If a is an invertible n×n matrix, compare the eigenvalues of a and a−1. More generally, for m an arbitrary integer, compare the eigenvalues of a and am.

Answer:

completamente respuesta

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

Answer:

None of the angles will also be equal.

Step-by-step explanation:

Given

Shape: Triangle

\(TU = 15\)

\(US = 20\)

\(ST = 14\)

Required

True statement about the angles of STU

This question would have been best answered if there are options. Since there is none, I'll answer on a general term.

From the given parameters, we can see that none of the sides of the triangle are equal.

This implies that the triangle is a scalene triangle.

Now, we have established that the triangle is scalene because \(ST \ne TU \ne US\)

For a scalene triangle STU, it is true that none of the angles will also be equal.

The exact values of sin(2x), cos(2x), and tan(2x) without solving for x are: a) sin(2x) = 2sin(x)cos(x). b) cos(2x) = cos^2(x) - sin^2(x). c) tan(2x) = 2tan(x) / (1 - tan^2(x))

(a) To find the exact value of sin(2x), we can use the double angle formula for sine:

sin(2x) = 2sin(x)cos(x)

Therefore, the exact value of sin(2x) is 2sin(x)cos(x).

(b) To find the exact value of cos(2x), we can use the double angle formula for cosine:

cos(2x) = cos^2(x) - sin^2(x)

Therefore, the exact value of cos(2x) is cos^2(x) - sin^2(x).

(c) To find the exact value of tan(2x), we can use the double angle formula for tangent:

tan(2x) = 2tan(x) / (1 - tan^2(x))

Therefore, the exact value of tan(2x) is 2tan(x) / (1 - tan^2(x)).

The exact values of sin(2x), cos(2x), and tan(2x) without solving for x are:

a) sin(2x) = 2sin(x)cos(x)

b) cos(2x) = cos^2(x) - sin^2(x)

c) tan(2x) = 2tan(x) / (1 - tan^2(x))

These formulas allow us to express the values of sin(2x), cos(2x), and tan(2x) in terms of the values of sin(x) and cos(x) without explicitly solving for x.

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Using it's probability of landing on green or orange would be of:

P(green or orange) = 3/4.

This problem is incomplete, but researching it on a search engine, it is found that:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the areas of the spinner, the probability of landing on green or orange would be of:

P(green or orange) = 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

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Answer:

60:70

Step-by-step explanation:

\( \frac{60}{x} = \frac{6}{7} \\ \\ 60 \times \frac{7}{6} = x \\ \\ 70 = x\)

Answer: all real numbers less than or equal to 3

Step-by-step explanation: third option

letter c

Answer:

all real numbers less than or equal to 3

Step-by-step explanation: Took the test

Let's denote the cost of each coffee as 'c'.Neveah bought a cupcake for $5, which we can represent as 5.

She also bought coffees for 5 coworkers, so the total cost of the coffees can be represented as 5c.

The total amount Neveah spent is $35.

Putting it all together, we can set up the equation:

5 + 5c = 35

To solve for 'c', we can isolate the variable by subtracting 5 from both sides:

5c = 30

Then, we divide both sides by 5 to solve for 'c':

c = 30/5

Simplifying the expression, we find that each coffee costs $6.

Therefore, each coffee was bought for $6.

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Answer:

(y - 2)(y + 2)

standard factorization!

tadah

Answer:

5s + 4j where s is the cost of shirts and j is the cost of jeans

Step-by-step explanation:

for shirts, we can represent it with s

for jeans, we can represent it with j

steve is buying two shirts (s) and three jeans (j), so we can write Steve's cost as 2s+3j

his brother buys three shirts (s) and one pair of jeans (j), so we can write his brothers cost as 3s+1j

now, steve's cost is 2s+3j

and his brother's is 3s+1j

we can add these together to find the total cost

2s + 3j + 3s + 1j

combine like terms

5s + 4j

The total cost of the shirts and jeans are,

⇒ 5x + 4y

Where, x is cost of each shirt and y is cost of each jeans.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

For the summer, Steve buys 2 shirts and 3 pairs of jeans. His brother buys 3 shirts and 1 pair of jeans.

