Answer: x = -1 , 3 , -1-2i , -1+2i
Step-by-step explanation:
Yes
What is 17x5.8 show your work
Answer: 98.6
Step-by-step explanation:
5.8 can be broken down into 5 & 0.8
17 timed 5 = 85
17 timed 0.8 = 13.6
85+13.6 = 98.6
What 2D shape is formed by slicing a square pyramid horizontally?
A circle
B rectangle
C triangle
D) square
Answer:
B, Rectangle.
Statistics
Ethan repairs household appliances such as dishwashers and refrigerators. For each visit, he charges $25 plus $20 per hour of work. A linear equation that expresses the total amount of money Ethan earns per visit is y = 25 + 20x. What are the independent and dependent variables? What is the y-intercept, and what is the slope? Interpret them using complete sentences.
Jenny works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $7.70 an hour for babysitting. How
much will she earn for 1 hour of mowing and 3 hours of babysitting?
Answer:
$31.90
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
Learn more about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
Write as many mathematical expressions or equations as you can about the image. Include a fraction, a decimal number, or a percentage in each. FUNDRAISER OUR GOAL: $250,000 $250,000 $200,000 $150,000 $100,000 - $50,000 O
The mathematical expressions or equations about the image 44%, 0.44 and 11/25
Writing the mathematical expressions or equations about the imageFrom the question, we have the following parameters that can be used in our computation:
The fundraiser image (see attachment)
From the image, we have the following readings
Total amount to be raised = $250,000
Amount already raised = $110,000
When represented as a percentage, we have
percentage = 110,000/250,000 * 100%
Evaluate
percentage = 44%
As a fraction, we have
percentage = 44/100 = 11/25
As a decimal, we have
percentage = 0.44
Hence, the mathematical expressions about the image are 44%, 0.44 and 11/25
Read more about expressions at
https://brainly.com/question/15775046
#SPJ1
The rolume V, in liters, of air in the lungs during a 5-second sespiratory cycle is approximoted by V=.1729t+ .1522t^2 −.0374t^2
where t is time in seconds. Appoximate the awriage volune of air in the lengs during one cycle.
Therefore, the approximate average volume of air in the lungs during one respiratory cycle is 1.4825 liters.
To approximate the average volume of air in the lungs during one respiratory cycle, we need to find the average value of the function V(t) over the interval from 0 to 5 seconds. The average value of a function f(x) over an interval [a, b] is given by:
Average value = (1 / (b - a)) * ∫[a, b] f(x) dx
In this case, we have \(V(t) = 0.1729t + 0.1522t^2 - 0.0374t^3\), and we need to find the average value over the interval [0, 5].
Average value = (1 / (5 - 0)) * ∫[0, 5] \((0.1729t + 0.1522t^2 - 0.0374t^3) dt\)
Evaluating the integral, we get:
Average value = (1 / 5) * \([0.08645t^2 + 0.05073t^3 - 0.00935t^4]\)evaluated from 0 to 5
Average value = (1 / 5) * \([(0.08645 * (5)^2 + 0.05073 * (5)^3 - 0.00935 * (5)^4) - (0.08645 * (0)^2 + 0.05073 * (0)^3 - 0.00935 * (0)^4)]\)
Simplifying further, we have:
Average value = (1 / 5) * [1.08125 + 6.33125 - 0] = (1 / 5) * 7.4125
Average value = 1.4825
To know more about volume,
https://brainly.com/question/19594075
#SPJ11
Determine the intercepts of the line.
Do not round your answers.
y=6x+13y=6x+13
Answer: X= -2.1667 Y= 13
a right conical tank with the point oriented down, a height of 14 feet, and a radius of 6 feet has sprung a leak. how fast does the depth of water change when the water is 2 feet high if the cone leaks water at a rate of 13 cubic feet per minute?
The depth of water changes at a rate of -13/72π feet per minute when the water is 2 feet high.
To begin, we must use the formula for the volume of a cone, which is given as:
V = 1/3πr2hwhere V represents the volume, π represents the constant pi, r represents the radius, and h represents the height.
Substituting the given values into the formula, we get:
V = 1/3π (6 ft)2(14 ft)V = 1/3π (36 ft2) (14 ft)V = 1/3π (504 ft3)V = 168π ft^3
Now, we must determine the rate at which water is leaking. It is given that the cone leaks water at a rate of 13 cubic feet per minute. This implies that the volume of the water reduces by 13 cubic feet every minute. Therefore, the rate of change of the volume of water is -13 cubic feet per minute. Here, the negative sign indicates a decrease in the volume of water.
Now, we must find how fast the depth of water changes when the water is 2 feet high. Let d represent the depth of water. Then, the volume of water is given as:
V = 1/3πr^2d
We know that when d = 2 ft, V = 1/3π(6 ft)2(2 ft)
V = 8π ft^3
Now, we must determine how fast the volume of water is changing with respect to time when d = 2 ft. We differentiate the expression for V with respect to time to get:
dV/dt = (d/dt)[1/3πr2d]
dV/dt = 1/3πr^2(d/dt)[d]
dV/dt = 1/3πr^2(d/dt)[2]
dV/dt = 2/3πr^2
The rate of change of the volume of water with respect to time is given as -13 cubic feet per minute. Therefore, substituting this into the expression above, we get:
-13 = 2/3π(6 ft)2(d/dt)
When we simplify the above equation, we get:
d/dt = -13/72π
Therefore, when the water is 2 feet high, the depth of the water changes at a rate of -13/72π feet per minute.
To know more about volume: https://brainly.com/question/12410983
#SPJ11
Mona's new bicycle weighs 1812 pounds.
Weight Equivalent
1 kg = 2.2 pounds
Using the table above, about how many kg does her bike weigh?
A
8
B
16
C
41
D
84
answer
B.16PO _^^ PLSPLSPlease help w number 13!! 30 points
Answer:
The bake sale raised $159.75
Step-by-step explanation:
The cartesian plane is divided into four regions, or -__________
The cartesian plane is divided into four regions, or quadrants. Each quadrant is labeled based on the signs of the x and y coordinates of points within it. The quadrants are referred to as the first quadrant, second quadrant, third quadrant, and fourth quadrant.
Each quadrant is defined by the signs of the x and y coordinates of points within it. The four quadrants are labeled as follows:
First Quadrant (+, +): This quadrant is located in the upper right portion of the Cartesian plane. It contains points with positive x-coordinates (to the right of the origin) and positive y-coordinates (above the origin). In this quadrant, both x and y values are positive.
Second Quadrant (-, +): Positioned in the upper left portion of the coordinate plane, this quadrant contains points with negative x-coordinates (to the left of the origin) and positive y-coordinates (above the origin). Here, x values are negative, while y values remain positive.
Third Quadrant (-, -): Found in the lower left part of the Cartesian plane, this quadrant consists of points with negative x-coordinates (to the left of the origin) and negative y-coordinates (below the origin). In the third quadrant, both x and y values are negative.
Fourth Quadrant (+, -): Situated in the lower right section of the coordinate plane, this quadrant contains points with positive x-coordinates (to the right of the origin) and negative y-coordinates (below the origin). Here, x values are positive, while y values are negative.
These quadrants provide a systematic way to locate and identify points in the Cartesian plane, facilitating mathematical operations, graphing functions, and analyzing geometric relationships. Each quadrant has its own unique characteristics and significance in various mathematical applications.
learn more about cartesian plane here
https://brainly.com/question/27927590
#SPJ11
(Please help asap, Thank you!)
Tides are caused by the pull of gravity by the _____ and the _____.
A. oceans
B. seas
C. sun
D. moon
Answer:
Tides are formed by the pull of gravity from both the sun and the moon so C&D would be correct
Step-by-step explanation:
find the range of values of k such that the equation kx^2-2kx + 6 = 0 has no real roots
The value of k should be less than 6.
Define equation? What is Equation Modelling? What is quadratic equation?
Equation is defined as a relation that equates two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. A quadratic equation is of the form -
ax² + bx + c = 0.
Given is the quadratic equation as -
kx² - 2kx + 6 = 0
For no real roots, We can write -
b² - 4ac < 0
(-2k)² - 24k < 0
4k² - 24k < 0
k(4k - 24) < 0
k < 0 and 4k - 24 < 0
k < 0 and k < 6
k < 6
Therefore, the value of k should be less than 6.
To solve more questions on quadratic equation , visit the link below-
https://brainly.com/question/1863222
#SPJ1
creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
Let us know more about problem-solving : https://brainly.com/question/31606357.
#SPJ11
Angle C and angle D are consecutive angles in between two parallel lines cut by a transversal. If m∠C = (3x + 1)°, and the m∠D = (2x + 9)°, then what is x
A. X=8
B. X=34
C. Cant be determined
D.X=21.25
The value of x from the given condition is 34. Therefore, option B is the correct answer.
Given that, m∠C = (3x + 1)° and m∠D = (2x + 9)°.
What are consecutive angles in between two parallel lines?Consecutive angles lie along the transversal, both angles will always be on one side of the transversal, and they'll either both be inside the parallel lines or outside the parallel lines (interior or exterior angles, respectively). Consecutive angles are always supplementary if the transversal crosses parallel lines.
Since, consecutive angles are always supplementary, we get
(3x + 1)°+(2x + 9)° =180°
⇒ 5x+10=180
⇒ 5x=170
⇒ x=34
The value of x from the given condition is 34. Therefore, option B is the correct answer.
Learn more about the parallel line angles here:
https://brainly.com/question/17237586.
#SPJ1
What's More
Activity 1: Missing You!
Fill in the blank of the given equation. Write your answers on your answer sheet.
1. a² + 12a + 11 = (a + )(a + 11)
2. b² + 6b + 8 = (b + 2)(b+)
3. c² - 7c + 6 = (c-___) (c-1)
4. 2x² – 3x - 9 = (___x+3)(x-3)
5. 3x² + 5x - 2 = (___x - 1)(x+2)
For a normal population with an average of 60 and a standard deviation of 12 what is the probability of selecting a random sample of 36 scores with a sample mean greater than 64
The probability of obtaining a z-score of 2 or greater is 0.0228.This means that the probability of getting a sample mean greater than 64 is 0.0228, or 2.28 percent.
Probability can be defined as the measurement of how likely an event is to occur. Probability values can range from 0 to 1, with 0 indicating an impossible event and 1 indicating a certain event. Probability is usually expressed as a fraction, decimal, or percentage. The central limit theorem, which states that sample means from random samples of a population with a normal distribution are themselves normally distributed, is used to solve problems like this.
When dealing with probability calculations, this is a vital theorem to remember because it saves us a lot of time and makes calculations a lot simpler. When looking for the probability of getting a sample mean greater than 64 from a sample of 36
To know more about probability visit:-
https://brainly.com/question/31828911
#SPJ11
Identify the explanatory variable and the response variable. A farmer wants to determine if the temperature received by similar crops can be used to predict the harvest of the crop. The explanatory variable is the ▼ (harvest of the crop, farmer, temperature) .The response variable is the ▼ (farmer ,harvest of the crop ,temperature)
The explanatory variable is temperature, as the farmer wants to use it to predict the harvest of similar crops.
The response variable is the harvest of the crop, as this is the variable that is being predicted by the temperature. In this scenario, the explanatory variable is the temperature, as it is being used to predict the outcome. The response variable is the harvest of the crop, as it is the outcome that the farmer wants to understand based on the explanatory variable. Your answer: The explanatory variable is the temperature. The response variable is the harvest of the crop.
To know more about temperature visit:
https://brainly.com/question/7510619
#SPJ11
research conducted a few years ago showed that 12% of uw-platteville students had traveled outside the us. uw-platteville has recently implemented a new study abroad program and results of a new survey show that out of the 100 randomly sampled students 35 have traveled abroad. to know if the proportion of students at uw-platteville who have traveled abroad has increased after the implementation of the study abroad program, what is the appropriate null and alternative hypothesis?
The null hypothesis is that the proportion of students who have traveled abroad is still 12%, while the alternative hypothesis is that the proportion has increased and is now greater than 12%.
The appropriate null hypothesis is that the proportion of students at UW-Platteville who have traveled abroad remains the same as before the implementation of the study abroad program. The alternative hypothesis is that the proportion of students who have traveled abroad has increased after the implementation of the program.
Mathematically:
H0: p = 0.12
Ha: p > 0.12
where p is the true proportion of students at UW-Platteville who have traveled abroad.
To test this hypothesis, we can use a one-tailed z-test for proportions. Using the given sample information, we can calculate the test statistic as:
z = (0.35 - 0.12) / sqrt((0.12 * 0.88) / 100) = 3.87
where 0.88 is the complement of 0.12, and sqrt denotes the square root. The critical value for a one-tailed test at the 0.05 level of significance is 1.645.
Since the test statistic (3.87) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level to support the claim that the proportion of students who have traveled abroad has increased after the implementation of the study abroad program.
Learn more about null hypothesis
https://brainly.com/question/28920252
#SPJ4
Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?
Answer:
3 hours
Step-by-step explanation:
it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.
Answer:
The total is 3 hours
Hope this help! good luck :)
NEED HELP
A. 7 inches
B. 49 inches
C. 91 inches
D. 119 inches
Answer:
cute ko hahahahahahahahahahahahahaha
AE=EC and BF = FC
M
EF=10
M
Answer:
92
Step-by-step explanation:
E is the midpoint of AC.
F is the midpoint of BC.
FE and AB are parallel by a theorem.
m<DBF = m<EFC = 92 by corresponding angles of parallel lines cut by a transversal.
Answer:
92°
Step-by-step explanation:
√a²-b² +√2ab-b² >a giúp với huuuuuuuuuuuuuuuuuuuuuuu
Step-by-step explanation:
버터처럼 부드럽게
True or false 81^3/2 =9
Answer:
lets solve it.
Taking LHS:
81^3/2=(81*81*81)/2
531,441/2
265,720.5
Now comparing RHS and LHS
265,720.5 & 9
and they are not equal, thus false.
find the length of the longest object that will fit inside a cylinder that has a radius of 21 4 inches and is 6 inches high.
Longest object that will fit inside a cylinder will have 12.1 inches.
Lets try to determine the length of the longest object that will fit inside a cylinder with a radius of 21/4 inches and a height of 6 inches,
We will first calculate the diameter and then the diagonal of the cylinder. Afterward, we will calculate the length of the longest object that can be fitted inside the cylinder.
Calculating the diameter
The diameter of a cylinder is double the radius.
Hence, d = 2r, where d is the diameter and r is the radius.
Therefore,
d = 2(21/4)= 42/4= 10.5 inches where r =21/4
The diagonal of a cylinder can be calculated by finding the length of the diagonal of a rectangle with length equal to the height and width equal to the diameter. Since the height of the cylinder is given as 6 inches, and the diameter is 10.5 inches, we can determine the diagonal of the rectangle using the Pythagorean theorem.
Diagonal of rectangle = √(Height² + Width²)
Diagonal of rectangle = √(6² + 10.5²) = √(36 + 110.25)
= √146.25 inches ≈ 12.1 inches
Calculating the length of the longest object that can be fitted inside the cylinder-
The longest object that can be fitted inside the cylinder is the diagonal of the cylinder, which is equal to the diagonal of the rectangle
Diagonal of cylinder = diagonal of rectangle = √146.25 inches ≈ 12.1 inches
Therefore, the length of the longest object that will fit inside a cylinder that has a radius of 21/4 inches and is 6 inches high is approximately 12.1 inches.
Learn more about length of the diagonal of cylinder : https://brainly.com/question/21040722
#SPJ11
three point charges of -2.0 µc, 4.0 µc, and 6.0 µc are placed along the x axis as shown below. how much work is required to move a 10 nc charge from infinity to point p (x = 0, y = 0.2 m)?
the work required to move a 10 nC charge from infinity to point P is 4.80 x 10^-4 J.
To calculate the work required to move a charge from infinity to point P, we need to use the formula:
W = q * (ΔV)
where q is the charge being moved and ΔV is the change in electric potential energy.
To calculate the electric potential energy at point P, we need to first calculate the electric potential at point P due to each of the three charges. The electric potential at a point due to a point charge q is given by:
V = k * (q / r)
where k is Coulomb's constant, q is the charge, and r is the distance between the point charge and the point at which the potential is being calculated.
Using this formula, we can calculate the electric potential at point P due to each of the three charges:
V1 = k * (-2.0 µC) / (0.2 m) = -8.99 x 10^9 V
V2 = k * (4.0 µC) / (0.2 m) = 1.80 x 10^10 V
V3 = k * (6.0 µC) / (0.2 m) = 2.70 x 10^10 V
The total electric potential at point P is the sum of the individual potentials:
V = V1 + V2 + V3 = 4.80 x 10^10 V
The change in electric potential energy as the charge is moved from infinity to point P is:
ΔV = V - 0 = 4.80 x 10^10 V
Finally, we can calculate the work required to move the charge:
W = q * ΔV = (10 nC) * (4.80 x 10^10 V) = 4.80 x 10^-4 J
To learn more about infinity visit:
brainly.com/question/22443880
#SPJ11
A telephone company charges a $0.25
connection fee, then $0.10 per minute for
long distance calls. Which statement is
true regarding this situation?
The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.The variables who take their values based on some other variables' values are called dependent variables.The complete question is:
A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?
A. The rate of change is $0.25 and minutes are the independent variable.
B. The rate of change is $0.25 and minutes are the dependent variable.
C. The rate of change is $0.10 per minute and minutes are the independent variable
D. The rate of change is $0.10 per minute and minute are the dependent variable.
The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,
Total Cost = $0.25 + $0.10(x)
Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.
Hence, the correct option is C.
Learn more about Dependent and Independent Variable:
https://brainly.com/question/27795876
#SPJ1
Liz works as a lifeguard at her community pool and at the beach. On Saturday, she worked at the pool for 6 hours and earned $46.50. On Sunday, she worked at the beach for 5 hours and earned $46.25. How much more per hour did Liz earn at the beach than at the pool?
Answer:
$1.50 per hour more then at the pool
Step-by-step explanation:
7.75 per hour at the pool
9.25 per hour at the beach
9.25 - 7.75 = $1.5
1: What is the purpose of having a supplier scorecard? How can a supplier scorecard be used?
Q2: Please analyze the current scorecard, any concerns or issues from the original scorecard? What is
Emily’s concern?
Q3: Please analyze the proposed scorecard, does the proposed scorecard address her concerns
adequately?
Q4: What are the differences between the current scorecard and the proposed scorecard?
Q5: How do you think the suppliers will react to the proposed scorecard? How will the scorecard change
the dynamics of the buyer-supplier relationship?
Q6: Please discuss potential options, recommendations and action.
Purpose of having a supplier scorecard A supplier scorecard is a tool that is used to evaluate the performance of suppliers and to monitor their progress. It helps in the assessment of how well the suppliers are meeting the needs of the buyers and it helps the buyers to decide which suppliers they should continue to work with in the future.
The purpose of having a supplier scorecard is to evaluate the suppliers' performance in terms of quality, delivery, price, and customer service, and to monitor their progress over time. The scorecard can be used to identify areas where suppliers are excelling and areas where they need to improve. Analysis of the current scorecard and concerns Emily’s concern is that the current scorecard is too simplistic and does not provide enough information to make informed decisions about suppliers. The concerns with the current scorecard are that it is too simplistic and does not provide enough information about the supplier's performance. Analysis of the proposed scorecard and its adequacy The proposed scorecard addresses Emily's concerns by providing more detailed information about the supplier's performance in specific areas.
It also includes more metrics for evaluating the supplier's performance. Differences between the current scorecard and the proposed scorecard The proposed scorecard is more detailed and includes more metrics than the current scorecard. It provides more information about the supplier's performance in specific areas. How suppliers will react to the proposed scorecard and the dynamics of the buyer-supplier relationship Suppliers may react negatively to the proposed scorecard if they feel that it is too strict or unfair. The scorecard may change the dynamics of the buyer-supplier relationship by putting more pressure on suppliers to meet certain standards. Potential options, recommendations, and actionSome potential options and recommendations for improving the scorecard include adding more metrics, providing more detailed feedback to suppliers, and revising the scoring system to make it more accurate and fair.
To know more about assessment visit:
https://brainly.com/question/32147351
#SPJ11