Answer:
d. 13 inches
Step-by-step explanation:
When we need to solve the side length and length of triangles, we need to remember one thing.
Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.
Therefore, since we know our two short sides, add them :
7in. + 5in.
= 12in.
Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.
What are the common factors of 14 28 and 42?
What are the roots of the quadratic equation 2x² √ 5x 2 0 Using the quadratic formula?
The roots of the quadratic equation 2x² + 5x - 2 = 0 are -2.7 and 1.3.
The quadratic equation is 2x² + 5x - 2 = 0.
We can solve this equation using the Quadratic Formula:
x = [-b ± Â√(b² - 4ac)] / 2a
Where a = 2, b = 5, and c = -2.
Substituting these values into the formula, we get:
x = [-5 ± Â√(5² - 4(2)(-2))] / 2(2)
x = [-5 ± Â√41] / 4
x = [-5 ± Â√41] / 4
x = [-5 ± 6.4] / 4
x = -2.7 or 1.3
Therefore, the roots of the quadratic equation 2x² + 5x - 2 = 0 are -2.7 and 1.3.
Learn more about quadratic equation here :
https://brainly.com/question/17177510
#SPJ4
the original quantity is 10 and the new quantity is 14, what is the percent increase?
The percent increase
The original amount is 10 and the new quantity is 14 percent increase is 40%
What exactly is a percentage?An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.
Here,
The increase in percentage is equal to (New quantity - Original quantity)/Original quantity 100
(14-10)/10* 100.
4/10 × 100
40%
A 40% increase from the original amount to the new quantity may be calculated as a result.
For additional information about the percentage go to the link:
brainly.com/question/14343312
#SPJ1
to use a normal distribution to approximate binomial probabilities, why do we require that both np and n(1 - p) be at least 10?
We require both to ascertain whether the findings are independent, this criterion is applied.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous. The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given information in the question,
The normal distribution can be used to approximate the binomial distribution. The situation when performing a normal approximation is as follows:
np ≥ 10 and,
np(1 - p) ≥ 10
This criterion is used to determine whether the results are independent.
We are aware that when n and p are combined, the results are independent.
To know more about Binomial distribution:
https://brainly.com/question/14565246
#SPJ1
What is the probability that the first roll is an even number and the second roll is a number greater than 4? one-sixth one-third two-thirds five-sixths.
Answer:
2
Step-by-step explanation:
14.
In the figure (not drawn to scale), MO bisects LMN, mZNMO = (6x +19), and m/LMO = (9x -
14). Solve for x and find ZLMN.
A. x= 11, m ZLMN = 198°
B. x= 11, m ZLMN = 170°
C. x=8, m
D. x=8, m
The value of ZLMN is 58.
What is bisects?
Bisection in geometry is the division of an object into two equal or congruent halves, typically by a line, which is subsequently referred to as a bisector. The segment bisector and the angle bisector are the two forms of bisectors that are most frequently used.
LMO+NMO = LMN,
x+34 + NMO = 6x-28
But, MO bisects LMN, so LMO=NMO
x+34 + x+34 = 6x-28
2x+68 = 6x-28
4x = 96
x = 24
That would makem it
24 + 34 =58 T NMO = 6(24)-28
58 + nmo = 144 - 28 = 119
116- 58 = 58
To learn more about bisects visit.
https://brainly.com/question/17445304
#SPJ1
what is the value of x ?
Answer:
B - 50
Step-by-step explanation:
the exterior angle is 105, and as it's on a straight line, the interior angle is 180-105=75
75+55=130
angles in a triangle are 180
180-130=50
Answer:50 degrees
Step-by-step explanation: The 105degrees angle forms a supplementary angle with the missing degrees in the triangle
so the missing value which is not requested is 180degrees-105 degrees=75 degrees
No we have two angles inside the triangle. We can now work out the missing angle for x
We know that a triangle adds up to 180 degrees
So x=180-55-75=50 degrees as the answer
Please help me !!!!!!!!!!!
Answer:
29
Step-by-step explanation:
You have 1,500 Kilometers and 32 15- kilometer races.
Step 1: Divide 1,500 by 15
step 2: Multiply the answer by 10
step 3:
What is the equation of the line that passes through the point (6, 5) and has a
slope of
-1/3
Answer:
y= -1/3x+7
i graphed it so it should be right
Which transformation causes the image to be larger or smaller than the pre-image?
A dilation is a type of transformation causes the image to be larger or smaller than the pre-image.
What is dilation?A dilation is a type of transformation that changes the size of a figure without changing its shape. Dilations can make a figure larger or smaller.
In a dilation, the original figure is called the preimage. The dilated figure is called the image. Figures are dilated from a fixed point, called the center of dilation.Dilations also scale all sides of a figure by the same factor. As a result, dilations preserve angle measures and the ratio between corresponding parts.When dilating a figure, the different parts of the figure are multiplied by the scale factor.
In a dilation, the scale factor refers to the ratio between the corresponding sides of the preimage and the image. Therefore, the scale factor, k, can be calculated by dividing the length of one part in the image with the corresponding part in the preimage. The length of the preimage part should always be in the denominator as it belongs to the original figure.
A dilation is a type of transformation causes the image to be larger or smaller than the pre-image.
To know more about dilation, check out:
https://brainly.com/question/3457976
#SPJ4
The average test score of RSM students in September increased by 10%. In October it increased by another 15%. By what percent did the average score on the test increase during the two months? PLS PROVIDE SHOW OF STEPS!
The percent that the average score on the test increased during the two months is 12.5%.
By what percent did the average score on the test increase during the two months?It should be noted that mean simply means the average of a set of numbers that are given. In this case, the average test score of RSM students in September increased by 10%. In October it increased by another 15%..
The average of the increase will be:
= (10% + 15%) / 2
= 25% / 2
= 12.5%
The average is 12.5%.
Learn more about mean on:
brainly.com/question/1136789
#SPJ1
How do u solve 4x 2y =- 12?
To solve this equation, use the distributive property to rewrite it as 4x - 2y = 12. Then, solve the equation using either addition or subtraction.
To solve the equation 4x 2y = -12, the first step is to use the distributive property to rewrite the equation as 4x - 2y = 12. This allows us to solve the equation using either addition or subtraction. If we choose to use addition, we can add 2y to both sides of the equation to get 4x + 2y = 12. We can then subtract 2y from both sides to get 4x = 12 - 2y. Dividing both sides of the equation by 4 gives us the solution x = (12 - 2y)/4. If we choose to use subtraction, we can subtract 2y from both sides of the equation to get 4x - 2y = 12. We can then add 2y to both sides to get 4x = 12 + 2y. Dividing both sides of the equation by 4 gives us the solution x = (12 + 2y)/4. In either case, the solution is x = (12 ± 2y)/4.
Addition:
4x + 2y = 12
4x = 12 - 2y
x = (12 - 2y)/4
Subtraction:
4x - 2y = 12
4x = 12 + 2y
x = (12 + 2y)/4
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
How do you find the quotient of a polynomial?
To find the quotient of a polynomial, first divide the polynomial by the divisor. Then use polynomial long division to divide the polynomial by the divisor. The quotient is the result of the polynomial long division.
1. Identify the polynomial to be divided and the divisor.
2. Divide the highest degree term of the polynomial by the divisor.
3. Multiply the divisor by the result from the previous step and subtract this from the polynomial.
4. Bring down the next term in the polynomial.
5. Repeat steps 2-4 until all terms in the polynomial have been divided.
6. The result is the quotient (the answer) of the polynomial division.
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
What is Transform () function used for?
Python's Transform function returns a self-produced data frame with transformed values after applying the function specified in its parameter. This data frame has the same length as the passed data frame.
Now, According to the question:
Python's Transform function returns a self-produced data frame with transformed values after applying the function specified in its parameter. This data frame has the same length as the passed data frame.
What does transform () do?
The transform CSS property lets you rotate, scale, skew, or translate an element. It modifies the coordinate space of the CSS visual formatting model.
The transform() function is used to call function on self producing a Series with transformed values and that has the same axis length as self. Function to use for transforming the data.
Learn more about Transform function at:
https://brainly.com/question/13810353
#SPJ4
What are all the rational roots of the polynomial f x )= 20x 4 x 3 8x 2 x 12?
The rational roots of the given polynomial are +/- 1, +/- 2, +/- 3, +/- 4, +/- 6, +/- 12, +/- 1/2, +/- 1/4, +/- 1/5, +/- 1/10, and +/- 1/20.
To find the rational roots of the polynomial, we can use the Rational Root Theorem. This theorem states that if a polynomial of the form a_n*x^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 has a rational root, then that root must be of the form p/q, where p is a divisor of a_0 and q is a divisor of a_n.
In this case, the polynomial is
f(x) = 20x^4 - 8x^3 - x^2 + 12x,
so a_0 = 12 and a_4 = 20. The divisors of 12 are 1, 2, 3, 4, 6, and 12. The divisors of 20 are 1, 2, 4, 5, 10, and 20. Therefore, the possible rational roots of the polynomial are
p/q = +/- 1, +/- 2, +/- 3, +/- 4, +/- 6, +/- 12, +/- 1/2, +/- 1/4, +/- 1/5, +/- 1/10, and +/- 1/20.
We can then test each of these values to see if they are actually roots of the polynomial. If a value is a root, then substituting it into the polynomial will result in a value of 0.
Therefore, the rational roots of the given polynomial are +/- 1, +/- 2, +/- 3, +/- 4, +/- 6, +/- 12, +/- 1/2, +/- 1/4, +/- 1/5, +/- 1/10, and +/- 1/20.
To learn more about rational roots,
visit; brainly.com/question/18514997
#SPJ4
This theorem states that if a polynomial of the form a_n*x^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 has a rational root, then that root must be of the form p/q, where p is a divisor of a_0 and q is a divisor of a_n.
f(x) = 20x^4 - 8x^3 - x^2 + 12x,
p/q = +/- 1, +/- 2, +/- 3, +/- 4, +/- 6, +/- 12, +/- 1/2, +/- 1/4, +/- 1/5, +/- 1/10, and +/- 1/20.
Therefore, the rational roots of the given polynomial are +/- 1, +/- 2, +/- 3, +/- 4, +/- 6, +/- 12, +/- 1/2, +/- 1/4, +/- 1/5, +/- 1/10, and +/- 1/20.
By solving simultaneous equations, work out
the coordinates of the point where the two
lines below intersect.
2x+y=8 y
0
y=3x-2
X
The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
2x + y = 8 ...1
y = 3x - 2 ...2
From equations 1 and 2, then the value of the variable 'x' is calculated as,
2x + 3x - 2 = 8
5x = 10
x = 2
Then the value of the variable 'y' will be calculated as,
y = 3(2) - 2
y = 6 - 2
y = 4
The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
What is a rational function example?
The example of a rational function is f ( x) = x 2 − 1 2 x + 21. , we can represent this function in terms of ratio of p and q.
Other than than a real world example can be that , a cookie being divided among two children , the representation will be , 1 / 2.
A graph of a rational function has asymptotes which are of three types and that is what makes them different from the rest of the functions. Rational functions are the functions which can be represented in the ratio of two polynomials p and q. The solution of this equation is know as the roots of the equation.
To learn more about rational function
brainly.com/question/28193264
#SPJ4
PLS HELP :D here is the question attached
Answer:
y=(2/3) x+7
Step-by-step explanation:
2/3 is the slope which would be parallel
All of the y values or outputs are called what?
