Bella and her friends have a half-day at school, so they plan to spend the afternoon
paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but
it starts to rain after paddleboarding for only of an hour! Bella is disappointed when she
of a
realizes the sun doesn't go down for another 4
hours.
Use an equation to find the amount of time Bella planned to spend paddleboarding.

Answer: It $7.80 per hour

Hi hi

Step-by-step explanation:

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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The angle between the ladder and the wall is approximately 51.3 degrees. the side opposite to angle θ has a length of 12, and the adjacent side has a length of 5.

15. f¹(x) = -2/(x-1)²

16. The exact value of sin(tan⁻¹(12/5)) is 12/13.

17. The angle between the ladder and the wall is approximately 51.3 degrees.

15. To find f¹(x), we need to determine the inverse of the function f(x) = 2/(x-1). To do this, we swap x and y in the equation and solve for y. The equation becomes x = 2/(y-1). Rearranging the equation, we get y - 1 = 2/x. Now, solving for y, we find y = 2/x + 1. Therefore, the inverse function is f¹(x) = 2/x + 1.

16. To find the exact value of sin(tan⁻¹(12/5)), we start by considering a right triangle. Let's assume one of the acute angles in the triangle is θ. tan(θ) = opposite/adjacent = 12/5. This means that the side opposite to angle θ has a length of 12, and the adjacent side has a length of 5. Using the Pythagorean theorem,

we can find the length of the hypotenuse: hypotenuse² = opposite² + adjacent². Plugging in the values, we get hypotenuse² = 12² + 5² = 144 + 25 = 169.

Taking the square root of both sides, we get the length of the hypotenuse as 13. Now, sin(θ) = opposite/hypotenuse = 12/13. Hence, the exact value of sin(tan⁻¹(12/5)) is 12/13.

17. Let's consider the given scenario where a 15m ladder rests against a wall, and the top of the ladder is 12m above the ground. We can visualize this as a right triangle,

where the ladder represents the hypotenuse, the distance along the ground represents the base, and the height of the ladder above the ground represents the opposite side. We are required to find the angle between the ladder and the wall.

Using the trigonometric function tangent (tan), we can calculate the angle. tan(θ) = opposite/adjacent = 12/15 = 4/5. To find the angle θ, we take the inverse tangent (tan⁻¹) of 4/5.

Using a calculator or reference table, we find that tan⁻¹(4/5) is approximately 38.7 degrees. However, this angle corresponds to the acute angle inside the triangle. Since the ladder is against the wall, the angle we need is the complement of 38.7 degrees, which is 90 - 38.7 = 51.3 degrees.

Therefore, the angle between the ladder and the wall is approximately 51.3 degrees.

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Answer:

x^5+5x^4+10x³+10x²+5x+1

Step-by-step explanation:

Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

304.5 cm2

Step-by-step explanation:

Think imaginatively, we got two congruent triangles and two rectangles with different dimensions.

S.A. of 2 triangles = 2*( 1/2 x B x H)

= 2*( 1/2 x 10.5 x 14) = 147 cm2

Rectangle 1 = 5*17.5 = 87.5 cm2

Rectangle 2 = 5*14 = 70 cm2

Total = 147 + 87.5 + 70 = 304.5 cm2

Answer:

Step-by-step explanation:

Here is a pizza, ordered from the Venn Pizzeria on Bayes Street. The pizza is divided into eight slices, and the slices might have pepperoni, mushrooms, olives, ...

Answer: Mr. Diaz will have 21 pieces.

Step-by-step explanation:

Given, Length of the complete piece bought by  Mr. Diaz= 7 feet

Length of each piece cut = \(\dfrac13\) foot

By division operation,

Number of pieces = ( Length of complete piece ) ÷ (Length of each piece cut)

\(=7\div\dfrac13=7\times3=21\ \ [\because a\div \dfrac{b}{c}=a\times\dfrac{c}{b}]\)

Hence, Mr. Diaz will have 21 pieces.

\( \frac{16}{3} \)

Step-by-step explanation:

\( \frac{ \frac{ - 4}{3} }{ \frac{ - 1}{4} } \)

➡️ \( \frac{ \frac{4}{3} }{ \frac{1}{4} } \)

➡️ \( \frac{4}{3} \div \frac{1}{4} \)

➡️ \( \frac{4}{3} \times 4\)

➡️ \( \frac{4 \times 4}{3} \)

➡️ \( \frac{16}{3} \)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

The solution to the given system of linear equations is the ordered pair (x, y) = (3/5, 1/2). This means that when x is equal to 3/5 and y is equal to 1/2, both equations are satisfied simultaneously.

In the first equation, One-half x minus three-fourths y equals 11/60.

By substituting x = 3/5 and y = 1/2 into this equation, we have (1/2)(3/5) - (3/4)(1/2) = 11/60, which simplifies to 3/10 - 3/8 = 11/60. By further simplifying, we get 24/80 - 30/80 = 11/60, which is true since both sides are equal to 11/60.

Similarly, in the second equation, Two-fifths x plus one-sixth y equals 3/10.

Substituting x = 3/5 and y = 1/2, we have (2/5)(3/5) + (1/6)(1/2) = 3/10, which simplifies to 6/25 + 1/12 = 3/10.

By finding a common denominator and simplifying, we get 144/600 + 50/600 = 180/600, which is also equal to 3/10.

Thus, the ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

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Answer:

Step-by-step explanation:

3*2+3*8+2-2*5=6+24-10+2=22

Answer:

6x - 11y = -13 is the answer.

Step-by-step explanation:

Let's plug in the points to see what sticks.

Start with (-4, -1)

1) 11x - 6y = 11(-4) - 6(-1) = -44 + 6 = -38 \(\neq\) 13

2) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13

3) 6x - 7y = 6(-4) - 7(-1) = -24 + 7 = -17 \(\neq\) 17

4) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13 \(\neq\) 13

The only one that fits is #2.  Let's try the other point to be sure.

2) 6x - 11y = 6(1.5) - 11(2) = 9 - 22 = -13

Answer:

160 Quarters

Step-by-step explanation:

There are 4 quarters in a dollar, and we know that there are 40 dollars. Multiply 40 by 4 to get 160

Hope this helps :-)

Answer:

there is no problem

Step-by-step explanation:

Angle Side Angle congruence ASA: Its corresponding sides between two pairs of point of intersection are equal.

Angle Angle Side congruence AAS: Two pairs with corresponding sides (not the angles) and one set of corresponding angles are equal.

If the corresponding sides and interior angles of two triangles are the same size, then the triangles are said to be congruent.

Angle Side Angle congruence:

Angle Angle Side congruence:

Thus, ASA  corresponding sides between two pairs of point of intersection are equal while in AAS two pairs with corresponding sides (not the angles) and one set of corresponding angles are equal.

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Answer:

Yes, people that taking part in an experiment are called variables.

There is normally one person called the dependent variable, and the other who is the independent variable.

The statement provided "people taking part in an experiment are called variables" is incorrect.

In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.

Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.

Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.

Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.

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Answer:

Assume we want to find the solution to this system of equations.

The solution is (2,-2)

Step-by-step explanation:

We can find the solution either mathematically or by graphing.  I'll do both.

Math:

Rearrange:

-2x-6y=8

-6y=8 +2x

y = -(1/3)x -(4/3)

---

Now use this expression of y in the second equation:

-6x-6y=0

-6x-6(-(1/3)x -(4/3)) =0

-6x + 2x +8 =0

-4x = - 8

x = 2

---

Use x = 2 in the first equation to find y:

y = -(1/3)x -(4/3)

y = -(1/3)*(2) -(4/3)

y = -(2/3) -(4/3)

y = -(6/3) or -2

The solution is (2,-2)

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

Graphing:

See attached graph.

Answer:

Step-by-step explanation:

-2x - 6y = 8

6x + 6y = 0

4x = 8

x = 2

-4 - 6y = 8

-6y = 12

y = -2

(2, -2)

Answer:

the answer is D

hope it help

Answer: D, x²-6x+9

Step-by-step explanation:

(x-3)² is the same as (x-3)(x-3).

