1) The radius of the small circle r is 5√5 and 2) The shaded area will be 13.5π cm².
Area of circle A = 125 π, Radius of circle R = 15, We need to find the radius of the small circle r. By comparing both circles,Area of circle A = πR² 125π = π × 15² 125π = π × 225, 125π = 225 πr², r² = (125π) / πr² = 125r = √125r = 5√5. Hence, the radius of the small circle r is 5√5.
A circle of radius 9 cm with a sector of angle 60° cut out. We know that the area of the circle is given by ,Area of circle = πr² Where, r = 9 cm Area of circle = π × 9²= π × 81= 81 π. Since we have cut a sector of 60°,The remaining angle = 360° - 60° = 300° Fraction of the circle left = (300/360) = 5/6
Therefore,The area of the circle left = (5/6) × 81 π= 67.5 π. The area of the shaded portion = (Area of circle) – (Area of the circle left) Area of the shaded portion = 81 π – 67.5 π= 13.5 π cm², Hence, the shaded area is 13.5π cm².
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Answer: 1.09 is closer to 1
PLEASE HELP IM TIMED!
The value for the function f(g(-2)) is obtained as f(g(-2)) = 0.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The graph for the function y = f(x) is given.
The graph for the function y = g(x) is given.
We need to evaluate the function f(g(-2)).
From the graph of y = g(x) the value for g(-2) is obtained as -
g(-2) = 1
So, now we have -
f(g(-2)) = f(1)
From the graph of y = f(x) the value for f(1) is obtained as -
f(1) = 0
Therefore, the value is obtained as 0.
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Help, I can’t solve this question
A. Is 88
B. Is 24
C. Is none
D. Is 17 because
8 12 17 22 29
X. X. X. X
A MBA student is interested to investigate the "Factors affecting employee turnover intention in private organizations in Bahrain". The sample consists of 78 employees from different private organizations in Bahrain. Based on literature review, he has identified 8 constructs; each construct to be measured with interrelated statements (items) using 7-point balanced Likert Scale in Part B of the questionnaire. These constructs (unobserved variables) are: Job-satisfaction (JS), Inter-personal relationship (IR), Work Environment (WE), Work Stress (WS), Financial Compensation (FC), Administrative Support (AS), and independent variable as Turn-over intention (TI). Part A of the questionnaire include some basic questions on nominal scale such as, Years of Experience (4 groups: less than 5 years; 5 – 10 Years; 10-15 Years; Above 15 Years), Job-level (3 levels: Executive Management, Middle Management, Staffs), Organization Type (2 groups: Service/Manufacturing). Part C of the questionnaire includes questions related to demographic information such as Gender, Marital Status, Age Group, Education Level.
Questions:
a. Frame any 2 Research Questions considering the basic information provided in Part A and Part B of the questionnaire as stated above
b. Frame any 2 meaningful hypotheses that you believe could be interesting to investigate considering the information provided in Part C and Part B of the questionnaire as stated above [(write down both Null (H0) and Alternative (H1)]
c. One sample t test was performed to measure if the mean response of the employees on each construct stated in Part B of the questionnaire stated above differ from neutral point (4). Descriptive statistics and Inferential statistics are reported in Tables below.
i. Interpret the findings (concluding about the entire population of the study) on employees’ perception.
ii. On which underlying factors employees think most alike?
iii. On which underlying factors employees think most differently?
iv. Write down any one hypothesis related to the test performed (write both H0 and H1)
v. Write any one research question that is answered through this test
One sample t test (Test Value = 4)
Factor t df Sig. (2-tailed) Mean Difference
JS 6.429 77 0.001 0.849
OC 7.721 77 0.002 1.059
IR 13.816 77 0 1.696
WE 8.58 77 0 1.118
WS 4.121 77 0 0.626
FC -1.043 77 0.3 -0.173
AS 3.57 77 0.001 0.467
TI 1.849 77 0.068 0.343
one sample statistic
n Mean SD
OC 78 5.059 1.211
IR 78 5.696 1.084
WE 78 5.118 1.151
WS 78 4.626 1.341
FC 78 3.827 1.466
AS 78 4.467 1.154
TI 78 4.343 1.638
Answer:
a. Two research questions that can be framed based on the information provided in Part A and Part B of the questionnaire are:
1. What is the relationship between years of experience and turnover intention among employees in private organizations in Bahrain?
2. What is the relationship between job level and job satisfaction among employees in private organizations in Bahrain?
b. Two meaningful hypotheses that can be framed based on the information provided in Part C and Part B of the questionnaire are:
H0: There is no relationship between gender and work stress among employees in private organizations in Bahrain.
H1: There is a relationship between gender and work stress among employees in private organizations in Bahrain.
H0: There is no relationship between education level and financial compensation among employees in private organizations in Bahrain.
H1: There is a relationship between education level and financial compensation among employees in private organizations in Bahrain.
c. i. The findings from the one sample t test indicate that employees' perceptions differ significantly from the neutral point (4) on the constructs of job satisfaction (JS), organizational commitment (OC), inter-personal relationship (IR), work environment (WE), and work stress (WS). However, there is no significant difference between employees' perceptions and the neutral point on the constructs of financial compensation (FC) and administrative support (AS).
ii. Employees think most alike on the construct of inter-personal relationship (IR), as indicated by the highest mean difference (1.696) and the highest t value (13.816).
iii. Employees think most differently on the construct of financial compensation (FC), as indicated by the lowest mean difference (-0.173) and the lowest t value (-1.043).
iv. One hypothesis related to the test performed is:
H0: There is no difference between employees' perceptions of job satisfaction and the neutral point.
H1: There is a difference between employees' perceptions of job satisfaction and the neutral point.
v. One research question that is answered through this test is: Do employees' perceptions of job satisfaction differ significantly from the neutral point?
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4)
xyz
y2
2
at x = 3, y=−1, z = 2
1)Substituting the given values, we get:
xyz = 3(-1)(2) = -6
Therefore, when x=3, y=-1, and z=2, the value of xyz is -6.
2)y^2 = (-1)^2 = 1
Therefore, when x = 3, y = -1, and z = 2, y^2 = 1.
3) 2
If pure water is added to a 15% alcohol solution, what percent alcohol is being added?
If I understand your question correctly, pure water is 0% alcohol, so by adding water, this will dilute your 15% alcohol solution and lower the percentage of alcohol in the solution.
Many word problems are set up like "You have some amount of 15% alcohol solution and you add some pure water. You end up with some other amount of the diluted mixture. How much 15% alcohol solution and how much pure water were mixed."
For those ones, use 0% alcohol for your pure water.
John and Scott are selling cheesecakes for a school fundraiser. customers can buy new york style cheesecake and so apple cheesecake. John sold 7 new york style cheesecakes and 4 apple cheesecake for a total of $116. Scott sold 8 new York style cheesecake and 12 apple cheesecakes for the total of$244. Find the cost of each of one New York style cheesecake and one apple cheesecake.
Let
x
represent the
price of one New York style
cheesecake
and
y
the price of
one apple cheesecake
. Based on the information provided, we can construct two equations:
7x + 4y= 116
8x + 12y = 244
We can
solve
for
x
in terms of
y
using the first equation:
7x= 116-4y\sx= (116-4y) / 7
When we plug this expression into the
second equation
for
x
, we get:
8[(116 - 4y) / 7] + 12y = 244
To
eliminate
the fraction,
multiply both sides by 7
.
8(116 - 4y) + 84y = 1708
Extending the parentheses and combining similar terms yields:
928-32y + 84y= 1708
When we simplify, we get the following:
52y = 780
When we
divide both sides by 52
, we get:
y = 15
We now know that
y = 15
; we can use either of the original equations to solve for x:
7x + 4(15) = 116
7x = 56
x = 8
Therefore, one
New York cheesecake costs $8
, and
one apple cheesecake costs $15
.
