rewrite
3/20
and
2/15
so that they have a common denominator.

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

Answer:

3, 9, 15, 21

Step-by-step explanation:

6n-3

n = 1: 6(1) - 3 = 3

n = 2: 6(2) - 3 = 9

n = 3: 6(3) - 3 = 15

n = 4: 6(4) - 3 = 21

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

Answer:

226 feet

Step-by-step explanation:

264^2 + 900^2= c^2

879696= c^2

938= c

900+ 264= 1164

1164- 938= 226

I think this is right

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

h=13

Step-by-step explanation:

volume=w*h*l

312=(4)(6)(X)

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Answer:

Th final equation is [tex]Y = 2X^2 -3[/tex]

The graph is attached

Step-by-step explanation:

Given

[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)

and [tex]Y = 2t -3[/tex] --- Eq (2)

Substituting the value of "t" from Eq (1) into Eq (2), we get -

[tex]Y = 2X^2 -3[/tex]

The graph for the equation is attached here with

The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have parametric functions:

x = √t ⇒ x² = t

y = 2t—3

Plug t = x² in the other equation, we get:

y = 2x² - 3

The graph will be a parabola.

Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

Learn more about the parametric function here:

brainly.com/question/10271163

#SPJ5

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

Answer:

I believe it is 13 - 3x

Step-by-step explanation:

Since we dont know how long it takes Scott to paint the house, we use x in its place. We are subtracting to find out how many hours it takes James. Once you get that answer divide by 3.

The equation that should be used to solve for the amount of hours should be considered to be 13-3x.

Since

It takes Scott 3 times longer to paint a house than it takes James. And,  they work together, they can paint the house in 13 hours.

So here we assume x to paint the house

So here the equation be like 13-3x.

Learn more about an equation here: https://brainly.com/question/2252530

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166

Answer:

13. rational, integer, white number, natural

14. irrational

Step-by-step explanation:

the third root of 125 is 5.

so, it is everything of the list except for irrational.

pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

d i think

Step-by-step explanation:

Answer:

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Answer:

i am also trying to figure out a

Step-by-step explanation:

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

Answer:

True

Step-by-step explanation:

The volume of an object is the amount of matter the shape can hold, so finding how much water the tank can hold is finding the volume of the tank.

Have a great day! Hope this helps!

Answer:

True hope this helps

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even

Answer:

96

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It's correct but you don't show other answers