Answer:
C
Step-by-step explanation:
Answer: The correct option is
(A) [tex]\dfrac{1}{9}.[/tex]
Step-by-step explanation: Given that y is directly proportional to x, and y = 6 when x = 54.
We are to find the constant of proportionality.
According to the given information, we can write that
[tex]y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow k=\dfrac{y}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
When y = 6 and x = 54, then from equation (i), we get
[tex]\dfrac{6}{54}=k\\\\\Rightarrow k=\dfrac{1}{9}.[/tex]
Thus, the required value of the constant of proportionality is [tex]\dfrac{1}{9}.[/tex]
Option (A) is CORRECT.
if f(1) =160 and f(n+1) = -2f(n), what is f(4)?
Answer:
-1280.
Step-by-step explanation:
f(n + 1) = -2 f(n):
As function of 1 = 160, function of 2 = -2 * 160 = -320.
function of 3 = -320 * -2 = 640 and
= function of 4 = 640 * -2 = -1280.
9x²+7x=0 Solve quadratic equation by factoring
Answer:
Step-by-step explanation:
9x²+7x=0
x(9x+7) =0
x=0 or 9x+7 =0
x=0 or x = -7/9
The quotient of a number and 3 is 8
Hey!
----------------------------------------------
[tex]\boxed{ \bf n~/~3~=~8}[/tex]
----------------------------------------------
Solution:
Number = n
Quotient of a number and three: n / 3
Is eight: = 8
End Result: n / 3 = 8
----------------------------------------------
Hope This Helped! Good Luck!
What is 3(-6)2 at the top ?
[tex]\huge\boxed{108}[/tex]
The [tex]^{-2}[/tex] only affects the [tex](-6)[/tex]. Let's solve that exponent first.
[tex]3(-6)^{-2}[/tex]
[tex]3(-6*-6)[/tex]
Multiply.
[tex]3*36[/tex]
Multiply one last time.
[tex]\boxed{108}[/tex]
Answer:
108
Step-by-step explanation:
Do the parentheses first with the exponent of 2 on the outside.
Multiply -6 times -6, which gets you 36.
After, multiply 36 by 3. Which gets you 108!
Final: 108
If the points (0,0), (-1, 1), and (-2,2) lie on the graph of function h, then which of the following rules could represent the
function?
Answer: h(x) = |x|
Explanation:
h(0) = |0| = 0
h(-1) = |-1| = 1
h(-2) = |-2| = 2
Answer: the second one
Hope that helps
Subtract using the number line.
−13−123
Select the location on the number line to plot the point.
Answer: -136
Step-by-step explanation:
123+13 is 136 you then change 136 into a negative since you were subtracting 123 from -13
Answer:
-136
Step-by-step explanation:
Here the given problem,
-13 - 123,
By using number line, we will follow the following steps,
Step 1 : Start from -13 in the number line,
Step 2 : Since, -123 is a negative number so, move 123 units left side from -13,
Step 3 : We will get -136, which is the answer.
That is,
-13 - 123 = -136
What is 10-2 simplified in standard form
Answer:
8
Step-by-step explanation:
10 - 2 can also be written as:
10
- 2
------
8
If events X and Y are independent, what must be true? Check all that apply.
P(
YX) = 0
P(
XY)=0
P(YX) = P(Y)
PY|X) = P(X)
OPXY)=P(Y)
P(X|Y) = P(X)
If events X and Y are independent, then following results are true:
[tex]P(Y/X) = P(Y)[/tex][tex]P(X/Y) = P(X)[/tex]What are independent events?" Independent events are defined as the events which are not depend on any other events."
Condition used for independent events
[tex]P(X\cap Y) = P(X) \times P(Y)[/tex]
According to the question,
Given event X and Y are independent,
[tex]P(X/Y) = \frac{P(X\cap Y)}{P(Y)}[/tex]
Substitute the value of [tex]P(X\cap Y)[/tex] we get,
[tex]P(X/Y) = \frac{P(X) \times P(Y)}{P(Y)}[/tex]
[tex]= P(X)[/tex]
Similarly for independent events X and Y we have,
[tex]P(Y/X) = \frac{P(X\cap Y)}{P(X)}[/tex]
Substitute the value of [tex]P(X\cap Y)[/tex] we get,
[tex]P(Y/X) = \frac{P(X) \times P(Y)}{P(X)}[/tex]
[tex]= P(Y)[/tex]
Hence, if events X and Y are independent, then following results are true:
[tex]P(Y/X) = P(Y)[/tex][tex]P(X/Y) = P(X)[/tex]Learn more about independent events here
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Identify the property used in each of the steps
Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
Step-by-step explanation:
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
1. Is the relationship shown by the data linear? If so, model the
data with an equation.
Please need help on this please
Answer:
C
Step-by-step explanation:
Given
x² - 10x + 24 = 0
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence
(x - 4)(x - 6) = 0 ← in factored form → C
Answer:
○ C (x - 4)(x - 6)
Step-by-step explanation:
According to the Quadratic Equation of x² - 10x + 24, you have to find two numbers that when added up to 10, they also multiply up to 24, and those would be 4 and 6, and determining which signs each quantities get would depend on the sign in the midst of the equation [-], so in this case, both 6 and 4 get the negative symbol because -6 - 4 gives you -10, which is what you see in the midst of the equation. So with that, you have your answer.
I am joyous to assist you anytime.
Find the value of y for which a the values of 5y+3 and 36–y are equal
plzzzz
Answer:
11/2
Step-by-step explanation:
5y+3=36-y
1) Subtract 3 from both sides:
5y=33-y
2) Add y to both sides:
6y=33
3) divide both sides by 6:
y=33/6
4) Simplify the fraction:
11/2
The value of y for which the values of 5y+3 and 36–y are equal = 11 / 2.
How to find the Value of the equation?Given:
5y+3 and 36-y
To find:
the value of y.
Step 1
Let the equation be
5y+3 = 36-y
Subtract 3 from both sides of the above equation
5y+3-3 = 36-y-3
Simplifying the equation, we get
5y = -y+33
Step 2
Adding y to both sides
5y+y = -y+33+y
Simplify
6y = 33
Divide both sides by 6, then we get
6y / 6 = 33 / 6
Simplify
y =11 / 2
Therefore, the correct answer is y = 11 / 2.
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If it is 5:00 pm in Bloomington, OH, what time is it in St. Louis, MO?
Answer:
Should be 4:00 pm
Step-by-step explanation:
What is the value of 1 exponent 102? What is the value of any power of 1? Justify your answer.
The value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.
What is Exponents and power?A number's exponent indicates how many times the number has been multiplied by itself.
: Since 2 is multiplied by itself 4 times, 2x 2 x 2x 2 can be expressed as [tex]2^4[/tex]. Here, 4 is referred to as the "exponent" or "power," while 2 is referred to as the "base."
Given:
[tex]1^{102[/tex] = ?
Now, if we have
1² = 1 x 1 = 1
1³ = 1 x 1x 1 = 1
.
.
.
[tex]1^{50[/tex]= 1 x 1 x 1 x 1 x 1 x ................(50 times) = 1
and, [tex]1^{102[/tex] = 1 x 1 x 1 x 1 x 1 x ................(102 times) = 1
Hence, the value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.
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Final answer:
The value of 1 raised to any power, including 1 exponent 102, is 1. When you multiply 1 by itself any number of times, the result is always 1 because the identity property of multiplication states that any number multiplied by 1 remains unchanged.
Explanation:
The value of 1 exponent 102, or $1^{102}$, is 1. In fact, the value of any power of 1 is always 1. To understand this, let's think of the exponent as how many instances of a number are multiplied together. When you multiply 1 by itself any number of times, the result remains 1 because multiplying by 1 does not change the value of the original number. Thus, 1 to any power, whether it's 1 or 102, will still give us 1.
Using these principles, let's address another problem without entering scientific notation into your calculator. To evaluate $(4.506 \times 10^4) \times (1.003 \times 10^2)$, we can multiply the coefficients (4.506 \times 1.003) and then add the exponents of 10 (4 + 2), since when powers of 10 are multiplied together, the exponents are added. The result is approximately 4.514518 \times 10^6.
