Please help. What would be the proper proof for this problem? Prove: line BE congruent line BD.

Answer:

2x^2 -8x

Step-by-step explanation:

2x(x-4)

Distribute

2x*x -2x*4

2x^2 -8x

The right answer is 2x^2-8x

please see the attached picture for full solution

Hope it helps

good luck on your assignment

Answer:

(a)f(0)=-3

(b)f(1)=-1

(c)f(5)=7

(d)f(6)=211

Step-by-step explanation:

[tex]f(x)=\left\{\begin{array}{ccc}2x-3, &-2\leq x \leq 5 \\x^3-5, &5<x\leq6 \end{array}\right[/tex]

(a) f(0)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 0\leq 5[/tex]

[tex]f(0)=2(0)-3=0-3\\f(0)=-3[/tex]

(b)f(1)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 1\leq 5[/tex]

[tex]f(1)=2(1)-3=2-3\\f(1)=-1[/tex]

(c)f(5)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 5\leq 5[/tex]

[tex]f(5)=2(5)-3=10-3\\f(5)=7[/tex]

(d)f(6)

For x such that [tex]5<x\leq6, f(x)=x^3-5[/tex]

[tex]f(6)=6^3-5\\f(6)=211[/tex]

Answer:

Solution,

y-x+z

=6-4.6+0.59

=6+0.59-4.6

=6.59-4.6

=1.99

Hope this helps...

good luck on your assignment

Answer:

over 90 percent said that the experience was a key influence on the direction of their lives.

Step-by-step explanation:

This is the most helpful reason to implement study abroad programs in high schools.

Answer:

C

Step-by-step explanation:

i took the test

Answer:

Marisol made $138.75 on the sale of the jacket

Step-by-step explanation:

First we are told that Fernando bought a jacket for $185, and sold it for 1 1/12 what he paid.

Therefore, 1 1/2 of 185;

= 1.5 × 185 = $277.5

Therefore, Fernando sold the Jacket for $277.5

Next, we are told that:

Marisol spent 1/5 as much as Fernando on the same jacket

This means that Marisol spent 1/5 of $185 on the jacket

= 1/5 × 185 = 0.2 × 185 = $37

Therefore, Marisol spent $37 to buy the same jacket

Next, Marisol sold the jacket for 1/2 as much as Fernando. Since Fernando sold the Jacket for $277.5, Marisol sold the jacket for 1/2 of 277.5, and this is calculated as:

1/2 of 277.5 = 0.5 × 277.5 = 138.75

Therefore, Marisol made $138.75 on the sale of the jacket.

Answer:

[tex]0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107[/tex]

[tex]0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227[/tex]

And the 95% confidence interval would be given (0.107;0.227).

Step-by-step explanation:

Information given

[tex]X= 25[/tex] number of trees with signs of disease

[tex] n= 150[/tex] the sample selected

[tex]\hat p=\frac{25}{150}= 0.167[/tex] the proportion of trees with signs of disease

The confidence interval for the true proportion would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 95% confidence interval the significance is [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2=0.025[/tex], and the critical value would be

[tex]z_{\alpha/2}=1.96[/tex]

And replacing we got:

[tex]0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107[/tex]

[tex]0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227[/tex]

And the 95% confidence interval would be given (0.107;0.227).

Answer:

(7-2x)3 =9-10x

x= -3

Step-by-step explanation:

we let the number to be x.

twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.

the result is 9 less than 10times the number which is =9-10x.

so bringing all these together we have;

(7-2x)3=9-10x.

what is the number?

solving, we have:

(7-2x)3=9-10x

21-6x=9-10x

21-9= -10x+6x

12= -4x

dividing both sides by -4 we have our number

x= -3.

for proof we can substitute x=-3 into the equation.

