Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.
r = 5 sinθ and r = 5 cosθ

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day

Answer:

idk

Step-by-step explanation:

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that college students watch fewer movies a month than high school students.

Answer:

  point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

  y -k = m(x -h)

Comparing this to your given equation ...

  y -2 = (-2/3)(x -(-1))

we see that ...

  k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

Answer:

point (-1,2)

Step-by-step explanation:

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

I will prefer the cone having volume 21.21 cubic inches.

Step-by-step explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

         V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]

           = [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]

           = 7.069

           ≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

Answer:

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

Find the value of the expression when p equals 9.

So to solve the expression: 6p + 5

We have to plug in the 9 for p

6p + 5 = ?

6(9) + 5 = ?

Then, we multiply solve.

6 x 9 = 54

54 + 5 = 59

Thus, the final value of the expression is 59.

The value of the expression when p is equal to 9 is 59.

Given that,

Expression; [tex]\rm 6p+5[/tex]

We have to determine,

The value of p when p is equal to 9?

According to the question,

Expression; [tex]\rm 6p+5[/tex]

To determine the value of p the calculation must be done in following steps following all the steps given below.

                   [tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]

                    [tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]

Hence, The required value of the expression when p is equal to 9 is 59.

For more details refer to the link given below.

https://brainly.com/question/18334317

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

Answer:

Step-by-step explanation:

The given function is

[tex]f(c)=7c[/tex]

Where [tex]c[/tex] represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

(Notice that we specify that the independent valur can only use whole positive numbers only).

Answer:

Step-by-step explanation:

Put the given number into the formulas and do the arithmetic:

  Volume = s³ = (4 in)³ = 64 in³

  Area = 6s² = 6(4 in)² = 96 in²

Answer:

Yes

Step-by-step explanation:

There are total 10+4 = 14 cards

P(higher than 5) = 10/14 = 5/7

P(lower than 5) = 4/14 = 2/7

There's a higher chance of the card being greater than 5

Step-by-step explanation:

Step 1:  Determine if Gareth is correct

Total number of cards → 10 + 4 → 14

Probability of choosing lower → 4/14 → 2/7

Probability of choosing higher → 10/14 → 5/7

Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.

Answer:  Yes

Answer:

BC or n=72

Step-by-step explanation:

ABC≈DEF

[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]

[tex]\frac{54}{9} =\frac{n}{12}[/tex]

[tex]9n=54*12[/tex]

[tex]9n=648[/tex]  (then divide both sides by 9.)

[tex]n=72[/tex]

Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

Answer:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Step-by-step explanation:

x% confidence interval between a and b.

Interpretation: We are x% sure that the true value is between a and b.

In this question:

95% confidence level

30% with a margin of error of 2.2%.

So

30 - 2.2 = 27.8%

30 + 2.2 = 32.2%

So the correct answer is:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

Answer:  2.3

Step-by-step explanation:

9.2 is divided  by 4 is 2.3 so the last quarter is 2.3

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Answer:

[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]

Thus,  asymptote has the slope of

[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]

4.  The equation of the hyperbola is

[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

Answer: c

Step-by-step explanation: edge 23

Answer:

it’s a

Step-by-step explanation:

Answer:

First answer is -16, second answer is 10

Step-by-step explanation:

Just did it on Edge

Answer:

0.4

Step-by-step explanation:

Round 0.600 - 0.200 = 0.4

Answer:

4 1/2

Step-by-step explanation:

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option