Which fraction is the greatest (represents the largest quantity) ? a.1/3 b.3/8. c.2/5 d.1/2

Answer:

Step-by-step explanation:

This problem bothers on permutation

Given the letters LEARN

The total alphabets are 5 in numbers

Since there are no repeating letters, and there are 5 total letters, there are 5!=5*4*3*2*1=  120 ways to arrange them

Answer: 18, 10, 6, 4

The first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given the first term and the relationship between the a(n) and a(n+1) terms.

The first term:

a(1) = 18

The relationship:

a(n+1) = [2 + a(n)]/2

Plug n = 1

a(1+1) = [2 + a(1)]/2

a(2) = [2 + 18]/2

a(2) = 20/2

a(2) = 10

Plug n = 2 in the expression:

a(2+1) = [2 + a(2)]/2

a(3) = [2 + 10]/2

a(3) = 6

Plug n = 3 in the expression:

a(3+1) = [2 + a(3)]/2

a(3) = [2 + 6]/2

a(3) = 4

Thus, the first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

Answer:

Step-by-step explanation:

Given the parametric equation points x = 5t, y = 6t − 1  when t = 2

From x = 5t, t = x/5. Substituting t = x/5 into the second equation y = 6t − 1 we will have;

y = 6(x/5) - 1

y = 6/5 x - 1

The derivative of y with respect to x i.e dy/dx = 6/5 - 0. (Note that differential of any constant is zero).

dy/dx = 6/5

d²y/dx² = d/dx(dy/dx)

d²y/dx² = d/dx(6/5)

Since 6/5 is a constant, the derivative of 6/5 with respect to x will be zero.

d²y/dx² = 0.

Since the first derivative and the second derivative are both constant then, the slope m at the given parameter will be 6/5.

m = dy/dx = 6/5

The concavity is the value of the second derivative at the given value of the parameter.

The concavity d²y/dx² = 0.

Answer:

The answer is "Option C"

Step-by-step explanation:

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.36

For the alternative hypothesis,

P < 0.36

a) This is a left tailed test due to the inequality sign in the alternative hypothesis.

b)Considering the population proportion, probability of success, p = 0.36

q = probability of failure = 1 - p

q = 1 - 0.36 = 0.64

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 545

n = number of samples = 1673

P = 545/1673 = 0.33

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.33 - 0.36)/√(0.36 × 0.64)/1673 = - 2.56

c)We would determine the P-value from the normal distribution table. From the normal distribution table, the area below the test z score in the left tail 0.00523

P value = 0.00523

d) Since alpha, 0.05 > than the p value, 0.00523, then we would reject the null hypothesis.

e) The null hypothesis is the claim that 36​% of adults have heard of the new electronic reader.

Your answer is the second option, she should choose the rectangular tiles because the total cost will be $8 less.

To find this answer we need to first find the total cost for using square tiles, and the cost for using rectangular tiles, and compare them. We can do this by finding the area of each tile individually, calculating how many tiles we would need, and multiplying this by the cost for one tile:

Square tiles:

The area of one square tile is 1/2 × 1/2 = 1/4 ft. Therefore we need 40 ÷ 1/4 = 160 tiles. If each tile costs $0.45, this means the total cost will be $0.45 × 160 = $72

Rectangular tiles:

The area of one rectangular tile is 2 × 1/4 = 2/4 = 1/2 ft. Thus we need 40 ÷ 1/2 = 80 tiles. Each tile costs $0.80, so the total cost will be 80 × $0.80 = $64.

This shows us that the rectangular tiles will be cheaper by $8.

I hope this helps! Let me know if you have any questions :)

Answer:

B

Step-by-step explanation:

E2020 : )

Answer:

3.025

Step-by-step explanation:

3.4-1/2(0.75)

3.4-0.375

3.025

Answer:

a) 26.33 kg/d and 29.67 kg/d

b) 94.5%

Step-by-step explanation:

a. Find a 99% confidence interval for the true mean milk production.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575*\frac{2.25}{\sqrt{12}} = 1.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d

The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d

b. If the farms want the confidence interval to be no wider than ± 1.25 kg/d, what level of confidence would they need to use?

We need to find z initially, when M = 1.25.

[tex]M = z*\frac{2.25}{\sqrt{12}} = 1.67[/tex]

[tex]1.25 = z*\frac{2.25}{\sqrt{12}} = 1.67[/tex]

[tex]2.25z = 1.25\sqrt{12}[/tex]

[tex]z = \frac{1.25\sqrt{12}}{2.25}[/tex]

[tex]z = 1.92[/tex]

When [tex]z = 1.92[/tex], it has a pvalue of 0.9725.

1 - 2*(1 - 0.9725) = 0.945

So we should use a confidence level of 94.5%.

For the ODE

[tex]ty'+2y=\sin t[/tex]

multiply both sides by t so that the left side can be condensed into the derivative of a product:

[tex]t^2y'+2ty=t\sin t[/tex]

[tex]\implies(t^2y)'=t\sin t[/tex]

Integrate both sides with respect to t :

[tex]t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C[/tex]

Divide both sides by [tex]t^2[/tex] to solve for y :

[tex]y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}[/tex]

Now use the initial condition to solve for C :

[tex]y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}[/tex]

[tex]\implies9=\dfrac4{\pi^2}(1+C)[/tex]

[tex]\implies C=\dfrac{9\pi^2}4-1[/tex]

So the particular solution to the IVP is

[tex]y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}[/tex]

or

[tex]y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}[/tex]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Answer:

Hey there!

The product of these two fractions would equal 15.

Hope this helps :)

Answer:

Hi! The answer to your question is 7 11/14 or rounded will be 15

Step-by-step explanation:

So first let’s take the whole numbers which is 4 and 3 if we add them up we will get 7.

Now we do LCD (least common denominator)

4/14+7/14=11/14

So the answer is 7 11/14 or 15

(In mixed number the answer is 7 11/14 and in whole the answer is 15)

Hope this helps! :)

Answer:

See below.

Step-by-step explanation:

[tex]\frac{1+cos(\theta)}{sin(\theta)} +\frac{sin(\theta)}{1+cos(\theta)}=2csc(\theta)[/tex]

[tex]\frac{(1+cos(\theta))(1+cos(\theta))}{sin(\theta)((1+cos(\theta))} +\frac{(sin(\theta))(sin(\theta))}{(1+cos(\theta))(sin(\theta))}=2csc(\theta)[/tex]

[tex]\frac{(1+cos(\theta))(1+cos(\theta))+(sin(\theta))(sin(\theta))}{sin(\theta)((1+cos(\theta))}=2csc(\theta)[/tex]

[tex]\frac{(1+2cos(\theta)+cos^2(\theta)+sin^2(\theta))}{sin(\theta)(1+cos(\theta))} =2csc(\theta)[/tex]

Recall the identities:

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

[tex]\frac{1+2cos(\theta)+1}{sin(\theta)(1+cos(\theta))} =2csc(\theta)[/tex]

[tex]\frac{2+2cos(\theta)}{sin(\theta)(1+cos(\theta)}=2csc(\theta)[/tex]

[tex]\frac{2(1+cos(\theta))}{sin(\theta)(1+cos(\theta))} =2csc(\theta)[/tex]

[tex]\frac{2}{sin(\theta)} =2csc(\theta)[/tex]

[tex]2csc(\theta)=2csc(\theta)[/tex]

Answer:

Step-by-step explanation:

5x(x + 3) + 6(x + 3)

The final answer is

( 5x + 6 ) ( x + 3 )

Hope this helps you

Answer:

48.3 cm²

Step-by-step explanation:

Let A be the area of the yellow region

A= the area of the square - the area of the quarter square

A= 15²-(15²*π)/4= 48.28≈ 48.3 cm²

Answer:

x = -3/2

Step-by-step explanation:

0 = 4x² + 12x + 9

4x² + 12x + 9 = 0

(2x + 3)² = 0

2x + 3 = 0

2x = -3

x = -3/2

Hope this helps! :)

Answer:

a) [tex]f^{-1} (x) = \frac{1}{2} Cos^{-1} (\frac{x-1}{3} ) +\frac{3}{2}[/tex]

The inverse of given function

[tex]f^{-1} (x) = \frac{1}{2} Cos^{-1} (\frac{x-1}{3} ) +\frac{3}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given function f(x) = 3 cos (2 x -3) + 1

Let y = f(x) = 3 cos (2 x -3) + 1

     y = 3 cos (2 x -3) + 1

   ⇒ y - 1 =  3 cos (2 x -3)

   ⇒   [tex]cos ( 2 x - 3 ) =\frac{y -1}{3}[/tex]

  ⇒[tex]cos ^{-1} ( cos (2 x - 3)) = Cos^{-1} (\frac{y-1}{3} )[/tex]

We know that inverse trigonometric equations

cos⁻¹(cosθ) = θ

[tex]2 x - 3 = Cos^{-1} (\frac{y-1}{3} )[/tex]

[tex]2 x = Cos^{-1} (\frac{y-1}{3} ) +3[/tex]

[tex]x = \frac{1}{2} Cos^{-1} (\frac{y-1}{3} ) +\frac{3}{2}[/tex]

Step(ii):-

we know that   y= f(x)

The inverse of the given function

                         [tex]x = f^{-1} (y)[/tex]

                    [tex]f^{-1} (y) = \frac{1}{2} Cos^{-1} (\frac{y-1}{3} ) +\frac{3}{2}[/tex]

The inverse of given function in terms of 'x'

                     [tex]f^{-1} (x) = \frac{1}{2} Cos^{-1} (\frac{x-1}{3} ) +\frac{3}{2}[/tex]

conclusion:-

 The inverse of given function

[tex]f^{-1} (x) = \frac{1}{2} Cos^{-1} (\frac{x-1}{3} ) +\frac{3}{2}[/tex]

Answer:

$36 is the correct answer.

Step-by-step explanation:

Given that:

Adam has $15 of a certain type of rare coin.

$5 of this type of rare coins are equivalent to $12.

To find:

The total worth of $15 of rare coins = ?

If value of each coin is same.

Solution:

We are given that value of each coin is same.

So, We can simply use unitary method to find out the total worth of $15 of rare coins.

i.e. we first find out what is the worth of $1 of rare coins and then we find the worth of total required quantity.

Given that

$5 of rare coins are worthy of = $12

$1 of rare coins are worthy of = [tex]\frac{12}{5}[/tex]

$15 of rare coins are worthy of =

[tex]\\\dfrac{12}{5}\times 15\\\Rightarrow \dfrac{12\times 15}{5}\\\Rightarrow 12\times 3\\\Rightarrow \$36[/tex]

[tex]\therefore[/tex] $15 of rare coins are worth of $36.

━━━━━━━☆☆━━━━━━━

▹ Answer

(-1, 3)

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

Substitute

y - (2 - 2y) = 7

Solve

y = 3

Substitute

4x = 2 - 2 * 3

Solve

x = -1

Final Answer

(x, y) = (-1, 3)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

D: (-1,3)

Edg 2020

Answer:

f(n) = 74 + 11(n - 1)

For the 7th term

n = 7

f(7) = 74 + 11(7 - 1)

= 74 + 11(6)

= 74 + 66

For the 8th term

n = 8

f(8) = 74 + 11( 8 - 1)

= 74 + 11(7)

= 74 + 77

Hope this helps you

The value of the expression when simplified is -13

It is important to note:

PEDMAS is a mathematical acronym that representing;

Also, we should note that absolute value of a number is the non-negative value of that number. It s the value of a number irrespective of its direction from zero.

It is denoted with the symbol '| |'

Given the expression;

|2-5|-(12 ÷4-1)^2

Solve the bracket

|-3| - (12 /3)^2

Solve further

|-3| - 4^2

Find the absolute value

3 - 4^2

Find the square

3 - 16

-13

The value is - 13

Thus, the value of the expression when simplified is -13

Learn more about PEDMAS here:

https://brainly.com/question/345677

#SPJ1

Answer:

2x^4−11x^3+7x^2+5x−3

Step-by-step explanation:

The  ^  means exponent

Answer:

y=6x+18

Step-by-step explanation:

Answer:

y = 6x - 30

Step-by-step explanation:

The slope is 6.

