Convert the following fractions to equivalent fractions?

Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

Answer:

hio

Step-by-step explanation:

hi

As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

Given that, the ancient Babylonians were writing fractions in 1800 BCE.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.

The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.

From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.

Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

To learn more about the fraction visit:

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Answer:

IF YOU ARE TALKING ABOUT ANGLES 1 AND 2

They add up to 180 degrees

if you want the measures of them, ANGLE 1 = 140 degrees    ANGLE 2 = 180-140=40 degrees

Step-by-step explanation:

They are Supplementary angles, which means they add up to 180 degrees

HOPE THIS HELPPPSSSSSSSSSSS

Answer:

The answer is 230.14

Easy long division

Answer:

The anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Step-by-step explanation:

Given the function

[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]

Taking the anti-derivative of f(x)

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

Solving

[tex]\int 10x^4dx[/tex]

[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]

[tex]=10\cdot \int \:x^4dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]=2x^5[/tex]

similarly,

[tex]\int 12.5dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

[tex]=12.5x[/tex]

so substituting these values

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

                                [tex]=2x^5+12.5x[/tex]

                               [tex]=2x^5+12.5x+C[/tex]   ∵ Add constant to the solution

Therefore, the anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

Answer:

Hi,

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

Where  represents the value of   for when   is equal to zero.

Therefore, 8795 can be considered the initial value for production.

Step-by-step explanation:

The graph of a linear function is the same as the example below:

As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)

The value of [tex]m[/tex]  represents the rate of change of the function and is linked to the slope of the line.

Any questions just ask in the comments.

Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.

The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.

325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.

Read related link on:

https://brainly.com/question/13151761

Answer:

A) None of the above

Step-by-step explanation

it's distributive property

Answer:

∠1 = 107

∠2 = 73

Step-by-step explanation:

Answer:

The data is not appropriately normal.

Step-by-step explanation:

In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.

The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

c

Step-by-step explanation:

,

Answer:

The Answer is C

Step-by-step explanation:

Answer:

answer is 1,080

Step-by-step explanation:

45×24=1,080

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

Answer:

[tex] x = 17.5 [/tex]

Step-by-step explanation:

Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:

[tex] \frac{28}{16} = \frac{x}{10} [/tex]

Cross multiply

[tex] x*16 = 10*28 [/tex]

[tex] 16x = 280 [/tex]

Divide both sides by 16

[tex] x = \frac{280}{16} [/tex]

[tex] x = 17.5 [/tex]

Answer:

The equation y=4x-1 has a greater rate of change

Step-by-step explanation:

to find rate of change for the table, you use [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

so, [tex]\frac{-5-(-7)}{-2-(-3)}[/tex] =      [tex]\frac{2}{1}[/tex]  = 2

So the rate of change for the table is 2 while the rate of change for the equation is 4. 4>2 so the equation has a greater rate of change.

Answer:

 [tex]y= -\frac{1}{3}x -6[/tex]

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

Answer:

8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids

Answer:

r = 2

Step-by-step explanation:

When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.

Hope this helps :)

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

Answer:

a) point estimate for the population proportion of all customers who experienced an interruption

E = 0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

(0.11441 , 0.16319)

C)

Size of the sample 'n' = 509

Step-by-step explanation:

Step(i):-

a)

An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month.

Sample proportion

                           [tex]p = \frac{x}{n} = \frac{75}{540} = 0.1388[/tex]

The point estimate of all customers who experienced an interruption

                         [tex]E = \frac{Z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }[/tex]

  Level of significance

                          Z₀.₀₅ = 1.96

                         [tex]E = \frac{1.96\sqrt{0.138(1-0.1388)} }{\sqrt{540} }[/tex]

                         E  =  0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

[tex]( p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } ,p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex]( 0.1388 -1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} } ,0.1388 + 1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} })[/tex]

( 0.1388 - 0.02439 , 0.1388 + 0.02439)

(0.11441 , 0.16319)

c)

Margin of error

                   [tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

                   [tex]0.03 = \frac{1.96 \sqrt{0.1388(1-0.1388)} }{\sqrt{n} }[/tex]

                   √n = 22.58

Squaring on both sides, we get

                 n = 509

Step-by-step explanation:

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.