Denver is about 5,200 feet above sea level. Which number line best represents this interger?
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Answer:

we arrive at the conclusion that the new employee installs the vertical blinds faster on average.

Step-by-step explanation:

null hypothesis; m₁-m₂ =0

alternative hypothesis; m₁-m₂<0

Given the information in this question, we first have to solve for the t statistic

[tex]t=\frac{22-24.8}{\sqrt{\frac{0.90^{2} }{10}+\frac{0.75^{2} }{10} } }[/tex]

[tex]t=\frac{-2.6}{\sqrt{o.081+0.05625} }[/tex]

[tex]t=\frac{-2.6}{0.37047}[/tex]

t = -7.018

the degree of freedom = n₁+n₂-2

= 10+10-2

= 18

Alpha α = 0.05

from these results the t critical value = -1.734

because the test statistic -7.018 < -1.734,

at 0.05 level of testing, we arrive at the conclusion that the new employee installs the vertical blinds faster on average than the veteran.

Step-by-step explanation:

We have,

[tex]g(x)=x^3+x^2-x-2[/tex]

To find g(-1), put -1 in place of x i.e.

[tex]g(-1)=(-1)^3+(-1)^2-(-1)-2\\\\=-1[/tex]

To find g(1), put 1 in place of x i.e.

[tex]g(1)=1^3+1^2-1-2\\\\=-1[/tex]

To find g(2), put 2 in place of x i.e.

[tex]g(2)=2^3+2^2-2-2\\\\=8[/tex]

g(2) + g(1) = 8+(-1)

= 7

Hence, this is the required solution.

Answer:7

Step-by-step explanation: mark brainliest pls lol

Answer:

[tex]\theta = 64.8^o[/tex]

Step-by-step explanation:

Given

[tex]h = 500m[/tex] --- altitude

[tex]x = 235m[/tex] --- horizontal distance

Required

The angle of elevation [tex]\theta[/tex]

The question is illustrated with the attached image.

From the attachment,

[tex]\tan(\theta) = \frac{h}{x}[/tex]

This gives:

[tex]\tan(\theta) = \frac{500m}{235m}[/tex]

[tex]\tan(\theta) = 2.128[/tex]

Take arctan of both sides

[tex]\theta = \tan^{-1}(2.128)[/tex]

[tex]\theta = 64.8^o[/tex]

The solution is given below.

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

Refer to the fraction strip to show 3/4 & 6/8 are same.

Also if you reduce 6/8 by dividing 2 to numerator & denominator…

it’s 3/4.

The solution is attached below.

To learn more on number line click:

brainly.com/question/29162579

#SPJ2

Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

9514 1404 393

Answer:

  8√3 ≈ 13.86 ft

Step-by-step explanation:

The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...

  y = 1/(4p)x^2

  y = 1/12x^2

The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.

For y=4, the corresponding value of x is ...

  4 = 1/12x^2

  48 = x^2

  √48 = x = 4√3

Then the width of the searchlight opening is ...

  2(4√3 ft) = 8√3 ft ≈ 13.86 ft

Answer:

8 inches

Step-by-step explanation:

Let w represent the width.

If the length is 14 inches longer than the width, it can be represented by w + 14.

Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:

p = 2l + 2w

60 = 2(w + 14) + 2w

60 = 2w + 28 + 2w

60 = 4w + 28

32 = 4w

8 = w

So, the width is 8 inches

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Pool dimension :

rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor

Floor area = length * width

Floor area = 22 * 13 = 286 ft²

Volume of the pod :

Floor area * height = 286ft² * 7ft = 2002 ft³

2.)

Surface area = length * width

Surface area = 28 * 20 = 560 ft²

Volume of the pool :

Surface area * deptb = 560ft² * 7ft = 2002 ft³

3.)

Area of flower bed = length * width

Floor area = 30 * 5 = 150 ft²

Volume of the soil flowerbed holds :

Depth = 1.1 m

Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³

Answer:

g(x) = f(x) - 2

g(x) = f(x + 2)

Step-by-step explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0.

Function f:

Graph given in this question

When [tex]x = 0, y = 6[/tex], so the y-intercept is 6.

Additionally, when [tex]x = -2, y = 4[/tex]

If g has a y-intercept at 4, which of the following functions could represent g?

Either we subtract 2 from f, that is:

[tex]g(x) = f(x) - 2[/tex]

Or we can also add 2 on the domain, that is, moving 2 units to the right, so:

[tex]g(x) = f(x+2)[/tex]

So the first two options are correct.

Answer:

the answer would be g(x)=f(x)-2

Step-by-step explanation:

i got it right

Answer : A,D,G

Step-by-step explanation:

A factor of experiment is the controlled independent variable.

The factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

A factor of experiment is the controlled independent variable.

Given information

The experiment is conducted on the basis of age.

The experiment is not conducted on the basis of gender.

In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.

Factors of this experiment-

Thus the factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

Learn more about the  factor of experiments here;

https://brainly.com/question/840290

Answer:

[tex]The \ two \ numbers \ are \ \frac{1}{6} \ and \ \frac{5}{6}[/tex]

Step-by-step explanation:

Let the two numbers be = x , y

Given:

    One of the number is 5 times other number, that is y = 5x ----- ( 1 )

    The sum of their reciprocals is 36/5 , that is

                                                                    [tex]\frac{1}{x} + \frac{1}{y} = \frac{36}{5}[/tex]   ------ ( 2 )

  Substitute y in the second equation.

      [tex]\frac{1}{x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{1 \times 5}{5 \times x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5}{5x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5+1}{5x} = \frac{36}{5}\\\\\frac{6}{5x} =\frac{36}{5}\\\\36 \times 5x = 6 \times 5\\\\x = \frac{6 \times 5}{36 \times 5} = \frac{1}{6}[/tex]

  Substitute x in first equation.

   [tex]y = 5x\\\\y = 5 \times \frac{1}{6} \\\\y = \frac{5}{6}[/tex]

Answer:

so that you will multiply 15 * 4.

Step-by-step explanation:

15*4 = 60 now you divide 60 by 4 and the answer will be 15.

Answer:

x=6

Step-by-step explanation:

the answer is b no trend

Answer:

3

Step-by-step explanation:

(10, 5) and (15,20)

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (20 - 5) /(15 - 10)

m = 15/5

m = 3

Answer:

No

Not continous at x = 6

Step-by-step explanation:

When x = 6

G(6) = 1/(6 - 6) = 1/0

Dividing by 0 creates a discontinuity

Answer:

21 bows

Step-by-step explanation:

Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.

Answer:

1st option

Step-by-step explanation:

Given the zero product

(x - 3)(x + 5) = 0 , then

x - 3 = 0 ; x + 5 = 0

Answer:

£70.00

Step-by-step explanation:

You basically want to find what she spent in total, then subtract the amount she spent on ingredients.

50 glasses of lemonade at £2.10 each would be £105. (50*2.1)

Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)

Answer:

LCM = 1440

Step-by-step explanation:

           2 | 72 , 96 , 120

           2 | 36, 48, 60

           2 | 18 , 24 , 30

           2 | 9 , 12 , 15

           2 | 9 , 6 , 15

           3 | 9 , 3 , 15

           3 | 3 , 1 , 5

           5 | 1 , 1 , 5

             | 1 , 1 , 1

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 1440

Answer:

please post a more cohesive question. The values are very confusing

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

Answer:

Step-by-step explanation:

hope it helps u too

Đáp án là C: 8+25i nhé

8+ 25i

Answer:

C. 8+25i

Just took it, it's correct :)

Answer:

y = 6/5x -7

Step-by-step explanation:

It's in p/q form where p = 16 and q = 33.

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

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

Answer:B

Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.

Answer:

good point I don't know that either

Answer:

Option (3)

Step-by-step explanation:

By applying the property of inscribed angle and intercepted arc in the given circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]

[tex]85=\frac{1}{2}(20x+10)[/tex]

[tex]170=20x+10[/tex]

[tex]20x=160[/tex]

[tex]x=8[/tex]

Therefore, Option (3) is the correct option.

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

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

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2