PLZ HELP
In which of the following intervals does the trigonometric inequality sec(x)

Step-by-step explanation:

Using Binomial Expansion,

(x + y)³

= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.

Therefore the coefficient of xy² is 3C2 = 3.

Answer:

The coefficient of the xy² term is 3.

For your question about xy⁵, the coefficient is 6

And for the x²y² question, it is also 6

Step-by-step explanation:

We can simply expand the expression to find the answer:

(x + y)³

= (x + y)(x + y)(x + y)

= (x + y)(x² + 2xy + y²)

= x³ + 2x²y + xy² + x²y + 2xy² + y³

= x³ + 3x²y + 3xy² + y³

So the term term containing xy² has a coefficient of 3

Now, there's actually a simple way to do this, and that's using Pascal's triangle.  If you're not familiar with it, here's a quick representation of the first few lines:

0                                    1

1                                  1     1

2                              1     2     1

3                           1     3     3     1

4                       1      4     6     4     1

5                    1      5    10    10    5    1

6                1      6     15   20   15    6    1

7             1      7     21   35   35   21   7    1

8         1      8     28   56  70   56   28  8   1

You'll notice that each number is simply the sum of the two numbers above it; below 4 and 6 wes see 10, below 20 and 15 is 35, etc.

This is very useful in this case, as the you may notice that the solution to each of the questions asked can be answered by this triangle.  For instance, when we solved (x + y)³, the coefficients of the terms were  1, 3, 3, and 1.  For a perfect square, it's 1, 2 and 1, and so on.  So to get the answers to your questions, you need only look at this triangle.

For example, want the the coefficent of the fourth term in the expansion of (x + y)⁷, it's easy, just look at the seventh row, and look for the fourth number, which would be 35.

But as we're given the x and y powers, but not the position of the term, we need to work that out as well.  Thankfully there's an easy trick to that.  The exponents will always be like this

[tex]x^{n}y^0 + x^{n - 1}y^1 + x^{n - 2}y^2 + ..... + x^2y^{n - 2} + x^1y^{n - 1} + x^0y^{n}[/tex]

where n is the number we're raising the binomial to.

We could put together an equation to solve this, but instead of going through a whole lesson, I'll just update the answer at the top.

Answer:

x = 17

Step-by-step explanation:

[tex]\\8x - 27 = 3x+58\\5x=85\\x=17[/tex]

Answer:

27

Step-by-step explanation:

40-4=26

26/2 = 13

13+14=27

Answer:

26 dogs

Step-by-step explanation:

Answer:

Retail price = $5.20

Percentage of mark up price = 30%

Step-by-step explanation:

Company sells $4.00 each wholesale.

Now the local store which is the retailer has a markup of $1.20.

This means that the retail price is;

Retail price = wholesale price + mark up = $4.00 + $1.20

Retail price = $5.20

To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.

Thus;

Percentage of Markup is;

1.2/4 × 100% = 30%

Answer:

[tex]DM=12[/tex]

Step-by-step explanation:

(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].

Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].

Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:

[tex]Area = CB*DM[/tex]

[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)

[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)

[tex]12=DM[/tex] (Simplify)

[tex]DM=12[/tex] (Symmetric Property of Equality)

Hope this helps!

Answer:

The ranges of value of k are values larger than 0 and lower than 16.

Step-by-step explanation:

Suppose we have a second order polynomial in the following format:

[tex]ax^2 + bx + c = 0, a \neq 0[/tex]

It will have no roots if:

[tex]\Delta = b^2 - 4ac < 0[/tex]

In this question, we have that:

[tex]hx^2 + hx - 4 = 0[/tex]

So, the coefficients are:

[tex]a = h, b = h, c = -4[/tex]

Then

[tex]\Delta < 0[/tex]

[tex]b^2 - 4ac < 0[/tex]

[tex]h^2 - 16h < 0[/tex]

A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.

The roots are:

[tex]h^2 - 16h = 0[/tex]

[tex]h(h - 16) = 0[/tex]

So

h = 0 or h = 16.

The ranes of value of k are values larger than 0 and lower than 16.

Answer:

1/30

Step-by-step explanation:

let, vanilla be the first ice cream.

hence, the probability of choosing vanila= 1/6

let, chocolate be the second ice cream.

hence, the probability of choosing chocolate=1/5

hence, the probability that the next customer's sundae will have vanilla and chocolate (in either order)= (1/6)×(1/5)

=1/30

Answer:

P(x ≥ 30) = 0.3859

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 29, \sigma = 3.4[/tex]

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 29}{3.4}[/tex]

[tex]Z = 0.29[/tex]

[tex]Z = 0.29[/tex] has a pvalue of 0.6141

1 - 0.6141 = 0.3859

So

P(x ≥ 30) = 0.3859

Answer:

Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.

