need some help with the question in the image ​

Answer:

x = - 3/2

(the dash by the 3/2 is to show that it is negative, and is part of the answer)

Answer:

x= -3/2

Step-by-step explanation:

Answers:

1: y = 1x + 0.5

3: the y-intercept shows that the original data began above 0 and has had a steady increase since. (not sure abt this one)

4:  I'm sorry i don't know this one

5: the data collection shows that the height to arm span has a ratio of 1 throughout you can tell this by using the line of best fit.

6: according to the line of best fit the height of the person will also be about 66 inches.

7: according to the line of best fit the arm span will also be about 74 inches.

Answer:

Step-by-step explanation:

slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

To know more about center of curvature visit:
https://brainly.com/question/1462533

#SPJ4

Answer:

I think answer b

Step-by-step

Answer:

C

Step-by-step explanation:

Took assignment

Zoe covers varying distances during her journey from her house to the bus stop. She starts from her house, covering 0 yards initially. As she walks towards the bus stop, the distance covered gradually increases, reaching a total of 460 yards when she arrives at the bus stop.

Zoe walks from her house to a bus stop that is 460 yards away. Let's explore the varying distances she would cover during different stages of her journey.

Stage 1: Zoe starts from her house.

At the beginning of her journey, Zoe is at her house. The distance covered at this stage is 0 yards since she hasn't started walking yet.

Stage 2: Zoe walks towards the bus stop.

Zoe starts walking from her house towards the bus stop, which is 460 yards away. As she progresses, the distance covered gradually increases. We can consider various checkpoints to track her progress:

- After walking for 100 yards, Zoe has covered a distance of 100 yards.

- After walking for 200 yards, Zoe has covered a distance of 200 yards.

- After walking for 300 yards, Zoe has covered a distance of 300 yards.

- After walking for 400 yards, Zoe has covered a distance of 400 yards.

- Finally, after walking for 460 yards, Zoe reaches the bus stop. The distance covered at this stage is the total distance from her house to the bus stop, which is 460 yards.

In summary, Zoe covers varying distances during her journey from her house to the bus stop. She starts from her house, covering 0 yards initially. As she walks towards the bus stop, the distance covered gradually increases, reaching a total of 460 yards when she arrives at the bus stop.

Learn more about distance here

https://brainly.com/question/30395212

#SPJ11

Answer: C.5

Step-by-step explanation:

Answer:

Um im no expert but

Step-by-step explanation:

length is a type of measurement, that tells how long something is or how wide it is. hoped this helped^^

A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one variable that is squared but no variables that are raised to a higher power. The general form of a quadratic equation in one variable (usually represented by x) is:

�

�

2

+

�

�

+

�

=

0

,

ax

2

+bx+c=0,

where a, b, and c are constants (numbers) and a is not equal to zero. The term ax^2 is called the quadratic term, bx is the linear term, and c is the constant term.

To solve a quadratic equation, we can use the quadratic formula:

�

=

−

�

±

�

2

−

4

�

�

2

�

.

x=

2a

−b±

b

2

−4ac

​

​

.

This formula gives us the solutions (values of x) for any quadratic equation in the standard form. The expression under the square root, b^2 - 4ac, is called the discriminant of the quadratic equation.

The discriminant can tell us a lot about the nature of the solutions of the quadratic equation. If the discriminant is positive, then the quadratic equation has two distinct real solutions. If the discriminant is zero, then the quadratic equation has one real solution, called a double root or a repeated root. If the discriminant is negative, then the quadratic equation has two complex (non-real) solutions, which are conjugates of each other.

The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The last year value = $120000,

The new value of this year = $50000,

Calculate the percentage by the following formula,

Percentage difference = The new value of this year / The last year's value ×100

Substitute value

Percentage difference = 50000 / 120000 × 100

Percentage difference = 41.6%

Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

To know more about percentages:

https://brainly.com/question/26080842

#SPJ5

The three statements are correct about any business organization is

a) The ultimate goal of a business is to make profits.

b) Customer loyalty has little impact on a business’s revenue.

c) Customer service adds to a business’s profitability in the long run.

What is Revenue?

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

Concept:

The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.

The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.

Over time, providing good customer service increases a company's profits.

To learn more about Profit visit:

brainly.com/question/28856941

#SPJ4

The length of SR to the nearest hundredth is approximately 13.12 units.

What is Pythagoras theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of QR, which is the hypotenuse of right triangle PQR:

PQ² + QR² = PR²

Substituting in the given values:

(9+x)²+ QS² = 16²

We know that QS is the altitude from Q to PR, which means it is also the height of triangle PQR. We can use the area of triangle PQR to find the length of QS:

area of PQR = (1/2) * PQ * QS = (1/2) * 9 * QS

area of PQR = (1/2) * QR * QS = (1/2) * 16 * QS

Since the area of PQR is the same, we can set these two equations equal to each other and solve for QS:

(1/2) * 9 * QS = (1/2) * 16 * QS

9QS = 16QS

QS = (16/9) * x

Substituting this value for QS into the equation we set up earlier:

(9+x)²+ [(16/9)*x]²= 16²

Simplifying and solving for x:

81 + 18x + x²+ 256x²/81 = 256

x²+ 18x + 81 + 256x²/81 - 256 = 0

81x² + 1458x + 6561 + 20736x² - 20736(81) = 0

2889x² + 1458x - 127008 = 0

Using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 2889, b = 1458, and c = -127008

x = (-1458 ± sqrt(1458² - 4(2889)(-127008))) / 2(2889)

x = (-1458 ± sqrt(5872034)) / 5778

x ≈ 13.12 or x ≈ -21.89

Since x represents a length, we take the positive value as our answer:

x ≈ 13.12

Therefore, the length of SR to the nearest hundredth is approximately 13.12units.

To know more about triangles visit:-

https://brainly.com/question/17335144

#SPJ1

Answer:

x=-14.5

Step-by-step explanation:

5x-5=3x -9 –1 –2 1 –3

group like terms

5x-3x=-9 –1 –2 1 –3+5

2x=-29

divide by two

x=-14.5

Answer:

x=18

Step-by-step explanation:

This prompt is about rounding figures up. We can conclud t that where the above are given, both lists are not in the same order.

  To round up the first order to the second decimal place we have:

Rounding the second batch of cheese and ordering them from the least to greatst, we have:

Hence, we can submit that they are both not in the same eorder.

Learn more about rounding figures;
https://brainly.com/question/28724989
#SPJ1

The answer is 0.9939 to four decimal places.

Given that the mathematical expression is: 6 (1 - 0.02 * 46 / 328 = ?)

We have to evaluate the value of the expression by substituting the values for the variables in the expression.

Then simplify the expression to get the answer as follows

Substituting the values for the variables, we get;1 - 0.02 * 46 / 328 = 0.9939

Hence, the answer is 0.9939 to four decimal places.

Learn more about  mathematical expression from this link :https://brainly.com/question/1859113

#SPJ11

Answer:

subtract add

Step-by-step explanation:

Step-by-step explanation:

cos 28=\(\frac{AB}{8}\)

AB= cos28 * 8

   =7.06

hope this helps

Answer:

AB ≈ 7.1 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos28° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{AB}{8}\) ( multiply both sides by 8 )

8 × cos28° = AB , thus

AB ≈ 7.1 cm ( to the nearest tenth )

Answer:

I believe the answer is 10 years old

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

Answer:

h = -1, j = 3

Step-by-step explanation:

Let's subtract the first equation from the second one:

(2h + j) - (2h - 3j) = 1 - (-11)

2h + j - 2h + 3j = 1 + 11

4j = 12

j = 12 : 4

j = 3

Then let's solve the second equation as we know j:

2h + 3 = 1

2h = -2

h = -2 : 2

h = -1

False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.

A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.

Know more about frequency polygon here:

https://brainly.com/question/1581651

#SPJ11

At the optimal level where the present worth of cost is $3 million, the B/C ratio is 0 that is present worth of cost that optimizes the benefit/cost ratio.

To find the present worth of cost that optimizes the benefit/cost ratio, we need to solve the given equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

Let's solve this equation to find the present worth of cost.

By rearranging the equation, we have:

(PW of benefits)² = 18 * (PW of cost) - 54

Taking the square root of both sides, we get:

PW of benefits = √(18 * (PW of cost) - 54)

To optimize the benefit/cost ratio, we want to find the value of PW of cost that minimizes the denominator. In this case, we can consider the derivative of the benefit/cost ratio with respect to the PW of cost and set it equal to zero to find the minimum value. Taking the derivative of the benefit/cost ratio with respect to the PW of cost, we get:

d(B/C) / d(PW of cost) = -18 / (PW of benefits)

= -18 / √(18 * (PW of cost) - 54)

Setting the derivative equal to zero, we have:

-18 / √(18 * (PW of cost) - 54) = 0

Solving this equation, we find that PW of cost = $3 million.

Therefore, the present worth of cost for the project that optimizes the benefit/cost ratio is $3 million. To calculate the B/C ratio at the optimal level, we substitute the value of PW of cost into the equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

(PW of benefits)² - 18 * 3 + 54 = 0

(PW of benefits)² = 0

PW of benefits = 0

To know more about optimal level,

https://brainly.com/question/32379978

#SPJ11

Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

Step-by-step explanation:

length = the original length

width = the original width

length = width + 10 or

width = length - 10

(length + 4) × (width + 8) = 135

A

now we are using the first equation in the second to solve then for length :

(length + 4) × (length - 10 + 8) = 135

(length + 4) × (length - 2) = 135

length² - 2×length + 4×length - 8 = 135

length² + 2×length = 143 or

length² + 2×length - 143 = 0

this is the equation to model the scenario.

solving in general such a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = length

a = 1

b = 2

c = -143

length = (-2 ± sqrt(2² - 4×1×-143))/(2×1) =

= (-2 ± sqrt(4 + 572))/2 =

= (-2 ± sqrt(576))/2 =

= (-2 ± 24)/2 = (-1 ± 12)

length1 = -1 + 12 = 11

length2 = -1 - 12 = -13

a negative solution for a length is not applicable, so,

length = 11

width = length - 10 = 11 - 10 = 1

B

the expanded length = 11 + 4 = 15

the expanded width = 1 + 8 = 9

the expanded perimeter is then

2×15 + 2×9 = 30 + 18 = 48

Answer:

A-18.84

Step-by-step explanation:

just do 6×3.14=18.84

The power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Given the function `f(x) = 2/(3x^2)` and `c=3`.

We are to find the power series for the given function centered at c.

Now, we know that the power series representation for `f(x)` is given by:`

f(x) = ∑(n=0 to ∞) cn (x-c)n`Where `cn = fⁿ(c)/n!`

We will first differentiate the function `f(x)` n times and then substitute `x=c`.`f(x) = 2/(3x²)``f'(x) = -4/(9x³)``f''(x) = 24/(81x^4)``f'''(x) = -96/(243x^5)`

Now, we will substitute `x=3` in the above expressions.

`f(3) = 2/(3(3²))

= 2/27``f'(3)

= -4/(9(3³))

= -4/243``f''(3)

= 24/(81(3^4))

= 8/243``f'''(3)

= -96/(243(3^5))

= -32/243`

Hence, the coefficients `cn` are:`

c₀ = f(3)/0!

= 2/27``c₁

= f'(3)/1!

= -4/243``c₂

= f''(3)/2!

= 8/(2*243)

= 1/81``c₃

= f'''(3)/3!

= -32/(3*243)

= -4/243

`Therefore, the power series representation of `f(x)` is given by:`f(x) = ∑(n=0 to ∞) cn (x-c)n``f(x) = c₀ + c₁(x-c) + c₂(x-c)² + c₃(x-c)³ + ...``f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Hence, the power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Know more about power series here:

https://brainly.com/question/28158010

#SPJ11

A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

learn more about ethnicity here: brainly.com/question/2906553

#SPJ11

Answer:

160

Step-by-step explanation:

13² - 3² = 13 × 13 - 3 × 3 = 169 - 9 = 160

Answer:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Step-by-step explanation:

To know the horizontal change between two points you need to know the two points.

Answer:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line.