The entire graph of the function h is shown in the figure below. Write the domain and range of h as intervals or unions of intervals.
Answers
The domain and the range of the graph are Domain = (-5, -1) U (2, 5] and Range = (-4, 5]
Calculating the domain and range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The above graph can be represented as a list of ordered pairs
The rule of a graph is that
The domain is the x valuesThe range is the f(x) valuesUsing the above as a guide, we have the following:
Domain = (-5, -1) U (2, 5]
Range = (-4, 5]
Read more about domain and range at
brainly.com/question/27910766
#SPJ1
Related Questions
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The calculated measure of the angle 1 is 43 degrees
How to determine the measure of the angle 1From the question, we have the following parameters that can be used in our computation:
The circle
Also, we have
The line AB tangent to the circle
This means that
Angle 1 = 1/2 * the arc subtended by the line
So, we have
Angle 1 = 1/2 * 86
Evaluate
Angle 1 = 43
Hence, the measure of the angle 1 is 43 degrees
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Which statement correctly explains the association of the scatter plot? Since the Y values increase as the X values increase the Scatter plot shows a positive association. Sense to Weibo use decrease as the X values increase the scatter plot shows a positive association.
Answers
The correct statement regarding the association in the scatter plot is given as follows:
Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
How to classify the association between variables?There can either be a positive association between variables or a negative association between variables, as follows:
Positive association happens when both variables have the same behavior, that is, as one increases the other increases, and as one decreases the other also decreases.Negative association happens when the variables have opposite behavior, as one variable is increasing the other is decreasing, or as one variable is decreasing, the other is increasing.In this problem, we have a decreasing scatter plot, hence there is a negative association between the variables.
More can be learned about association between variables at brainly.com/question/16355498
#SPJ1
Need this asap will give brainliest
Answers
Answer:
Angles 3 and 5 are consecutive interior angles.
A rhombus with horizontal
diagonal length 2 centimeters
vertical diagonal length 3 centimeters.
Find the area of the rhombus-shaped keychain.
3 cm2
5 cm2
6 cm2
12 cm2
Answers
The area of the Rhombus-shaped keychain is 3 square centimeters.
The area of the rhombus-shaped keychain,
we can use the formula:
Area = (diagonal1 * diagonal2) / 2
Given that the horizontal diagonal has a length of 2 centimeters and
the vertical diagonal has a length of 3 centimeters,
we can substitute these values into the formula:
Area = (2 * 3) / 2
= 6 / 2
= 3 cm^2
Therefore, the area of the rhombus-shaped keychain is 3 square centimeters.
To know more about Rhombus.
https://brainly.com/question/29629002
#SPJ8
Use the hundredths grid to answer the question. A 10 by 10 grid is shown. 4 columns and 7 squares are shaded. 2 columns and 5 squares are shaded. Which equation is shown by the shaded area of the model? A. 0 . 29 + 0 . 43 = 0 . 72 B. 0 . 43 + 0 . 22 = 0 . 65 C. 0 . 47 + 0 . 25 = 0 . 72 D. 0 . 23 + 0 . 42 = 0 . 65
Answers
Answer:
What the other guy said
Step-by-step explanation:
which of the following exponential regression equations best fits the data shown below?
Answers
The exponential regression equation that best fits the data is y = 2^x.
To determine which exponential regression equation best fits the given data points (2, 4), (3, 8), (4, 16), and (5, 32), let's analyze the options for regression equations:
Option 1: y = 2^x
Option 2: y = 3^x
Option 3: y = 4^x
Option 4: y = 5^x
To find the best fit, we need to compare the predicted y-values from each equation with the actual y-values of the given data points.
The equation that produces the least amount of error or the closest predicted y-values to the actual ones will be the best fit.
Let's calculate the predicted y-values for each option using the given x-values:
Option 1: [tex]y = 2^2, 2^3, 2^4, 2^5 = 4, 8, 16, 32[/tex]
Option 2:[tex]y = 3^2, 3^3, 3^4, 3^5 = 9, 27, 81, 243[/tex]
Option 3:[tex]y = 4^2, 4^3, 4^4, 4^5 = 16, 64, 256, 1024[/tex]
Option 4:[tex]y = 5^2, 5^3, 5^4, 5^5 = 25, 125, 625, 3125[/tex]
By comparing the predicted y-values with the actual y-values of the data points, we can determine which option provides the closest fit.