Answer:
range
Step-by-step explanation:
the x values or inputs are called the domain
the y values or outputs are called the range
Mark’s cost does not vary directly with time spent talking because A graph titled Phone Plan Costs shows Mark's cost and Nikiya's cost and shows Time Spent Talking (hours) on the x-axis and Cost (dollar sign) on the y-axis. A straight line showing Mark's cost starts at (0, 20) and goes through (3, 40). A straight line showing Nikiya's cost starts at (0, 0) and goes through (2, 30).
The phone's cost that varies directly with time are given as follows:
Both Mark and Nikiya.
How to obtain the variation of the functions?The variation of the functions can have two classifications, given as follows:
Direct variation: When the input increases, the output also increases.Inverse variation: When the input increases, the output decreases.Mark's cost starts at (0, 20) and goes through (3, 40), meaning that when the input increases from zero to 3, the output increases from 20 to 40, hence it has a direct variation.
Nikiya's cost starts at (0, 0) and goes through (2, 30), meaning that when the input increases from zero to 2, the output increases from 0 to 30, hence it has a direct variation.
Missing Information
The problem asks for whom's function varies directly with time.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Answer:
Based on the graph shown to the right, whose phone cost varies directly with the amount of time spent talking?
✔ Nikiya’s only
Mark’s cost does not vary directly with time spent talking because
✔ the cost of 0 hours is not 0 dollars
For Nikiya’s plan, the value of the constant of variation is
15,
which represents Nikiya’s
✔ cost per hour
Step-by-step explanation:
Hope this helps :)
If x:(x+3) = 2:3
find x
Answer: -6
Step-by-step explanation:
If x:(x+3) = 2:3, we can set up the following equation:
x / (x+3) = 2/3
Next, we can multiply both sides of the equation by 3 to get rid of the fraction on the right side:
3 * (x / (x+3)) = 3 * (2/3)
This gives us:
x / (x+3) = 2
Finally, we can multiply both sides of the equation by (x+3) to get rid of the fraction on the left side:
x = 2 * (x+3)
We can then solve for x by rearranging the terms on the right side of the equation:
x = 2x + 6
Subtracting 2x from both sides gives us:
x - 2x = 6
This simplifies to:
-x = 6
Finally, we can divide both sides of the equation by -1 to solve for x:
x = -6
Therefore, x = -6.
What is the median of the data 46 64 87?
Answer:
64
Step-by-step explanation:
What is the median of the data 46 64 87?
Median: center most value when values are arranged in numerical order so:
46 , 64 , 87
What is the median of 1 2 3 4 5 6 7?
Answer:
4
Step-by-step explanation:
since there are 7 numbers, divide it by 2. Then you will get 3 remainder 1. Now, count 3 numbers from the first number and the very next number will be your median.
In the past month Kaylynn rented one video game in for DVDs. The rental price for the video game was $3.30. The rental price for each DVD was $4.30. What is the total amount that Kaitlyn spent on video game and DVD rentals in the past month.
If in the past month Kaylynn rented one video game in for DVDs. the total amount that Kaitlyn spent on video game and DVD rentals in the past month. is : $7.60.
How to find the total amount?We would have to make use of this formula to find the total amount that Kaitlyn spent on video game and DVD rentals in the past month.
Total amount = (Number of video game × Video game rental price ) + Rental price for DVD
Let plug in the formula
Total amount = (1 × $3.30) + $4.30
Total amount = $3.30 + $4.30
Total amount = $7.60
Therefore we can conclude that the total amount is $7.60.
Learn more about total amount here:https://brainly.com/question/15270500
#SPJ1
What is the median of 13 16 12 14 19 12 14 13 14?
There are nine numbers in this set, so the median is the fifth number. The fifth number in this set is 14, so the median is 14.
