The point A(−8,−4) is reflected over the origin and its image is point B. What are the coordinates of point b?

Answer:

8

Step-by-step explanation:

9514 1404 393

Answer:

  r = 18

Step-by-step explanation:

Let d represent the number of districts. The given information lets us write two equations:

  3d = 27 . . . . . the number of state senators

  d +r = 27 . . . . the number of representatives

The first equation tells us ...

  d = 27/3 = 9

The the second equation tells us ...

  r = 27 -d = 27 -9 = 18

The number of at-large representatives is r = 18.

Answer:

1. What is 0.252525 as a fraction?

0.252525 as a fraction equals 252525/1000000

2. 2.454545 as a fraction equals 2454545/1000000

Step-by-step explanation:

To write 0.252525 as a fraction you have to write 0.252525 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.252525 = 0.252525/1 = 2.52525/10 = 25.2525/100 = 252.525/1000 = 2525.25/10000 = 25252.5/100000 = 252525/1000000

And finally we have:

0.252525 as a fraction equals 252525/1000000

2. What is 2.454545 as a fraction?

To write 2.454545 as a fraction you have to write 2.454545 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.454545 = 2.454545/1 = 24.54545/10 = 245.4545/100 = 2454.545/1000 = 24545.45/10000 = 245454.5/100000 = 2454545/1000000

And finally we have:

2.454545 as a fraction equals 2454545/1000000

Thanks

Answer:

6000 hope this helps

if the question is 5,422 then the round figure is 5000

but the question is 5,821 its above 5500 will be 6000

Answer:

send me again I can't understand question

9514 1404 393

Answer:

  x = 14 cm

Step-by-step explanation:

We can only solve for x if the triangles are similar. The arrows on the left and right legs say those are parallel. Since alternate interior angles at each of the transversals are congruent, the triangles are AA similar.

ΔABC ~ ΔDEC, so we have ...

  EC/ED = BC/BA

  x/(18 cm) = (35 cm)/(45 cm)

  x = (18 cm)(7/9) = 14 cm

Answer:

I think it is 3 miles becos the bicycle broke at 15miles per hour and the walk from the current place to the TBLS is 3 miles per hour

Answer:

(a)

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

(b)

[tex]P(2) = 640[/tex]

(c)

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

(d)

[tex]Volume = 640[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Solving (a): The prism dimension

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Factor out 8x

[tex]P(x) = 8x(6x^2 + 7x + 2)[/tex]

Expand 7x

[tex]P(x) = 8x(6x^2 + 4x + 3x + 2)[/tex]

Factorize

[tex]P(x) = 8x(2x(3x + 2) +1( 3x + 2))[/tex]

Factor out 3x + 2

[tex]P(x) = 8x(3x + 2)(2x + 1)[/tex]

So, the dimensions are:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Solving (b): The volume when [tex]x = 2[/tex]

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

[tex]P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2[/tex]

[tex]P(2) = 640[/tex]

Solving (c): The dimensions when [tex]x = 2[/tex]

We have:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Substitute 2 for x

[tex]Length=8*2[/tex]

[tex]Length= 16[/tex]

[tex]Width = 3*2+2[/tex]

[tex]Width = 8[/tex]

[tex]Height = 2*2 + 1[/tex]

[tex]Height =5[/tex]

So, we have:

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

Solving (d), the volume in (c)

We have:

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

[tex]Volume = 16 * 8 * 5[/tex]

[tex]Volume = 640[/tex]

Answer:

17000

Step-by-step explanation:

17^1 * 10^3

17 * 10*10*10

17*1000

17000

the answer is 17,000

the exponent shows how many times you multiply the number by itself

here is an image for an explanation

hope I helped ❤

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

Additional comment

The investment value at that time will be about $5.269·10^434. (That's a larger number than anything countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

1 & 2:The null and alternate hypotheses are

H0 : u = 16 vs Ha: u < 16

The null hypothesis is that the mean is 16 ounces against the claim that it is less than 16 ounces.

3:The significance level is 0.05

4. Critical Value:

The critical region for significance level = 0.05  for one tailed test is z< ± 1.645

5.The test statistic

The test statistic to be used is

z= x- μ/σ/√n

z= 15.8-16/0.32/√20

z= -0.2/ 0.071556

z= -2.7950

6. The p-value ≈ 0.00259 for one tailed test.

7. Reject H0

Since the calculated value of z= -2.7950 is less than z∝= -1.645  we reject the null hypothesis.

8. Conclusion:

There is enough evidence to  support the inspector's claim that the mean number of ounces of coffee in the jars.

https://brainly.com/question/15980493

Graph

Answer:

y=3 and x=3*sqrt(3)

Step-by-step explanation:

sin(30)=y/6

1/2=y/6, y=3. As it's a right angled triangle, 6^2-3^2=x^2, x=3*sqrt(3)

Answer:

x = 3 sqrt(3)

y = 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = y /6

6 sin 30 = y

6 (1/2) = y

3 = y

cos theta = adj / hyp

cos 30 = x /6

6 cos 30 =x

6 ( sqrt(3)/2) =x

3 sqrt(3) = x

Answer:

A. 0; 1

Step-by-step explanation:

Required

Mean and standard deviation of a standardized normal distribution

A standardized normal distribution is represented as:

[tex](\mu,\sigma) = (0,1)[/tex]

This implies that:

[tex]\mu = 0[/tex] -- mean

[tex]\sigma = 1[/tex] --- standard deviation

Hence, (a) is true

Answer:

A. 32.44

Step-by-step explanation:

Automobile owner has 40% chance for one accident in a year and 60% of zero accident in a year.

