Here is the graph of f(x)
Which could be its equation?

f(x) = (x+2)(x+6)
f(x) = (x-2)(x-6)
f(x) = (-x-2) (x+6)

The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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Answer:

B

Step-by-step explanation:

The screenshot given explains the formula of standard deviation, which measures the variation of numbers in a set.

It basically says we have to find the sum of all the numbers subtracted by the mean squared, and divide that by the number of data sets, and then square root.

The only way we can get this problem is by B.

Answer: C

Step-by-step explanation: If you solve each of them (1 x 4=4, 2x4=8, 3x4=12, 6x4=24), You can see that the are rational.

Answer:

The vertex is 3, -5

Step-by-step explanation:

the vertex is known as like an endpoint/edge of a graph. It’s like the tip or bottom of the U

A

The slope intercept form of a linear equation is expressed as

y = mx + c

where

m is the slope or rate of change

c is the y intercept

The standard form equation is expressed as

Ax + By = C

Considering Juwan's case,

slope, m = 4

y intercept, c = 0

Thus, the slope intercept equation for Juwan's stock is

y = 4x

The standard form equation for Juwan's stock is

4x - y = 0

Considering Jamie's case,

slope, m = 3

y intercept, c = 4

Thus, the slope intercept equation for Jamie's stock is

y = 3x + 4

The standard form equation for Jamie's stock is

3x - y = - 4

B)The y axis would be the value of stocks while the x axis would be time. The graph of the equations is shown below

c) Stocks value should be greater than zero.

Time bounds should be realistic(9am to 9pm)

d) The scenario implies causation. It is so because turns in stock causes increment in their individual stock values

The book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

Current year book value

Land and buildings $707,150

Machinery, equipment, and internal-use software $671,793

Office furniture and equipment $106,073

Other fixed assets related to leases $855,652

Less Accumulated depreciation and amortization ($898,081)

Book value $1,442,587

Preceding year book value

Land and buildings $410,147

Machinery, equipment, and internal-use software  $530,363

Office furniture and equipment $91,930

Other fixed assets related to leases $643,507

Less Accumulated depreciation and amortization  ($749,579)

Book value $926,368

Therefore the book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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The mean of the sampling distribution is 120

And the standard deviation of the sampling distribution of the mean using sample size of:

a) n = 16 ⇒ \(\sigma_{\bar{x}}\) = 5

b) n = 25 ⇒  \(\sigma_{\bar{x}}\) = 4

c) n = 36 ⇒  \(\sigma_{\bar{x}}\) = 3.33

d) n = 100 ⇒  \(\sigma_{\bar{x}}\) = 2

We know that for a normally distributed population, the sample mean is also normally distributed.

The sample mean is:

\(\mu_{x}\) = μ

where μ is the population mean.

Here, the population is normally distributed with μ = 120

So, the mean of the sampling distribution for any sample size would be, \(\mu_{x}\) = 120

As we know the formula for the standard deviation of the sample mean is:

\(\sigma_{\bar{x}}\) = σ/\(\sqrt{n}\)

where,  \(\sigma_{\bar{x}}\)  is the Standard deviation of the sample mean

σ is the population standard deviation

n is the Sample size.

Here, σ = 20

Using above formula of the standard deviation of the sample mean,

For sample size n = 100

\(\sigma_{\bar{x}}\) = 20/\(\sqrt{(100)}\)

\(\sigma_{\bar{x}}\) = 20/10

\(\sigma_{\bar{x}}\) = 2

For sample sizen = 16

\(\sigma_{\bar{x}}\) = 20/\(\sqrt{16}\)

\(\sigma_{\bar{x}}\) = 20/4

\(\sigma_{\bar{x}}\) = 5

for sample size n = 25

\(\sigma_{\bar{x}}\) = 20/\(\sqrt{25}\)

\(\sigma_{\bar{x}}\) = 20/5

\(\sigma_{\bar{x}}\) = 4

For the sample size n = 36

\(\sigma_{\bar{x}}\) = 20/\(\sqrt{36}\)

\(\sigma_{\bar{x}}\) = 20/6

\(\sigma_{\bar{x}}\) = 3.33

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The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Answer:

400

Step-by-step explanation:

if there are 4 quarters in one dollar than 100 times 4 is 400

Answer: 400

Step-by-step explanation: Need the answer to the question 'How many quarters in 100 dollars?' We have the answer! There are 400 quarters in $100.

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

Answer:

Step-by-step explanation:

In this scenario, we have two variables of interest: Y1 and Y2. Y1 represents the number of heads obtained after tossing three balanced coins independently, and Y2 represents the amount of money won on a side bet.

To calculate the expected value of Y1, we need to consider all possible outcomes of the three coin tosses. There are 2^3 = 8 possible outcomes, each of which has a probability of 1/8. The possible values of Y1 are 0, 1, 2, and 3. The expected value of Y1 is therefore:

E(Y1) = (01/8) + (13/8) + (23/8) + (31/8) = 1.5

This means that on average, we can expect to get 1.5 heads when tossing three balanced coins independently.

To calculate the expected value of Y2, we need to consider the probabilities of each possible outcome of the coin tosses and the corresponding payout for each outcome. We can break this down into four cases:

Case 1: The first head appears on the first toss. This has a probability of 1/2 (since the first toss can be either heads or tails). The payout for this outcome is $1.

Case 2: The first head appears on the second toss. This has a probability of (1/2)*(1/2) = 1/4 (since the first toss must be tails and the second toss must be heads). The payout for this outcome is $2.

Case 3: The first head appears on the third toss. This has a probability of (1/2)(1/2)(1/2) = 1/8 (since the first two tosses must be tails and the third toss must be heads). The payout for this outcome is $3.

Case 4: No heads appear. This has a probability of (1/2)(1/2)(1/2) = 1/8 (since each toss must be tails). The payout for this outcome is -$1.

The expected value of Y2 is therefore:

E(Y2) = (11/2) + (21/4) + (31/8) + (-11/8) = 7/8

This means that on average, we can expect to win $0.875 on the side bet when tossing three balanced coins independently.

A linear equation for h as a function of time, t, in seconds since it was fired is; h(t) =  (18t + 28) ft

We are given that the Rate of increasing of height is 18 ft/s

We are told that at t = 5 seconds, the height is 118 feet,

This means that;

h(5) = 118 ft

We know that height of rocket is increasing 18 ft for every second passed, and it will also have an initial height.

Thus;

h(t) = 18t + h₀

where;

h₀ is the initial height

Plugging in the relevant values for a height of 5 seconds gives;

118 = (18 * 5) + h₀

h₀ = 118 -90

h₀ = 28 ft

Thus, the equation for the height is;

h(t) =  (18t + 28) ft at a time t seconds.

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To find:

b) measure of angle 1

d) If AC = 10, then DE = ?

Solution:

b) Given that ABCD is a square. It is known that the interior angle of a square is equal to 90 degrees and the diagonal bisects the interior angles of the square. So, angle 1 is equal to 45 degrees.

Thus,

d) The diagonals of a square are equal in length. If AC = BD = 10 cm.

The diagonal of a square bisect each other. So, BE = ED = 5 cm.

Thus, DE = 5 cm.

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer: $6.45

Step-by-step explanation:

Take the total cost of 3 cans of orange juice

$2.15

Now multiply $2.15 by 3

$2.15x3

You will get

$6.45

Answer:

3 : $2.15

9 : ? (more)

9/3 × $2.15 = $6.45

Answer:

t=-132

Step-by-step explanation:

multiply -12 on both sides.

-12x11=t

t=-132

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

Options (A), (C), (D) and (E).

Step-by-step explanation:

There are two types of sets in the given options.

1). Numerical data - Data which shows the numeral values or the numbers which tells the exact meaning of quantities like length, width or height.

2). Categorical data - Data which has no numeral values or no logical order.

Therefore, sets which show the numerical data are,

Option (A)

Option (C)

Option (D)

Option (E)

Answer:

A, C, D, E

Step-by-step explanation:

Answer:

m<A = 20°

Step-by-step explanation:

360  160 = 200

m<A = (1/2)(200° - 160°)

m<A = 20°

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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