Brooks gets a raise at his job as a waiter. what is the most likely thing he will do
with his increase in income?
increase his spending now he can afford more skateboard trucks and wheels
increase his use of credit, now he can go into more debt because he knows he can
pay more on his monthly credit card bill
cash out his stocks that he purchased; he won't need that investment now that he
is making more money
put less away in savings because now he won't have to depend on that to pay his
monthly bills

the correct answer is (c) The ratio of circle A is equal to the ratio of circle B, as the ratio of the circumference to the diameter is the same for both circles.

In a circle, the ratio of the circumference to the diameter is constant and is denoted by the mathematical constant π (pi), which is approximately equal to 3.14159. This means that for any circle, regardless of its size or radius, the ratio of the circumference to the diameter will always be the same.

Since circle A has twice the radius of circle B, it means that the circumference of circle A will be twice the circumference of circle B. Similarly, the diameter of circle A will also be twice the diameter of circle B. Therefore, when we calculate the ratio of the circumference to the diameter for both circles, we will obtain the same value, which is π.

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It is given that a sample of radioactive material disintegrates from 6 to 2 grams in 50 days ,just 1 gram will remain after approximately 77.95 days.

We are to determine after how many days will just 1 gram remain.Let N be the number of remaining grams of the material after t days.The rate of decay of radioactive material is proportional to the mass of the radioactive material. The differential equation is given as:dN/dt = -kN,where k is the decay constant.

The solution to the differential equation is given as:\(N = N0 e^(-kt)\)where N0 is the initial number of grams of the material and t is time in days.

If 6 grams of the material reduces to 2 grams, then N0 = 6 and N = 2.

Thus,\(2 = 6 e^(-k × 50) => e^(-50k) = 1/3\)

On taking natural logarithm of both sides, we get:-

50k = ln(1/3) => k = (ln 3)/50

Thus, the decay equation for the material is:

\(N = 6 e^[-(ln 3/50) t]\)

At t = t1, 1 gram of the material remains.

Thus, N = 1.

Substituting this in the decay equation, we get:\(1 = 6 e^[-(ln 3/50) t1] => e^[-(ln 3/50) t1] = 1/6\)

Taking natural logarithm of both sides, we get:-(ln 3/50) t1 = ln 6 - ln 1 => t1 = (50/ln 3) [ln 6 - ln 1] => t1 ≈ 77.95 days

Therefore, just 1 gram will remain after approximately 77.95 days.

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Answer:

735N

Step-by-step explanation:

According to Newton's second law;

Force = mass * acceleration due to gravity

'

Given

Mass = 75kg

Acceleration = 9.8m/s^2

Substitute into the formula;

F = 75 * 9.8

F = 735N

Hence the force required is 735N

Answer:Total Commission

$12

Commission for Each Agent

$6.00

Total Amount Seller Receives

$188

Step-by-step explanation:

The questions will be solved in according to the concept of parallel line segment theorem.

Given are figures we need to solve for the missing values,

1) 25/40 = 30/x

x = 48

2) 32/60 = 2x+6 / 52.5

840 = 60x+180

60x = 660

x = 11

3) 20/7x-11 = 15/4x-2

80x-40 = 105x-165

25x = 125

x = 5

4) 36.4/28 = x/21

764.4 = 28x

x = 27.3

5) 21/x-3 = 27/x-1

7/x-3 = 9/x-1

7x-7 = 9x-27

2x = 20

x = 10

6) 35/x-3 = x-7/4

140 = x²-10x+21

x²-10x+119 = 0

Solving for x,

x = -7 or x = 17

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Answer:

3.0233088 x 10 raise to power 7

Answer:

(9a³ − 10)(9a³ + 10)

Step-by-step explanation:

Difference of squares

(9a³ − 10)(9a³ + 10)

Answer:

What is the factorization of 81a6 - 100?

Step-by-step explanation:

Oct 2021 Edge

Answer:

4t

Step-by-step explanation:

Let's form an equation here just to put it visually.

So it would be t+3*t

We can also write this as t+3t (If they're right next to eachother, it still indicates multiplication)

Now we can do t+3t which is 4t

If this doesn't make sense, then you can look at it this way

You do 1t+3t and since they're like terms, you can combine them and do 4t.

Answer:

452+(783-546)

Step-by-step explanation:

Add 452 ; 452+

the difference of 783 and 546 ; 783-546

You add in the parentheses so that you're adding 452 to the difference of the two other numbers instead of to 783.

Answer:

16+2.36=18.36

Step-by-step explanation:

( what expressions did they give u to pick?)

Answer: Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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The Equation of circle is (x-2)² +(y+ 8)² = 7²

The standard form of a circle with center (h, k) and radius r is given by the equation:

(x-h)²  + (y-k)² = r²

In this equation, (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

In this case, the center of the circle is (2, -8) and the radius is 7.

Plugging these values into the equation, we have:

(x- 2)² + (y- (-8))² = 7²

Simplifying further:

(x-2)² +(y+ 8)² = 7²

So, the equation in standard form for the circle with center (2, -8) and radius 7 is:

(x-2)² +(y+ 8)² = 7²

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Answer:

A. 25°

Step-by-step explanation:

In triangle ABC:

<A + <B + <C = 180°

=> 45° + (2x - 15)° + 4x° = 180°

=> 6x° + 30° = 180°

=> 6x° = 150°

=> x° = 25°

Choose A.25°

Answer:

A. 25 degrees

x = 20

2(20) - 15 = 25 degrees

If you travel 2640 feet in 30 seconds in a 65 mi/h zone then the average speed is (b) less than speed limit .

The Distance travelled in 30 seconds is = 2640 feet ,

Average Speed can be calculated by formula; Speed = Distance / Time ,

So , the speed of the person in feet per second will be = 2640/30 ft/sec .

we know the conversion rate that 1 mile = 5280 feet and 1 hr = 3600 sec ,

So , On converting the speed to mi/hr ,

it can be written as = (2640 × 3600)/(5280 × 30)

= 60 mi/hr .

The Speed Limit is given as 65 mi/hr .

On comparing we get the average speed of the person is less than the speed limit .

Therefore , The Average Speed is Less than the Limit .

The given question is incomplete , the complete question is

You travel 2640 feet in thirty seconds while in a 65 mi/h zone. (There are 5280 ft in one mi). Your average speed is:

(a) exactly the speed limit.

(b) less than the speed limit.

(c) larger than the speed limit.

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Your average speed is 98.667 miles per hour, which is calculated by taking the distance traveled (2640 feet) and dividing it by the time taken (thirty seconds) multiplied by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile.

Step 1: Convert 2640 feet to miles.

1 mile = 5280 feet

2640 feet / 5280 feet = 0.5 miles

Step 2: Calculate speed.

Speed = Distance / Time

Speed = 0.5 miles / (30 seconds/60 seconds)

Speed = 0.5 miles / 0.5 minutes

Speed = 1 mile / 0.5 minutes

Speed = 2 miles/minute

Speed = 2 miles/minute * 60 minutes/hour

Speed = 120 miles/hour

Speed = 120 miles/hour * 65 mi/h

Speed = 78 miles/hour

Speed = 98.667 miles/hour

The average speed is calculated by dividing the distance traveled (2640 feet) by the time taken (thirty seconds) and then multiplying it by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile. First, the distance (2640 feet) was converted to miles (0.5 miles). Then, the speed (0.5 miles/30 seconds) was calculated, which was then multiplied by the speed limit (65 mi/h) to get the final result of 98.667 miles/hour.

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Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

Answer:

Step-by-step explanation:

A square meters-

Millimeters are super small

And the other ones are to huge

Dats easy

Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

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Random sampling is most important to quantitative research methods.

Quantitative research relies on collecting numerical data and analyzing it statistically to draw conclusions about a population. Random sampling is a crucial aspect of quantitative research as it ensures that the sample selected is representative of the population being studied. By randomly selecting participants or data points from the population, researchers can minimize bias and increase the generalizability of their findings.

This allows them to make accurate inferences about the larger population based on the characteristics observed in the sample. Random sampling helps to reduce the potential for selection bias and ensures that each member of the population has an equal chance of being included in the sample, which enhances the validity and reliability of the research results.

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Answer:

(B)\(2^1\)

Step-by-step explanation:

We are to simplify the given expression: \(\dfrac{2^2 \cdot 2^3}{2^4}\)

Step 1: Apply the addition law of indices to simplify the numerator.

\(\text{Addition Law: }a^x \cdot a^y=a^{x+y}\)

Therefore:

\(\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}\)

Step 2: Apply the Subtraction law of indices to simplify the expression

\(\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1\)

The correct option is B.

Answer:

-23 divided by -7

Step-by-step explanation:

Answer:

-7 - x < -2/3

Step-by-step explanation:

The difference between −7 and a number x

-7 - x

is no more than −2/3.

-7 - x < -2/3

Answer:

(x+6)(x+6)

\(x^2+12x+36\)

(x+8)(x-5)

\(x^{2}+3x-40\\\)

(x-5)(x-2)

\(x^{2}-7x+10\)

Step-by-step explanation:

Brainliest pls hope it helped^^

Answer:

a) x^(2)+12x+36

b) x^(2)+3x-40

c) x^(2)-7x+10

Step-by-step explanation:

Answer:

DE ≈ 40

Step-by-step explanation:

Using the Sine rule in Δ DEF

∠ D = 180° - (58 + 87)° ← sum of angles in a triangle

∠ D = 180° - 145° = 35° , then

\(\frac{DE}{sin87}\) = \(\frac{EF}{sin35}\) = \(\frac{23}{sin35}\) ( cross- multiply )

DE × sin35° = 23 × sin87° ( divide both sides by sin35° )

DE = \(\frac{23sin87}{sin35}\) ≈ 40 units ( to the nearest whole number )

Answer:

positive 3

Step-by-step explanation:

Therefore, it would take approximately 10.246 hours for the satellite to fly 82000 miles.

We can use the concept of unit rate to solve this problem.

Given that the satellite flies 73680 miles in 9.21 hours, we can calculate the unit rate of the satellite's speed:

Unit Rate = Distance / Time

= 73680 miles / 9.21 hours

≈ 8004.55 miles/hour

Now, to find out how long it would take for the satellite to fly 82000 miles, we can use the unit rate:

Time = Distance / Unit Rate

= 82000 miles / 8004.55 miles/hour

Calculating this value:

Time ≈ 10.246 hours

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