How do you solve for L

The answer of the given question is $6.4, this is the money that need to be added onto the bill for the tip.

How to calculate a 20% tip?

To calculate tip, we need to multiply the total bill by 1 plus the decimal percentage tip we'd like to leave. If we wanted to leave a 20% tip, we would add 1 to 0.20 to get 1.20. Then, multiply the bill by 1.20 to get the total amount we'd leave including tip.

In this case, we have a $32 bill and we would like to add on an 20% tip. So, it will be as follows:

20% = 0.20

1 + 0.20 = 1.20

Total bill will be 1.20 x $32 = $38.4

Hence, the tip amount is $38.4 - $32 = $6.4

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Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

8 students made 4 mistakes or more

Answer:B

Step-by-step explanation

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Answer:

A: 19/40

Step-by-step explanation:

LCD = 40

7*5=35 ->35/40

3*8=24 ->24/40

combine like terms

for simplicity, I'll use a mixed number

1 19/40

subtract your "full glass"

1 19/40 - 1 = 19/40

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

Step-by-step explanation:

11/15 = 73.333/100

73.333/100 = 0.73333

0.73333 = 0.73 (2sf/2dp)

Answer:

73/100

Step-by-step explanation

Since 0.73 =11/15 is false, there is no solution.

No solution

0.73  is the same as  73/100

so the answer is

73/100

in decimal form is 0.73

Answer:

Type of slope: Linear, constant, negative

Rise: 5

Run: -2

Slope: -5/2

Step-by-step explanation:

The rise is then number going up from the bottom point to the top.  It is 5 up.  The run is -3 because they you move 3 units to the left.

Answer:

See below ~

Step-by-step explanation:

Linear pairs add up to 180 degrees.

⇒ 4x - 10 + 3x + 43 = 180

⇒ 7x + 33 = 180

⇒ 7x = 147

⇒ x = 21

∠A = 4(21) - 10

∠A = 84 - 10

∠A = 74°

∠B = 3(21) + 43

∠B = 63 + 43

∠B = 106°

The distance of the jot air balloon to ground is 21.62 ft.

Here, we have,

In triangle ACB:

tan36° = x/y

x  = y tan36°

In triangle ADB:

tan25° = x/y + 12

x  = y+12 * tan25°

Therefore equating both equations gives:

y tan36°  =  y+12 * tan25°

y tan36°  =  y tan25° + 12tan25°

so, we get,

y = 21.50 ft

Therefore x = 21.50*tan(36) = 15.62 ft

The distance of the jot air balloon to ground = 15.62 + 6 = 21.62 ft

Hence, The distance of the jot air balloon to ground is 21.62 ft.

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Answer:

Step-by-step explanation:

Sammie is x,,,, Jennie is 9 years younger than him. So, Jennie ( y) = x-9

According to second condition eq is

(X-5) = 4(y-5)

Place the value of y in eq 2

You will find x= 17

Put x in eq 1

Y = 8

The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.

Hence the correct option is (A).

Here given distribution is Chi - squared distribution.

two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.

The critical value against chi squared distribution changes according to the change of the values of a and d.

The table chi squared distribution is given by,

Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.

Therefore, a = 0.01 and d = 13

From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.

Hence the correct option is (A).

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The average rate of change of the function is equal to the instantaneous rates of change at both the left and right endpoints.

For the function f(t) = 8t + 7 over the interval [1, 5]:

(a) Average rate of change:

To find the average rate of change, we use the formula:

Average rate of change = (f(b) - f(a)) / (b - a)

For the left endpoint (a = 1) and right endpoint (b = 5), we have:

Average rate of change = (f(5) - f(1)) / (5 - 1)

= (8(5) + 7 - (8(1) + 7)) / 4

= (40 + 7 - 8 - 7) / 4

= 32 / 4

= 8

So, the average rate of change of the function over the interval [1, 5] is 8.

(b) Instantaneous rates of change:

To find the instantaneous rates of change at the endpoints, we take the derivatives of the function.

f'(t) = 8

At t = 1 (left endpoint):

The instantaneous rate of change at t = 1 is given by f'(1) = 8.

At t = 5 (right endpoint):

The instantaneous rate of change at t = 5 is given by f'(5) = 8.

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To find the z-score for the amount spent yesterday by a customer which made a purchase of $32.25, we first need to calculate the standard deviation of the sampling distribution of the means.

We can use the formula:
Standard Deviation = standard deviation of population / square root of sample size
Since we don't know the sample size, we will assume that it is large enough (more than 30) and use the central limit theorem to estimate the standard deviation of the sampling distribution of the means.
The standard deviation of the sampling distribution of the means is:
Standard Deviation = 2.50 / sqrt(n)
Assuming n is large enough, we can estimate the standard deviation to be approximately:
Standard Deviation ≈ 2.50 / sqrt(30) ≈ 0.456
Now we can calculate the z-score using the formula:
z-score = (x - μ) / σ
Where:
x = $32.25 (amount spent by the customer)
μ = $28.50 (mean amount spent by a typical customer)
σ = 0.456 (estimated standard deviation of the sampling distribution of the means)
z-score = (32.25 - 28.50) / 0.456 ≈ 8.24
Therefore, the z-score for the amount spent yesterday by a customer which made a purchase of $32.25 is approximately 8.24. This suggests that the amount spent by this customer is quite unusual, as it is more than 8 standard deviations above the mean.

To calculate the z-score for a customer's purchase of $32.25 at a convenience store chain, where the mean amount spent by a typical customer is $28.50 and the standard deviation is $2.50, you can follow these steps:
1. Determine the mean (μ) and the standard deviation (σ). In this case, μ = $28.50 and σ = $2.50.
2. Identify the individual data point (x) for which you want to calculate the z-score. Here, x = $32.25.
3. Use the z-score formula: z = (x - μ) / σ.
4. Plug in the values: z = ($32.25 - $28.50) / $2.50 = $3.75 / $2.50 = 1.5.
So, the z-score for the amount spent yesterday by the customer who made a purchase of $32.25 is 1.5.

