A supermarket had a bags of red grapes for $13 for five bags they also had bags of green grapes purchased at $5.08 for two bags which type of grab is more expensive

Yes, this word problem is solvable using exponential functions.

To solve this problem, we need to use the formula for exponential growth:

P(t) = P0 * e^(rt)

where P(t) is the population after t hours, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.

In this problem, we are given that the population doubles in size every 25 hours. This means that the growth rate is 1/25, since the population is multiplying by 2 each time.

We are also given that there are about 1.35 million infections every year. Since there are 365 days in a year, this means there are about 1.35 million/365 = 3699.18 infections per day.

We can now use this information to find the initial population:

P0 = 3699.18 / e^(1/25 * 24 * 365)

P0 ≈ 2135.05

So the initial population is about 2135.05 bacteria.

To find the population after one year, we can use the formula again:

P(365 * 24) = 2135.05 * e^(1/25 * 24 * 365)

P(365 * 24) ≈ 3.89 x 10^18

Therefore, there are approximately 3.89 x 10^18 bacteria present after one year.

Answer:

\(x=\frac{15}{2}\) \(z=\frac{35113}{2703}\) \(a=\frac{15}{4}\) \(y=\frac{35113}{5406}\) \(b=\frac{45}{4}\)

Step-by-step explanation:

To solve this, we will have to use multiple methods, including the pythagorean theorem and the 30 60 90 rule.

In the 30 60 90 rule, it is stated that the angle opposing the side with 30 degrees is represented by \(s\), the angle opposing the side with 60 is \(s\sqrt{3}\) and the angle opposing 90 degree angle is represented by \(2s\). Looking at the whole triangle, we can see the 30, 60 and 90 degrees, and the angle with 90 has an opposing side of 15, which means we have to use 15=2s to find the other sides. When dividing 15 by 2, you get 7.5, which is s. Now we know that the angle opposing 30 is 15/2, which is x. Now that we have "s", we can also solve for z, represented by the 60 degrees. Multiply 7.5 and \(\sqrt{3}\) to get z=35113/2703.

Now we can solve for the smaller triangles. Since we have already found x, we can use the 30 60 90 method in this too. The x (15/2) is now represented by 2s. Therefore, solve for your new s by doing this: 15/2 = 2s. You should get your 30 degree angle answer (a) with this, which is 15/4. Now that we have to use pythagorean theorem, which is \(a^{2} + b^{2} = c^{2}\) to solve for the remaining side (y) of the small triangle. You should get 35113/5406.

Finally we have the last side left: b. Since we have so many sides now, all we have to use is the pythagorean theorem again. Use \(b^2+y^2=z^2\) and solve for b. You should get 45/4.

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

Know more about research design here:

https://brainly.com/question/30156874

#SPJ11

Answer:

-5-2n=8n+25

-5=6n+25

-30=6n

-5=n

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

n=-3

Step-by-step explanation:

Answer:

B. Acceleration

Step-by-step explanation:

Answer:

{15, 3, 0}

Step-by-step explanation:

Plugin the domain values into the equation then solve:

(fx) = x²- 4x + 3

First value

y = -2²- 4(-2) + 3                      replace f(x) with y

y = 4 - (-8) + 3                         -2² = -2 times -2 = 4 and 4 times -2 = -8

y = 12 + 3                                 add

y = 15                                       final result; first range value

Second value

y = 0²- 4(0) + 3                      replace f(x) with y

y = 0 - 0 + 3                          0² = 0 times 0, which is 0 and 4 times 0 is 0

y = 0 + 3                                add

y =  3                                     final result; second range value

Third value

y = 1²- 4(1) + 3                       replace f(x) with y

y = 1 - 4 + 3                           1 times 1 is 1, 4 times 1 is 4

y = -3 + 3                               add

y = 0                                      final result; third (last) range value

Therefore, Range: {15, 3, 0}

Learn more: https://brainly.com/question/10734654

Answer:

\( \frac{ \sqrt{2} }{2} \: or \: 0.7071\)

Step-by-step explanation:

\( \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 \)

Answer:

Step-by-step explanation:

343

Answer: Check out the diagram below

\(1.5 \le x \le 5.5\)

The lengths can be between   4   and   12   units

=======================================================

Explanation:

Let's find an expression that represents the area.

