Solve for s. . ...................

Answer:

2x+\(\frac{1}{4}\)

Step-by-step explanation:

hamster=x

guinea pig = x+ 1/4

x+x=2x

then just add the 1/4

The half-life of a substance is the amount of time it takes for half of the substance to decay or disintegrate. The half-life formula is used to calculate the amount of a substance that remains after a certain amount of time has passed.

To understand the half-life formula, it is important to first understand the concept of radioactive decay. Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting ionizing particles and radiation. This process results in the nucleus becoming more stable, often by converting into a different element.

The half-life formula is typically represented as t1/2. The t1/2 represents the half-life of the substance, and the number following it represents the number of half-lives that have passed. The formula can be used to calculate the remaining amount of a substance after any number of half-lives. For example, if the half-life of a substance is 10 days and 20 days have passed, the formula would be used to calculate the remaining amount of the substance after 2 half-lives (20 days / 10 days per half-life = 2).

The formula is typically used in the context of radioactive decay, but it can be used for other types of decay as well. In physics and chemistry, the half-life of a substance is commonly used to measure the stability of a substance and predict how long it will remain stable. The half-life formula can also be used to calculate the rate of decay of a substance, which is useful for understanding how a substance will behave over time.

In short, the half-life formula is used to calculate the remaining amount of a substance after a certain amount of time has passed, based on the substance's half-life. It is a useful tool for understanding the stability and rate of decay of a substance, and it is widely used in physics, chemistry, and other sciences.

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Answer:

$150 per month

Step-by-step explanation:

The amount of money that he will need to save each month to afford to pay for one year's tuition will be $ 150.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Joshua wants to attend a community college that charges $4,600 per year for tuition.

His grandparents will contribute $1,000 to pay for his first year of college.

If Joshua wants to save the money he makes at his job for the next 2 years.

Then the amount of money that he will need to save each month to afford to pay for one year's tuition will be

⇒ ($ 4600 - $ 1000) / 24

⇒ $ 3600 / 24

⇒ $ 150

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The figure second represents the foundation drawing of a provided front, right, and top view option second is correct.

Three-dimensional objects can be represented in two dimensions via an orthographic projection.

As we have given orthographic drawings.

The front, right, and the top view is shown in the picture of the cuboid if merge all the view we will find the three-dimensional figure is a cuboid.

We can represent the cuboid by 2×3 grids as shown in the picture second.

Thus, the figure second represents the foundation drawing of a provided front, right, and top view option second is correct.

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Answer:

$2.60

Step-by-step explanation:

10% = 0.1

26 times 0.1 = $2.60

So, Chad pays $2.60 tax.

Answer:$28.60-26= 2.60

Step-by-step explanation:

$26 = 100%

sales tax = +10%

total price 26 x 110%

Using the triangle sum theorem, x = 7 and y = 18.

The theorem that says that all the interior angles of a triangle will be equal to 180 degrees is referred to as the triangle sum theorem.

In the diagram given, since vertical angles are congruent, therefore:

(11x - 9) + (6x - 2) + 72 = 180 [triangle sum theorem]

Solve for x

11x - 9 + 6x - 2 + 72 = 180

17x + 61 = 180

17x = 180 - 61

17x = 119

x = 7

Also,

(5y - 8) + (11x - 9) + 30 = 180 [triangle sum theorem]

5y - 8 + 11x - 9 + 30 = 180

5y + 13 + 11x = 180

Plug in the value of x

5y + 13 + 11(7) = 180

5y + 13 + 77 = 180

5y + 90 = 180

5y = 180 - 90

5y = 90

y = 90/5

y = 18

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Answer: 45

Step-by-step explanation:

Set up a number line with 1 60 and 100. To get from 100 to 1 you divide by 100 so you also do that to 60 then to get 1 to 75 multiply by 75 same with 0.6 which will be 45

Answer:

45 your welcome <3.

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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Answer: it’s 2

Step-by-step explanation:

Answer:

look at the explanation

Step-by-step explanation:

A cylindrical container has a height of 14 inches and radius of 3.2 inches. It is filled with pasta, but there is 1.5 inches of space left at the top. How many cubic inches of pasta are in the container?

1. Given

h = 14 in

r = 3.2 in

space = 1.5

V pasta = πr² (h - space)

V pasta = π(3.2)² (14 - 1.5)

V pasta = 402.12 in³

Izzie has a muffin tin that holds 12 muffin cups. Each cup is cylindrical with a diameter of 3 inches and a height of 3.5 inches. Izzie has 544.28 cubic inches of batter. How many muffins can she bake?

2. Given

h = 3.5 in

d = 3 in

V batter = 544.28

V muffin = πd²h/4

V muffin = π(3)²(3.5)/4

V muffin = 24.74 in³

# of muffin = V batter/ V muffin

# of muffin = 544.28/ 24.74 = 22

so she can bake 22 muffins

A popsicle tray has 6 cone-shaped popsicle molds. Each popsicle mold has a diameter of 5.4 cm and a height of 12.9 cm. How many cubic centimeters will one tray hold?

3. Given

d = 5.4 cm

h = 12.9 cm

6 cone-shaped popsicles per tray

V popsicle = πd²h/12

V popsicle = π(5.4)²(12.9)/12

V popsicle = 98.48cm³

V popsicle per tray = (98.48cm³) (6)

V popsicle per tray = 590.88cm³

A cone has a volume of 1,230.88 units³ and a diameter of 14 units. How many units is the height of the cone? Use 3.14 for pi.

4. Given

V cone = 1,230.88 units³

d = 14 units

V cone = πd²h/12

h = 12V cone/πd²

h = 12(1230.88)/ (3.14) (14)²

h = 24 units

A cylinder has a volume of 7,598.8 units³ and a height of 5 units. How many units is the diameter of the cylinder? Use 3.14 for pi.

5. Given

V cylinder = 7,598.8 units³

h = 5 units

V cylinder = πd²h/4

d = √4V cylinder/πh

d = √4(7598.8)/3.14(5) = √1936

d = 44 units

Jana and Haiya are each filing a witch's hat in the shape of a cone with candy. Each hat has a radius of 3.4 inches and height of 12.5 inches. How many cubic inches of candy will both hats hold?

6. Given

r = 3.4 in

h = 12.5 in

V hat = πr²h/3

V hat = π(3.4)²(12.5)/3

V hat = 151.32 in³

V two-hats = 2(151.32 in³ )

V two-hats = 302.64 in³

George has 1 ½ containers of toothpaste in the shape of a cylinder. Each container has a diameter of 4 cm and a height of 15 cm. How many cubic centimeters of toothpaste does he have?

7. Given

d = 4 cm

h = 15 cm

V container = πd²h/4

V container = π(4)²(15)/4

V container = 188.496 cm³

V toothpaste = 1.5V container = 1.5(188.496 cm³)

V toothpaste = 282.74 cm³

A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?

8. Given

d = 16 units

h = 11 units

V cone = πd²h/12

V cone = π(16)²(11)/12

V cone = 737.23 units³

How did he determine the two triangles were similar: A. ∠Y ≅∠N and 5/10 = 7/14, therefore the triangles are similar by Single-Angle-Side Similarity theorem.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce that ∆XYZ is congruent to ∆MNP when the angles Y (∠Y) and (∠N) are congruent.

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The probability of rolling a number less than 12 can be calculated as follows: There are 12 possible outcomes when rolling a twelve-sided die with numbers labeled 1 through 12.

Since each number is equally likely to be rolled, the probability of rolling a number less than 12 is 11/12. This fraction can be simplified to 11/12, which is the answer.To calculate the probability of rolling a number less than 12, we must first understand the number of possible outcomes when rolling a twelve-sided die with numbers labeled 1 through 12. There are 12 possible outcomes, since each number has an equal chance of being rolled.Next, we must calculate the number of outcomes that are less than 12. Since all the numbers are less than 12, the number of outcomes that are less than 12 is 11.Finally, we must calculate the probability of rolling a number less than 12. This is done by dividing the number of outcomes that are less than 12 (11) by the total number of possible outcomes (12). 11/12 simplifies to 11/12, which is the probability of rolling a number less than 12.

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Answer:

45.4 in is the answer :)

Step-by-step explanation:

you have to split up the shape. I decided to do it into three different parts one long at the bottom with side lengths of 8 and 4. a smaller rectangle at the top left with measurements of 5.3 and 4, (8-4=4) and the triangle which is 4 by 2.7 (8-5.3). You then find the area of each individual shape, for the rectangles you just multiply getting 32 and 21.2 for the smaller one and then find the triangle by using the formula 1/2b*h which gets you 5.4 then you add the three areas together getting 45.4 hope this helps!

Answer: 45.4 is the answer

You cucullate the base x height and then subtract the 4 in. and 5.3 in.

Answer:

If you mean 0 + (-1) then it's -1

The maximum clearance of the underpass ahead is 12 feet and 6 inches.

Based on the information provided, the sign indicates that there is an underpass ahead with a clearance of 12 feet and 6 inches. The sign further mentions that the train in question is also 12 feet and 6 inches long, and it highlights the presence of a narrow median, which is only 6-12 inches wide.

In this context, the sign serves as a warning to drivers approaching the underpass. The clearance measurement of 12 feet and 6 inches informs drivers of the maximum height of vehicles that can safely pass through the underpass without any risk of collision. Since the train length matches the clearance, it implies that vehicles longer than the underpass clearance may not be able to pass through safely if the train is present.

The mention of a narrow median emphasizes the limited space available between the opposing lanes of traffic. With a width of only 6-12 inches, the median may not provide sufficient room for larger vehicles to maneuver, particularly when encountering oncoming traffic or passing through the underpass while the train is present.

Overall, the sign conveys important information regarding the underpass clearance, the train length, and the narrow median, all of which should be considered by drivers to ensure safe passage through the upcoming area.

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The sign indicates the clearance height of an underpass, warns of a narrow median, and mentions the length of a train.

The sign in question is indicating that there is an underpass ahead with a clearance of 12 feet and 6 inches. This means that any vehicle taller than that would not be able to pass through without hitting the underpass ceiling. Additionally, the sign mentions that the train itself is also 12 feet and 6 inches long, so it is important for drivers to be cautious and aware of the height restrictions. The narrow median mentioned refers to the strip of land or barrier between lanes, which in this case is only 6-12 inches wide.

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Answer:

The slope is 2

Step-by-step explanation:

Every time the x unit goes up one the y unit is going up 2

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

Answer:

call 911

Step-by-step explanation:

they serve anyone

The correct weekly profit of company B as represented by quadratic  inequality is as below:

y≤−50x2+19950x+20,000 y less than or equal to negative 50 x squared plus 19950 x plus 20,000

What is the initial weekly profit?

The initial weekly profit is determined as the initial price of $10 multiplied by 2,000 units sold in one week.

However, a change in price by $5, I mean an increase of $5 means that the quantity sold falls from 2,000 units to 1,990 units, however, it is evident that volume falls but the profit would increase the increase in profit by $5 on 1,990 units is more than the decrease in sales revenue by 10 units, hence, the quadratic equation should have an equal to sign and less than not just less than.

Profit after decrease of 10 units=1990*($10+$5)

Profit after decrease of 10 units=$19,950(the option that $19,950 and > or = signs is correct)

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Answer:

The number of days

Step-by-step explanation:

Since the person sold at saturday and sunday, and it says x represents the number of books sold and 3 represents that 3 more was sold in sunday. Therefore we need to know how much it sold throughout the weekend, so we need to know the number of days to calculate, thus 2 must represents the number of days.

Answer:

Step-by-step explanation:

- 25x + 15y = 750

- (30, 0) are coordinates of x-intercept. If there is no pool-cleaning job student has to do 30 lawn-mowing.  

- (0, 50) are coordinates of y-intercept. If there is no lawn-mowing job student has to do 50 pool-cleanings.

- ( 15 , 25 ) mean 15 lawn-mowing and 25 pool-cleanings

$25(15) + $15(25) = $750

$375 + $375 = $750

Answer:

200

Step-by-step explanation:

80 + 80 plus half of 40% (80) is equal to 200.

Answer:

shade all of the squares with two capital Ns (NN) red. Shade all the squares with one capital N and one Lowercase n with green. Leave the rest (nn) unshaded.

Step-by-step explanation:

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

d = 3; c = -2

Step-by-step explanation:

-4c+7d=29

6c+4d=0

using the second equation we express C:

6c = -4d => c = -4/6 d

substitute the resulting value into the first equation:

4 * 4/6 d + 7d = 29

58d/6 = 29

58d = 174

d = 3

now find the value of C:

c = - 4/6 * 3 = -12/6

c = -2

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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