Mathematics College

Can you help me with this please?

Answers

Answer 1

The half-life of the given exponential function is of 346.57 years.

What is the half-life of an exponential function?

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

[tex]A(t) = A(0)e^{-0.002t}[/tex].

In which t is measured in years.

Hence the half-life is found as follows:

[tex]0.5A(0) = A(0)e^{-0.002t}[/tex]

[tex]e^{-0.002t} = 0.5[/tex]

[tex]\ln{e^{-0.002t}} = \ln{0.5}[/tex]

[tex]0.002t = -\ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.002}[/tex]

t = 346.57 years.

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Related Questions

What is 681x239 please help

Answers

681×239 = 162,759

..... ......

162,759 is answer

happy to help

Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+30
HALT is a
H
2T=

1. 30
2. 60
3. 90

Answers

Answer:

1. 30

Step-by-step explanation:

∠H + ∠T = 180

(2x+60)+(x+30)=180

3x+90=180

3x=90

x=30

Find the slope of the line passing through the points (-4, -9) and (5, -9).

Answers

The slope of the line passing through the points (-4, -9) and (5, -9) is 0

How to determine the slope?

The points are (-4, -9) and (5, -9).

The slope is calculated using:

Slope = (y2 - y1)/(x2 - x1)

So, we have:

Slope = (-9 + 9)/(5 + 4)

Evaluate

Slope = 0

Hence, the slope of the line passing through the points (-4, -9) and (5, -9) is 0

Answers

A range of 2 reveals that the smallest and largest data values are 2 units away from each other.

What does the range reveal?

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

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A card is drawn at random from a deck of cards. What is the probability that
a. it is a heart, given that it is red?
b. it is higher than a 10, given that it is a heart? (Interpret J, Q, K, A as 11, 12, 13, 14)
c. it is a jack, given that it is red?

Answers

Answer:

a. 13/26 = 1/2

b. 3/13

c. 2/26 = 1/13

Step-by-step explanation:

A. 26 red cards and 13 of them are hearts so 13/26 which can be simplified to 1/2

B. 13 hearts but only jack, queen king are higher than 10 so 3/13

C. 26 red cards altogether and we have a total of 2 red jacks so 2/26 which can be simplified to 1/13

is this what you wanted?

A sum of money is shared between Aaron and Betty in the ratio 2:5 Aaron received $60.How much money was shared altogether?

Answers

Answer:

The answer is $210.

Step-by-step explanation:

60/2 = 30. 30*5= 150. 150+60=210.

well, we know Aaron received $60, and we also know that Aaron and Betty are sharing the total on a 2:5 ratio, thus

[tex]\cfrac{Aaron}{Betty}~~ = ~~\cfrac{2}{5}\implies \cfrac{60}{Betty}~~ = ~~\cfrac{2}{5}\implies (60)(5)=(Betty)(2) \\\\\\ \cfrac{(60)(5)}{2}=Betty\implies 150=Betty~\hfill \underset{\textit{total money shared}}{\stackrel{60~~ + ~~150}{210}}[/tex]

Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not marked with any letter.

How many ways can the four people wear these four hats so each person is wearing a different hat, and no one is wearing a hat marked with the first letter of their name?

Answers

Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own

Step-by-step explanation:

When first hired, Deondre was earning $5.85 per hour. He has worked his way up in the business and is currently making $12.30 an hour. What is the absolute and relative change in Deondre's hourly pay from when he was first hired to now?

Answers

Answer:

$6.45/hour

110.26%

Step-by-step explanation:

The absolute change is the difference between salaries now ands then.

12.30 - 5.85 = 6.45

The relative change in the percent increase.

percent increase = (new number - old number)/(old number) × 100%

percent increase = (12.3 - 5.85)/(5.85) × 100%

percent increase = 110.26%

Read Solar Basics and answer the question. When solar energy is converted to thermal energy, how is the thermal energy used? Check all that apply.

Answers

Thermal energy can be used in the heating systems either at home or in the industries

However, when solar energy is converted to thermal energy, the radiant energy from the sunlight is converted into heat which can then be used as space and hot water heating, power generation and industrial process heat

What is energy?

Energy simply refers to the capacity of doing work. Some forms of energy are:

Solar energyNuclear energyElectrical energyThermal energyKinetic energyPotential energyMechanical energy

So therefore, thermal energy can be used in the heating systems either at home or in the industries.

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An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%. If the total chances of winning is 51%, what is the probability that he gets injured?

Answers

Answer:

X = 'is the athlete injured' (X in {0,1})

Y = 'the athlete wins' (Y in {0,1})

P(Y=1|X=0) = 0.75

P(Y=1|X=1) = 0.15

P(Y=1) = 0.51

We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)

The above equation should provide you with the answer 0.4!

Step-by-step explanation:

triangle mno is equilateral. find x and y.

Answers

Answer:

x = 7.5 and y = 75

==============

Given

Equilateral triangle MNO.

We know each interior angle of an equilateral triangle is 60°, since each of three angles are of same value.

180°/3 = 60°

We can see:

m∠MNO = 2x + 4x + 2x Sum of interior angles60 = 8x Substitute the value of ∠MNOx = 60/8 Solve for xx = 7.5

The middle triangle with two interior angles 4x and y has the missing angle also y, since it is isosceles, because both adjacent angles are equal at vertex N.

It gives us:

4x + y + y = 180 Sum of interior angles4*7.5 + 2y = 180 Substitute the value of x30 + 2y = 180 Solve for y2y = 150y = 75

First

Measure of any angle in an equilateral triangle is 60°

2x+4x+2x=60°8x=602x=15x=15/2x=7.5

And

4x=4(7.5)=30

Apply angle sum property

2y+30=1802y=150y=75

New topic really confused

Answers

The cost given shows that the amount left is £12.

How to illustrate the information?

From the information given, it was stated that the person saved £60 and spent £42 on coat and £6 on scarf

The amount that the person has left will be:

= £60 - £42 - £6

= £12

In conclusion, the person has £12 left.

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Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

–2
–1
1
2

Answers

The value for x that is a double root of this function is x = -1

How to determine the double root?

The function is given as:

f(x) = x^3 - 3x - 2

From the graph of the above function (see attachment), we have the following highlights:

The curve crosses the x-axis at x = 2The curve touches the x-axis at x = -1

The point that it touches the x-axis is the double root point

Hence, the value for x that is a double root of this function is x = -1

Answers

Step-by-step explanation:

try this option, answer is marked with red colour.

Suppose the mean of a normally distributed population is 300,and 200 simple random samples are drawn from the population.At a 68% confidence level(one standard divination from the mean) about how many of the samples confidence intervals would you expect to contain population mean?

A)64
B)96
C)136
D)204

Answers

samples confidence intervals needed is Option C 136.

How to estimate the number of sample confidence intervals?

According to the Empirical rule, if data exists normally distributed then about 68% of the population lies within one standard deviation from the mean.

We assume that the mean of a normally distributed population exists at 300, and 200 simple random samples exist drawn from the population.

Number of simple random samples, n= 200

By Empirical rule, approximately 68% of 200 samples’ confidence intervals we would expect to have the population mean.

Required number of samples = 68% of 200

= 0.68 x 200 = 136

The required number of samples = 136

Therefore, the correct answer is option C) 136.

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Marina has a pattern to make bows that requires 1/4 yard of ribbon for each bow. Part A: Fill in the table to show how many bows she can make from a given length of ribbon.

Answers

the table complete is:

x y

1 4

2 8

3 12

4 16

Where x is the ribbon length in yards and y is the number of bows she can make.

How to complete the table?

We know that Marina needs 1/4 yards of ribbon for each bow.

Then, with one yard of ribbon, she can make 4 bows, then the relation between y, the number of bows she can make, and x, the yards of ribbon that she has, is:

y = 4*x

Now we want to complete the table:

x y

To do so, we just need to evaluate the above function.

when x = 1.

y = 4*1 = 4

When x = 2:

y = 4*2 = 8

when x = 3

y = 4*3 = 12

when x = 4

y = 4*4 = 16

Then the table complete is:

x y

1 4

2 8

3 12

4 16

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John goes for a jog every third day and every Saturday he goes to the gym. If he goes to the gym and also runs today, how long will it take before there is another day on which he does both?

Answers

3 weeks, or 21 days because the least common multiple of 7 and 3 is 21

It will take 21 days before there is another day on which he does both.

What is lowest common multiple (LCM) ?

The lowest common multiple (LCM) of two or more numbers is the lowest possible number which is completely divisible by all the given numbers.

Given,

John goes for a jog every third day and every Saturday he goes to the gym.

That means he goes to the gym on every seventh day, and goes for a jog every third day.

Therefore, he goes for both on the days which are LCM of 3 and 7.

But, LCM of 3 and 7 is 21.

Hence, he goes for both in every 21 days.

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50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Answers

Answer:

(b) 27°

( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent

(b)

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

(180° -6x) +90° +(180° -4x) = 180°

270° = 10x . . . . . . . . . add 10x and simplify

27° = x

(c)

The vertical angles at S are congruent. This tells us ...

3x +∠PSQ = 4x

∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

x +x +(180° -68°) = 180°

2x = 68° . . . . . . . . add 60°-180°

x = 34° . . . . . . . . . divide by 2

( )

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

2x +2x +72° = 180°

4x = 108° . . . . . . subtract 72°

x = 27° . . . . . . . . divide by 4

simplify. ((x/4)+(x/3))/(x/2)

Answers

Answer:

x/6

You're welcome! :)

Answer : 7/6

explanation is long

Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Answers

Step-by-step explanation:

x is the number

x = 3y + 2

the square

x² = (3y + 2)² = 9y² + 12y + 4

9y² is a multiple of 3 (because of the factor 9)

12y is a multiple of 3 (because of the factor 12)

4 is 1 more than a multiple of 3 (1×3).

so, the sum of all 3 terms is 1 more than a multiple of 3.

39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°

Answers

Answer:

x = 12

Step-by-step explanation:

6x - 4 and 112 are same- side interior angles and sum to 180° , that is

6x - 4 + 112 = 180

6x + 108 = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Answer:

x = 12

Step-by-step explanation:

Consecutive Interior Angles Theorem

When a straight line intersects two parallel straight lines, the consecutive interior angles formed are are supplementary (sum to 180°).

Therefore:

⇒ 6x - 4 + 112 = 180

⇒ 6x + 108 = 180

⇒ 6x + 108 - 108 = 180 - 108

⇒ 6x = 72

⇒ 6x ÷ 6 = 72 ÷ 6

⇒ x = 12

Heights of men on a baseball team have a bell-shaped distribution with a mean of 176cm and a standard deviation of 5cm .Using the empirical rule,what is the approximate percentage of men between the following values?

% of the men are between 165cm and 186cm

Answers

95% men are between 165 cm and 186 cm.

What is the empirical rule?

The empirical rule is also referred to as the Three Sigma Rule or the 68-95-99.7 Rule.

z-score = (raw-score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean,

so, 95% men are between 165 cm and 186 cm.

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95% of men are between 165 cm and 186 cm.

What is the approximate percentage of men between the following values?

Given:

The heights of men on a baseball team have a bell-shaped distribution a mean of 176cm and a standard deviation of 5cm.

Find:

What is the approximate percentage of men between the following values?

Solution:

The empirical rule is also referred to as the three sigma rule or the 68-95-99.7

Rule:

z - score = (raw - score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean.

So, 95% of men are between 165 cm and 186 cm.

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A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size box that has a volume that is 1 1/0 of the volume of the regular-size box.

What is the volume of the individual-size box of cereal?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

What is the volume of a rectangular prism?

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

l = 3(1/2) = 3 + 0.5 = 3.5 inches.w = 8(1/2) = 8 + 0.5 = 8.5 inches.h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

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Which statement describes the graph of y + 2 ≥ –4(x – 3)2? a parabola opening up, with shading above the vertex a parabola opening up, with shading below the vertex a parabola opening down, with shading above the vertex a parabola opening down, with shading below the vertex

Answers

Option C. The statement that describes the graph of the equation y + 2 ≥ –4(x – 3)2 is a a parabola opening down, with shading above the vertex.

How to describe the shape of the parabola.

To do this you have to create a graph of the equation as seen in the attachment.

From the attachment we can see that the parabola is shaped downwards while we have the shading to be at the top of the vertex.

Answers

The net that represents a cube is (b) net b

How to determine the net?

A cube has 6 faces

This means that the net must have 6 faces

For a net to represent a cube, there must be four adjacent faces

And 2 two adjacent faces

Where

One of the two adjacent faces is at the end of the fourth faceThe other is at the 3rd positionBoth 2 faces do not face the same direction

The net that represents the above scenario is net (b)

Hence, the net that represents a cube is (b) net b

Answers

If the company sells 0 computers, they will not make a profit. They will lose $10780

How to interpret the slope?

The function is given as:

P = 490n - 10780

A linear equation is represented as:

P = mn + c

Where

m represents the slope

By comparison, we have:

m = 490

This means that the slope is 490

Hence, the interpretation is

Slope; 490

The company earns $490 per computer sold

How to interpret the vertical intercept?

The function is given as:

P = 490n - 10780

A linear equation is represented as:

P = mn + c

Where

c represents the vertical intercept

By comparison, we have:

c = -10780

This means that the vertical intercept is -10780

Hence, the interpretation is

Vertical intercept; -10780

If the company sells 0 computers, they will not make a profit. They will lose $10780

How to interpret the horizontal intercept?

The function is given as:

P = 490n - 10780

A linear equation is represented as:

P = mn + c

Where

-c/m represents the horizontal intercept

By comparison, we have:

-c/m = 10780/490

-c/m = 22

This means that the horizontal intercept is 22

Hence, the interpretation is

Horizontal intercept; 22

If the company sells 22 computers, they will break even. They will earn $0

How to evaluate P when n = 46

We have:

P = 490n - 10780

This gives

P = 490* 46 - 10780

P = 11760

If the company sells 46 computers, they will earn $11760

How to evaluate n when P = 15190

We have:

P = 490n - 10780

This gives

15190 = 490n - 10780

490n = 15190+10780

490n = 25970

n = 53

The company will earn $15190, if they sell 53 computers

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- Save & Exit Practice Lesson: 8.5 Applications: Interest and Mixt...
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Lydia has money in two savings accounts. One rate is 6% and the other is 12 %. If she has $500 more in the 12 % account and the total interest is $375, how much is
invested in each savings account?
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at 6%
at 12%
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Answer:

16y1yg1gyyq717177171716161yggqg1g2y2gqgq62g2gtqy2g

1jwjqhwhwjmnbhokmbhiknb

please help!!!!!!nnnn

Answers

Similar: yes

Similarity statement: [tex]ADCB \sim SVUT[/tex]

Scale factor: 1/3

Simplify the following

Answers

= 4×8 +2×3 -1+9

___________

= 8+6-9

_______

= 14 - 9

_______

= 5

____

50 points will give brainliest

Answers

The x-coordinates of the vertices of the hyperbola are 11 and -11

How to determine the x-coordinates?

The hyperbola is given as:

[tex]\frac{x^2}{121} - \frac{y^2}{49} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Where the coordinate of the vertex is:

Vertex = (±a, 0)

By comparing the above equations, we have:

[tex]a^2= 121[/tex]

Take the square of both sides

a = 11

Substitute 11 for a in Vertex = (±a, 0)

Vertex = (±11, 0)

Hence, the x-coordinates of the vertices of the hyperbola are 11 and -11