Evaluate the function.
f(x) = 2x2
Find f(-3)

Can anybody answer this?

Answer:

Answer is

1,2,3,4,5

5,10,15,20,25

just did the k12 test

Answer:

1,2,3,4,5

5,10,15,20,25

Step-by-step explanation:

The computed mean 51.5 is less than the actual mean of 51.9°.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Here,

Low temperature (°F)    40-44     45-49      50-54      55-59     60-64

Frequency                       3             7             12            6            2

Now, mean = [42(3)+47(7)+52(12)+57(6)+62(2)]/30

= (126+329+624+342+124)/30

= 1545/30

= 51.5°

Therefore, the computed mean 51.5 is less than the actual mean of 51.9°.

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Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

The answer is A.The points on the scatter plot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases, because when the pounds (lbs.) increases, the kilograms (kg.) increase.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just did the quiz and got it right

The work done in pushing the car along the level road from point A is found to be 8147 foot-pounds.

The work done in pushing a car along a level road can be calculated using the formula,

work = force × distance × cos(angle) where the angle between the force and the direction of motion is 0 degrees (since the force is parallel to the level road). The force is given as 103 pounds, and the distance is 79 feet. Therefore,

work = 103 × 79 × cos(0) = 8147 foot-pounds

Rounding to the nearest foot-pound, the work done in pushing the car from point A to point B is 8147 foot-pounds.

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Answer:

It is y/4

Pls Click on thanks if this was useful

Answer:

y/4

hope it helps my friend

first off, the "elapsed time" unit and the "rate" unit must correspond, in this case the decay rate is 4% per second, whilst the elapsed time is in minutes, so let's change that to seconds, hmmmm there are 60 seconds in 1 minute so in 0.8 minute there are 0.8*60 = 48 seconds.

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &920\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &48\\ \end{cases} \\\\\\ A=920(1-0.04)^{48}\implies A=920(0.96)^{48}\implies A\approx 129.66\)

Answer:

134.88

Step-by-step explanation:

Write function:

f(t)=920e r/t(exponent)

R: decays 4% > -0.04

substitute r in the function for -0.04

0.8 minutes = 48 seconds

plug In t=48

F(48)= 920e -0.04(48) <(exponents)

=134.878405159922

round to 134.88 and that’s the answer.

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

\((\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1\)

Cleaning this up gives you:

\(2n-5 -2\sqrt{(n+5)(n-10)}=1\)

Now move everything to the other side so we can square this equation again

\(-2\sqrt{(n+5)(n-10)}=-2n+6\)

Divide both sides by -2

\(\sqrt{(n+5)(n-10)}=n-3\)

square again

\((n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9\)

subtract n^2 from both sides, add 6n, and add 50

\(-5n-50=-6n+9\\n-50 = 9\\n=59\)

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

Answer:

free points ty

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

Answer:

False

Step-by-step explanation:

The sides are not equal.

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

71

Step-by-step explanation:

Note that a=Lila and y=Lucy (for the last letter of their names)

Set up this problem with 2 equations.

a+y=105

a+37=y

I hope it makes sense as to why you would set up the second equation like that. Anyway, go ahead and plug in y, to the first equation.

a+(a+37)=105

2a+37=105

2a=68

a=34

Now that you know how many likes Lila had, just add 37 to 34 to get Lucy's number of likes.

So Lucy has 71 likes!

Hope this helps!

Answer:

You are correct

Step-by-step explanation:

Answer: yes, you are correct :)

Step-by-step explanation:

Answer:

The quotient is \(10x+16\)

The remainder is \(\frac{34x^2+10x+22}{x^3-3x^2+x-2}\)

Step-by-step explanation:

(See my image for my work)

Once the problem is set up, we need to figure out how to make \(x^3\) become \(10x^4\). To do this, we must multiply it by \(10x\).

This becomes the first number at the top of our work.

Now, we need to create the second row. To do this, we need to multiply all of the terms on the left by \(10x\) and then multiply it by a negative.

Once that is done, we need to subtract these two rows.

After we subtract, we are left with \(16x^3-20x^2+26x-10\)

Now we can do the same thing. This time, the number that we must multiply by is 16, so that is the next term on top

Next, we multiply the terms on the left by 16 and then subtract them from the previous expression

This leaves us with \(34x^2+10x+22\).

