Answer:
1. (-3, 2) and (-1, 2)
Step-by-step explanation:
Write an expression for which subtracting 5 from an expression would isolate the variable
An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2
What are algebraic expressions?Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.
These expressions are also known to consist of arithmetic operators, which includes;
Floor divisionDivisionExponentiationAdditionMultiplicationSubtraction, etcFrom the information given, we have to subtract five from an expression to isolate the variable
Now, let's us the algebraic expression;
-9x + 5 = x + 2
Let's subtract 5 from both sides of the equation, we get;
-9x + 5 - 5 = x + 2 - 5
add and subtract the like terms
-9x + x = -3
-8x = -3
x = 3/8
Hence, the expression is -9x + 5 = x + 2
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The circumference of a circle is 2\piπ m. Find its radius, in meters.
Answer:
r≈0.32Step-by-step explanation: please give brainlest
what letter is used to represent scale factor ?
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
A students regular desk is 30 inches long and 18 inches wide. The teachers desk is similar to the student desk and has a length of 50 inches. What is the width of the teachers desk?
Answer:
Width of Teacher desk = 30 in
Step-by-step explanation:
Given:
Length of student desk = 30 in
Width of student desk = 18 in
Length of teacher desk = 50 in
Find:
Width of Teacher desk
Computation:
Assume,
Width of Teacher desk = x
Teacher desk is similar to student desk
Length of student desk / Width of student desk = Length of teacher desk / Width of Teacher desk
30 / 18 = 50 / x
x = [(50)(18)] / 30
Width of Teacher desk = 30 in
a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y
Answer:
8 , 7 , 6 , 5 , 4 , 3
Step-by-step explanation:
Insert your x into the equation, then simplify for y.
US 90 According to the American Automobile Association (AAA), 9.35 of Americans plan to travel by car over the next holiday weekend and 88.6% plan to stay home. What is the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend? P travel by car or stay home) 0.0897 This probability does not equal 1 because some Americans traveled by other means
The probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend given the information that 9.35% of Americans plan to travel by car and 88.6% plan to stay home. The probability of staying home or traveling by car over the next holiday weekend is given by the addition of probabilities of these events.
P(stay home or travel by car) = P(stay home) + P(travel by car)P(stay home or travel by car) = 0.886 + 0.0935P(stay home or travel by car) = 0.9795Therefore, the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend is 0.9795.
The value of probability does not equal 1 because some Americans traveled by other means.
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The radius of a circle is 2 feet. What is the circle's circumference?
Use 3.14 for л.
feet
Answer:
12.56 feet
Step-by-step explanation:
The formula to find the circle's circumference is
C = 2 · π · r
r = 2 feet
π = 3.14
Let's solve
2 · 3.14 · 2 = 12.56 feet
So, the circle's circumference is 12.56 feet
Answer:
12.56 ft
Step-by-step explanation:
Use the formula for the circumference of a circle:
2 * 3.14 *r
2 * 3.14 * 2
3.14 * 4
12.56 ft
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
Because people live in a world of
they cannot have all the time, money, possessions, and experiences they wish.
A Wealth
B. Affluence
C. Scarcity
D. Abundance
Answer:
c: scarcity
Step-by-step explanation:
help me on this question about slopes
Answer:
m = 2
Step-by-step explanation:
to find the slope you must find (rise)/(run)
the rise is how much it goes up
the run is how much it goes to the right
in this case
it goes up 2 for every 1 to the right
so
(2/1) or just 2 is the slope
which expression finds enzo’s net worth?
Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.
Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)
Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.
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There are five children in a room, ages five, six, eight, nine, and twelve. If two children, ages four and twelve, enter the room, what will happen to the mean and standard deviation of ages
In summary, when the two new children (ages four and twelve) are added to the existing group, the mean age increases from 8 to 8, and the standard deviation changes from its original value to approximately 3.74.
To determine the effect of adding two children (ages four and twelve) to the existing group of five children (ages five, six, eight, nine, and twelve) on the mean and standard deviation of ages, we need to calculate the new values.
Let's calculate the mean first:
Calculate the sum of the ages of the initial five children:
5 + 6 + 8 + 9 + 12 = 40
Add the ages of the two new children:
40 + 4 + 12 = 56
Calculate the new mean by dividing the sum by the total number of children (5 initial + 2 new):
56 / 7 = 8
Therefore, the new mean age is 8.
Now let's calculate the standard deviation:
Calculate the squared difference between each age and the mean for the initial five children:
\((5 - 8)^2 + (6 - 8)^2 + (8 - 8)^2 + (9 - 8)^2 + (12 - 8)^2 = 54\)
Calculate the squared difference between each new age and the new mean:
\((4 - 8)^2 + (12 - 8)^2 = 80\)
Calculate the sum of the squared differences for the initial five children and the new children:
54 + 80 = 134
Divide the sum of squared differences by the total number of children (5 initial + 2 new) and take the square root:
√(134 / 7) ≈ 3.74
Therefore, the new standard deviation is approximately 3.74.
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Work out the value of x.
Answer:
The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.
Step-by-step explanation:
A brand of chocolate bar has a stated weight of 6 oz. with s= 0.25 oz. A sample of 9 bars has an average weight of 6.05 oz.
Test H0: µ = 6 oz. H1: µ ≠ 6 oz. at the 5% significance level.
Given a sample of 9 chocolate bars with an average weight of 6.05 oz and a stated weight of 6 oz with a standard deviation of 0.25 oz.
We need to test hypotheses H0: µ = 6 oz and H1: µ ≠ 6 oz at the 5% significance level. To test the hypotheses, we can use a t-test since the population standard deviation is unknown and we have a sample size of less than 30. The t-test statistic is calculated as (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size)).
In this case, the sample mean is 6.05 oz, the hypothesized mean is 6 oz, the sample standard deviation is 0.25 oz, and the sample size is 9. The calculated t-value is (6.05 - 6)/(0.25/sqrt(9)) = 1.8. Now, we compare the calculated t-value with the critical t-value at the 5% significance level for an 8-degree of freedom (df = sample size - 1). Assuming a two-tailed test, the critical t-value is approximately ±2.306.
Since the calculated t-value of 1.8 is within the range of -2.306 to 2.306, we fail to reject the null hypothesis H0. There is not enough evidence to conclude that the average weight of the chocolate bars is different from 6 oz at the 5% significance level. In other words, the sample data does not provide sufficient evidence to support the claim that the average weight of the chocolate bars deviates significantly from the stated weight of 6 oz.
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A pulley is on the edge of a dock, 10 feet above the water level. A rope is being used to pull in a boat. The rope is attached to the boat at water level. The rope is being pulled in at the rate of 3 feet per second. Find the rate at which the boat is approaching the dock at the instant the boat is 2 feet from the dock.
The boat is approaching the dock is 3 feet per second at the instant the boat is 2 feet from the dock.
Given that a pulley is on the edge of a dock, 10 feet above the water level.
A rope is being used to pull in a boat. The rope is attached to the boat at water level. The rope is being pulled in at the rate of 3 feet per second.
We need to find the rate at which the boat is approaching the dock at the instant the boat is 2 feet from the dock.
Let the distance between the boat and the dock be y and the length of the rope be x.
Therefore, y + 10 = x
Now, we have to find the rate at which the boat is approaching the dock at the instant the boat is 2 feet from the dock. We need to differentiate the above equation with respect to time.
We have the rate of change of the distance between the boat and the dock with respect to time.
Therefore, we get d(x) / d(t) = d(y + 10) / d(t)
Or, \(dx/dt = dy/dt\) ---------(1)
Now differentiate y + 10 = x with respect to time to get the value of dy/dt
We get \(dy/dt + 0 = dx/dt\)
Or, \(dy/dt = dx/dt\)------------- (2)
Substitute equation (2) in equation (1), we get
\(dx/dt = dy/dt = 3\) feet per second.
This means that the rate at which the boat is approaching the dock is 3 feet per second at the instant the boat is 2 feet from the dock.
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let f be the function with derivative given by f'(x) = sin(x2 − 3). at what values of x in the interval −3 < x < 3 does f have a relative maximum?A) -1.732 and 2.478 only B) -2.478 and 1.732 only C) 2.138, 0,and 2.138 D) -2.478 -1.732, 1.732, and 2.478
The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.
To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).
To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0
x² − 3 = nπ, where n is an integer
x² = nπ + 3
x = ±√(nπ + 3)
We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:
n = 0: x = ±√3 ≈ ±1.732
n = 1: x = ±√(π + 3) ≈ ±2.478
n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)
So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.
To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.
At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.
At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.
At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.
At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.
Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.
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How do you solve verifying identity with calculator?
Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer.
The equation is typically written in algebraic form and includes numerical values.Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer. For example, if an individual is asked to verify the identity \(sin^2x + cos^2x\)= 1, they will be given numerical values to plug into the equation. For example, if they are given x = 60, they would enter\((sin60)^2 + (cos60)^2\) into the calculator and solve. This should result in an answer of 1, proving the equation is accurate.
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80 middle-school students went on a field trip to watch a performance of Alice In Wonderland. When the teacher took a survey, 70% of the students responded that they enjoyed the play. About how many students enjoyed the play?
Answer:
56 students
Step-by-step explanation:
Because there are 80 students and only 70% enjoyed it, 70% is equal to 0.7 so you would multiply 80 by 0.7.
A tabletop in the shape of a trapezoid has an area of 5,994 square centimeters. Its longer base measures 131 centimeters, and its shorter base is 85 centimeters. What is the height?
The height of the tabletop is ___ centimeters. Please help this is due soon
To find the height of the trapezoid-shaped tabletop, we can use the formula for the area of a trapezoid.
Given that the area is 5,994 square centimeters, the longer base is 131 centimeters, and the shorter base is 85 centimeters, we can calculate the height of the trapezoid.
The formula for the area of a trapezoid is given by A = (1/2) × (b1 + b2) × h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
We are given that the area is 5,994 square centimeters, the longer base is 131 centimeters, and the shorter base is 85 centimeters.
Substituting these values into the formula, we can solve for the height:
5,994 = (1/2) × (131 + 85) × h
Simplifying the equation:
5,994 = (1/2) × 216 × h
5,994 = 108h
Dividing both sides by 108:
h = 5,994 / 108
h = 55.5
Therefore, the height of the tabletop is 55.5 centimeters.
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What beat frequencies, in hertz, will be present in the following situations?
Part (a) The musical notes A and C are played together (frequencies of 220 and 264 Hz).
Part (b) D and F are played together (frequencies of 297 and 352 Hz).
Part (c) An out of tune low C (132.1 Hz) and middle C (264 Hz) are played.
(a) There will be a beat frequency of 44 Hz present.
(b) There will be a beat frequency of 55 Hz present.
(c) There will be a beat frequency of 131.9 Hz present.
Beat frequencies are the differences in frequencies between two sound waves that are played together. When two sound waves with slightly different frequencies are played simultaneously, they interfere with each other, resulting in a periodic variation in the loudness or intensity of the combined sound. This variation is perceived as a pulsating or beating sound, which is known as the beat frequency.
The beat frequency is calculated by subtracting the frequency of one sound wave from the frequency of the other.
The beat frequency can be calculated by taking the difference between the two frequencies, which is 44 Hz in this case (264-220=44).
The beat frequency is again the difference between the two frequencies, which is 55 Hz (352-297=55).
The beat frequency is again the difference between the two frequencies, which is 131.9 Hz (264-132.1=131.9).
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A field was divided into wheat, barley and sugar beet in the ratio 4:2:6, the
next year 1/3 of the beet was replaced with wheat. What is the new ratio of
the field?
Answer:
4:4:4
Step-by-step explanation:
1/3 of the beet was replaced with wheat => 6 x 1/3 = 2
The new ratio will be 4 : (2+2) : (6-2) = 4:4:4
Antoine has a job that earns $18 per hour worked with a $150 sign-on bonus for starting the job.
Let x represent the number of hours Antoine works, and y represent the resulting earnings from his job. Enter an equation that describes this situation and shows y as a function of x.
Answer: y=18x+150
You would make sure x was for x since that's the amount she gets paid per hour, and you would add 150 to it because that's her sign on bonus, the total would be represented by y.
what are different solutions of 1x +2y = 12
Answer:
x=12, y=6
Step-by-step explanation:
Very simple!
Just substitute 0 for y and solve for x!
\(x+2(0)=12\) (anything times 0 equals 0!)
\(x=12\)
Now you can do the same thing but substitute 0 for x!
\(0+2y=12\)
\(y=6\)
Hope this helps!
Answer:
x=12, y=6
Step-by-step explanation:
I smart
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A marketing sales professional makes a base salary of $1,000 per month. The marketing sales professional
earns an additional 5% of total sales for the month. If the marketing sales professional earned $2,130 in a month, write an equation to model this situation if x represents the total sales for the month
The equation that represents the total sales for the month is given as follows:
y = 0.05x + 1000.
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which:
The slope m represents the commission.The intercept b represents the base salary.The parameters for this problem are given as follows:
b = 1000, m = 0.05.
Hence the function is defined as follows:
y = 0.05x + 1000.
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HELP HELP HELP HELP LOOK AT PICTURE
Answer:
It’s 2.5 minutes per mile
Step-by-step explanation:
Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.
this poll was shown in july 2018. it shows a moe (margin of error) of 3%, or 0.03. it shows poll results of issues that millennials care about most: jobs/economy 25%, immigration 17%, healthcare 16%, education 16%, environment 12%. what is the upper limit of the confidence interval for the proportion of millennials that care about immigration? write your answer as a proportion (decimal) and not as a percent. do not round.
The upper limit of the confidence interval for the proportion of millennials that care about immigration is 0.20.
In order to find the upper limit of the confidence interval for the proportion of millennials that care about immigration,
we first need to calculate the confidence interval using the margin of error (MOE) and sample proportion.
The formula to find the confidence interval is given by:
Confidence Interval = Sample Proportion ± Margin of Error (MOE)
Where Sample Proportion = Poll Result / 100
Let's first find the Sample Proportion of millennials that care about immigration.
Sample Proportion = Poll Result / 100= 17 / 100= 0.17
Now let's calculate the confidence interval using the MOE.
Confidence Interval = Sample Proportion ± Margin of Error (MOE)
Upper Limit of Confidence Interval = Sample Proportion + MOE= 0.17 + 0.03= 0.20
Therefore, the upper limit of the confidence interval for the proportion of millennials that care about immigration is
0.20.
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what is the rational number halfway between -4 and - 7/2
Answer:
-3.75
Step-by-step explanation:
In order to find the rational number between -4 and -7/2, we need to follow two simple steps. (Same as finding the average).
1. Add the two numbers together
2. Divide the sum of them by 2
And there! You get the midpoint! :D
Now, let's solve... -4 - 7/2 = -7.5 <-- Adding them together
-7.5 / 2 = -3.75 <-- Dividing the sum by two and getting the result
After adding the numbers together and dividing them, we got -3.75 as the midpoint!
Formula for a area of a circle
Answer:
A=(pie) r^2
Step-by-step explanation:
A = Area
(pie) = 3.14
r^2 = (r is the radius)
Answer:
pi r^2
Step-by-step explanation:
That is your answer
A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. One of the expressions should use only a single multiplication and no other operations.
Answer:
7% of 45=3.15 and 3.15= 7% of 45
Step-by-step explanation:
The final cost of the book is, 45-7% of 45=41.85 and
41.85= 45-7% of45.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A book costs $45.
Sales tax on the book is 7%.
So, the final cost =$45-$( 7% of 45)
=$45-3.15
=$41.85
Hence, The final cost of the book is, 45-7% of 45=41.85 and
41.85= 45-7% of45.
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