What is the value of f(-2)?

Answer:

15

Step-by-step explanation:

Take the square root of 2010: [tex]\sqrt{2010} =44.833...[/tex]

Round this value up: [tex]45[/tex]

Square the number: [tex]45^{2} =2025[/tex]

2025 is the closest number to 2010 that is a perfect square.

Difference: [tex]2025-2010=15[/tex]

Answer:

The inequality is;

2x + 3y ≤ 30

Step-by-step explanation:

Here, we want to select which of the inequalities represent all possible combinations of x roses and y carnations.

From the question, we are told that roses cost $3 and carnations cost $2

So, by buying x roses, total amount spent = $3x

By buying y carnations, total amount spent = $2y

Now, we are told that she does not want to spend more than $30, this means she can spend less than $30 or exactly $30 but cannot spend more than $30

So, by mathematical convention, we say the sum of the roses and carnations bought is less than or equal to $30

Thus we have;

2x + 3y ≤ 30

Answer:

2x + 3y ≤ 30

Step-by-step explanation:

Uhh im doing the test rn on it so yea

Answer:

the last option

Step-by-step explanation:

every other one adds up to be 10/12 but the last one is 15/10

Answer:

D) 5/12 + 4/12 + 3/12 + 2/12 + 1/12

Step-by-step explanation:

5/12 + 4/12 + 3/12 + 2/12 + 1/12 = 15/12

Answer:

1212

Step-by-step explanation:

Answer: 12 hours

Step-by-step explanation: 6 h = 360 min,9 h = 540 min, 12 h = 720 min

640-360=280 , 640-540=100 , 640-720=-80

Answer:

The answer is below

Step-by-step explanation:

Let the budget be represented by B. Since the grouo has only $8,000, hence, the inequality can be represented as:

B ≤ $8000

Also, $3400 was spent on transportation. If other cost is represented by C, therefore, other cost is given as:

Other cost ≤ Budget - cost of transportation

C ≤ $8000 - $3400

C ≤ 4600

From above, to stay within the budget, all other costs must be below $4600

Answer:

x=y+6

Step-by-step explanation:

The expression will be written as x + y > 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 6 is more than the sum of y and x. The expression will be formed as below:-

x + y > 6

Therefore, the expression will be written as x + y > 6.

The complete question is given below:-

6 more than the sum of y and x then write the expression which represents the inequality.

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Answer:

B. Exponential Function; base = 2; initial value = - 3.8

Step-by-step explanation:

hey there,

< The formula for exponential functions is [tex]A_{t} = A_{o} e^{kt}[/tex]. The function given DOES follow this formula (At = y, -3.8 = Ao, e = 2, k = 1, t = x) so that means it is an exponential function. C cannot be the answer.

You already know that e is the base in called the "natural base". e is equal to a number around 2. In this function, they just put it as "2". So we know that the base is equal to 2.

Ao means initial value and At means value after the experiment is done. Here, we can see Ao = -3.8 so that is the initial value.

base = 2; initial value = - 3.8 >

Hope this helped! Feel free to ask anything else.

Answer:

the answer to your question is -8.5

Answer:

-3.4 × 2.5 = -8.5

Step-by-step explanation:

Since these are short decimals, you can probably convert these into fractions if you'd like.

So -3.4 = -17/5

And 2.5 = 5/2.

So just multiply this like you would multiply two fractions, just multiply across the numerator, and denominator, and then just simplify; numerator × numerator / denominator × denominator.

So

The trick when multiplying by 5 is to divide the number in half, and multiply by 10.

-17/5 × 5/2 = -17 × 5 / 5 × 2 = -17/2 × 10 / 10 = -8.5 × 10/10 = -8.5 × 1 = -8.5

(The tens just cancel and make 1 so you are just left with this answer)

You can also try splitting the decimals up into factors:

-3.4 × 2.5 = (-3 - 0.4)(2 + 0.5) = -6 + -0.8 + -1.5 + 0.2 = -6 + -1 + -1.5 = -7 + -1.5 = -8.5.

Answer:

≈ 3927 litres

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = Ah ( A is the area of the base and h the height )

Note that h of oil = 250 ÷ 2 = 125 cm ( since half full )

V = πr²h

   = π × 100² × 125 = 1250000π cm³ ( divide by 1000 )

   = [tex]\frac{1250000\pi }{1000}[/tex] = 1250π litres ≈ 3927 litres ( to the nearest litre )

Answer:

3927

Step-by-step explanation:

first u have to find volume of cylinder its volume is

V=

[tex]\pi \times radius ^{2} \times height[/tex]

so it become 7853981cm^3 then convert it into Liters as you know 1liter=1000cm^3

so divide your volume with 1000 and the answers

is 7853 so as u know that it is half filled than divied ur 7853 by 2 then final ans is 3927

Answer:

6x^2y+12xy^2+9xy

Step-by-step explanation:

Answer:

6 cups of sugar left

hope this helps

Given that:

Length of a rope = 224 cm

Rope is cut so that one part is 3/4 of the other.

Solution:

Let one part of a rope be x cm.

So other part of the rope is [tex]\dfrac{3}{4}x[/tex].

Total length [tex]=x+\dfrac{3}{4}x[/tex]

Now,

[tex]x+\dfrac{3}{4}x=224[/tex]

[tex]\dfrac{4x+3x}{4}=224[/tex]

Multiply both sides by 4.

[tex]7x=896[/tex]

Divide both sides by 7.

[tex]x=\dfrac{896}{7}[/tex]

[tex]x=128[/tex]

The value of one part 128 cm.

Second part [tex]=\dfrac{3}{4}x[/tex]

[tex]=\dfrac{3}{4}\times 128[/tex]

[tex]=3\times 32[/tex]

[tex]=96[/tex]

Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.

Answer:

The probability is 0.081

Step-by-step explanation:

Here, we want to calculate the probability that the 3rd inspection will be defective.

What this means is that the first two would

not be defective.

Probability of having a defective DVD = 10% = 10/100 = 0.1

Probability of not having a defective DVD = 1 -0.1 = 0.9

So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective

= 0.9 * 0.9 * 0.1 = 0.081

Answer:

[tex]x=3\text{ or } x=-15[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|2x+12|=18[/tex]

Definition of Absolute Value:

[tex]2x+12=18\text{ or } 2x+12=-18[/tex]

Subtract 12 from both sides for both equations:

[tex]2x=6\text{ or } 2x=-30[/tex]

Divide both sides by 2 for both equations:

[tex]x=3\text{ or } x=-15[/tex]

And we're done!

Answer:

Step-by-step explanation:

Assume 105 is 10⁵ and 104 is 10⁴

Water flow in 1 day is the product of the two numbers above:

Answer: n = 11.5

Step-by-step explanation:-140=-32n +228

-368=-32n

Answer: x > -11/2

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Answer:

x>-11/2

I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.

Hope this helps a little bit, though.

Answer:

Sorry this is late, but for future reference the answer is 98°.

Step-by-step explanation:

I took the quiz.

Answer:

67 degrees

Step-by-step explanation:

It is given that,

The measures of the three angles of a triangle are 43°, 70°, and xº.

We need to find the value of x.

We know that, the sum of angles of a triangle is equal to 180 degrees. Applying this theorem, we get :

[tex]43^{\circ}+70^{\circ}+x^{\circ}=180^{\circ}\\\\113^{\circ}+x^{\circ}=180^{\circ}\\\\x^{\circ}=180^{\circ}-113^{\circ}\\\\x^{\circ}=67^{\circ}[/tex]

Hence, the value of x is 67 degrees.

Answer:

16

Step-by-step explanation:

Let x = a number

2x+8=x+12

x=16

The Lily is correct because full numbers are not fractions and can be positive, negative, or zero.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56 etc. are the numbers.

Lilly is on point. Integers are full numbers that are not fractions and can be positive, negative, or zero, so she is right.

For example:

1/2 + 1/3 = 5/6

Thus, the Lily is correct because full numbers are not fractions and can be positive, negative, or zero.

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Answer:

4th option because the two negatives will become positive and the 3rd will make it negative again

Answer:

the last one which is D (D)

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The point where Andrew stops is (120,0).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the perpendicular line will be,

m × 3 = -1

m = -1/3

Substitute the point in the line,

y = -(1/3)x + C

36 = -(1/3)12 + C

36 = -4 +C

C = 40

Now, the equation of the perpendicular line will be,

y = -(1/3)x + 40

The point will be due east, therefore, the value of y = 0,

0 =  -(1/3)x + 40

-40 = -(1/3)x

x = 120

Hence, the point where Andrew stops is (120,0).

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Answer:

[tex]-30x+2[/tex]

Step-by-step explanation:

[tex]-2(10x-1)-10x[/tex]

Use the distributive property:

[tex]-2(10x)-2(-1)-10x\\\\-20x+2-10x[/tex]

Combine like terms:

[tex]-20x-10x+2\\\\-30x+2[/tex]

:Done

Answer:

-30x+2

Step-by-step explanation:

1. Expand by distributing terms.

2. Remove parentheses.

3. Combine like terms

The answer: -5 ≤ y ≤ 6

The range is all the possible output or y values of the function.

Our first point is at (1, 6) and our second point is at (-4, -5)

That means our y values are 6 and -5. Let's set up a compound inequality to represent our function.

-5 ≤ y ≤ 6. This means that x is greater than or equal to -5 and less than or equal to 6.

Answer:

The sequence has common difference 3, and its general nth term can be written as:

[tex]a_n=3\,n-1[/tex]

Step-by-step explanation:

In order to define the sequence, we recall the formula for the nth term of an arithmetic sequence as:

[tex]a_n=a_1+(n-1)\,d[/tex]

where "d" is the common difference for the sequence (our unknown in this case), and the nth term is our fourth term (n = 4) which equals 11, and the first term is 2:

[tex]a_n=a_1+(n-1)\,d\\11=2+(4-1)\,d\\9=3\,d\\d=9/3\\d=3[/tex]

Therefore our sequence has common difference 3, and its general nth term can be written as:

[tex]a_n=2+(n-1)3\\a_n=3\,n-1[/tex]

Answer:

90 mph

Step-by-step explanation:

30 / (1/3) = 90