Solve for x. 0.5x = 4.5

Answer: 13: $3.95

14: 12 months 2 years = 24 months. so 479.76÷24 $20 each month

15: 27.4 meters to go around the flower bed

16: B = 114.3 - 104.76 = $9.54

17: $214.30

18: 2.1

19: 3.5

Step-by-step explanation:

Answer:

point = ( -6, 2)

slope = -3

Step-by-step explanation:

point slope formula;

y - y1 = m ( x - x1) ,

where m= slope , (x1, y1) = the coordinates of a point

y - 2 = -3 ( x + 6)

a point the line passes through = (-6 , 2)

slope of the line = -3

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

161.8cm²

Step-by-step explanation:

solve for height which is the opposite

opp=x

sin(theata)= opp./hyp.

sin23=x/30

x=30×sin23

x=11.72cm

height=opposite

height=11.72cm

base=adjacent

base=27.6cm

½of 27.6cm=13.8

13.8cm×11.72cm=161.74 (2d.p)

161.74 rounded to the nearest tenths= 161.7

I'm not sure if it's the answer but it's the closest thing to the options

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Yes. As the y value is 0, this point would be on the x axis

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Answer:

(2, -4)

Step-by-step explanation:

\({ \sf{f(x) = {x}^{3} - {3x}^{2} }} \\ { \sf{ {f}^{l}(x) = {3x}^{2} - 6x }} \\ \\ { \sf{0 = x(3x - 6)}} \\ { \sf{0 = 3x - 6}} \: \: \: \: \: \\ { \sf{3x = 6}} \\ { \sf{x = 2}}\)

For x = 2

\({ \sf{f(2) = {2}^{3} - 3 {(2)}^{2} }} \\ { \sf{f(2) = 8 - 12}} \\ { \sf{f(2) = - 4}}\)

Point is (2, -4)

Answer:

m= 3.5

Step-by-step explanation:

-2m- 6=-6+ 8m - Starting on the left side, Add 6 to both sides, to get a new equation of;

-2m = -6m +14 -  Then, starting on the right now, add 6m to both sides, to get a new equation of;

4m = 14 - Then divide both sides by 4, to get your final answer of;

m = 3.5

The stock price according to the constant growth dividend model is $68.11 (rounded to two decimal places).

The market value of a share of ownership in a publicly traded corporation is referred to as a stock price.

It is the price that investors are prepared to pay to purchase or sell the company's shares at a specific time, depending on the company's financial performance, its future growth prospects, and the state of the market as a whole.

Investors, analysts, and other members of the financial community pay careful attention to the stock price as it is frequently viewed as a significant indicator of the company's overall worth and health.

According to the constant growth dividend model, the stock price (P) is given by the formula:

P = D / (r - g)

where D is the last dividend, r is the required rate of return, and g is the growth rate of dividends.

Substituting the given values, we get:

P = 5.95 / (0.1188 - 0.0314)

P = 5.95 / 0.0874

P = 68.11

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in a 30 60 90° triangle giving the long leg equals 12 find the short leg of the triangle and find the hypotenuse of the triangle​

see the attached figure to better understand the problem

Remember that the long leg is opposite to 60 degrees angle

the short leg is opposite to 30 degrees angle

step 1

Find the value of x (short leg)

tan(60)=12/x

solve for x

x=12/tan(60)

remember that

so

step 2

Find the hypotenuse H

sin(60)=12/H

H=12/sin(60)

Remember that

substitute

Answer:

a. $21.50

b. $980

c. $25 and $18

Step-by-step explanation:

a. The price that generates the maximum profit is

In this question we use the vertex formula i.e shown below:

\((-\frac{b}{2a}, f(-\frac{b}{2a} ))\\\\\)

where a = -80

b = 3440

c = 36000

hence,

P-coordinate is

\((-\frac{b}{2a}, (-\frac{3440}{2\times -80} ))\\\\\)

\(= \frac{3440}{160}\)

= $21.5

b. Now The maximum profit could be determined by the following equation

\(f(p) = 80p^2 + 3440p - 36000\\\\f($21.5) = -80(21.5)^2 + 3440(21.5) - 36000\\\\\)

= $980

c. The price that would enable the company to break even that is

f(p) = 0

\(f(p) = -80p^2 + 3440p - 36000\\\\-80p^2 + 3440p - 36000 = 0\\\\p^2 -43p + 450 = 0\\\\p^2 - 25p - 18p + 450p = 0\\\\p(p - 25) - 18(p-25) = 0\\\\(p - 25) (p - 18) = 0\)

By applying the factoring by -50 and then divided it by -80 and after that we split middle value and at last factors could come

(p - 25) = 0 or (p - 18) = 0

so we can write in this form as well which is

p = 25 or p = 18

Therefore the correct answer is $25 and $18

The rate of change is how much a quantity have changed relative to another,

Let:

\(P \to\) Pressure

\(V \to\) Volume

Where:

\(V(p) = \frac 1p\)

(a) Average rate of change from p = 7 to 8.

