Your dog is 8 years younger than your friend. In 2 years, your friend will be three times as old as your dog. How old is your dog now?

Answer:

true

Step-by-step explanation:

The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Therefore, The approximate normal probability that more than 39 accounts receivable will contain errors is 2.28%.

The problem involves calculating the probability of finding errors in a sample of accounts receivable. We know that the true proportion of accounts receivable with errors is 0.20. The sample size is 225 accounts receivable. We want to find the probability of finding more than 39 accounts with errors. We can use the normal distribution formula to calculate this probability. By converting the problem to a standard normal distribution, we can use a z-score table to find the probability. The probability is approximately 0.0228, or 2.28%. This means that there is a 2.28% chance of finding more than 39 accounts with errors in the sample.

Therefore, The approximate normal probability that more than 39 accounts receivable will contain errors is 2.28%.

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Answer:

17 seats per row

Step-by-step explanation:

We Know

68 seats in 4 rows

How many seats per row?

We Take

68 ÷ 4 = 17 seats per row

So, there are 17 seats per row.

The answer is:

Work/explanation:

Find the number of seats per row by dividing the number of seats in all 4 rows by the number of rows:

\(\sf{68\div4=17}\)

There are 17 seats per row.

Answer: 636,000

Step-by-step explanation:

1. 8% of 300,000 is 24,000

2. Multiply 24,000 by 14 to get 336,000

3. Add 300,000 to 336,000

If this is incorrect, I think I know what I could have done wrong so just lmk

Answer:

22.02

Step-by-step explanation:

14.8+6.25+0.97 is 22.02

don't know what you mean by simplify

Answer:

The answer is 3-n2-5

<3

Answer:

x^2 + 2x - 6.

Step-by-step explanation:

(f + g)x

= f(x) + g(x)

= 2x + 1 + x^2 - 7

= x^2 + 2x - 6.

Therefore, the expected earnings of Irina's lemonade stand over the next 222 days is approximately $316.89 when rounded to the nearest cent.

To find the expected earnings of Irina's lemonade stand over the next 222 days, we need to calculate the expected value by multiplying the earnings for each possible outcome by their respective probabilities and summing them up.

Let's consider the table of earnings based on the number of rainy days:

Number of Rainy Days | Earnings

0 | $500

1 | $450

2 | $400

3 | $350

4 | $300

The corresponding probabilities for each outcome can be calculated using the given information that there is a 30% chance of rain for each day and the events are independent:

P(0 rainy days) = (1 - 0.30)^222 = 0.003607

P(1 rainy day) = 222 * 0.30 * (1 - 0.30)^221 ≈ 0.064528

P(2 rainy days) = (222 * 221 * (0.30)^2 * (1 - 0.30)^220) / 2 ≈ 0.230673

P(3 rainy days) = (222 * 221 * 220 * (0.30)^3 * (1 - 0.30)^219) / 6 ≈ 0.310392

P(4 rainy days) = (222 * 221 * 220 * 219 * (0.30)^4 * (1 - 0.30)^218) / 24 ≈ 0.280800

Now, we can calculate the expected earnings:

Expected Earnings = (P(0) * $500) + (P(1) * $450) + (P(2) * $400) + (P(3) * $350) + (P(4) * $300)

Expected Earnings ≈ (0.003607 * $500) + (0.064528 * $450) + (0.230673 * $400) + (0.310392 * $350) + (0.280800 * $300)

Expected Earnings ≈ $1.8035 + $28.9376 + $92.2692 + $108.6362 + $84.2400

Expected Earnings ≈ $316.8865

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Answer:

The answer to this question is B

Step-by-step explanation:

just believe

Answer:

A. Angles M and D

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

1) f = 16

2) h = 10

Step-by-step explanation:

all interior angles of a triangle add up to 180 degrees.

1) 46 + 67 + (4f+3) = 180

reduce:

4f+3 = 67

4f = 64

f = 16

2) 60 + 3h + 90 = 180

3h = 30

h = 10

Answer:

78° + B = 180°

B = 102°

Step-by-step explanation:

"Supplementary" means angle A and B added together are 180°.

We know A is 78, but we don't know B

Write an equation:

A + B = 180°

Fill in what we know.

78° + B = 180° this is the equation the question is asking for.

To solve, subtract 78 from both sides of the equation.

B = 102°

Answer:

sin(30)=cos(60)

Step-by-step explanation:

We can use the general form of a quadratic model:

We can find the parameters a, b and c by taking some pair of values from the table, like this:

Let's take the pair (0,0), if we replace these values for y and x into the above model we get:

Now let's take the pair (1, 2.4), by replacing these values into the above model for x and y, we get:

From this equation, we can solve for a to get:

By taking the pair (2, 9.4) we get:

We can replace the expression that we got previously a = 2.4 - b into the above equation to get:

From this expression, we can solve for b like this:

Now we can replace it into the equation a = 2.4 - b, then we get:

a = 2.4 - 0.1 = 2.3

Then we get the expression:

Now we just have to evaluate 10 km into the equation, then we get:

Then, the best prediction of the time required for the oil spill to reach a diameter of 10 km is 233 days

Answer:

I think it might be C

Step-by-step explanation:

Answer:

I think C. please give other person brainliest though!!!!

Step-by-step explanation:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The basis of the image of T is formed by the set of vectors in the x-y plane, by using the concept of Linear transformation.

For the given question, we will use the concept of Linear transformation.

A linear transformation is a function that maps one vector space to another vector space, and that preserves the vector space operations like addition and scalar multiplication. It is also known as linear mapping or linear operator and has the property that

T(ku) = kT(u) and T(u + v) = T(u) + T(v) ∀ vectors u and v and all scalars k.

There are different methods to find the basis of ker T, and im T, such as using the rank-nullity theorem, finding the reduced row echelon form of the matrix representation of T, or finding the eigenvectors and eigenvalues of T.

Let's find the basis of ker T, and the basis of im T for the given cases.

(a) T: P2 → R2; T(a + bx + cy2) = (a, b)
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, a = b = 0.

Thus, the basis of ker T is {c2}, the set of polynomials of degree less than or equal to 1.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the entire R2, and the basis of im T is {(1,0), (0,1)}.

(b) T: P2 → R2; T(p) = (p(0), p(1))
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, p(x) = 0 for all x.

Thus, the basis of ker T is {x(x - 1)}.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the set of linear combinations of the two vectors (1,0) and (0,1), which form a basis of im T.

(c) T: R3 → R3; T(x,y,z) = (x + y, x + y, 0)
The kernel of T is the set of vectors in R3 such that T(x, y, z) = (0, 0, 0), or equivalently, x + y = 0 and z = 0. Thus, the basis of ker T is {(1,-1,0), (0,0,1)}.

The image of T is the set of vectors in R3 that can be written as T(x, y, z) = (a, b, 0) for some a and b.

Thus, the image of T is the set of vectors in the x-y plane, which form a basis of im T.

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Given:

Scale factor is \(\dfrac{1}{144}\).

Length of wingspan of the airplane = 1152 inches

To find:

The length of wingspan of the model airplane.

Solution:

Scale factor is \(\dfrac{1}{144}\). It means,

1 inches of airplane \(=\dfrac{1}{144}\) inches of model airplane.

1152 inches of airplane \(=1152\times \dfrac{1}{144}\) inches of model airplane

                                       \(=8\) inches of model airplane

Therefore, the length of wingspan of the model airplane is 8 inches.

Answer:

The solution is \(z = -2.853 - i 0.927\).

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

\(z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)\)

Where \(r\) is the norm of the complex number. In this case, expression can be written as:

\(-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)\)

The real component must be equal to zero and complex component must be equal to -1. That is to say:

\(\cos 5\theta = 0\)

\(\sin 5\theta = -1\)

Possible solutions for each component are, respectively:

Real component

\(5\theta = \cos^{-1}0\)

\(5\theta = \frac{\pi}{2} \pm \pi\cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{\pi}{10} \pm \frac{\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{13\pi}{10}\), \(\frac{3\pi}{2}\)

Complex component

\(5\theta = \sin^{-1}(-1)\)

\(5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{3\pi}{2}\)

There is one solution whose argument is strictly between 180 degrees (\(\pi\)) and 270 degrees (\(1.5\pi\)).

\(z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)\)

\(z = -2.853 - i 0.927\)

A sequence can be an arithmetic sequence or geometric sequence or none.

The true statement is: (d) Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

The first two terms of the sequence are given as: -5.5, 11

Assume the sequence is an arithmetic sequence, the next two terms would be 27.5, 44.

This is gotten by adding 16.5 (the common difference) to the current terms

Assume the sequence is a geometric sequence, the next two terms would be -22, 44.

This is gotten by multiplying the current terms by 2 (the common ratio)

The above means that: Both students are correct

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Answer:

D

Step-by-step explanation:

i took the test

Answer:

step by step below

Step-by-step explanation:

(cscA+1).(1-sinA)=cosA.cotA

(1/sinA +1).(1-sinA) = 1/sinA*(1 - sinA) + 1*(1-sinA)

                             = 1/sinA - 1  + 1 - sinA

                             = 1/sinA - sinA

                             = (1 - sin²A) / sinA

                             =cos²A / sinA

                             = cosA*cosA / sinA

                             =cosA*cotA

Answer:

1Q is c

2Q is b

Step-by-step explanation:

In a contingency table, we describe the relationship between two variables measured at the ordinal or nominal level (option a).

A contingency table is a statistical table that displays the frequency distribution of two categorical variables and helps identify any associations or dependencies between them. The table organizes the data into rows and columns, with each cell representing the frequency count or proportion of observations falling into a particular combination of categories.

By examining the distribution of frequencies across the table, patterns and relationships between the variables can be discerned. This information can be useful in various fields, such as social sciences, market research, and epidemiology, for analyzing survey responses, understanding consumer preferences, or investigating the relationship between risk factors and diseases, among other applications.

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ES is 8√2 units from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given two points from the graph are S(4, 4) and E(-4, -4)

We need to find ES which means the distance between two points in units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

√(-4-4)²+(-4-4)²

√(-8)²+(-8)²

√64+64

√64×2

8√2 units.

Hence, ES is 8√2 units from the given graph.

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It will take 8 days for 50 children to catch the flu

The given equation states as follows:

P = 110/(1+7e⁻⁰²²ⁿ     (Where n stands for t)

P = 110/(1+7e⁻⁰²²ⁿ = 2.2

7.e⁻⁰²²ⁿ = 2.2 - 1

7.e⁻⁰²²ⁿ = 1.2/7

0.22n = In (12/7)

n= 8.02

Recall that n=t

Therefore t = .02

Therefore time = 8 days

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Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

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Answer:

A = 20

B = 12.5

C = 10.2

Step-by-step explanation:

A = (10 + 20 + 30)/3 = 20

B = (5 + 10 + 15 + 20) = 12.5

C = (1 + 5 + 10 + 15 + 20) = 10.2