I don’t understand? Please help!

I Dont Understand? Please Help!

Answers

Answer 1
The answer is actually b

Related Questions

A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $143 and a standard deviation of $8. If the distribution can be considered mound-shaped and symmetric, what percentage of homes will have a monthly utility bill of more than $135? Write your answer exclude the percentage. (Exp. if your answer is 12%, then input as 12)

Answers

Answer:

84.13.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For this question:

[tex]\mu = 143, \sigma = 8[/tex]

What percentage of homes will have a monthly utility bill of more than $135?

This is 1 subtracted by the pvalue of Z when X = 135. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{135 - 143}{8}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

1 - 0.1587 = 0.8413

84.13% of homes will have a monthly utility bill of more than $135. Excluding the percentage, the answer is 84.13.

The perimeter of a rectangle whose sides are lengths(3z+2) units and(2z+3)units

Answers

Answer:

P = 10z + 10 units.

Step-by-step explanation:

To find the perimeter of a rectangle, you can use the formula P = 2l + 2w.

If one side is '3z + 2' and the other is '2z + 3', we can plug these into the equation:

P = 2(3z + 2) + 2(2z + 3).

Distributing the 2's gives us:

P = 6z + 4 + 4z + 6

Combine like terms, resulting in the final answer:

P = 10z + 10 units.

Mme.​ Giselle's boutique in​ Cleveland, Ohio is planning to sell a Parisian frock. If the public view it as being the latest​ style, the frocks will be worth ​$10 comma 000. ​ However, if the frocks are viewed as​ passe, they will be worth only ​$2 comma 000. If the probability that they are stylish is 10​%, what is the expected value of the​ frocks? The expected value of the frocks​ (EV) is EVequals​$ nothing. ​(Enter your response rounded to two decimal​ places.)

Answers

Answer:

the expected value of the frocks​ (EV) is 2800

Step-by-step explanation:

the expected value of the frocks= (probability of stylish* worth)+(probability of passe* worth)

If the public view it as being the latest​ style, the frocks will be worth ​$10,000. ​

if the frocks are viewed as​ passe, they will be worth only ​$2,000.

If the probability that they are stylish is 10​%

probability of stylish = 10000

worth = 10%

probability of passe = 2000

[tex]=10 \%*10000+(1-10 \%)*2000\\\\=0.1\times 10000+(1-0.1)\times2000\\\\=1000+(0.9)\times2000\\\\=1000+1800\\\\=2800[/tex]

Therefore, the expected value of the frocks​ (EV) is 2800

A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacitance will the current be (a) 1.04 ampere lagging and (b) 1.04 ampere leading?

Answers

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

2*pi*f*L = Xl

6.28*400*.143 = 359.2 ohm

1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

There are 7 more black than red markers in a box. If the total number of markers is 63, how many black markers are there?

Answers

Answer: 35

Step-by-step explanation: Let me know if you need an explanation.

Answer:

37

Step-by-step explanation:

Split and fill the difference

33 black

30 red

there is only a difference of three so you'll need to add and take a total of 4. to make up for the needed difference for 7.

33+2=35 black

30-2=28 red

The radius of the inscribed circle is cm, and the radius of the circumscribed circle is cm.

Answers

The complete question is;

Instructions:Select the correct answer from each drop-down menu.

The side length of the square in the figure is 8 cm.

The radius of the inscribed circle is [ (32)^(1/2), 16, 4, 32 ] cm, and the radius of the circumscribed circle is [ (32)^(1/2), 2(32)^(1/2), (128)^(1/2), 128 ] cm.

Image is attached.

Answer:

Radius of inscribed circle = 4 cm

Radius of circumscribed circle = 32^(1/2) cm

Step-by-step explanation:

The square has a side of 8cm.

Thus,the diameter of the inscribed circle would be same as a side of the square.

So, if diameter = 8cm, then, radius of inscribed = 8/2 = 4cm

Now, to the circumscribed circle, the diagonal of the square would be the diameter of the circumscribed circle. It can be calculated with Pythagoreas theorem.

So, d² = 8² + 8²

d² = 64 + 64

d² = 128

d = √128

Expressing it in surd form gives;

d = √32 x √4

d = 2√32 cm

So radius of circumscribed circle = (2√32)/2 = √32 cm or 32^(1/2) cm

Answer:

4 and 32^1/2

Step-by-step explanation:

i just did it on plato :))

Help ASAP

Jamal and Diego both leave the restaurant at the same time, but in opposite directions. If Diego travels 7 mph faster than Jamal and after 4 hours they are 68 miles apart, how fast is each traveling?