The length is 2x+1 and the width is 3. Multiply those two and we get

3(2x+1) = 6x+3

The area is 6x+3 square units.

In other words, A = 6x+3 represents the area.

------------------

We're then told that \(12 \le A \le 36\) saying that the area is between 12 and 36 square units (including both endpoints).

We'll replace the A with 6x+3 and solve for x like so:

\(12 \le A \le 36\\\\12 \le 6x+3 \le 36\\\\12-3 \le 6x+3-3 \le 36-3 \ \text{ .... see note1}\\\\9 \le 6x \le 33\\\\\frac{9}{6} \le \frac{6x}{6} \le \frac{33}{6} \ \text{ .... see note2}\\\\\frac{3}{2} \le x \le \frac{11}{2}\\\\1.5 \le x \le 5.5\\\\\)

note1: I subtracted 3 from all sides to undo the "plus 3"

note2: I divided all sides by 6 to undo the multiplication

------------------

We just found that \(1.5 \le x \le 5.5\\\\\) so it says that x is between 1.5 and 5.5 including both endpoints.

Plug in the smallest possible x value to find the smallest possible length

length = 2x+1

L = 2(1.5)+1

L = 3+1

L = 4

The smallest possible length is 4 units. Multiply this with the height 3 and we get L*W = 4*3 = 12 which is the smallest possible area.

------------------

Now use x = 5.5 to find the largest value of L possible

L = 2x+1

L = 2(5.5)+1

L = 11+1

L = 12

Then note how L*W = 12*3 = 36 is the max area possible, which matches with that your teacher wrote. So this confirms we have the correct value.

If you're not sure which values go where, check out the diagram below.

The value οf a = 3, b=-10, c-8

it's a secοnd-degree quadratic equatiοn which is an algebraic equatiοn in x. Ax² + bx + c = 0, where a and b are the cοefficients, x is the variable, and c is the cοnstant term, is the quadratic equatiοn in its standard fοrm. A nοn-zerο term (a 0) fοr the cοefficient οf x² is a prerequisite fοr an equatiοn tο be a quadratic equatiοn.

The x² term is written first, then the x term, and finally the cοnstant term is written when cοnstructing a quadratic equatiοn in standard fοrm. In mοst cases, the numerical values οf letters a, b, and c are expressed as integral values rather than fractiοns οr decimals.

The equatiοn given 5x²-2=2x²+10x+6

3x²-10x-8=0

values οf a = 3, b=-10, c-8

Hence the value οf a = 3, b=-10, c=8

Learn more about quadratic equation, by the following link.

https://brainly.com/question/1214333

#SPJ1

Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

Answer:

------

Step-by-step explanation:

1. The average speed of train A = 60 mph,

   The average speed of train B = 60 / 3/4 = 80 mph

Time it takes for trains to meet = 240/(60 + 80) = 240/140 = 12/7 hours

2. The trains meet in 12/7 hours, each traveling at their own speed.

S = D/T, D = S*T

Therefore we can say:

12/7(60) = distance train A is from Boston = 720/7 miles

12/7(80) = distance train B is from New York = 960/7 miles

The distance from New York would = 960/7 miles

Answer:

simplify

Step-by-step explanation:

20x-10+6x+4

20x+6x

26x-14

also**

Download the app MathPapa, it really helps me and you can simplify equations.

Answer:

y = -1.14286x - 2.28571 (slope of the line is -1.14286)

Step-by-step explanation:

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

Learn more about function at: brainly.com/question/30721594

#SPJ11

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Hey love! <3

Answer:

The area of the following figure would be A = 312cm^2

Step-by-step explanation:

To begin solving for the area of this question we should first calculate the triangles.

The triangles width are 10cm each, and the length for each triangle is 12/2, or 6. Remember the formula for finding the area of a triangle is length times width divided by 2

After calculating all four triangles you should get 30+30+30+30, or 120.

Now, lets calculate the large central rectangle, the formula for this is the basic length times width, so that would equal 192.

Thus, 192+120=312cm^2

Hope this makes things a little easier for you! ◕‿◕ Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

It will take 12,400 minutes to make the cut if a feed per tooth of 0.010 inch and a 16-tooth cutter running at a surface speed of 130 feet per minute is used.

A 16-tooth cutter is being used with a surface speed of 130 feet per minute, a plain milling cutter of 3 inches in diameter, and a width of the face of 2 inches to mill a piece of cold-rolled steel that is 1.5 inches wide and 8 inches long with a depth of cut of 1/4 inch.

The time required to make the cut can be calculated using the following formula:

Time (min) = Length of cut / Feed rate First, we'll need to figure out how long the cut is :

Length of cut = 8 inches - 1/4 inch= 7.75 inches Now, let's calculate the feed rate per tooth: Feed rate per tooth = Feed rate / Number of teeth Feed rate per tooth = 0.01 inch / 16Feed rate per tooth = 0.000625 inch Now, let's plug the values we have into the formula:

Time (min) = Length of cut / Feed rate Time (min) = 7.75 inch / 0.000625 inch Time (min) = 12,400

A plain milling cutter of 3 inches in diameter with a face width of 2 inches is being used to mill a 1.5-inch wide and 8-inch long piece of cold-rolled steel with a depth of cut of 1/4 inch. A 16-tooth cutter with a surface speed of 130 feet per minute is being used.

To find the time it would take to make the cut, we will use the formula: Time (min) = Length of cut / Feed rate. The length of the cut is 7.75 inches.

The feed rate per tooth is 0.000625 inches. Plugging these values into the formula gives us a time of 12,400 minutes.

To know more about diameter visit:

brainly.com/question/32968193

#SPJ11

There are 6840 ways to choose a president, a vice-president, and a secretary from a committee of 20 members.

To choose a president, a vice-president, and a secretary from a committee of 20 members,

We will use the formula for combinations,

which is: C(n, k) = n! / (k! (n - k)!)

where n is the total number of members and k is the number of members being chosen.

So, for n = 20 and k = 1, we have:

C(20, 1) = 20! / (1! (20 - 1)!) = 20

This gives us 20 choices for the president.

For the vice president,

We need to choose 1 member from the remaining 19 members.

So, for n = 19 and k = 1,

we have:

C(19, 1) = 19! / (1! (19 - 1)!) = 19

This gives us 19 choices for the vice president.

Finally, for the secretary,

We need to choose 1 member from the remaining 18 members.

So, for n = 18 and k = 1,

we have:

C(18, 1) = 18! / (1! (18 - 1)!) = 18

This gives us 18 choices for the secretary.

Now for finding the total number of ways to choose the three positions, we multiply the number of choices for each position:

So, the required number of ways will be 20 * 19 * 18 = 6840

For more questions on Permutation and Combination

https://brainly.com/question/30366889

#SPJ4

Answer:

x=3

Step-by-step explanation:

(scroll)

a:b = xb:b

a+40:b+40 = 7:3

a+40/b+40=7/3

3(a+40)=7(b+40)

3a+120=7b+280

3a=7b+160

160=3a-7b

a-40:b-40 = 5:1

a-40/b-40=5/1

a-40=5(b-40)

a-40=5b-200

a=5b-160

3a=15b-480

-480=3a-15b

160=3a-7b - (-480=3a-15b)

640=8b

b=80

160=3a-7(b)

160=3a-7(80)

160=3a-560

720=3a

a=240

x*80=240

x=3

(The numbers seem to work so I think this is right!)

Answer:

15 19/60

Step-by-step explanation:

-7 2/3 + (- 5 1/2) + 8 3/4 =

23/3 +(- 11/10) +35/4 =

LCM of 3,4 and 10 = 60

460/60 + (- 66/60) + 525/60 =

460+525= 985 - 66 = 919

919/ 60 = 15 19/60

Type I Error: (a) The probability that the researcher does not find enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities stays the same.
Type II Error: (b) The probability that the researcher does not find enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities decreases.
Specificity: (c) The probability that the researcher finds enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities stays the same.
Power: (d) The probability that the researcher finds enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities decreases.

In response to the student's question, Type I Error, Type II Error, Specificity, and Power can be described in this case as follows: Type I Error is the probability that the researcher does not find enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities stays the same. Type II Error is the probability that the researcher does not find enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities decreases. Specificity is the probability that the researcher finds enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities stays the same. Finally, Power is the probability that the researcher finds enough evidence that, on average, the amount of time spent on leisure activity decreases after taking a full time job, when in fact, on average, the time spent on leisure activities decreases.