So you would do:

x times x=x²

x times -3=-3x

-3 times x=-3x

-3 times -3=9

The equation would look like this:

x²-3x-3x+9

Then you would have to collect the like terms. Like terms are terms that have the same variables and powers. So it would look like this:

x²-6x+9

Hope this helps :)

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

In the given decay series, there are a total of 6 alpha-particle emissions, each resulting in a decrease of 4 in the atomic number and 4 in the mass number, and 4 beta-particle emissions, each resulting in a change in the atomic number but no change in the mass number.

In the radioactive decay series that begins with 23290Th and ends with 20882Pb, a total of 6 alpha-particle emissions and 4 beta-particle emissions are involved.

The decay series can be summarized as follows:

23290Th → 22888Ra → 22486Rn → 22084Po → 21682Pb → 21280Hg → 21281Tl (beta decay) → 20882Pb

In each alpha decay, an alpha particle (which consists of two protons and two neutrons) is emitted from the nucleus, resulting in a decrease of 4 in the atomic number and a decrease of 4 in the mass number.

In each beta decay, a beta particle (which is either an electron or a positron) is emitted from the nucleus, resulting in a change in the atomic number but no change in the mass number.

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The decay series can be represented as follows:

23290Th → 22888Ra → 22889Ac → 22486Rn → 22084Po → 21682Pb → 21280Hg → 21281Tl → 20882Pb

In this decay series, alpha-particle emissions occur at each step except for the decay of 22889Ac to 22486Rn, which involves the emission of a beta particle. Therefore, there are a total of 7 alpha-particle emissions and 1 beta-particle emission involved in the sequence of radioactive decays.

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The factored forms of the equations and the intercepts would be:

g(x) = x² - 4x - 21:

h(x) = x² + 8x + 12:

For g(x) = x² - 4x - 21:

To find the factored form, we need to factor the quadratic expression:

g(x) = (x - 7)(x + 3)

To find the x-intercepts, we set g(x) = 0 and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

To find the y-intercept, we set x = 0 and evaluate g(x):

g(0) = (0 - 7)(0 + 3) = -21

Therefore, the y-intercept of g(x) is (0,-21).

For h(x) = x² + 8x + 12:

h(x) = (x + 2)(x + 6)

To find the x-intercepts, we set h(x) = 0 and solve for x:

(x + 2)(x + 6) = 0

x = -2 or x = -6

To find the y-intercept, we set x = 0 and evaluate h(x):

h(0) = (0 + 2)(0 + 6) = 12

Therefore, the y-intercept of h(x) is (0,12).

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Answer: The total volume of concrete that Jimmy will need to create the 4 spheres is 38.25 cubic feet, rounded to the nearest whole number.

Step-by-step explanation:

To find the total volume of concrete needed for the 4 spheres, we need to find the volume of each sphere individually and then add them up. The formula for the volume of a sphere is (4/3)πr^3, where r is the radius of the sphere.

First, we need to find the radius of the largest sphere, which is 4 feet in diameter. The radius is half the diameter, so it is 2 feet.

The radius of the next sphere is half of the radius of the first sphere, which is 1 foot.

The radius of the next sphere is half of the radius of the second sphere, which is 0.5 feet.

The radius of the last sphere is half of the radius of the third sphere, which is 0.25 feet.

We can now use the formula to find the volume of each sphere and then add them up.

The volume of the first sphere = (4/3)π(2^3) = (4/3)π(8) = 33.49 cubic feet

The volume of the second sphere = (4/3)π(1^3) = (4/3)π(1) = 4.19 cubic feet

The volume of the third sphere = (4/3)π(0.5^3) = (4/3)π(0.125) = 0.52 cubic feet

The volume of the last sphere = (4/3)π(0.25^3) = (4/3)π(0.015625) = 0.05 cubic feet

Total volume of all spheres = 33.49 + 4.19 + 0.52 + 0.05 = 38.25 cubic feet

The total volume of concrete that Jimmy will need to create the 4 spheres is 38.25 cubic feet, rounded to the nearest whole number.

Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.

The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:

ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36

Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.

By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.

The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.

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