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

y = 6x + b

The point is given (4, -6)

                               (x , y)

Put x as 4, y as -6.

-6 = 6(4) + b

-6 = 24 + b

-6 - 24 = b

-30 = b

The y-intercept is -30.

The equation of the line is y = 6x - 30.

u/4 - 4 = -20

Add 4 to both sides:

u/4 = -16

Multiply both sides by 4:

u = -64

Answer:

u=-64

Step-by-step explanation:

u/4 -4 = -20

First add 4 to both sides.

u/4=-16

Now multiply both sides by 4

u=-64

Answer:

Volume = 10a³ + 91a² + 54a - 792

Step-by-step explanation:

In the absence of answer choices, let's find the expression for the volume.

Given: Volume = length×width×height

V = lwh

length =(2a + 11)

width =(5a – 12)

height= (a + 6)

V =  (2a + 11)(5a – 12) (a + 6)

Expand the first two brackets using distributive property

V = (10a² -24a +55a - 132)(a + 6)

Collect like terms

V = (10a² + 31a -132)(a + 6)

Expand the two brackets using distributive property

V = 10a³ + 31a² - 132a + 60a² + 186a - 792

Collect like terms

V = 10a³ + 91a² + 54a - 792

The expression that represents the volume of the box = 10a³ + 91a² + 54a - 792

Answer:

Volume = 10a³ + 91a² + 54a - 792

Step-by-step explanation:

Answer:

2317.44

Step-by-step explanation:

Solution for What is 408 percent of 568:

408 percent *568 =

(408:100)*568 =

(408*568):100 =

231744:100 = 2317.44

Answer:

2317.44

Step-by-step explanation:

Answer:

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

A researcher wants to study the average miles run per day for marathon runners is 25

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 36

Given mean of the sample x⁻ = 22.8 miles

Given mean of the Population 'μ' = 25

Given standard deviation of the Population 'σ' = 10

Null hypothesis:-H₀: μ = 25

Alternative Hypothesis:H₁:μ ≠ 25

Level of significance  = 3 % or 97%

The critical value  Z₀.₉₇ = 1.881

Step(ii):-

Test statistic

           [tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

          [tex]Z = \frac{22.8 - 25}{\frac{10}{\sqrt{36} } }[/tex]

          Z = -1.325

       |Z| = |-1.325| = 1.325

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

conclusion:-

A researcher wants to study the average miles run per day for marathon runners is 25

Answer:

Step-by-step explanation:

From the question, a water glass can hold 2/9 of a litre of water, to know the number of glasses of water that can be filled with a 3-litres bottle, the following steps are crucial;

1 water of glass = 2/9 litre of water

x = 3 litre of water

cross multiplying;

2/9 * x = 3*1

2x/9 = 3

2x = 27

Dividing both sides by 2;

2x/2 = 27/2

x = 13 1/2

This means 13 1/2 glasses of water can be filled with a 3-litre bottle.

Answer:

Step-by-step explanation:

The question is incorrect. Here is the correct question.

Verify the identity sin²t / cos t = sect - cost

Given the identity sin²t / cos t = sect - cost, to verify means we are to check if both sides are equivalent. To do that we are going to start the proof from any sides of the equation and solve until we get to the function at the opposite side.

Starting with the left hand equation (LHS)

sin²t / cos t ...1

From trigonometry identity,  sin²t+ cos²t = 1

sin²t = 1- cos²t ... 2

Substituting eqn 2 into 1 we have:

= 1- cos²t/cost

= 1/cost -  cos²t/cost

= 1/cost - cost

Also from trig. identity, 1/cost = sect

On replacing this identity in the resulting equation we will have;

= sect - cost (which is equivalent to the RHS)

This shows that sin²t / cos t = sect - cost (Identity Proved!)

Divide the amount off the price by the percentage off:

1.05 / 0.15 = 7

The original price is $7.00

Answer:

(4, -2)

Step-by-step explanation:

To find the midpoint of two points you have to take the average of those two points. So, I can do (1+8)/2, which is 4, to find the midpoint of the x coordinates. I can then do (-9+5)/2, which is -2 to find the midpoint of the y coordinates.