Difference of squares. Pls help algebra factoring polynomials 10 points

The mean and percentage is deduced from a sample in either case, so it is: the statistic for the sample.

For the given question,

A researcher could be looking at which percentage of golfers only use Titleist balls, or what proportion of high school students eat at Taco Bell between meals.

As a result, either in case, the mean as well as percentage is deduced from a sample, as follows: statistics from a sample.

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Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

Answer:

200

Step-by-step explanation:

So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.

Therefore, If a car has a constant acceleration of 5 m/s2, it is increasing its velocity by 5 meters per second every second, which can be useful for calculating time and distance.

The question is asking about the acceleration of a car, which is given as 5 m/s2. This means that the car is increasing its velocity by 5 meters per second every second.
If a car has a constant acceleration of 5 m/s2, this means that it is increasing its velocity by 5 meters per second every second. This acceleration can be felt as a push in the back of the seat when the car starts moving. As the car continues to accelerate, the push becomes stronger. The rate of acceleration is constant, which means that the car is moving faster and faster at a steady rate. This can be useful information for calculating how long it will take for the car to reach a certain speed or how far it will travel in a given amount of time.

Therefore, If a car has a constant acceleration of 5 m/s2, it is increasing its velocity by 5 meters per second every second, which can be useful for calculating time and distance.

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Answer:

We can write the position equation as:

P(t) = speed*time + initial position.

If we define Jabal home as the 0 of the position, then Jabal's initial position is 0m

And we know that his speed is 2.5 m/s, then his position equation is:

Pj(t) = (2.5 m/s)*t

We know that Michael speed is 6m/s, and we also know that his house is 15m further away from school than Jabal's one, then Michael's initial position is -15m

Michael's position equation is:

Pm(t) = (6m/s)*t -15 m

The boys will be walking together when they meet, and this will happen when their positions are the same, this means that:

Pj(t) = Pm(t)

That is the equation we need to solve for t.

(2.5 m/s)*t = (6m/s)*t -15 m

15m = (6m/s)*t  -  (2.5 m/s)*t  = (3.5 m/s)*t

15m/(3.5 m/s) = t = 4.28 seconds.

The boys will walk together after 4.28 seconds.

Answer:

100,000

Step-by-step explanation:

Just multiply

The number of buttons that she can wear proudly will be 5.

The ratio is the division of the two numbers. In reality, ratios and proportions are only two sides of the same coin. A proportion is what results when two ratios are equal. Typically, fractions are used to define ratios and proportions. A ratio is created when we use the symbol ":" to denote a fraction, and a percentage is created when we use "::" to represent two ratios.

For example,

a/b, where a and b represent the numerator and denominator, respectively.

The relationship between two variables is called a proportion.

As per the given question,

Cost of one button = $0.28

The cost of buttons that she can wear = $1.40

A number of buttons = $1.40/$0.28 = 5

The number of buttons that she can wear proudly will be 5.

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Answer:

\( Area = 101.4 cm^2 \) (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = \( \frac{48}{\pi} \) = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

\( Area = \frac{1}{2}ab \times Sin(C) \)

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

\( Area = \frac{1}{2} \times 15.3 \times 15.3 \times Sin(60) \)

\( Area = \frac{1 \times 15.3 \times 15.3 \times Sin(60)}{2} \)

\( Area = 101.4 cm^2 \) (3 S.F)

Answer: 80

Step-by-step explanation: 8/10

Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

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Answer: 3.85714285714=x

Step-by-step explanation:

3x+12=10x-15

-3x      -3x

12=7x-15

+15    +15

27=7x

27/7=7x/7

3.85714285714=x

:)

Answer:

A

Step-by-step explanation:

We can try each option to see which one is correct.

System of Equations:

y > -2

x + y <= 4

Option A:

3 > -2 (true)

1 + 3 <= 4

4 <= 4 (true)

We do not need to test any more options since we already found the correct one.

Best of Luck!

Answer:

\(\boxed{\sf{t=24}}\)

Step-by-step explanation:

Find the value of t, to isolate on one side of the equation.

t-18=6

First, add by 18 from both sides.

\(\rightarrow \sf{t-18+18=6+18}\)

Solve.

Add the numbers from left to right.

6+18=24

\(\Rightarrow \boxed{\sf{t=24}}\)

Therefore, the final answer is t=24.

The answer should have a positive sign.

I hope this helps, let me know if you have any questions.

