How far up will a 15-foot long ladder reach on a vertical wall if its end is placed 6 feet from
the base of the wall?
15 feet
1)12.87 ft
2)13.22 ft
3)13.75 ft
4)14.13 ft

9514 1404 393

Answer:

  a factor of 2 is shown, but 4 was factored out

Step-by-step explanation:

The difference of squares is factored as ...

  a² -b² = (a +b)(a -b)

Then the given difference of squares factors as ...

  144x² -100 = (12x)² -10² = (12x +10)(12x -10)

Each of these factors has a factor of 2 that can be factored out:

  = (2(6x +5))(2(6x -5))

  = (2·2)(6x +5)(6x -5)

  = 4(6x +5)(6x -5)

The first factor should be 4, not 2.

Answer:

21x

Step-by-step explanation:

11 x 2= 22

22 + 3x =25x

25 - 9x = 16x

16x - 4 = 12x

12x + 2 + 7 =21x      

BUT- IF YOUR LOOKING FOR N INQUAILTY HERE..

ANSWER: 9ײ + x - 16

steps:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

  (((11•(x2))+3x)-9)-((2x2+2x)+7)

 ((11x2 +  3x) -  9) -  (2x2 + 2x + 7)

3.1     Factoring  9x2+x-16  

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -16  

IF its not right sorry

Answer:

9x^2+x−16

Step-by-step explanation:

I got it right on TTM/Imagine Math

Answer:

can you resend the question it has no photo, LOL

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the data: 7.8 7.9 5.8 5.8 5.7 5.6 6.9 8.7 7.9 7.8 7.5 6.7 7.5 8.8 5.7

Rearranged data: 5.6, 5.7, 5.7, 5.8, 5.8, 6.7, 6.9, 7.5, 7.5, 7.8, 7.8, 7.9, 7.9, 8.7, 8.8

The 22nd percentile :

Percentile (i) = (P / 100) * n

Where i = rank, n = Same size ; P = pw cwntile.

P = 22 ; n = 15

i = (22/100) * 15

i = 3.3 rd

The 22nd percentile is equivalent to 4th data in the ordered set = 5.

Answer:

3•x-7

Step-by-step explanation:

I hope that helps!

Answer:

The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]

Step-by-step explanation:

The directional derivative at point (x,y) is given by:

[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]

In which a is the x component of the unit vector and b is the y component of the unit vector.

Vector:

We are given the following vector: [tex]v = (3,1)[/tex]

Its modulus is given by: [tex]\sqrt{3^2 + 1^2} = \sqrt{10}[/tex]

The unit vector is given by each component divided by it's modulus. So

[tex]v_u = (\frac{3}{\sqrt{10}}, \frac{1}{\sqrt{10}})[/tex]

This means that [tex]a = \frac{3}{\sqrt{10}}, b = \frac{1}{\sqrt{10}}[/tex]

Partial derivatives:

[tex]f(x,y) = \ln{(2 + 3x^2 + 3y^2)}[/tex]

So

[tex]f_x(x,y) = \frac{6x}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]

[tex]f_x(1,-2) = \frac{6(1)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = \frac{6}{\ln{17}}[/tex]

[tex]f_y(x,y) = \frac{6y}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]

[tex]f_y(1,-2) = \frac{6(-2)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = -\frac{12}{\ln{17}}[/tex]

Directional derivative:

[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]

[tex]D_{u}(x,y) = \frac{6}{\ln{17}}\times\frac{3}{\sqrt{10}}-\frac{12}{\ln{17}}\times\frac{1}{\sqrt{10}}[/tex]

[tex]D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex]

[tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]

The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]

Answer:

174

Step-by-step explanation:

Number of section = 6

Number of students in each sections = 29

Nøw

Total students in Grade 5 is

= 6 * 29

= 174

Hope it will help you :)

Answer:

174

Step-by-step explanation:

[tex]29 \times 5[/tex]

which is 174

Answer:

Step-by-step explanation:

10/3

18/5

6/4  or 3/2 or 1 1/2

18/20 or 9/10

9/16

Answer:

The expression that belongs in the box is 8 x 4

Option C is correct answer.

Step-by-step explanation:

We need to find Which expression belongs in the box?

[tex](3 \times 8) \times 4= 3 \times (------)[/tex]

The property applied here is associative property of multiplication.

Associative property of multiplication states that:

[tex](a \times b)\times c = a \times (b \times c)[/tex]

So, if we apply the property to our question we have:

a = 3

b = 8

c = 4

So, the expression will become: [tex](3 \times 8) \times 4= 3 \times (8 \times 4)[/tex]

So, the expression that belongs in the box is 8 x 4

Option C is correct answer.

