A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?

a. y equals negative one-half times x plus 5
b. y equals negative one-half times x plus 1
c. y = 2x + 10
d. y = 2x − 14
PLEASE HELP

Taking into account the rule of three, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, the direct rule of three must be applied as follow, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x= (c×b)÷a

You can apply the following rule of three: if 1 atom of gold has a mass of approximately 3.25×10⁻²² grams, 4000 atoms of gold have how much mass?

mass= (4000 atoms× 3.25×10⁻²² grams)÷ 1 atom

mass= 1.3×10⁻¹⁸ grams

Finally, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

Learn more about rule of three and mass of a number of atoms:

brainly.com/question/2321479

brainly.com/question/23508430

#SPJ1

Answer:

x^2 + 15

Step-by-step explanation:

All the other answers are wrong

Answer:42/80

Step-by-step explanation:

We know that the shop only buys abanans with lengths between 13 cm and 20 cm.So, the fraction of the 80 bananas is actually a ratio between the y-values of each lenth (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.Notice that 13 belons to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).This fraction means that the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

In descriptive statistics, the interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution that's ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.

We know that the shop only buys bananas with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80.

First, let's see which y-values belong to each length.

Notice that 13 belongs to 20 at Cumulative Frequency.

And 20 belongs to 62.

So, the pairs are (13,20) and (20,62).

This fraction means that the shop only buys 42 bananas out of 80,

because those are between 13 cm and 20 cm.

Hence, The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

learn more on interquartile range click:

https://brainly.com/question/27521634

#SPJ2

The transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3 is f(x) shifting right 7 units

This is further explained below.

Generally, the equation for vertex form is  mathematically given as

g(x) = 2(x – 7)2 – 95

Using the translations rule:

The conclusion that can be drawn from the vertex form " 2(x – 7)2 – 95" is that the parent function f(x) has been relocated 7 units to the right and 91 units upward.

In conclusion, we can say that f(x) shifted right 7 units

Read more about the translations rule:

https://brainly.com/question/19007400

#SPJ1

The standard form given of the function is x² - 12x - 45.

A quadratic equation has the conventional form ax2 + bx + c = 0, where an is the leading coefficient and a real integer that is not zero.

The quadratic equation ax2 + bx + c = 0 has the conventional form, where a 0 and a, b, and c are real values.

The given function is -

(x−6)²=81

⇒ x² + 36 - 12x = 81

⇒ x² - 12x = 81 - 36

⇒ x² - 12x = 45

⇒ x² - 12x - 45

To learn more about standard form from given link

https://brainly.com/question/19169731

#SPJ1

The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and  (5 1/5) ft in height, will be 1423.5 cubic fts.

As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.

We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.

To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.

Here, "l" = 18.25 ft

       "w" =  15 ft,

And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.

Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,

Volume of the shed (V) = 18.25[tex]\times[/tex] 15 [tex]\times[/tex] 5.20

[tex]or, V = 1423.5ft^{3}[/tex].

Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.

To learn more about Volume, click on the link below.

https://brainly.com/question/28058531

#SPJ1

The equation for the linear function that best fits the data is y = 22.14x + 53.33

The data is given as

X 1. 2. 3. 4. 5. 6

Y 77. 101. 118. 137. 158. 194

Next, we enter the above values in a graphing calculator

From the graphing calculator, we have the following calculatiion summary:

For the regression equation, we have

y = bx + a

Where

b = SP/SSX = 387.5/17.5 = 22.14286

a = MY - bMX = 130.83 - (22.14*3.5) = 53.33333

Approximate b and a

So, we have

b = 22.14

a = 53.33

This gives

y = 22.14x + 53.33

Hence, the equation for the linear function that best fits the data is y = 22.14x + 53.33

Read more about linear regression at

https://brainly.com/question/14152034

#SPJ1

[tex] \huge \sf { \star{ \green{ \underbrace{\overbrace{\blue{Answer}}}}}}{\star} \\ \\ \: \: \sf \rightarrow{\fbox{21 \: \: Pages}}[/tex]

Step-by-step explanation:

[tex]\texttt{Kate reads} \\ \: \rightarrow \: \tt \: 3 \frac{1}{2} in \: \frac{1}{6} \texttt{ of an hour} \\ \\ \rightarrow 3 \: \frac{1}{2} or \frac{7}{2} \\ \\ \tt = 3.5 \: \texttt{pages in } \frac{1}{6} \texttt{of an hour} \\ \\ \frac{1}{6} = \frac{10 \: min}{60 \: min} \\ \\ \therefore \: 3.5 \: pages \: in \: 10 \: min \: \\ \\ \: \: multiply \: \: 3.5 \: \: by \: \: 6 \: times \: \: \\ \: \: \\ \\ = > 3.5 \times 6 \\ \\ \ = > \blue{\fbox{\pink {21 \tt pages}}}[/tex]

Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Given that,

Kate read 3 1/2 pages in 1/6 of an hour.

1/6 hour → 3 1/2 pages

              → 3 + 1/2 pages

               → 7/2 pages

Multiply by 6 on both sides,

1 hour  → (7/2) × 6 = 21 pages

Hence "Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Answer:

64 students played volly ball, 24 students played both football and vollyball

Step-by-step explanation:

srry if its not correct but im 70% sure it is

Answer:

152

Step-by-step explanation:

you will multiply 3and 5 each three times.

3*3*3=27

5*5*5=125

27+125=152

Answer:

A) 0.23

B) 0.14

Step-by-step explanation:

Part A)
To solve this question, we'll have to use the Bernoulli formula.
The formula claims that the probability to get [tex]k[/tex] successes out of [tex]n[/tex] attempts is given by [tex]\binom{n}{k}p^k(1 - p)^{n - k}[/tex].

In our case, [tex]n = 5[/tex], [tex]k = 3[/tex], and [tex]p = 0.78[/tex].

Therefore, the probability that 3 out of the 5 drivers use their turn signal is

[tex]\binom53 \times 0.78^3 \times 0.22^2 \to 0.23[/tex]

Part B)

We are told that the police officer pulled over 5 drivers, 3 of them using turn signals. In this part, we are asked "what is the probability that the 5th driver uses the turn signal and only 2 of the previous four drivers use turn signals?".

[tex]0.78 \times \binom42 \times 0.78^2 \times 0.22^{4-2}\\\to 0.14[/tex]

Answer:

Step-by-step explanation:

Hey, don't worry, I got you! The answer is 0.8

The answer of  6.64 / 8.3 = 0.800

Calculations :

We then have the equations:

66.4 ÷ 83 = 0.800

and therefore:

6.64 ÷ 8.3 = 0.800

Both calculated to 3 decimal places.

Learn more about Division with decimals refer :

https://brainly.com/question/11786124

#SPJ2

Answer:

Step-by-step explanation:

Given that the formula for exponential calculation :

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = increasing rate

n = number of times increases applied per time period

t = number of time periods elapsed

[tex]A = 5,000,000,000(1 + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{100}{100} + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{102}{100})^{5}\\A = 5,000,000,000(\frac{51}{50})^{5}\\A = 5,000,000,000(1.104)\\\\A = 5,520,000,000\\A = 5.52billion[/tex]

Hope this helps, I would really appreciate it if u mark me as the brainliest. Thks

Answer:

y = -3x - 12

Step-by-step explanation:

y - 7 = -3x  Put in the slope intercept form for a line

y = -3x + 7

Use the slope (-3), the x(-6) and the y(6) to find the y intercept and to write the equation for the line.

y = mx + b

6 = (-3)(-6) + b

6 = 18 + b  Subtract 18 from both sides

-12 = b

y =mx + b

y = -3x -12

Answer:0.705,srry if its wrong :(

Answer:21 decrees

Step-by-step explanation:

i gotch you

Answer:

4

Step-by-step explanation:

ill explain it in the comments but trust me that is the answer

If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

First step is to find the number of gallon consumed at each pressure

30 psi=23,000/20.5 mpg

30 psi = 1,121.95 gal

35 psi=23, 000/ 21.1 mpg

35 psi =1,090.05 gal

Now let determine the gallon saved

Gallons saved =  1,121.95 gal- 1,090.05 gal

Gallons saved=31.9 gal

Gallons saved=32 gal (Approximately)

Therefore  If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

Learn more about Number of gallons saved here:https://brainly.com/question/16958714

#SPJ1

The complete question is:

When a​ car's tire pressure is 30 pounds per square inch​ (psi), it averages 20.5 mpg of gasoline. If the tire pressure is increased to 35​ psi, the car averages 21.1 mpg of gasoline.

If someone drives an average of 23,000 mi per​ year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35​ psi?

The equation has no solution for the variable w

The equation is given as

v = -3x + s

In the above equation, there is no occurrence of the variable w

This means that it is not possible to solve the equation for w

Hence, the equation has no solution for the variable w

Read more about equations at

https://brainly.com/question/13763238

#SPJ1

Answer:

6400

Step-by-step explanation:

the exponent of the ten is the number of decimal spaces you move.

6.4(103)

=6.4*103

=6.4*(10*10*10)

=6400

9,513 rounded off to nearest thousands = 10,000

we have given a four digit number 9,513 to round off to nearest thousands.

steps that should be followed for rounding numbers to the nearest thousand:

round 9,513 to nearest thousands:

∵ hundreds place is 5

∴9,513≈10,000

hence, 9,513 nearest thousands is 10,000

learn more about rounding  here brainly.com/question/15265892

#SPJ9

Step-by-step explanation:

I just answered this. please look at your copy post.

Based on the state income tax rates, and Maurice's annual salary, he state income tax for Maurice is $820.63

Maurice earns $18,750.00 per year so will have state income taxes of:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

The state income tax is therefore:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

= 60 + 60 + 600 + 100.625

= $820.63

Find out more on state income taxes at https://brainly.com/question/2933343

#SPJ1

[tex]area = length \times width \\ 35 = length \times 5 \\ length = \frac{35}{5} = 7[/tex]

The expansion of the binomial (2x² + y²)⁴ is;

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

What is Binomial expansion?

The binomial expansion describe the algebraic expansion of powers of a binomial.

The expression is given as;

(2x² + y²)⁴

Now, The expansion of binomial is;

(2x² + y²)⁴ = (2x²)⁴ + 4 * (2x²)³ * y² + 6 * (2x²)² * (y²)² + 4 * 2x² * (y²)³ + (y²)⁴

               =  16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

Hence, The expansion of the binomial (2x² + y²)⁴ is;

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

Learn more about the binomial expansion visit:

https://brainly.com/question/4892534

#SPJ1

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

From the information, Maria practiced the piano for 2 1/2 hours last week and 1 3/4 hours this week.

Therefore, the number of hours that Maria practiced in the past 2 weeks will be:

= 2 1/2 + 1 3/4

= 2 2/4 + 1 3/4

= 4 1/4 hours

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1