Ally owns a kayak rental compaly. She charges an initial fee of 15$ for each rental and an hour rate of 6$. Ally charged customers 75$. White an equation to find the number of hours she rented the kayak. use x as your variable

Answer:

440$

Step-by-step explanation:

value of X is 26 Y, is 23, Z is 8

Answer:

He needs 56c  of lemon juice to make 4 salad dressings.

Step-by-step explanation:

We only need to look at how much lemon juice to make one salad dressing which would be 14c so we have to make 4 so we would do 14x4 to get how much lemon juice you need to make 4 dressings so you would need 56c of lemon juice to make 4 dressings

Answer:

He needs 56c  of lemon juice to make 4 salad dressings.

Step-by-step explanation:

Answer:

5249 years

Step-by-step explanation:

Half-Life of Carbon-14 is approximately 5730 years.

When we want to determine the age of a fossil using carbon dating, we use the formula:

\(t=\dfrac{\ln(N/N_0)}{-0.693} \cdot t_{1/2}\)

Where:

In this case:

N(t)=100

\(N_o=53\\t_{1/2}\approx 5730$ years\)

Therefore, the age of the mummy

\(t=\dfrac{\ln(53/100)}{-0.693} \cdot 5730\\=5249.43$ years\\t \approx 5249$ years\)

Answer:

the answer is 6349 :)

Step-by-step explanation:

Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

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Answer: -7

Step-by-step explanation:

-22 -(-7)

-22 + 7

-15

Since the temperature got colder, your answer is going to be a negative number.

Answer:

Step-by-step explanation:

Your answer is B.

⚠︎ I HOPE YOU ARE DOING WELL ☻︎

HAVE A FANTASTIC DAY ꨄ︎

Answer:

The answer is B

Step-by-step explanation:

Its different from all the others

The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

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Answer:

you could use it in your job, you use math to d taxes.

Step-by-step explanation:

Answer:

9k/64^2 (9k^2/64^2)

Step-by-step explanation:

Answer:

9k^2/64

Step-by-step explanation:

3*3=9

k*k=k^2

8*8=64

The probability that all three coins will be displaying heads is 1/8 or 0.125.

When flipping a fair coin, there are two possible outcomes: heads (H) or tails (T).

Since each coin flip is independent, we can calculate the probability of all three coins displaying heads by multiplying the probabilities of each coin landing on heads.

The probability of one coin landing on heads is 1/2, or 0.5.

Since there are three coins flipped simultaneously, the probability of all three coins displaying heads is:

(1/2) × (1/2) × (1/2)

= 1/8

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Answer:

1/12 piece of fabric

Step-by-step explanation:

The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21

The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:

Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84

Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14

Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28

Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21

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Answer:

266.9cm

Step-by-step explanation:

there's no explanation.

Answer:

52.334

Step-by-step explanation:

3.14[phi] x 5 cm =15.70 x 10 [height] = 157.0 x 1/3 = 52.334

cone = phi x d x height x1/3

this is the volume btw

Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

Answer:

1C
2A
3D
4E
5B

Step-by-step explanation:

1) Scale factor -5    EXPANSION (since is higher than 1) TO THE OPPOSITE SIDE (Since is negative)

2) Scale factor 1/2    CONTRACTION  (since is lower than 1) TO THE SAME SIDE (Since is positive)

3) Scale factor -0.4    CONTRACTION  (since is lower than 1) TO THE OPPOSITE SIDE (Since is negative)

4) Scale factor 3/2 EXPANSION (since is higher than 1) TO THE SAME SIDE (Since is positive)

5) scale factor 1  NOT a dilatation since factor is positive 1.

Answer:

1 - D

2 - A

3 - C

4 - E

5 - B

Step-by-step explanation:

Using the definition of scale factor as the ratio of corresponding lengths of two similar figures, we can determine the expansion or contraction of a figure based on whether the scale factor is greater than 1 or less than 1, respectively.

Based on this definition, we can identify the scale factor in Column A as follows:

1. Scale factor = -5

This is a contraction (opposite side) because the scale factor is negative, indicating that the image is reflected across the line of reflection.

2. Scale factor = 1/2

This is a contraction (same side) because the scale factor is less than 1.

3. Scale factor = -0.4

This is an expansion (opposite side) because the scale factor is negative and less than -1, indicating that the image is reflected across the line of reflection and expanded.

4. Scale factor = 3/2

This is an expansion (same side) because the scale factor is greater than 1.

5. Scale factor = 1

This is not a dilation because the scale factor is equal to 1, which means that the two figures are the same size and shape.

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

Given the gross cost of $75,000 and net profit of 30% of the gross cost, selling and delivery expenses amounted to $12,000, the selling price is $1,09,500.

Gross cost is the entire acquisition cost of an object. It is the cost of the product before subtracting all deductions.

Thus, the gross cost of the machine purchased by the distributor = $75000.

(discounts availed by the distributed are not accounted in gross cost.)

Net profit is the amount of money your business earns after deducting all operating, interest, and tax expenses over a given period of time.

Given that, the distributor sold the machine at net profit 30% of the gross cost.

Net revenue  = gross cost + 30% of gross cost

                      \(= 75000 + \frac{30}{100}*75000\\ \\= 75000 + 22500\\\\= 97500\\\\\)

Net revenue = Selling price - Expenses

\(97500 = selling\ price - 12000\\\\selling\ price = 97500 + 12000 = 1,09,500\)

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Answer:

78 + 82 = 160cm = 1m 60 cm. + 1 m. = 2m 60cm

Step-by-step explanation:

The tower is 2m 60 cm tall.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Gabe built a toy tower that measured 1 m 78 cm.

=100+ 78

=178 cm

then the tower increases by 82 cm.

So, the tower height is

=178 + 82

=260 cm

=2m 60 cm

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Answer:

The rate of change is -2

Step-by-step explanation:

formula we will use: G(x)= \(\frac{f(b)-f(a)}{b-a}\)  [-1,2]

g(x)= \(x^3\)-5x

g(-1)=\(-1^3\)-5(-1)

g(-1)=-1+5

g(-1)=4

g(2)=\(2^3\)-5(2)

g(2)=8-10

g(2)=-2

so g(x)= \(\frac{(-2)-(4)}{(2)-(-1)}\)

g(x)= \(\frac{-6}{3}\)

g(x)=-2

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

the probability of rolling a sum of 6 with these dice is 1/6.

Step-by-step explanation:

To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:

(2,4)

(3,3)

(4,2)

For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.

For the first pair (2,4), the probability is:

(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18

For the second pair (3,3), the probability is:

(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

For the third pair (4,2), the probability is:

(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:

1/18 + 4/36 + 4/36 = 1/6

Therefore, the probability of rolling a sum of 6 with these dice is 1/6.

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).

Answer:

its A 656 ft

Step-by-step explanation:

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.