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Rajiv is expanding his garage by removing a wall that separates the garage from a closet. Which expressions can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall? Choose all the correct answers.
A. 14.5x + 12
B. 12(14.5 + x)
C. 174 + x
D. 26.5 + x
F. 12(14.5x)
G. 12x + 174
The expressions that can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall are
12(14.5 + x)12x + 174How to solve for the total surface areaWe have to solve for the total area of the garage of Rajiv after he had removed the wall
This is given as
12 * x + 12 * 14.5
= 12(14.5 + x)
Option B
When we expand the expression 12(14.5 + x)
174 + 12x
re written as
12x + 174
Option G
The expression that can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall is given as 12(14.5 + x), 12x + 174
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A game room has three circular targets to play darts with. Target A has a diameter of 14 inches, Target B has a radius of 10 inches, and target C has a circumference of 18π inches.
A. Which target is the largest? Justify your answer using the lengths of the radii of all three targets.
B. What is the circumference, in inches, of target A? Use 3.14 to approximate it.
C. What is the area, in square inches, of target C? Use 3.14 to approximate it.
(A). The largest target is Target B since it has the widest radius. (B). The size of Object A is around 44 inches around. (C). Target C has a surface area of around 254 square inches.
What does the term "circumference" mean?The length of a circle and perhaps other circular geometric object is referred to as its circumference. Anything in a double circular shape that is linear in one dimension is the perimeter.
A). We must contrast the radii of the three objects in order to compare their sizes.
Target A consists of a radius of 7 inches and a width of 14 inches.
The radius of Target B is 10 inches.
Target C has a circumference of 18π inches, so we can use the formula C = 2πr to find its radius:
18π = 2πr
r = 9 inches
Target B is the main market since it has the greatest radius.
B). The circumference of a circle is given by the formula C = 2πr, where r is the radius. For Target A, r = 7 inches, so:
C = 2πr
C = 2π(7)
C ≈ 44 inches (using 3.14 to approximate)
Target A's circumference is therefore around 44 inches.
C). The area of a circle is given by the formula A = πr², where r is the radius. For Target C, we know its circumference is 18π inches, so we can use the formula for circumference to find its radius:
C = 2πr
18π = 2πr
r = 9 inches
Target C's area is as follows because of its 9-inch radius:
A = πr²
A = π(9)²
A ≈ 254 square inches (using 3.14 to approximate)
Target C therefore has a surface area of around 254 square inches.
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19 Zul's password to unlock his mobile phone screen consists of 4 digits. Each digit can be chosen from 0, 1, 2, ..., 9. What is the probability to unlock the screen in one attempt if he knows (a) the first three digits are 970? (b) there are three 1s? (c) the last two digits are 00?
Answer:
(a) Since Zul's password consists of 4 digits and the first three digits are 970, there is only one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/10.
(b) If there are three 1s in the password, there is only one possible arrangement for the other digit. There are four places where the other digit can be placed, so there are four possible passwords. Thus, the probability to unlock the screen in one attempt is 4/10^4, which simplifies to 1/2500.
(c) If the last two digits are 00, there is only one possible arrangement for the first two digits. There are ten possible digits for the third digit and one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/(101010*1), which simplifies to 1/1000.
Determine the length and width of a rectangle if the perimeter is
26 and the length is four more than twice the width
The length and width of the rectangle are 10 and 3, respectively.
Let's use "l" to represent the length of the rectangle and "w" to represent the width. From the problem statement, we've got portions of information:
The perimeter is 26. The formulation for the perimeter of a rectangle is P = 2l + 2w. So we are able to write:
2l + 2w = 26
The length is four extra than twice the width. In equation shape:
l = 2w + four
Now we can use substitution to resolve for the length and width. we will alternative the expression 2w + 4 for l within the first equation:
2(2w + 4) + 2w = 26
Simplifying:
4w + 8 + 2w = 26
6w + 8 = 26
6w = 18
w = 3
So the width of the rectangle is three. To discover the length, we're going to substitute w = 3 into the equation for l:
l = 2w + 4 = 2(3) + 4 = 10
So the length of the rectangle is 10.
Thus, the length and width of the rectangle are 10 and 3, respectively.
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How do the factors of a polynomial function relate to the graph of the function?
For a function f(x) and a particular input value x=a, then we may write the difference quotient as
(f(a+h)−f(a))/h
where h≠0.
Now, let Q(x)=3x^2+5x+10 and consider the input value a=3. We could now write the difference quotient as
(Q(3+h)−Q(3))/h
where h≠0h≠0.
Use this difference quotient to calculate the average rate of change of f(x) from x=3 to x=3+h for the following particular values of h.
When h=0.2, the average rate of change of Q(x) is?
The average rate of change of Q(x) from x=3 to x=3+h for h=0.2 is 21.2.
To find the average rate of change of Q(x) from x=3 to x=3+h, we need to plug in the values of h and a into the difference quotient and simplify.
When h=0.2, the difference quotient becomes:
(Q(3+0.2)−Q(3))/0.2
= (Q(3.2)−Q(3))/0.2
= ((3(3.2)^2+5(3.2)+10)−(3(3)^2+5(3)+10))/0.2
= ((30.24+16+10)−(27+15+10))/0.2
= (56.24-52)/0.2
= 4.24/0.2
= 21.2
Therefore, when h=0.2, the average rate of change of Q(x) is 21.2.
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A box contains 5 balls numbered 1, 2, . . . , 5. In each trial
we remove one ball without replacement. Let X be the total number
of trials until all odd numbered balls are removed. Find V ar(3X +
2022
The variance of 3X + 2022 is -26.
The variable X in this scenario contains the total number of trials until all odd numbered balls are removed from the box without replacement. In order to find the variance of 3X + 2022, we can use the formula for the variance of a linear transformation: V ar(aX + b) = a^2V ar(X).
In this case, a = 3 and b = 2022, so the formula becomes: V ar(3X + 2022) = 3^2V ar(X) = 9V ar(X).
To find the variance of X, we can use the formula for the variance of a discrete random variable: V ar(X) = E(X^2) - [E(X)]^2.
Since X is the total number of trials until all odd numbered balls are removed, we can find E(X) by calculating the expected value of the number of trials until each odd numbered ball is removed. This can be done using the formula for the expected value of a geometric random variable: E(X) = 1/p, where p is the probability of success.
For the first odd numbered ball, the probability of success is 3/5, so E(X) = 1/(3/5) = 5/3. For the second odd numbered ball, the probability of success is 2/4, so E(X) = 1/(2/4) = 4/2 = 2. For the third odd numbered ball, the probability of success is 1/3, so E(X) = 1/(1/3) = 3/1 = 3.
Therefore, the expected value of X is E(X) = 5/3 + 2 + 3 = 14/3.
To find E(X^2), we can use the formula for the expected value of the square of a geometric random variable: E(X^2) = (2 - p)/p^2.
For the first odd numbered ball, E(X^2) = (2 - 3/5)/(3/5)^2 = (10/5 - 3/5)/(9/25) = 7/5 * 25/9 = 35/9. For the second odd numbered ball, E(X^2) = (2 - 2/4)/(2/4)^2 = (8/4 - 2/4)/(4/16) = 6/4 * 16/4 = 24/4 = 6. For the third odd numbered ball, E(X^2) = (2 - 1/3)/(1/3)^2 = (6/3 - 1/3)/(1/9) = 5/3 * 9/1 = 15.
Therefore, the expected value of X^2 is E(X^2) = 35/9 + 6 + 15 = 170/9.
Now we can find the variance of X: V ar(X) = E(X^2) - [E(X)]^2 = 170/9 - (14/3)^2 = 170/9 - 196/9 = -26/9.
Finally, we can find the variance of 3X + 2022: V ar(3X + 2022) = 9V ar(X) = 9(-26/9) = -26.
Therefore, the variance of 3X + 2022 is -26.
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(PLS HELP!!)
In the rectangle below, EI=3x+6, EG= 5x + 16, and m
Find the value of x and m ZIHE.
The value fo x is 4 and the angle is 45 degrees
How to determine the value fo x and the angleFrom the question, we have the following parameters that can be used in our computation:
The rectangle
The diagonals of a rectangle bisect each other
Using the above as a guide, we have the following:
2 * (3x + 6) = 5x + 16
So, we have
6x + 12 = 5x + 16
Evaluate the like terms
x = 4
Next, the diagonals of rectangle bisect the angles
So, we have
IHE = 45 degrees
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1. Write a function for the graph shown below. There is no stretching or shrinking involved.
From the graph of the function we determine, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].
What is an exponential function?A function is said to be an exponential function when the exponent is the independent variable.
Let, The given function be f(x) = abˣ.
Now, At x = 0,
1 = ab⁰.
a = 1.
Again at,
x = 3,
2 = a.b³.
b³ = 2.
b = [tex]2^{\frac{1}{3}[/tex].
Therefore, The given function is, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].
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What is the common ratio of this geometric sequence
Answer: 3
Step-by-step explanation:
Each number is being multiplied by 3 to get the next number
Answer:
The common ratio is 3
Step-by-step explanation:
Since this is a geometric sequence you know you will be either adding or dividing. If you do 3159/3 you get 1053 and if you divide 1053 by 3 you get 351. So therefore the common ratio of this sequence is 3
I'm assuming this problem is going left to right. Right?
6. This table shows the population of a town from years 2000 to 2008.
Year Population
x y
2000 236,732
2001 238,645
2002 239,839
2003241,046
2004 242,078
2005 245,259
2006 249,432
2007 254,538
2008 259,851
What is the average rate of change between the years 2002 and 2007?
A 2,398.25
B. 2,939.8
C. 3,335.33
D. 3,373.4
The average rate of change between the years 2002 and 2007 was 2,.939.8 (option B).
How to calculate the average rate of change?In demographics, the average rate of change refers to how much the population of a city, country, etc. changes over a year period usually by increasing or decreasing. Due to this, the rate of change can be calculated by using the following formula change in the population/ number of years.
239,839 (population in 2002) - 254,538 (population in 2007)
2007 - 2002 = 5 years (number of years)
14699 / 5 years = 2,.939.8 (option B)
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Given f(x) = x – x^2 and g(x) = 4x – 2 Remember to document your steps so that someone reading your solution can understand what you did how your work results in the answers you give
(a)simplify f(-3)
(b)simplify g(x^2)/2
(c)simplify f(g(x))
(d)simplify g(g(x))-x
We have the following answers:
(a)[tex]f(-3) = -12[/tex](b) [tex]g(x^2)/2 = 2x^2 - 1[/tex] (c) [tex]f(g(x)) = -16x^2 + 20x - 6[/tex](d) [tex]g(g(x)) - x = 15x - 10[/tex]Solution:
(a) To simplify [tex]f(-3)[/tex], we need to plug in [tex]-3[/tex] for [tex]x[/tex] in the function [tex]f(x) = x - x^2[/tex]:
[tex]f(-3) = (-3) - (-3)^2\\f(-3) = -3 - 9\\f(-3) = -12[/tex]
(b) To simplify [tex]g(x^2)/2[/tex], we need to plug in [tex]x^2[/tex] for [tex]x[/tex] in the function[tex]g(x) = 4x - 2[/tex], and then divide the result by 2:
[tex]g(x^2)/2 = (4(x^2) - 2)/2\\g(x^2)/2 = (4x^2 - 2)/2\\g(x^2)/2 = 2x^2 - 1[/tex]
(c) To simplify [tex]f(g(x))[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function[tex]f(x) = x - x^2[/tex]:
[tex]f(g(x)) = (4x - 2) - (4x - 2)^2\\f(g(x)) = 4x - 2 - (16x^2 - 16x + 4)\\f(g(x)) = -16x^2 + 20x - 6[/tex]
(d) To simplify [tex]g(g(x)) - x[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function [tex]g(x) = 4x - 2[/tex], and then subtract x from the result:
[tex]g(g(x)) - x = (4(4x - 2) - 2) - x\\g(g(x)) - x = (16x - 8 - 2) - x\\g(g(x)) - x = 15x - 10[/tex]
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Ranjit made pies for a fundraiser. He cut all the pies into eighths. After the first day of the fundraiser Ranjit sold 10 slices and had 2- of the pies left. Write and solve an equation to determine how many pies Ranjit made for the fundraiser.
If Ranjit made pies for a fundraiser. The number of pies Ranjit made for the fundraiser is: 26.
How to find the number of pies Ranjit?Let p = total number of pies that Ranjit made
Let s = Total number of slices of pie that he made.
Since each pie is cut into 8 slices, we have:
s = 8p
After the first day of the fundraiser, Ranjit sold 10 slices, which means he had s - 10 slices left. Since he had 2 whole pies left, we know that he had 16 slices left. Therefore:
s - 10 = 16
Substituting s = 8p, we get:
8p - 10 = 16
Adding 10 to both sides, we get:
8p = 26
Dividing both sides by 8, we get:
p = 3.25
This means that Ranjit made 3.25 pies for the fundraiser.
The total number of slices would have been:
s = 8p = 8(3.25) = 26
On the first day, he sold 10 slices, which means he had 16 slices left. This matches our initial calculation and confirms that our solution is correct.
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The variable a is jointly proportional to b and c. If a=79 when b=6and c=3, what is the value of a when b=3 and c=7? Round your answer to two decimal places if necessary.
The value of a is 92.17 when b=3 and c=7.
What is jointly proportional ?Jointly proportional refers to a relationship between two or more variables in which all of the variables increase or decrease together in the same ratio. For example, if one variable doubles, the other variables double as well.
The variable a is jointly proportional to b and c, which means that a = k*b*c, where k is the constant of proportionality.
We can use the given values of a, b, and c to find the value of k:
79 = k*6*3
79 = 18k
k = 79/18
Now that we know the value of k, we can use it to find the value of a when b=3 and c=7:
a = k*b*c
a = (79/18)*3*7
a = 92.17
Therefore, the value of a when b=3 and c=7 is 92.17.
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Avery had $25.40 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet after lunch?
A. $18.15
B. $18.30
C. $17.15
Answer:
Step-by-step explanation:
This question doesn't say how much her lunch cost.
Jeremy has GHC 502. 0. He gave Owiredu 3/10 of his money. How much did he give Owiredu?
The amount ( 3 /10 ) of total money given by Jeremy to Owiredu is equal to GHC 150.6.
Total amount of money with Jeremy in GHC is equal to 502.0
Amount of fraction of the money Jeremy gave to Owiredu is equal to
3 / 10.
Amount of money Jeremy gave to Owiredu is equal to
= ( 3 / 10 ) of GHC 502.0
= ( 3 / 10 ) × GHC 502.0
Multiply 3 to the 502.0 in the given expression we get,
= GHC ( 1506 / 10 )
Divide 1506 by 10 in the given expression we get,
= GHC 150 .6
Therefore, amount of money Jeremy gave to Owiredu is equal to GHC 150.6.
