17.899 rounding to the nearest thenth

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

Answer:

Rational

Step-by-step explanation:

It can be represented as a fraction.

332/5625

0.0590222222222222... is a rational number.

We have,

0.0590222222222222.......

We need to determine whether this number is rational or irrational.

A rational number is a number that can be written in p/q form where q≠0.

Some rational numbers are terminating.

Example: 45/2 = 22.5

Some rational numbers are recurring numbers.

Example: 556/3 = 185.33333333333...

The irrational number are those numbers that are non-terminating and non-recurring.

Example: 22/7 = 3.14285714285.....

We have,

0.0590222222222222......

Where 2 is recurring.

So it is a rational number.

Thus 0.0590222222222222... is a rational number.

Learn more about rational and irrational numbers here:https://brainly.com/question/17450097

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Step-by-step explanation:

mother salary: x

father salary:2x

total salary =27000

therefore 3x=27000

so x=900 (divided by 3)

therefore mother salary = 900

father salary=2multiplied by 900=1800

Answer:

Father's monthly salary is P18,000

Mother's monthly salary is P9,000

Step-by-step explanation:

The problem above can be solved by using "algebraic expressions."

Let x be the father's monthly salary

Let y be mother's monthly salary

Formula: x + y = P27,000

If father's monthly salary is twice than what mother makes, then: x = 2y, which means,

2y (father's salary) + y (mother's salary) = P27,000

First step: 2y + y = P27,000

Second step: 3y = P27,000

Third step: y = [tex]\frac{P27,000}{3}[/tex]

Fourth step: y = P9,000

So, mother's salary is P9,000. This means we can get father's salary:

2y = 2 × P9,000 = P18,000 (this is the value of x)

So, father's salary is P18,000.

If we combine both of their salaries, the product is P27,000.

x + y = P27,000

P18,000 + P9,000 = P27,000

So, this explains the answer.

Step-by-step explanation:

Use Newton's second law.  Force equals mass times acceleration.

F = ma

300 N = (100 kg) a

a = 3 m/s²

Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

Step-by-step explanation:

the answer is in the picture

Answer:

85

Step-by-step explanation:

Because 170 divided by 2.

The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Let x be the total number of miles:

From the question:

y be the total cost of hiring

y = 20 + 2x

y = 170

170 = 20 + 2x

150 = 2x

x = 150/2

x = 75 miles

Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Learn more about the linear equation here:

brainly.com/question/11897796

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paraboloid: v = ∫[0,4]πz dz = 8π cone:

v = ∫[0,4]πz^2 dz = 64/3 π

hyperboloid: v = ∫[1,5]π(z^2-1) dz = 112/3 π

 when you see that the cone's radius at the top of the water is √8, while the paraboloid's is only 2.

hope it helps.

Answer:

ok whats the problem

Step-by-step explanation:

Step-by-step explanation:

um were is the question

Answer:

1078

Step-by-step explanation:

Answer:

[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]

Step-by-step explanation:

y - 4 = C(x - 2)²

y-intercept = -3, so x = 0, y = -3

-3 - 4 = C(2)²

so C = -7/4

[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

Answer:

(y - 9) = 7/4(x + 7)

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is 7x - 4y - 9 = 0.

First let's convert this to y = mx + b form.

Add 4y to both sides.

Divide each term by 4.

The slope is 7/4. A line parallel to this one will also have a slope of 7/4.

The standard point-slope form is:

For the point-slope form, you need two things: a point and a slope.

Plug in our given information.

Simplify.

Learn with another example.

https://brainly.com/question/26681302

Hope this helps!

Let's consider the information given:

What do we want to solve: put the equation of the line in point-slope form

 ⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]

              ⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]

                         -where m is the slope and b is the y-intercept

                                 [tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]

               ⇒ Slope is 7/4

     2. When two lines are parallel, their two slopes are equal, and since

         the line passes through (-7,9), use point-slope form

                [tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form

What do we also want: find the general form ⇒ Ax + By = C

               [tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form

Hope that helps!

9514 1404 393

Answer:

  95%

Step-by-step explanation:

The given limits differ from the mean by ...

  1.30 -1.50 = -0.20

  1.70 -1.50 = 0.20

These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.

For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.

Answer:

-4

Step-by-step explanation:

First we combat the 10 - 16 so we get - 6

Then we fight the -6 and the 2 to get -4

The value of this fight was -4 :)

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

 I answered the stupid question and you deleted it  

Step-by-step explanation:

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

Answer:

[tex]\displaystyle -1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.

I am joyous to assist you at any time.

Answer:

37.68 centimeters

Step-by-step explanation:

The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.

3.14 × 12

37.68

Therefore, the answer is 37.68 cm.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

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

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

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

Since,

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

✨Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

Answer:

2(L ×W) +2(L×H)+2(W×H)

Step-by-step explanation:

find the answer of that

Answer:

180 cm 2

Step-by-step explaination:

2 ( lxw) + 2(lxh) + 2(wxh)

40 + 40 + 100

180

Answer:

D.)

Step-by-step explanation:

[tex]x + 105 + 113 + 75 = 360[/tex]

[tex]x + 293 = 360[/tex]

[tex]x = 360 - 293[/tex]

[tex]x = 67[/tex]

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;

[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]

Answer:

(x + 11y)(x - 4y)

Step-by-step explanation:

-44 = 11*(-4)

11 + (-4) = 7

so x² + 7xy - 44y² = (x + 11y)(x - 4y)

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Answer:

$21.25

Step-by-step explanation:

x - x(0.20) = 17

0.8x = 17

x = 21.25