Based on the given data points, we can observe that the predicted y-values from Option [tex]1 (y = 2^x)[/tex] match the actual y-values most closely.
The predicted values for Option 1 are 4, 8, 16, and 32, which exactly match the given data points.
For similar question on exponential regression equation.
https://brainly.com/question/9302810
#SPJ8
The complete question may be like: Consider the following data points: (2, 4), (3, 8), (4, 16), (5, 32). We need to determine which exponential regression equation best fits this data. Please provide the options for the regression equations so that I can assist you in finding the best fit.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer: Area = = 38.5 - Perimeter - 29.6819.
Step-by-step explanation:
To find the perimeter and area of a triangle with vertices L(5,5), M(-2,-4), and N(5,-6), we can use the distance formula and the formula for the area of a triangle.
Perimeter:
The perimeter of a triangle is the sum of the lengths of its sides. We can find the lengths of each side using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the lengths of LM, MN, and NL:
LM = √((-2 - 5)^2 + (-4 - 5)^2)
= √((-7)^2 + (-9)^2)
= √(49 + 81)
= √130
MN = √((5 - (-2))^2 + (-6 - (-4))^2)
= √((7)^2 + (-2)^2)
= √(49 + 4)
= √53
NL = √((5 - 5)^2 + (-6 - 5)^2)
= √((0)^2 + (-11)^2)
= √(0 + 121)
= √121
= 11
The perimeter of the triangle is the sum of these three sides:
Perimeter = LM + MN + NL
= √130 + √53 + 11 = 29.6819
Area:
To calculate the area of the triangle, we can use the formula for the area of a triangle using the coordinates of its vertices. The formula is given by:
Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
Using the coordinates of L(5,5), M(-2,-4), and N(5,-6), we can calculate the area:
Area = 0.5 * |5(-4 - (-6)) + (-2)(-6 - 5) + 5(5 - (-4))|
= 0.5 * |5(2) + (-2)(-11) + 5(9)|
= 0.5 * |10 + 22 + 45|
= 0.5 * |77|
= 38.5
Therefore, the perimeter of the triangle is given by √130 + √53 + 11 = 29.6819 units, and the area of the triangle is 38.5 square units.
1-56.
The owner of Universal Widgets has two teams of employees and
wants to know which team is working the "best." The assistant
manager gathered data for the number of widgets made per team
member on various days. He presented the data to the owner as
two boxplots, shown at right. The owner is confused.
a. Help the owner decide which team is working the "best"
by comparing center, shape, spread, and outliers.
b. Which team had a smaller standard deviation? Explain.
200
150
100
30
Team I
Answers
Center: We can compare the medians of the two boxplots to get an idea of the center. From the boxplots, we see that the median of Team I is around 110 widgets per team member, while the median of Team II is around 90 widgets per team member. This suggests that Team I is working better in terms of productivity.
Shape: We can compare the shapes of the two boxplots to see if there are any differences in the distributions. From the boxplots, we see that both teams have roughly symmetric distributions, with no significant skewness.
Spread: We can compare the interquartile ranges (IQRs) of the two boxplots to get an idea of the spread. From the boxplots, we see that the IQR of Team I is around 30 widgets per team member, while the IQR of Team II is around 40 widgets per team member. This suggests that Team I has a smaller spread and is more consistent in their productivity.
Outliers: We can compare the number of outliers in the two boxplots to see if there are any extreme values. From the boxplots, we see that both teams have a similar number of outliers, with a few points outside the whiskers.
Based on these comparisons, we can conclude that Team I is working better than Team II in terms ofproductivity. Team I has a higher median, a smaller spread, and a similar number of outliers compared to Team II.
b. To determine which team had a smaller standard deviation, we need to calculate the standard deviation for each team. However, the boxplot only gives us information about the quartiles, the median, and the outliers, and not the individual data points. Therefore, we cannot directly calculate the standard deviation from the boxplot.
However, we can make an inference based on the spread of the boxplots. We saw in part (a) that the IQR of Team I is smaller than the IQR of Team II. Since the IQR is a measure of spread that includes the middle 50% of the data, we can infer that the standard deviation of Team I is likely smaller than the standard deviation of Team II. This is because a smaller IQR suggests that the data is more tightly clustered around the median, which would result in a smaller standard deviation.
Therefore, based on the boxplots, we can infer that Team I had a smaller standard deviation than Team II.
6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answers
Answer:
65/100 that is the answer to this question
Please help (easy economics question)!!!
Answers
The dollar value of total revenue at each price is $[tex]0[/tex], $[tex]10[/tex], $[tex]12[/tex], $[tex]12[/tex], $[tex]10[/tex], and $[tex]6[/tex]. Total revenue will be the greatest at a price of $[tex]4[/tex], with [tex]3[/tex] 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: $[tex]6[/tex]
Quantity: [tex]0[/tex]
Total Revenue: $[tex]6 \times 0[/tex] = $[tex]0[/tex]
Price: $[tex]5[/tex]
Quantity: [tex]2[/tex]
Total Revenue: $[tex]5 \times 2[/tex] = $[tex]10[/tex]
Price: $[tex]4[/tex]
Quantity: [tex]3[/tex]
Total Revenue: $[tex]4 \times 3[/tex] = $[tex]12[/tex]
Price: $[tex]3[/tex]
Quantity: [tex]4[/tex]
Total Revenue: $[tex]3 \times 4[/tex] = $[tex]12[/tex]
Price: $[tex]2[/tex]
Quantity: [tex]5[/tex]
Total Revenue: $[tex]2 \times 5[/tex] = $[tex]10[/tex]
Price: $[tex]1[/tex]
Quantity: [tex]6[/tex]
Total Revenue: $[tex]1 \times 6[/tex] = $[tex]6[/tex]
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 $[tex]3[/tex], and the corresponding quantity sold is [tex]4[/tex] units.
Therefore, at a price of $[tex]3[/tex], the total revenue will be the greatest, with [tex]4[/tex] units sold.
For more such questions on revenue:
https://brainly.com/question/25102079
#SPJ8
HELP PLEASEE PLEASE I NEED TO PASS THIS LESSON
Answers
The function [tex]G(t)= 1024(0.5)^{t-1[/tex] models the number of computer games sold where t is the number of days since the release date and G(t) is the number of computer games sold.
The given table is
Days After Number of
Release Date Games sold
0 1024
1 512
2 256
3 128
Here, the common ratio = 512/1024
= 1/2
The formula to find nth term of the geometric sequence is aₙ=arⁿ⁻¹. Where, a = first term of the sequence, r= common ratio and n = number of terms.
Here, [tex]G(t)= 1024(0.5)^{t-1[/tex]
Therefore, the function [tex]G(t)= 1024(0.5)^{t-1[/tex] models the number of computer games sold where t is the number of days since the release date and G(t) is the number of computer games sold.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
HELP!!! what is the answer!!!!
Answers
Answer:
Step-by-step explanation:
the of of 50 percent of people is married
Pedro observed what customers ordered at his ice cream shop and found the following probabilities:
�
(
vanilla
)
=
0.3
�
(
sundae
)
=
0.2
�
(
vanilla and sundae
)
=
0.15
P(vanilla)=0.3
P(sundae)=0.2
P(vanilla and sundae)=0.15
Find the probability that a customer ordered vanilla ice cream given they ordered a sundae.
Answers
The probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75, or 75%.
To find the probability that a customer ordered vanilla ice cream given they ordered a sundae, we can use the concept of conditional probability.
The conditional probability of an event A given event B is denoted as P(A|B) and is calculated as the probability of both events A and B occurring divided by the probability of event B.
In this case, we want to find P(vanilla|sundae), which represents the probability of a customer ordering vanilla ice cream given that they ordered a sundae.
Using the given probabilities:
P(vanilla) = 0.3
P(sundae) = 0.2
P(vanilla and sundae) = 0.15
The probability of a customer ordering a sundae is the denominator for the conditional probability. Therefore, P(sundae) will be the denominator.
P(vanilla|sundae) = P(vanilla and sundae) / P(sundae)
Substituting the given values:
P(vanilla|sundae) = 0.15 / 0.2
Now we can simplify:
P(vanilla|sundae) = 0.15 / 0.2
= 0.75
Therefore, the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75, or 75%.
In conclusion, based on the given probabilities, there is a 75% chance that a customer who ordered a sundae also ordered vanilla ice cream.
