. A triangle has one angle measuring 3x degrees. A second angle measures 2x+20 degrees and the third angle measures 4x-20 degrees. What is the value of x

Answer:

the answer is -33.28

Step-by-step explanation:

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          [tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        [tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]

Looking at this integral we see that the interval is between [tex]0 \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       [tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]

Looking at this integral we see that the interval is between [tex]-\infty \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        [tex]\int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx[/tex]

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

Answer:

8 + 16x

Step-by-step explanation:

Answer:

477

Step-by-step explanation:

I hope this helps!

Answer:

B. 2/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

B. 2/25

Answer:

D

Step-by-step explanation:

Answer:

2.83 inches

Step-by-step explanation:

Let y equal the length of the drawing in inches. Use a proportion to solve for the missing length.

(2/5) (-5/7)

To simplify the equation

Step 1:

[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]

[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]

Step 2:

[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]

Step 3:

[tex] \blue{=\dfrac{ - 2}{7} }[/tex]

Step 4:

[tex]\blue{=−0.28571✓}[/tex]

With regards!

★Dull Star★

Answer:

Divide by P

Step-by-step explanation:

i = P x M

divide by P to get M alone, which means you have to do it to both sides

i/P = M

Answer:

There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.

Step-by-step explanation:

The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.

X follows a Binomial distribution with parameters n = 100 and p = 0.20.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 [tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]

Thus, a Normal approximation to binomial can be applied.

[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]

Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:

[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]

                   [tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]

Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.

c.) 1/2³ i got it right on assignment

Answer: bonds/safety/income based on an interest rate ​

Step-by-step explanation:

:)

Answer:

If x is in the nullspace of A, then Ax = 0. Consider the augmented matrix

[tex]\left[\begin{array}{ccc|c}1&-1&2&0\\0&1&-3&0\end{array}\right][/tex]

Add row 2 to row 1 to get this into reduced-row echelon form:

[tex]\left[\begin{array}{ccc|c}1&0&-1&0\\0&1&-3&0\end{array}\right][/tex]

Then x = [x₁, x₂, x₃]ᵀ such that

x₁ - x₃ = 0

x₂ - 3 x₃ = 0

If you let x₃ = 1, you end up with x₁ = 1 and x₂ = 3, so x = [1, 3, 1]ᵀ.

More generally, if you let x₃ = y, then any vector of the form [y, 3y, y]ᵀ would belong to the nullspace.

Check that this is orthogonal to the rows of A :

[1, -1, 2] • [1, 3, 1]ᵀ = 1•1 + (-1)•3 + 2•1 = 1 - 3 + 2 = 0

[0, 1, -3] • [1, 3, 1]ᵀ = 0•1 + 1•3 + (-3)•1 = 0 + 3 - 3 = 0

Answer:

no they are not

Step-by-step explanation:

9:7 / 2:1 = 4.61904762

Answer:

9:7 and 2:1 should not be equivalent.

Step-by-step explanation:

Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.

9:7 = [tex]\frac{9}{7}[/tex]

2:1 = [tex]\frac{2}{1}[/tex] = 2

As shown above, they do not equal the same thing, this also goes for their decimal form and so on.

Answer:

m∠1 = 58°

m∠2 = 58°

m∠3 = 72°

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180°. The vertical angles at Point Z are congruent and therefore their measures are equal.

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.

Answer:

d

Step-by-step explanation:

Answer: 8 / 12 = x

Step-by-step explanation:

:D Hope its right

Answer:

27

Step-by-step explanation:

23............hope this helps

Answer: You have 9 cakes for every 7 cakes. I hope this helps!

Explanation: You add up everything on both sides to get your answer!

Answer: yes and it is yes sisiwfereffffffffffffr

Step-by-step explanation:

[tex]9.16 = 585288 { \sqrt[5 < 63 = 33 \times \\ ]{?} }^{?} [/tex]

Answer: Its 0.75 hours :)

Answer:well i think it’s c

Step-by-step explanation:

I took the test

Answer:

c .

Step-by-step explanation:

Answer: r= 5/2 or r= 2 1/2

Step-by-step explanation:

Answer:

[tex] s = 7t [/tex]

Step-by-step explanation:

The table given shows that both variables are directly proportional to each other. That is, as s variable increases, y variable also increases.

Equation to represent this direct proportion would be:

[tex] s = kt [/tex],

where, k = constant of proportionality.

Let's find k from the table given.

Let's use any pair values of of s and t given in the table. Say, s = 21, t = 3

[tex] s = kt [/tex]

[tex] 21 = k3 [/tex]

Divide both sides by 3

[tex] \frac{21}{3} = \frac{k3}{3} [/tex]

[tex] 7 = k [/tex]

[tex] k = 7 [/tex]

Plug in k = 3 into [tex] s = kt [/tex]:

[tex] s = 7t [/tex]

Answer:

B

Step-by-step explanation:

Divide 7

Answer:

-6x+3

Step-by-step explanation:

Answer:

FV= $38,735.32

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Number of periods= 18*12= 216 months

The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.

Monthly interest rate= 0.06/12= 0.005

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^216) - 1]} / 0.005

FV= $38,735.32

Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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