\(\huge\text{Hey there!}\)

\(\mathsf{t - 18 = 6}\)

\(\large\text{ADD \boxed{\textsf{18}} to BOTH SIDES:}\)

\(\mathsf{t - 18 + 18 = 6 + 18}\)

\(\large\text{CANCEL out: \boxed{\mathsf{-18 + 18}} because it gives you 0.}\)

\(\large\text{KEEP: \boxed{\mathsf{6 + 18}} because it gives you the answer of the t-value.}\)

\(\large\text{New equation: }\mathsf{t = 6 + 18}\)

\(\mathsf{t = 6 + 18}\)

\(\mathsf{t = 24}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{t = 24}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer:

$1.50 bro

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the chart, it shows the total amount that the retailer (the chip company) spends to make each bag of chips. We're looking at the $3 chip bag, so looking we can see that it costs the company $1.00 for each bag. If it costs $1 to make and it sells for $3, the profit is $2. This chart makes it easy because it calculates the total charts for you.

Answer:

C and D

Step-by-step explanation:

The intervals that show f(x) increasing are [–2, –1], and (0.8, 2) as per the given graph.

In mathematics, an interval refers to a set of real numbers that includes all the numbers between two given values.

Intervals can be expressed using square brackets [ ] or parentheses ( ), where square brackets denote that the endpoints are included in the interval, and parentheses denote that the endpoints are excluded.

To determine the intervals in which f(x) is increasing, we need to find the portions of the graph where the function is sloping upwards (i.e. where the graph is moving from left to right in an upward direction).

Looking at the graph, we can see that f(x) is increasing on the intervals [–2, –1] and (0.8, 2).

Therefore, the correct options are: [–2, –1], and (0.8, 2).

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The x-intercepts are the points on the graph where the function crosses the x-axis. These points have a y-coordinate of zero, and an x-coordinate of √6 or -√6. Therefore, the x-intercepts of the graph of f(x) are (-√6, 0) and (√6, 0).

To find the x-intercepts, we set f(x) = 0 and solve for x:

30 - 5x² = 0

5x² = 30

x² = 6

x = ±√6

To find the x-intercepts, we need to set the value of f(x) to zero and solve for x. In other words, we need to find the values of x that make the function equal to zero.

The given function is f(x) = 30 - 5x². Setting f(x) to zero, we get:

30 - 5x² = 0

We can simplify this equation by dividing both sides by -5:

-6 + x² = 0

Adding 6 to both sides, we get:

x² = 6

Taking the square root of both sides, we get:

x = ±√6

Therefore, the x-intercepts are the points on the graph where the function crosses the x-axis. These points have a y-coordinate of zero, and an x-coordinate of √6 or -√6. Therefore, the x-intercepts of the graph of f(x) are (-√6, 0) and (√6, 0).

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Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

L = A/W

L = 10k^2 + 10k + 1 −  3      

                        5k−4

Answer:

Step-by-step explanation:

The attached graph shows the depth of the elevators with respect to the time the miners' elevator started.

After 14 more seconds, the positions are ...

  equipment: -6(42) = -252 feet relative to the surface

  miners: -16(14) = -224 feet relative to the surface

The equipment elevator is deeper.

Answer:

12,20

Step-by-step explanation:

That's the answer

Answer:

A.5/7

Step-by-step explanation:

✨Hope it helps✨

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Answer:

A

Step-by-step explanation:

need 20 words bla bla bla bla

Answer: 92.1998 and 7.1638

Step-by-step explanation:

When adding decimals, line up the decimal point.

You may want to put the number with the most digits on the top.

  04.8998

+ 87.3000

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

Now we add normally.

However, in multiplication, the placement of the decimal point is irrelevant.

   7.31

x   .98

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

Now we multiply normally.

Answer: 73.7

5 rounds up so you add 1 to the 6

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

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In the first case, the domain is {-2, 0, 2, 4}. And, the range is {-3,-1,0}.

In the second case, the domain is {-3, -1, 0, 3}. And, the range is {-1, 0, 1, 2, 3}.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

Element x contains negative 2, 0, 2, and 4.

Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0.

we know,

The domain refers to all the x-values in the relation.

The range refers to all the y-values in the relation.

so, we get,

In the first case, the domain is {-2, 0, 2, 4}. And, the range is {-3,-1,0}.

In the second case, the domain is {-3, -1, 0, 3}. And, the range is {-1, 0, 1, 2, 3}.

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answer:

it should be b, {−4, −2, 0, 3, 5}

Answer:

Depth is 4 feet.

Step-by-step explanation:

Given:

Length of an aquarium is 2.3 feet

Width of an aquarium is 1.2 feet

Volume of an an aquarium is 11.04 cubic feet

To find: depth of an aquarium is 2.3 feet

Solution:

If \(l,b,h\) denote length, width and height of a cuboid then volume (V) of a cuboid is equal to \(lbh\)

\(l=2.3\) feet

\(b=1.2\) feet

\(V=11.04\) cubic feet

\(11.04=2.3(1.2)h\\h=\frac{11.04}{2.3(1.2)}\\h=\frac{11.04}{2.76}\)

\(h=4\) feet

Therefore,

depth is 4 feet.