Question 6: The function f(x) = x^2 is transformed to create the function
g(x) = (1/5)f(x). What statement is true comparing f(x) and g(x). *
1) g(x) opens upward and is narrower
2) g(x) opens downward and is narrower
3) g(x) opens upward and is wider
4) g(x) opens downward and is wider.

Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

Answer: 1

Step-by-step explanation: the lowest number they divide into evenly is 1

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

3x²y

Step-by-step explanation:

Answer:

3x²y

Step-by-step explanation:

2•3•x•x•x•y

2•2•3•x•x•y•y

3•5•x•x•x•y•y•y

common factor: 3•x•x•y

D is the midpoint of A and B, so it has coordinates

D ((0 +0)/2, (9 + 0)/2) = D (0, 9/2)

and E is the midpoint of B and C, so its coordinates are

E ((0 + 13)/2, (0 + 0)/2) = E (13/2, 0)

(a) The slope of the line through C and D is

(9/2 - 0)/(0 - 13) = -9/26

Then the equation of the line through C and D is

y - 0 = -9/26 (x - 13)

y = -9/26 x + 9/2

(b) I assume this part is asking about the coordinates of F as the intersection of AE and CD.

First find the equation of the line through A and E. It has slope

(9 - 0)/(0 - 13/2) = -18/13

so its equation is

y - 0 = -18/13 (x - 13/2)

y = -18/13 x + 9

Solve for the x-coordinate of F:

-9/26 x + 9/2 = -18/13 x + 9

(-9/26 + 18/13) x = 9 - 9/2

(36 - 9)/26 x = 9/2

27/26 x = 9/2

x = (9/2)/(27/26)

x = 13/3

Then use either line equation to solve for the y-coordinate:

y = -9/26 (13/3) + 9/2

y = -39/26 + 9/2

y = (117 - 39)/26

y = 78/26

y = 3

So F is the point (13/3, 3).

(c) Triangle ABC has height 9 and length 13, so its area is

1/2 • 9 • 13 = 117/2

(d) Triangle BCD has area

1/2 • 9/2 • 13 = 117/4

Triangle ECF has height 3 (the y-coordinate of F) and length 13 - 13/2 = 13/2 (the difference between the x-coordinate of C and E), so its area is

1/2 • 3 • 13/2 = 39/4

The area of BCD is the sum of the areas of quadrilateral DBEF and triangle ECF. So the area of DBEF is

117/4 - 39/4 = (117 - 39)/4 = 78/4 = 39/2

The number of boys with heights between 122 and 162 cm  is  499.

We first find  the z-scores for these heights using the formula:

z = (x - μ) / σ

where x =  height,

μ = mean height,

σ =  standard deviation.

case where x = 122 cm:

z = (122 - 148) / 12 = -2.1667

case where  x = 162 cm:

z = (162 - 148) / 12 = 1.1667

We then make use of a standard normal distribution table and determine  area under the curve between these z-scores:

Area under  z = -2.1667 and z = 1.1667 is 0.8315.

Hence, the number of boys with heights between 122 cm and 162 cm is:

600 * 0.8315 = 498.9 or 499 boys.

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#complete question

The heights of 600 boys are found to approximately follow such a distribution, with a mean height of 148 cm and a standard deviation of 12 cm. Find the number of boys with heights between: 122 cm and 162 cm

Given:

x + 2y = 7

x - y = 7

To solve this simultaneously, let's use elimination method.

Step 1:

Subtract equation 2 from equation 1:

Subtx + 2y = 7

- x - y = 7

_________

3y = 0

Step 2:

Divide both sides by 3:

(i’m using 3.14 as pi tell me if ur pi is different)

yellow: 28.26

blue: 18.84

green: 251.2

red: 15.7

purple: 21.98

formula: C = 2pi r | C = pi d

The probability that at least one out of 7 devices of this type will function for at least 44 months is 1 - 0.9779167, or 0.0220833.

The probability density function of X, the lifetime of a certain type of device, is given by \(f(x) = 0 if x < 21; 1/x^2 if x > 21.\)To find the probability that X > 48

To find the probability that at least one out of 7 devices of this type will function for at least 44 months

we can use the binomial distribution formula.

The probability is given by \(P(X ≥ 1) = 1 - P(X = 0)\). Using the cumulative distribution function.

The probability that X = 0 is given by \(1 - 1/44^2, or 0.9779167.\)

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Point slope form:

y-y1 = m (x-x1)

where;

m= slope = -3

(x1,y1) points of the line. (12,5)

Replacing:

y-5 = -3 (x-12)

If events A and B are independent with P(A) = 0.68 and P(A and B) = 0.544 then the value of P(B) is 0.8

We know that if events A and B are independent, then:

P(A and B) = P(A) × P(B)

We are given P(A) = 0.68 and P(A and B) = 0.544.

Substituting these values into the equation above, we get:

0.544 = 0.68 × P(B)

Solving for P(B), we get:

P(B) = 0.544 / 0.68 = 0.8

P(B) = 0.800

Hence, if events A and B are independent with P(A) = 0.68 and

P(A and B) = 0.544 then the value of P(B) is 0.8

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Answer:

Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):

2.6

Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.

In short: 2.6 rounded to the nearest whole number is 3.

Answer:

SA = 10,800 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 = 40

w = 60

h = 30

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

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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Have a GREAT day!!!

Answer:

16 I think

Step-by-step explanation:

Answer: The system of equations to determine the number of each item sold would be:

4x + 5y = 340 (where x is the number of cakes and y is the number of pies)

and

x + y = 75 (where x and y is number of cakes and pies)

This system of equations can be solved using methods such as substitution or elimination.

Step-by-step explanation:

Answer:

A scatter plot is a type of graph that shows pairs of data plotted as points. ... If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables. When there is a positive or negative relationship between your variables, you can draw a line of best fit.

-hope that helps! =)

Answer:

1)

Perimeter=24 inches

Area= around 43.46 inches

Step-by-step explanation:

1) Perimeter = 3in * number of sides

Perimeter = 3*8 = 24

Area= 2(1+ square root of 2) length of one side squared

=42.46

2)

Perimeter = 24

Area= 43.46 inches squared- 3inches

3)

Perimeter = 24

Area= 43.46- triangle area

triangle area = height x base /2

Height = 3, we can compare it.

Base = 3

Triangle = 9/2

Area = 43.46- 4.5

Area =38.96

Can't see 4 and 5 for some reason

6)

Perimeter =  30

Area = 61.94

Sorry if its incorrect, I am just 4th grade :(

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

(-13,-5)

Step-by-step explanation:

If you start at the black points and go 4 left and 2 down, you will be at the Red point (-13,-5)

Answer:

10

Step-by-step explanation:

The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.

Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

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Answer:

h

Step-by-step explanation:

Answer: H

Step-by-step explanation:

5 packs with 300 each. Each weigh 9.9x\(10^{-3}\)

multiply all the numbers

you get

=14850    x\(10^{-3}\)     the x\(10^{-3}\) means move decimal left 3 places.

=14.85 lbs

H

Answer:

Solution,

Total area=Area of ABCD+ Area of triangle ADE

\((ab \times bc) + \frac{1}{2} \times ad \times ef \\ = (5 \times 6) + \frac{1}{2} \times 6 \times 3 \\ = 30 + 9 \\ = 39 \: {units}^{2} \)

hope this helps...

Good luck on your assignment...

Answer:

is that all?

Step-by-step explanation:

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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