Answers

Answer:

Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.

Step-by-step explanation:

Jamal's speed is of x mph.

Diego's speed is of (x + 7) mph.

Opposite directions.

This means that each hour, they will be x + x + 7 = 2x + 7 miles apart.

After 4 hours they are 68 miles apart, how fast is each traveling?

Using a rule of three.

1 hour - 2x + 7 miles apart.

4 hours - 68 miles apart.

[tex]4(2x + 7) = 68[/tex]

[tex]8x + 28 = 68[/tex]

[tex]8x = 40[/tex]

[tex]x = \frac{40}{8}[/tex]

[tex]x = 5[/tex]

Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.

) Solve the equation 3x²-7x-6=0 by completing the square method​

Answers

Answer:

x=3

Step-by-step explanation:

[tex]3x^{2}[/tex]-7x-6=0

9x-7x-6=0

=9x-7x=0+6=6

2x=6

x=6/2=3

Please answer this math question im desperate!! Will give brainliest!!

Answers

Answer:

Step-by-step explanation:

a ) the graph for a) is attached

y= -2x+5

when x=0, y=5 and when y=0, x=2.5

b) 4x-3y+9=0

  -3y= -9-4x

      y= 4/3 x+3

what is the most abundant gas in the Earth's atmosphere?

Answers

Answer:

Nitrogen

Step-by-step explanation:

Nitrogen and oxygen are by far the most common; dry air is composed of about 78% nitrogen (N2) and about 21% oxygen (O2). Argon, carbon dioxide (CO2), and many other gases are also present in much lower amounts; each makes up less than 1% of the atmosphere's mixture of gases. Hope this helped!

Suppose that the probability of a drought in any independent year is 20%. Out of those years in which a drought occurs, the probability of water rationing is ten percent. However, in any year, the probability of water rationing is five percent.
Which of the following is true?
a. 0.01
b. 0.05
c. 0.30
d. 0.02

Answers

Answer:

the correct option is d. 0.02

Step-by-step explanation:

We have the following events:

x: A drought occurd

y: Water rationing.

Therefore, according to the plaster we have:

P [x] = 0.20

P [y | x] = 0.10

Now P [it is a drought and water rationing happens] =

P [x n y] = P [y | x] * P [x] = 0.10 * 0.20 = 0.02

Which means that the correct option is d. 0.02

What is the value of y when x = 0? When x = 0, y =

Answers

Answer:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

Step-by-step explanation:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

When x equals 0(plug in 0 for x) then y would equal to 0

f(x) = x2 + 1
g(x) = 5-x
(f+g)(x) =
O x2 + x-4
x²+x+4
O x2-x+6
O x2 + x + 6

Answers

Answer:

[tex] \boxed{(f + g)(x) = {x}^{2} - x + 6} [/tex]

Given:

[tex]f(x) = {x}^{2} + 1 \\ \\ g(x) = 5 - x[/tex]

To Find:

[tex](f + g)(x) = f(x) + g(x)[/tex]

Step-by-step explanation:

[tex] = > f(x) + g(x) = ({x}^{2} + 1) + (5 - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 1 + 5 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 6 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} - x + 6[/tex]

PLEASE ANSWER QUICKLY! THANK YOU :)

Answers

It’s not b or d so it’s either a or c. Hope this helped

Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To make the < symbol, you might want to use the < with the underline feature.

Answers

Step-by-step explanation:

Given that n! = n(n - 1)(n - 2)(n - 3)...2×1

We want to show that 2n - 1 ≤ n!

Since

n! = n(n - 1)(n - 2)(n - 3)...2×1

= n(n - 1)!

n! = n(n - 1)(n - 2)!

n! = (n² - n)(n - 2)!

From here obviously,

n! ≥ n

n! ≥ 2n

And

n! ≥ 2n - 1

Which implies

2n - 1 ≤ n!

What is the range of this function?