As this has a smaller power than the left-hand side, this is our remainder, which we need to divide by the left hand side.

Our quotient is the number that we have found on the top.

This gives us the answer of

The quotient is \(10x+16\)

The remainder is \(\frac{34x^2+10x+22}{x^3-3x^2+x-2}\)

(Sorry. This process is hard to do in this form, so I had to write it by hand.)

Answer:

the quotient is 10x + 16

the remainder is 28x² + 10x + 22

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

The division of the value 8.8x10^9 and 2.2 x10^-3 in standard form is 4*10^12.

The concept that will be used here is division. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

To simplify the values 8.8x10^9/2.2 x10^-3, the we can write as

8.8/2.2 *10^9*10^3

=4*10^12

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complete question:

simplify 8.8x109/2.2 x10-3

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:  \(-\frac{\sqrt{2a}}{8a}\)

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

Explanation:

The (x-a) in the denominator causes a problem if we tried to simply directly substitute in x = a. This is because we get a division by zero error.

The trick often used for problems like this is to rationalize the numerator as shown in the steps below.

\(\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x}-\sqrt{x+a})(\sqrt{3a-x}+\sqrt{x+a})}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x})^2-(\sqrt{x+a})^2}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-(x+a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-x-a}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\)

\(\displaystyle \lim_{x\to a} \frac{2a-2x}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(-a+x)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(x-a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\)

At this point, the (x-a) in the denominator has been canceled out. We can now plug in x = a to see what happens

\(\displaystyle L = \lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\L = \frac{-2}{4(\sqrt{3a-a}+\sqrt{a+a})}\\\\\\L = \frac{-2}{4(\sqrt{2a}+\sqrt{2a})}\\\\\\L = \frac{-2}{4(2\sqrt{2a})}\\\\\\L = \frac{-2}{8\sqrt{2a}}\\\\\\L = \frac{-1}{4\sqrt{2a}}\\\\\\L = \frac{-1*\sqrt{2a}}{4\sqrt{2a}*\sqrt{2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{2a*2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{(2a)^2}}\\\\\\L = \frac{-\sqrt{2a}}{4*2a}\\\\\\L = -\frac{\sqrt{2a}}{8a}\\\\\\\)

There's not much else to say from here since we don't know the value of 'a'. So we can stop here.

Therefore,

\(\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)} = -\frac{\sqrt{2a}}{8a}\\\\\\\)

Answer: Coordinates of the point E of the middle AC (-1 ; 1 )

Step-by-step explanation:

Answer:

2760

Step-by-step explanation:

I really don't know I just did 32x120

Answer:

7

Step-by-step explanation:

Answer:

x is greater that 8

Step-by-step explanation:

this is because if the quotient of 2 and x has to be greater that 4 then 2 divided by 8 (8 being x) is 4 so anything substituting x has to be greater that 8.

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

338 crates

Step-by-step explanation:

Find how many crates they can make by multiplying 52 by 6.5:

52(6.5)

= 338

So, in 6.5 hours, they can make 338 crates

Answer:

13.6 m²

Step-by-step explanation:

The area of the triangle is equal to

\( \frac{3.2 \times 0.5}{2} = 0.8 \: {m}^{2} \)

Therefore, the area of the figure is equal to

\( (4 \times 3.2) + 0.8 = 12.8 + 0.8 = 13.6 \: {m}^{2} \)

Answer:

Step-by-step explanation:

We know that:

Work:

Divide the RHS:

Multiply the RHS:

Hence, for 15 pens, the cost is $7.2

Hoped this helped.

\(BrainiacUser1357\)

Answer:

37.5 percent wore white shoes

Step-by-step explanation:

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

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\(7 \frac{1}{3} + n = 10 \frac{3}{8} \\ \)

\( \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ \)

\( \frac{22}{3} + n = \frac{83}{8} \\ \)

Subtract sides 22 / 3

\( - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ \)

\(n = \frac{83}{8} - \frac{22}{3} \\ \)

\(n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ \)

\(n = \frac{249}{24} - \frac{176}{24} \\ \)

\(n = \frac{249 - 176}{24} \\ \)

\(n = \frac{73}{24} \\ \)

\(n = \frac{72 + 1}{24} \\ \)

\(n = 3 \frac{1}{24} \\ \)

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