Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?

x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45

the hexadecimal number 3AB8 (base 16) is equivalent to 0011 1010 1011 1000 in binary (base 2).

The above solution comprises more than 100 words.

The hexadecimal number 3AB8 can be converted to binary in the following way.

Step 1: Write the given hexadecimal number3AB8

Step 2: Convert each hexadecimal digit to its binary equivalent using the following table.

Hexadecimal Binary

0 00001

00012

00103

00114 01005 01016 01107 01118 10009 100110 101011 101112 110013 110114 111015 1111

Step 3: Combine the binary equivalent of each hexadecimal digit together.3AB8 = 0011 1010 1011 1000,

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Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:     40

Step-by-step explanation:

5/3    24/?

    divided by 8 =24 divided by 8 =3

                     5 x 8   =40  

Hope this helps :)

Answer:

40 girls

Step-by-step explanation:

Answer:

+30 feet

Step-by-step explanation:

"Above" infers a positive sign.

If the model airplane is 30 feet above the ground. The integer represents the situation will be +30 feet.

it is defined integer as a whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0.Players' results in golf, football, and hockey competitions, movie or song ratings, and other real-world scenarios where integers are utilized

​

It is given that, the model airplane is 30 feet above the ground.

Additionally, negative numbers can be used to represent elevations. At sea level, there are 0 feet of elevation. Elevations above sea level are considered positive, and those below sea level are considered negative.

​

The integer represents the situation will be +30 feet.

Thus, if the model airplane is 30 feet above the ground. The integer represents the situation will be +30 feet.

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\(\sf n=\dfrac{s}{180}+2.\)

\(\sf 180(n-2)=s\)

\(\dfrac{\sf 180(n-2)}{180} =\dfrac{s}{180} \\\\ \\n-2=\dfrac{s}{180}\)

\(\sf n-2+2=\dfrac{s}{180}+2\\ \\ \\\sf n=\dfrac{s}{180}+2\)

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The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.

There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,

By probability formula , Probability= no. of favourable outcomes/total no. of outcomes

So probability will be found that will be equal to 5/10, or 1/2

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The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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The volume of the pentagonal right pyramid with base area 30 square metres and height 5 metre is 50 m³.

Therefore the answer is 50 m³.

To find the volume of a pentagonal pyramid, we can use the formula:

V = (Bh)/3

where V is the volume, B is the area of the base and h is the height.

Area of the base is given, B = 30 m². From figure it is evident that the height of the pentagonal right pyramid is 5m. Therefore the volume of the figure is

V = 30 × 5/ 3

V = 50 m³

--The question is incomplete, answering to the question below--

"This pentagonal right pyramid has a base area of 30 m². What is the volume of the figure?"

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Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

The required wood needed to build four vertical sides is 60 inch.

According to the question, the given parameters for the box-shaped drum is as follows:

Length = 18 inch; Breadth = 12 inch; Height = 11 inch

To know the quantity of the wood need to build four vertical sides, calculation of perimeter is required.

Therefore, perimeter of the box = 12 + 18 + 12 + 18 = 60 inch

Hence, the required wood needed to build four vertical sides is 60 inch.

What is perimeter of a shaped box?

Perimeter of a shaped box is the addition of all the sides of a box. It is used for the closed shaped boxes. And it is measured in the linear units like meter, centimeter, etc.

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Answer:

3/4

Step-.by-step explanation:

sin 60° cos 60 °+ x tan 45 ° tan 30° = tan60° sin 30

x tan 45 * tan 30 = tan 60 * sin 30- sin 60 cos 60

x = (tan 60 * sin 30- sin 60 cos 60 ) / ( tan 45 * tan 30)

Substituting the values

x = (√3 * 1/2)- (√3/2 * 1/2) / (1 * √3/3)

  = √3/2 - √3/4 / √3/3

  = √3/4 / √3/3

  = √3/4 * 3/√3

   = 3/4.

Answer:

B. x = 20

Step-by-step explanation:

angles on a straight line are supplementary

therefore, 6x+9 + 2x+11 = 180

so, 8x+20=180

8x = 160

x = 20

Answer:

B

Step-by-step explanation:

If you substitute the x values with 20 then the angles will add up to 180 on both sides. These angles are supplementary which means that they are suppose to add up to 180 degrees.

Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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The function y=10x(x+1) is already in factored form, with a=10, r=0, and s=-1.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is termed the domain of the function and the set Y is called the codomain of the function. Initially, functions represented the idealized relationship between varied quantities and other variables.

To see this, we can rewrite the function as f(x)=10(x-0)(x-(-1)), which matches the form f(x)=a(x-r)(x-s). Therefore, the values of a, r, and s are:

a = 10
r = 0
s = -1

It is important to note that the values of r and s are the x-intercepts of the function, or the values of x that make the function equal to zero. In this case, the x-intercepts are 0 and -1, which correspond to the values of r and s.

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Answer: C

Step-by-step explanation:

Your answer is correct! When you multiply 2 matrices, the inner dimensions have to be equal. If they are equal, the resulting dimensions would be the outer dimentions.

(3×4)(4×5)

Since the inner (bolded) dimensions are the same, in this case 4×4, we know these matrices can be multiplied.

Since these matrices can be multiplied, the product will be 3×5, the underlined outer dimensions.

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

Mistake was subtracting x rather than adding x in the first step

The true answer is x = - 4

Step-by-step explanation:

Lets first solve the equation so we can compare to identify where the mistake is.

6 - x = 5x + 30

==> add x to both sides

6 = 6x + 30

==> subtract 30 from both sides

-24 = 6x

==> divide both sides by 6

-4 = x is the correct answer.

After comparing our work with their work, the mistake seems to be made in the first step. They subtracted x from both sides rather than adding x to both sides. This is wrong because the inverse of subtraction is addition.

Answer:

0.99

Step-by-step explanation:

         00.99

     12 11.88

          − 118

               108

               108

                   0

Answer:

c2 = 81

c = 81/2

c = 40.5

Step-by-step explanation:

Please mark me as brainlyest

Answer:

4) divide, 5) multiply, 5) divide

Step-by-step explanation:

4) you need to divide to determine the length each individual ribbon will be

5) you need to multiply the price of one shirt by three to find the price of three shirts

6) you need to divide the amount of dog food the dog will eat each day by the amount of dog food to see how many days the food will last.

It would take approximately 11.43 years to establish 30 stores.

Let's use x to represent the number of years it would take to establish 30 stores.

The store plans to build 4 new stores each year, so in x years, they will have built 4x stores.

That 1 store will go out of business every 3 1/2 years, which can be written as 7/2 years.

So in x years, 30/(4-1/2) = 40 stores will be in operation, and 40/x stores will go out of business.

So, we can write the equation:

40/x = 7/2

Solving for x, we get:

x = 80/7

Let's use x to indicate the period of time needed to open 30 shops.

The retailer intends to construct 4 additional stores year, totaling 4x stores after x years.

Every three and a half years—or seven and a half years—that one store will close its doors.

As a result, 40 stores will be open in x years and 40/x retailers will close their doors.

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Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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(a) The derivative of the difference between two functions, (f - g), is equal to the difference of their individual derivatives, (f' - g'). Therefore, (f - g)'(x) = f'(x) - g'(x). Substituting the given derivatives, we have (f - g)'(x) = (1/x^5) - (7/x).

(b) To find the value of (f - g)'(-2), we substitute x = -2 into the expression obtained in part (a). Thus, (f - g)'(-2) = (1/(-2)^5) - (7/(-2)) = 1/32 + 7/2 = 17/32.

(c) Multiplying a function g'(x) by a constant is equivalent to multiplying its derivative by the same constant. Therefore, 3/8g'(x) = (3/8) * (7/x) = 21/(8x).

(d) Substituting x = -2 into the expression obtained in part (c), we have 3/8g'(-2) = 21/(8 * (-2)) = 21/(-16) = -21/16.

The exact values are:

(a) (f - g)'(x) = (1/x^5) - (7/x)

(b) (f - g)'(-2) = 17/32

(c) 3/8g'(x) = 21/(8x)

(d) 3/8g'(-2) = -21/16.

To calculate the derivative of the difference between functions f and g, we apply the property that the derivative of a difference is equal to the difference of the derivatives. By substituting the given derivatives for f'(x) and g'(x), we obtain the expression (f - g)'(x) = (1/x^5) - (7/x).

For part (b), we evaluate the expression (f - g)'(-2) by substituting x = -2 into the derived expression. This yields (f - g)'(-2) = 1/32 + 7/2 = 17/32.

To compute 3/8 times the derivative of g(x), we apply the constant multiple rule of differentiation. Thus, 3/8g'(x) simplifies to (3/8) * (7/x) = 21/(8x).

Finally, in part (d), we substitute x = -2 into the expression obtained in part (c) to find 3/8g'(-2) = 21/(8 * (-2)) = -21/16.

Therefore, the exact values are as summarized above.

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To find the greatest common divisor (gcd) of 15, 21, and 65, we can follow these steps:

Find the gcd of 15 and 21:

Prime factorization of 15: 15 = 3 * 5

Prime factorization of 21: 21 = 3 * 7

The common prime factor between 15 and 21 is 3. Therefore, the gcd of 15 and 21 is 3.

Write the gcd of 15 and 21 (which is 3) as a linear combination of 15 and 21:

3 = 15 * (-2) + 21 * 1

Now we have expressed the gcd of 15 and 21 (which is 3) as a linear combination of 15 and 21.

Find the gcd of the previously obtained gcd (which is 3) and 65:

Prime factorization of 65: 65 = 5 * 13

The common prime factor between 3 and 65 is 1 (since 3 is prime and does not have any prime factors other than itself). Therefore, the gcd of 3 and 65 is 1.

Write the gcd of 3 and 65 (which is 1) as a linear combination of 3 and 65:

1 = 3 * 22 + 65 * (-1)

Now we have expressed the gcd of 3 and 65 (which is 1) as a linear combination of 3 and 65.

Substitute the linear combinations obtained from step 2 and step 4 into each other:

1 = (15 * (-2) + 21 * 1) * 22 + 65 * (-1)

Simplifying this equation, we get:

1 = 15 * (-44) + 21 * 22 + 65 * (-1)

Therefore, the greatest common divisor (gcd) of 15, 21, and 65 is 1, and it can be expressed as:

1 = 15 * (-44) + 21 * 22 + 65 * (-1)

So, r = -44, s = 22, and t = -1.

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Answer:

The Last box. (y=1/2x-4)

Step-by-step explanation:

The formula is y=mx+b
b is the interception point on the y axis.
So the -4 is where the line crosses on the y axis.
mx is how many spaces it goes up or down.
If you look the box goes up or down twice then left or right once.

So that's your answer, hope this helps.

Answer:

0.24 to 2dp

Step-by-step explanation:

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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