20. Steve has $30 and he earns $5 an hour parking cars. Write an equation to represent how much
money in dollars (m) Steve has after any number of hours parking cars (h). Then use the equation to
determine after how many hours of parking cars willSteve have $105. (Show your work)

Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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The diameter of the cylinder is approximately 22.98 inches.

To find the diameter of the cylinder, we need to first find the radius using the formula for the volume of a cylinder:
Volume = π × r² × h
Given:
Volume (V) = 2908.33 in³
Height (h) = 7 inches
We will rearrange the formula to find the radius (r):
r² = Volume / (π × h)
Now, plug in the given values:
r² = 2908.33 / (π × 7)
r² ≈ 131.95
Now, find the square root to get the radius:
r ≈ √131.95
r ≈ 11.49 inches
Since the diameter is twice the radius, we can find the diameter (d) by:
d = 2 × r
d = 2 × 11.49
d ≈ 22.98 inches.

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Answer:

area of triangle

= 1/2 × base × height

= 1/2 × 3 units × 4 units

= 6 units²

Answer:

(2, -1).

Step-by-step explanation:

y = 1/4x^2 - x - 1

First convert to vertex form:

y = 1/4(x^2 - 4x) - 1

y = 1/4[(x - 2)^2 - 4] - 1

y =  1/4(x - 2)^2 - 2

The formula for the focus of the parabola y = a(x - h)^2 + k is (h, k+1/4a)

So here it is:

(2, -2+1/ 4*1/4)

=  (2, -1).

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

9514 1404 393

Answer:

  y = -2

Step-by-step explanation:

The given line is a vertical line, so a perpendicular line will be a horizontal line. It will have an equation of the form ...

  y = constant

In order for the line to go through the given point, the constant in the equation must be the same as the y-coordinate of the point: -2.

Your perpendicular line is ...

  y = -2

Answer:

y=-2

Step-by-step explanation:

  Slope = 8 is the value of  equation of Slope Intercept Form .

What does the Slope Intercept Form Equation stand for?

A straight line's slope and the location of its y-axis intersection are utilized to determine the general equation of the line using the slope intercept equation. Y = mx + b is the slope intercept form equation. One formula for figuring out a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

Y= 8x + 5

Compare the equation to the y = mx + c

       slope = 8

             c = 5

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Answer:

2x + 24

Step-by-step explanation:

The product of 2 and a number is: 2x

because product means multiply. 2 and a number means 2 times an unspecified number represented as x. 24 more than that product just means to add 24 to the product of 2x.

Answer:2x + 24

Sorry I was gonna do it when it was posted but I was grounded that time sorry. Have a great day!

Answer:in engla

Step-by-step explanation:

1 degree equation system with two unknown addition methods.

Johan and Enik are playing with chips. In each round, a player can win a maximum of 5 chips from his opponent. Whoever has the most chips at the end of the game is the winner. At the beginning of a certain round, Johan thinks: "If I can win 5 chips, then I have three times more than Erik" Erik, in turn, thinks: "If I can get 5 chips out of Johan, then I will have twice that. if he". How many chips did each start in that round?

Answer:

22.98

Step-by-step explanation:

The right triangle that contains the diagonal the problem asks for has legs c and e and a hypotenuse d. You will need another right triangle to find the value of e. Using the base of the container, you have a right triangle with legs a and b and a hypotenuse e. The container is 8 ft wide. This is the value of b. The container is 20 ft long. This is the value of a.

a2+b2=e2202+82=e2400+64=e2464=e2464−−−√=e2−−√±21.54≈e

The problem tells you that the container is 8 ft tall. This is the value of c. Now that you have e, you can solve for d.

c2+e2=d282+(21.54)2≈d264+464≈d2528≈d2528−−−√≈d2−−√±22.98≈d

The length of a diagonal from a top corner to the opposite bottom corner of the container is approximately equal to 22.98 ft. Remember that length cannot be negative.

Answer: 1

Step-by-step explanation:

-11, -7, -3...

you add 4 each time so the next number would be 1

Answer:

positive 1

Step-by-step explanation:

the distance between -11, -7, and -7, -3 is four, 4, so -3 plus 4 equals positive 1

Answer: 6

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78

Then the greatest common factor is 6.

Heres something you need to learn about the greatest common factor (gcf)

What is the Greatest Common Factor?

The largest number, which is the factor of two or more numbers is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors that are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Let us consider the example given below:

Greatest Common Factor (GCF)

For example – The GCF of 18, 21 is 3. Because the factors of the number 18 and 21 are:

Factors of 18 = 2×9 =2×3×3

Factors of 21 = 3×7

Here, the number 3 is common in both the factors of numbers. Hence, the greatest common factor of 18 and 21 is 3.

Similarly, the GCF of 10, 15 and 25 is 5.

How to Find the Greatest Common Factor?

If we have to find out the GCF of two numbers, we will first list the prime factors of each number. The multiple of common factors of both the numbers results in GCF. If there are no common prime factors, the greatest common factor is 1.

Finding the GCF of a given number set can be easy. However, there are several steps need to be followed to get the correct GCF. In order to find the greatest common factor of two given numbers, you need to find all the factors of both the numbers and then identify the common factors.

Find out the GCF of 18 and 24

Prime factors of 18 – 2×3×3

Prime factors of 24 –2×2×2×3

They have factors 2 and 3 in common so, thus G.C.F of 18 and 24 is 2×3 = 6

Also, try: GCF calculator

GCF and LCM

Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.

Least Common Multiple of two or more numbers is the smallest number (non-zero) that is a multiple of all the numbers.

Factoring Greatest Common Factor

Factor method is used to list out all the prime factors, and you can easily find out the LCM and GCF. Factors are usually the numbers that we multiply together to get another number.

Example- Factors of 12 are 1,2,3,4,6 and 12 because 2×6 =12, 4×3 = 12 or 1×12 = 12. After finding out the factors of two numbers, we need to circle all the numbers that appear in both the list.

Greatest Common Factor Examples

Example 1:

Find the greatest common factor of 18 and 24.

Solution:

First list all the factors of the given numbers.

Factors of 18 = 1, 2, 3, 6, 9 and 18

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The largest common factor of 18 and 24 is 6.

Thus G.C.F. is 6.

Example 2:

Find the GCF of 8, 18, 28 and 48.

Solution:

Factors are as follows-

Factors of 8 = 1, 2, 4, 8

Factors of 18 = 1, 2, 3, 6, 9, 18

Factors of 28 = 1, 2, 4, 7, 14, 28

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest common factor of 8, 18, 28, 48 is 2. Because the factors 1 and 2 are found all the factors of numbers. Among these two numbers, the number 2 is the largest numbers. Hence, the GCF of these numbers is 2.

If you know it, dont read it

Answer: Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits is 2,463,534.

To find the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits, we can start by considering the largest possible values for each digit.

Since we need to use seven distinct digits, let's assume we have the digits 1, 2, 3, 4, 5, 6, and 7 available.

To maximize the product, we want to use the largest digits in the higher place values and the smallest digits in the lower place values.

For the four-digit number, we can arrange the digits in descending order: 7, 6, 5, 4.

For the three-digit number, we can arrange the digits in descending order: 3, 2, 1.

Now, we multiply these two numbers to find the greatest possible product:

7,654 * 321 = 2,463,534

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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It would take approximately 2.86 gallons of standard interior latex paint to cover 1000 square feet with one coat, but this estimate may vary depending on several factors.

To determine the amount of paint needed to cover 1000 square feet, several factors must be considered, including the type of paint being used, the surface being painted, and the number of coats required.

Assuming a standard interior latex paint with a coverage rate of approximately 350 square feet per gallon, it would take approximately 2.86 gallons of paint to cover 1000 square feet with one coat. However, it is important to note that this is just an estimate and may vary depending on the specific circumstances of the project.

Factors such as the porosity and texture of the surface being painted, as well as the color and quality of the paint being used, can all affect the coverage rate. Additionally, if multiple coats are required or if there are areas that require more than one coat for complete coverage, more paint will be needed.

It is always recommended to consult with a professional painter or refer to the manufacturer's instructions for specific guidance on how much paint is needed for a particular project.

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Answer:

10 MILES

20 MINUTES

20 MILES

30MINUTES

Answer:

a)30 mph

b.)40 mph

c.)36mph

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving for x:

The lengths of the sides of the triangle with vertices A(2,-1,4), B(-2,3,9), and C(6,4,8) are approximately 10.63, 7.07, and 7.81 units.

