PLEASE HELP
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+ 6 = 5(x-3)

Saul's claim about the new function is incorrect

The function that models the decrease of an initial population of 200 organisms at a decay rate of 10% each hour is given as

f(x) = 200(0.90)ˣ

When the initial value is increased by 100, the initial value becomes

Initial value =200 + 100 = 300

A population function with 10% decrement is represented as

g(x) = Initial value * (0.90)ˣ

So, we have

g(x) = 300(0.90)ˣ

See that f(x) = 300(0.90)ˣ does not equal g(x) = 200(0.90) x + 100

Hence, Saul is incorrect

Read more about exponential functions at

https://brainly.com/question/27161222

#SPJ1

C(4,3) = 4

The expression C(4,3) represents the number of combinations of 4 items taken 3 at a time. Using the formula for combinations, we have:

C(4,3) = 4! / (3! * (4-3)!) = 4

Therefore, the answer is [4].

Answer:

SA(surface area) of the rectangular prism is 1,510 in inches

Step-by-step explanation:

SA=2(lh+lw+hw)

2inch=24ft

lh=264

lw=336

wh=154

755*2=1,510

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) \(0.288 kg/liter\)

(b) \(0.061408 kg/liter\)

The mass of salt entering the tank per minute:

\(X= (0.2)( 5) = 1 kg/minute\)

The mass of salt exiting the tank per minute:

 \(\frac{5 * (5 + x)}{500}\)

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

\(\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}\)

The increase, in mass, Δ, after an increase in time, dt, is therefore;

\(\Delta = (x - 5 * (5 + x)/500)dt\)

Integrating with a graphing calculator, with limits 0 at 10, gives;  

\(\Delta = (99X - 5)/10\)

Substituting x = 1 gives:

\((99)( 1 - 5)/10 = 9.4 kg\)

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

\((5 + 9.4)/500 = (14.4)/500 = 0.288\)

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

\(\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt\)

Integrating with a graphing calculator, with limits 0 at 20, gives;

\(\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}\)

Where x = 1:

\(\Delta = 19.76(1) -3.456 = 16.304\)

The increase in mass after an increase in = 16.304 kg. The total mass:

\(16.304 + 14.4 = 30.704 kg\)

The concentration of the salt in the tank then becomes;

\(30.704/500 = 0.061408 kg/liter\)

Learn more: brainly.com/question/11762787

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

\(Hypotenuse^2=Base^2+Perpendicular^2\)

\((2.5)^2=(x)^2+(2)^2\)

\(6.25=x^2+4\)

\(6.25-4=x^2\)

\(2.25=x^2\)

Taking square root on both sides, we get

\(x=\pm\sqrt{2.25}\)

\(x=\pm 1.5\)

Side cannot be negative. So,

\(x=1.5\)

Therefore, the side length of the  third cube is \(x=1.5\) yd.

Answer:

B. 63

C. 41

Step-by-step explanation:

B step-by-step explanation:

first, multiply and evaluate.

27 + 36

then, just calculate.

27 + 36 = 63

C step-by-step explanation:

first, evaluate and divide.

9 x 5 - 2^2

then, multiply and evaluate.

45 - 4

finally, calculate that.

45 - 4 = 41

Answer:

5.83

Step-by-step explanation:

searched it up

Answer:

1: 2: √3

Step-by-step explanation:

What is the ratio of the sides of triangle XYZ?  

The sides of a triangle, where the angles are 30o, 60o, and 90o, are in ratio:  1: 2: √3  

Have a great day!

Answer: The correct answer is B.

Answer:

$6605.14

Step-by-step explanation:

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

Learn more about standard deviation here:-

https://brainly.com/question/23986929

#SPJ11

Answer 1,260 Cards.

Step-by-step explanation: 210 x 2 = 420, 420 + 210 =  630+210+420 = 1,260.

Hope this helps?  :)

Answer:

they have 1,260 because anna had 420, ronald had 210 and erika had 630 add them together you get 1,260

so sorry if this is wrong

The antithesis of an exponential function is a logarithmic function. A logarithmic function and an exponential function both use the same base.

Writing y = log2 x or f(x) = log2 x represents the logarithmic function for the equation x = 2y. Even today, the base is still 2. Y equals log base b of x, or more simply, "y equals log to the base b of x," is how y = logb x is typically read. Similarly to exponential functions, b > 0 and b 1.

Consequently, the table's data is represented by the logarithmic function f(x) = log3(x).

Table provided:

                    x           f(x)

                    25          2

                   125          3

                   625         4

We can write x in this case as powers of 5, so that

\($25=5^2$$125=5^3$$625=5^4$$\Rightarrow f(x)=5^{f(x)}$\)

After dividing the log in half, we now have

\($\log x=\log 5^{f(x)}$$\Rightarrow \log x=f(x) \log 5 \ldots .\left[\log (a)^m=m \log (a)\right]$\)

\($\Rightarrow f(x)=\frac{\log x}{\log 5}$$\Rightarrow f(x)=\log _5 x \ldots \ldots\left[\log _a b=\frac{\log b}{\log a}\right]$\)

A base-log function \($f(x)=\log _5 x$\), then, reflects the data in the table.

To learn more about logarithm function refer to:

https://brainly.com/question/30128291

#SPJ1

Step-by-step explanation:

in purple box write constants..

in green box write variable.

in redbox write coefficient..

the black box which is present below 12 right constant term..

the black box which is present below 3y write variable term..

hope it helps

Answer:

C) 85

Step-by-step explanation:

45+50=95

180-95=85

The expression for the combined total number of miles Melissa biked in two days is x * (average speed from yesterday) + (total time - x) * (average speed from today).

Let x represent the number of hours Melissa biked yesterday. If she biked for a combined total time of hours and x hours yesterday, then she must have biked (total time - x) hours today.

To calculate the combined total number of miles, we multiply the number of hours biked on each day by their respective average speeds and add them together.

Therefore, the expression for the combined total number of miles she biked is x times the average speed from yesterday plus (total time - x) times the average speed from today. This expression takes into account the different average speeds for each day and the respective durations of biking.

To learn more about number click here

brainly.com/question/3589540

#SPJ11

Answer:

B

Step-by-step explanation:

plug in 1 for x and 4 for y

4 + 4 = 4(1+1)

8 = 8

Plug in 2 for x and 8 for y

8+ 4 = 4(2+1)

12 = 12

Answer:

there is no problem

Step-by-step explanation:

Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.

Explanation:

Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.

Learn more about dilation here

brainly.com/question/13176891

#SPJ4

Answer:

x = 140

Step-by-step explanation:

in triangle SNU

angle U is 180-120 = 60

total angle of triangle is 180°

so, 180-80+60 = 40

angle S and angle P is equal because SN and PD are parallel.

so 180-40 = X

X = 140°

btw, i know i already answered this, but yee

The value of x is 140°

Answer:

Solution given;

we have

∡NSU+∡SNU=∡NUP[since exterior angle is equal to the sum of interior angle of a triangle]

∡NSU+80°=120°

∡NSU=120°-80°

∡NSU=40°

again

∡NSU=∡DPA=40°[ being corresponding angle]

again

∡DPA+DPU=180°[ sum of angle of a straight line is 180°]

40°+x=180°

x=180°-40°

x=140°

Step-by-step explanation:

Answer:

3.30

Step-by-step explanation:

You multiply the 5.5 pounds by the 80 cents then multiply the awnser of that by .25 and subtract that from the awnser of 5.5*.80

The solution for \($r$\) is approximately 0.0572 or 5.72% (rounded to four decimal places). This indicates that the loan receives an annual rate of return of approximately 5.72%.

To solve for the rate of return \(($r$)\) of the loan, we can use the present value formula for an annuity. The formula is given by: value formula for an annuity. The formula is given by:

\(\[PV = \frac{P \left(1 - (1 + r)^{-n}\right)}{r}\]\)

where \($PV$\) is the present value (loan amount), \($P$\) is the periodic payment, \($r$\) is the interest rate, and \($n$\) is the number of periods.

Let's assume the present value \(($PV$)\) is $30000, the periodic payment \(($P$)\) is $5000$, and the number of periods \(($n$) \ is\ $13$\). Plugging in these values into the formula, we get:

\(\[30000 = \frac{5000 \left(1 - (1 + r)^{-13}\right)}{r}\]\)

Solving this equation for \($r$\) will give us the rate of return of the loan.

The solution for \($r$\) is approximately 0.0572 or 5.72% (rounded to four decimal places). This indicates that the loan receives an annual rate of return of approximately 5.72%.

To know more about loan visit -

brainly.com/question/33677716

#SPJ11

Answer:

x=3 and y=17

Step-by-step explanation:

Elimination Method

y =3x + 8;y = −3x + 26

Step: Solve y = 3x + 8 for y:

y=3x+8

Step: Substitute 3x + 8 for y in y=−3x+26:

y=−3x+26

3x+8=−3x+26

3x+8+3x=−3x+26+3x(Add 3x to both sides)

6x+8=26

6x+8+−8=26+−8(Add -8 to both sides)

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x = 3

Step: Substitute 3 for x in y=3x+8:

y=3x+8

y=(3)(3)+8

y=17(Simplify both sides of the equation)

x=3 and y=17

Answer:

z/4 or 4/z i think or z divided by 4

Step-by-step explanation:

Answer: 7/10 as a decimal is 0.7

27/36 is 0.75

5/21 is 0.23809523809524

5/11 is 0.45

that's about what I can help with sorry

Step-by-step explanation:

Answer:

This person above is correct.

( I apologize, i wanted to help the person get the brainiest they deserve.)

Answer:

None

Step-by-step explanation:

There isn't a common ratio in this sequence

Hope this helps!