Learn more about probability

brainly.com/question/30034780

#SPJ11

Answer:

I'm about to share an image with you that explains how to divide fractions!!

Answer:

KCF (Keep Change Flip) 3/4 divided by 2/3. Keep 3/4 change the division sign to mulitplication and flip the 2 and the 3 to an improper fraction of 3/2 and then solve. Just remember KCF and you'll be good. I used to be trash at fractions and now I'm very good thanks to KCF.

Step-by-step explanation:

A relative frequency of 0.56 means that out of the total number of observations in a given sample or population, 56% of those observations belong to a particular category or have a certain characteristic.

In other words, it is the proportion or fraction of the observations that fall into that particular category or have that characteristic, relative to the total number of observations. For example, if we had a sample of 100 people and 56 of them had brown hair, then the relative frequency of brown hair would be 0.56 or 56%.

To calculate relative frequency, you divide the frequency of a specific event or category by the total number of observations. In this case, the specific event or category occurs 56% as often as the total events or categories observed.

To know more about "Relative frequency" refer here:

https://brainly.com/question/29739263#

#SPJ11

In the limit where z (redshift) is much smaller than 1, the look-back time for a galaxy can be approximated as t_0 - t = H_0^(-1) * z - H_0^(-1) * (1 + (2/3) * q_0) * z^2 + ..., and the variation of the Hubble parameter with redshift is given by H(z) = H_0 * [1 + (1 + q_0) * z - ...].

The look-back time for a galaxy with redshift z is a measure of the time it takes for light from that galaxy to reach us. In cosmology, redshift is related to the expansion of the universe, and it provides information about the distance and time traveled by light from distant objects.

In the given expression, the look-back time is represented as t_0 - t, where t_0 is the present time and t is the time at which the light from the galaxy was emitted. In the limit where z is much smaller than 1, we can use a Taylor series expansion to approximate the look-back time.

The first term in the approximation, H_0^(-1) * z, represents the contribution from the Hubble constant (H_0) and the redshift (z). This term accounts for the simple relation between distance and redshift in a linearly expanding universe.

The second term, H_0^(-1) * (1 + (2/3) * q_0) * z^2, introduces a correction to account for the deceleration parameter (q_0), which measures the rate at which the expansion of the universe is slowing down. This term arises from the second-order term in the Taylor expansion and provides a more accurate description of the relationship between redshift and look-back time.

Similarly, the variation of the Hubble parameter with redshift, H(z), can also be approximated in the same limit. The expression H(z) = H_0 * [1 + (1 + q_0) * z - ...] shows that the Hubble parameter increases with redshift, with additional terms accounting for higher-order corrections.

Learn more about cosmology here:
brainly.com/question/12950833
#SPJ11

Answer:

8.5 in

Step-by-step explanation:

step 1

to find the width, the equation would be:

P/2-L

step 2-plug in

43/2-13=

8.5

Answer:

Step-by-step explanation: 10 + 10 = 20

46 - 20 = 26

26 divided by 2 = 13

Answer:

6.32

Step-by-step explanation:

all you have to do is 18.96 divided by 3

Answer:

6.32

Step-by-step explanation:

divide 18.96 by 3 and you get your answer

Answer:

(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.

Step-by-step explanation:

Gradpoint

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

Learn more about mean square errors here:

https://brainly.com/question/29662026

#SPJ4

Answer:

6

Step-by-step explanation:

x= 2y

y=2

5y - x

5y - 2y

5(2) - 2(2)

10 - 4

6

brainliest is appreciated

If x = 2y then, 5y - x in terms of y is equal to 3y and when y = 2, the value of 5y - x is 6.

To solve 5y - x in terms of y, we need to substitute the value of x in terms of y. Given that x = 2y, we can replace x with 2y in the expression 5y - x:

5y - x = 5y - (2y)

Now we simplify the expression by subtracting 2y from 5y:

5y - (2y) = 3y

Therefore, 5y - x in terms of y is equal to 3y.

To find the value of the expression when y = 2, we substitute y = 2 into the expression:

3y = 3 * 2 = 6

Thus, when y = 2, the value of 5y - x is 6.

To learn more about expression click on,

https://brainly.com/question/28812730

#SPJ2