After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time, t in seconds, and the number of bacteria, Bsecond(t) in the petri dish is modeled by the following function:

Answer: is D

Step-by-step explanation:

Answer:

Just look at the other answer

Step-by-step explanation:

No, because one x-value corresponds to two different y-values.

The table of value is given as:

x  2   2  3  4   5

y  1   4   4   2   5

From the above table, we have:

When x = 2, y = 1 and 4

This means that 1 value of x points to multiple values of y

The above means that the table does not represent a function

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It takes Preston 14 hours to repair the broken pipes.

Given Information

Cost of service call charged by Preston, the plumber, S = $50

Preston charges $5/hour.

Preston's charge per hour, P = $5

The total bill, B = $120

We have to calculate the number of hours Preston take to repair the broken pipes.

Calculating the Number of Hours

Total service charge of Preston = Total bill - Service Call Charge

= B - S

∴ Number of hours Preston took to mend the broken pipe is given by,

H = (B - S)/P

H = $(120 - 50)/$5

H = 70/5

H = 14 hours

Therefore, Preston took 14 hours to repair the pipes.

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In order to be labeled overweight the weight of box should be of 34.15 ounces.

Given mean of 33 ounces, standard deviation=0.7 ounces. Production of packets of 32 ounces.

Because it is normally distributed samples are solved using the z score formula.

In this Z=X-meu/st

meu is sample mean and st is population standard deviation.

We have to find the z score and then p value from the z table.

meu =33 and st=0.7

Top 5% so X when Z has a p value of 1-0.05=0.95. So X when Z=1.645.

Z=(X-meu)/st

1.645=(X-33)/0.7

X-33=0.7*1.645

X-33=1.1515

X=1.1515+33

X=34.1515 ounces.

Hence to be labeled overweight the box must have 34.15 ounces weight.

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Answer:

3 months

Step-by-step explanation:

Let x be the number of months CDs are added at Tom and Nita's respective rates of 1 and 5 CDs/month.

Tom's collection after x months is = 30 + 1x

Nita's collection after x months is  = 18 + 5x

At some point they will have equal numbers of CD's, so set the equations equal to each other:

30 + 1x = 18 + 5x

4x = 12

x = 3 months

At 3 months both Tom and Nita will have the same number of CDs.

Tom:  30 + 1*3 = 33 CDs

Nita:  18 + 5*3 = 33 CDs

x = 3

We can create a system of equations to represent the situation we have been given.

Creating the Equations

In this system, we can create an equation to represent both people's collections.

First, we can create Nita's.

All of this creates the equation: 5x + 18 = y.

Next, we can do the same to find Tom's equation.

This creates the second equation: 1x + 30 = y.

The system is:

5x + 18 = y

1x + 30 = y

Solving the System of Equations

One method to solve a system of equations is substitution. Substitution is when you substitute an expression for a variable. Since both expressions are set equal to y, we can substitute the expressions for y and set them equal to each other.

This creates the new equation: 5x + 18 = 1x + 30. Then, solve normally.

4x + 18 = 30

4x = 12

x = 3

This means after 3 months the number CDs will be equal.

Answer:

165.0

30 plus 50 plus the 85 equals 165

The magnitude of the resultant force acting on the box is 126.4 pounds.

Hence the correct answer is C.

Given that Kiera pulls at an angle of 30below the horizontal and with a force of 80 pounds Nathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds.

We need to determine the magnitude of the resultant force acting on the box.

To find the magnitude of the resultant force acting on the box, we can use the law of cosines.

The law of cosines states that for any triangle with sides of lengths a, b, and c, and an angle θ opposite to side c, the following equation holds:

c² = a² + b² - 2ab × cos(θ)

In this case, we have a triangle formed by the two forces exerted by Keira and Nathan, and we want to find the magnitude of the resultant force, which corresponds to side c.

Let's assign the following values:

a = 80 pounds (force exerted by Keira)

b = 85 pounds (force exerted by Nathan)

θ = 180° - 30° - 50° (angle opposite to the resultant force)

θ = 100°

Now we can plug these values into the law of cosines equation:

[tex]F = \sqrt{80^2 + 85^2 -2\times 80 \times 85\times \cos100}[/tex]

Solving we get,

F = 126.4

Hence the magnitude of the resultant force acting on the box is 126.4 pounds.

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Answer:

It would be B the distance from the ground to the kite :)

Step-by-step explanation:

The graph shows this situation best out of the other 3 choices!

Have an amazing day!!

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Using trigonometric relations, we will see that:

sin(θ ) = -0.8

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

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Answer:

12.5 m

Step-by-step explanation:

1st drop 50 m

2nd drop 50/2 = 25 m

3rd drop 25/2 = 12.5 m

Answer:

See below.  To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

Step-by-step explanation:

To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action.  One example would be the design of a roller coaster.  The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics.  F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom.  A change in the car's direction will also produce forces that may be calculated,  One might ask "Will this turn produce more force than the seat belt can safely handle?"  Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces.  You'll have a much better chance of keeping your friend intact on the actual coaster.  Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy.  The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item.  This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.

Answer:

There are two cases when the solution set of an inequality will be the empty set or the set of all real numbers.

The first case is when the inequality is always false no matter what value is chosen for the variable. For example, the inequality x > 5 has no solution because there is no value of x that is greater than 5. In this case, the solution set is the empty set.

The second case is when the inequality is always true no matter what value is chosen for the variable. For example, the inequality x > -∞ has infinitely many solutions because there is no value of x that is not greater than -∞. In this case, the solution set is the set of all real numbers.

Step-by-step explanation:

Answer:

33.55°

Step-by-step explanation:

let alpha be X

sin x= √11/6

sin x= 0.5527

x= sin-1 0.5527

x= 33.55°

Answer:

Step-by-step explanation:

x + 7 = -9

Subtract 7 from both sides

x + 7 - 7 = -9 - 7

Simplify

x = -16

Answer:

x=-16

Step-by-step explanation:

x+7=-9

x=-9-7

x=-16

[tex] \frac{5}{7} \: - \: \frac{3}{2} [/tex]

[tex] \frac{10 \: - \: 21}{14} [/tex]

[tex] \boxed{ \bold{- \frac{11}{14} }}[/tex]

[tex]\boldsymbol{\sf{\dfrac{5}{7}-\dfrac{3}{2} }}[/tex]

The least common multiple of 7 and 2 is 14. Convert 5/7 and 3/2 to fractions with like denominators.

[tex]\boldsymbol{\sf{ \dfrac{5\times2}{7\times2}-\dfrac{3\times7}{2\times7} \ \ \to \ \ \ Simplify }}[/tex]

[tex]\boldsymbol{\sf{\dfrac{10}{14}-\dfrac{21}{14} }}[/tex]

Since 10/14 and 21/14 have the same denominator, subtract their numerators to subtract them.

[tex]\boldsymbol{\sf{\dfrac{10-21}{14} \ \ \to \ \ \ Subtract}}[/tex]

Subtract 21 from 10 to get −11.

[tex]\red{\boxed{\boldsymbol{\sf{-\frac{11}{14} }}}} \ \ \to \ \ \boldsymbol{\sf{Answer}}[/tex]

Answer: [tex][-3,7][/tex]

Step-by-step explanation:

The range of a function is the set of y-values

Answer:

You didn't finish the whole question.

Step-by-step explanation:

We have to calculate mean of the data.

Mean is the sum of numbers divided by total numbers included.

Mean=∑X/n

where n is the number.

Mean =(10+15+10)/3

=35/3

=11.67

in mathematics, a quantity that has a value intermediate between those of the extreme members of some set. numerous types of manner exist, and the method of calculating an average depends upon the relationship known or assumed to control the alternative members.

The mean, or average, is calculated by adding up the scores and dividing the whole by the number of scores. consider the following number set: 3, 4, 6, 6, 8, 9, 11. The mean is calculated in the following way: 3 + 4 + 6 + 6 + 8 + 9 + 15 = 51

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Answer:

$0.64

Step-by-step explanation:

Cost for 8 gallons of gas

Credit Card at $3.77/gal

Cash at $(3.77 - 0.08)/gal:  $3.69/gal

(8 gal)*($3.77/gal) =  $30.16

(8 gal)*($3.69/gal) =  $29.52

Savings is $0.64

simplify the radical by breaking the radicand up into a product of known factors,assuming positive real numbers.
Sorrry i cant write answer is that form but
the answer is 8 then square root of 5x rais to power 2 then write y raise to power3.

Answer:

A cylinder,

91.9 ft^3 to nearest tenth.

Step-by-step explanation:

That would be a cylinder,

Volume of the given tree trunk

= π r^2 h

= π  * 1.5^2 * 13

= 91.89 ft^3.

Answer:

The square root of 78 is: 8.8317608663278468547640427269593.

This number is closer to the number 9.

Step-by-step explanation:

Use calculator to find square root. Then round it up.

Hope this helps!

If not, I am sorry.

-208

Explanation:

If the complete expression is a³ – 6³

then a³ – 6³ with a being equal to 2 is

(2)³ – (6)³ =

(2 × 2 × 2) – (6 × 6 × 6)

=

(4 × 2) – (36 × 6)

=

(8) – (216)

=

-208

This is done with substitution, just do the arithmetic with 2 in the place of a.

Answer: 7

Step-by-step explanation:

Substitute the given values of a and b into the expression:

(a)3 - (b)3 = (2)3- (3)3

     5                 5

Then evaluate the expression using the order of operations:

8- (-27) = 35/5

    5    

              = 7

Answer:

The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.

Step-by-step explanation:

The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.

We have,

The parallel line to a linear function that passes through a point can be explained using the examples below.

Example:

Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).

Step 1: Given linear function and point

Linear function: y = 3x - 2

Point: (2, 5)

Step 2: Determine the slope of the given linear function

The slope (m) of the given function y = 3x - 2 is 3.

Step 3: Use the slope to find the equation of the parallel line

Since the parallel line has the same slope (3), its equation will be

y = 3x + b, where "b" is the y-intercept that we need to find.

Step 4: Substitute the coordinates of the given point into the equation of the parallel line

Using the coordinates (2, 5) of the given point, we can solve for "b":

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

b = -1

So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:

y = 3x - 1.

Thus,

The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.

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On average the more goals will a player scores for every additional hour of practice is 3/4.

Given a regression line for the data in the scatterplot which is shown in figure.

This question can be solved by finding the slope of the line.

Slope is the ratio of vertical change to horizontal change between two points on the line.

Here, we can find the slope by taking the two points which is on the line.

Let us take the two points be A(1.5,2) and B(6.5,6)

Now, we will find the slope using the formula, we get

m=(y₂-y₁)/(x₂-x₁) where (x₁,y₁)=(1.5,2) and (x₂,y₂)=(6.5,6)

Substitute the values in the formula, we get

m=(6-2)/(6.5-1.5)

m=4/5

The slope which we find is near to the slope 3/4.

Hence, the more goals will a player score for every additional hour of practice from the regression line is 3/4.

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The transformation is translation

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The figure is attached below:

As per the definition the figure shows that size hasn't changed.

Hence, the transformation is translation.

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Work Shown:

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(27)}{14}=\frac{\sin(82)}{c}\\\\c\sin(27) = 14\sin(82)\\\\c=\frac{14\sin(82)}{\sin(27)}\\\\c\approx 30.5375398\\\\c\approx \boldsymbol{30.5}\\\\[/tex]

I used the law of sines. Make sure your calculator is in degree mode.

The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.

Answer:

A

Step-by-step explanation:

Pangaea is the name for the land mass before the continents split. The continents would have been connected during that species life time.

Answer + Step-by-step explanation:

p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)

Because ,when X = 2 or X = 1  the largest number is not 3 so we have to subtract those values .

……………………………………………………………

the probability that X is equal to 1 or 2 or 3 is :

[tex](\frac{3}{6} )^4 = \frac{81}{1296}[/tex]

Then

[tex]p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}[/tex]

Verification:

1+15+65+175+369+671 = 1 296

if 1bag is 56.00

x bags= 1344.00

solution

[tex] \frac{1344.00}{56.00} = 24[/tex]

the trader bought 24 50kg bags of rice

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