Answer:
B
Step-by-step explanation:
because when you get the square of 6 and 7,add , you will get the square of 10 as the answer.
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The number w and 0.8 are additive inverses.
Drag and drop 0.8 and w to their correct positions on the number line.
Drag and drop the label “Sum” to the sum of 0.8 and w.
The sum of w and its additive inverse is 0
How to drag and drop 0.8 and w to their correct positions on the number line?The number is given as:
Number = 0.8
The number w is the additive inverse.
This means that
w = -0.8
The sum of 0.8 and w is
w + 0.8 = -0.8 + 0.8
w + 0.8 = 0
So, we have:
Sum = 0
Hence, the sum of w and its additive inverse is 0
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Which is the polynomial function of lowest degree that has –5, –2, and 0 as roots? f(x) = (x – 2)(x – 5) f(x) = x(x – 2)(x – 5) f(x) =(x 2)(x 5) f(x) = x(x 2)(x 5)
The polynomial function of the lowest degree that has -5, -2, and 0 as roots is f(x) = (x - 2)(x - 5).
To find the polynomial function of the lowest degree with -5, -2, and 0 as roots, we can use the factored form of a polynomial. If a number is a root of a polynomial, it means that when we substitute that number into the polynomial, the result is equal to zero.
In this case, we have the roots -5, -2, and 0. To construct the polynomial, we can write it in factored form as follows: f(x) = (x - r1)(x - r2)(x - r3), where r1, r2, and r3 are the roots.
Substituting the given roots, we have: f(x) = (x - (-5))(x - (-2))(x - 0) = (x + 5)(x + 2)(x - 0) = (x + 5)(x + 2)(x).
Simplifying further, we get: f(x) = (x^2 + 7x + 10)(x) = x^3 + 7x^2 + 10x.
Therefore, the polynomial function of the lowest degree with -5, -2, and 0 as roots is f(x) = x^3 + 7x^2 + 10x.
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The polynomial function of lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5). Each root is written in the form of (x - root) and then multiplied together to form the polynomial.
Explanation:The question asks for the polynomial function of the lowest degree that has –5, –2, and 0 as roots. To find the polynomial, each root needs to be written in the form of (x - root). Therefore, the roots would be written as (x+5), (x+2), and x. When these are multiplied together, they form a polynomial function of the lowest degree.
Thus, the polynomial function of the lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5).
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23 = y* 5 -2 what is y?
Answer:
5
Step-by-step explanation:
\(23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y\)
there were 62 females and 217 males present at the high school pep rally. find the ratio of the males to the total number of people present
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The ratio is 217 to 279 or 217:279 or \(\frac{217}{279}\)
Males: The number of males if already stated. (217)
Total number of people present: The total number of people means males + females. There are 62 females and 217 males. 62+217 is 279.
Males to total people = 217 to 279
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The ratio of the males to the total number of people present is \(\frac{7}{9}\) = 7:9
What is ratio?"A ratio is an ordered pair of numbers a and b, written \(\frac{a}{b}\) where b does not equal 0."
We have
Female candidates at the high school rally = 62
Male candidates at the high school rally = 217
Total number of people present at the high school rally
= 62 + 217
= 279
The ratio of the males to the total number of people present
= \(\frac{Total Number of People Present}{Male Candidates Present}\)
= \(\frac{217}{279}\)
= \(\frac{7}{9}\)
Hence, the ratio of the males to the total number of people present is \(\frac{7}{9}\) = 7:9
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Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
dt = 6
d = 6t
A four-part spinner is spun once.
List the sample space for the experiment.
S = {Q, R, R, T}
S = {Q, R, S, T}
S = {R, A, T}
S = {S, Q, Q}
The sample space for the experiment, S= {Q, R, S, T}.
What is Sample Space in an Experiment?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
From the Spinner we can see four portions as
Q(Orange)
R(Green)
S(Blue)
T(Purple)
So, if the spinner spined then it will point Q, R, S or T which is the Sample space for the Spinner.
Hence, the Sample space is {Q, R, S, T}.
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Answer: B: S = {Q, R, S, T}
Step-by-step explanation:
This is the only answer listed with the letters on the spinner.
In a simple bivariate regression with 60 observations, there will be _____ residuals.
There will be 60 residuals for simple bivariate regression's 60 observations.
According to the statement
We have given that the there is 60 observations and we have to find the number of simple bivariate regression for these observations.
So, For the solution of this problem,
We know that the
A simple linear regression (also known as a bivariate regression) is a linear equation describing the relationship between an explanatory variable and an outcome variable, specifically with the assumption that the explanatory variable influences the outcome variable, and not vice-versa.
And we know that the it is always same for the number as the number of given observations.
That's why there is 60 residuals.
So, There will be 60 residuals for simple bivariate regression's 60 observations.
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Find a solution to this system of equations:
5x-3y=20
15x+6y=60
Write your solution in (x,y) form.
Please help!!!!!
Answer:
(x, y) = (4, 0)
Step-by-step explanation:
You want the solution to the system of equations ...
5x -3y = 2015x +6y = 60Standard formIt often works well to start the solution process by putting both equations into standard form. We do that by removing any common factors from the coefficients. Here, we see that the second equation's coefficients each have a factor of 3, so we can remove that and rewrite the system as ...
5x -3y = 205x +2y = 20ObservationChanging the coefficient of the y-term has no effect, telling us that y=0, and the equation reduces to ...
5x = 20
x = 4
More formally, if we subtract the first equation from the second, we get ...
(5x +2y) -(5x -3y) = (20) -(20)
5y = 0 . . . . . . simplify
y = 0 . . . . . . . divide by 5
The solution is (x, y) = (4, 0).
f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3
Answer:
B
Step-by-step explanation:
We are given the two functions:
\(f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9\)
And we want to find:
\(f(x) + g(x)\)
Substitute:
\(= (8 - 4x - x^3) + (x^2 + 7x - 9)\)
Rewrite:
\(= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)\)
Combine like terms:
\(= -x^3 + x^2 +3x -1\)
In conclusion:
\(f(x) + g(x) = -x^3 + x^2 +3x -1\)
Hence, our answer is B.
Macha is a day care provider and has three tables with children eating lunch as shown on the grid. Where should Macha stand to be equidistant from all three tables?
According to the information, the coordinate that indicates the equidistant point to the three tables is 11/3, 5
How to find the equidistant point to the three tables?To find the equidistant point to the three tables we must take into account the coordinates of the three tables as shown below:
A = (1, 8) = (x1, y1)B = (3, 2) = (x2, y2)C = (7, 5) = (x3, y3)So to find the center we must apply the following formula:
(x1 + x2 + x3 / 3, y1 + y2 + y3 / 3)= (3 + 1 + 7 / 3, 8 + 2 + 5 / 3)= (11/3, 15/3)= (11/3, 5)Note: This question is incomplete. Here is the complete information:
Image attached
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30 fortyths into a decimal
Answer:
0.3
Step-by-step explanation:
Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.
Hope this helps :)
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Factor 1/3x - 1/3, if it cannot be factorized write cannot be factorized
Answer: \(1/3(x-1)\)
Step-by-step explanation: In this case, factoring cannot be done at a large scale because there is no degree higher than one on both terms. However, you can factor out the gcf on both terms which is one-half to make the equation in factorized form.
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Answer:
Not sure what the expression actually is, but it is is either:
1.
\( \frac{1}{3x} - \frac{1}{3} \)
Then:
\( \frac{1}{3x} - \frac{1}{3} = \frac{1}{3} ( \frac{1}{x} - 1)\)
Or
2.
\( \frac{1}{3} x - \frac{1}{3} \)
Then:
\( \frac{1}{3} x - \frac{1}{3} = \frac{1}{3} (x - 1)\)
If a^b= b^a and a = 2b then find the value of a^2+b^2
a) 20
b) 30
c) 28
d) 24
Answer:
\(\large \boxed{\sf \bf \ \ a^2+b^2=20 \ \ }\)
Step-by-step explanation:
Hello, please consider the following.
\(a^b=b^a\\\\\text{ We can replace a by 2b.}\\\\(2b)^b=2^b\cdot b^b=b^{2a}=b^2\cdot b^b\\\\\text{ Let's assume that b is different from 0 and we can divide by }b^b \\ \\ \text{ both sides of the equation, and it come.}\\\\2^b=b^2\\\\\text{ We find b = 2 and then a = 4, So}\\\\a^2+b^2=4^2+2^2=16+4=20\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Quentin draws a square that measures 12 inches long by 12 inches wide. He draws a new square that has a scale factor of 50%. What are the dimensions of his new square?
Step-by-step explanation:
The new square has a scale factor of 50%, which means that its dimensions will be 50% of the original dimensions.
The original dimensions were 12 inches long and 12 inches wide, so the new square would be 6 inches long and 6 inches wide.
a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone
Answer:
625.5 cm^2
Step-by-step explanation:
The volume of a cone is
V = 1/3 B h
4170 = 1/3 B 20
4170 = 20/3 B
Multiply each side by 3/20
4170 *3/20 = B
625.5 = B
Hey there! I'm happy to help you!
The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...
The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.
In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.
In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.
4,170*3= 12510
The other step we took was multiply the base by the height, which is 20 centimeters. To get our base, we will divide by the height instead!
12510/20= 625.5
Therefore, the area of the base of the cone is 625.5 centimeters squared.
I hope that this helps! Have a wonderful day!
In AXYZ, the angle measures are in the ratio 2:4:6. What are the measures of the angles?
Answer:
Please check the explanation.
Step-by-step explanation:
Given that the measures of the Angles of the triangle ΔXYZ are in the ratio 2:4:6.
As the angles are in the proportion 2:4:6. Thus, the measure of the angles will have the same scale factor x.Also, the sum of the measure of angles in a triangle is 180°.
so
2x + 4x + 6x = 180
Add similar elements: 2x + 4x + 6x = 12x
12x = 180
Divide both sides by 12
12x/12 = 180/12
Simplify
x = 15
Therefore, the measure of the angles of a triangle will be:
2x = 2(15) = 30
4x = 4(15) = 60
6x = 6(15) = 90
Verification:
30 + 60 + 90 = 180
180 = 180
Answer plsssssssssssss
Step-by-step explanation:
26-4=22
22/2 is 11
11+4=15
15+11=26
So Sarahs age is 15 and Joe's in 11.
Answer:
Joe = 11 y/o, Sarah = 15 y/o
Step-by-step explanation:
Equation: x+(x+4) = 26
Combined ages: 2x+4=26
2x=22
x=11
So, Joe is 11.
Sarah's age: 11+4
So, Joe is 11 and Sarah is 15.
which of these numbers can be classified as both real and rational
1/2
-1.016879413894…
V5
0.89089908999…
The number that can be classified as both real and rational is option A. 1/2.
How can we know both real and rational?Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.
Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number.
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I would really like some help with this. If anyone is able to help me.
Answer:
are not
Step-by-step explanation:
it is clear I can explain in the comment section ... because I don not want you to lose time
Write a declaration for a variable hits that can hold the number of times a baseball player has hit the ball in a baseball game.
A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;
How do you declare a variable value?
A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.
When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.
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Convert 4 centimeters per second to miles per hour
P:Z HELP
4 centimeters per second is approximately equal to 0.0893 miles per hour.
To convert 4 centimeters per second to miles per hour, we'll follow these steps:
Convert centimeters to miles.
Convert seconds to hours.
Convert centimeters to miles.
To convert centimeters to miles, we need to perform the following conversions:
1 mile = 160,934 centimeters.
Therefore, to convert 4 centimeters to miles, we divide by the conversion factor:
4 centimeters / 160,934 centimeters = 0.0000248558 miles.
Convert seconds to hours.
To convert seconds to hours, we use the following conversion:
1 hour = 3,600 seconds.
Therefore, to convert 1 second to hours, we divide by the conversion factor:
1 second / 3,600 seconds = 0.000277778 hours.
Now, we can calculate the conversion from centimeters per second to miles per hour by dividing the distance in miles by the time in hours:
0.0000248558 miles / 0.000277778 hours = 0.089288624 miles per hour.
Therefore, 4 centimeters per second is approximately equal to 0.0893 miles per hour.
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What is the algebraic expression for "the sum of a number and 4"?
A. 4-z
B. 4/z
C. z+4
Answer:
C. z + 4
Hope this helps :)
Step-by-step explanation:
When it says "sum," it means the answer to 2 number that you add. The first number will be unknow which z will stand for, and the second number is 4 since it was stated in the statement, "the sum of a number and 4."
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How do you graph the system of inequalities??
y < 2(x+2)^2 + 3
y >_ x+2
The system of inequalities are graphed accordingly.
What is a system of inequalities ?A system of linear inequalities is similar to a system of linear equations, except that it is made up of inequalities rather than equations.
For the system of inequalities y < 2(x+2)² + 3 and y > x+2, we can follow these steps ....
Graph each inequality separately on the same coordinate plane.
For y < 2(x+2)² + 3, we can begin by graphing y = 2(x+2)² + 3 This is a parabola that opens upwards and has its vertex at (-2,3).
After the above we need to determine which side of the parabola satisfies
y < 2(x+2)² + 3
For y > x+2, we can begin by graphing y = x+2. This is a line with a y -intercept of 2 and a slope of 1
Next, we need to determine which side of the line satisfies y > x+2. .We can shade this region to indicate the solution set.
Determine the region that satisfies both inequalities by finding the overlapping shaded regions.
The region that satisfies both inequalities is the region where the shaded regions overlap. In this case, it is the region between the parabola and the line.
Identify the solution set by selecting a point in the overlapping shaded region and testing it in each inequality.
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HELP DUE IN 5 MINUTES
6. Loren found that a copy machine makes 250 copies in 2 1/2 minutes, giving a constant of proportionality of 1/100. What equation could Loren use to determine the number of minutes, m, necessary to make c copies? * 1 1 C = m 100 n = C 100 O A. OB. 1 1 +C = m 100 + m = C 100 O D.
Answer:
100C=m
Step-by-step explanation:
If 250 copies are made in 2.5 minutes, you get the equation:
250c=2.5m
divide by 2.5 on both sides and you get:
100c=m
So in m minutes, 100c copies are made.
The radicand in the quadratic formula, b²-4ac, is called the discriminant . How many real number solutions will the quadratic equation have if the discriminant is (a) greater than 0, (b) equal to 0, or (c) less than zero? Explain your answer.
(a) If the discrimant is > 0, the quadratic equation has 2 real solutions.
(b) If the discrimant is = 0, the quadratic equation has 1 real solution.
(c) If b^2-4ac is < 0, the quadratic equation has 0 real solution, therefore it has 2 imaginary solutions.
Why is it called discriminant?
The square root's input (i.e., its contents), which is the phrase b^2 - 4ac, is known as the "discriminant" because using its value, you may "discriminate" between (i.e., be able to distinguish between) the different solution types.
Where is the discriminant used?To determine how many possible solutions a quadratic equation has, utilize the discriminant formula.
(a) If the discrimant is > 0, the quadratic equation has 2 real solutions.
Example
x^2 - 5x + 2 = 0
where a = 1, b = -5, c= 2
D=b^2 - 4ac = (-5)^2 - 4 ×1 × 2 = 17
∴ It has two real solutions.
(b) If the discrimant is = 0, the quadratic equation has 1 real solution.
Example
x^2 + 2x + 1 = 0
where a = 1, b = 2, c= 1
D=b^2 - 4ac = (2)^2 - 4 ×1 × 1 = 0
∴ It has one real solution.
(c) If b^2-4ac is < 0, the quadratic equation has 0 real solution, therefore it has 2 imaginary solutions.
Example
3x^2 + 2x + 1 = 0
where a = 3, b = 2, c= 1
D=b^2 - 4ac = (2)^2 - 4 ×3 × 1 = -8
∴ It has two imaginary solutions.
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what is 7x + 6 +2x = 60 .
Answer:
\(x = 6\)
Step-by-step explanation:
\(7x + 6 + 2x = 60 \\9x + 6 = 60\)
add \(-6\) to both sides
\(9x + 6 - 6 = 60 - 6 \\9x = 54\)
Divide both sides by \(9\)
\(\frac{9x}{9} = \frac{54}{9}\)
\(x = 6\)
is db the perpendicular bisector of ac? explain your reasoning.
only if it cuts AC in half
dont care the values of sides AD and DC
fix) = 3x gix) = 2x-
3h(x) = -X+1
Find f(g(2))
Answer:
una carnival
Step-by-step explanation:
Use one of these team benefits and costs to best complete the following sentences. Use each term no more than once.
Enhanced performance Lower stress Lower turnover
Lower absenteeism Fewer injuries Cost reductions
Greater flexibility Improved customer service Frustration
Threat of job loss Slow process to get to high team productivity Risking lost confidence in management
If top management is impatient with the slow process in moving to self-managing teams, teams may be disbanded, returning the organization to its original hierarchical form and .
As empowered teams reduce scrap, make fewer errors, and file fewer worker compensation claims, organizations based on teams are showing significantwhere must change start for a team implementation to be successful?
Because of the slow process to get to high team productivity, organizational productivity may fall before it rises.
Because teams give employees the freedom to manage themselves and gain respect and dignity, employees in teams often experience organizational productivity, this is known as enhanced performance.
How do most firm enhanced performance of its employees?Firms offer various training and development programs to their employees to enhance their skills and knowledge. These programs could be on-the-job training, coaching, mentoring, workshops, and seminars. The aim is to equip employees with the necessary skills and knowledge required to perform their job functions effectively.
They also set performance goals and expectations for their employees to help them stay focused on achieving specific objectives. These goals are typically aligned with the firm's overall objectives and may include performance metrics, such as productivity, quality, efficiency, and customer satisfaction. Incentives and benefits are offered to motivate employees to perform at their best.
Missing words "Because of the may fall before it rises Because teams give employees the freedom to manage themselves and gain respect and dignity, employees in teams often experience organizational productivity Use your knowledge of how to effectively move to a team-based organization to answer the following question."
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Factor out the Greatest Common Factor (GCF): 64d5- 32d²