{-4,1,7,15}
{-1,4,8,18}
{-4,-1,1,4,7,8,15,18}
{-4,-1,15,18}​

Answers

Answer:

{-4,-1,1,4,7,8,15,18}

Step-by-step explanation:

The range of this function is a universal set that contains all elements of each set

And is;

{-4,-1,1,4,7,8,15,18}

Answer: its actually (-4, 1, 7, 15)

Step-by-step explanation:

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

Answers

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

[tex]\frac{y}{z} = \frac{4}{11}[/tex]

So

[tex]11y = 4z[/tex]

[tex]y = \frac{4z}{11}[/tex]

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

[tex]\frac{x}{y} = \frac{13}{9}[/tex]

[tex]9x = 13y[/tex]

[tex]x = \frac{13y}{9}[/tex]

All of them is 100%

This means that:

[tex]x + y + z = 1[/tex]

We need to find z.

[tex]y = \frac{4z}{11}[/tex]

[tex]x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}[/tex]

Then

[tex]x + y + z = 1[/tex]

[tex]\frac{52z}{99} + \frac{4z}{11} + z = 1[/tex]

The lcm(least common multiple) between 11 and 99 is 99. Then

[tex]\frac{52z + 9*4z + 99z}{99} = 1[/tex]

[tex]187z = 99[/tex]

[tex]z = \frac{99}{187}[/tex]

[tex]z = 0.5294[/tex]

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

does anyone know the answer for dis problem?​

Answers

x = # of CDs Walter has

3x - number of CDs Brian has

144 - total

x + 3x = 144

4x = 144

x = 144/4

x = 36

Answer: D. 36

Answer:

D.36

Step-by-step explanation:

X+3X=144

4X=144 (THEN DIVIDE BOTH SIDES B 4)

X=144/4=36

Awnser on the lowest terms 2 hours 45 minutes + 3 hours 35 minutes

Answers

Step-by-step explanation:

2 hrs 45 min + 3 hrs 35 min

= 5 hrs 80 min

60 min = 1 hr

*80 min = 1 hr + 20 min

5hrs 80 min

= 5 hrs + 1 hr + 20 min

= 6 hrs 20 min

Answer:

6 hour 20 minutes

Step-by-step explanation:

Add the two time measurements separately.

2 hours  +  3 hours  =  5 hours

35 minutes  +  45 minutes  =  80 minutes

Now, simplify the measurements to the lowest terms.  You can simplify the minutes by subtracting 60 from the value.  60 minutes is 1 hour.  The number you get after subtracting is how many minutes there are.

80 - 60 = 20

80 minutes  =  1 hour 20 minutes

Now add the two measurements together.

5 hours  +  1 hour 20 minutes  =  6 hour 20 minutes

[Pic] The figure shows the location at which a slice is taken of a prism with base of an equilateral triangle. What will be the shape of the two-dimensional slice obtained?
A. Hexagon
B. Triangle
C. Square
D. Rectangle

Answers

Answer:

It would be B = Triangle because look where it’s cut sliced in half in a piece on top , it has three angles and a triangle has three angles so it’s B , Hope this helped :) brainliest will be appreciated

1
TIN
10
Which inequality represents the same ages?
The inequality graphed below represents the ages, a, of
players on a baseball team
10 11 12 13 14 15 16 17 18 19 20
0 12 0 12 sa < 18
0 12 >as 18
12 a < 18

Answers

Answer: the last 1/ 12 a < 18

Step-by-step explanation:

The base of a rectangular prism has an area of 12 square cm. The height of the rectangular prism is 3. What is the volume in cubic cm of this rectangular prism

Answers

Answer:

volume = 36 cm³

Step-by-step explanation:

The volume of a rectangular prism = lwh

where

w = width

l = length

h = height

The base of a rectangular prism is a rectangle and the area of a rectangle is the product of length and width. Therefore,

base area of the rectangular prism = length × width

base area = lw

Base area of the rectangular prism =  12 cm²

Recall, the formula of the volume of a rectangular prism is the product of the length, width and height.

volume  = lwh

substitute lw value in the formula above

volume = 12 × 3

volume = 36 cm³

How do I find x to the nearest tenth?

Answers

Answer:

x=24.8

Step-by-step explanation:

Your answer would be X equals 24.8 ! Hope this helps

Suppose the nightly rate for a hotel in Rome is thought to be bell-shaped and symmetrical with a mean of 138 euros and a standard deviation of 6 euros. The percentage of hotels with rates between 120 and 144 euros is

Answers

Answer:

The percentage of hotels with rates between 120 and 144 euros is 84%.

