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Answer:

59/130

Step-by-step explanation:

Answer:

About 62.5%

Step-by-step explanation:

To determine the population after a certain number of years, we substitute the value of x into the function. After 20 years, there will be 60 * 2^2 = 240 foxes. After 29 years, there will be 60 * 2^2.9 ≈ 522 foxes.

In the given function y = 60 * 2^x, the base 2 represents the doubling effect every 10 years, and x represents the number of 10-year periods.

To find the population after 20 years, we substitute x = 2 into the function:

y = 60 * 2^2 = 60 * 4 = 240 foxes

Therefore, after 20 years, there will be 240 foxes in the population.

To find the population after 29 years, we substitute x = 2.9 into the function:

y = 60 * 2^2.9 ≈ 60 * 8.574 = 514.44 ≈ 522 foxes (rounding to the nearest whole number)

Therefore, after 29 years, there will be approximately 522 foxes in the population.


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The height to the top of Mt. Kaala above the level of the road as required in the task content is; 2.72km.

It follows from the attached image which is a representation of the situation as described in the task content that the height of Mt. Kaala relative to the level of the road is represented by x.

Therefore, by trigonometric ratios where Tan(theta) = opposite/adjacent; we have;

Tan(10.83) = x/(y+7) and hence;

x = (y + 7) tan (10.83).

Also; Tan(20.67) = x/y and hence;

x = y tan 20.67

Since; x = x; we have;

y tan(20.67) = (y + 7) tan (10.83)

0.37727y = 0.19130y + 1.33912

0.18597y = 1.33912

y = 7.2007.

Therefore, since the value of y is as determined above, it follows that the height to the top of Mt. Kaala, x can be determined as follows;

x = 7.2007 (tan 20.67)

x = 7.2007 × 0.37727

x = 2.7166km.

Ultimately, when rounded to the nearest hundredth place; the height, x = 2.72 km.

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Answer:

5/33

Step-by-step explanation:

five apples and seven peaches = 12 total

P( apple) = number of apples / total

               = 5/12

No replacement since you ate it

four apples and seven peaches = 11 total

P( peach) = number of peach / total

               = 4/11

P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33

Answer:

1

Step-by-step explanation:

substitute -2 for x

3(-2) + 7

-6 + 7

1

hope it helps :)

mark brainliest!!

Answer:

not exactly sure what is being asked butttt i think it's 90

Step-by-step explanation:

Answer:

177 x 44 = 7788

Basically I did it with a format-

{Bottom number x every top number}

{Add 0}

{Other bottom number x every top number}

{Add it all up}

{Get your final result!}

The results of the given expressions include the following:

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Part 1.

Based on the information provided, we have the following mathematical expression:

2 - 6(4 - 7)²

2 - 6(-3)²

2 - 6(9)

2 - 54

-52

Part 2.

6x - 4

6(-2) - 4

-12 - 4

-16

Part 3.

−5x² − x + 9

−5(-3)² − (-3) + 9

-5(9) + 3 + 9

-45 + 12

-33

Part 4.

7x - 1 - 4x + 5

3x + 4

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Answer:

x = 6

Step-by-step explanation:

4x - 7 + 3x = 35

Collect like terms;

7x - 7 = 35

Add 7 to both sides;

7x = 42

Divide both sides by 7;

x = 6

The general indefinite integral of ∫(x² + 1 + (1/x²+1))dx is (1/3)x³ + x + (1/2)ln|x² + 1| + C

To find the general indefinite integral of ∫(x² + 1 + (1/x²+1))dx, we can use the linearity property of integration and integrate each term separately.

The integral of x² with respect to x is (1/3)x³ + C₁, where C₁ is the constant of integration.

The integral of 1 with respect to x is simply x + C₂, where C₂ is another constant of integration.

To integrate (1/(x²+1)), we can use the substitution method by letting u = x² + 1. Therefore, du/dx = 2x and dx = (1/2x)du. Substituting these expressions, we get:

∫(1/(x²+1))dx = (1/2)∫(1/u)du

= (1/2)ln|u| + C₃

= (1/2)ln|x² + 1| + C₃

where C₃ is another constant of integration.

Therefore, the general indefinite integral of ∫(x² + 1 + (1/x²+1))dx is:

(1/3)x³ + x + (1/2)ln|x² + 1| + C

where C is the constant of integration that accounts for any possible constant differences in the integrals of each term.

In summary, to find the general indefinite integral of a sum of functions, we can integrate each term separately and add up the results, including the constant of integration. When necessary, we can use substitution to simplify the integration process for certain terms.

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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Answer:

a/8 or a over 8 hope this helps

Step-by-step explanation:

Answer:

n

8

→

I used

n

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

n

) and

8

would be

n

8

The absolute value of the complex number 3-6i is approximately 6.708.

Plotting the complex number on the complex plane, we move 3 units to the right (positive real direction) and 6 units down (negative imaginary direction) from the origin (0, 0).

This places the complex number at the point (3, -6) on the plane.

To find the absolute value (also known as the modulus or magnitude) of a complex number, we can use the formula:

|z| = sqrt(Re(z)^2 + Im(z)^2),

where Re(z) represents the real component of the complex number and Im(z) represents the imaginary component.

Applying this formula to the complex number 3-6i:

|3-6i| = sqrt(3^2 + (-6)^2)

= sqrt(9 + 36)

= sqrt(45)

=6.708

Therefore, the absolute value of the complex number 3-6i is approximately 6.708.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

BGHUYVGF

Step-by-step explanation:

TRUGT

Answer:

hellokdhsvksfj sks m fsn cjdwnsdd

Answer:

E

Step-by-step explanation:

The sum of the 3 angles in Δ PQT = 180°

Subtract the sum of the 2 given angles from 180° for ∠ PQT

∠ PQT = 180° - (45 + 75)° = 180° - 120° = 60°

The opposite angles in a parallelogram are congruent , then

∠ QRS = ∠ PQT = 60° → E

The expression that can be used  to find the temperature at noon is

–22.4 + 12.8 option B

Generally, The word "temperature" refers to the degree to which something is hot or cold and may be described using a number of different scales, such as Fahrenheit and Celsius.

The direction in that heat energy will spontaneously flow is indicated by temperature; specifically, it will flow from a hotter body (one that is at a higher temperature) to a colder one (one at a lower temperature).

In conclusion,  the temperature was 22.4°F below zero meaning

-22.4F in mathematical terms

and  12.8°F above zero in mathematical terms

Therefore, –22.4 + 12.8 is the expression that can be used  to find the temperature at noon

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Answer:

y = -3, r = 25/4

Step-by-step explanation:

4r+5y = 10

-1 - 8 = 3y <--- This can be simplified to:

-9 = 3y

-3 = y

Now we plug -3 into y in the first equation

4r + 5y = 10

4r + 5(-3) = 10

4r - 15 = 10

4r = 25

r = 25/4

Since Sophie can grade 11 papers per hour

Since she worked for 5 hours, then

Multiply 11 by 5 to find the number of the graded papers

Since the total number of papers is 86, then to find the number of the remaining papers subtract 55 from 86

There were 31 paper Sophie has to grade after working 5 hours

Applying the rule of  angle of intersecting chord, the value of arc AC is

The measure of arc AC is done using the concept of 2 chords intersecting inside a circle this results to the formula

angle x = 1/2 (measure of arc AC + measure of arc BD)

Solving for measure of arc AC

2 * angle x = measure of arc AC + measure of arc BD

measure of arc AC = 2 * angle x - measure of arc BD

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Answer:

y = 2

x = 4

Step-by-step explanation:

The given is a special right triangle, the measure of its interior angles is as follows:

90-60-30 and side lengths would be:

2a - a\(\sqrt{3}\) - a

as shown in image the side length that sees angle measure 60 is 2\(\sqrt{3}\)

so the number represented by a is = 2 therefore y = 2 and x = 4

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The probability that the nurse will find the two patients is P =  0.49.

We know that the probability that the nurse finds the client on a particular day is 0.7

So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.

So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7

And the probability that she will find the client on the second home is 0.7

Then the joint probability (the product of the two individual ones) is:

P = 0.7*0.7 = 0.49

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