For more question on probability visit:
https://brainly.com/question/24756209
#SPJ8
Need this asap will give brainliest
Answers
Answer:
measure of angle 7 + measure of angle 8 = 180°.
find the surface area
Answers
400Answer:
Step-by-step explanation:
Solve the following equation by Graphing:
0 = x^2 - 6x + 7
Answers
Answer:
See below
Step-by-step explanation:
Where the graph crosses the x-axis will solve the equation
From the observation deck of a skyscraper, Morgan measures a 67^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 955 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The Horizontal distance from the base of the skyscraper to the ship is approximately 403.81 feet.
We can use trigonometry and the concept of angles of depression. We can consider the height of the observation deck as the opposite side and the horizontal distance to the ship as the adjacent side of a right triangle.
Given that the angle of depression is 67 degrees and the height of the observation deck is 955 feet, we want to find the horizontal distance (adjacent side).
Using the trigonometric function tangent, we can set up the following equation:
tan(67°) = opposite/adjacent
tan(67°) = 955/adjacent
To find the value of the adjacent side (horizontal distance), we can rearrange the equation:
adjacent = 955/tan(67°)
Using a calculator, we can evaluate the tangent of 67 degrees:
tan(67°) ≈ 2.3693
Now we can substitute this value into the equation:
adjacent = 955/2.3693
adjacent ≈ 403.81
Therefore, the horizontal distance from the base of the skyscraper to the ship is approximately 403.81 feet.
To know more about Horizontal .
https://brainly.com/question/30197734
#SPJ8
The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?
Answers
The height of the average fourth grader is 137cm 1mm. This height can be determined by multiplying 3 by the average height of a newborn baby.
Given information,
The average height of babies = 45 cm 7mm
45 cm 7 mm is equivalent to 45.7 cm (since there are 10 millimeters in a centimeter).
Let the height of a fourth grader be x.
According to the question,
The height of a fourth grader (x) = 3 × the average height of a newborn baby
The height of a fourth grader (x) = 3 × 45.7
The height of a fourth grader (x)= 137.1 = 137cm 1mm
Therefore, the height of a fourth grader is 137cm 1mm.
Learn more about average, here:
https://brainly.com/question/31796355
#SPJ1
what is the value of z (2x+6) degrees 12 degrees
Answers
The value of x indicated in the right angle of EFG is determined as 36.
option D.
What is the value of x?The value of x is calculated by applying the principle of sum of angles in a right angle triangle as follows;
A right triangle has a right angle and two angles that are complementary.
If angle EFG is a right angle, then the sum of angles at point F is 90 degrees.
The value of x is calculated by setting up the following equations;
2x + 6 + 12 = 90
2x + 18 = 90
2x = 90 - 18
2x = 72
x = 72/2
x = 36
Thus, the value of x is calculated by applying the principle of sum of angles in a right angle triangle.
Learn more about right angles here: https://brainly.com/question/64787
#SPJ1
Need help asap
A party rental company has chairs and tables for rent. The total cost to rent 8 chairs and 4 tables is $37. The total cost to rent 3 chairs and 2 tables is $17.
What is the cost to rent each chair and each table?
Cost to rent each chair: SI
Cost to rent each table:
Answers
Solving a system of equations we can see that the costs are:
For a chair, 3/2 dollars.
For a table, 25/4 dollars.
What is the cost to rent each chair and each table?Here we can define the variables:
x = cost of rending a chair.
y = cost of renting a table.
Here we can write a system of equations:
8x + 4y = 37
3x + 2y = 17
We can subtract two times the second equation from the first one:
8x + 4y - 2*(3x + 2y) = 37 - 2*17
2x = 3
x = 3/2
And the value of y is:
3*(3/2) + 2*y = 17
2y = 17 - 9/2 = 25/2
y = 25/2/2
y = 25/4
These are the costs in dolllars.
LEarn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Name an equation parallel to: y = -2/3 x + 10
Answers
Answer: The answer is...
y = -2/3 x + 1
Step-by-step explanation:
The others would have crossed paths with y = -2/3 x + 10
What is the lateral surface area of the triangular prism below?
Answers
The lateral surface area of the triangular base prism is 288 m².
How to find the lateral area of a triangular prism?The lateral area of the triangular base prism can be found as follows:
Lateral area of the triangular base prism = (a + b + c)h
where
a, b and c are the side of the triangleh = height of the prismTherefore,
a = 7 m
b = 8 m
c = 9 m
h = 12 m
Therefore,
Lateral area of the triangular base prism = (7 + 8 + 9)12
Lateral area of the triangular base prism = 24 × 12
Lateral area of the triangular base prism = 288 m²
learn more on lateral area here: https://brainly.com/question/29047291
#SPJ1
find the center of the circle that you can circumscribe about triangle ABC. A(2,8) B(0,8) C(2,2)
Answers
The center of the circumscribed circle is (1, 5).
How do we calculate?We calculate the midpoint and slope of the line segment AB:
Midpoint of AB = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Midpoint of AB = ((2 + 0) / 2, (8 + 8) / 2)
Midpoint of AB = (1, 8)
Slope of AB = (y₂ - y₁) / (x₂ - x₁)
= (8 - 8) / (0 - 2)
Slope= 0
We can notice that the equation of the perpendicular bisector of AB is x = 1.
We also find midpoint and slope of the line segment BC
Midpoint of BC = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
= ((0 + 2) / 2, (8 + 2) / 2)
= (1, 5)
Slope of BC = (y₂ - y₁) / (x₂ - x₁)
= (2 - 8) / (2 - 0)
= -3
y - 5 = -3(x - 1)
y - 5 = -3x + 3
3x + y = 8
we have the equations of two perpendicular bisectors which are
x = 1 and 3x + y = 8.
We Substitute x = 1 into 3x + y = 8:
3(1) + y = 8
3 + y = 8
y = 5
In conclusion, center of the circumscribed circle is (1, 5).
Learn more about slope at:
https://brainly.com/question/3493733
#SPJ1
please answer asap!!!!!!!!
Answers
hope this helps :)
Which mathematical statement represents "17 more than a number is 26"?
17>26
On+17-26
17<26
O26+n-17
Answers
The mathematical statement that represents "17 more than a number n is 26" can be written as: n + 17 = 26
Given that a statement we need to convert it into a mathematical statement,
The mathematical statement that represents "17 more than a number n is 26" can be written as:
n + 17 = 26
To solve for n, we can subtract 17 from both sides of the equation:
n + 17 - 17 = 26 - 17
Simplifying the equation gives:
n = 9
Therefore, the number n is 9.
Hence the mathematical statement that represents "17 more than a number n is 26" can be written as: n + 17 = 26
Learn more about mathematical expressions click;
https://brainly.com/question/30350742
#SPJ1
Which of the following is the result of expanding ____
A.8.5
b.15.5
C.32
D.60
Answers
The sum between n = 1 and n = 5 is 15.5, so the correct option is the second one.
Which is the value of the summatory?Here we have the summatory:
[tex]\sum^{5}_{n = 1} 2^{n - 2}[/tex]
So we just need to add the 5 terms (between n = 1 and n = 5)
So we will get the sum:
S = [ 2¹⁻² + 2²⁻² + 2³⁻² + 2⁴⁻² + 2⁵⁻²]
S = [2⁻¹ + 2⁰ + 2¹ + 2² + 2³]
S = [0.5 + 1 + 2 + 4 +8]
S = 15.5
So the correct option is the second one.
Learn more about summatories at:
https://brainly.com/question/30518693
#SPJ1
3.2.3. In the table below, the written explanation of the steps have been provided, show the
mathematical steps for the explanations given.
WH
Factorize x²+x-12
Mathematical steps.
x² + 4x -3x - 12
(x+4)(x-3)
Explanation
Rewrite the middle term of the trinomial
using the values from the chart above.
Group pairs of terms.
Factor out the HCF of the first group.
Factor out the HCF of the second group.
Factor out HCF of the two terms
The final factorized answer
SURINATE
Answers
1. Rewrite the middle term of the trinomial using the values from the chart above:
x² + 4x - 3x - 12
2. Group pairs of terms:
(x² + 4x) - (3x + 12)
3. Factor out the HCF of the first group:
x(x + 4) - 3(x + 4)
4. Factor out the HCF of the second group:
(x + 4)(x - 3)
5. Factor out HCF of the two terms:
We can see that (x + 4) is a common factor in both terms, so we can factor it out:
(x + 4)(x - 3)
6. The final factorized answer is (x + 4)(x - 3).
Direction: Read each item carefully. Encircle the best answer from the given
choices.
1. What is A U B; if A = {<, +, =, x) and B = {=, +, /, >}
A. {<, +, =, X}
C. {<, +, =, x, /, >}
B. (=, +, /, >}
D. {<, +, =, x, =, +, /, >}
2. What is An M; if A = {1, 2, 4) and M = {2, 3, 5}?
A. {1}
C. (3)
B. (2)
D. (4)
3. What is Bn C; if B = {C, O, U, G, H) and C = {F, E, V, E, R)
C. (F, E, V, E, R}
A. {}
B. (C,O,U,G,H}
D. (C, O, U, G, H, F, E, V, E, R}
4. What is M - J; if M = {soap, alcohol, sanitizer, mask) and J = {alcohol,
sanitizer, mask, gloves}?
A. {alcohol)
C. {mask}
B. (gloves)
D. (soap}
5. What is complement of set A if U = {Frontliners, sacrifice, their, lives, to,
combat, coronavirus) and B = {Frontliners, sacrifice, their, lives)
A. (Frontliners)
C. (to, combat, coronavirus}
Answers
1) The value of A ∪ B is,
A ∪ B = {<, +, =, /, >, x }
2) The value of A ∩ M is,
A ∩ B = {2}
3) The value of B ∩ C is,
B ∩ C = { }
4) The value of M - J is,
M - J = {soap}
5) The complement of set A is,
A' = (to, combat, coronavirus}
Now, WE can simplify as;
1) We have;
A = {<, +, =, x) and B = {=, +, /, >}
Hence, We get;
The value of A ∪ B is,
A ∪ B = {<, +, =, /, >, x }
2) Given that,
A = {1, 2, 4) and M = {2, 3, 5}
Hence, The value of A ∩ M is,
A ∩ B = {2}
3) Given that;
B = {C, O, U, G, H) and C = {F, E, V, E, R)
Hence, The value of B ∩ C is,
B ∩ C = { }
4) Given that;
M = {soap, alcohol, sanitizer, mask) and J = {alcohol, sanitizer, mask, gloves}
Hence, The value of M - J is,
M - J = {soap}
5) Given that;
U = {Frontliners, sacrifice, their, lives, to, combat, coronavirus) and A = {Frontliners, sacrifice, their, lives)
Hence The complement of set A is,
A' = U - A
A' = (to, combat, coronavirus}
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
The revenue in dollars of a shoe store is modeled by the expression -4.1x² + 9x + 1,325 where x is the number of shoes sold. The cost of selling the shoes is modeled by the expression -10.1x² - 9.6x +10,000. What simplified expression models the profit in
dollars of the company as a function of x?
Answers
The sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
How to find determine the expression models the profit in dollars of the company as a function of xUsing the formula:
D = 10 * log(I/I0),
where D represents the sound intensity in decibels, I is the given sound intensity, and I0 is the reference intensity of 10^-12 watts per square meter.
Substituting the given values:
D = 10 * log(8.2*10^2 / 10^-12).
To simplify the calculation, we can rewrite the division as multiplication by the reciprocal:
D = 10 * log(8.2*10^2 * 10^12).
Using the logarithm property log(a * b) = log(a) + log(b):
D = 10 * (log(8.2) + log(10^2) + log(10^12)).
Using the logarithm property log(a^b) = b * log(a):
D = 10 * (log(8.2) + 2 * log(10) + 12 * log(10)).
Since log(10) = 1:
D = 10 * (log(8.2) + 2 + 12).
D = 10 * (log(8.2) + 14).
Using a calculator or logarithm table, we can find log(8.2) ≈ 0.913.
D = 10 * (0.913 + 14).
D = 10 * 14.913.
D ≈ 149.13.
Therefore, the sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
Learn more about sound intensity at https://brainly.com/question/30338997
#SPJ1
Write the quadratic equation in standard form that corresponds to the graph shown below.
Answers
The quadratic equation shown in the graph is:
y = x² + 2x - 8
How to write the quadratic equation?Here we want to find the graph of the given quadratic equation, where we only know the zeros of it.
Remember that if a quadratic equation has the zeros:
x = a
x = b
Then we can write it as:
y = (x - a)*(x - b)
Here the zeros are:
x = -4
x = 2
Then we can write:
y = (x + 4)*(x - 2)
Expanding that we will get the standard form:
y = x² + 4x - 2x - 8
y = x² + 2x - 8
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1