In the figure, m1= (2x) and m2 = (x+36)⁰.
A
(a) Write an equation to find x. Make sure you use an "=" sign in your answer.
Equation: (3x +36) = 90
(b) Find the degree measure of each angle.
M<1=
M<2=

Answer:

The answer is 8.15

Answer:

$30.21

Step-by-step explanation:

Marcus buys a shirt for $9 and a pair of jeans for $28.50. If the sales tax is 6%, what is the total price Marcus pays for the items?​

Tax adds an additional 6% to the sales price so:

106% = 1.06

1.06 * 28.5 = $30.21

The assumption that the CAL will be on the first available CAT date is a common misconception among many individuals.

The actual CAT date for the CAL varies depending on several factors such as availability, testing center location, and scheduling. The CAL is a standardized test designed to measure a student's cognitive abilities and readiness for college-level coursework. The test comprises various sections, including critical reading, mathematics, and writing skills.

The scores from the test can help colleges and universities make informed decisions about students' readiness to pursue a college degree. Therefore, it is essential to understand the actual CAT date for the CAL and plan accordingly to ensure you have enough time to prepare and review your test results before applying to college.

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The p-value of the test claim is calculated as; p < 0.00001.

The z-score between two samples is expressed as;

z =  (x₁ – x₂)/√(σ₁²/n₁) + (σ₂²/n₂)

The parameters given are;

Sample mean 1: x₁ = 23.38

Sample mean 2: x₂ = 18.69

Sample standard deviation 1: σ₁ = ?

Sample standard deviation 2: σ₂ = ?

Sample size 1: n₁ = 40

Sample size 2: n₂ = 35

standard error = sample standard deviation /√(sample size)

σ₁ = 23.38/√40

σ₁ = 3.697

σ₂ = 18.69/√35

σ₂ =  3.159

Thus;

z = (23.38 – 18.69)/√(3.697²/40) + (3.159²/35)

z = (23.38 – 18.69)/0.792

z = 5.92

From online p-value from z-score calculator, p < 0.00001.

Thus, the p-value is less than the significance value and the results are significant and alternate hypothesis is accepted.

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Answer:

You can buy 4 $25 tickets with $100

Step-by-step explanation:

25 X 4 = 100

Answer:

C and E

Step-by-step explanation:

C involves like terms, containing the variable k.

E also:  the variable in question is a.

Answer:

-3 less than or equal to y < 3

Step-by-step explanation:

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

Answer:

b=5

Step-by-step explanation:

Answer:

b=5

Step-by-step explanation:

Not copying....

have a nice day

The output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33

Given the data in the question;

To determine the output value of f(11), replace all the occurrence of x with 11 in the function.

f(x) = ( x − 2 )2 + 15

f(11) = (11−2)2 + 15

f(11) = (9)2 + 15

Remove the parenthesis

f(11) = 9×2 + 15

f(11) = 18 + 15

f(11) = 33

Therefore, the output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33.

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To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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The general solution of the given differential equation is y = C1e^(-3x) + C2xe^(-3x) + 3x^2 - 4x + 1.

To find the general solution of the differential equation y" + 6y' + 9y = 27x^2 + 3, we can first find the complementary solution by solving the homogeneous equation associated with it, and then find a particular solution for the non-homogeneous equation.

Homogeneous Equation: y" + 6y' + 9y = 0

To find the complementary solution, we assume y = e^(mx), where m is a constant. Substituting this into the homogeneous equation, we get:

m^2e^(mx) + 6me^(mx) + 9e^(mx) = 0

Factoring out e^(mx), we have:

e^(mx)(m^2 + 6m + 9) = 0

For this equation to hold true, either e^(mx) = 0 (which is not the case) or (m^2 + 6m + 9) = 0.

Solving the quadratic equation, we find that m = -3.

Therefore, the complementary solution is y_c = C1e^(-3x) + C2xe^(-3x), where C1 and C2 are arbitrary constants.

Non-Homogeneous Equation: y" + 6y' + 9y = 27x^2 + 3

To find a particular solution for the non-homogeneous equation, we can use the method of undetermined coefficients. We assume a particular solution of the form y_p = Ax^2 + Bx + C, where A, B, and C are constants.

Substituting this particular solution into the non-homogeneous equation, we get:

2A + 6(2Ax + B) + 9(Ax^2 + Bx + C) = 27x^2 + 3

Simplifying and equating coefficients, we have:

(9A)x^2 + (12A + 9B)x + (2A + 6B + 9C) = 27x^2 + 3

Comparing the coefficients, we get the following system of equations:

9A = 27

12A + 9B = 0

2A + 6B + 9C = 3

Solving this system of equations, we find A = 3, B = -4, and C = 1.

Therefore, the particular solution is y_p = 3x^2 - 4x + 1.

General Solution: The general solution is the sum of the complementary solution and the particular solution:

y = y_c + y_p

 = C1e^(-3x) + C2xe^(-3x) + 3x^2 - 4x + 1

Where C1 and C2 are arbitrary constants.

So, the general solution of the given differential equation is y = C1e^(-3x) + C2xe^(-3x) + 3x^2 - 4x + 1.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

3-[1]

3-1

2

Step-by-step explanation:

=//7777/))_+++++++4

The true statements about the given graph are :

(b) It is a function.

(c) It does not represent a proportional relationship.

Given a graph.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Here take the set A has the x values and the set B has the y values.

By vertical line test, if we draw a vertical line through any point, the line only touches the graph at one point.

So this is a graph of a function.

Proportional relationships are relationships where the ratios of two y values will be equal.

And they will be linear.

Here the graph is not linear and thus not proportional.

Hence the true statements are b and c.

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Answer:

first you subtract 5 from both sides

your left with 3x=11

divide by 3 on both sides

x=3.666 repeating

Step-by-step explanation:

This statement is false because if their truth tables don't match then the analyzed statement would be false, they have to match.

The image below shows an example.

As you can observe, their truth values have to be equivalent.

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

Answer:

\(\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}\)

Step-by-step explanation:

First, make them on one side of the formula in the form of \(ax^2+bx+c=0\) which is \(4x^{2} -2x-3=0\)

Next, insert the corresponding number in the quadratic formula, \(\frac{-b+\sqrt{b^{2}-4ac } }{2a} ,\frac{-b-\sqrt{b^{2}-4ac } }{2a}\) , and the answer can be calculated.

By using the concept of direct proportion, it can be calculated that

The equation which represents the given relationship is

\(p = \frac{2}{3}m\)

What is direct proportion?

Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio

Direct proportion

Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion

The number of pages read, p, varies directly as the number of minutes spent reading, m.

So the equation is

p = km, where k is the constant of proportionality

After 15 minutes, Zoe had read 10 pages.

Putting m = 15 and p = 10

10 = k \(\times\) 15

k = \(\frac{10}{15}\)

k = \(\frac{2}{3}\)

So the equation which represents the given relationship is

\(p = \frac{2}{3}m\)

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Answer:

The Aleutian Islands are a convergent boundary.

The Mid-Atlantic Ridge is a divergent boundary.

The San Andreas Fault is a transform boundary.

Step-by-step explanation:

As for the constant speed, the resultant force on the plane is 0N.

Constant:

Constant refers the specific number or a symbol that is assigned a fixed value.

Given,

A plane is flying through the sky at a constant speed. The thrust of the aeroplane (making it go forwards) is 100n. Air resistance is also acting on the plane.

Here we need to find the resultant (overall) force be on the plane.

As we know that, The plane is moving at constant speed.

According to the Newton's 1st law, the net external force on plane must be zero. Because of the thrust produced by propeller and the air resistance are equal and are in opposite directions to produce zero net force.

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Answer:

0.65 grams

Step-by-step explanation:

0.5 of a banana is 1/2 of a banana. A full banana has 1.3g which means we can divide this by 2 to find the amount of protein in half a banana. 1.3 ÷ 2 = 0.65. There is 0.65g of protein in 0.5 of a banana.

Hope this helps!

Protein is 0.65 gram in 0.5 of a banana.

How much protein is in 0.5 of a banana?

By Unitary method,we can solve this problem.

But now question is what is the use of Unitary method ?

By some examples we can understand this concept.

Let cost of 5 pens is 50 rupees.

By Unitary method, cost of 1 pen is

\(\frac{50}{5} \\ = 10 \: rupees\)

Cost of 100 pens is \((100 \times 10) = 1000 \: rupees\)

Again length of 1 rope is 5 m

Then by Unitary method length of 5 rope is \((5 \times 5) = 25 \: m\)

Here given,One banana contains 1.3 grams of protein.

According to question we can say one banana has 1.3 grams of protein.

We want to find quantity of protein in 0.5 banana.

We know,

\(0.5 \: of \: banana = \frac{1}{2} \: of \: banana\)

Here quantity of protein in 1 banana is 1.3 grams

So,by Unitary method quantity of protein in \( \frac{1}{2} \) banana is

\((1.3 \times \frac{1}{2} ) \: grams \\ = \frac{13}{10} \times \frac{1}{2} \\ = 0.65 \: grams\)

Therefore 0.5 banana contain 0.65 grams protein.

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Explanation:

This is because

distance = speed*time

Answer:

Therefore the second pizza of 10inch is More

Y>X

Step-by-step explanation:

From the question we are told that:

Diameter of pizzas

Pizza one \(D_1=16\)

Pizza two \(D_2=10\)

Generally the equation for amount of half of pizza one X is mathematically given by

\(X=\frac{1}{2}\pi r^2\)

\(X=\frac{1}{2}\pi 8^2\)

\(X=100.53inch^2\)

Generally the equation for amount of pizza two Y is mathematically given by

\(Y=\pi r^2\)

\(Y=\pi 10^2\)

\(Y=314.16inch^2\)

Therefore the second pizza of 10inch is More

Y>X

Answer:

26

Step-by-step explanation: