Cos x if sin x cot x =5

Answer:

(1, 9/2) or (1, 4.5)

Step-by-step explanation:

To find the midpoint, take the x1 and x2 values and divide it by 2, same for the y values.

(4-2)/2  and (6 + 3)/2

1 and 4.5

(1, 4.5)

The surface area of the new figure is,

⇒ 1550 cm²

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

The surface area of a figure is 62cm².

And, the dimensions are multiplied by 5.

Here, The surface area of a figure is 62cm².

After multiply by 5, surface area of the new figure is,

⇒ 5² × 65

⇒ 25 × 65

⇒ 1550

Thus, The surface area of the new figure is,

⇒ 1550 cm²

Learn more about multiplication visit:

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Answer:

[tex] = 3053.6[/tex]

Answer D is correct

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \pi \times {9}^{3} \\

≈3053.62806 [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is of option D

Look at the attached picture

hope it will help you

Good luck on your assignment

Answer:

a) (1,3)

b) x=1

Step-by-step explanation:

The general form of a parabola in vertex form is f(x)=a(x-h)^2+k, where h is the x coordinate of the vertex, and k is the y coordinate, while a indicates how "squished" the graph is, or how quickly it grows in relation to the parent graph. In this case, h is shown to be 1, and k is 3, meaning that the vertex is at (1,3). The axis of symmetry , for a vertical parabola, just runs vertically through the vertex, meaning that in this case it is at x=1. Hope this helps!

Answer:

(1,3) and y-axis

Step-by-step explanation:

The vertex is the value of x at maximum or minimum point

At maximum point

dy/ dx = 0;

dy/dx = 4(x-1)= 0

=>x= 1 and is the vertex

Y when x = 1; we substitute x=1 in the original equation.

f(x) =y =2(x-1)^2+3

y = 2(1-1)^2 +3

y = 0 + 3= 3

The vertex is (1,3)

2.

A symmetrical equation is given by

b^2 = 4ac

Looking at the equation above x has an order of 2 meaning a possibility of cutting the x axis on two values of x

Hence the axis of symmetry is the y-axis

Assuming this was the expression; the axis of rotation would have been the x-axis.

f(y)=2(y-1)^2+3

Answer:

8 • (5x - 1)

Step-by-step explanation:

Step  1  :  See below

Step  2  : See below

Pulling out like terms/ factors

8x - 4  =   4 • (2x - 1)

Equation at the end of step  2  :

20 • (2x - 1) +  12

Step  3  :  See below

Step  4  : See below

Pull out like factors:

40x - 8  =   8 • (5x - 1)

Answer:  8 • (5x - 1)

Hope this helps.

Answer:

i think its B

Step-by-step explanation:

i think itd most accurate t b

Answer:

99cm²

Step-by-step explanation:

Area of a Triangle: [tex]A=\frac{1}{2} bh[/tex]

B- base

H- height

We are given a base of 18 cm and a height of 11cm.

[tex]A=\frac{1}{2} 18*11\\\\A=\frac{1}{2} 198\\\\\boxed{A=99}[/tex]

The area of the triangle should be 99cm².

Answer:

k= -6.48 approx

Step-by-step explanation:

(5k+35) -8=12

opening bracket

-45k-280=12

-45k=12+280

-45k=292

k=-6.48 approx

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...

Answer:

The area of the riders field of view is 987.5 square yards.

Step-by-step explanation:

The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.

The semi-circle of 25 yards of radius has an area of:

[tex]S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5[/tex]

The area of the riders field of view is 987.5 square yards.

Answer:

m<10 = 92°

m<5 = 106° (I think because of correspondence)

m<8 =92°

m<14 = 74°

m<3 = 106°

<1 and <4 are corresponding angles

<2 and <3 are same side interior angles

<3 and <4 are vertical angles

<4 a d <6 are Alt. Interior Angles

Answer:

Simple interest = $600

Step-by-step explanation:

In this word problem, we will need to find the simple interest.

Formula:

I = prt or I = p x r x t

Simple interest: final answer

I = (2,000)(.02)(15) multiply.

I = 600

Simple interest: $600

Answer:

5n+20

Step-by-step explanation:

5(n+4)

Distribute

5*n+5*4

5n+20

Answer:

86.5 m

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string).  CB is the perpendicular (height of the kite ) from C on the ground.  BC is the horizontal.

Sin 60° = CB/AC = √3/2

                height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m

Answer:

Check the explanation

Step-by-step explanation:

The distribution is right skewed but the sample size is large so we can use t - test here. The statistical software output for this problem is:

One sample T hypothesis test:

μ : Mean of population

[tex]H_0[/tex] : μ = 27

[tex]H_A[/tex] : μ < 27

Hypothesis test results:

Mean         Sample Mean          Std. Err.        DF         T-Stat         P-value

μ                         26.8            0.29014496     653   -0.68931061   0.2454

Since p - value > 0.05, do not reject .

Hence,

With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.

Answer:

10 meters because it can't be 1 or 10 cenemiters because that's way too short and 1 meter i ls only 12 inches so thats also too short so it has to be 10 meters

Answer:

B

Step-by-step explanation:

A function has at most one y value for every x value. This means that for every vertical line, there can be at most one intersection.

This example clearly doesn't satisfy this requirement.

Answer:

a

Step-by-step explanation:

Answer:

Arc = 20 / 3°

Step-by-step explanation:

Say the angle is = x

The sector = πr^2 / x

Sector = 100π / x

15π = 100π / x

15πx = 100π

x = 20 / 3

Arc is = to the central angle

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let [tex]\mu[/tex] = mean power consumption for microwave ovens.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

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 power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, the test statistics  =  [tex]\frac{257.3-250}{\frac{15}{\sqrt{20} } }[/tex]

                                      =  2.176

The value of z test statistics is 2.176.

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

Since our test statistic is more than the critical value of t as 2.176 > 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 a compact microwave oven consumes a mean of more than 250 W.

Answer:

$104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Step-by-step explanation:

We are given that Josie owes $21000 in student loans.

Let x be principal at 3% rate of interest

Time = 1 year

Formula:[tex]A=P(1+r)^t[/tex]

[tex]A=x(1+0.03)^1[/tex]

A=1.03x

Interest = Amount - Principal

Interest = 1.03x-x=0.03x

So, (21000-x) is the principal at 4.4% rate of interest

Formula:[tex]A=P(1+r)^t[/tex]

[tex]A=(21000-x)(1+\frac{4.4}{100})^1[/tex]

A=21924-1.044x

Interest = 21924-1.044x-21000-x=924-2.044x

The total interest she owes for one year was $714.00

So, 0.03x+924-2.044x=714

x=104.27

So, $104.27 is the amount at 3%

The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73

Hence $104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Answer:

157 cm

Step-by-step explanation:

El valor que se necesita para el borde del mantel es equivalente al perímetro del mantel.

Para un circulo de 50 cm de radio, el perímetro es:

[tex]P=\pi r=3.14\cdot 50=157[/tex]

Se necesitan 157 cm de encaje.

The value needed for the edge of the tablecloth is equivalent to the perimeter of the tablecloth.

For a circle with a radius of 50 cm, the perimeter is:

[tex]P=\pi r=3.14\cdot 50=157[/tex]

157 cm of lace are required.

Answer:

2 1/4 ,2 1/2, 2 3/4, 3 1/4 ,3 1/2, 3 3/4, 4 1/4 , 4 1/2, 4 3/4

Step-by-step explanation:

These are the mixed numbers.

Answer:

A). Using dependent samples with paired data is generally better than using two independent samples.

Explanation:

Observational studies is the research/study design in which the investigator observes the samples collected from the population in their natural pattern to make valid inferences without any kind of manipulation or interference. While the experimental studies involves a controlled or manipulated variable in order to check its impact over the independent variable and the relation between the two.

As per the question, the design principle that is emphasized for both the studies would be 'employing dependent samples along with the paired data is usually effective than employing two independent samples' as the former concerns one set of elements that makes them 'self-evident'(as the subjects of one sample can be employed to determine the subjects of other). Thus, option A is the correct answer.

Answer:

D = 22 yards

Step-by-step explanation:

D = C ÷ π

D = 69.1 ÷ 3.14

D = 22.006

D = 22 yards

Step-by-step explanation:

diameter = 2 * radius

= 2 * 44

= 88 cm (ANS)

Answer:

The diameter will be 88cm (Not a guess :P)

Step-by-step explanation:

So since we know that the radius is half the diameter we simply multiply 44*2 to get 88 as our diameter

Not hard, right? :P

Hope this helped! :)

Brainiest is most appreciated if possible

Sorry for any mistake that I made in advance

Answer:

Correct answers are Marci's monthly payment: $227.30, and total finance charge: $455.20.

Step-by-step explanation:

24 months (2 years)

$45.46 x 5 = $227.30

$227.30 x 24 = $5,455.20

$5,455.20 - $5,000 = $455.20

Answer:

SA=571.77

Step-by-step explanation:

SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986

pls mark brainliest

Answer:

Step-by-step explanation:

The hypotheses are:

Null Hypothesis

[tex]H_0 : \muafter = 0[/tex]

Alternative Hypothesis

[tex]Ha: \mu\neq 0[/tex]

Since the t-statistic score is greater than the critical t-score, so the decision is to reject the null hypothesis.

See image for detailed solution

Answer:

Step-by-step explanation:

Corresponding test scores of students before and after they completed a formal logic course.

The data for the test are the differences between the test scores.

μd = the​ score before minus score after

Score before score after diff

74 73 1

83 77 6

75 70 5

88 77 11

84 74 10

63 67 - 4

93 95 - 2

84 83 1

91 84 7

77 75 2

Sample mean, xd

= (1 + 6 + 5 + 11 + 10 - 4 - 2 + 1 + 7 + 2)/10 = 3.7

xd = 3.7

Standard deviation = √(summation(x - mean)²/n

n = 10

Summation(x - mean)² = (1 - 3.7)^2 + (6 - 3.7)^2 + (5 - 3.7)^2+ (11 - 3.7)^2 + (10 - 3.7)^2 + (- 4 - 3.7)^2 + (-2 - 3.7)^2 + (1 - 3.7)^2 + (7 - 3.7)^2 + (2 - 3.7)^2 = 220.1

Standard deviation = √(220.1/10

sd = 4.69

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (3.7 - 0)/(4.69/√10)

t = 2.49

The test is a left tailed test. From the t distribution table, the t score corresponding to the significance level is 2.262

In order to reject the null hypothesis, the test statistic must be smaller than - 2.262 or greater than 2.262

Since - 2.49 < - 2.262 and 2.49 > 2.262, we would reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the test scores before and after, the mean difference is lesser than zero

Answer:

1. P(all are correct) =0.00000256

2. P ( all are incorrect) =  0.1677

3. P( at least one correct ) = 0.8310

c. P(r ≥ 1) = 0.8322

d. P ( half the questions are incorrect) = 0.046

Step-by-step explanation:

Let A be the event that he will choose the correct answer and there is only one correct answer out of 5 choices  so the probability of A = P(A)= 1/5

As there are 8 number of questions so n= 8

Applying the binomial theorem

P(all are correct) = ⁸C₈ (1/5)⁸ (4/5)°= 1* 1/5*5*5*5*5*5*5*5 (1)

a. P(all are correct) = 1/625 *625= 1/390625= 0.00000256

b. P ( all are incorrect) =  ⁸C₀ (1/5)° (4/5)⁸= 1* 4*4*4*4*4*4*4*4/5*5*5*5*5*5*5*5 (1)=  256*256/625 *625= 65336/390625 = 0.1677

c. P( at least one correct ) = P (one Correct) + P( 2 Correct) + P (3 correct) + P( 4 correct) + P ( 5 correct) + P ( 6  correct) + P ( 7  correct) + P ( 8  correct)

P( at least one correct ) = 0.00008192+  0.00114688+ 0.00917504 + 0.0458752 + 0.14680064 + 0.29360 +  0.335544 +0.00000256

P( at least one correct ) = 0.8310

P (one Correct) = ⁸C₇ (1/5)⁷ (4/5)= 8* 1/5*5*5*5*5*5*5  * 4/5 = 0.00008192

P( 2 Correct) = ⁸C₆ (1/5)⁶ (4/5)²= 28 * 1/5*5*5*5*5*5*  16/25=  0.00114688

P (3 correct)=⁸C5₅ (1/5)⁵ (4/5) ³= 56* 1/5*5*5*5*5*   64/125 = 0.00917504

P( 4 correct) = ⁸C₄(1/5)⁴ (4/5)⁴= 70* 1/5*5*5*5    * 256/625 = 0.0458752

P ( 5 correct) = ⁸C₃ (1/5)³ (4/5)⁵= 56 * 1/5*5*5    *1024/ 3125 = 0.14680064

P ( 6  correct)= ⁸C₂ (1/5)² (4/5) ⁶= 28* 1/5*5    * 4096 /15625= 0.29360

P ( 7  correct) = ⁸C₁ (1/5) (4/5)⁷=  8* 1/5   * 16384/78125 = 0.335544

P(r ≥ 1) = 1 − P(r = 0).

               =1- 0.1 677 = 0.8322

d. P ( half the questions are incorrect) =⁸C₄ (1/5)⁴ (4/5)⁴

= 70 * 1*1*1*1/ 5*5*5*5* 4*4*4*4/5*5*5*5 =  70 * 1/ 625* 256/625 = 0.0458= 0.046