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Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.

How many wildebeests migrated past the biologist during the first 20 minutes?

Enter your answer in the box.

The statement that is true is (B) f has a local minimum at x = 0 and a local maximum at x = 6.949.

To determine the nature of the critical points, we need to analyze the second derivative of the function f. Given f''(x) = sin(z) - 2cos(z), we can evaluate the second derivative at the critical points c = 0 and c = 6.949.

At c = 0, the value of the second derivative is f''(0) = sin(0) - 2cos(0) = 0 - 2 = -2. Since the second derivative is negative at c = 0, it indicates a local maximum.

At c = 6.949, the value of the second derivative is f''(6.949) = sin(6.949) - 2cos(6.949) ≈ 0.9998 - (-0.9982) ≈ 1.998. Since the second derivative is positive at c = 6.949, it indicates a local minimum.

Therefore, based on the analysis of the second derivative, the correct statement is that f has a local minimum at x = 0 and a local maximum at x = 6.949 (option B).

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We have to say if 9,953 is divisible by 2, 3, 4, 5, 9 or 10 and justify each one:

• Is no divisible by 2 becuase the number is odd.

• Is not divisible by 3 becuase the sum of the digits is 26 that is not divisible by 3.

• Is not divisible by 4 becuase the last two digits form a number that is not divisible by 4.

• Is not divisible by 5 because the last digit is not 0 or 5.

• Is not divisible 9 becuase the sum of the digits is 26 that is not divisible by 9.

• Is not divisible by 10 because the last digit is not 0,

Answer:

I think it's D

Step-by-step explanation:

Additive and inverse I think is opposite so it might be D being the opposite of -4 1/4

The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.

We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.

Hypothesis testing parameters are

\(Н_0 : \mu = 3 \)

\(H_a : \mu ≠ 3 \)

The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.

Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is

'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median

= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.

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Answer:

Lewis spent £14.82.

Step-by-step explanation:

Total number of cartons of juice Lewis bought = 38

i. If 1 carton of juice = 45 p, then;

Lewis would spend = 38 x 45 p

                                = 1710 p

Since 100 p = £1, then;

1710 p = \(\frac{1710}{100}\)

           = £17.10

Lewis would have spent £17.10.

ii. If 4 cartons = £1.56, then;

\(\frac{38}{4}\) = 9.5

Lewis would have spent = £1.56 x 9.5

                                         = £14.82

Given that he bought the cartons of juice for the least possible amount. Thus, Lewis spent £14.82.

Step-by-step explanation:

mark me as brainliest .....

Answer:

its the third one more girls than boys!!

Step-by-step explanation:

Step-by-step explanation:

\( {x}^{2} - 12x + 36 = 90 \\ {x}^{2} - 12x - 54 = 0 \\\)

Let a=1, b=-12, c=-54

Use formula

\( \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \)

You will get

\(x = 6 + 3 \sqrt{10} \\ x = 15.48683298 \\ or \\ x = 6 - 3 \sqrt{10} \\ x = - 3.48683298\)

Answer:

x = 6 + 3\(\sqrt{10}\)

Step-by-step explanation:

if you 'un-foil' the equation \(x^{2}\) - 12x + 36 = 90 you will get the following:

(x - 6)^2 = 90

take the square root of each side and you will get the following:

x - 6 = \(\sqrt{90}\)

Add 6 to each side

x = 6 + \(\sqrt{90}\)

simplify \(\sqrt{90}\) to be \(\sqrt{9}\) x \(\sqrt{10}\)  which equals 3 \(\sqrt{10}\)

Final answer:  6 + 3\(\sqrt{10}\)

The error that Amanda made is claiming that the expanded form of \(log4(c^2d^5)\) is:

\(log4(c^2d^5) = log4(c^2)log4(d^5)\)

The logarithmic expression \(log4(c^2d^5)\) represents the power to which 4 must be raised to get the value of \(c^2d^5\). That is:

\(log4(c^2d^5) = y\)if and only if \(4^y = c^2d^5\)

