Nikita has to get eye surgery that will cost $915. She can’t afford that right now so the eye center says she can pay $75 now and then $40 per month. How much has Nikita paid for her eye surgery after 8 months?

Step-by-step explanation:

There is no options but I think the graph equation is

\(f(x) = \sqrt{x} + 2\)

The sample from the human remains is approximately

12,820 years old

Given the model used for radiocarbon dating after a particular period of time "t" expressed according to the formula;

\(Q(t)=b_0e^{-0.0001211t}\)

If a sample from a human bone taken from the site showed that 21.2

% of the carbon-14 still remained, then Q(t) = 21.2

Substitute the given parameters into the formula:

\(Q(t)=b_0e^{-0.0001211t}\\0.212b_0=b_0e^{-0.0001211t}\\0.212 = e^{-0.0001211t}\\ln0.212=lne^{-0.0001211t}\\-1.55117=-0.0001211t\\t=\frac{1.55117}{0.000121}\\t= 12,819.56 years\)

Hence the sample from the human remains is approximately

12,820 years old

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

$17.99

Explanation:

Item cost = $17

Sales tax = 5.8%.

First, calculate the tax to be paid on the item.

Next, calculate the total purchase price by adding the item cost and the tax.

The total purchase price is $17.99 rounded to the nearest cent.

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

\(m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3\)

The rate of change of the line or slope of the line is -3

Equation of the line is given by

\((y-0)=-3(x-0)\\\Rightarrow y=-3x\)

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

Step-by-step explanation:

Answer:

75 bottles/1 minute

Step-by-step explanation:

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

Step-by-step explanation: yes, we belive that they start young with pyromania.  They may see as something powerful

Answer:

Explanation:

Given:

To find:

The volume of the square pyramid

The volume(V) of a square pyramid can be determined using the below formula;

where a = length of the side of the square base = 4 in

h = height of the pryramid = 7 in

So if we substitute the above values into the formula and solve for V, we'll have;

So the volume of the square pyramid is 37.3 in^3

Answer:

C

Step-by-step explanation:

( it think you meant to put 1350 because theres no way to get 1340)

Answer:

length: 120 feet

width: 80 feet

area: 9600 feet^2

Step-by-step explanation:

since the scale is 1 inch:10 feet:

to find the actual length, we would multiply 12 by 10, since 1 inch would be 10 feet and the length in the floor plan is 12 inches:

length = 12*10=120

the length of the actual room is 120 feet.

to find the actual width, we would multiply 8 by 10, for the same reasons i explained for the length:

width = 8*10=80

the width of the actual room is 80 feet.

to find the area, we would multiply length by the width:

80*120=9600 square feet.

Answer:

length= 120 feet

width= 80 feet

Area=9,600 feet

Step-by-step explanation:

each inch equals 10 feet

12×10=12

8×10=80

area=length×width

120×80=9600

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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Answer:

3,10,8,5,4,1,7,2,9,6

Step-by-step explanation:

Answer:

-4(2t+1)(2t-7)

Step-by-step explanation:

First factor out the common term -4

Then factor out -4^2

Answer:

the answer is( -42t+1)(2t-7)

Answer:

-0.5a

Step-by-step explanation:

thats the answer loloolol

Answer:

\(44 + 104 + (18 + 7x) = 180 \\ 7x = 180 - 44 - 104 - 18 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2\)

THE REASON IS THE SUM OF ANGLES OF A TRIANGLE IS 180°

HOPE THIS HELPS!

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Given:

Tina's daughter is 31 months old.

1 year = 12 months

So, the age =

So, the age in decimal = 2.58 years old

Rounding to the nearest 10th

So, the answer is 2.6

Answer:

domain is [-6,6] or -6 ≤ x ≤6

Step-by-step explanation:

domain is x value of given function

dark circle means that that number is included in domain

Answer:

.

Step-by-step explanation:

Answer:

it's the 'D' ..............,..

Answer:

£1.62

Step-by-step explanation:

add them all up then subtract 100 and forget about the negative sign

Answer:

g^-1(x)=x/2+3/2

Step-by-step explanation:

Being a female and participating in sports are independent events for the provided data because P(girl) = P(girl participates in sports)

These are the occurrences that are independent of other occurrences.

Occurrences A and B are independent events when the likelihood of one occurring is unaffected by the occurrence of the other.

Probability of independent events formula:

"P(A∩B) = if A and B are independent occurrences P(A).P(B)

Finding the chance that an event will occur is the focus of this area of mathematics."

P(A) = n(A)/n(S), where n(A) is the number of positive outcomes and n(S) is the total number of possible outcomes for an event A.

For given question,

We have been given a table that shows the results broken down by gender.

            Play sports         Do not play sports       Total

Boy            95                          45                        140

Girl             76                           59                       135

Total          171                            104                     275

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 135/275

⇒ P(girl) = 0.49                    ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 76/ 171

= 0.44                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

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A, C and D are all true statements about the normal distribution.

A. The curve is symmetrical

C. Approximately 68% of values fall within one standard deviation of the mean

D. The tails are asymptotic

A normal distribution may not have an identical mean, median, or mode, hence statement B is untrue.

C is true because, under the normal distribution, 68% of values will lie within one standard deviation of the mean.

The normal distribution's tails are asymptotic, which means they approach but never reach a particular value, which explains why D is true.

Hence, A, C, and D are the correct answers.

Complete Question:

Which of the following statements are true about the normal distribution? (Choose one or more.)

A. The curve is symmetrical

B. The mean, median and mode are the same

C. Approximately 68% of values fall within one standard deviation of the mean

D. The tails are asymptotic

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Answer:

D) Acceleration is positive and increasing.​

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

\(a=\frac{v}{t}\)

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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