what if the ice caps were melting even more rapidly and san francisco was losing about 2% of its land area per year as land and streets went under water. the city is only about 49 square miles in area

Answers

Answer 1

The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let y represent the land area of San Francisco after x years. Hence:

The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98

The equation becomes y = 49(0.98)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982


Related Questions

WILL GIVE BRAINLIEST.

Part A: The area of a square is (16x^2 + 24x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (4x^2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Part A: (4x+3) (4x+3)

Part B: 4 (x+y) (x-y)

(If this is not the answer you are looking for, sorry)

Step-by-step explanation:

Part A: (16x²+24x+9)

FOIL

(4x + 3) (4x +3) = 16x²+24x+9

(4x) (4x) = 16x²

(4x) (3) = 12x

(4x) (3) = 12x

12x + 12x = 24x

(3) (3) = 9

Part B: (4x²-4y²)

4 (x² - y²)

You have to factor it completely

4 (x + y) (x - y)

(Make sure to use FOIL to double check)

explain whether each equation is a linear equation.

Answers

Answer:

3. Not linear

4. Linear

Step-by-step explanation:

3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.

4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.

A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: Yes, all conditions for inference are met.

explain of how you got the answer for this work

Answers

Answer:

Mariah's investement is growing faster

Step-by-step explanation:

Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.

The slope of a line is given by the relation;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where m is the slope.

(x1,y1) is any point on the curve.

(x2,y2) is any other point on the curve.

Let's start of with Mariah by picking any 2 points from the table.

(0,150)

(1,159)

[tex]m(mar) = \frac{159 - 150}{1 - 0} = \frac{9}{1} = 9[/tex]

Let's move on to Mauricio's line and choose 2 points that lie on that line.

(0,190)

(1,195.7)

[tex]m(mau) = \frac{195.7 - 190}{1 - 0} = \frac{5.7}{1} = 5.7[/tex]

By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7

151/24 - 8.75
i dont know how to turn it into a decimal.

Answers

Answer:

-2.46

Step-by-step explanation:

151/24=6.29

6.29-8.75=-2.46

Answer:

-2.45833333333

Step-by-step explanation:

151 divided by 24= 6.29166666667

6.29166666667-8.75=-2.45833333333

2dp=2.46

Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.

Answers

Answer:

0, -6, -12, -18

Step-by-step explanation:

start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.

please give brainliest!!!!

Complete the table below: Show all your work.

Answers

Answer:

Step-by-step explanation:

(-2, 8)

(-1, 6)

(0, 4)

(1, 2)

(2,0)

to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.

A tree is broken at a height of 5 m from the ground and its top touches the ground at a

distance of 12 m from the base of the tree. Find the original height of the tree.

Answers: ​

Answers

Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation:

Convert 191% to a decimal.

Answers

Divide 191 by 100
The answer is 1.91

Answer:

1.91

Step-by-step explanation:

191% means [tex]\sf \frac{191}{100}[/tex]

So to write 191% as a decimal, simply divide it by 100.

To divide a number by 100, move the decimal point to the left by 2 places.

[tex]\sf \implies 191 \div 100=1.91[/tex]

A cupcake shop makes 25 dozen cupcakes in 2 days, how many cupcakes are made in 5 days at this rate
A 600
B 650
D 750
D 900

Answers

Answer:

D. 750

Step-by-step explanation:

if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750

Number 13. Multiply please.

Answers

[tex](x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2[/tex]

Hope that helps!

HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH

Answers

Answer:

1062

Step-by-step explanation: Find the area of each side then add it all up

-4x+y=1
2y-2=8x

How many solutions does this have?

a. no solution
b. one solution
c. infinitely many solutions

Answers

Answer:

c. infinotely msny solutions

Answer:

Step-by-step explanation:

y = 4x + 1

2y - 2 = 8x

2(4x + 1) - 2 = 8x

2x + 2 - 2 = 8x

2x + 0 = 8x

6x = 0

x = 0

y = 0 + 1

y = 1

(0, 1)

answer is b. one solution

Please help i am confused

Answers

Answer: (1)

Step-by-step explanation:

The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.

Please help! will give brainlest!

Answers

Answer:

a) 1

Step-by-step explanation:

Tan 5pi/4: 1

Tan (-5pi/4): -1

Tan 5pi/4 in degrees: tan (225°)

[tex]y+2=(x^2/2)-2sin(y)[/tex]

Answers

the assumption being that "y" is encapsulating a function in "x" terms.

[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]

can you please help me?

Answers

Answer:

102 dollars

Step-by-step explanation:

Write a slope intercept form that contains the points(3,4) and (-6,2)

Answers

Answer:

[tex]y=0x+2[/tex]

Step-by-step explanation:

Given the following question:

Point A = (3, 2) = (x1, y1)
Point B = (-6, 2) = (x2, y2)

To write the following points in slope intercept form we first need to calculate the slope by using the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{2-2}{-6-3} =\frac{0}{-9}[/tex]
[tex]0\div-9=0[/tex]
[tex]m=0[/tex]

Now that we have to slope, we can now write the points in slope intercept form by using the formula y = mx + b and solve for b.

[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=0[/tex]
[tex]x=3[/tex]
[tex]2=0(3)+b[/tex]
[tex]0\times3=0[/tex]
[tex]2=0+b[/tex]
[tex]2+0=2[/tex]
[tex]2=b[/tex]
[tex]b=2[/tex]
[tex]y=0x+2[/tex]

Your answer in slope intercept form is "y = 0x + 2."

Hope this helps.

Y=0x + 2 is the right answer

30 divided (3x5)divided 2 + 1?

Answers

Answer

2

Explain

3 x 5 = 15 so 30 divided by 15 equals 2. Now 2 divided by 2 equals 1. Now 1 + 1 = 2

Answer:

2

Step-by-step explanation:

30÷(3×5)÷2+1

30÷15÷2+1

2÷2+1

1+1

2

Hope dis helps

Which equation best models the data shown on the scatter-plot below?

Answers

The scatterplot is an illustration of a linear regression.

The equation that best models the scatter plot is y = 4x+ 35

How to determine the equation of the scatterplot?

The equation of a linear regression is represented as:

y = mx + b

Where:

m represents the slope

b represents the y-intercept

From the graph, we have the following points on the line of best fit (see attachment)

(x,y) = (10,75) and (20,105)

The equation is then calculated as:

[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]

This gives

[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]

Evaluate

[tex]y = 4(x -10) + 75[/tex]

Open the bracket

[tex]y = 4x -40 + 75[/tex]

Simplify

[tex]y = 4x+ 35[/tex]

Hence, the equation that best models the scatter plot is y = 4x+ 35

Read more about scatter plots at:

https://brainly.com/question/6592115

100 points!!! please help me with this math.

Answers

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

The expression x+x+x+x is equivalent to bx.
What’s the value of b

Answers

Answer:

4x

Step-by-step explanation:

X is incremented by 1

Answer:

Step-by-step explanation:

There is a 1 in front of the x. 1 is never written, but really the question looks like

1x +1x +1x +1x which when summed gives 4 x

b = 4

students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?

Answers

Answer:

26.8

Step-by-step explanation:

Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.

Total students that were divided into 4 classrooms :

33.5 × 4 = 134

So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.

134 ÷ 5 = 26.8

So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .

Hope this helped !

Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m

Answers

this queation is tricky give me a sec

Step-by-step explanation:

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)

Answers

Answer:

distance between moon and sun= y/sin x

Step-by-step explanation:

by use of trigonometric ratios SOHCAHTOA

dat stuff only works on right angled triangles so that is what gave it away

you will use

Sin x= y/distance between moon and Sun

distance between moon and sun= y/sin x

based on my the sketch in my mind hope am right

HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?

show your work below

Answers

Answer:

11.25 kg

Explanation:

1 bag of marbles → 45 grams

250 bags → (45 *250) = 11250 grams

Conversion:

1 kg ↔ 1000 grams

So,

11250 g → (11250/1000) kg = 11.25 kg

Answer:

11.25 kg

Step-by-step explanation:

One bag of marbles = 45 g

⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g

1000 g = 1 kg

⇒ 11250 g ÷ 1000 = 11.25 kg

Thank you to who ever answers this

Answers

Answer:

The answer is G.

Step-by-step explanation:

Trust me.

Answer:

J is the answer

Step-by-step explanation:

I had given the explanation but brainly deleted it for having a link.

Just use this:

"What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of 101010 boxes of raisins has these weights (in grams):

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Step 2: Find the median.

The median is the mean of the middle two numbers:

252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838

\dfrac{30+34}{2}=32

2

30+34

=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32

The median is 323232.

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

252525, 282828, \large{29}2929, 292929, 303030

Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29

The third quartile is the median of the data points to the right of the median.

343434, 353535, \large{35}3535, 373737, 383838

Q_3=35Q

3

=35Q, start subscript, 3, end subscript, equals, 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is 252525.

The max is the largest data point, which is 383838.

The five-number summary is 252525, 292929, 323232, 353535, 383838.

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from Q_1Q

1

Q, start subscript, 1, end subscript to Q_3Q

3

Q, start subscript, 3, end subscript with a vertical line through the median.

Recall that Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q

3

=35.Q, start subscript, 3, end subscript, equals, 35, point

Step 3: Draw a whisker from Q_1Q

1

Q, start subscript, 1, end subscript to the min and from Q_3Q

3

Q, start subscript, 3, end subscript to the max.

Recall that the min is 252525 and the max is 383838.

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise."

Help me please !!!!!!!

Answers

Answer:

25ft/s

Step-by-step explanation:

500ft/20s = 25ft/s

What is the measure of space inside a suitcase?

Answers

Answer:

Linear inches

Step-by-step explanation:

or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.

Answer:

These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.

Step-by-step explanation:Brainliest

Hint: There are 3 feet in 1 yard.....Math 100pts

Answers

Answer:

$0.22/foot

Step-by-step explanation:

Setting up the equation:

⇒ 6 yards of aluminum wire costs $3.96

⇒ 6 yards = $3.96

Simplifying the equation in cost/foot:

⇒ 6 yards = 6(3) feet = 18 feet = $3.96                                  (1 yard = 3 feet)

⇒ 18 feet = $3.96

1 foot = $3.96/18 = $0.22

Answer:

$0.22

Step-by-step explanation:

6 yards costs $3.96

Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:

⇒ 1 yard = $3.96 ÷ 6

              = $0.66

1 yard = 3 feet

Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:

⇒ Price per foot = $0.66 ÷ 3

                           = $0.22

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