What is the slope of the line that
passes through these two points?
(1, -2)
(3, 4)

Answer:

58

Step-by-step explanation:

6*8+2*2+3*2=58

Answer:

2/3

Step-by-step explanation:

The slope of a line that is perpendicular to another line must be the negative reciprocal of the other line. This means that the slope is flipped (3/2 would be 2/3, or 5 would be 1/5) and that the sign is also changed. If the slope of the other line is positive, then the slope of this line would be negative, and vice-versa.

First, we try to get the variable y by itself, so subtract 3x from that side of the equation and then divide everything by 2. So, it would now be y= -3/2 + 3.

Then, you find the negative reciprocal of 'm', so -3/2 would be change to 2/3

Answer:

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

Step-by-step explanation:

The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.

[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.

[tex]t[/tex] - Time, in years.

[tex]\tau[/tex] - Time constant, in years.

First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):

[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]

[tex]\tau \approx 3.478\,y[/tex]

Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]

[tex]m(9\,y) \approx 60.155\,mg[/tex]

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

Answer:

h=4

Step-by-step explanation:

Subrtract 7, giving you 12.

Then divide by 3 to isolate h. Giving you 4.

Answer:

Step-by-step explanation:

25x-16y-25x+16y

-16y and 16y cancels out

25x-25x

25x and -25x cancels out too

This means the answer is 0

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Answer:

300

Step-by-step explanation:

5/3=120/x

300

The new selling price of the calculator will be R200.00.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, If a calculator is sold for R120.00.

Now, The original selling price is increased by a ratio 5 : 3, which can also be written as 5/3.

Therefore, The new selling price of the calculator will be,

= (5/3)×12000.

= 5×4000.

= 20000.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ5

Answer:

2

Step-by-step explanation:

So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.

So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.

Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.

So, we can conclude that the answer is 2.

Answer:

I think the common ratio is 20

Step-by-step explanation:

Each number is 20 times the previous number, so the Common Ratio would have to be 10

Answer:

The data is a simple random sample from the population of interest.

Step-by-step explanation:

Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.

Answer:

you are missing part of the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

The radius is half the diameter.

The total area is the area of the triangle plus the area of the semicircle.

Answer:

A) 10.5+7.25[tex]\pi[/tex]units²

Step-by-step explanation:

This can be divided into a semicircle and a right triangle.

The area of the right triangle is (1/2)(7)(3)= 10.5

the radius of the semicircle is

[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]

[tex]r=(1/2)(\sqrt{58}[/tex]

[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]

[tex]A=58\pi /8[/tex]

[tex]A=7.25\pi[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!

Step-by-step explanation:

Given

[tex]q + p = 2(q - p)[/tex]

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

[tex]qp = 675[/tex]

as equation 2.

Using equation 2,

[tex]q = \frac{675}{p} [/tex]

substitute this equation into equation 1.

[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]

Substitute P into equation 2.

[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]

Therefore the woman is 45 years old while her son is 15 years old.

Step-by-step explanation:

Hi,

I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...

x = 5 + y /3

(the 5 and y are being divided by 3)

But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.

Hope this helps

Answer and Step-by-step explanation:

Yes (technically),  there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.

Here is how you would explain it:

What you would do is Add y to both sides, then subtract 5 from both sides.

3x = y + 5

3x - 5 = y (aka y  = 3x - 5)

The other way to solve:

3x - y = 5

Subtract 3x from both sides.

-y = -3x + 5

Now divide both sides by -1.

-1(-y) = -1(-3x + 5)

y = 3x - 5

If you want to solve for x, you would:

Add y to both sides of the equation.

3x = 5 + y

Then divide each side by 3.

x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

88

Step-by-step explanation:

MATH

The number of students who have the flu on Friday morning will be;

⇒ 83

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

At the beginning of Monday there were 56 students with the flu,

Now,

Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

Hence, The percent of increasing rate on Friday morning = 4 x 12%

                                                                                         = 48%

Thus, The number of students who have the flu on Friday morning is,

⇒ 56 + 48% of 56

⇒ 56 + 48 × 56 / 100

⇒ 56 + 26.88

⇒ 82.88

Thus, The number of students who have the flu on Friday morning will be;

⇒ 83

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

well if you think about it the answer you see is in the points

Step-by-step explanation:

and the data comes from the scatterplot so try to see it and remember to chose b or c ok  

Answer:

i would say true

Step-by-step explanation:

Answer:

Part A: 40 cubic feet. Part B: 20 cubic feet

Step-by-step explanation:

Part A: 5×4×2 = 40 feet3  

Part B: 5×4×1 = 20 feet3

Answer:

0.83

9.96 divided by 12 is that

Answer:

243 ft³

Step-by-step explanation:

V = [tex]\frac{1}{3}[/tex]Bh

A = 9 x 9 = 81

81 x 9 = 729

729 / 3 = 243

When you see [tex]\frac{1}{3}[/tex] in a math formula, it means to divide by 3.

For example, when you are trying to find the volume of a pyramid or cone you will see [tex]\frac{1}{3}[/tex] in the formula.

Let me know if this helps!

Answer:

729 ft³

Step-by-step explanation:

I found this answer by something I learned. All you have to do is multiply the 3 numbers of the square pyramid.

9 x 9 x 9 = 729 ft³

sorry I tried to find out the correct answer but because of one mistake I can't remember

Answer:

i think its D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 rectangles.

2 act as the top and bottom

Answer:

C and D

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

Step-by-step explanation:

correct

Answer:

B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

9.24l

Step-by-step explanation:

find the volume then change into litres

14*24*60=20160cm3

divide by 1000 to change it in to litres

20.16l

20.16-10.92=9.24l