The median of a set of numbers is the value that is exactly in the middle of the set when it is ordered from least to greatest. In this case, the set of numbers is 13, 16, 12, 14, 19, 12, 14, 13, 14. When we order this set from least to greatest, we get 12, 12, 13, 13, 14, 14, 14, 16, 19. There are nine numbers in this set, so the median is the fifth number. The fifth number in this set is 14, so the median is 14.
To find the median, we first need to arrange the numbers in order from least to greatest. If there is an odd number of numbers in the set, the median is the middle number. If there is an even number of numbers in the set, the median is the average of the two middle numbers. In this case, there are nine numbers in the set, so the median is the middle number.
To learn more about median, visit:
brainly.com/question/28060453
#SPJ4
Find the Slope of (7,-6) and (2,-3)
Answer:
m = -3/5
Step-by-step explanation:
The slope is rise/run or (y2 - y1) / (x2 - x1)
We see the y increase by 3 and the x decrease by 5, so the slope is
-3/5
So, m = -3/5
__________________________________________________________
Hello! In this question, we are going to find the slope of the line with the coordinates given to us in the question.
__________________________________________________________
Explanation:
In the question, we were given the points:
(7,-6)(2,-3)In order to find the slope of the line, we will use the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
We will plug our coordinates into the equation and solve.
__________________________________________________________
Solve:
Plug in the coordinates into the equation and solve.
[tex]m=\frac{-3-(-6)}{2-7} \\\\m=\frac{-3+6}{2-7} \\\\m=\frac{3}{2-7} \\\\m=\frac{3}{-5}\\\\\boxed{m=-\frac{3}{5}}[/tex]
Therefore, our slope for the given coordinates would be [tex]-\frac{3}{5}[/tex]
__________________________________________________________
Answer:
[tex]\boxed{m=-\frac{3}{5}}[/tex]
__________________________________________________________
Additional info:
Learn more about the slope formula below:
https://brainly.com/question/27747743
__________________________________________________________
Find an equivalent ratio in simplest terms:
45:24
Answer:
15/8
Step-by-step explanation:
The ratio is 45:24
45/24 simplify by 3
15/8
So, the ratio in simplest form is 15/8
What is the solution to the system of equations y equals 4x 10 y equals two?
The solution of the given system of equation is (3, 2).
In the given question we have to find the solution to the system of equations:
y = 4x − 10 and y = 2
We can solve the system of equation using the substitution method.
In substitution method we have to put the the value of one variable from one equation to the other equation.
We have to equations:
y = 4x − 10........................(1)
y = 2...................................(2)
Now putting the value of y from the equation 2 in equation 1
2 = 4x − 10
Add 10 on both side, we get
4x = 12
Divide by 4 on both side, we get
x = 3
Now putting the value of x in equation 1
y = 4(3) − 10
y = 12 − 10
y = 2
Hence, the solution of the given system of equation is (3, 2).
To learn more about substitution method link is here
brainly.com/question/14619835
#SPJ4
The right question is:
What is the solution to the system of equations y = 4x − 10 and y = 2?
Tell weather the p=6 is a solution of p + 5 < 12 yes or no
Answer:
yes
Step-by-step explanation:
You are making a coffee
table with a glass top surrounded by a cherry border.
The glass is 3 feet by 3 feet. You want the cherry border
to be a uniform width. You have 7 square feet of cherry
to make the border. What should the width of the border be?
Answer:
6 inches
Step-by-step explanation:
You want to know the uniform width of border around a 3 ft square coffee table that would have an area of 7 square feet.
Border areaThe area of the border is x feet wide by 3 feet long along each of the 4 sides, together with 4 corner squares that are x ft square.
A = 7 = 4(3x +x²)
Completing the square, we have ...
x² +3x +9/4 = 7/4 +9/4 . . . . . . divide by 4, add (3/2)² to both sides
(x +3/2)² = 4 . . . . . . . . . . . . simplify
x +3/2 = √4 = 2 . . . . . . square root
x = 1/2 . . . . . . . . . foot
The width of the border should be 6 inches.