Step-by-step explanation:

We know that the distribution of the nightly rate for a hotel in Rome is bell shaped with a mean of 138 euros and a standard deviation of 6 euros.

We want to know the proportion of hotels between 120 and 144 euros.

We can approximate the distribution to a normal distribution and calculate the z-score for both boundaries:

[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{120-138}{6}=\dfrac{-18}{6}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{144-138}{6}=\dfrac{6}{6}=1[/tex]

Then, we can calculate the proportion as the probability of having rates between 120 and 144:

[tex]P=P(120<X<144)=P(-3<z<1)\\\\P=P(z<1)-P(z<-3)\\\\P=0.8413-0.0013\\\\P=0.8400[/tex]

Then, we can conclude that the percentage of hotels with rates between 120 and 144 euros is 84%.

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find a sample mean weight of 15 grams with a standard deviation of 1.5 grams. What is the standard deviation of sample mean

Answers

Answer:

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

And the standard deviation for the sample mean would be given by:

[tex] \sigma_{\bar X}= \frac{1.5}{\sqrt{25}}= 0.3[/tex]

Step-by-step explanation:

For this case we know that the amount of cheese inserted into the ravioli is normally distributed. And we have the following info given;

[tex] \bar X =15[/tex] the sample mean

[tex]s= 1.5[/tex] the sample deviation

[tex] n=25[/tex] the sample size

And for this case we know that the sample size is large enough in order to apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sample mean would be given by:

[tex] \sigma_{\bar X}= \frac{1.5}{\sqrt{25}}= 0.3[/tex]

Of 375 randomly selected students, 30 said that they planned to work in a rural community. Find 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.

Answers

Answer:

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 375, \pi = \frac{30}{375} = 0.08[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075[/tex]

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

The proportion of items in a population that possess a specific attribute is known to be 0.40. If a simple random sample of size 100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.46​, what is the sampling​ error?

Answers

Answer:

The sampling error =  0.06

Step-by-step explanation:

From the given information:

Let represent [tex]\beta[/tex] to  be the population proportion = 0.4

The sample proportion be P = 0.46   &

The sample size be n = 100

The population standard duration can be expressed by the relation:

Population standard duration [tex]\sigma = \sqrt{\dfrac{\beta(1- \beta)}{n}}[/tex]

[tex]\sigma = \sqrt{\dfrac{0.4(1-0.4)}{100}}[/tex]

[tex]\sigma = \sqrt{\dfrac{0.4(0.6)}{100}}[/tex]

[tex]\sigma = 0.049[/tex]

The sample proportion = 0.46

Then the sampling error  = P - [tex]\beta[/tex]

The sampling error  = 0.46 - 0.4

The sampling error =  0.06

Find the product (4x^2+2)(6x^2+8x+5)

Answers

Answer:24x^4+32x^3+32x^2+16x+10

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]= 24 {x}^{4} + 32 {x}^{3} + 32 {x}^{2} + 16x + 10 \\ [/tex]

Step-by-step explanation:

[tex](4 {x}^{2} + 2)(6 {x}^{2} + 8x + 5) \\ 4 {x}^{2} (6 {x}^{2} + 8x + 5) + 2(6 {x}^{2} + 8x + 5) \\ 24 {x}^{4} + 32 {x}^{3} + 2 0{x}^{2} + 12 {x}^{2} + 16x + 10 \\ = 24 {x}^{4} + 32 {x}^{3} + 32{x}^{2} + 16x + 10 \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the values of p for which the following integral converges:
∫[infinity]e 1/(x(ln(x))^p)dx
Input youranswer by writing it as an interval. Enter brackets or parentheses in the first and fourth blanks as appropriate, and enter the interval endpoints in the second and third blanks. Use INF and NINF (in upper-case letters) for positive and negative infinity if needed. If the improper integral diverges for all p, type an upper-case "D" in every blank.
​Values of p are in the interval ,
For the values of p at which the integral converges, evaluate it. Integral =

Answers

Answer:

Step-by-step explanation:

Find the values of p for which the following integral converges:

∫[infinity]e 1/(x(ln(x))^p)dx

Input youranswer by writing it as an interval. Enter brackets or parentheses in the first and fourth blanks as appropriate, and enter the interval endpoints in the second and third blanks. Use INF and NINF (in upper-case letters) for positive and negative infinity if needed. If the improper integral diverges for all p, type an upper-case "D" in every blank.