Let the cost of each shirt = x

And, The cost of each jeans = y

Hence, We get;

Cost of Steve shirts and jeans = 2x + 3y

And, Cost of his brother shirts and jeans = 3x + y

Thus, The total cost of the shorts and jeans are,

⇒ 2x + 3y + 3x + y

⇒ 5x + 4y

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Answer:

Step-by-step explanation:

Answer:

98.0 > 97.7

Step-by-step explanation:

">" Means greater than

"<" Means less than

Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

Since 98.0 is greater than 97.7, you use the greater than symbol >.

Answer:

B

Step-by-step explanation:

statistical should have data and numbers that can calculate

ex Mean, Med, Mode

Answer:

A) How may students are in your math class?

This is because statistics are collecting How Many of something there is. If a question said: "How many people in your class are 5'2" that would be statistical.

Answer: The least value goes with the greatest value

Step-by-step explanation:

The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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Answer:

Yes, she should have only added the area of five of the six faces.

Step-by-step explanation:

The formula for determining the surface area of a cuboid or box is expressed as

Surface area = 2lw + 2lh + 2wh

Where l, w and h represents length, width and height of the box respectively.

2lw represents the area of the top and the bottom of the box. Since she doesn't want to cover the bottom, it becomes lw. Therefore,

Surface area = 15 + 6 + 6 + 10 + 10 = 47 in².

The cost would be

0.25 × 47 = $11.75

Therefore,

Yes, she should have only added the area of five of the six faces.

Answer: 32lb 2 oz

Step-by-step explanation:

15lb.12oz.+8lb.13oz.+7lb.9oz.​=

(15+8+7)lb + (12+13+9)oz=

30lb+34oz=

30lb+32oz+2oz=32lb 2 oz

Answer:

32lb. 2oz.

Step-by-step explanation:

For ounces: 12+13+9=34

34/16= 2lb and 2oz

For pounds

15+8+7=30

For all: 30+2= 32lb

ANSWER: 32lb. 2oz.

A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price.      R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )

Assumed in this instance is , At a price of 40 dollars apiece, \($(300)(40 \$)=12,000 \$$\) books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's \($(300-25 x)$\). Due to the fact that the price always rises by five times more than the number of books, the cost is \($(40+5 x)$\).

\($R=(300-25 x) \cdot(40+5 x)$\)

\($R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$\)

The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.

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To solve this problem, we can use the Chinese Remainder Theorem. We need to find the remainder when 2202 202 is divided by both 2101 and 251.

First, note that 2101 and 251 are relatively prime. Therefore, by the Chinese Remainder Theorem, there exists a unique remainder between 0 and 2101 * 251 - 1 (inclusive) that satisfies the two conditions.

To find this remainder, we can use the remainders when 2202 202 is divided by 2101 and 251.

Note that 2202 is congruent to 101 (mod 2101) and 0 (mod 251). Therefore, we can use the Chinese Remainder Theorem to find that the remainder when 2202 202 is divided by 2101 * 251 is congruent to:

101 * (251^2) * (251^(-1)) + 0 * (2101^2) * (2101^(-1)) (mod 2101 * 251)

Using the fact that 251^(-1) is congruent to 201 (mod 2101) and 2101^(-1) is congruent to 1922 (mod 251), we can simplify this expression to:

101 * (251^2) * (201) + 0 * (2101^2) * (1922) (mod 2101 * 251)

Simplifying further, we get:

101 * 251 * 201 (mod 2101 * 251)

This is congruent to 101 * 201 (mod 251), which is congruent to 101 (mod 251).

Therefore, the remainder when 2202 202 is divided by 2101 251 1 is 101, which is option (b).

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Answer:

x               y

4              180

8              360

12             540

Step-by-step explanation:

hope this helpss

Answer:

The correct ratios are:

1:5

4:20

Step-by-step explanation:

I hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you give me brainliest pls, im trying to rank up this month, if not then not problem! ty and let me know if you need anything else!

Answer:

1:5  4:20  

Step-by-step explanation:

Because say you got 1 right out of 5 on test you get a 20%

since 20 can go into a 100 5 times if whatever number is the 1rst time it can go into 5 it is a 20 like 4:20 because 4,8,12,16,20 see that's 5 numbers and 4 is the first.

In then 1:5 is another example it can go 5 times or one more is like 10:50=20% or 15:75.

Hope this helps have a great afternoon:)

Brutus Construction Company pays approximately 0.80% of the outstanding principal in interest each month.

To calculate the percentage of the outstanding principal that Brutus Construction Company pays in interest each month,

Calculate the monthly interest rate.

The Annual Percentage Rate (APR) is 9.60%.

To find the monthly interest rate, we divide the APR by 12: 9.60% / 12 = 0.80% (0.008 in decimal form).

Determine the number of months for the loan.

The loan is for five years, so the number of months is 5 years× 12 months/year = 60 months.

Calculate the monthly payment.

To calculate the monthly payment,

we can use a loan amortization formula or financial calculator.

For the purpose of this calculation,

we'll assume the loan is fully amortizing,

meaning the principal and interest are paid off by the end of the loan term.

In this case, the monthly payment can be calculated by dividing the total loan amount by the number of months:

$1,235,000 / 60 = $20,583.33.

Calculate the interest payment for the first month.

The interest payment for the first month can be calculated by multiplying the outstanding principal (initial loan amount) by the monthly interest rate:

$1,235,000×0.008 = $9,880.

Calculate the percentage of the outstanding principal paid in interest each month.

To find the percentage, we divide the interest payment for the month by the outstanding principal and multiply by 100:

($9,880 / $1,235,000) × 100 ≈ 0.80%.

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Every subgroup of the integers has finite index. It is True.

True. Proof: Let H be a subgroup of the integers. By the division algorithm, for any integer n and any positive integer d, there exist unique integers q and r such that n = dq + r and 0 ≤ r < d. In particular, if we take d = |H|, then for any integer n, we have n = dq + r for some integer q and some 0 ≤ r < |H|. This means that any integer n can be written in the form n = h + r for some integer h in H and some 0 ≤ r < |H|. Therefore, the residue classes {h + r : r = 0, 1, ..., |H| - 1} form a complete set of coset representatives for H in Z. Since there are |H| such cosets, it follows that [Z : H] = |H|. Therefore, every subgroup of the integers has finite index.

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A parabola is a figure similar to the following:

In the example given the parabola opens downwards and the vertex acts as a maximum point. We can also have the following:

This parabola opens upwards and the vertex acts as a minimum point.

Now, the range is the values of the y-variable that the function outputs. We notice that in the first case, the range is the values that are smaller than the y-coordinate of the vertex.

In the second case, we notice that the range is the values that are greater than the y-coordinate of the vertex.

Therefore, we can conclude that the range is determined by the vertex, therefore, the right answer would be C.

The angle between u and v is approximately 104.66 degrees. To find the angle between two vectors u and v, we can use the dot product formula:

cos(theta) = (u · v) / (||u|| ||v||)

where ||u|| and ||v|| are the magnitudes of u and v, respectively.

First, let's compute the dot product of u and v:

u · v = \((4)(5) + (3)(-12) = 20 - 36 = -16\)

Next, we need to find the magnitudes of u and v:

\(||u||\) = sqrt(\(4^2\) + \(3^2\)) = 5

\(||v||\) = sqrt(\(5^2\) + (-12\()^2\)) = 13

Now we can substitute these values into the formula for cos(theta):

cos(theta) = \((-16) / (5 * 13) = -0.246\)

To find the angle theta, we take the inverse cosine of cos(theta):

theta = \(cos^-1\)(-0.246) = 104.66 degrees

Therefore, the angle between u and v is approximately 104.66 degrees.

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Answer:

3 430534

Step-by-step explanation:

Explanation:

Wxndy~~