Let x is the loss of accident and y is the payment by insurer.

Y = 0 if X < 40,

x - 40 if 40 < x < 130

130 if x [tex]\geq[/tex] 170

Then, Var [y] = E y^2

Var [y] = 1052.16

E = 32.437.

Answer:

48 m^3

Step-by-step explanation:

If the scale factor of linear dimensions between two solids is k, then the scale factor for areas is k^2, and the scale factor of volumes is k^3.

Let's call the solid with 16 m^2 of area solid A, and the other one solid B.

The scale factor of areas from, A to B is (100 m^2)/(16 m^2) = 25/4

In other words, multiply the area of the solid A by 25/4 to get the area of solid B.

Let's check: 16 m^2 * 25/4 = 16 * 25/4 m^2 = 4 * 25 m^2 = 100 m^2

We do get 100 m^2 for solid B, so the area scale factor of 25/4 is correct.

The area scale factor is k^2, so we have:

k^2 = 25/4

We solve for k:

k = 5/2

Now we cube both sides to get k^3, the scale factor of volumes.

k^3 = 5^3/2^3

k^3 = 125/8

Let V = volume of smaller solid, solid A.

V * 125/8 = 750 m^3

V = 750 * 8/125 m^3

V = 48 m^3

Answer:

The key difference between simple interest and compound interest is that in simple interest, the interest is calculated based on the principal amount of the loan.

The formula is principal multiplied by time by rate divided by 100.

Compound interest on the other hand, has to do with the principal amount and accumulated interest on previous periods.

The difference affects the effectiveness of each because in SI, interest is calculated once, while in CI, there's accumulated interest.

Answer:

The distance from the vertex to the directrix.

Step-by-step explanation:

According to this question, we are speaking about a parabola, which has the characteristic that the distance from the vertex to the focus is equal to the least distance from the vertex to the directrix.

Hence, the right answer is: The distance from the vertex to the directrix.

Answer:

[tex]f(0) = -1[/tex]

[tex]f(\pi) = 1[/tex]

Domain: All real numbers

[tex]Range = [-1,1][/tex]

Step-by-step explanation:

Given

The attached graph

Solving (a): f(0)

On the attached graph

[tex]f(x) = -1[/tex] when [tex]x =0[/tex]

So:

[tex]f(0) = -1[/tex]

Solving (b): f(pi)

On the attached graph

[tex]f(x) = 1[/tex] when [tex]x =\pi[/tex]

So:

[tex]f(\pi) = 1[/tex]

Solving (c): Domain

There is no restriction on x.

Hence, the domain is the set of all real numbers

Solving (d): Range

In the attached graph

[tex]y_{min} = -1[/tex]

[tex]y_{max} = 1[/tex]

So, the range is:

[tex]Range = [-1,1][/tex]

Answer: $5,040 & $5,085

Step-by-step explanation:

The expected value of the Computer Co. stock is $5,040, and the expected value of the US Treasury bond is $5,085

The expected value of both the stocks Computer Co. and  US Treasury bond is  $5,062.5.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

The expected value is the weighted average also known as the mean.

Given, The expected value of the Computer Co. stock is $ 5,040, and the expected value of the US Treasury bond is $ 5,085.

Therefore the expected value of both stocks is,

= (5040 + 5085)/2.

= $5,062.5

learn more about expected values here :

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#SPJ2

Answer:

200 + 2

Step-by-step explanation:

you know that two (2) negatives multiplying each other is = +

=200 +2

=202

Answer:

524m

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+1}{5}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 5x - 1 ( add 1 to both sides )

y + 1 = 5x ( divide both sides by 5 )

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

Change y back into terms of x , with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{5}[/tex]

Step-by-step explanation:

I'm not sure about it

Try it find examples

Step-by-step explanation:

so at the end 2=1

not sure but hopefully you get the idea :)

Real numbers can be expressed using the following interval,

[tex]\mathbb{R}=(-\infty,\infty)[/tex]

Of course infinities are not just normal infinities but thats out of the scope of this question.

Real numbers less than two can be expressed with,

[tex](-\infty,\infty)\cap(-\infty,-2)=\boxed{(-\infty,-2)}[/tex]

The [tex]\cap[/tex] is called intersection ie. where are both intervals valid. First we took real numbers then we intersected them with real numbers valued less than -2 and we got real numbers which are less than -2.

Similarly we can perform with "greater than or equal to 3" real numbers,

[tex](-\infty,\infty)\cap[3,\infty)=\boxed{[3,\infty)}[/tex]

So we have one interval stretching from negative infinity to (but not including) -2, and another interval stretching from including 3 to positive infinity.

If we want numbers in both intervals we can express this two ways,

First way is to use [tex]\cup[/tex] union operator to denote we want numbers from two intervals,

[tex]\boxed{(-\infty,2)\cup[3,\infty)}[/tex]

The second way is to specify which numbers we do not want, we do not want -2 and everything up to but not including 3, which is expressed with the following interval

[tex][-2,3)[/tex]

Now we just take out the not wanted interval from real numbers and we will remain with all wanted numbers,

[tex]\boxed{(-\infty,\infty)-[-2,3)}[/tex]

Hope this helps.

Answer:

B.) 317

Step-by-step explanation:

100/2 = 50

124/2 = 62

180/2 = 90

634/2 = 317

Answer:

[tex] \cos(z) = \frac{30}{34} [/tex]