Jimmy fins a treasure chest packed with metallic coins. The coins have a total mass of 16905

SOLUTION

Probability for Z score is given by the formula

So from the Z score calculator, the Probability of it lasting more than 13 years = 0.67

The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.

To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.

Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).

Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.

To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.

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The triangle has 3 sides and angles. The measure of "d" from the given diagram is 6.48

The given diagram is a triangle. According to the SOH CAH TOA identity;

tan theta= opp/adj

Given the following

opp = d
adj = 7.2

Substitute

tan 42 = d/7.2

d = 7.2tan42
d = 6.48

Hence the measure of "d" from the given diagram is 6.48

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Answer:

??

Step-by-step explanation:

I dont see anything

Answer:

98

Step-by-step explanation:

180 - 122 = 58 (Value of Angle A)

58 + 24 = 82 (Sum of Angle A and B)

180 - 82 = 98

The expectation does traditional authorities now face according to the passage is they should be transparent about their beliefs and assumptions. The correct option is D.

Given a passage that is shown below in the attached images.

Option D is the best answer. Although the original passage indicated that traditional news agencies were once implicitly "commissioned" (line 29) for the content they produced, it should be noted that "as part of the transition joint agency change. . . the need is that all competent authorities clearly disclose the value frameworks that define their decisions” (lines 33-38). In other words, modern audiences not only want to hear the stories produced by a news agency, but also the values ​​that form the foundation of that organization's beliefs.

Options other than D are A, B, and C are incorrect because lines 33-38 make it clear that the expectation that traditional authorities face today is the need to "develop value frameworks" explicitly promote their decisions", rather than that they should not be 'unaffected by commercial interests' (option A), that they should work for the common good (option B) ), or they should consider the context of public and private knowledge (option C).

Hence, the expectation traditional authorities now face according to the given passage is they should be transparent about their beliefs and assumptions.

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

i'm pretty sure the correct answer is the first choice, taking medicine for a headache.

Step-by-step explanation:

hope it helps :)

Answer:

27 km²

Step-by-step explanation:

Surface Area :

Answer:

Total surface area = 27 km²

Step-by-step explanation:

The surface area of a square based pyramid comprises:

Area of a triangle = 1/2 × base × height

                             = 1/2 × 3 × 3

                             = 4.5 km²

Area of a square = (side length)²

                            = 3²

                            = 9 km²

Total surface area = 4 triangles + square base

                              = (4 × 4.5) + 9

                              = 18 + 9

                              = 27 km²

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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Answer:5/8

Step-by-step explanation: you put the numbers in a fraction the smallest goes on top and the more enormous number at the bottom you simply by finding the most significant standard number between the 2 numbers which is in this case 6 divide it by that and that is how you get your answer

Answer:

C

Step-by-step explanation:

Given 2 sides then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides, that is

9 - 5 < x < 9 + 5

4 < x < 14

Thus the third side could be 7 → C

Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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Answer:

Result: 95040 foot/minute = 1080 mile/hour, so the answer is 95040

Answer:

The volume of the cylinder is 2,400pi cubic units

Step-by-step explanation:

I hope this helps and have a good day!

Answer: (4, 0) and (0, -18)

Step-by-step explanation:

Step-by-step explanation:

12

Answer:

x = 33

Step-by-step explanation:

\(2 = log(3x + 1) \\ \\2 = log_{10}(3x + 1) \\ \\ {10}^{2} = 3x + 1 \\ \\ 100 = 3x + 1 \\ \\ 100 - 1 = 3x \\ \\ 99 = 3x \\ \\ x = \frac{99}{3} \\ \\ x = 33\)

The total volume of the silo is 116.6 m³.

It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.

Diameter of the cylinder of the silo= 4.4m

So, the radius r of the cylinder will be = 2.2m

The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)

Height h of the cylinder = 6.2m

The total volume of the silo will be the combined volume of the cylinder and hemisphere.

The volume of cylinder = \(\pi r^{2} h\)

The volume of hemisphere = \(\frac{2}{3} \pi r^{3}\)

Total volume = \(\pi r^{2} h+ \frac{2}{3} \pi r^{3}\)

total volume = \(\pi r^{2} (h+\frac{2}{3} r)\)

Total volume = \(\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)\)

Total volume = 116.6 m³.

Therefore, the total volume of the silo is 116.6 m³.

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Answer:

116.6

Step-by-step explanation:

e2020

Answer:

a

Step-by-step explanation:

step 1:

for x is less than -5 the f(x) = -3

step 2:

for x is greater than or equal to -5 and less than or equal to 15, f(x)=x+2 and since x contains the value of 15 the Value of x=15 results in f(x)=x+2 15+2=17.

step 3

for x is greater than 15, f(x)= -x+2.

only exists in the graph a.

Answer: a

Step-by-step explanation:

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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A statement that increases numpeople by 5 is

numpeople = numpeople + 5

Here's a statement that increases the value of numpeople by 5:

numpeople = numpeople + 5

After executing this statement, the value of numpeople will be increased by 5. For example, if numpeople was initially 10, the value of numpeople would be 15 after executing this statement.

Here's a complete program that demonstrates the statement:

numpeople = 10

print("There are", numpeople, "people.")

numpeople = numpeople + 5

print("There are", numpeople, "people.")

This program would output the following:

There are 10 people.

There are 15 people.

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The area enclosed by the curve r=2sin(θ) 3sin(9θ) over the interval [0,2π/9] is (243π/64) - (3√3/16).

To find the area enclosed by the curve r=2sin(θ) 3sin(9θ), we first need to determine the limits of integration for θ.

Since the curve is periodic with period 2π/9 (due to the 9 in the second term), we only need to consider the portion of the curve in the interval [0, 2π/9].

Next, we need to convert the polar equation to rectangular coordinates, which can be done using the formulas x = r cos(θ) and y = r sin(θ).

Plugging in the given equation, we get:

x = 2sin(θ) cos(θ) + 3sin(9θ) cos(θ)
y = 2sin(θ) sin(θ) + 3sin(9θ) sin(θ)

Now we can find the area enclosed by the curve by integrating over the given interval:

A = ∫[0,2π/9] (1/2) [x(θ) y'(θ) - y(θ) x'(θ)] dθ

Using the formulas for x and y, we can find the derivatives x'(θ) and y'(θ):

x'(θ) = 2cos(θ) cos(θ) - 2sin(θ) sin(θ) + 27cos(9θ) cos(θ) - 27sin(9θ) sin(θ)
y'(θ) = 2cos(θ) sin(θ) + 2sin(θ) cos(θ) + 27cos(9θ) sin(θ) + 27sin(9θ) cos(θ)

Substituting these expressions into the formula for A and evaluating the integral, we get:

A = (243π/64) - (3√3/16)

Therefore, the area enclosed by the curve r=2sin(θ) 3sin(9θ) over the interval [0,2π/9] is (243π/64) - (3√3/16).

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Answer:

Oscar 3/4

Step-by-step explanation:

Oscar 3/4

Step-by-step explanation:

the order from highest to lowest:

Oscar  3/4

Lolita  3/5

Paco  4/7

María 1/2

I hope this help you

Basically we need to find the distance between A and B, so:

Both M and S in sexagesimal notation = 3600D.

Here converting 'D' into minutes.

We know that a degree is made up of 60 minutes.

so multiply D with 60 we get

⇒ D x 60 = M

Now convert 'M' into seconds.

Again, there are 60 seconds in a minute,

so multiply M with 60 we get,

⇒ M x 60 = S

Simplify this equation by substituting D x 60 for M,

⇒D x 60 x 60 = S

Simplifying further, we get,

⇒ 3600D = S

Hence, 3600D is equal to both M and S in sexagesimal notation.

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Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:

(8.34%, 17.66%).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the estimate and the sample size are given, respectively, by:

\(\pi = 0.13, n = 200\)

Hence the bounds of the interval are:

As a percentage, the interval is:

(8.34%, 17.66%).

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Answer: 3.14

Step-by-step explanation:

Answer:

none is equal to   π

Step-by-step explanation:

no graph shown.

Taking Ω as the parallelogram bounded by

x−y=0 , x−y=2π , x+2y=0 , x+2y=π/4 the answer is (b)\((5π^3)/72.\)

We can express the integral as follows:

\(∫∫(x+y)dxdy = ∫∫xdxdy + ∫∫ydxdy\)

We can evaluate each integral separately using the limits of integration given by the parallelogram.

For the first integral, we have:

\(∫∫xdxdy = ∫₀^(π/8)∫(y-2π)^(y) x dx dy + ∫(π/8)^(π/4)∫(y-π/4)^(y) x dx dy\)

\(= ∫₀^(π/8) [(y^2 - (y-2π)^2)/2] dy + ∫(π/8)^(π/4) [(y^2 - (y-π/4)^2)/2] dy\)

\(= ∫₀^(π/8) (4πy - 4π^2) dy + ∫(π/8)^(π/4) (πy - π^2/8) dy\)

\(= (π^3 - 4π^2)/4\)

For the second integral, we have:

\(∫∫ydxdy = ∫₀^(π/8)∫(y-2π)^(y) y dx dy + ∫(π/8)^(π/4)∫(y-π/4)^(y) y dx dy\)

\(= ∫₀^(π/8) [y(y-2π)] dy + ∫(π/8)^(π/4) [y(y-π/4)] dy\)

\(= (π^3 - 7π^2/4 + π^3/32)\)

Adding the two integrals together, we get:

\(∫∫(x+y)dxdy = (π^3 - 4π^2)/4 + (π^3 - 7π^2/4 + π^3/32)\)

\(= (5π^3)/72\)

Therefore, the answer is (b)\((5π^3)/72.\)

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Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 2, 2)

m = \(\frac{2-4}{-2+6}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\) , thus

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 1 + c ⇒ c = 2 - 1 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of line

The equation of the line passes through the points (–6, 4) and (–2, 2) is y=-1/2x+1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

A line passes through the points (–6, 4) and (–2, 2).

m=2-4/-2+6

m=-2/4

m=-1/2

We need to find the equation of line.

Let us find the y intercept of point (-6,4).

4=-1/2(-6)+b

4=3+b

Subtract 3 from both sides

b=1

The equation of  line passes through the points (–6, 4) and (–2, 2).

y=-1/2x+1

Hence, the equation of line passes through the points (–6, 4) and (–2, 2) is y=-1/2x+1.

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