88

Step-by-step explanation:

You only need the area of one side of this shape to find the total area.

((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.

Answer:

0.3

Step-by-step explanation:

0.26?

0.3

9514 1404 393

Answer:

  C)  (x, y) ⇒ (x -6, y)

Step-by-step explanation:

Each image point is 6 units left of the corresponding pre-image point. That is, its x-coordinate is reduced by 6. The appropriate choice is shown below.

Answer:

17° and 73°

Step-by-step explanation:

For two complementary angles, the sum of angles is equal to 90 degrees.

Let other angles = x

First angle = 5+4x ...(1)

ATQ,

5+4x+x=90 ...(2)

Equation (1) and (2) shows the equations for the given problems.

5+5x=90

5x = 85

x = 17°

Other angle = 17

First angle = 5+4x

= 5+4(17)

= 73°

So, the other two angles are 17° and 73° respectively.

Answer:

$2,989.12

Step-by-step explanation:

The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.

The deduction from the gross income is almost 20.29%.

The gross income is multiplied by 20.29% and then the answer is deducted from the gross income which gives monthly net pay as a result

$3,750 * 20.29% = $760.875

$3,750 - $760.875 = $2,989.12

Your monthly net pay is $2,989.12

Answer:

11/12

Step-by-step explanation:

Answer:

The village market is better than Sam's Club

Step-by-step explanation:

If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.

Answer:

There was 20 questions on the test.

She got 3 wrong.

Step-by-step explanation:

[tex]\frac{85}{100} = \frac{17}{20}[/tex]

20 - 17 = 3

There was 20 questions on the test.

She got 3 wrong.

Answer:

4 hours

Step-by-step explanation

4 times 5+20

50+20+70

10 times 4 +40

30+40+70

Answer:

38.465

Step-by-step explanation:

You use your t table (Formula is pie × Radius × Radius) so its 3.14 × 3.5 × 3.5

Answer:

what fraction ??

Step-by-step explanation:

I don't see the problem

Answer:

Total cost= $141.75

Step-by-step explanation:

Giving the following information:

Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

First, we need to determine the unitary price of each and choose the lowest one:

Bernie= 56.7/6= $9.45

Greg= 99.7/10= $9.7

Stan= 79.68/8= $9.96

The lowest price is $9.45.

Now, the total cost of 15 DVDs:

Total cost= 9.45*15

Total cost= $141.75

Answer:

149.25

Step-by-step explanation:

Answer: 873.76

First find 1% of 2302 which will be 2302/100=23.02

to find 43% of 2302 multiply 1% of 2302 with 43

43*23.02 = 873.76

Answer:

803.53

Step-by-step explanation:

Cost of car insurance = 73 traffic tickets + 146.53

y = (73 × 9) + 146.53

y = 657 + 146.53

y = 803.53

Car insurance costs 803.53

Answer:

12 pieces

Step-by-step explanation:

Answer:

D: 50% on car payment and college savings

Step-by-step explanation:

225+375 = 600

50% of 1200 is 600

Answer:

DB = 26

Step-by-step explanation:

Remember:

☆The equation in finding the value of x would be 3x - 2 = 2x + 3.

☆Let's solve the equation.

[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]

☆Now that we found the value of x, we are going to plug in for AE and EC.

[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]

☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]

The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.

Answer:

9 hours im not really good at this but i hope i did my best ^.^ :)

It would take 31.5 hours for Dan to complete the same job.

Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W).

Work Done = Time Taken × Rate of Work.

Rate of Work = 1 / Time Taken.

Time Taken = 1 / Rate of Work.

According to the question

Dan and Joan were able to clean the attic in 7 hours together

i.e

Rate of Dan = D

Rate of Joan = J

now,

Rate of Work = 1 / Time Taken.

D + J = [tex]\frac{1}{7}[/tex]

It takes Joan 9 hours to complete the same job alone

i.e

J = [tex]\frac{1}{9}[/tex]

Rate of Dan :

D + J = [tex]\frac{1}{7}[/tex]

D +  [tex]\frac{1}{9}[/tex] =  [tex]\frac{1}{7}[/tex]

D =   [tex]\frac{1}{7}[/tex] -  [tex]\frac{1}{9}[/tex]

D = [tex]\frac{2}{63}[/tex]

Therefore , Time taken by Dan  to complete the same job

As,

Time Taken = 1 / Rate of Work.  

Time taken by Dan = [tex]\frac{63}{2}[/tex]

                                 = 31.5 hr

Hence,  It would take 31.5 hours for Dan to complete the same job.

To know more about work and time relationship here:

https://brainly.com/question/3854047

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