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The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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The given expression is:

The equation of a line has always the form

(Then) the equation of a line with a slope of 10 and a y-intercept of -2 is

\(\begin{cases} x = -3 &\implies x +3=0\\ x = 2 &\implies x -2=0\\ x = 4 &\implies x -4=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{ ( x +3 )( x -2 )( x -4 ) = \stackrel{0}{y}}\implies (x+3)(x^2-6x+8)=y \\\\\\ x^3-6x^2+8x+3x^2-18x+24=y\implies \boxed{x^3-3x^2-10x+24=y}\)

Answer:

fourth option

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 2(x + 4) ← is in point- slope form

with slope m = 2 and (a, b) = (- 4, 3 )

Answer: fourth answer

Step-by-step explanation: when you put it into slope point form you find out m=2 and (-4,3)

The mass of the bicycle rider is approximately 68.75 kg.

Kinetic energy  is defined as the work needed to accelerate a body of a given mass from rest to its current velocity. The formula for kinetic energy is:

Kinetic Energy = 1/2 * mass * velocity²

where mass is the mass of the object and velocity is the speed at which it is moving. Kinetic energy is a scalar quantity and is measured in joules (J) in the SI system.

We can use the formula for kinetic energy to solve for the mass of the bicycle rider:

Kinetic Energy = 1/2 * mass * velocity²

Substituting the given values, we have:

550 J = 1/2 * mass * (4 m/s)²

Simplifying and solving for mass, we get:

mass = 550 J / (1/2 * (4 m/s)²

mass = 550 J / (8 kg m²/s²

mass = 68.75 kg

Therefore, the mass of the bicycle rider is approximately 68.75 kg.

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Hello and greetings lilliepruiett.

The mass of the cyclist who is going at 4 m/s, and who has a kinetic energy of 550 Joules, is 68.75 kilograms.

It is an exercise of kinetic energy, which is the energy that an object possesses due to its movement. It is defined as the energy required to accelerate an object of a given mass from rest to its current speed. Kinetic energy can be calculated using the following formula:

Ek = (m × v²)/2

where:

This formula indicates that the kinetic energy increases as the mass of the object increases and/or its speed increases. Kinetic energy is a direct measure of an object's ability to do work due to its motion.

We have that the cyclist is going at a speed of 4 m/s, when his kinetic energy is 550 Joules, we calculate the mass.

As we are asked to calculate the mass, we solve the formula:

What we do now is; substitute the data into the cleared formula and solve for the mass of the cyclist.

m = (2 * Ek)/v²

m = (2 × 550 J)(4 m/s)²

m = (1100 J)/(16 m²/s²)

m = 68.75 kg

The mass of the cyclist who is going at 4 m/s, and who has a kinetic energy of 550 Joules, is 68.75 kilograms.

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The correct statements regarding activity diagrams are:

a. There can be multiple end points, but only one starting point.

c. A branch can have multiple incoming arrows.

d. A decision point may have more than 2 outgoing arrows.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

f. An activity can be nested within another activity.

Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:

a. There can be multiple end points, but only one starting point:

Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.

c. A branch can have multiple incoming arrows:

A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.

d. A decision point may have more than 2 outgoing arrows:

A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:

In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.

f. An activity can be nested within another activity:

Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.

In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.

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We are interested in the activity diagram. Check all the correct answers.

Please select at least one answer.

O a. There can be multiple end points, but only one starting point.

O b. Any joint must have been preceded by a branch.

O c. A branch can have multiple incoming arrows.

O d. A decision point may have more than 2 outgoing arrows.

Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

Of. An activity can be nested within another activity.

Yes, the zero vector is in the span of any set of vectors.

The span of a set of vectors is the set of all linear combinations of those vectors. Since any vector can be represented as a linear combination of itself with a scalar of 1 and the zero vector with a scalar of 0, the zero vector is always in the span of any set of vectors.

In the case of R2, the zero vector can be represented as a linear combination of v1 and v2 with scalars of 0. For example, if v1 = (a1, b1) and v2 = (a2, b2), then the zero vector can be represented as 0v1 + 0v2 = (0, 0), which is in the span of {v1, v2}.

This holds true for any number of vectors in any dimensional space. The zero vector is always in the span of any set of vectors because it can always be represented as a linear combination with a scalar of 0.

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Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 3 ) → (- 3, 3 )

(3, 4 ) → (- 4, 3 )

(5, 3 ) → (- 3, 5 )

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As we can see in the below image the gymnastic mats are making the base of the right-angled triangle, therefore,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

\(Tan (\angle ACB) = \dfrac{Height}{BC}\)

 \(Tan (30^o) = \dfrac{Height}{5\ feet}\)

\(\dfrac{1}{\sqrt{3}} = \dfrac{Height}{5\ feet}\\\\\dfrac{1 \times 5}{\sqrt{3}} = Height\\\\Height = \dfrac{5}{\sqrt{3}}\)

Multiplying √3 with both denominator and numerator,

\(Height = \dfrac{5 \times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}\\\\Height = \dfrac{5 \times \sqrt{3}}{3}\)

Hence, the height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.

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Answer: B

startFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft.

Step-by-step explanation:

Answer:

C
You have to use radius not the diameter

Answer: the answer is the second one.

Step-by-step explanation:

add

Answer:

$1.50 will be your answer!

Step-by-step explanation:

3x+3=5x

3x+3-5x-3=5x-5x-3

-2x=-3

x=1.5

Answer:

3=2x

Step-by-step explanation: