Warmup Day 1
(5^2+ 4) x 5 - 2 + (-4)
Please work this Problem out step by step
x Clear
Undo

Answer:

Step-by-step explanation:

A. Data of the study: All 45 exercise times there were recorded from the participants in the study

B. Parameter of the study: The average amount of time that all clients exercise in one week.

C. Variable of the study: The amount of time that any given client from the fitness center exercises.

D. Population for the study: All clients at the fitness center.

E. Sample of this study: The 45 client from the fitness center who participated in the study.

F. Statistics of the study: The average amount of time that a sample of clients exercises in one week

Answer:

10°

Step-by-step explanation:

The angle subtended at the circumference is half the angle subtended at the centre of the circle i.e. 20°÷2=10°

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Explanation:

If angle x is the reference angle, then the side 9 is the adjacent side (it is the closer leg to angle x). The hypotenuse is 17 as it is opposite the largest angle. The largest side is always opposite the largest angle in a triangle.

-----------------

cos(angle) = adjacent/hypotenuse

cos(x) = 9/17

x = arccos(9/17)

x = 58.034281249203

x = 58

Arccosine is the same as inverse cosine, written as [tex]\cos^{-1}[/tex]

Make sure your calculator is in degree mode.

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Edit:

After finding x, we can find y

x+y = 90

58+y = 90

y = 90-58

y = 32

Answer:

a) 10/3  

b) hyperbola

c) x = ± 6/5

Step-by-step explanation:

a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

[tex]r=\frac{ep}{1\pm e*cos\theta}[/tex]

Given the conic equation: [tex]r=\frac{12}{3-10cos\theta}[/tex]

We have to make it to be in the form [tex]r=\frac{ep}{1\pm e*cos\theta}[/tex]:

[tex]r=\frac{12}{3-10cos\theta}\\\\multiply\ both\ sides\ by\ \frac{1}{3} \\\\r=\frac{12*\frac{1}{3}}{(3-10cos\theta)*\frac{1}{3}}\\\\r=\frac{12*\frac{1}{3}}{3*\frac{1}{3}-10cos\theta*\frac{1}{3}}\\\\r=\frac{4}{1-\frac{10}{3}cos\theta } \\\\r=\frac{\frac{10}{3}(\frac{6}{5} ) }{1-\frac{10}{3}cos\theta }[/tex]

Comparing with  [tex]r=\frac{ep}{1\pm e*cos\theta}[/tex]

e = 10/3 = 3.3333, p = 6/5

b) since the eccentricity = 3.33 > 1, it is a hyperbola

c) The equation of the directrix is x = ±p = ± 6/5

Answer:

Cost of the item sold= $1,223

Step-by-step explanation:

Let

x= cost of the item sold

$97.84=commission on the item

Percentage of the commission=8%

To find the cost of the item sold

Commission=8% of cost of the item

97.84=0.08 * x

97.84=0.08x

Divide both sides by 0.08

97.84 / 0.08 = 0.08x / 0.08

1,223=x

x=$1,223

Therefore, cost of the item sold= $1,223

Answer:

Step-by-step explanation:

Here, we'll use an apostrophe to signify the complement of a set.

__

(a) The shaded portion is two disjoint (non-overlapping) sections, so must be the union of something. The shaded space on the left is that part of A that is not in B, so it is A∩B'. Similarly, the shaded space on the right is that part of set B that is not in set A: A'∩B. Then the shaded area altogether is the union of these sets:

  (A∩B')∪(A'∩B)

__

(b) For this one, it might be easier to identify the unshaded area. That is where the sets A and B overlap, so it is A∩B. Then the area that is not that area is the complement of this:

  (A∩B)'

=====================================================

Explanation:

The fancy or strange looking E symbol is the greek uppercase letter sigma, to mean sum. So they want you to add the terms in the form x^2. The x values are from the list given to us.

x = 16 leads to x^2 = 256

x = 13 leads to x^2 = 169

etc etc

After squaring all the x values, we have this new list {256, 169, 25, 400, 196}

Lastly, you add up all the squared values to get the final answer of 256+169+25+400+196 = 1046

Answer:

826×3569=2947994 ans

Answer:

No solution

Step-by-step explanation:

[tex]-38 - 7y = 2 - 7(y + 6)\\\\\mathrm{Expand\:}2-7\left(y+6\right):\quad -7y-40\\-38-7y=-7y-40\\\\\mathrm{Add\:}38\mathrm{\:to\:both\:sides}\\-38-7y+38=-7y-40+38\\\\Simplify\\-7y=-7y-2\\\\\mathrm{Add\:}7y\mathrm{\:to\:both\:sides}\\-7y+7y=-7y-2+7y\\\\Simplify\\\\0=-2\\\mathrm{The\:sides\:are\:not\:equal}\\No\: solution[/tex]

Answer:

No solution

Step-by-step explanation:

First do distribute property

-38-7y=2-7y-42

then combine like terms the 2 and the -42

-38-7y=-40-7y add 7y from both sides

-38+y=-40 add 38 to -40 you get -2

0=-2 no solution

Answer:

-1, -0.5, 0, 0.4, 1/5, 11/2

Step-by-step explanation:

Answers reflection (b)

Step-by-step explanation:

it’s right on 8th grade khan ywwww

So he tried to reflect(b) map one figure onto the other using transformations.

If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Both the theorems are proved now which states that quadrilaterals are congruent to one another. Note: Each diagonal of a parallelogram divides the parallelogram into two congruent triangles and the opposite sides of a parallelogram are congruent.

Learn more about the quadrilaterals are not congruent at

https://brainly.com/question/20429

#SPJ2

Answer:

0.2146

Step-by-step explanation:

From the picture:

The radius of the circle = r. This means that the area of the circle = πr²

Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²

The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²

The ratio of the area inside the square but outside the circle to the area of the square =  r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146

Hello, please consider the following.

[tex](\forall x \in \mathbb{R}) \\ \\ x=(f^{-1}of)(x)\\\\=(fof^{-1})(x)\\\\=f(f^{-1}(x))\\\\=6\left( f^{-1}(x) \right) ^3-8 = x\\\\\text{We need to express }f^{-1}(x) \text{ in function of x.}\\\\\text{Let's do it!}[/tex]

[tex]6\left( f^{-1}(x) \right) ^3-8 = x\\\\\left( f^{-1}(x) \right) ^3 =\dfrac{x+8}{6}\\\\\Large \boxed{\sf \bf \ \ f^{-1}(x)=\sqrt[3]{\dfrac{x+8}{6}}\ \ }[/tex]

Thank you

Answer:

8

Step-by-step explanation:

Numbers divisible by 12 and 30:

So, numbers should be divisible by 60

To find the greatest one divide 586 by 60 and take whole part of quotient, which is 9, so there are 9 multiples of 60 smaller than 586.

Excluding 60 which is less than 75.

So required number is 9 - 1 = 8.

Answer:

8 inches

Step-by-step explanation:

The computation of the length, in inches of Segment line G prime A prime is shown below:-

Data provided

In two quadrilateral GAME and G'A'M'E',

ME = 35 inches

AM = GE = 56 inches

M'E' = 14 inches

Also, the perimeter of quadrilateral GAME = 167 inches

GA + AM + ME + GE = 167

Now we will put the values into the above equation

GA + 56 + 35 + 56 = 167

GA + 147 = 167

So,

GA = 20 inch

Therefore

GAME is closely related to G'A'M'E'

Now,

By the property of similar figures,

[tex]\frac{M E}{M' E'} = \frac{GA}{G'A'}[/tex]

[tex]G'A' = \frac{M'E'\times GA}{ME} \\\\ = \frac{14\times 20}{35}[/tex]

= 8 inches

Answer:

[tex]\Large \boxed{\mathrm{A) \ 7}}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan(θ) = opp/adj

tan(35) = x/10

Multiply both sides by 10.

10 tan(35) = x

x = 7.00207538...

Answer:

178° 35'

Step-by-step explanation:

∠ACB and ∠ACD are supplementary, so they add up to 180°.

First, convert to degrees (there are 60 minutes in a degree).

∠ACB = 1°25' = 1° + (25/60)° = 1.4167°

Now find the supplementary:

∠ACD = 180° − 1.4167°

∠ACD = 178.5833°

∠ACD = 178° 35'

Answer:

4y

Step-by-step explanation:

[tex]y- (-3y)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\\=4y[/tex]

Hello there! :D

I love showing people how to use this concept, so lets get right to it! If you have trouble with negative (-) signs and how they interact with each other, I suggest you watch some Khan academy videos, it could realy help you in the future! :)

Alright, so here's the general rule: (multiplication and division)

-,-= +

-,+ = -

+,+=+

So, with this rule, I think we can solve!

Firstly, remember PEMDAS.

Let's look at the signs first. Two negatives equal a positive. Make the 3y in the parenthesis positive. Think of the negative sign as a -1 that is being multiplied by the (-3y) and the y.

That would look like this:

(y) (-1) (-3y)

Now we have:

y*(3y)

So when multiplying a variable by a variable, it becomes squared.

So, we would have 3y^2 or [tex]3y^{2}[/tex]

If you have any questions about this problem feel free to comment on this answer.

I hope this helped you and you have a wonderful day,

Kai xx

Answer:

Yes based on the result 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5

Step-by-step explanation:

a)The variable "weekly time spent watching television" is normally distributed and is skewed right.

b) Mean = x` 2.35 hours

Standard deviation = s/√n = 1.93/√40=1.93/6.3245553= 0.3051598

c) P(2<X<3) = P (2-2.35/ 0.3051598< Z< 3 -2.35/ 0.3051598)

                    = P ( -1.14694 < Z <2.13003)

                     = 0.3729 + 0.4830

=0.8559

So the probability is 0.8559

(0.8559 we check the value of 2.13 from the normal distribution tables and add with the value of 1.14 to get the in between value -1.14694 < Z <2.13003)

d) Here n = 35 , s= 1.93 , mean = 2.35 and x= 1.89  

So Putting the values

P (X ≤ 1.89) = P (Z ≤ 1.89- 2.35/ 1.93 / √35)

              = P ( Z ≤ -0.238341/ 5.9160797)

                  = P ( Z ≤ -0.04028)

= 0.5 - 0.0159

= 0.4841

Similarly again subtracting from 0.5 the value from normal distribution table to get less than or equal to value.

Yes based on the result 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5

The mean value is 2.35, SD is 1.93 with an SD error of 0.3051597 and the probability is 0.8559, and yes 0.4841 internet users watch less TV.

It is given that the amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials.

It is required to find the standard deviation and probability.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We know the formula for standard error:

[tex]\rm SE = \frac{s}{\sqrt{n} }[/tex]

Where 's' is the standard error

and n is the sample size.

In the question the value of s = 1.93 hours

and sample size n = 40

[tex]\rm SE = \frac{1.93}{\sqrt{40} }\\[/tex]

SE = 0.3051597

For the probability between 2 and 3 hours.

= P(2<X<3)  

[tex]\\\rm =P(\frac{2-x)}{s} < Z < \frac{3-x)}{s})\\\\\rm = P(\frac{(2-2.35)}{0.3051598} < Z < \frac{(3-x)}{0.3051598})\\\\[/tex]         (because the mean value x is 2.35)

=P(-1.14694 <Z < 2.13003)

=0.3729+ 0.4830   ( values get from Z table for -1.14 and 2.13 )

=0.8559

For P(X≤1.89)

[tex]\rm P(Z\leq \frac{(x'-x)}{\frac{s}{\sqrt[]{n} } } )\\\\\rm P(Z\leq \frac{(1.89-2.35)}{\frac{1.89}{\sqrt[]{35} } } )[/tex]

= P(Z ≤ -0.04028)

= 0.5 - 0.0159

=0.4841

Based on the result of 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5.

Thus, the mean value is 2.35, SD is 1.93 with an SD error of 0.3051597 and the probability is 0.8559, and yes internet users watch less TV.

Learn more about the standard deviation here:

https://brainly.com/question/12402189

Answer:

[tex]\sqrt{205}[/tex]

Step-by-step explanation:

Using the pythagorean theorem, [tex]x^{2} +18^{2} =23^{2} \\[/tex] so that means [tex]x^{2} = 23^{2} -18^{2} =205[/tex] so x = [tex]\sqrt{205}[/tex]

Answer:

2x - 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Distribute parenthesis

2x - 6 + 4

Step 2: Combine like terms

2x - 2

And we have our answer!

Answer:

[tex]2( x -3) + 4 \\ 2x - 6 + 4 \\ [/tex]

Answer:

Rs 30800

Step-by-step explanation:

The formula for compound interest is

A = P[1 + (r/100)]^t, where

A = amount of compounded interest

P = principal amount

r = interest rate

Applying this to our question, we have

A = 25000 [1 + (10/100)] [1 + (12/100)]

A = 25000 (1 + 0.1) (1 + 0.12)

A = 25000 * 1.1 * 1.12

A = 25000 * 1.232

A = 30800

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]\begin{aligned} (2x-9)(3x+4)=\ &2(3x+4)\\&-9(3x+4)\\\\ =\ & 6x+8\\&-27x-36\\\\=\ &(6-27)x+8-36\\\\=\ &-21x-28\end{aligned}[/tex]

Thank you.

Answer:

-i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex] = -i

Answer:

o the nearest tenth of ft

Length of one of the side= 14.6 ft

Step-by-step explanation:

Reed wants to have a square garden plot in his backyard. He has covered enough compost to cover an area of 214 square feet.

His square garden is a square one, and the area of a square is the square of one of it's sides .

So if the area= 214 ft²

Length of one of the side = √(214 ft²)

Length of one of the side= 14.6287 ft

To the nearest tenth of ft

Length of one of the side= 14.6 ft

Answer:

Ms. Steiner

Step-by-step explanation:

Mr. Coelho

science = 25 / 50 = 1/2

math  = 30 / 40 = 3/4

not the same rate

Ms. Steiner

science = 20 / 50 = 2/5

math  = 12 / 30 = 2/5

It is the same rate, so they are proportional

Mr. Coelho:  Science: 50 minutes / 25 tests = 2 minutes per test

                     Math: 40 minutes / 30 tests = 1.33 minutes per test.

Ms. Steiner: Science: 50 minutes / 20 tests = 2.5 minutes per test.

                     Math: 30 minutes / 12 tests = 2.5 minutes per test.

The answer is Ms. Steiner.

Answer:

  7.7 seconds

Step-by-step explanation:

Put the given height into the formula and do the arithmetic.

  t = √(290.57/4.9) = √59.3 ≈ 7.7 . . . seconds

The object will take 7.7 seconds to hit the ground.

Answer:

y = -2x + 1

Step-by-step explanation:

First, find the slope with rise/run (y2 - y1) / (x2 - x1)

We can use the points (-1, 3) and (0, 1)

Plug in the points:

(1 - 3) / (0 + 1)

-2/1

= -2

The y-intercept is (0, 1) because that is the point where the line intercepts the y axis. So, we can plug in the slope and y-intercept into the equation:

y = mx + b

y = -2x + 1