21-6(-3) =9-10(-3)

21+18=9+30

39=39

Answer:

[tex] \bar X \sim N (\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

Then the mean would be:

[tex] \mu_{\bar X}= 2.02[/tex]

And the deviation:

[tex] \sigma_{\bar X}= \frac{3.00}{\sqrt{45}}= 0.447[/tex]

And the distribution would be given by:

[tex] \bar X \sim N(2.02, 0.447)[/tex]

Step-by-step explanation:

For this case we can define the variable of interest X as the amount of change in UF student's pockets and we know the following parameters:

[tex] \mu = 2.02, \sigma =3.00[/tex]

And we select a sample of n=45. Since this sample size is higher than 30 we can apply the central limit theorem and the distirbution for the sample size would be given by:

[tex] \bar X \sim N (\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

Then the mean would be:

[tex] \mu_{\bar X}= 2.02[/tex]

And the deviation:

[tex] \sigma_{\bar X}= \frac{3.00}{\sqrt{45}}= 0.447[/tex]

And the distribution would be given by:

[tex] \bar X \sim N(2.02, 0.447)[/tex]

Answer:

Interquartile range IQR = 5.5

Step-by-step explanation:

Interquartile range IQR = third quartile Q3 - first quartile Q1

IQR = Q3 - Q1 ........1

arranging the data in ascending order;

1,3,5,6,6,7,8,11,12

The median of the data is the 5th number which is 6

Separating the data into two halves;

(1,3,5,6,),6,(7,8,11,12)

The first quartile Q1 is; (the median of the first half)

Q1 = (3+5)/2 = 4

The third quartile Q3 is; (the median of the second half)

Q3 = (8+11)/2 = 9.5

The interquartile range IQR can be derived using equation 1;

IQR = Q3 - Q1 = 9.5 - 4

IQR = 5.5

Answer:

[tex]\sigma = 5.5[/tex]

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution [tex]\bar X[/tex] and for this case we know that the distribution is given by:

[tex] \bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

And the standard error would be:

[tex]\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}[/tex]

And replacing we got:

[tex]\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611[/tex]

Step-by-step explanation:

For this case we know the population deviation given by:

[tex]\sigma = 5.5[/tex]

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution [tex]\bar X[/tex] and for this case we know that the distribution is given by:

[tex] \bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

And the standard error would be:

[tex]\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}[/tex]

And replacing we got:

[tex]\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611[/tex]

Answer :

34.56

I hope it helps

Answer:

120

Step-by-step explanation:

Answer:

B because when you compare y= mx+ c where M is the slope or gradient

Answer:

Step-by-step explanation:

For brand A,

Mean, x1 = (34.36 + 31.26 + 37.36 + 28.52 + 33.14 + 32.74 + 34.34 + 34.33 + 34.95)/9 = 33.44

standard deviation, s1 = √(summation(x - mean)²/n

Summation(x - mean)² = (34.36 - 33.44)^2 + (31.26 - 33.44)^2 + (37.36 - 33.44)^2 + (28.52 - 33.44)^2 + (33.14 - 33.44)^2 + (32.74 - 33.44)^2 + (34.34 - 33.44)^2 + (34.33 - 33.44)^2 + (34.95 - 33.44)^2 = 49.6338

Standard deviation = √(49.6338/9

s1 = 2.35

For brand B,

Mean, x2 = (41.08 + 38.22 + 39.59 + 38.82 + 36.24 + 37.73 + 35.03 + 39.22 + 34.13 + 34.33 + 34.98 + 29.64 + 40.60 )/13 = 36.89

Summation(x - mean)² = (41.08 - 36.89)^2 + (38.22 - 36.89)^2 + (39.59 - 36.89)^2 + (38.82 - 36.89)^2 + (36.24 - 36.89)^2 + (37.73 - 36.89)^2 + (35.03 - 36.89)^2 + (39.22 - 36.89)^2 + (34.13 - 36.89)^2 + (34.33 - 36.89)^2 + (34.98 - 36.89)^2 + (29.64 - 36.89)^2 + (40.60 - 36.89)^2 = 124.5024

Standard deviation = √(124.5024/13

s2 = 3.09

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 98% confidence interval, we would determine the z score from the t distribution table because the number of samples are small.

