If a is an integer, when is a/b always equal to an integer?

A. b=0
B. b<1
C. b>1
D. b= 1 or -1

Answer:  I believe it is -38

Step-by-step explanation:

Using proportions, it is found that the band marches 0.75 miles in half an hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

According to the information given in the problem, the following rule of three can be built:

2.5 miles - 1.67 hours

x miles - 0.5 hours.

Applying cross multiplication, we have that:

1.67x = 2.5(0.5)

x = 2.5(0.5)/1.67

x = 0.75 miles

The band marches 0.75 miles in half an hour.

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Answer:The answer is 0.75.

Step-by-step explanation:

To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

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Answer:

\(y+1=32(x-6)\)

Step-by-step explanation:

Solution is attached

The patient's maximum temperature during the illness is 101.98° F and the temperature is after 12.3 hours.

Given that:

A patient has an illness that typically lasts about 24 hours.

The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:

T(t) = -0.025t² + 0.615t + 98.2

The graph is given below.

The maximum value of the function is at the vertex.

The patient's maximum temperature will be at the t in the vertex.

t = -b/2a = -0.615/(2 × -0.025)

              = 12.3

The maximum temperature is:

T(12.3) = -0.025(12.3)² + 0.615(12.3) + 98.2

           = 101.98

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The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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Answer:

\( \sqrt{5} \\ 2.2 \\ \sqrt{4} \\ \sqrt{2} \\ \sqrt{1} \)

We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

Therefore, the answer is 94 degrees in the quadrant II

Answer:

6b - 1

Step-by-step explanation:

5b + b = 6b

-9 + 8 = -1

It's called the distributive property, take it as two separate problems : )

Answer:

A: Nonlinear

B: Constant=0, Decreasing=M, Increasing=K

C: 2-3-3

Step-by-step explanation:

1. Linear graph - one with a line that has the same slope all the way through

The line doesn't have the same slope the whole way through because at one part it flattens and also decreases

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2. Remember: Increase (up), decrease (down), constant (constant)

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3. In my words, I don't know if they're asking the pattern or technical, but you can add on to the 2 mins walk, 3 mins stop, then 2 mins walk again.

Hope it helps

Answer:

B

Step-by-step explanation:

21/28 is 0.75 and 12/16 is 0.75 so they are proportional

Answer:

I think its 32

Answer:

B

Step-by-step explanation:

B is the right answer

Answer: B 5+5=10+4+4+4=12+3 10+12+3 25 lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perimeter is addition of all the sides

so add them

5+4+4+3+4 =20

The shaded region will be above the boundary line.

Let's rewrite the inequality as an equation:

2x - 3y = 18

To graph this equation, we can rearrange it to solve for y:

-3y = -2x + 18

y = (2/3)x - 6

Now we can plot the boundary line with the equation y = (2/3)x - 6. This line will separate the coordinate plane into two regions.

However, since the inequality is strictly greater than (">"), we need to determine which side of the line represents the solution.

For example, let's choose the point (0,0) as a test point:

2(0) - 3(0) > 18

0 > 18

Since 0 is not greater than 18, the test point (0,0) is not a solution.

This means the region containing (0,0) is not part of the solution.

To determine the region that satisfies the inequality, we shade the opposite side of the boundary line. In this case, since the inequality is greater than (">"), the shaded region will be above the boundary line.

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Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

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Answer:   3pi/2

This is equivalent to 1.5pi

The units for the area are in square centimeters.

===============================================

Work Shown:

The larger semicircle has radius 2 cm.

So r = 2 is plugged into the area of a semicircle formula below

A = (pi*r^2)/2

A = (pi*2^2)/2

A = (4pi)/2

A = 2pi

The area of the larger semicircle is 2pi square cm.

Repeat those steps but now use r = 1. This will compute the area of the unshaded smaller semicircle

A = (pi*r^2)/2

A = (pi*1^2)/2

A = pi/2

The area of the smaller unshaded semicircle is pi/2 square cm.

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

From here, we subtract the two results to get the shaded area:

(larger semicircle area) - (smaller semicircle area) = (2pi) - (pi/2) = 3pi/2

This is equivalent to 1.5pi since 3/2 = 1.5

Answer:

Eighth half-hour

Step-by-step explanation:

Given pattern:

Calculate the differences between the number of bows used:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\)

Therefore, the pattern for the bows used is:

If the pattern continues:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20\)

Create a table with the given and found data, and add a cumulative total column:

\(\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}\)

If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.

Answer:

330

Step-by-step explanation:

100*3.3=330

Step-by-step explanation:

Given:

Wavelength of wave : 3.3m

Frequency of wave : 100Hz.

speed/velocity : ?

As we know

velocity = wavelength × Frequency

= 3.3 × 100

=330ms−1

So the speed of the wave is 330 ms·¹

Answer:

C. 50ft

Step-by-step explanation:

Perimeter is the outside and in perimeter you add

The length is 15ft

The width is 10ft

There are 4 sides so you want to add the length and width 2 times

L = 15 + 15 = 30

W = 10 + 10 = 20

Then add it all together

30 + 20 = 50

Hope this helps dude

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

Step-by-step explanation:

area of the aquare = s^2 = 25cm^2

∴ side = √25

side = 5cm

perimeter = 4 × side

= 4 × 5

∴ perimeter = 20 m

hope this helps

plz mark it as brainliest!!!!!!

Answer:

20cm

Step-by-step explanation:

area = Length x Width with a square we know the length and width are equal so we just work out the square root of 25 which is 5cm. A square has 4 sides so 5x4 = 20cm

Answer:the coefficient of the 2nd term is : 24

Step-by-step explanation:(6p + 2)^2 =

(6p + 2)(6p + 2) =

36p^2 + 12p + 12p + 4 =

36p^2 + 24p + 4

There can be 144 unique sandwiches created.

To determine the Possibility of unique sandwiches that can be created, we multiply the number of options for each category: 3 types of bread, 6 meats, and 8 toppings.

To calculate the total number of unique sandwich combinations, we multiply these numbers together:

\(3 (bread\ options) * 6 (meat\ options) *\ 8 (topping\ options) = 144.\)

Therefore, it is possible to create 144 distinct sandwiches by selecting one item from each category, considering the given options.

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The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

The  valid license plates are possible = 676,000 possibilities

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10  × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10  × 10 × 10 =  676,000 possibilities.

The  valid license plates are possible = 676,000 possibilities.

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Answer:

x=1/4

Step-by-step explanation:

x12=3 (I would treat it as 12x=3 since the 12 is still attached with multiplication)

x=3/12 (simplify your fraction)

x=1/4