Which of the following choices evaluates (-x)2 when x = -1?
N12
1
-2
-1
Answers
The equivalent expression of (-x)² is x². At x = -1, the value will be 1. Then the correct option is B.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (-x)²
Then the expression can be written as
⇒ x²
If x = -1, then the value of the expression will be
(-1)² = 1
Then the correct option is B.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ1
Related Questions
An economist is interested in studying the income of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What is the width of the 90% confidence interval
Answers
Answer:
The width is \(w = 282.8\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The population standard deviation is \(\sigma = \$ 1000\)
The sample size is \(\= x = \$ 15,000\)
Given that the confidence level is 90% then the level of significance can be mathematically represented as
\(\alpha = 100 - 90\)
\(\alpha = 10 \%\)
\(\alpha = 0.10\)
Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table, the value is
\(Z_{\frac{0.10 }{2} } = 1.645\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{0.10}{2} } * \frac{\sigma }{\sqrt{n} }\)
substituting values
\(E = 1.645 * \frac{1000 }{\sqrt{50 }}\)
=> \(E = 141.42\)
The width of the 90% confidence level is mathematically represented as
\(w = 2 * E\)
substituting values
\(w = 2 * 141.42\)
\(w = 282.8\)
The distance between the origin and the point representing the real number.
Answers
Answer: I believe the answer you're looking for is absolute value
I hope this helps!!!
Use the value of x to find the measure of angle 1 x=25
Answers
I’ll just do them both since it’s easier to check.
So to make this easier both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
Answers
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
Learn more about illness on https://brainly.com/question/25476918
#SPJ1
Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles
Answers
Answer:
10 weeks
Step-by-step explanation: 100÷10=10
big brain
Answer:
9 week and 4 days
Step-by-step explanation:
What would be the equation for a line that is perpendicular to a line of Y = 3X +2
Answers
The equation of the perpendicular line is y = -1/3x
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 3x + 2
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 3
This means that the slope is 2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/3
The equation of the line is then calculated as
y = mx
Where
m = -1/3
So, we have
y = -1/3x
Hence, the line has an equation of y = -1/3x
Read more about linear equations at
brainly.com/question/4074386
#SPJ1
24. There are 45 houses in Grey's Lake subdivision. Each house uses 400 gallons of water each day. Write a division equation to represent the total number of gallons of water used daily in Grey's Lake subdivision.
Answers
Answer: 18000/45= gallons used daily
Step-by-step explanation:
400x45=18000
Answer: 18000/45 gallons used daily
Step-by-step explanation: 400x45=18000 gallons
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answers
Answer:
4 pencils
Step-by-step explanation:
Interquartile Range (IQR) = the range of the rectangular box = Third quartile (Q3) - First Quartile (Q)
Third Quartile (Q3) = 6
First Quartile (Q1) = 2
Interquartile Range (IQR) = 6 - 2
Interquartile Range (IQR) = 4 pencils
dean bought 1.75 pounds of swiss cheese from the deli, Then he bought a 24 ounce package of cheddar cheese in the dairy section. Which type of cheese did he have more of
Answers
Answer:
the dean bought more of swiss than cheddar because hee only bought 1.5 pounds of cheddar and 1.7 of swiss
Step-by-step explanation:
The U.S.-based motorcycle manufacturer says that it expects to build 138000 motorcycles this year, up from 125000 last year. Find the percent of increase in production.
Answers
Answer:
10.4%
Step-by-step explanation:
138000-125000=13000
13000/125000 × 100 = 10.4
Tell whether the number is written correctly in scientific notation. 9.9 times 10*-4
Answers
That is the correct number.
I multiplied a number by itself and got 324. What was the
number?
Answers
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
18 times 18 equals 324 and the number 18 is being multiplied by itself
I need help with my math
Answers
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
I poll is given showing 60% are in favor of a new building project if 10 people or chosen at random what is the probability that exactly 7 of them favor the new building project?
Answers
The probability that exactly 7 out of 10 people chosen at random favor the new building project is approximately 0.2010 or 20.10%.
To calculate the probability that exactly 7 out of 10 people chosen at random favor the new building project, we need to use the binomial probability formula, which is:
P(X = k) = \((n choose k) * p^k * (1-p)^(n-k)\)
where:
n = 10 (the number of trials)
k = 7 (the number of successes we want to find)
p = 0.6 (the probability of success)
Using this formula, we can calculate the probability as:
P(X = 7) = (10 choose 7) * \(0.6^7 * (1-0.6)^(10-7)\)
P(X = 7) = (10!/7!3!) * \(0.6^7 * 0.4^3\)
P(X = 7) = 120 * 0.0279936 * 0.064
P(X = 7) = 0.2010 (rounded to four decimal places)
Therefore, around 0.2010 or 20.10% of people like the new building project, which is the probability that exactly 7 out of 10 randomly selected individuals will do so.
To learn more about probability please click on below link
https://brainly.com/question/16484393
#SPJ1
What is (f−g)(x)? f(x)=3x5+6x2−5 g(x)=2x4+7x2−x+16
Answers
Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
(f-g)(x)= 3x⁵-2x⁴-x²+x-21
Step-by-step explanation:
Here we have,
Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
We know,
(f-g)(x)= f(x)-g(x)
= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)
On subtracting g(x) from f(x) we get,
(f-g)(x)= (3x⁵+6x²-5 - 2x⁴-7x²+x-16)
On simplify,
(f-g)(x) =3x⁵-2x⁴-x²+x-21
Hence,
(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21
To see more related questions follow the link:
https://brainly.com/question/30721594
Jaxson drove 4 miles in 1/15of an hour. If he drove at a constant rate, how far did he travel in one hour?
Answers
Answer:
the answer is 60miles
Step-by-step explanation:
because 15*4=60
h= -16t^2+16t+192 When will the ball hit the ground?
Answers
Answer:
t = 4 s
Step-by-step explanation
We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term
0 = -16t² + 16t + 192
0 = -t² + t + 12
0 = t² - t - 12
0 = (t - 4)(t + 3)
so either
t - 4 = 0
t = 4 s
or
t + 3 = 0
t = -3 s which we ignore as it occurs before the ball is released.
What is the slope of the line represented by the equation y = -1/2 X + 1/4
Answers
Step-by-step explanation:
y = -1/2 X + 1/4
comparing with y = mx+c
m = -1/2 and m is slop
henve slope = -1/2
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answers
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
You must arrange for a rental as you need reliable transportation to get to class, your job, and other commitments you have throughout the week.
A quick internet search shows that Acme rental agency is offering a daily cost of $9 plus $0.25 per mile, while Interstate rental agency is offering a daily cost of $15 plus $0.05 per mile.
Which rental company would you choose? I
Answers
The best rental agency company to choose is the interstate rental agency
Which rental company would you choose?The given parameters are:
Acme rental agency
Daily cost = $9
Charge per mile = $0.25 per mile
Interstate rental agency
Daily cost = $15
Charge per mile = $0.05 per mile
From the above parameters, we can see that the interstate rental agency has a lesser rate that is considerably smaller when compared to acme rental agency
And their daily costs are not too far from one another
Hence, the best rental agency company to choose is the interstate rental agency
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
Determine the unit rate: 2 dozen tennis balls for $36
Answers
Answer:
It is $1.50 or $18 per dozen tennis balls
Step-by-step explanation:
1. Divide the total price by the number of tennis balls.
36/24= 1.50
So it cost $1.50 per tennis ball.
2. Then solve by dividing the total price by the number of tennis balls:
36/2= $18
"So it cost $18 per dozen tennis balls"
It is $1.50 or $18 per dozen tennis balls
Look at the figure:
An image of a right triangle is shown with an angle labeled x.
If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°?
sin x° = 4b
sin x° = b divided by a
sin x° = 4a
sin x° = a divided by b
Answers
By using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
What are trigonometric functions?Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
Given
\(\sin \text{x}^\circ= \ ?\)
\(\tan \text{x}^\circ=\dfrac{\text{a}}{4}\)
\(\cos \text{x}^\circ=\dfrac{4}{\text{b}}\)
Formula to find \(\sin \text{x}^\circ\)
\(\sin \text{x}^\circ=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)
\(\rightarrow\sin \text{x}^\circ=\bold{\dfrac{a}{b}}\)
Therefore, by using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
To know more about trigonometric functions, visit:
https://brainly.com/question/31540769
x = -9 and y = 2 plz help me plz
Answers
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
Learn more about determining the percentage at https://brainly.com/question/24877689.
#SPJ1
A 15-inch by 8-inch tablecloth is placed on a circular table. Each of the four corners of the tablecloth touch the edge of the table. Determine the radius of the table
Answers
Answer:
radius = 8.5 in
Step-by-step explanation:
the diagonal of the tablecloth will be the diameter of the table.
diagonal² = 15² + 8² = 225 + 64 + 289
diagonal = √289 = 17 in
radius = 17/2 = 8.5 in
The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).
What is a circle?The radius of a circle is the distance between the center and the circumference.
It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
A 15-inch by 8-inch tablecloth is placed on a circular table.
Each of the four corners of the tablecloth touch the edge of the table.
That is shown in the diagram.
The diameter d is measured by the Pythagoras theorem.
d² = 15² + 8²
d² = 225 + 64
d² = 289
d² = 17²
d = 17 inches
The diameter of the circle is 17 inches.
The radius is the half of the diameter. Then the radius will be
r = d / 2
r = 17 / 2
r = 8.5 inches
Thus, the radius of the circular table will be 8.5 inches.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ5
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
Answers
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
For more such questions on linearity,click on
https://brainly.com/question/2030026
#SPJ8
Answer:
person above
Step-by-step explanation:
the obvious
ramin must calculate 8.42 divided by 3.6 longhand but can't remember what to do about decimal points
Answers
Answer:
He should change 3.6 to 36
and
he should change 8.42 to 84.2
He should also move the decimal up when dividing like in the picture I posted.
Step-by-step explanation:
I other words, he should shift the decimal points to the right one
I hope that I could help!
He should also move the decimal up when dividing in the picture that is posted.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
We need to find 8.42 divided by 3.6 longhand.
8.42 / 3.6
= 2.33
He should change 3.6 to 36 and he should change 8.42 to 84.2
He should also move the decimal up when dividing in the picture that is posted.
Learn more about division here:
https://brainly.com/question/26411682
#SPJ2
Choose the best graph that represents the linear equation:
-x = 2y + 1
Answers
The line slants downward from left to right, indicating that as x increases, y decreases.
The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1
Dividing both sides by 2:y = (-1/2)x - 1/2
The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).
Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.
for more search question downward
https://brainly.com/question/29330028
#SPJ8
In circle L with m
90
60
30
15
Answers
Answer:
B. 60°
Step-by-step explanation:
minor arc KM = 2×30° = 60°
What is the codomain of a function
Answers
Answer:
Step-by-step explanation:
The set of all possible output values of a function. (Or in other words the set of values that the output values lie in.)