Degree of freedom =

(n1 - 1) + (n2 - 1) = (9 - 1) + (13 - 1) = 20

z = 2.528

x1 - x2 = 33.44 - 36.89 = - 3.45

Margin of error = z√(s1²/n1 + s2²/n2) = 2.528√(2.35²/9 + 3.09²/13) = 2.935

The 98% confidence interval is

- 3.45 ± 2.935

Answer:

a) s = (4-t)/(t^2+4)^2,   a(t) = (2t^3-24t)/(t^2+4)^3

b) s = 0.2ft, v = 0.12 ft/s,  a = -0.176 ft/s^2

c) t = 2s

d) slowing down for t < 2, speeding up for t > 2

e) 0.327 ft

Step-by-step explanation:

The position function of a particle is given by:

[tex]s(t)=\frac{t}{t^2+4},\ \ \ t\geq 0[/tex]   (1)

a) The velocity function is the derivative, in time, of the position function:

[tex]v(t)=\frac{ds}{dt}=\frac{(1)(t^2+4)-t(2t)}{(t^2+4)^2}=\frac{4-t^2}{(t^2+4)^2}[/tex]   (2)

The acceleration is the derivative of the velocity:

[tex]a(t)=\frac{dv}{dt}=\frac{(-2t)(t^2+4t)^2-(4-t^2)2(t^2+4)(2t)}{(t^2+4)^4}\\\\a(t)=\frac{(-2t)(t^2+4)-4t(4-t^2)}{(t^2+4)^3}=\frac{2t^3-24t}{(t^2+4)^3}[/tex] (3)

b) For t = 1 you have:

[tex]s(1)=\frac{1}{1+4}=0.2\ ft\\\\v(1)=\frac{4-1}{(1+4)^2}=0.12\frac{ft}{s}\\\\a(1)=\frac{2-24}{(1+4)^3}=-0.176\frac{ft}{s^2}[/tex]

c) The particle stops for v(t)=0. Then you equal equation (2) to zero ans solve the equation for t:

[tex]v(t)=\frac{4-t^2}{(t^2+4)^2}=0\\\\4-t^2=0\\\\t=2[/tex]

For t = 2s the particle stops.

d) The second derivative evaluated in t=2 give us the concavity of the position function.

[tex]\frac{d^2s}{dt^2}=a(2)=\frac{2(2)^3-24(2)}{(2^2+4)^3}=-0.062<0[/tex]

Then, the concavity of the position function is negative. For t=2 there is a maximum. Before t=2 the particle is slowing down and after t=2 the particle is speeding up.

e) Due to particle goes and come back. You first calculate s for t=2, then calculate for t=5.

[tex]s(2)=\frac{2}{2^2+4}=0.25\ ft[/tex]

[tex]s(5)=\frac{5}{5^2+4}=0.172\ ft[/tex]

The particle travels 0.25 in the first 2 seconds. In the following three second the particle comes back to the 0.172\ ft. Then, in the second trajectory the particle travels:

0.25 - 0.127 = 0.077 ft

The total distance is the sum of the distance of the two trajectories:

s_total = 0.25 ft + 0.077 ft = 0.327 ft

Answer:

ten-thousandths place

Step-by-step explanation:

You start by going to the right side of the decimal. The order is tenths, hundredths, thousandths, ten-thousandths.

Answer:

a=0.000000002

b=0.95762

c=$2800

Step-by-step explanation:

Kindly check attached picture for other calculation and the Poisson Probability Distribution for the problem.

Answer:

D

Step-by-step explanation:

because i took the test

Answer:

Option D: (9,3)

Step-by-step explanation:

Answer: 21 is the least common denominator

Step-by-step explanation:

The least common denominator of 7 and 6 is 42, but will be simplified.

The fractions would turn into 30/42 and 28/42.

Now simplify.

15/21 and 14/21

This cannot be simplified any further without losing the common denominator

Answer:

The least common denominator is 21.

Step-by-step explanation:

Put the fractions out of a denominator of 42

5/7 = 30/42          4/6 = 28/42

Divide both fractions by 2

35/42 = 15/21       4/6 = 14/21

Answer:

Step-by-step explanation:

A quadrilaterals are plane figures bounded by four sides. Examples are; square, rectangle, parallelogram, kite, trapezium etc.

Given: parallelogram WXYZ

           ZX ≅ WY

Prove: WXYZ is a rectangle

WZ ≅ XY (opposite sides property)

YZ ≅ WX (opposite sides property)

<WZY ≅ <ZWX ≅ <WXY ≅ <XYZ = [tex]90^{0}[/tex] (angle property of a rectangle)

<YZW ≅ <WXY (opposite angles are congruent)

ΔZYW ≅  ΔXTW (Side-Angle-Side property)

ZX ≅ WY

Therefore, the parallelogram is a rectangle.

Answer: This is the right answer

Step-by-step explanation:

Below

Answer:

x = 37.4

Step-by-step explanation:

Answer:

37.4

Step-by-step explanation:

If you plug in 157, we get 5x-157=30. Then we will add 157 to both sides to get 5x=187 and then divide by 5 on both sides leaving x on one side and the answer on the other so, 187/5=37.4.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

$0.95 per song.

Step-by-step explanation:

If it is $6.65 for 7 songs, divide that cost by the number of songs and you get the unit rate. Hope this helps!

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

Answer:

544

Step-by-step explanation:

It is right on Khan academy so I hope this helps!!!

Answer:

f(x) has a slope of -1 and has a range of all real numbers.

Step-by-step explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

[tex]0 = - x-24[/tex]

[tex]x = -24[/tex]

f(x) has a x-intercept of (-24,0).

y-Intercept

[tex]f(x) = 0 - 24[/tex]

[tex]f(x) = -24[/tex]

f(x) has a y-intercept of (0, -24).

Lastly, the linear function has a slope of -1.

Answer:

D AND E

Step-by-step explanation:

edu I took it

Answer:

4( x+6) (x-1)

Step-by-step explanation:

4x^2+20x-24

Factor out the greatest common factor

4(x^2 +5x-6)

What 2 numbers multiply to -6 and add to 5

6*-1 = -6

6+-1 = 5

4( x+6) (x-1)

Answer:

[tex]4(x-1)(x+6)[/tex]

Step-by-step explanation:

→Take out the GCF (Greatest Common Factor), which is 4:

[tex]4x^2+20x-24[/tex]

[tex]4(x^2+5x-6)[/tex]

→Split the middle term into two numbers that can be added to get 5 and multiplied to get 6:

[tex]4(x-1)(x+6)[/tex]

Answer:

  -1

Step-by-step explanation:

The average rate of change is the ratio of the difference in y-values to the difference in x-values of corresponding points.

At x=-1, f(x) = (-1)^2 -(-1) -1 = 1

At x=1, f(x) = (1)^2 -(1) -1 = -1

So, points on the graph are (-1, 1) and (1, -1).

Then the change in y over that interval is -1 -1 = -2.

The change in x over that interval is 1 -(-1) = 2.

The average rate of change is ...

  ∆y/∆x = -2/2 = -1 . . . . average rate of change on (-1, 1)

Answer: 5

Step-by-step explanation:

sqrt of 100 = 10

10/2 = 5

Answer:

3.17% probability of selecting first a green apple and then a nectarine.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

P(a green apple then a nectarine)

This is the probability of selecting first a green apple and then a nectarine.

Initially, there are 8+11+5+12 = 36 fruits, of which 8 are green apples. So 8/36 probability of choosing a green apple.

Now, there are 35 fruits, of which five are nectarines. So 5/35 probability of choosing a nectarine.

Then

[tex]p = \frac{8}{36}\times\frac{5}{35} = 0.0317[/tex]

3.17% probability of selecting first a green apple and then a nectarine.

Answer:

Step-by-step explanation:

Answer:

20.7 miles

Step-by-step explanation:

[tex]2(5.4)+2t=52.2 \\\\10.8+2t=52.2 \\\\2t=41.4 \\\\t=20.7[/tex]

Hope this helps!

Given:

To find out:

Find the value of t ?

Formula used:

Perimeter = 2 ( length + Breadth )

Solution:

We know that,

Perimeter = 2 ( length + Breadth )

☆ Substituting the values in the above formula,we get

=> 52.2 = 2 ( 5.4 + t )

=> 52.2 = 10.8 + 2t

=> 2t = 52.2 - 10.8

=> 2t = 41.4

=> t = 41.4/2

=> t = 20.7