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What is the % of the votes did MRS Naido receive write the answers to theearst wholw%
Based on these numbers, M Venkaiah Naidu secured around 68% of the valid votes cast, while Gopalkrishna Gandhi received around 32%.
In the vice-presidential election, M Venkaiah Naidu received 516 valid votes, while his opponent Gopalkrishna Gandhi received 244 valid votes. The total number of valid votes cast was 760, which is the sum of the votes received by the two candidates.
It's worth noting that the 68% figure only represents the proportion of valid votes cast, which excludes any abstentions or spoiled ballots. Additionally, this percentage reflects the support M Venkaiah Naidu received among the MPs who voted and may not necessarily reflect the views of the general public or the broader electorate.
Overall, M Venkaiah Naidu's victory in the election was decisive, with a difference of 272 valid votes between him and Gopalkrishna Gandhi, which was greater than the latter's total number of votes.
Complete question:
According to BJP sources, around two dozen MPs from opposing parties disobeyed their leaders and supported M Venkaiah Naidu for vice president of the NDA. Against the estimated 495 votes of pledged support, Mr. Naidu received 516 votes.
With nearly 68% of genuine votes going to Venkaiah Naidu and 32% going to the opposition's Gopalkrishna Gandhi, who earned 244 votes, the difference between the two candidates was bigger at 272 than Mr. Gandhi's total.
What is the % of the votes did MRS Naido receive to write the answers to the east wholw%
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Find the missing side of each triangle round your answer to the nearest 10th if necessary.
Answer: x = 9
Step-by-step explanation:
We must use Pythagorean's Theorem, a² + b² = c².
Let a = x
a² + 12² = 15²
a² + 144 = 225
a² = 81
a = 9
x = 9
Hope this helps!
15% of 35 and show working out.
Answer: 5.25
Step-by-step explanation:
First, a percent divided by 100 is a decimal.
15% / 100 = 0.15
Next, we are finding 15% of 35. In mathematical terms, "of" usually represents multiplication. We will multiply 0.15 by 35 to find 15% of 35.
0.15 * 35 = 5.25
(8+5)/(y+6) how can this expressions best be described A. this is a quotient of two sums B. this is a difference of a quotient C. this is a sum and a difference D. this is a product of two sums (8+5)/(y+6)
In response to the aforementioned query, we may say that As a result, expressions the response is A. A quotient of two sums is this.
what is expression ?Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression. For example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
It is better to refer to the phrase (8+5)/(y+6) as "a quotient of two sums" since it divides the sum of 8 and 5 by the sum of y and 6.
As a result, the response is A. A quotient of two sums is this.
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Help me pleaseeeeeeee
26. The equation in slope-intercept form is y = 3x + 20.
27. The equation in slope-intercept form is y = (1/4)x - 11.
30. The equation in point-slope form is y - (-3) = -6(x - 2)
31. The equation in slope-intercept form is y = -6x + 9.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
26.
y-8 = 3(x+4)
y - 8 = 3x + 12 (distribute the 3)
y = 3x + 12 + 8 (add 8 to both sides)
y = 3x + 20
The equation in slope-intercept form is y = 3x + 20.
27.
y+5= (1/4)(x-24)
y + 5 = (1/4)x - 6
y = (1/4)x - 6 - 5
y = (1/4)x - 11
The equation in slope-intercept form is y = (1/4)x - 11.
To find the equation of a line with a slope of -6 that goes through (2,-3), we can use the point-slope form.
Point-slope form:
y - y₁ = m(x - x₁) where m is the slope and (x₁,y₁) is the point
Substituting m = -6, x₁ = 2, and y₁ = -3, we get:
y - (-3) = -6(x - 2)
y + 3 = -6x + 12
y = -6x + 9
The equation in slope-intercept form is y = -6x + 9.
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Are all equilateral triangles similar? Use transformation to explain.
Order the given steps for the perpendicular bisector construction of the segment below.
Answer: kdsl.dmcs
Step-by-step explanation: