Write the equation of a line that is parallel to the line 3x+5y=−1 and passes through the point (2,-1). Write your equation in standard form.

Given that, the triangle is a right angled triangle. Therefore,

Given that, hypotenuse is 10, altitude is 5 and base is x. Thus,

Hence, Option D.

Answer:

5

Step-by-step explanation:

Answer:

Sales budget $     for the 4 quarters is  $ 600,000    $ 720,000            $594000 and $ 825,000  

Production Budget in units for the four quarters i s     7997.6            9000             8900  and  10,350 units

Step-by-step explanation:

Sales Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

Sales Price       $75.00        $75.00           $ 82.50            $82.50

Sales $              600,000     720,000            594000         825,000  

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

Ending Inv.      2400            1800                3500               3850

Less Opening   -----              2400               1800               3500          

Production      7997.6            9000             8900                10,350          

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

Answer:

n=14

....................

Answer:

Step-by-step explanation:

See the steps:

Answer:

5 digit greatest no: is 99999

Smallest is 10000

Step-by-step explanation:

Sum=

99999+10000

=1,09,999

Subtraction=

99999-10000

=89,999

Answer:

y = 3.75x + 300

Step-by-step explanation:

hope it was in time :)

Answer:

56

Step-by-step explanation:

56

Answer:

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL

This means that \(\mu = 30.8, \sigma = 4.371\)

What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?

This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.

X = 39.73

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{39.73 - 30.8}{4.371}\)

\(Z = 2.04\)

\(Z = 2.04\) has a pvalue of 0.9793

X = 36.84

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{36.84 - 30.8}{4.371}\)

\(Z = 1.38\)

\(Z = 1.38\) has a pvalue of 0.9162

0.9793 - 0.9162 = 0.0631

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Answer:

we know,

Volume of cylinder = Base area × height

1500= 100×h

so, Height h = 15 cm

Answer:

-12,0

Step-by-step explanation:

i took the quiz

Answer:

The x intercept is -12

Step-by-step explanation:

Because we need to find the x intercept (x,0)

We can substitute y or F(x) into 0

0=x+12

Subtract 12 on both sides

x=-12

so (-12,0) or -12

Hope this helps!

After 17 repetitions, it will take the new warehouse robot 6 seconds to learn

A learning curve is a mathematical notion that illustrates visually how a process improves with practice and learning over time.

According to the learning curve idea, tasks will demand less time and resources as they are carried out more frequently due to the proficiency that is acquired when the procedure is learnt.

The learning curve, which is used to gauge output effectiveness and project costs, was initially introduced by psychologist Hermann Ebbinghaus in 1885.

Learning curve is solved by the formula

y = ab^x

where

the starting = a

the base (rate) = b

the exponents = x

Considering the given problem,

f(x) = 275(0.8)^17

=  6.192449

= 6 seconds

Learn more about exponential functions of learning curves here:

https://brainly.com/question/14415844

#SPJ1

Answer:

\(x = - 1 \\ - 2 + 0.4y = 0.4 \\ 0.4y = 0.4 + 2 = 2.4 \\ y = 2.4 \div 0.4 = 6 \\ y = 1 \\ 2x + 0.4 = 0.4 \\ 2x = 0.4 - 0.4 = 0 \\ x = 0\)

Answer:

\(2x + 0.4y = 0.4 \\ 2( - 1) + 0.4y = 0.4 \\ 0.4 y = 2.4 \\ y = \frac{2.4}{0.6} \\ \therefore \: y = 6 \\ 2x + 0.4(1) = 0.4 \\ \therefore \: x = 0\)

Answer:

Step-by-step explanation:

Let's call the number of gallons of gas consumed by the first car "x" and the number of gallons of gas consumed by the second car "y". We can set up a system of two equations to represent the information given in the problem:

x + y = 45 (equation 1: total gas consumption is 45 gallons)

35x + 25y = 1375 (equation 2: total distance traveled is 1375 miles)

To solve for x and y, we can use the first equation to solve for one variable in terms of the other. For example, we can solve for y as:

y = 45 - x

We can then substitute this expression for y into the second equation, and simplify:

35x + 25(45 - x) = 1375

35x + 1125 - 25x = 1375

10x = 250

x = 25

So the first car consumed 25 gallons of gas that week. We can substitute this value into equation 1 to find the number of gallons consumed by the second car:

25 + y = 45

y = 20

Therefore, the second car consumed 20 gallons of gas that week.

Answer:

-9x/2 + 15/2

Step-by-step explanation:

(15-9x)* 1/2

15(1/2)-9x 1/2

15/2 -9x *1/2

15/2-9x/2

-9x/2 + 15/2

Answer:

21/2 ( SEE IMAGE BELOW)

Step-by-step explanation:

Calculate the product

15- 9/2

Calculate the Differnce

21/2

so the answer is 21/2

To determine the worth of an investment paying simple interest, use the following expression: P(1 + rt) and To determine the value of an investment producing compound interest, use the following expression: P\((1+r)^{t}\).

The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest. Although some mortgages employ this calculating approach, this kind of interest often relates to vehicle loans or short-term loans.

The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors. The resultant value is subsequently deducted from the loan's entire original amount.

Learn more about simple interest and compound interest at

https://brainly.com/question/29480777?referrer=searchResults

#SPJ4

Answer:

35

Step-by-step explanation:

The answer might be 7 i don't know

Answer:

w = 7 feet

Step-by-step explanation:

The area of the rectangle, 70 ft², is equal to the length, 10 ft, times the width, w.

So, to find w, we can divide the area by the length.

w = 70 / 10

w = 7

The width is equal to 7 feet.

We can check this by multiplying the given length by the width that we've calculated to see if the area is equal to 70 feet².

10 · 7 = A

70 = A

Because the area we found is equal to the given area, our calculations are correct.

I hope this helps ^^

Good luck n.n

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Given:

cost of peaches per pound = $4

cost of apples per pound = $2

Total amount spent = $60

Total pounds bought = 24

let

x = number of peaches

y = number of apples

x + y = 24 (1)

4x + 2y = 60 (2)

multiply (1) by 2

2x + 2y = 48 (3)

4x + 2y = 60 (2)

subtract (3) from (2)

4x - 2x = 60 - 48

2x = 12

x = 12/2

x = 6

substitute x = 6 into (1)

x + y = 24 (1)

6 + y = 24

y = 24 - 6

y = 18

Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Learn more about simultaneous equation:

https://brainly.com/question/15914313

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

3 (no)

9 (no)

-7 (no)

-1 (no)

The solution to the equation 6w + 9 = 33 is 4.

The values of 2 = 3, 9, -7, and -1 are not solutions to 6w + 9 = 33.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

6w + 9 = 33

6w = 24
w = 4

For w = 3

6 x 3 + 9 = 33

18 + 9 = 33

27 = 33

This is not true so it is not a solution.

For w = 9

6 x 9 + 9 = 33

54 + 9 = 33

63 = 33

This is not true so it is not a solution.

For = - 7

6 x (-7) + 9 = 33

-42 + 9 = 33

-33 = 33

This is not true so it is not a solution.

For w = -1

6 + (-1) + 9 = 33

-6 + 9 = 33

3 = 33

This is not true so it is not a solution.

Thus,

None of the values of w are solutions to 6w + 9 = 33.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ2

To calculate the total volume of the solid we will divide it into n shell cyline thickness of \($\Delta y$.\)

The internal shell cylinder circumference C shall be\($2 \pi r_i$\)

where r is the in The shell cylinder internal area A shall be C.

where h is the height

The volume of the shell cylinder\($\Delta v$\) shall be\($A \cdot \Delta y$.\)

Then we will have:

\(\Delta v=A \cdot \Delta y=C \cdot h \cdot \Delta y=2 \pi r_i h \cdot \Delta y \Rightarrow d v=2 \pi r_i h \cdot d y$$\)

The total volume of the solid shall be the summation of all n shell cylinders

\(\int d v=\int 2 \pi r_i h d y \Rightarrow V=\int_a^b 2 \pi r_i h d y \Rightarrow V=2 \pi \int_a^b r_i h d y$$\)

\(\int d v=\int 2 \pi r_i h d y \Rightarrow V=\int_a^b 2 \pi r_i h d y \Rightarrow V=2 \pi \int_a^b r_i h d y\)

\(The value $a$ is the value of $y$ at the point where $x=0$ then:For $x=0 \Rightarrow y=0^3 \Rightarrow y=0$ then $a=0$.The value $b$ is the value of $y$ at the point where $x=1$ then:\)

\(For $x=1 \Rightarrow y=1^3 \Rightarrow y=1$ then $b=1$.Since the integration will be with variable $y$ we have to express the function $y=x^3$ in terms of $y$ :$$\)

y=x^3 \\(Rightarrow x=\sqrt[3]{y}\)

