Cuál de las siguientes ecuaciones modela una recta creciente?

A. 2x+4y+12=0

B. 3x−2y+3=0

C. −x−3y−12=0

D. −5x+3y+9=0

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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The area of triangle ABC with vertices is 22 square units

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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The number of bacteria will double after 15.93 hours, or approximately 15 hours and 56 minutes.

The given exponential growth equation for N(t) is N(t) = 10000011.

To solve the problems related to it, we need to follow these steps:a) What is the number of bacteria at t = 0 hours?

We need to plug in t = 0 in the given equation of N(t) to find out the number of bacteria at t

= 0 hours.

N(0) = 10000011

= 1

Therefore, the number of bacteria at t = 0 hours is 1.b) When will the number of bacteria double?

Give the exact solution in the simplest form. Do not evaluate.

We know that the formula for the exponential growth function is given by the equation y = abx.

Here, x is the number of units of time passed, a is the initial value of y, b is the growth factor, and y is the final value of the function. We can use this formula to find out the time when the number of bacteria doubles.To find out the time when the number of bacteria doubles,

we can set y = 2 and s

olve for x.2 = abx

Since we are given that

N(t) = 10000011, we can write the above equation as:

2 = 10000011 * bxTaking the natural logarithm of both sides,

ln 2 = ln 10000011 + ln bx

Simplifying,

ln 2 - ln 10000011 = ln b + x ln b

Using a calculator, we get,

ln b = ln 2 - ln 10000011ln b

≈ -20.723

Using the properties of logarithms, we get,

x = [ln 2 - ln 10000011] / ln bSubstituting the value of ln b,

we get,x ≈ 15.93

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These inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.

The system of inequalities that represents the situation is:

x + 10y ≤ 60 (total cost cannot exceed $60)

x ≤ 35 (no more than 35 individual songs)

y ≥ 3 (at least three albums)

Here, x represents the number of individual songs and y represents the number of albums.

The first inequality, x + 10y ≤ 60, ensures that the total cost of Bob's purchases does not exceed $60.

The second inequality, x ≤ 35, ensures that Bob does not buy more than 35 individual songs.

The third inequality, y ≥ 3, ensures that Bob buys at least three albums.

Together, these inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.

Note that this system of inequalities assumes that Bob only buys whole albums, and not individual songs from albums. If he buys individual songs from albums, the system of inequalities would be more complex.

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Answer:

97.2

In mixed number form its 97 1/5

Answer:

3

Step-by-step explanation:

1 + 2 = 3

please mark this answer brainliest if it helped you in any way:)

Answer:

3

Step-by-step explanation:

1 + 2 = 3

Let break it down.

Lets say you have 1 apple

Your friend has 2 apples

All together you have 1 + 1 + 1 = 3 apples

Answer:

hello the correct answer is y=30x+20

Step-by-step explanation:

Answer:

Well Ima put the link, hope it works!

jkjk

The answer here is 240 in^3

Step-by-step explanation:

Well You have a triangular prism which all you need is the base. The base cna be found by finding the area of the surface triangle.

Triangle area formula: 1/2(bh)

Well base is 4 height is 10, 4*10=40. 40/2= 20

Now the heighth given or (h) is 12. TO find the volume jsut multiply the height by the base

20*12=240

Plus don’t click the links, their viruses.

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

i beleve they would get an 80% sorry if im wrong

Answer:

the answer is 80%

Step-by-step explanation:

Think of it this way

There is 5 problems wrong out of 25 so    5/25  is the fraction   (right/ number of questions)    

5/25 can be simplified to 1/5     (divide by 5)

1/5  can be transformed to the percentage 20%

NOW BE CAREFUL  20% is what is WRONG so 100-20=80

so 80% is thus the answer

Enjoy :)

It will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute

Assuming that the filling rate of the hose is constant, we can use the formula:

time = volume / rate

where time is the time taken to fill the hot tub, volume is the volume of the hot tub (440 gallons), and rate is the filling rate of the hose (4.6 gallons per minute).

Substituting the values, we get:

time = 440 / 4.6

which simplifies to:

time = 95.65 minutes

To convert minutes to hours, we divide by 60 (since there are 60 minutes in an hour):

time = 95.65 / 60

which simplifies to:

time = 1.59 hours

Therefore, it will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute.

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It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.

To determine how many hours follow these steps:

First, we need to find out how many minutes it takes to fill the hot tub.

Divide the total volume of the hot tub (440 gallons) by the rate at which the hose fills (4.6 gallons per minute):

440 gallons ÷ 4.6 gallons/minute = 95.65 minutes

Now, we need to convert the minutes into hours.

Since there are 60 minutes in an hour, divide the minutes by 60:

95.65 minutes ÷ 60 minutes/hour = 1.594 hours

It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.

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In a coordinate system, a vector is oriented at an angle this statement is false.

In a coordinate system, vectors are typically represented by their components along the coordinate axis . These components determine the direction and magnitude of the vector. The orientation of a vector is determined by the angles it makes with the coordinate axis or by the direction cosines or direction angles that specify its direction in space.

The direction of a vector can be represented using angles, such as the azimuthal angle (horizontal angle) and inclination angle (vertical angle) in spherical coordinates or the angles of inclination from the positive x-axis and positive z-axis in cylindrical coordinates.

Therefore, it is incorrect to say that a vector is oriented at an angle in a coordinate system. The orientation of a vector is defined by its components or direction angles relative to the coordinate axis.

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True. In a coordinate system, a vector can be oriented at any angle with respect to the reference axis.

In a coordinate system, a vector can be oriented at any angle with respect to the reference axis. The angle at which a vector is oriented is measured with respect to a reference axis, usually the positive x-axis. This angle is typically measured in degrees or radians.

The orientation of a vector can be described using trigonometric functions such as sine, cosine, and tangent. These functions relate the angle of orientation to the coordinates of the vector in the coordinate system. For example, the x-coordinate of a vector can be determined using the cosine function, while the y-coordinate can be determined using the sine function.

The orientation of a vector can also be represented using direction angles. In two-dimensional space, the orientation of a vector can be described using a single angle. In three-dimensional space, the orientation of a vector can be described using direction angles, which are the angles between the vector and each of the coordinate axes.

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(1) The family has bought 6 tickets.

(2) The teacher has bought 28 tickets.

What is an expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

(1) To solve this problem, we need to set up the equation: cost = price * number of tickets. We are given the cost ($62.50) and the price ($10), and we want to solve for the number of tickets. Substituting these values into the equation and solving for the number of tickets gives:

number of tickets = cost / price

number of tickets = $62.50 / $10

number of tickets = 6.25

Since the number of tickets must be a whole number, the family bought 6 tickets.

(2) To solve this problem, we can use the same equation as before: cost = price * number of tickets. We are given the cost ($278.50) and the price ($10), and we want to solve for the number of tickets. Substituting these values into the equation and solving for the number of tickets gives:

number of tickets = cost / price

number of tickets = $278.50 / $10

number of tickets = 27.85

Since the number of tickets must be a whole number, the teacher bought 28 tickets.

Hence,

(1) The family has bought 6 tickets.

(2) The teacher has bought 28 tickets.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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There are approximately 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

Anna has 2 dozen Rollo bars, which is equivalent to 2 x 12 = 24 Rollo bars.

She also has 1 dozen apples, which is equivalent to 1 x 12 = 12 apples.

So, Anna has a total of 24 + 12 = 36 treats to hand out.

Now, she needs to hand out 1 treat to each of the 36 children who come to her door.

This can be thought of as selecting 1 treat from the total of 36 treats for each child, without replacement, as each child can only receive 1 treat.

The number of ways to do this is given by the concept of permutations, denoted by "nPr", which is calculated as;

nPr = n! / (n - r)!

where n is the total number of items (treats) to choose from, and r is the number of items (treats) to choose.

In this case, n = 36 (total number of treats) and r = 36 (number of children).

Plugging in the values, we get;

36P36 = 36! / (36 - 36)! = 36! / 0! = 36!

Since 0! (0 factorial) is equal to 1, we can simplify further:

36! / 1 = 36!

36! ≈ 3.72 x 10⁴¹

So, there are 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

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Answer:

width = 14 feet

Step-by-step explanation:

the 7 part of the ratio relates to the length of the garden , then

24.5 feet ÷ 7 = 3.5 feet ← value of one part of the ratio , so

width = 4 × 3.5 feet = 14 feet

Answer:

5

Step-by-step explanation:

This is because |-5| is equal to 5

Answer:

It is 5

Step-by-step explanation:

The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign

Answer: 1

Step-by-step explanation: 3z+6 you subtract 6 from each side which gives u 3z=3 then u divide so 3 divide by 3 is one or just z

Answer:

Step-by-step explanation:

Find 1% of $350:

Find 8% of $350:

Here are the steps

Lets do

\(\\ \tt\longmapsto 0.01(350)=3.50\)

Multiply with 8

\(\\ \tt\longmapsto 8(3.50)=24.00+4.00=28.00\$\)

Answer:

85,000 and 90,000

Step-by-step explanation:

If I were required to survey Fresno City College students regarding their employment status, I would use a stratified random sampling technique.

Stratified random sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the survey. In this case, the relevant characteristic is employment status. The population consists of all Fresno City College students, and the two strata are employed and unemployed students.

Once the population has been divided into strata, a random sample is taken from each stratum. The sample size for each stratum is proportional to the size of the stratum in the population. For example, if 60% of Fresno City College students are employed, then 60% of the sample should consist of employed students.

Using a stratified random sampling technique ensures that the sample is representative of the population and that each subgroup is represented in the sample. It also reduces sampling error and increases the precision of the estimates.

Step-by-step explanation:

yes

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

Answer:

110 degrees

Step-by-step explanation:

The measures of the two base angles of an isosceles triangle are the same so  180 - 2(35) = 110 which is the vertex angle.

A graph of this equation (y = 1/2(x) + 1) is shown in the image attached below.

A graph simply refers a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

In Mathematics, the graph of any proportional relationship such as a linear equation is modeled by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, we can logically deduce that the graph (see attachment) representing the given linear equation (y = 1/2(x) + 1) does not show a proportional relationship between the value of x and y.

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Answer:

x=2

sx = 2 - (2 x 0.04)

sx = 2 - 0.08

sx = 1.92

lx = 2 + (2 x 0.04)

lx = 2 + 0.08

lx = 2.08

Step-by-step explanation:

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12