Simplify the expression. –(10)–2


100

–100

Answer:

y=-(1/3)x - 5

Step-by-step explanation:

See attached worksheet.

Answer:

The 7th term of the geometric sequence 5, 15, 45, 135... is 3,645. a7 = 5 • 3^(7-1); a7 = 5 • 729; a7 = 3645

Step-by-step explanation:

sorry if it becomes wrong answer

Answer:

Step-by-step explanation:

the sequence has a rule of n*3

5*3=15

15*3=45

45*3=135

135*3=405

405*3=1215

1215*3=3645

Answer:

Last option

Step-by-step explanation:

If you have a plain translation (moving figures up/down/left/right), it doesn't change the size or shape of the object.

Same with reflection, it doesn't change the size or shape.

Hope this helped!

Answer:

B) 63°

Step-by-step explanation:

got it right on edge :)

Answer:

B. 63%

Step-by-step explanation:

edg 2023

A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

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Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

The matrix of a quadratic form is always a symmetric matrix.A quadratic form is a mathematical expression that consists of variables raised to the power of two, multiplied by coefficients, and added together.

It can be represented in matrix form as Q(x) = x^T A x, where x is a vector of variables and A is the matrix of coefficients. The matrix A is known as the matrix of the quadratic form.

To show that the matrix of a quadratic form is symmetric, let's consider the expression Q(x) = x^T A x. Using the properties of matrix transpose, we can rewrite this expression as Q(x) = (x^T A^T) x. Since the transpose of a matrix A is denoted as A^T, we can see that A^T is the same as A, as A is already a matrix.

Therefore, we have Q(x) = x^T A x = x^T A^T x. This implies that the matrix of the quadratic form A is symmetric, as A^T = A. In other words, the elements of the matrix A are symmetric with respect to the main diagonal. This property holds true for any quadratic form, regardless of its coefficients or variables, making the matrix of a quadratic form symmetric.

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The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

If one-third of a number y is 14, we can express this mathematically as:

1/3 y = 14

To solve for y, we can isolate y on one side of the equation by multiplying both sides by 3:

1/3 y * 3 = 14 * 3

Simplifying, we get:

y = 42

Therefore, the number is 42.

Answer:

\(3^{108}\)

Step-by-step explanation:

\((3^6)^{18}\\\text {Apply "Power of a Power" Rule: } (a^x)^y = a^{x*y}\\6*18 =108\\\text {Therefore:}\\\boxed {(3^6)^{18} = 3^{108}}\)

Answer:

3 to the 6th power is 729.

3 to the 18th power is 387420489

Step-by-step explanation:

You just multiply. Sorry I don't know how to explain I just know how to do it.

Answer:

129°

Step-by-step explanation:

∠DCE = 75

∠ECF = 54

∠DCF = ∠DCE + ∠ECF

         = 75 + 54

        = 129°

Answer:

129

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8(2) = 16

Answer:

16

Step-by-step explanation:

For mileages more than 173 miles, Company A charges less than Company B.

This can be represented as an inequality: $104 < 0.6m + 65$, where $m$ is the number of miles driven. Solving this inequality for $m$, we get $m > 173$ miles drivenThe question is asking about the mileages where Company A charges less than Company B. Company A charges a flat fee of $104 with unlimited mileage, while Company B charges an initial fee of $65 and an additional $0.60 for every mile driven. To determine the mileage where Company A charges less than Company B, we need to set up an inequality to compare the prices of the two companies. The inequality can be represented as $104 < 0.6m + 65$, where $m$ is the number of miles driven. Solving for $m$, we get $m > 173$ miles driven. Therefore, for mileages more than 173 miles, Company A charges less than Company B.

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Answer:

-8-(-11)-7

= -8+11-7

= 3-7

= -4

Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.

The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.

On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.

Let's consider a few concrete examples:

I'll let you try other natural numbers for n, and you'll find that \(\frac{5^{2n-1}}{8}\) isn't an integer.

Answer:

I think 7 is the answer

Step-by-step explanation:

Let l be 4+(2h) and solve

Answer:

11 and 12

Step-by-step explanation:

11^2<139

but

12^2>139

therefore

it lies between 11 and 12

Answer:x=125

Step-by-step explanation:

180-55=125

Answer:

Step-by-step explanation:

x+55=180[Sum of linear pair]

x=180-55

x=125

Answer:

Step-by-step explanation:

To show that X and Y are independent, we need to check that their joint PMF factorizes into the product of their marginal PMFs, i.e., PXY(k,l) = PX(k)PY(l) for all k,l.

To do this, we need to find the marginal PMFs of X and Y. We can do this by summing over all possible values of the other variable, as follows:

PX(k) = ∑l=1,2,3,... PXY(k,l) = ∑l=1,2,3,... 1/(2^(k+l))

Answer:

I think 53.334 ounces were added to dilute the lemonade

Answer:

The surface area is 80.9.

Step-by-step explanation:

The block reaches the bottom of the incline with a speed of approximately 7.66 m/s.

The acceleration of the block is given by

a = g sin 30 = 9.8 m/s² × 0.5 = 4.9 m/s²

Where g is the acceleration due to gravity.

The distance travelled by the block is given by

d = 3 m

The initial velocity of the block, u = 0

Using the kinematic equation, v² = u² + 2as

The final velocity of the block,v is given by

v = sqrt(2 × 4.9 × 3) ≈ 7.66 m/s

Therefore, the block reaches the bottom of the incline with a speed of approximately 7.66 m/s.

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Terms = 9*6 is a term

            then, 23*3 isa term

then, 14x is also a term

Answer:

3 with the 6 on top

Step-by-step explanation:

Answer:

20 centimenters

Answer:

20cm

Step-by-step explanation:

Answer: 22 people will be riding the lady trip on the ferry

The weight of the metal can be calculated by multiplying its length by its weight per inch. In this case, the metal weighs 2 1/2 pounds per inch and has a length of 3/4 of an inch. Therefore, the weight of the metal is 1 7/8 pounds.



To calculate the weight of the metal, we need to multiply its length by its weight per inch. In this scenario, the metal weighs 2 1/2 pounds per inch.

The length of the metal is given as 3/4 of an inch. To find the weight, we multiply the length (3/4) by the weight per inch (2 1/2).

First, we convert the mixed number 2 1/2 to an improper fraction: 2 1/2 = (2 * 2 + 1) / 2 = 5/2.

Next, we multiply the length (3/4) by the weight per inch (5/2):

(3/4) * (5/2) = (3 * 5) / (4 * 2) = 15/8.

The resulting fraction, 15/8, can be simplified to 1 7/8. Therefore, the weight of the metal is 1 7/8 pounds.

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