would be (x - 2) inches. Similarly, the effective printable height would be (24 / (x - 2)) inches, considering the print area of 24 in^2.

To minimize the amount of paper used, we need to find the dimensions that minimize the total area of the page, including the printable area and margins. The total area can be calculated as follows:

Total Area = (x - 2) * (24 / (x - 2))

To simplify the equation, we can cancel out the common factor of (x - 2):

Total Area = 24

Since the total area is constant, we can conclude that the dimensions that minimize the amount of paper used are the ones that satisfy the equation above. Solving for x, we find x = 6. Hence, the dimensions of the page should be 5 inches by 6 inches, with 1 1/2-inch margins at the top and bottom and 1-inch margins on each side.

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The test statistic depends on the specific hypothesis test being conducted.

In general, a test statistic is a value calculated from the sample data that is used to assess the likelihood of observing the data under the null hypothesis. It is used to make a decision about whether to reject or fail to reject the null hypothesis. The choice of test statistic depends on the specific hypothesis being tested and the nature of the data.

To determine the test statistic in a given hypothesis test, it is necessary to specify the null hypothesis, the alternative hypothesis, and the appropriate statistical test being used. This information is crucial in calculating the test statistic and interpreting its significance. Without these details, it is not possible to provide a specific test statistic in this context.

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The complete question is:

A software company is interested in improving customer satisfaction rate from the 75% currently claimed. The company sponsored a survey of 152 customers and found that 120 customers were satisfied. What is the test statistic z?

Answer:

i think its to late to answer... sorry i didnt see it sooner.

Step-by-step explanation:

ill take that brainliest

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

\(\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720\)

There are 720 different orders for the candidate name to be printed.

Matching design study , would conduct this study with a paired design with repeated measures . It helps to see that a chewing gum would help people memorize words or not.

Using a matching design, you will divide the subjects into 2 groups. Randomly selected 10 subjects from 20 subjects will be grouped in Each group .Then you will give all 10 participants one group a chewing gum. To conduct the study using an independent sample design, her one group of students was asked to remember words while chewing gum,and the other group of students was asked to remember words while chewing gum and other group will be asked to memorize words when not chewing the gum. This makes the study an independent samples design because in this way the samples are not paired with each other. Paired with repeated measures is more appropriate for this study because in the case of independent samples design the difference in memorization could not just be because of chewing gum but could be because of the memorization skill of the student. This variation is known as between subject variance.

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer:

y + 5 = x

Step-by-step explanation:

y= 15 * 3x

Subtract 15 on both sides

y - 15 = 3x

Divide 3 on both sides

y + 5 = x

(I hope this helps and sorry if i'm wrong)

Answer:

9

Step-by-step explanation:

after the decimal point it go's tenths hundredths thousandths and so on

The number of seats in the theater is 1510.

Here we have to find the number of seats in the theater.

Data given:

Total row = 20

number of seats on the first row = 28

number of seats on the second row = 33

number of seats on the third row = 38

Therefore we get the series as 28, 33, 38......., which is in arithmetic sequence.

The common difference (d) = 5

Here we have to find the sum of the series.

The formula for the sum of n term of the arithmetic sequence:

\(S_{n}\) = n/2( 2a + (n-1)d)

    = 20/2 ( 2× 28 + (20 -1) 5)

    = 10 ( 56 + 19×5)

    = 10( 56 + 95)

    = 10 ×151

    = 1510

Therefore the number of seats is 1510.

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Step-by-step explanation:

1) Cotangent is cosine over sine.

From unit circle, cos 30° = ½√3 and sin 30° = ½

cot 30° = cos 30° / sin 30°

cot 30° = (½√3) / ½

cot 30° = √3

2) Cosecant is the inverse of sine.

From unit circle, sin π/4 = 1/√2

csc π/4 = 1 / sin π/4

csc π/4 = 1 / (1/√2)

csc π/4 = √2

The estimated mean score is given as follows:

19.12.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

For each score, we consider it to be the mean of each interval in the frequency table, hence the sum of all scores is given as follows:

4 x 19 + 9 x 14 + 13 x 15 + 18 x 28 + 28 x 10 + 43 x 13 = 1740.

The total number of scores is of:

19 + 14 + 15 + 20 + 10 + 13 = 91.

Hence the mean score is obtained as follows:

1740/91 = 19.12.

The frequency distribution for this problem is given as follows:

1-7:19

8-10:14

11-15:15

16-20:20

21-35:10

36-50:13

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Answer:

3+ 2x = 5

Step-by-step explanation:

Hey there!

So translating the words in that equation:

"three more" = Adding three..Key word.. More

Product of a number= This lets us know that we are dealing with a multiplication problem. So The product of a number and 2 means 2x or 2(x) but we'd normally put it as 2x.

equals 5 = This is the end of our equation. Equals means an equal sign.

Therefore, if we put this equation in order properly, it should look like:

3 + 2x = 5

Hope this helps you. Feel free to comment any questions you may have. I'm glad to help.

Answer:

7

Step-by-step explanation:

Answer:

Let the number of stickers tina has = x

The number of stickers Courtney has = x-12

The smallest positive integer value of x for which\(f(x) = 2^x + 2\) exceeds \(g(x) = 12x + 8\)  is x = 4.

To find the smallest positive integer value of x for which the value of\(f(x) = 2^x + 2\) exceeds the value of g(x) = 12x + 8, we need to compare the two functions and determine when the inequality is satisfied.

Setting up the inequality, we have:

\(2^x + 2 > 12x + 8\)

First, let's simplify the inequality by subtracting 8 from both sides:

\(2^x - 6 > 12x\)

Now, we can try to solve this inequality by considering different values of x.

However, it is challenging to find an exact solution by hand due to the exponential nature of \(2^x.\)

Therefore, let's graph the two functions,\(f(x) = 2^x + 2\) and g(x) = 12x + 8, to visually determine the point of intersection.

Upon graphing the functions, we observe that the graphs intersect at some point.

We can see that the value of f(x) starts to exceed g(x) as x increases.

To find the smallest positive integer value of x for which f(x) exceeds g(x), we need to analyze the graph and determine the first integer value after the intersection point where f(x) is greater than g(x).

Examining the graph, we find that the smallest positive integer value of x for which f(x) exceeds g(x) is x = 4.

Therefore, the answer is x = 4.

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Answer:

3.5

Step-by-step explanation:

-11-3, then that divided by -4.

The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

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<Mop=<Qon

<moq=<pon

are vertically opposite angle..

The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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Answer:

5,000.

¡Espero que ayude!

Step-by-step explanation:

Answer: $33.28

Step-by-step explanation: 41.60x .20 = 8.32

41.60 - 8.32 = 33.28