the population of a city with 750,000 people is devastated by a unknown virus that kills 20% of the population per day. How many people are left after 1 week

Answer:

3

Step-by-step explanation:

M and O are similar but not congurent is

Answer:

The right one would be D

Step-by-step explanation:

A population has SS = 100 and σ2 = 4. What is the value of sum E (X-µ) for the population is A) 0.

Based on the information provided, we are given that a population has SS (sum of squared deviations) = 100 and σ² (population variance) = 4. We are asked to find the value of the sum of E(X-µ) for the population, where E is the expectation operator, X is the random variable representing individual values, and µ is the population mean.

The sum of E(X-µ) for a population is always equal to 0. This is due to the fact that the deviations from the mean, both positive and negative, will cancel each other out when summed up. In mathematical terms:

Σ(X-µ) = 0

This is a fundamental property of the population mean, as it represents the "center" of the distribution of values.

It's worth noting that the given values for SS and σ² aren't directly related to solving this particular question, as they provide information about the dispersion of the data rather than the sum of the deviations from the mean. However, these values can be useful when analyzing other aspects of the population, such as calculating the standard deviation (σ = √σ²). Therefore, the correct option is A.

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Answer:

Cross multiply

Step-by-step explanation:

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

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Answer:

we know that,

y-y1=m(x-x1)

or, y-1=-3(x-5)

or, y-1=15-3x

or 3x+y-16=0 is the required equation

The graph of the line with slope -3 passing through the point (5,1) is attached.

The equation of the line in the slope-intercept form is y = -3x + 16.

The equation of the line in the standard form is 3x + y = 16.

The equation of a line is the representation of a line on a coordinate plane (x-y plane), which shows the relation between x and y, for every point on the particular line.

The standard form of a line is ax + by = c, where x and y are variables and a, b, and c are constants.

The slope-intercept form of a line is y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept of the line.

The equation of a line passing through the point (x₁, y₁), having a slope m, is represented by the one-point formula: y - y₁ = m(x - x₁).

We are asked to graph a line with a slope = -3, passing through the point (5, 1).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (5, 1).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

y - 1 = -3(x - 5)

or, y = -3x + 15 + 1

or, y = -3x + 16.

or, 3x + y = 16

The equation of the line in the slope-intercept form is y = -3x + 16.

The equation of the line in the standard form is 3x + y = 16.

To graph this line we plot the points (5, 1) (as it is given that it passes through this point) and (0, 16) (as the y-intercept is at 16, so the line passes through the point (0, 16)). We join these points by a line and extend this line on both sides to get the required line.

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The approximate year at which two revenues were equal is; 7.5 years

From the graph attached, we see that in the year 10, the revenue for printed ads was 2 million dollars & 3 million dollars for printed ads and online ads revenue respectively.

Thus, printed ad. Revenue line equation is;

(y - 2) = (3 - 2)(x - 10)/(0 - 10)

y - 2 = (x - 10)/-10

x - 10 = -10(y - 2)

x - 10 = -10y + 20

x - 10 = -10y + 20

x  + 10y = 30   -----(1)

At x = 12 years from the graph, we have;

12 + 10y = 30

10y = 18

y = 1.8

Thus, online ad. Revenue line equation is;

(y - 0) = ((3 - 0)/(10 - 0))(x - 0)

y = 3x/10

10y = 3x

10y - 3x = 0 -----(2)

At x = 12, we have;

10y = 3*12

10y = 36

y = 3.6

In year '12' the online ad revenue got doubled as that of printed ad revenue and afterward more than doubled.

B) The approximate year at which two revenues were equal is gotten by solving equation 1 and 2 simultaneously to get;

x = 7.5

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Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

\(d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore\)

Answer:

x = 3

Step-by-step explanation:

3x - 12 = -3

3x = 9

x = 3

Answer:

3(x-4)=-3

3x-12 =-3

3x= -3+12

3x= 9

x=9÷3

x= 3

Answer:

y = 2x + 2

Step-by-step explanation:

Add two to both sides.

The hunter wants Sylvia to tell him where the heron is, but she​ is conflicted and does not reveal the heron's location.

This is because, from the complete text, the narration is told about the interaction between Sylvia and the hunter who she certainly likes and he offers her money to tell him the location of the heron, but when she sees the heron and enters its world, she is conflicted and does not reveal its location.

This refers to the storytelling done with the aid of a narrator to describe the events in a story, the plot, settings, and conflicts in the story.

He can tell the story from the first-person narrative, second-person narrative, limited third-person narrative, omniscient narrative, etc.

He is regarded as the "eyes and the ears" of the story.

Hence, we can see that the hunter wants Sylvia to tell him where the heron is, but she​ is conflicted and does not reveal the heron's location.

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The answer choices are:

A. is conflicted and does not reveal the heron's location.

B. is conflicted, but tells the heron's location

C. is conflicted, and tells her grandmother

D. is conflicted, and runs away

Answer:

but she will not tell him.

Hope this helps!

Step-by-step explanation:

I got it right in a test.

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Line SY bisects angle PSR. To prove that line SY bisects angle PSR, we can use the property that an angle inscribed in a circle is half the measure of the intercepted arc. Here's the proof:

Since XY is a diameter, it subtends a 180-degree angle at any point on the circle. Therefore, angle QXY measures 180 degrees.

Angle PQY is an inscribed angle, and its measure is half the intercepted arc PQ. Similarly, angle YSR measures half the intercepted arc SR.

Since angle QXY is 180 degrees and angle PQY and angle YSR are half of their respective intercepted arcs, the sum of angles PQY and YSR must be 180 degrees.

Therefore, angle PQY and angle YSR are equal, and since angle PQY is congruent to angle PQS (as QX bisects angle PQR), it follows that angle YSR is congruent to angle PSR.

Hence, we have proved that line SY bisects angle PSR.

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First, let find the first five terms using the recursive formula:

Then:

Now,

a1 = 2

For a2 :

a2= 4

For a3:

a3 = 8

For a4:

a4 = 16

For a5:

a5 = 32

Therefore, the five first terms are 2,4,8,16,32.

Now, the common ratio is 2.

The explicit formula hast the next form:

where d is the common ratio.

Replace using a1=2 and d=2

Therefore, the explicit formula is given by:

The price of the car after 6.5 years is $23,142.4

Given the formula of a car depreciating given as:

\(V = 32000(2.71)^{-0.05x\) where:

We need to find the value of the car when it is 6.5 years old.

Substitute x = 6.5 into the expression will give:

\(V = 32000(2.71)^{-0.05x}\\V = 32000(2.71)^{-0.05(5.6)}\\V = 32000(2.71)^{-0.325}\\V=32000(0.7232)\\V =23,142.4\)

Hence the price of the car after 6.5 years is $23,142.4

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Answer:

40 pill bottles

Step-by-step explanation:

pill bottle : ounce of vitamin

1 : 0.033

x : 1.32

\(\frac{1.32}{0.033} *1\) = 40

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

Therefore, the answer is 94 degrees in the quadrant II

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

4 \(\sqrt{17}\)

Step-by-step explanation:

\(16^{2}\) + \(4^{2}\) = \(c^{2}\)

256 + 16 = \(c^{2}\)

\(\sqrt{272}\) = c

\(\sqrt{16} \sqrt{17} = c\)

4 \(\sqrt{17}\) = c

Answer:

A. g(x) = (2x)²

Step-by-step explanation:

From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched  horizontally by 2 (√4), i.e

This means that g(x) = 4x² = (2x)²

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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To create a clean and minimalist look for a line graph, it is generally recommended to remove the gridlines, tick marks, and possibly the axis titles. These elements can clutter the graph and distract from the main focus, which is the data itself.

The primary objective of a line graph is to visually represent the data in a clear and concise manner. To achieve a clean look, it is often beneficial to remove unnecessary elements that do not contribute directly to the understanding of the data.

Gridlines, while they can assist in reading values, can create visual noise and make the graph appear cluttered. Removing gridlines allows the data points to stand out more prominently. Similarly, tick marks along the axes can be reduced or eliminated to minimize distractions and focus attention on the plotted data.

Axis titles, though important for providing context, may sometimes be redundant or self-explanatory based on the nature of the graph or if the data is accompanied by clear labels. If the graph is already labeled adequately, removing the axis titles can help create a cleaner and less cluttered appearance.

It's important to consider the specific context and intended audience of the graph. Adjustments should be made in a way that maintains clarity and readability while achieving a clean and visually appealing design.

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Answer:

a) Range = 7.7

b) Standard deviation = 2.78

Step-by-step explanation:

Find (a) the range and (b) the standard deviation of the data set 8.2, 10.1, 2.6, 4.8, 2.4,5.6, 7.0,3.3 Round to the nearest hundredth if necessary

We are rearrange the given data:

2.4, 2.6, 3.3, 4.8, 5.6, 7.0, 8.2, 10.1

a) Range

This is calculated as: Highest value - Lowest value

Highest value = 10.1

Lowest value = 2.4

Range = 10.1 - 2.4

= 7.7

b) Standard deviation

Step 1

We find the mean

= Sum of values/ Number of value

= 2.4 + 2.6+ 3.3+ 4.8+ 5.6+7.0+8.2+10.1/8

= 44/8

= 5.5

The formula for standard deviation

= √(x - mean)²/n - 1

= √((2.4 - 5.5)² +( 2.6 - 5.5)²+ (3.3 - 5.5)²+ (4.8-5.5)²+ (5.6 - 5.5)²+(7.0-5.5)² +(8.2 - 5.5)² +(10.1-5.5)2)/8 - 1

= √54.06/7

= √7.722857143

= 2.779002904

approximately = 2.78

Answer:

Eso es loca

Step-by-step explanation:

brainliest please??

Answer:

OK

Step-by-step explanation:

Using sine rule formula to resolve the value for angle D

The sine rule formula is,

Given:

Therefore,

Simplify

Hence, the answer is

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

It will take 2 days for Anna and Wilson's accounts to contain the same amount of money. The two accounts will be the same when the amount of money Anna and Wilson have in their accounts is equal.

Let's represent the number of days it takes for this to happen as "d".

Anna's account is starting at $70 and adding $5 per day, so the amount of money she has after "d" days can be represented as:

70 + 5d

Wilson's account is starting at $60 and adding $10 per day, so the amount of money he has after "d" days can be represented as:

60 + 10d

To find when the two accounts will contain the same amount of money, we can set the two algebraic expressions equal to each other and solve for "d":

70 + 5d = 60 + 10d

Subtracting 60 from both sides, we get:

10 + 5d = 10d

Subtracting 5d from both sides, we get:

10 = 5d

Dividing both sides by 5, we get:

d = 2

Therefore, it will take 2 days for Anna and Wilson's accounts to contain the same amount of money. After 2 days, Anna will have $80 ($70 + 2*$5) and Wilson will have $80 ($60 + 2*$10).

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