The average rate of change (m) is calculated using:

\(m =\frac{V(p_2) - V(p_1)}{p_2 - p_1}\)

So, we have:

\(m =\frac{V(8) - V(7)}{8-7}\)

\(m =\frac{V(8) - V(7)}{1}\)

\(m =V(8) - V(7)\)

Calculate V(8) and V(7)

\(m = \frac 18 - \frac 17\)

Take LCM

\(m = \frac {7-8}{42}\)

\(m = -\frac {1}{42}\)

(b) The Rate of change at p = 7

We have:

\(V(p) = \frac 1p\)

Differentiate, to calculate the rate of change of V with respect to P

\(V' = -\frac 1{p^2}\)

Substitute 7 for p

\(V' = -\frac 1{7^2}\)

\(V' = -\frac 1{49}\)

Hence, the rate of change with respect to p at p = 7 is -1/49

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

me too (help)

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Simple ratio:

44/88=x/4

Simplify:

1/2=x/4

Cross multiply:

4=2x

x=2

Answer:

x = 2

Step-by-step explanation:

If y varies directly with x then:

\(\boxed{y \propto x \implies y=kx}\)

where k is the constant of variation.

Given y = 88 when x = 44:

\(\implies 88=44k\)

Solve for k by dividing both sides by 44:

\(\implies \dfrac{88}{44}=\dfrac{44k}{44}\)

\(\implies 2=k\)

\(\implies k=2\)

Therefore, the equation is:

\(\boxed{y=2x}\)

To find the value of x when y = 4, substitute y = 4 into the equation and solve for x:

\(\implies 4=2x\)

\(\implies \dfrac{4}{2}=\dfrac{2x}{2}\)

\(\implies 2=x\)

Therefore, the value of x when y = 4 is x = 2.

Using the binomial distribution, it is found that:

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

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Answer: i cant see the pic i would help but i cant see picture

Step-by-step explanation:

52 square inch is the surface area of the given card box.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given a card box of size 8 by 10 inches. the surface area of the card box can be calculated by dividing the card box into three parts, such that:

one piece with a dimension of 4 by 10 and another piece with a dimension of 2 by 3 inches.

Area of card of 4 by 10-inch dimension = 4*10 = 40

Area of card of 2 by 3 dimension = 2 *3 = 6

Thus,

The total area of the card box = Area of bigger card +2*area of smaller card

The total area of the card box = 40 + 2*6 = 52 inches square

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Answer:

358 and 558

Step-by-step explanation:

Answer:

100 before is 358 and 100 after is 558

Step-by-step explanation:

The answer to this given simplification (3x^-4)6/9x^-12 is 2 x^8.

What are exponents?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. It could be an integer, a fraction, a negative integer, or a decimal. In this essay, let's study more about exponents.

given:

(3x^-4)6/9x^-12

=x^-4 . 3 . 6 / 9 . x^-12

= 2. x^-4 /  x^-12

=2 x^8

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Answer:

5+3 x 2=64

Step-by-step explanation:

(5+3) x 2              5^2+3^2=34 not 64

  8 x 2 = 64

Answer:

64

Step-by-step explanation:

Hope this helped

\(-4i(2-i)=-8i+4i^2=\boxed{-4-8i}\)

Answer:

-8i+4i

Step-by-step explanation:

distibutive property

-4i x 2 = -8i

-4i x -i = 4i

-8i+4i

Answer:

35

Step-by-step explanation:

Equation:

(-6/5)x - 4 = -46

Add 4 on both sides:

(-6/5)x - 4 = -46

           +4     +4

(-6/5)x = -42

Multiply both sides by the reciprocal, or opposite:

-5/6[(-6/5)x] = (-42)-5/6

x = 35

Therefore, x is equal to 35.

Answer:

       x = 35

Step-by-step explanation:

Step  1  :  6/5 Simplify

Step  2  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  3  

Rewriting the whole as an Equivalent Fraction

Answer:  x = 35

Hope this helps.

Player B is the more consistent player, determined by the variability.

Range measures the difference between the highest and lowest numbers, whereas the IQR measures the difference between the first and third quartiles.

Range and IQR are both measures of variability that measure how spread out the data is.

Player B has a lower range and IQR than Player A, which indicates that Player B was more consistent.

Since Player B had a lower range and IQR than Player A, this indicates that Player B is the more consistent player.

This shows that Player B is more consistent because the data points are closer together.

This is because Player B had fewer outliers, which made the data points more consistent.

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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