Laws of indices

a) b^4 x b^5

b) x^6 devided by x

c) 5x^2 x 3x^4

d) 21c^8 devided by 7c^7

The population density in the neighborhood is 620 residents per square mile .Therefore, the population density in the neighborhood is 620 people per square mile.

To find the population density of the neighborhood, we divide the total number of residents by the area. So:

Population density = Total number of residents / Area

Plugging in the given values, we get:

Population density = 1550 / 2.5

Simplifying this division, we get:

Population density = 620 people per square mile

Therefore, the population density in the neighborhood is 620 people per square mile.

The population density of a neighborhood can be calculated by dividing the total number of residents by the area in square miles. In this case, there are 1550 residents and the area is 2.5 square miles.

To calculate the population density, use the following formula:

Population Density = Total Residents / Area in Square Miles

Population Density = 1550 residents / 2.5 square miles = 620 residents per square mile

So, the population density in the neighborhood is 620 residents per square mile.

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Using the binomial probability relation, the probability of the following events are :

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

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Answer: 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/2 = 7/2

7 4/5= 39/5

5 3/4= 23/4

4 1/3= 13/3

4 2/3= 14/3

5 1/5 = 26/5

8 2/3 = 26/3

2 3/5 = 13/5

hope this helps

Answer:

x = 1.5

Step-by-step explanation:

\(\frac{x}{3} =\frac{x+2}{7} \\\\7x=3(x+2)\\7x=3x+6\\4x=6\\x=1.5\)

Step-by-step explanation:

We have x² + 9x + 18 = (x + 6)(x + 3).

Answer:

Step-by-step explanation:

x^2 + 9x + 18

(x + 6)(x + 3)

Solution

Step 1

To convert seconds to hours, divide the seconds by 3600.

Step 2

1 million seconds = 1000000 seconds

How to draw a circle: place the needle of your compass at the centre coordinate. Then extend the pencil tip to the given length of the radius

If you follow these steps, you will get the following graphs:

Hope it helps!

We know that:

Let's plot the circles one by one.

Circle A:

Finding x and y:

Substitute the radius and the coordinates in the equation:

Plot the equation on the graph to obtain circle A.

~Refer to attachment #1~

Circle B:

Finding x and y:

Substitute the radius and the coordinates in the equation:

Plot the equation on the graph to obtain circle B.

~Refer to attachment #2~

Answer:

12

Step-by-step explanation:

The y-intercept is 12 because it is at the end without a variable. If you follow the equation y=mx+b Then it would be that 12 is b. The slope is one with the variable behind it and the y-intercept is the one without no variable.

Answer:

x

x

are the same

Step-by-step explanation:

when you plug in g(x) into f(x)

f(x)=16((1/4)(x)^.5)==x

then vice versa

g(x)=(1/4)((16x^2)^.5)==x

They are the same and, therefore, inverses of each other.

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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Answer:

Month 5

Step-by-step explanation:

Answer:

it  should be 1-

Step-by-step explanation:  -1 is closer to the zero and that makes it have a greater value than -4, -4 is farther that makes it less. I hope this helps.

2500 cubic centimetres

Answer:

A. (-1, 3)

Step-by-step explanation:

To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).

A. (-1, 3) is the correct answer because it falls in the correct region.

B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.

C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.

Step-by-step explanation:

then we do the multiplications and compare :

(x - p)² = q

x² - 2px + p² = q

x² - 2px + p² - q = 0

our target is

x² + 4x - 20 = -8

x² + 4x - 12 = 0

now we compare the variable expression with the target.

x² = x² check

4x = -2px

4 = -2p

p = -2

-12 = p² - q = 4 - q

-16 = -q

q = 16

so, we have

(x - -2)² = 16

(x + 2)² = 16

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

To dilate a point S by a scale factor of 1/2, we need to multiply the coordinates of the point by the scale factor.So the dilated point S' will have coordinates (2, 3).

A scale factor is a number that scales or multiplies another quantity by a certain amount, either making it larger or smaller. In geometry, scale factor is used to describe the ratio of the corresponding side lengths of two similar figures.

If the coordinates of point S are (x,y), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * x, 1/2 * y)

In other words, the x-coordinate of the dilated point is half of the x-coordinate of the original point, and the y-coordinate of the dilated point is half of the y-coordinate of the original point.

For example, if point S has coordinates (4, 6), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * 4, 1/2 * 6) = (2, 3)

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The statement that correctly compares the two functions include the following: D. They have different y-intercepts but the same end behavior.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph and the functions shown in the image attached above, we can reasonably infer and logically deduce the following y-intercepts:

y-intercept of f(x) = (0, 4).

y-intercept of g(x) = (0, 8).

Additionally, the end behavior of both functions f(x) and g(x) is that as x tends towards infinity, f(x) and g(x) tends towards zero:

x → ∞, f(x) → 0.

x → ∞, g(x) → 0.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem \(a^2+b^2 = c^2\)

a = 9

b = 8

hypotenuse = c = \(\sqrt{8^2+9^2}\)

c = 12.04 cm

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

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The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0

We can begin by isolating the absolute value on one side of the inequality:

4/3|1/4x+3|<4

|1/4x+3|<3/2

We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:

1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11

1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0

So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0

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Answer:

a. 4.00

b. 3.00

I hope this helps

Answer: C. 78%

Step-by-step explanation:

simply divide 7 by 9 and move the decimal two places to the right and round!

Answer:

F, M, J

Step-by-step explanation:

Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Answer:37.68

Brainliest pls

Answer:

The circumference of the circle is 75.36cm

Step-by-step explanation:

There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi