The correct options here are; A, B,
Here, we want to select the equations where x = 4 is a solution
To do this, we have to solve the equations
We proceed as follows;
\(\begin{gathered} a)\frac{16}{x}=\text{ 4} \\ 16\text{ = 4}\times x \\ 4x\text{ = 16} \\ x\text{ = }\frac{16}{4}\text{ = 4} \end{gathered}\)x = 4 is a solution to this, so, we select it
\(\begin{gathered} b)x^2\text{ = 16} \\ x\text{ = }\sqrt[]{16} \\ x\text{ = + 4 or -4} \end{gathered}\)x= 4 is also a solution, so we select it
\(\begin{gathered} c)\text{ 33-x = 37} \\ 33-37\text{ = x} \\ x\text{ = -4} \end{gathered}\)x = 4 is not a solution here, so we do not select it
\(\begin{gathered} d)\text{ 16 = 4x} \\ x\text{ = }\frac{16}{4} \\ x\text{ = 4} \end{gathered}\)x = 4 is a solution here, so we select it
\(\begin{gathered} e)\text{ 2(2+x) = 8} \\ 2+x\text{ = }\frac{8}{2} \\ 2+x\text{ = 4} \\ \text{ x = 4-2 = 2} \end{gathered}\)x = 4 is not a solution here, so we do not select it
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
The function
f(x) = 5sqrt(x + 13) + 5 has an inverse f ^ - 1 * (x) defined on the domain x < 5 Find the inverse. x >= - 13
The inverse function: \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)
The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.
What is a function?A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.
Given function is; \(f(x) = 5\sqrt{(x + 13)} + 5\)
To find the inverse of the given function, we first replace f(x) with y:
⇒ \(y = 5\sqrt{(x + 13)} + 5\)
Subtract 5 from both sides:
⇒ \(y -5 = 5\sqrt{(x + 13)}\)
⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)
⇒ \((\frac{y -5}{5} )^{2} = x + 13\)
⇒ \((\frac{y -5}{5} )^{2} -13 = x\)
Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:
f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)
The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.
We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.
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PLEASE HELP WITH THESE QUESTIONS
Answer:
did u get the answers to this exam?
Step-by-step explanation:
i need help asap it is homework
Answer:
See below.
Step-by-step explanation:
Hello!
The topic we should review for this problem is Order of Operations.
What is Order of Operations?
Order of Operations is a rule that identifies which part of an equation should be simplified first.
You might've heard of PEMDAS, where;
P for Parentheses, always first unless there's an exponent inside.
E for Exponent, simplified after the Parentheses.
M or D - Multiplication or Division after the Exponent(s).
A or S - Addition or Subtraction after Multiplication or Division.
\((5+3^2)+18\)
First we know that there's an Exponent inside the Parentheses, so we must evaluate that number first.
\((5+9)+18\)
Next, evaluate what's in the Parentheses.
\(14+18\\32\)
Our correct answer is 32.
We are asked what mistake did Raquel make, and what's the correct simplified version of the expression.
1a.) Raquel's mistake is combining unlike terms. It's impossible to combine together a natural number (5) and an exponential number. (3²)
1b.) The correct simplified version of the expression is represented here;
\((5+9)+18\\(First \ Step)\)
please help fast!! :)))
Answer:
2.388,16
Step-by-step explanation:
the usher at a wedding asked each of the 808080 guests whether they were a friend of the bride or of the groom. here are the results
The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.
What is the probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Total Number of Guests which forms the Sample Space, n(S)=80
Let the event (a friend of the bride) =A
Let the event (a friend of the groom) =B
n(A) =59
n(B)=50
Friends of both bride and groom,
So,
n(A∪B)=n(A)+n(B)-n(A∩B)
n(A∪B)=59+50-30
n(A∪B)=79
The number of Guests who was a friend of the bride OR of the groom = 79
Thus,
P(A∪B)=n(A∩B)/n(S)
= 79/80
= 0.9875
Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
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Find the value of x, then find EF.
3x + 5
7x - 39
X=
EF=
Answer:
x = 8.8
EF = 22.6
Step-by-step explanation:
The given figure is of a rectangle.
We know that the opposite sides of a rectangle are parallel and equal.
So,
3x+5 = 7x-393x-7x = -39-5-5x = -44x = -44/-5x = 8.8Now, finding EF
7x-397×8.8-3961.6-3922.6please help asap!!!!
Answer:
34.93
Step-by-step explanation:
ummm its the answer
A pilot is flying in airplane at an average altitude of 32000' above the ground due to strong winds the pilot decides to fly 4000' lower to avoid excessive turbulence it takes a pilot 3.5 minutes to make this adjustment interpret the quotient to describe the rate of change in the plane's altitude give your answer to the nearest hundredth. The quotient that best represents the rate of change in the planes altitude is ___ fett/minute.
The rate of change in the plane's altitude is -1,142.9' per minute.
How to get the rate of change in the altitude?The rate of change in the altitude will be given by the quotient between the change in altitude and the time in which the change happens.
Here the change in altitude is -4000', because we know that the phe pilot decides to fly 4000' lower to avoid excessive turbulence, and he does this in 3.5 minutes, then the rate of change is:
R = -4000'/3.5 min = -1,142.9'/min
So the rate is -1,142.9' per minute.
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Please help me for 15 points
mr.Lloyd wants to buy a new television but does not have enough money in his bank account to pay for once which of these is not an option for mr.Lloyd
Mr. Lloyd could use his credit card to buy the TV. Therefore, option A is the correct answer.
Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.
Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.
Therefore, option A is the correct answer.
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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?
A) He can use his credit card to buy the television now.
B) He can save money and pay cash for the television at a later date.
C) He can use his debit card to buy the television now.
D) He can save money and use his debit card to buy the television at a later date.
The question is one the picture
Answer:
y=-1/2x+4
Step-by-step explanation:
The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).
y = 4cos pi * x + 3
It’s asking me for the function’s transformations I already have vertical stretch and and horizontal shrink there is one last one and the options are:
Translation right 3
-
Translation down 3
-
Translation up 3
-
Translation left 3
9514 1404 393
Answer:
Translation up 3
Step-by-step explanation:
Adding 3 to the function value translates its graph up 3 units.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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PLEASE HELP ASAP GEOMETRY 20 PTS REAL ANSWERS ONLY
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 8.1 in.
b = 13.3 in.
c = 16.2 in.
A = 31.9°, B = 52.8°, C = 95.3°
No triangle satisfies the given conditions.
A = 29.9°, B = 54.8°, C = 95.3°
A = 27.9°, B = 54.8°, C = 97.3°
I think it might be B
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
Joan can mow a 7- acre field in 5 hours. How long would it take her to mow a 5.6- acre field?
Answer:4 hours
Step-by-step explanation:
7 divided by 5= 1.4
1.4x4=5.6
A sample is taken from all teen drivers at a high school. They are given a
survey that includes the question, "Do you ever engage in the illegal activity of
texting while driving?" What is this an example of?
OA. Nonselection bias
OB. Nonresponse bias
C. Selection bias
OD. Response bias
The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C
How to determine what type of exampleSelection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.
In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.
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pls helppppppppppppp❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
9514 1404 393
Answer:
C. (1, -1)
Step-by-step explanation:
Dilation by a factor of 1/3 multiplies each coordinate value by 1/3.
(x, y) ⇒ (x/3, y/3)
K(3, -3) ⇒ K'(3/3, -3/3) = K'(1, -1)
CONVERT 4 1/2 TO A DECIMAL PLEASE I NEED THIS RN
Answer:
4.5
Step-by-step explanation:
1/2 of one is 0.5
add it to 4
4+ 0.5=4.5
A type of battery-operated led lights has a known mean lifetime 7.9 hours with standard deviation 0.5. Assuming that the lifetimes of these led lights have a nearly symmetric/bell-curve distribution, find the percent (%) of these led lights having lifetime between 7.9 and 8.9 hours.
Answer:
47.5% of these led lights have lifetime between 7.9 and 8.9 hours.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.9 hours
Standard deviation = 0.5 hours
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Lifetime between 7.9 and 8.9 hours:
7.9 hours is the mean.
8.9 = 7.9 + 2*0.5
So 8.9 hours is two standard deviations above the mean.
Of the 50% of the measures that are above the mean, 95% are between the mean of 7.9 and two standard deviations above the mean(8.9). So
0.5*0.95 = 0.475
47.5% of these led lights have lifetime between 7.9 and 8.9 hours.
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answer:
The answers for edge 2021 is
Step-by-step explanation:
16 and 10
Ganesh is making a scale model of the Space Needle in Seattle, Washington. The space needle is 605 feet tall. If the model is 1/100 the actual size of the Space Needle, how tall is the model? _____ feet
Answer:
\(Model = 6.05ft\)
Step-by-step explanation:
Given
\(Space\ Needle = 605ft\)
\(Scale\ Model = \frac{1}{100}\)
Required
Determine the height of the model.
To do this, we simply multiply the scale model by the height of the space needle.
\(Model = Scale\ Model * Space\ Needle\)
\(Model = \frac{1}{100} * 605ft\)
\(Model = \frac{605ft}{100}\)
\(Model = 6.05ft\)
Hence, the height of the model is 6.05ft
I NEED HELP PLS HELP ME ASAP!!! I'LL GIVE YOU 100 POINTS!
Answer:
189 sq mm
Step-by-step explanation:
area = (21×18)/2 = 189 sq mm
!!!URGENT!!!
In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.
The photo attached shows the possible answers.
Answer:
C
Step-by-step explanation:
Two equations and workout the answer
Which is equal to 3 x 2-4
Answer:
2
Step-by-step explanation:
Answer:
the correct answer is 2
Step-by-step explanation:
hope you have a great day -TJ
may i pls have brainliest thank you
If figure f is rotated 180 degrees and dilated by a factor of 1/2 which new figure could be produced
Choose either yes or no to tell if each of the following represents 0.87.
Answer:
yes, no, yes, yes
Step-by-step explanation:
A=.87
B=.15
C=.87
D=.87
Maggie has a 2-gallon pitcher of lemonade. How many liters of lemonade did she make?
I'LL GIVE BRAINLIEST!
Answer:
2 gallons converted to liters is 7.57 or 8 liters rounded
The Area of a triangle of a triangle is 135ft. If The height is 15ft. What is the Length of the base?
Answer:
Step-by-step explanation:
The area of triangle is = 135 sq.ft
Height = 15 ft.
Base = ?(To be calculated)
We Know,
Area of triangle = 1/2 * Base * Height
therefore, 135 = 1/2 * base * 15
Base = 135 * 2 / 15 = 18 ft
Answer:
\(18 = b\)
Step-by-step explanation:
Given,
Area of a triangle of a triangle is 135ft.
The height is 15ft.
To Find: Length of the base?
Formula to find the base of a triangle
Area of a Triangle = \(\frac{1}{2}\)\(X\)\(bXh\)
\(135=\frac{1}{2} XbX15\\135=\frac{15}{2} Xb\)
\(\frac{135X2}{15} = b\\\\\frac{270}{15} = b\\18= b\)
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