Solve: sin(x + pi/2) =1/2 for [3pi/2, 2pi]

The zeroes of any function are where the function touches or passes through the x-axis.

To find these zeroes, we can factor, and set each part equal to 0.

y = (x - 4)(x^2 - 12x + 36)

It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.

y = (x - 4)(x - 6)(x - 6)

Finally, set each part equal to 0!

x - 4 = 0

x = 4

x - 6 = 0

x = 6

x - 6 = 0

x = 6

Therefore, the zeroes of the function are 4 and 6, option B.

Hope this helps!! :)

Answer: the value of the expression is 28

Step-by-step explanation:

we simply substitute the letters in for the numbers.

5(3)(3) - 7(3) + (4)

we just multiply all of those together.

45 - 21 + 4

answer: 28

Answer:

the value of the expression is 28

Step-by-step explanation:

since we have already been given the values of a, b and c ,we must substitute them in the expression like this:

5(3)(3)-7(3)+4

28

Answer:

Step-by-step explanation:

The answer is (C)

<AEB is congruent to <BEC

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

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Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Answer:

Equation: (6x2)x5=?

Step-by-step explanation:

Well, lets see: (x times y), which is (6x2)x5=?

Equation: (6x2)x5=?

I think?

Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.

Step-by-step explanation:

Answer:

W<Y<Z

Step-by-step explanation:

the side WZ is longer than side ZY, so the angle W is smaller.

Answer:

$14670

Step-by-step explanation:

Selling price of the house = $326000

Commission rate of the agency = 4.5%

Commission amount earned by the agency = 326000 × 0.045

                                                                        = $14670

Commission rate of the agent = 20% of commission earned by the agency

= [tex]\frac{20}{100}\times 14670[/tex]

= $2934

Therefore, agency made $14670 on the house.

Answer:

364 calories

Step-by-step explanation:

1/2 of 240=120 calories

fruit platter =210 calories

1/3 of 102=34

120+210+34=364 calories

The amount of calories she consumes during breakfast is 364 calories.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories.

The total amount of calories consumed in breakfast will be:-

1/2 of 240=120 calories

fruit platter =210 calories

1/3 of 102=34

Total calories = 120+210+34=364 calories

Therefore, the amount of calories she consumes during breakfast is 364 calories.

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Explanation:

Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.

Let a = x, b = 18, c = 30.

Apply the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 900-324

x^2 = 576

x = sqrt(576)

x = 24

The top of the ladder reaches 24 feet high.

Answer:

87.9? maybe i am not sure

Step-by-step explanation:

Step-by-step explanation:

Circumference of circle = π2r = 14πft.

Angle subtended by arc

= 2π * (Arc length/Circumference)

= 2π * (4ft/14πft) = 0.18π. (2d.p.)

Area of sector = 0.5r²(Angle subtended by arc)

= 0.5 * (7)² * (0.18π)

= 14.00ft². (2d.p.)

Answer:

The correct answer is:

AA

△

EGH

~△

EFD

Step-by-step explanation:

I got it incorrect the first time. the person above or below me is wrong.

Answer:

picture 1 : 360 cm2

picture 2:  sorry I don't really know

picture 3: 11.25 cm2

Step-by-step explanation:

hope this helps

Answer:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.

Step-by-step explanation:

Meaning of a confidence interval:

A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.

In this question:

Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:

From the concept of confidence interval above, the correct answer is:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.

Answer:

There are 62 acres of old growth trees

Step-by-step explanation:

You would need to find 0.2% of 31,000

Lets say 0.2% of 31,000 is Y

Y = 0.2/100

Y = 0.2 ÷ 100 x 31,000

Y= 62

Answer:

You just have to subtract 1.6 so the missing number is 22.5

Step-by-step explanation:

25.7 ,24.1, 22.5 , 20.9 , 19.3 , 17.7 , 16.1

Answer:

10 4/6 -> 10 2/3

Step-by-step explanation:

simpliest form is the second option :)

Answer: 220:4 or 220 to 4

Step-by-step explanation:

Answer:220:4

Step-by-step explanation:

Answer:

$37

Step-by-step explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37

Answer:

Sine

I think

Step-by-step explanation:

The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

18

Step-by-step explanation:

Equation

2x=36

Solve

x=18

Answer:

720 jelly donuts

hope it helps pls mark brainliest

Answer:

You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.

Step-by-step explanation:

Answer:

inverse 1/5 = (1/5)^-1

=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5

inverse 2x-1/5 = (2x-1/5)^-1

=1/(2x-1/5)¹ =1/(2x-1/5)

=1/(10x/5 - 1/5) = 1/(10x-1 / 5)

=1(5 / 10x-1) = 5 / 10x-1

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

Answer:

950x7%=66.5

950+66.5=1016.5 with tax

not sure but here you go

Answer:

is 66.5

?/950= 7/100 7x950=6650 6650 división by 100=66.5