Substituting in V, we will have:

\(V= & 2 \pi \int_a^b r_i h d y=2 \pi \int_0^1(1-y)(1-\sqrt[3]{y}) d y=2 \pi\)\\(int_0^1(1-y)\left(1-y^{\frac{1}{3}}\right) d y \\\)

&\(1-y \\& \frac{1-y^{\frac{1}{3}}}{1-y} \\& \frac{-y^{\frac{1}{3}}+y^{\frac{1}{3}} \cdot y^{\frac{1}{1}}}{} \\\)

\(& 1-y-y^{\frac{1}{3}}+y^{\frac{1}{3}+\frac{1}{1}}= \\& =1-y-y^{\frac{1}{3}}+y^{\frac{1+3}{3}}= \\\)

\(& =1-y-y^{\frac{1}{3}}+y^{\frac{4}{3}}= \\& =y^{\frac{4}{3}}-y^{\frac{1}{3}}-y+1\)

Substituting in V:

\(V=2 \pi \int_0^1\left(y^{\frac{4}{3}}-y^{\frac{1}{3}}-y+1\right) d y=2\)\({1}{3}+1}}{\frac{1}{3}+1}-\frac{y^{1+1}}\){\(1+1}+y\right]_0^1=2\) \(\pi\left[\frac{y^{\frac{4+3}{3}}}{\frac{4+3}{3}}\)-\(\frac{y^{\frac{1+3}{3}}}{\frac{1+3}{3}}-\frac{y^2}{2}+y\right]_0^1$$\)

Calculating the definite integral:

By definition\(, $\int_a^b f(x) d x=\left.F(x)\right|_a ^b=F(b)-F(a)$\) then:

\(& V=\frac{\pi}{14}\left[\left(12 \cdot 1^{\frac{7}{3}}-21 \cdot 1^{\frac{4}{3}}-14\)\(\cdot 1^2+28 \cdot 1\right)-\left(12 \cdot 0^{\frac{7}{3}}-21 \cdot\) \(0^{\frac{4}{3}}-14 \cdot 0^2+28 \cdot 0\right)\right] \\\)

& V=\(\frac{\pi}{14}[(12 \cdot 1-21 \cdot 1-14 \cdot 1+28 \cdot 1)-\underbrace{(12 \cdot 0-21 \cdot 0-14 \cdot 0+28 \cdot 0)}_0]\)

\(& V=\frac{\pi}{14}(12-21-14+28)=\frac{\pi}{14}(12+28-21-14)=\frac{\pi}{14}(40-35)=\frac{5 \pi}{14} \approx \frac{5 \cdot 3,1416}{14} \approx \frac{15,708}{14} \\& V \approx 1,122\)

Answer:\($V \approx 1,122 u . v$. (units of volume)\)

To learn more about total volume visit:

https://brainly.com/question/24852961

#SPJ4

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

If a water sample shows 0.37 grams of some trace element for every cubic centimeter of water.  Terrence has collected 841.51 grams of the trace element.

First, we need to find the volume of the cylinder container:

Volume of cylinder = π(radius)² height)

= π(7.9cm)²(11.6cm)

= 2,274.37 cm³

Amount of trace element = concentration x volume

= 0.37 grams/cm³ x  2,274.37 cm²

= 841. 51 grams

Therefore, Terrence has collected  841.51 grams of the trace element.

Learn more about cubic centimeter of water here:https://brainly.com/question/4594635

#SPJ1

Answer:

B

Step-by-step explanation:

union means everything in both sets

The coordinates of the image are -2P

From the question, we have the following parameters that can be used in our computation:

Ry = -2(P)

To calculate the coordinate of the image, we simply open the bracket

So, we have

Ry = -2(P)

Solving further, the equation can be represented as

Ry = -2 * P

Evaluate the product

So, we have the following representation

Ry = -2P

Hence, the image has an coordinate or ordered pair of -2P

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer:

Part A :

Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.

Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.

Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri

Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.

Explanation :

I have calculated out Robins and Dimitris subscribers counts with math.

Part A: The attached image is for Robin but I didn't have time for Dimitri.

Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.

Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.

Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.

Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

D

Step-by-step explanation:

Well, the right edge is 1 line away from 6 so it is 5 15/16 inches.

There are 16 lines for each 1 line. so it is 5 inches and 15 lines out of 16

Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)