Now, to expand this logarithmic expression, we can use the logarithmic identity:

log(ab) = log(a) + log(b)

Applying this identity to the given expression, we get:

\(log4(c^2d^5) = log4(c^2) + log4(d^5)\)

So, the error that Amanda made is claiming that the expanded form of \(log4(c^2d^5)\) is:

\(log4(c^2d^5) = log4(c^2)log4(d^5)\)

This is incorrect because we cannot use the product rule of logarithms in this case. The product rule is applicable only when we are taking the logarithm of the product of two or more terms. In this case, we are taking the logarithm of a single term \((c^2d^5)\) and therefore, we need to use the power rule of logarithms to expand it into two separate logarithmic terms as shown above.

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Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

When the two events are mutually exclusive and collectively exhaustive,

the probability that one or the other occurs is:

b. 1.00

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Moreover, the proportion of positive outcomes cannot be negative.

The answer to the question is that two occurrences that are mutually exclusive cannot happen simultaneously. One cannot happen without the other. A coin flip result is a nice example. Tails cannot happen if heads do, and vice versa. A set of occurrences is considered exhaustive if there is a 100% chance that any one of them will occur. To put it another way, at least one of the occurrences is required.

According to the definitions given above, there is a situation in which there is a 100% chance that either one or the other event will occur. This is evident from the set's mutual exhaustibility. Furthermore, because they are mutually exclusive, we know that even if one event occurs, the other cannot.

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Answer:A) 8 miles

Step-by-step explanation:

8 miles

The length of the rectangle is found as 7 feet.

For the stated question;

Let the length and the width of the rectangle be 'L' and 'B'.

Then, width is given as;

W = L-2

Area = 35 square feet

A = LW = 35

Put the value of W

L(L-2) = 35

L² -2L - 35 = 0

L² -2L - 35 =0

(L-7)(L+5) = 0

L > 0 so, L=7 is solution

Thus, the length of the rectangle is found as 7 feet.

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The correct question is-

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.

Answer:X+9=11

9-9|11-9

X=2

Step-by-step explanation:When the beginning number is unknown we use “x” to be a place holder. If she got 9 more books we would add 9 to the equation. Finally if 11 is the total, the end of the equation would equal 11.

Answer:

no robot can travel 27 feet in 3 minutes

Step-by-step explanation:

The period of a simple pendulum is 1 s on Earth. when brought to a planet where g is one-tenth that on earth, its period becomes (d) 1/√10 s.

The period of a simple pendulum is given by the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

On Earth, the period is 1 s, which means that 1 = 2π√(L/gEarth).

When the same pendulum is taken to a planet where g is one-tenth that on Earth, the equation becomes T = 2π√(L/(g/10)).

We want to find the new period, so we can solve for T: T = 2π√(L/(g/10)) = 2π√(10L/g).

We know that the length of the pendulum does not change, so we can substitute L from the first equation into the second equation: T = 2π√(10/gEarth).

We can simplify this equation by dividing the numerator and denominator of the square root by gEarth:

T = 2π√(10/gEarth) * (√gEarth/√gEarth) = 2π√(10gEarth/gEarth^2) = 2π√(10/9.81) s.

Therefore, the answer is (d) 1/√10 s.

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Answer:

a) see explanation

b) 40%

Explanation:

a) sorry, i can't specifically help with this one unless you attach a picture of the venn diagram. but the way venn diagrams work is that you draw several circles, each representing a trait (i.e. plays rugby). circles will overlap if someone has more than one trait (i.e. plays both sports).

b) the probability is 10 ÷ 25 × 100% = 40%.

i hope this helps! :D

Dawn sold $600, Bob sold $480, and Susan sold $400 in total for the day.

To find out how much each person sold in total for the day, we need to solve the given equations. Let's assign variables to the unknowns:
- Let's say Dawn's sales are represented by D
- Bob's sales are represented by B
- Susan's sales are represented by S

According to the information provided, we have three equations:

1. Dawn's sales were $120 more than Bob's sales:
  D = B + $120

2. Bob and Susan combined to sell $280 more than Dawn:
  B + S = D + $280

3. The combined sales of Dawn, Bob, and Susan were $1480:
  D + B + S = $1480

We can now solve these equations simultaneously to find the values of D, B, and S.

