In a quadratic function, the second difference is

a
the common ratio
b
a constant
c
the same as the common difference
d
exponential

Answer:

3240 sq meters

Step-by-step explanation:

Area of garden = 90*60= 5400 square meters.

Flowers grown on = 40%

So, grass grown on = (100 -40)% = 60%

60% of 5400 = 0.6*5400 = 3,240.

So, the area of the garden that is grass = 3,240 square meters

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

The probability of substandard aggregates is 0.044.

Step-by-step explanation:

We are given that orders are for Company A to deliver 700 truckloads a day and 300 truckloads a day from Company B.

From prior experience, it is expected that 5% of the material from Company A will be substandard and 3% of the material from Company B will be substandard.

Let the probability that orders are for Company A to deliver = P(A) = \(\frac{700}{1000}\)

The probability that orders are for Company B to deliver = P(B) = \(\frac{300}{1000}\)

Let event S = material which is substandard

So, the probability that the material from Company A will be substandard = P(S/A) = 0.05

the probability that the material from Company B will be substandard = P(S/B) = 0.03

Now, the probability of substandard aggregates is given by = P(S)

P(S) = P(A) \(\times\) P(S/A) + P(B) \(\times\) P(S/B)

      = 0.7 \(\times\) 0.05 + 0.3 \(\times\) 0.03

      = 0.044

Hence, the probability of substandard aggregates is 0.044.

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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Answer:

The correct option is (c).

Step-by-step explanation:

The combined formula is given by :

\(h=\dfrac{V}{\pi r^2}\) ...(1)

h is height

V is volume

r is radius

It is clear from formula (1) that h varies directly with V and inverse;y with the square of r.

Hence, the correct option is (c).

Answer:

h varies directly with V and inversely with the square of r.

Step-by-step explanation:

(Since pie is a constant, it's not said in the "sentence")

I also just got it right on the quiz.

If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.

The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.

In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.

⇒ Number of bunches = ($18)/($2) per bunch,

⇒ Number of bunches = 9 bunches;

Therefore, with $18, you can buy 9 bunches of seedless green grapes.

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Answer:

49x0.08= 3.92 l

Step-by-step explanation:

so, you must order 4 bottles

Answer:

4 bottles

Step-by-step explanation:

49×0.08=3921

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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Answer:

Step-by-step explanation:

   given equuation      10\(\sqrt{3x\)+4\(\sqrt{3x\)+5\(\sqrt{3x}\)

                                    =19\(\sqrt{3x}\)

the answer is 19\(\sqrt{3x}\)

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Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The negatively skewed data distribution , the mean of negatively skewed data will be less than the median and the tail of the distribution is longer on the left side

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the value of N is

In a negatively skewed distribution , negatively skewed data will have a mean that is lower than the median. No matter how long or fat the tails are, the distribution exhibits zero skewness if the data is graphed symmetrically.

When a distribution is negatively skewed, more values are shown on the graph's right side, the left side of the distribution's tail is longer, and the mean is lower than the median and mode. Due to the data's negative distribution, it can be zero or negative.

Hence , tail of the distribution is longer on the left side for negative distribution

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Answer:

The one on the top right

Step-by-step explanation:

It displays 8 steps each with a length of 1/2 to represent 8 x 1/2.

HTH :)

Answer:

800,000

Step-by-step explanation:

Answer:

$841.10

Step-by-step explanation:

To find the total cost of the TV with sales tax included, we need to add the tax to the listed price.

The tax amount is:

$787.95 × 0.0675 = $53.15

So the total cost with tax included is:

$787.95 + $53.15 = $841.10

Rounded to the nearest cent, the total cost is $841.10.

Answer:

\( \frac{2 \times number}{3} = 18 \\ number = 27 \\ \\ if \: number = 27 \: then \: \\ \ \frac{5 \: \times number}{9} \\ = \frac{5 \times 27}{9} \\ = 15\)

9514 1404 393

Answer:

  92°

Step-by-step explanation:

∠1 is an "alternate exterior angle" with the one marked 92°. Alternate exterior angles are congruent, so ...

  ∠1 = 92°

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

Don't know if there's more to this.

He Owes –$18

He gets +$30 for cleaning the house.

He'll simply have 30–18 = $12 after paying the debt he owes his Mom.

Answer:

$12

Step-by-step explanation:

If Ryan owes his mom 18 dollers, that means he has to pay his mom 18 dollers and then gets 30 dollers in return.

so the expression is -18+30 which is 12 dollers. So Ryan will have 12 dollers extra after paying is mom.

It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.

In Economics,  the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."

In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.

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Answer:

100 square feet (100 ft²)

Step-by-step explanation:

Formula

Area of stage

Area of trapezoid:-

Area of parallelogram

Total:-

There are approximately 205.33 gallons of water in the water cooler when it is completely full.

What is the volume of the cylinder?

The volume of a cylinder is given by the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height of the cylinder.

The volume of the cylindrical water cooler is:

V = πr^2h

where r is the radius and h is the height. Substituting the given values:

V = 3.14 x (3.5/2)^2 x 2

= 27.44 cubic feet

To convert cubic feet to gallons, we can multiply by 7.48 gallons/cubic foot:

V = 27.44 x 7.48

= 205.32 gallons

Rounding to the nearest hundredth, the answer is:

205.32 ≈ 205.33 gallons

Hence, there are approximately 205.33 gallons of water in the water cooler when it is completely full.

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Answer:

The correct answer is 143.86 gallons

Step-by-step explanation:

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.50-g=$1.25 solve the equation and check your solution ​

3.5 - g = 1.25

g = 3.5 - 1.25

g = 2.25

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

check

3.5 - 2.25 = 1.25

1.25 = 1.25

the answer is good

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

Answer:

4⅔ or 4.67 feet

Step-by-step explanation:

Area of a triangle is ½bh

½×b×6=14

3b=14

14÷3=4⅔

Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5