Taylor was using her phone to record a concert. She started the concert at 100% and lost 3% every 2 minutes. (a)Create an equation, table and graph to represent this situation.(b)How long will it take Taylor's phone to reach 10% battery life.

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.

Learn more about graph at:

https://brainly.com/question/25799000

#SPJ1

\(\dfrac{1}{3} + \dfrac{1}{4} + \dfrac{1}{2} = \dfrac{4}{12} + \dfrac{3}{12} + \dfrac{6}{12} = \dfrac{4+3+6}{12} = \bf \dfrac{13}{12}\\\)

By using the graphing method, an ordered pair which represent a solution to the given system of equations is (-6, -6).

A graph simply refers to a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

In order to plot the system of equations on a graph, we would simplify the second equation as follows:

4u = 2v - 12

Dividing both sides of the equation by 4, we have the following:

4u/4 = 2v/4 - 12/4

u = v/2 - 3

Note: The values of v would be plotted on the y-axis of a graph while the values of u would be plotted on the y-axis of a graph.

By critically observing the graph (see attachment) of the given system of equations, we can logically deduce that its solution occur at this point of intersection (-6, -6).

Read more on graphs here: brainly.com/question/4546414

#SPJ1

The grouped frequency distribution for the data is shown below.

A grouped frequency distribution is a way of summarizing and organizing raw data into a more manageable and meaningful form. The data is divided into intervals or "classes", and the number of data points that fall into each class is counted and recorded as the frequency of that class. This allows for easier interpretation and comparison of the data, as well as identifying patterns or trends. The grouped frequency distribution is commonly displayed in a table or a histogram.

Given that,

79, 85, 71, 83, 78, 67, 70, 87, 81, 86, 74, 67, 68, 76, 66, 72, 76, 80

Now, arranging the given data in ascending order,

66, 67, 67, 68, 70, 71, 72, 74, 76, 76, 78, 79, 80, 81, 83, 85, 86, 87

The grouped frequency distribution for the data:

Test Scores                   Frequency

65.5 - 71.5                        6

71.5 - 77.5                         4

77.5 - 83.5                        5

83.5 - 89.5                        3

To know more about grouped frequency check:

https://brainly.com/question/14363947

#SPJ1

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

Read more on surface area here: https://brainly.com/question/27812847

#SPJ1

Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Answer:

a -3.9

Step-by-step explanation:

Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides

Answer:

Step-by-step explanation:

The value of P(x>6) is 1/5.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that A distribution is given as X ~ U(0, 12).

We need to find the value of  P(x > 6)

The probability density function of the uniform distribution is defined as:

f(x)=1/b-a, a<x<b

a=0 and b=12

f(x)=1/12 , 0<x<12

The required probability is P(x>6)

Now P(x>6)= \(\int\limits^2_6 {f(x)} \, dx\)

P(x>6)=(12/12-6/12)

=1-1/2

=1/2=0.5

Hence, the value of P(x>6) is 1/5.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ5

The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.

To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:

Price: $\(6\)

Quantity: \(0\)

Total Revenue: $\(6 \times 0\) = $\(0\)

Price: $\(5\)

Quantity: \(2\)

Total Revenue: $\(5 \times 2\) = $\(10\)

Price: $\(4\)

Quantity: \(3\)

Total Revenue: $\(4 \times 3\) = $\(12\)

Price: $\(3\)

Quantity: \(4\)

Total Revenue: $\(3 \times 4\) = $\(12\)

Price: $\(2\)

Quantity: \(5\)

Total Revenue: $\(2 \times 5\) = $\(10\)

Price: $\(1\)

Quantity: \(6\)

Total Revenue: $\(1 \times 6\) = $\(6\)

To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.

Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.

For more such questions on revenue:

https://brainly.com/question/25102079

#SPJ8

Answer:

I don't see any answer choices, but read my explanation

Step-by-step explanation:

Any line with a slope of 3 would be parallel to y=3x+2.

For example,

y=3x+4

y=3x-1

y=3x

All of these lines are parallel to the original equation

Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 20.66, \sigma = 2.4\)

The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{21 - 20.66}{2.4}\)

Z = 0.14

Z = 0.14 has a p-value of 0.5557.

1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

9514 1404 393

Answer:

  b)  12.2 ft

Step-by-step explanation:

Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.

The problem can be solved using the law of sines. In the attached, we have ...

  AD/sin(O) = OA/sin(D)

The angle at D is 180° -45° -75° = 60°, so this can be written as ...

  AD = sin(45°)(15 ft)/sin(60°)

  AD ≈ 12.247 ft

The pole is about 12.2 feet long.

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

For more such information on: expression

https://brainly.com/question/28602085

#SPJ8

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

Read more about expression at

brainly.com/question/15775046

#SPJ1

Answer:

Option (C)

Step-by-step explanation:

Given:

In right triangles ΔAED and CEB,

m∠AED = m∠CEB = 90°

DE ≅ BE

AD ≅ BC

To prove:

ΔAED ≅ ΔCEB

                    Statements                         Reasons

1). m∠AED = m∠BC = 90°              1). Given

2). DE = BE                                     2). Given

3). AD = BC                                    3). Given

4). ΔAED ≅ ΔCEB                          4). By HL theorem of congruence

Option (C) is the answer.

Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

Learn more about perpendicular lines at

https://brainly.com/question/1202004

#SPJ1

Answer:

Step-by-step explanation:

The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:

\(\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right]\)

When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.

Using the combinations formula, the probability that you'll win the jackpot is given by:

A. 1/302575350.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

5 numbers are selected from a set of 70, along with one number from a set of 25, hence the number of combinations is given by:

\(C_{70,5}C_{25,1} = \frac{70!}{5!65!} \times \frac{25!}{1!24!} = 302575350\)

Only one combination is correct, hence the probability of winning is given by:

A. 1/302575350.

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer:

No, the zeros of the function are at x = 3/4 and x = –2

Step-by-step explanation:

the equation

4x² + 5x – 6 = 0

(note: since there is a coefficient of x² we need to multiply it to the last term(6))

4x² + 5x – 24 = 0

the factors are :- 8x and – 3x

4x² + 8x – 3x – 6 = 0

4x( x + 2) –3( x + 2) = 0

( 4x – 3)( x + 2) = 0

the zeros will be

4x – 3 = 0

4x = 3

\(x = \frac{3}{4} \)

x + 2 = 0

x = – 2

the zeros are x= 3/4 or –2

i hope this helps

a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis

What is the P-value?

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

a. The parameter of interest is the mean weight of loaves of bread produced at the bakery.

The null hypothesis is that the mean weight is equal to 1 pound, and the alternative hypothesis is that the mean weight is less than 1 pound. We can express these hypotheses as follows:

H0: μ = 1

Ha: μ < 1

b. There is some evidence for the alternative hypothesis because the sample mean weight of the bread loaves is less than 1 pound.

If the null hypothesis were true (i.e., the true mean weight is 1 pound), we would expect the sample mean to be close to 1 pound.

The fact that it is less than 1 pound suggests that the new employees may be producing loaves that are too light.

c. The P-value for the test in part (a) is not given, so we cannot interpret it. However, if the P-value were given and it was less than the significance level (e.g., 0.05), we would interpret it as the probability of observing a sample mean at least as extreme as the one we obtained, assuming that the null hypothesis is true.

d. To make a conclusion at the significance level (e.g., 0.05), we would compare the P-value (if given) to the significance level.

If the P-value is less than or equal to the significance level, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean weight of the bread loaves is less than 1 pound.

If the P-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that we do not have enough evidence to suggest that the true mean weight is less than 1 pound.

Hence, a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis.

To learn more about the P-value visit:

https://brainly.com/question/13786078

#SPJ1

Answer:

A. f(x)=2x^2

Step-by-step explanation:

Graphing this equation shows us that its vertex is at the origin (0,0) and by solving and refining for the focus of the parabola gives us (0,1/8) which fits the criteria the question is asking for.

Answer:

the answer is 168 is the answer

The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

Learn more about the profitability ratios at https://brainly.com/question/16750058

#SPJ1

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Answer:

3

Step-by-step explanation:

x^2 + y^2 = 9

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

( h,k) is the center and r is the radius

x^2 + y^2 = 3^2

The radius is 3

Answer:

-56;+4

Step-by-step explanation:

56 oopposite is -56

-(-4)=+4

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

Answer:

8.4 feet

I would appreciate Brainliest, but no worries.

Answer:

\(z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83\)    

The p value for this case would be:

\(p_v =2*P(Z>14.83)\approx 0\)    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different

Step-by-step explanation:

Information given

\(X_{1}=775\) represent the number of people fully employed men

\(X_{2}=680\) represent the number of people fully employed women

\(n_{1}=840\) sample 1 selected  

\(n_{2}=1077\) sample 2 selected  

\(p_{1}=\frac{775}{840}=0.923\) represent the proportion estimated for male employed

\(p_{2}=\frac{680}{1077}=0.631\) represent the proportion estimated for women employed

\(\hat p\) represent the pooled estimate of p

z would represent the statistic

\(p_v\) represent the value for the test

System of hypothesis

We want to test the claim that the employment levels for men compared to woman were different, the system of hypothesis would be:    

Null hypothesis:\(p_{1} = p_{2}\)    

Alternative hypothesis:\(p_{1} \neq p_{2}\)    

For this case the statistic is given by:

\(z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}\)   (1)  

Where \(\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{775+680}{840+1077}=0.759\)  

Replacing the info given we got:

\(z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83\)    

The p value for this case would be:

\(p_v =2*P(Z>14.83)\approx 0\)    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different.

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

Mathematically, the volume of a pyramid is given by the formula:

\(Volume = \frac{1}{3} \times base\;area \times height\)

For the base area:

The area of a right triangle is given by:

\(A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}\)

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

\(234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}\)

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790