​Values of p are in the interval ,

For the values of p at which the integral converges, evaluate it. Integral =

Recall that

[tex]\int\limits^{\infty}_1 \frac{1}{x^p} dx[/tex]

converge if p > 1  and converge to [tex]\frac{1}{p-1}[/tex] and divertgent if p ≤ 1

Now, let u = Inx ⇒ du = 1/x dx

: e ≤ x ≤ ∞ ⇒ 1 ≤ u < ∞

⇒ [tex]\int\limits^{\infty}_e \frac{dx}{x(Inx)^p} = \int\limits^{\infty}_1 {x} \frac{du}{u^p}[/tex]

converge if p > 1  and converge to [tex]\frac{1}{p-1}[/tex] and divertgent if p ≤ 1

[tex]\text {Integral}=\frac{1}{p-1}[/tex]

which expression is equivalent to (x^1/2y^-1/4z)^-2?

Answers

Answer:

y^1/2/xz^2 option 3

Step-by-step explanation:

(x^1/2 y^-1/4 z)^-2= x^(-1/2*2) y^(1/4*2) z^-2= x^-1 y^1/2 z^-2= y^1/2/xz^2

Answer: C y^1/2/xz^2

Step-by-step explanation:

I checked with my calculator.

Other Questions
eeeeeeeeeeeeeeeeeeeee question in picture Find the surface area of the cylinder. Round your answer to the nearest tenth. Diameter: 6 Height: 12 Read and choose the option with the correct answer. Soy Leonardo y vivo en Orlando, Florida, pero soy de Puerto Rico. Cuando era pequeo, los fines de semana por la maana, me gustaba ayudar a mi abuelo cuando iba a recoger caa de azcar. Based on the text and what you learned in the lesson, what could Leonardo have learned from his grandfather? To brew coffee To make clothing To make tembleque and flan To share crops with neighbors y+3 7/15 =12 14/15 8/15 Solve the equation. Elizabeth's minimum monthly payment on her credit card is the higher of 2.5%or $12. If her balance at the end of the month is $5800, what is the minimumamount Elizabeth must pay to keep her account in good standing?O A. $25O B. $12OC. $45O D. $580 Read the attachment. En donde esta puerto Maldonado? Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 25 grams of C is formed in 8 minutes. How much (in grams) is formed in 16 minutes What do the Denarius of Julius Caesar, Augustus of Primaporta, and Emperor Justinian and His Attendants have in common? Two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 + 2t, 1 + 6t, 1 + 14t . Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = (smaller x-value) (x, y, z) = (larger x-value) Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = How was Germanic law, with its use of trial by ordeal, a step backwards for Western Europe?A .Germanic law was less effective in promoting prosperity than Roman law.B .Germanic law required the use of more judges and lawyers than Roman law.C .Germanic law could be applied to fewer classes of people than Roman law.D .Germanic law was not based on the use of reason or evidence to determine guilt. What is the measure of angle ABC to the nearest degree? PLEASE HELP 3.How can businesses use behavioral tracking as part of their marketing strategy? 5a) Mr. Birkway reads the class' summer journals aloud, changing the names around so as not to reveal anyone's true identity. Which journal entry alarms Mr. Birkway the most?A)The entry about Linda, who tells her friend everything, such as what her dad wears to bed.B)The entry about Jermiah, who is a pig-headed je.rk with pink skin and clean, shiny hair.C)The entry about a Mrs. Corpse, who is believed to have murdered her husband and buried his body.D)The entry about a girl who threw her arms around a tree and kissed it, when she then detected a a small, dark stain. if k (x) = 5x - 6, which expression is equivalent to (k + k) (4) Structures in plant leaves open and close to maintain homeostasis are called To convert 120 ounces to pounds which of g 1. An ideal gas is confined to a container with adjustable volume. The number of moles, n, and temperature, T, are constant. By what factor will the volume change if pressure decreases by a factor of 8.5 Hint: pV A rectangular swimming pool is 19 m wide by 35 m long. what is the length of the diagonal of the pool round to the nearest 10th Which is most likely to influence the properties of an element? *-its atomic mass-its atomic number-the number of outer electroms-the number of isotopes