Find the shaded area

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

Find out more at: https://brainly.com/question/12490064

Answer:

0.63636363636363636

Step-by-step explanation:

14/22

Answer:

7/11 or 0.6363636363... and so on in that pattern.

Step-by-step explanation:

Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).

I hope this answer helped you if it is wrong please let me know. Thank you!

Answer:

f(2) = 5

Step-by-step explanation:

Input values = x-coordinates.

Output values = y-coordinates

This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2.  If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.

Therefore, f(2) = 5.  

Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.

Answer:

  f(2) = 5

Step-by-step explanation:

The 2 in f(2) means you're looking for the value of the function when x=2.

Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...

  f(2) = 5

Answer:

the slope is -2/5

Step-by-step explanation:

Solve for y.

2x + 5y + 1 = 0

5y = -2x - 1

y = -2/5 x - 1/5

Compare to

y = mx + b, where m is the slope.

m = -2/5

Answer: the slope is -2/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Original equation/problem:}[/tex]

[tex]\mathbf{687\times391}[/tex]

[tex]\mathbf{= 391\times687}[/tex]

[tex]\mathbf{= 268,617}[/tex]

[tex]\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}[/tex]

[tex]\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}[/tex]

[tex]\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}[/tex]

[tex]\huge\textbf{New equation:}[/tex]

[tex]\mathbf{700 \times 400}[/tex]

[tex]\mathbf{= 400\times700}[/tex]

[tex]\mathbf{= 280,000}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

Answer:

  f(x) = 3x² -x +4

Step-by-step explanation:

Use (x+1) for x and simplify.

  f((x+1) -1) = 3(x +1)² -7(x +1) +8

  f(x) = 3(x² +2x +1) -7x -7 +8

  f(x) = 3x² -x +4

Answer: 5

Step-by-step explanation:

We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.

Let's denote:

μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)

μ2 = Mean serum protein level of the group fed on high protein food

The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis (Ha) would be that there is a difference between the means:

Hₐ: μ₁ ≠ μ₂

Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.

Assuming the serum protein values (in g/100ml) for the 16 children are as follows:

8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9

Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml

Sample standard deviation (s) ≈ 0.352 g/100ml

Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:

t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]

where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Substituting the values, we get:

t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584

Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.

Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.

In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To learn more about hypothesis click on,

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#SPJ4

Answer:

Step-by-step explanation:

24)

3x - 10 > 2

3x - 10 + 10 > 2 + 10

3x > 12

3x/3 > 12/3

x > 4

5x - 15 < -5

5x - 15 + 15 < -5 + 15

5x < 10

5x/5 < 10/5

x < 2

B)  x > 4 or x < 2

25)   1.5/60 = 12/x

x = 12(60) / 1.5

x = 480

B) 480 miles

This distance from Old Faithful to Mammoth Hot Springs is actually about 52 miles by road, so there must have been MASSIVE number of road closures to get this result...or else their scale is incorrect. 1.5 inch to 6.0 miles would be a much more accurate scale making the distance 48 miles.

Answer:

2597. 58000 and this is the ans

Answer:

0.18

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because... it is

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]

and

[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]

which means the sum we want is 14,950 - 1,196 = 13,754.

Answer:

11 cm

Step-by-step explanation:

add whole numbers

1 + 4 + 2 = 7

add decimal numbers

1.5 + 2.5 = 4

add the answers

7 + 4 = 11

have a splendid day <3

Answer:

11cm

Step-by-step explanation:

To find perimeter, you simply just add each of the side lengths.

To make this easier to read, lest group some of the terms

1cm + 4cm = 5cm

2cm + 1.5cm = 3.5cm

5cm + 3.5cm = 8.5cm

8.5cm + 2.5cm = 11cm

The five terms are bolded to make sure that we added each term in the sum.

Answer:

  (d)  x < 2

Step-by-step explanation:

Subtract 5 from both sides of the inequality, the same way you would if it were an equation.

  x +5 < 7 . . . . . . given

  x +5 -5 < 7 -5 . . . . . show subtraction of 5

  x < 2 . . . . . the solution

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

Answer:

y+1=8/9(x+4)

Step-by-step explanation:

Tell me if you want one!

Answer:

your Answer has to be 5

Step-by-step explanation:

f(3) = 2x3 - 1

= 6 - 1

= 5

Answer:

D ÷3/5 that's the answer i think I worked it out myself

Answer:

then z is a factor of x??? huh??

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

Answer:

2195

Step-by-step explanation:

filler filler filler lol

Answer: 2,195

Step-by-step explanation:

439x5

9x5=45

3x5+4=19

4x5+1=21

2195

Using the z-distribution for the margin of error, it is found that 355 samples should be taken.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which  z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The estimate is of 18%, hence [tex]\pi = 0.18[/tex].

95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.04, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]

[tex]n = 354.4[/tex]

Rounding up, 355 samples should be taken.

A similar problem is given at https://brainly.com/question/14936818

Answer:

the building is aged and unique.