First, let's substitute the value of D from equation 1 into equation 2:
B + S = (B + $120) + $280
B + S = B + $400

Next, let's simplify equation 2:
S = $400

Now, let's substitute the values of D and S into equation 3:
(B + $120) + B + $400 = $1480
2B + $520 = $1480
2B = $1480 - $520
2B = $960
B = $960 / 2
B = $480

Finally, let's substitute the value of B into equation 1 to find the value of D:
D = B + $120
D = $480 + $120
D = $600

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The number to multiply with 3 / - 12 to get 5 / 3 is - 20 / 3.

Let's express the expression into an equation before finding the value you can multiply - 3 / 12 to get a product of 5 / 3.

Therefore, let the number be x

Hence,

3 / -12 × x = 5 / 3

multiply both sides of the equation by - 12

3x = 5 / 3 × - 12

3x = - 60 / 3

3x = -20

divide both sides by 3

x = - 20 / 3

Therefore, the number to multiply is - 20 / 3.

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The probability that at least one of the four Indiana adults selected is a gun owner is approximately 0.52.

To find the probability that at least one of the four Indiana adults selected is a gun owner, you can use the complementary probability principle, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

In this case, the probability that none of the four Indiana adults selected is a gun owner is \((1 - 0.338)^4 = 0.48\) Therefore, the probability that at least one of the four Indiana adults selected is a gun owner is 1 - 0.48 = 0.52.

Therefore, the probability that at least one of the four Indiana adults selected is a gun owner is approximately 0.52.

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To verify if older adults and middles ages people spend less time on social media, Justin can use the Analysis of variance (ANOVA) test.

ANOVA is used to compare means across two or more groups. Justin can use this test on the different category of younger adults, middle-aged and older adult. This test is done when there is statistically significant difference between the group of samples.

Justin can utilize post-hoc tests (such as Tukey's HSD and Bonferroni) to identify whether particular groups are statistically different from one another if an ANOVA shows a significant difference.

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Divide the mass value by 7000

1 grain = 0.000142857 pounds.

“Pounds” derives from the name of an ancient Roman unit of measurement, Libra pondo. This Latin phrase translates to “a pound by weight.” Our word “pound” comes from pondo, and its seemingly unrelated abbreviation, “lb,” comes from the libra part.

1 grain is equal with 0.000142857 pounds

1 gr is equal with 0.000142857 lb

1 pound is equal with 1 divided by 0.000142857 grains

1 lb = 1 / 0.000142857 gr

Now, We have to calculate the grains to lbs

Formula :Divide the mass value by 7000

1 grain = 0.000142857 pounds.

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Step-by-step explanation:

x-25= 6x-5

-5x = 20

x=-4

The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

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Answer: 55

Step-by-step explanation:

x+125=180

subtract 125 on each side

when you do that 125 cancels out and your left with

180-125=55

The value of x from the given triangle is 55°.

Given that, a side of the triangle below has been extended to form an exterior angle of 125°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

From given figure, the exterior angle of tringle is 125° and x is adjacent angle to that.

Now, 125°+x=180°

⇒ x=180°-125°

⇒ x=55°

Hence, the value of x from the given triangle is 55°.

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Answer:

It will take 9 weeks

Step-by-step explanation:

56 + 8x \(\geq \) 123

8x  \(\geq \) 67

x  \(\geq \) 8.375

An image of dilation is given. It is required to determine if the dilation is an enlargement or a reduction and then find the scale factor.

Notice that the center of dilation is point O.

Notice also that point P is on the vertex of the pre-image and point P' is on the vertex of the image.

Since the pre-image is a smaller triangle than the image, it follows that the dilation is an enlargement.

The scale factor is the ratio of the distance of corresponding vertices to the center of dilation.

It follows that the scale factor is:

The scale factor is 3/2.

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

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