Answer:

the answer is 52/100 :)

Answer:

52/100

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

A person came to work by 8:30 am

He went out to lunch 11:45 am and came back 12:30 pm

He closed 5:15 pm

Therefore the total hours worked that day can be calculated as follows

Time worked from 8:30 am to 11:45 am is 3 hours 15 mins

Time worked for 12:30 pm to 5:15 pm is 4 hours 45 mins

3 hours 15 mins + 4 hours 45 mins

= 8 hours

Hence the total hours worked that day is 8 hours

The product of two complex numbers is SOMETIMES a complex number.

this is because you can add 2 complex numbers and get a whole number, which is not a complex number. However, you can add 2 complex numbers and sometimes get another complex number.

May I have brainliest please? :)

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.

Answer:

150 feet per minute

Answer: d

Step-by-step explanation: i know it

Answer:

270 Different Combo's

Step-by-step explanation:

Answer:

20*4=80 + 20 = 100

Step-by-step explanation:

I can wear five different shirts, for each shirt, I can have any of four different pants.

That’s 5*4=20 outfits.

But I can wear two shirts, I often do. For each of five shirts worn underneath, there are four shirts I can wear over that, so there are twenty shirt pairings, and again, four different pants to wear with each pair, that’s 20*4=80 + 20 = 100

Answer:

maria is fat

Step-by-step

Answer:

There are 401 terms.

Step-by-step explanation:

The first term is 37 (subtract 36 to get 1st).  The last term is 437 (subtract 36 to get 401st).

Answer:

I have no idea :>    <3

Step-by-step explanation:

1. be dum

2. not know the answer

3.say i don't know de ansser

4. put a heart so they don't hate you

5. i don't know just go do your test child -___________-

Answer:

180

Step-by-step explanation:

Answer:

Because they find it hard to pass in the past.

Step-by-step explanation:

Non-STEM majors detest taking algebraic courses at the collegiate level because based on their past experiences in high school, whereby they probably do not excel in algebra, numbers, or mathematical subjects in general, the thought of going through advanced numbers and equations can be overwhelming.

Nobody wants to have or at least start college with poor grades. Hence, because non-STEM students find algebraic courses hard to pass in the past, they detest taking the course that has to do with it at the college level.

Hope it will help you

Answer:

B. Y=5(X+2)

Step-by-step explanation:

If you look at the other persons graph is specifically says that.

Answer:

Ben expected to earn $27,675 this year.

Step-by-step explanation:

First, to be able to determine the difference between this year and last year, you would multiply $22,500 by 0.23 (or, 23% in decimal form).

When you do that, the answer comes out to 5,175.

So then, you add $22,500 and $5,175 in order to get the value that he expected to earn this year. That comes out to $27,675, which is your final answer.

Answer:

3 to 10 , 3

Step-by-step explanation:

There are 3 true questions and 7 false question  , in total , there are 10 questions.

Answer:3:10

Step-by-step explanation:

Or you can write it

3 to 10

3/10

Answer:4

Step-by-step explanation:

Answer:

its actually  5:36

Step-by-step explanation:

Answer:

We should reject H₀   for values of | x₁| > 5,26     |x₁| > 6,12

Step-by-step explanation:

Sample mean    μ₀  =  5,7

Sample size       n₁  = 24

Sample standard deviation   s =  1

Significance level    α  = 0,05        CI = 95 %

Hypothesis criteria: Valves don´t meet the specification, which means pressure could be higher or lower than nominal

Normal Distribution where n < 30 we should use a two-tail t-student test

degree of freedom     df =  24 - 1  = 23

And with df = 23  and  α = 0,025 we find in t-tables the value for

t(c) =  - 2,0687     ( on the left tail )

Test Hypothesis:

Null Hypothesis                                       H₀            x  = μ₀

Alternative Hypothesis                           Hₐ            x  ≠ μ₀

To compute  t(s)

t(s) = ( x  -  μ₀ ) / s/√n

t(s) = ( x - 5,7 )*4,80

t(s) =  4,80*x  -  27,34

Then   for values of  t(s)   |t(s)| > 2,0687 we have to reject H₀

If we make   t(s)  =  t(c)  we find

-2,0687 = 4,8*x - 27,34

x  = ( 27,34 - 2,07 ) / 4,8      and on the other tail  x  = 6,12

x = 5,26

Therefore for values of 5,26 ( under )   and above 6,12 we shoud reject the Null hypothesis

Answer:

i believe X is 4

hope that helps

Step-by-step explanation:

Answer:5.75

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-7x-5[/tex]

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We'll take the first two points (-2,9) and (-1,2)

[tex]\displaystyle y-9=\frac{2-9}{-1+2}(x+2)[/tex]

Operating:

[tex]\displaystyle y-9=\frac{-7}{1}(x+2)[/tex]

[tex]\displaystyle y-9=-7(x+2)[/tex]

[tex]\displaystyle y-9=-7x-14[/tex]

Adding 9:

[tex]\boxed{\displaystyle y=-7x-5}[/tex]

Substituting the last two points we can verify they also belong to the line.

Answer:

12

Step-by-step explanation: