Part A
BOXES The diagram shows the dimensions of a box used by a manufacturing company to
ship products.
s+2
s+3
What is the volume of the box? Write the expression in standard form.

Answer:

Podemos utilizar la información proporcionada para escribir la siguiente fórmula y resolverla para encontrar el valor de X, que representa el costo de cada bolsa de naranjas:

6,49 + 8X = 59,53

Para resolver la fórmula, primero debemos despejar la variable X. Restamos 6.49 de ambos lados:

8X = 53,04

Luego, dividimos ambos lados por 8:

X = 6,63

Por lo tanto, cada bolsa de naranjas cuesta $6.63.

Here we get 1.3 is the growth factor, 0.3 is the growth rate, and 1 is the initial population of amoebas.

Since Madison's population of 1,000 amoebas begins by doubling every hour for a certain number of hours, h.

In other words, the total number of amoebas after one hour is

3*1000=[tex]3^{1}[/tex]*1000.

Total number of amoebas after two hours is equal to 3*3000=[tex]3^{2}[/tex]*1000. The total number of amoebas after three hours is 3*9000=[tex]3^{3}[/tex]*1000.

In a similar manner, the total number of amoebas,

f(h) = [tex](1+0.3)^{h}[/tex]

where the starting amoeba population is 1000. 3 is the population growth factor, and f(h) is the amoeba population after h hours.

Since Tyler begins with a colony of a single amoeba that grows by 30% per hour for a certain length of hours.

In other words, after one hour, there were =[tex](1+0.3)^{1}[/tex]

After two hours, there were a total of =[tex](1+0.3)^{2}[/tex]

After three hours, there were a total of =[tex](1+0.3)^{3}[/tex]

In a similar manner, the total number of amoebas,

f(h) =[tex](1+0.3)^{h}[/tex]

where 1.3 is the growth factor, 1 is the initial population of amoebas and 0.3 is the growth rate.

Learn more about expressions:

https://brainly.com/question/11702440

#SPJ4

Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

Answer:

60

good luck!

Answer: 166.5 inch.

Explanation:

There are a lot of steps to this. First of all, as seen in the picture below, we split the shape into a triangle and a rectangle. We can first find the area of the triangle first, which would be:

[tex]\frac{45}{2}[/tex] = 22.5 inch.

Next, using the pythagoras theorem, we can find the missing side of the triangle. So, we do:

[tex]\sqrt{7.5^2+6^2} = x\\\\\frac{3\sqrt{41} }{2} = x = 9.6[/tex]

Now we have that side, we can calculate the area of the rectangle, which would be 16 x 9 = 144 inch.

So now we can add both areas:

144 + 22.5 = 166.5 inch.

Answer:

The population of the city in 2020 was 89,500 to the nearest 100 people.

Step-by-step explanation:

The original population in 2010 is 100%.  

If the population is increased by 7.7% from 2010 to 2015, the total percentage in 2015 is 107.7% of the population in 2010.

Convert this to a decimal and multiply by the original population of 87,000 to find the population of the city in 2015.

[tex]\begin{aligned}\implies \sf 107.7\%\;of\;87000&=\sf 1.077 \times 87000\\&=\sf 93699\end{aligned}[/tex]

Therefore, the population of the city in 2015 was 93,699.

The population in 2015 is 100%.  

If the population is decreased by 4.5% from 2015 to 2020, the total percentage in 2020 is 95.5% of the population in 2015.

Convert this to a decimal and multiply by the population in 2015 to find the population of the city in 2020.

[tex]\begin{aligned}\implies \sf 95.5\%\;of\;93699&=\sf 0.955 \times 93699\\&=\sf89482.545 \end{aligned}[/tex]

Therefore, the population of the city in 2020 was 89,500 to the nearest 100 people.

At 0.0175% of the carbon-14 is released each year, rounded to the nearest hundredth.

The amount of carbon-14 released each year can be represented as the rate of change of the amount of carbon-14 in the body of an organism with respect to time.

Where

To find the percent of the carbon-14 that is released each year, we can divide the rate of change by the initial amount of carbon-14 and multiply by 100 to express it as a percentage:

⇒percent released/year =[tex]=100*\frac{ d(y)}{dt}[/tex]/a

[tex]=\frac{-100*y}{a* tau}[/tex] = [tex]-100 * (0.5)^(t / tau) / tau[/tex]

At t = tau, the percent released/year will be[tex]-100 * (0.5)^\frac{(1) }{tau}[/tex],

which is approximately -0.0175 per year.

So,

Therefore, each year approximately 0.0175 percent of the carbon-14 is released, rounded to the nearest hundredth.

For more such questions on carbon-14 is released

https://brainly.com/question/29183250

#SPJ4

Answer:

40 to 60 is the answer of this question

Answer: The original price of the bracelet before tax can be found using the following formula:

original price = (total price) / (1 + sales tax rate as decimal)

In this case, the total price is 0.72 dollars, and the sales tax rate as a decimal is 0.06. Plugging these values into the formula, we get:

original price = 0.72 / (1 + 0.06)

original price = 0.72 / 1.06

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 10s + 93}[/tex]

Step-by-step explanation:

= 10 (s + 9) + 3

= 10s + 90 + 3

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

10(s + 9) +3

10s + 90 + 3

10s + 90 +3

10s + 93

Solution 10s + 93

Answer:

Below

Step-by-step explanation:

a)  DIRECT variation    y = k  x

                                    10 = k (4)

                                      10/4 = k = 2.5

                y = 2.5 x

b)    y = 2.5 x

       y = 2.5 (10) = 25

The values of x for the different diagrams are given below.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

There are four diagrams.

Diagram 1:

By the alternate exterior angles,

8x + 19 = 139

8x = 120

x = 15

Diagram 2:

By the corresponding angles,

17x - 45 = 108

17x = 153

x = 9

Diagram 3:

By the alternate interior angles,

7x -1 = 13x - 43

6x = 42

x = 7

Diagram 4:

By the consecutive interior angles,

8x + 19 = 139

8x = 120

x = 15

Hence, the solutions for all the values are given above.

To learn more about the parallel lines;

brainly.com/question/16701300

#SPJ1

The skier's displacement from his starting point is 127.179 m and makes an angle of 33.78°.

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given A skier moves 100.0 m horizontally, and then travels another 35.0 m uphill at an angle of 35.0º

base distance = 100 m

We will utilize the cosine rule to determine the magnitude of displacement because the triangle formed by the starting point, where he begins to ascend, and the ending point does not have a 90-degree angle. Cosine law requires a triangle with two sides and an angle between them, both of which are present.

a² = b² + c² - 2.b.ccos(α)

here a is the length of the third side,

b = base = 100m

c = 35 m

and α = 180 - 35 = 135°

so a² = b² + c² - 2.b.ccos(α)

a² = 100² + 35² - 2(100)(35)cos(135)

a² = 10000 + 1225 + 4949.74

a² = 16174.74

a = 127.179 m

and the angle between sides 100m and 127.179 m is given by

cosβ = (a² + c² - b²)/2a.c

cosβ = (127.179² + 35² - 100²)/2(127.179)(35)

cosβ = 0.831

β = cos⁻¹(0.831)

β = 33.78°

Hence displacement from the starting point is 127.179 m and forms an angle of 33.78°.

Learn more about the laws of cosines;

https://brainly.com/question/17289163

#SPJ1

A direct variation equation that shows the relationship between x and y is,

y = 8x.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

In a direct variation, y=16 when x=2.

The proportional relationship between x and y:

y ∝ x.

y = kx, where k is constant.

When x = 2,

16/2 = k

k = 8.

Therefore, the relationship is y = 8x.

To learn more about the proportional relationship;

brainly.com/question/28777033

#SPJ1

Answer: mass of silver is 75g

Step-by-step explanation:

Answer:

(-3,1)

Step-by-step explanation:

The value of x [tex]\frac{-9+3}{2}[/tex] = -3

The value of y [tex]\frac{4-2}{2}[/tex] = 1

Answer:

Mid point is (-3, 1)

Step-by-step explanation:

Let mid point be M

[tex] { \boxed{ \sf{m = ( \frac{x _{1} + x _{2} }{2}} , \: \frac{y _{1} + y _{2}}{2}) }} \\ \\ { \tt{m = ( \frac{ - 9 + 3}{2} , \: \frac{4 - 2}{2} )}} \\ \\ { \tt{m = ( \frac{ - 6}{2}, \: \frac{2}{2} ) }} \\ \\ { \tt{m = ( - 3, \: 1)}}[/tex]

Considering all the given information, the probability of a widget being less than or equal to 56 is approximately 0.1587

The formula for converting a value to a standard score, also known as a z-score, is:

z = (x - μ) / σ

Where x is the value of interest, μ is the mean, and σ is the standard deviation.

To find the probability of a widget being less than or equal to 56, we first find the corresponding z-score:

z = (56 - 65) / 9 = -1

We can then use the cumulative distribution function (CDF) of the standard normal distribution to find the probability of a z-score being less than or equal to -1:

P(z ≤ -1) = 0.1587

So the probability of a widget being less than or equal to 56 is approximately 0.1587, or 15.87%.

To learn more about standard deviation Click here:

brainly.com/question/23907081

#SPJ4

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

Hope this helps! If you find my answer helpful, please consider marking brainliest! If you have any questions, feel free to ask me in the comments!

Answer:

10413000 visitors

Step-by-step explanation:

117% = 1.17

8900000 times 1.17 = 10413000 visitors

So, there were 10413000 visitors in 2007.

Answer:  We can predict that the rolls will result in a sum greater than 9 approximately 24 times.

Step-by-step explanation: The theoretical probability of both rolls equaling a sum greater than 9 is given as 6/36. To predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times, we can use the concept of probability.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the probability of both rolls resulting in a sum greater than 9 is 6/36, which simplifies to 1/6. This means that out of every 6 possible outcomes, 1 will result in a sum greater than 9.

To predict the number of times this will occur in 144 repetitions, we can multiply the probability by the number of repetitions:

(1/6) * 144 = 144/6 = 24

Therefore, we can predict that the rolls will result in a sum greater than 9 approximately 24 times if the experiment is repeated 144 times.

Answer:

It's because the graph of arithmetic sequence forms a set of discrete points lying on a straight line.

Answer: We can use the formula for exponential growth to find the value of the quantity after 23 years:

Q(t) = 8500 * 2^(t/9)

Where Q(t) is the value of the quantity after t years, and t/9 is the number of doublings that have occurred.

Substituting t = 23 into the formula:

Q(23) = 8500 * 2^(23/9) = 8500 * 2^2.56 = 8500 * 12.90 = 109350

So, after 23 years, the quantity has a value of approximately 109,350, rounded to the nearest hundredth.

Step-by-step explanation:

Answer: To solve the inequality, we start by isolating the variable n:

-6(n-1) < 3

-6n + 6 < 3

-6n < -3

n > 1/2

And for the other inequality:

2(n+1) > 0

2n + 2 > 0

2n > -2

n > -1

Now, we can plot these solutions on a number line:

[-----1/2-----][-------------n > 1/2----------------]

[-----n > -1-----][-------------]

So, the solution set for the inequality is n > -1 and n > 1/2, which means that n belongs to the interval (1/2, +∞).

Step-by-step explanation:

Answer:

0.7619047619≈0.76

Step-by-step explanation:

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables.

0.8: Strong Association

0.25: Weak Association

0.9: Strong Association

0.65: Moderate Association

The correlation coefficient is a numerical measure of the strength of the linear relationship between two variables. Values of the correlation coefficient fall between -1 and +1. A coefficient of 0 implies that there is no linear relationship between two variables. The closer the coefficient is to either -1 or +1, the stronger the correlation. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

Learn more about correlation here

https://brainly.com/question/28898177

#SPJ4

Answer:

x=-153

Step-by-step explanation

3/4(1/6x) + 3/4(16) = 3/7(35/8)-3/7(21)

1/8x+12=15/8-9

8(1/8x+12=15/8-9)

1x+96=15-72

1x+96=-57

x=-153

Answer:

10

Step-by-step explanation:

25% of 40 1/4*40=40/4=10

The major plate motion rates range from less than 10 mm/y to more than 100 mm/y. The fastest plate is the Pacific Plate, followed by the Australian and Nazca Plates. The North American Plate is one of the slowest, with average rates ranging from around 1 cm/y in the south to nearly 4 cm/y in the north.

Plates move as rigid bodies, it may appear surprising that the North American Plate can move at different rates in different locations. Plates move in a rotational fashion, as explained. For example, the North American Plate rotates counter-clockwise, while the Eurasian Plate rotates clockwise.

There are three types of plate boundaries: divergent, convergent, and transform (moving side by side). Before we discuss processes at plate boundaries, it is critical to note that there are no gaps between plates.

The plates are made up of crust and the lithospheric part of the mantle, and despite moving in different directions all the time, there is never a significant amount of space between them.

To learn more about North American Plate link is here

brainly.com/question/29633157

#SPJ4