To find the lengths of the sides of the triangle, we can use the distance formula in three-dimensional space. The distance formula is derived from the Pythagorean theorem, where the distance between two points P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) is given by:

d(PQ) = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Applying this formula to our triangle, we can calculate the lengths of the sides as follows:

1. Side AB:

  AB = √((-2 - 2)² + (3 - (-1))² + (9 - 4)²)

     = √((-4)² + (4)² + (5)²)

     ≈ √(16 + 16 + 25)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

2. Side BC:

  BC = √((6 - (-2))² + (4 - 3)² + (8 - 9)²)

     = √((8)² + (1)² + (-1)²)

     ≈ √(64 + 1 + 1)

     ≈ √66

     ≈ 8.12 units (rounded to two decimal places)

3. Side CA:

  CA = √((6 - 2)² + (4 - (-1))² + (8 - 4)²)

     = √((4)² + (5)² + (4)²)

     ≈ √(16 + 25 + 16)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

Therefore, the lengths of the sides of the triangle ABC are approximately 7.55, 8.12, and 7.55 units.

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Answer:

The interquartile range of data for Music Player X is greater than the interquartile range of the data for Music Player Y.

Step-by-step explanation:

just took the test

Answer:

B 2.95

Step-by-step explanation:

The magnitude of w is |w| = 2.95 , Option B is the correct answer.

Any object that has both magnitude and direction is called a Vector.

It is given that

|u| = 2 at 0 degree

|v| = 4 at 45 degree

The magnitude of the vector w = | u -v| = ?

The resultant angle will be 45 degree

By applying Cosine law

w = | u -v| = \(\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}\)

w = | u -v| = \(\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}\)

w = 2.947 = 2.95

Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.

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The null hypothesis and the alternate hypothesis for the set of elementary school children is given by H₀ :  μ₁ = 2 and H₁ : μ₂  ≠ 0 and the p-value is 0.136 .

Given x₁ = 74 , x₂ = 72

s₁ = 9 , s₂ = 11 (standard deviation)

n₁ = 50 ,n₂ = 50

Let μ₁ be the true mean for x₁

Let μ₂ be the true mean for x₂

null and alternate hypothesis:

H₀ :  μ₁ - μ₂  = 0

H₁ : μ₁ - μ₂  ≠ 0

Test statistic ,

Z = (x₁ - x₂ - D₀ ) / (√σˣ₁² /n₁ + √σˣ₂² /n₂ )

Now we will substitute the values to calculate the the test statistic.

D₀ = μ₁ - μ₂

hence Z₀ = (74 - 72) / √(81/80+121/50)

or,  Z₀ = 1.49256..

or,  Z₀ ≈ 1.49

Now we will calculate the p-value using the z-score.

p-value:

= 2P(Z > Z₀)

= 2P(Z>1.49)

= 2 {1-0.93189}

= 0.1362...

≈ 0.136

Hence the p-value is 0.136 .

A hypothesis is presented as a theory to explain a certain phenomenon. A hypothesis cannot be said to as a scientific hypothesis if it cannot be tested using the scientific process.

History-based observations that can't currently be fully explained by existing bodies of knowledge are typically where science starts. A hypothesis is a theory put out to explain an observed occurrence or a proven assertion regarding the relationship between two or more variables in a scientific field.

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Answer:

7/8,5/6

Step-by-step explanation:

Two fractions are equivalent when their division is equal to one.

When we are dividing fractions, we multiply the numerator by the inverse of the denominator.

1/9,2/18

7/8,5/6

The division is not 1, so this par of fractions is not equivalent.

3/16, 9/48

6/15, 4/10​

The answer is option a. ( 15, -1 )

Let the other endpoint of the line segment's other endpoint's coordinates be (x, y).

We can apply the midpoint formula since we know that the line segment's midpoint is at (6, 2):

( ( x + ( -3 ) ) / 2, ( y + 5 ) / 2 ) = ( 6, 2 ) ( 6, 2 )

When we simplify this equation, we obtain:

(x - 3) / 2 = 6 and (y + 5) / 2 = 2

When we solve for x and y, we obtain:

x - 3 = 12 and y + 5 = 4

x = 15 and y = -1

Hence, the opposite endpoint's coordinates are (15, -1).

Therefore, option a.) is the correct response (15, -1).

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Answer: 3.3735675e+13

Step-by-step explanation:

Answer:

33735675396000 you're welcome

Answer:

honestly i dont know :(

Step-by-step explanation:

Answer:

a: -5

k: 1/4

d: 3

c: 2

\(g(x) =2-\frac{5}{4(x-3)}\)

Step-by-step explanation:

Explanation is in Picture. Reflections across x-axis make a negative.

For b), look up 'Transformations of the 1/x function' and watch the video by Ragini Narasimhan. He explains it well

Answer:

The answer is 5398444

Answer:

420−69+80085+5318008

=5398444

Step-by-step explanation: