Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 36 inches and its width is 15 inches. Round your final answer to one decimal place.

Answer:

A) A = {RRR, LLL, SSS}

B) B = {LRS. LSR, RLS, RSL, SLR, SRL}

C) C = {RRL, RRS, RSR, RLR, LRR, SRR}

D) D = {RRL, RRS, RSR, RLR, LRR, SRR. LLR, LLS, LSL, LRL, RLL, SLL, SSL, SSR, SLS, SRS, LSS, RSS}

E) D' ={RRR, LLL, SSS, LRS. LSR, RLS, RSL, SLR, SRL}

F) C ∪ D = {RRL, RRS, RSR, RLR, LRR, SRR. LLR, LLS, LSL, LRL, RLL, SLL, SSL, SSR, SLS, SRS, LSS, RSS}

G) C ∩ D = {RRL, RRS, RSR, RLR, LRR, SRR}

Step-by-step explanation:

A) All vehicles must go right, left or straight ahead (three possibilities):

A = {RRR, LLL, SSS}

B) One vehicle must go right, one must go left, and the remaining one must go straight ahead (six possibilities):

B = {LRS. LSR, RLS, RSL, SLR, SRL}

C) There are three ways that exactly two vehicles go right (1 and 3, 2 and 3, 1 and 2), there are then two options for the remaining vehicle (left and straight) for a total of six possibilities:

C = {RRL, RRS, RSR, RLR, LRR, SRR}

D) Follow the same reasoning from the previous item, but multiply the number of possibilities by 3 (for each direction in which both cars can go: right, left or straight):

D = {RRL, RRS, RSR, RLR, LRR, SRR. LLR, LLS, LSL, LRL, RLL, SLL, SSL, SSR, SLS, SRS, LSS, RSS}

E) D' is the set containing all possibilities not present in set D. D' is comprised by the possibilities of all vehicles going in the same direction, or each vehicle in a different direction:

D' ={RRR, LLL, SSS, LRS. LSR, RLS, RSL, SLR, SRL}

F) The outcomes in C ∪ D is the union of elements from set C and D (neglecting repeated values), which happens to be all values in set D.

C ∪ D = {RRL, RRS, RSR, RLR, LRR, SRR. LLR, LLS, LSL, LRL, RLL, SLL, SSL, SSR, SLS, SRS, LSS, RSS}

G) The outcomes in C ∩ D is the list of values present in both sets C and D, which happens to be all values in set C:

C ∩ D = {RRL, RRS, RSR, RLR, LRR, SRR}

Answer:

if m is supposed to be the equals (=) sign then x = 25

Step-by-step explanation:

45 = (2x-5)

+5         +5

50 = (2x)

÷2     ÷2

25 = x

Answer: 70

Step-by-step explanation:

Answer:

Yes, it's also true about the confidence interval method.

Step-by-step explanation:

The confidence interval includes all the null hypothesis values for the population mean that would be accepted by the hypothesis test at the significance level of 5%. Now, it means this assumes a two-sided alternative.

Now, when testing claims about

population​ proportions, the critical method and the​ P-value method are equivalent due to the fact that they always produce the same result. Similarly, a conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

So, Yes the confidence interval method and the​ P-value or critical methods will always lead to the same conclusion when the tested parameter is the standard deviation.

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

Answer:

A=0.25

B=0.35

C=1.05

Step-by-step explanation:

1. A+B=0.6

2. A+C=1.3

3. C=3B

2 subtract 1:

3 substituted:

Answer and Step-by-step explanation:

The rate of change of an area of a circle in respect to tis radius is given by:

ΔA / Δr = [tex]\frac{\pi(r_{1}^{2} - r_{2}^{2}) }{r_{1} - r_{2}}[/tex]

(i) 2 to 3:

ΔA / Δr = [tex]\frac{\pi(3^{2} - 2^{2}) }{3-2}[/tex] = 5π

(ii) 2 to 2.5

ΔA / Δr = [tex]\frac{\pi(2.5^{2} - 2^{2}) }{2.5-2}[/tex] = 4.5π

(iii) 2 to 2.1

ΔA / Δr = [tex]\frac{\pi(2.1^{2}-2^{2})}{2.1-2}[/tex] = 4.1π

Instantaneous rate of change is the change of a rate at a specific value. In this case, it wants at r = 2, so take the derivative of area and determine the area with the specific radius:

[tex]\frac{dA}{dr}[/tex] = π.r²

A'(r) = 2.π.r (1)

A'(2) = 4π

Note that expression (1) is the circumference of a circle, so it is shown that to determine the instantaneous rate of change of the are of a circle, is the circumference of any given radius.

The circles in the attachment shows a circle with radius r (light green) and a circle with radius r + Δr (darker green).

The rate of change between the two circles is the area shown by the arrow:

ΔA = π,[r² - (r+Δr)²]

ΔA = π.[r² - r² + 2rΔr + Δr²]

ΔA = π.(2rΔr + Δr²)

If Δr is too small, Δr² will be approximately zero, so

Δr²≈0

ΔA = π.(2rΔr)

The rate of change with respect to its radius will be:

ΔA / Δr = π.(2rΔr) / Δr

ΔA / Δr = 2.π.r

which is the circumference of a circle, so, this is the geometrical proof.

The slope greater than one would be the last image, because for every step in x, you get more than one y step.

The slope between 1 and 0 would be the second image

And the slope less than 0 would be the third image

Answer:

D

Step-by-step explanation:

The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.

A: Since 18 + 26 > 46 is a false statement, A is not the answer.

B: Since 18 + 26 > 49 is false, B is not the answer.

C: Since 18 + 6 > 26 is false, C is not the answer.

D: Since 18 + 26 > 32 is false, D is the answer.

Answer:

since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do

Step-by-step explanation:

Options

Answer:

[tex](E)0.7+0.4-0.2=0.9[/tex]

Step-by-step explanation:

In probability theory

[tex]P$(A or B)=P(A)+P(B)$-$P(A and B)[/tex]

Let the event that the show had animals in it = A

P(A)=0.7

Let the event that the show aired more than 10 times =B

P(B)=0.4

P(A and B)= 0.2

[tex]P$(A or B)$=0.7+0.4-0.2=0.9[/tex]

Therefore, the equation which  shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times is:

[tex]0.7+0.4-0.2=0.9[/tex]

The correct option is E.

Answer:

C. x < 25 and x ≥ 0

Step-by-step explanation:

Fastest and easiest way to do this is to graph the inequality and find out the lines.

Answer:

z = 1.476

Step-by-step explanation:

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{1-0.86}{2} = 0.07[/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]1-0.07 = 0.93[/tex], so [tex]z = 1.476[/tex]

The answer is z = 1.476

Answer:

C. 2y = -12

Step-by-step explanation:

Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12

Answer:

Step-by-step explanation:hi

Answer:

Step-by-step explanation:

Rewrite the function f(x) = 8√x as y = 8√x.

To find the inverse function, do the following:

1) Interchange x and y.  We get x = 8√y

                                                                             x                        x^2

2) Solve this result for y:  (x/8) = √y  =>  y = ( -------- )^2, or y = ---------

                                                                             8                        64

Answer:

16 km due west

Step-by-step explanation:

The bearing of the school p from school q is 16 km due west.

To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.

Since p is directly west of q, then it implies that q must be directly east of p.

We now know the direction.

Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.

Hence, the bearing of q from p is 16 km due west.

Answer:

[tex]a_n=6+(-1)^{n+1}6[/tex]

Step-by-step explanation:

The given sequence is

[tex]12,0,12,0,12,0,...[/tex]

Assume that the pattern continues as indicated, the we need to find an explicit formula for the above sequence.

From the given sequence it is clear that all odd terms are 12 and all odd terms are 0.

Half of 12 is 6.

We know that,

[tex]6+6=12[/tex]

[tex]6-6=0[/tex]

So, the required formula is

[tex]a_n=6+(-1)^{n+1}6[/tex]

Therefore, [tex]a_n=6+(-1)^{n+1}6[/tex] .

Answer:

44

Step-by-step explanation:

We can solve the equation by simplifying it.

[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.

[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.

[tex]n = 44[/tex].

Hope this helped!

Answer:

  44

Step-by-step explanation:

  [tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]

Answer:

IT'S NOT -15 FOR SUREEE

Step-by-step explanation:

I Believe it's 15

Answer:

Step-by-step explanation:

[tex] - \frac{4}{9} + \frac{7}{12} + ( - \frac{ 3}{8} )[/tex]

When there is a (+) in front of an expression in parentheses, the expression remains the same:

[tex] - \frac{4}{9} + \frac{7}{12} - \frac{3}{8} [/tex]

[tex] \frac{ - 4 \times 8 + 7 \times 6 - 3 \times 9}{72} [/tex]

Calculate the sum of difference

[tex] \frac{ - 32 + 42 - 27}{72} [/tex]

[tex] \frac{10 - 27}{72} [/tex]

[tex] - \frac{17}{72} [/tex]

Hope this helps..

Good luck on your assignment...

Answer:

His final velocity is 48.03 m/s

Step-by-step explanation:

Using SI units  (m, kg, s)

a = 3.7

x0 = 25

x1 = 300

v0 = 16.5

Apply kinematics formula

v1^2 - v0^2 = 2a(x1-x0)

solve for v1

Final velocity

v1 = sqrt(2a(x1-x0)+v0^2)

= sqrt( 2(3.7)(300-25)+16.5^2) )

= 48.03 m/s

Answer:

true

Step-by-step explanation:

doesn't over lap each other

Answer:

C

Step-by-step explanation:

(3,15) and (4,12)

Answer:

C or (3, 15) and (4, 12)

Step-by-step explanation:

I just took the test on Edge 2020

Answer:

D

Step-by-step explanation:

Parallel lines are those that have the same slope, or coefficient of x.

Here, let's calculate the slope of the given line. Slope is the difference in the y-coordinates divided by the difference in the x-coordinates, so given the two coordinates (12, 6) and (0, -4):

slope = m = (-4 - 6) / (0 - 12) = -10 / (-12) = 10/12 = 5/6

So the slope is 5/6. That means the equation we want should also have a slope of 5/6. Already, we can eliminate A, B, and C, leaving D as our answer. But, let's check.

The equation of a line can be written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is the coordinates of a given point.

Here, our slope is 5/6 and our given point is (12, -2). So plug these in:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=(5/6)(x-12)[/tex]

[tex]y+2=\frac{5}{6} x-10[/tex]

[tex]y=\frac{5}{6} x-12[/tex]

This matches D, so we know that it's the correct answer.

~ an aesthetics lover

The answer is D I just took the test

Answer:

7 seconds

Step-by-step explanation:

Given the height equation of the motion;

s = -16t^2 + 256t

At s = 1008 ft

The equation becomes;

1008 = -16t^2 + 256t

16t^2 - 256t + 1008 = 0

Solving the quadratic equation for t;

Factorising, we have;

16(t-7)(t-9) = 0

t = 7 or t = 9

When the ball is going up it would reach the given height at time t = 7 seconds.

When it is coming down it would reach the given height at time t = 9 seconds.

Answer:

In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool

Step-by-step explanation:

The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.

hope this helpes

be sure to give brainliest

Answer:

An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.

At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.

The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.

Answer: 7 years

Step-by-step explanation:

From the formula A = P(1+(r/100))^t we have

5089.12 = 4000 (1+(3.5/100))^t

=> 1.27228 = (1.035)^t

Using calculator we find that 1.035^7 gives 1.272279

Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%

Answer:

$72

Step-by-step explanation:

I = Prt

I = ($300)(0.04)(6)

I = $72

Answer:

First term a = 41

Step-by-step explanation:

Arithmetic Progression:

Common differences d = -2

[tex]S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\[/tex]

  = 10*(2a - 38)

 = 10*2a - 10*38

=20a - 380

[tex]S_{22}=\frac{22}{2}(2a+21*[-2])\\\\[/tex]

= 11 (2a -42)

=11*2a - 11*42

= 22a - 462

[tex]S_{22}=S_{20}\\\\[/tex]

22a - 462 = 20a - 380

22a = 20a - 380 + 462

22a = 20a + 82

22a - 20a = 82

2a = 82

a = 82/2

a = 41

First term a = 41

Answer:

  3 square units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  A = 12(1/2)² = 12(1/4) = 3 . . . square units

__

Comment on the working

It might be helpful to you to see how this works when the units of the number are attached to the number.

  A = 12(1/2 unit)² = 12(1/2 unit)(1/2 unit) = 12(1/2)(1/2)(unit)(unit) = 3 unit²

I often choose to keep the units with the numbers, just to make sure that the numbers and units are correct. For example, you can multiply inches by feet, but you get in·ft, which is not square inches and not square feet. You have to do a conversion to get the result in square units.

━━━━━━━☆☆━━━━━━━

▹ Answer

Area = 9

▹ Step-by-Step Explanation

A = b * h ÷ 2

A = 9 * 2 ÷ 2

A = 9

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

First convert 3 minutes and 15 seconds into minutes by converting 15 sec to min and add it to 3min

60 sec = 1min

15 sec = 15 / 60 × 1 min

= 0.25min

Add it to 3min

3min + 0.25min = 3.25 min

We use ratio and proportion

3.25min = 104 copies

1 min = 104× 1/ 3.25

= 104 / 3.25

= 32

The final answer is 32 copies

Hope this helps you.

Answer:

Step-by-step explanation:

3 min 15 sec = 3*60 + 15 = 180 + 15 = 195 seconds

In 195 seconds 104 copies are made

In one second, the number of copies made = [tex]\frac{104}{195}\\[/tex]

In 60 seconds, the number of copies made = [tex]\frac{104}{195}*60[/tex]

                                                                       = 32 copies