A house has increased in value by 34% since it was purchased the current value is 469,000 what is the value when it was purchased
The original purchase price of the house was approximately $350,000. This is determined by dividing the current value by 1.34, since the current value represents 134% of the original price. Housing prices generally rise over time, but there can be periods of significant drop.
Explanation:To find the original purchase price of the house before the increase, we need to understand that the current value represents 100% + 34% = 134% of the original price. Therefore, we can set up the equation 469,000 = 1.34*X, where X is the original value. We can solve for X by dividing both sides by 1.34, which gives X = 469,000 / 1.34, approximately $350,000. Therefore, the house was purchased for about $350,000.
It is important to note that housing prices can fluctuate over time. For example, housing prices have usually risen steadily over time but there are periods where they have dropped significantly, like the housing bust between 2008 and 2009. However, housing is typically considered a safe financial investment over the long term.
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How do you calculate your overall gpa from your cumulative gpa?
Answer:
Your grade point average (GPA) is calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted. Your grade point average may range from 0.0 to a 4.0. To get the example student's GPA, the total grade points are divided by the total credit hours attempted. To calculate your cumulative G.P.A., total the credit hours and then the grade points from all semesters. Divide the total grade points by the total credit hours.
Hope this helps.
To calculate your overall GPA from your cumulative GPA, multiply each grade by the number of credit hours, sum up all the grade points, and divide by the total number of credit hours.
Explanation:To calculate your overall GPA from your cumulative GPA, you will need to determine the total number of grade points earned and the total number of credit hours taken. To do this, multiply each grade received by the number of credit hours for that course. Then, sum up all the grade points and divide by the total number of credit hours. This will give you your overall GPA.
Here is an example:
Course A: Grade - B (3.0), Credit Hours - 3Course B: Grade - A (4.0), Credit Hours - 4Course C: Grade - C (2.0), Credit Hours - 2Total grade points: (3.0 x 3) + (4.0 x 4) + (2.0 x 2) = 9.0 + 16.0 + 4.0 = 29.0
Total credit hours: 3 + 4 + 2 = 9
Overall GPA: 29.0 / 9 = 3.22
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Round 919,827 to each place value in the table
Nearest 1000: 920,000
Nearest 100: 919,800
Nearest 10: 919,830
Answer:
nearest 1000- 10,000
nearest 100- 800
nearest 10- 30
The quotient of a number 2 is 7
Answer:14
Step-by-step explanation:
(((PICTURE ATTACHED))) please help
Solve the equation 5.3g+9=2.3g+15.
g=2
5.3g+9−2.3g=2.3g+15−2.3g
3g+9=15
3g+9−9=15−9
3g=6
3g/3=6/3
therefore, g=2
hope i helped ^__^
Answer:
The solution for the equation is [tex]g=2[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]5.3g+9=2.3g+15[/tex]
Subtract 2.3g from both sides.
[tex]5.3g-2.3g+9=2.3g-2.3g+15[/tex]
[tex]3g+9=15[/tex]
Subtract 9 from both sides.
[tex]3g+9-9=15-9[/tex]
[tex]3g=6[/tex]
Divide both sides by 3.
[tex]\frac{3g}{3}=\frac{6}{3}[/tex]
[tex]g=2[/tex]
Hence, the solution for the equation is [tex]g=2[/tex].
3/2x - 2/3x=2
I need the answer for this, please. And with steps on how you got the answer because I dont understand it. Find the value for x
Answer
[tex]x = 0 \: or \: 4.17 \times {10}^{ - 1} [/tex] ( 5 /12 )
[tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]
multiplying the denominators to get the L.C.M since there is no common factor.
[tex]2x \times 3x = 6 {x}^{2} [/tex]
as the L.C .M
so now the general equation becomes
[tex] \frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2[/tex]
[tex] \frac{9x - 4x}{6 {x}^{2} } = 2[/tex]
[tex]5x = 6 {x}^{2} \times 2[/tex]
[tex]5x = 12 {x}^{2} [/tex]
[tex]12 {x}^{2} - 5x = 0[/tex]
factorizing x
[tex]x(12x - 5) = 0[/tex]
[tex]x = 0[/tex]
[tex]12x - 5 = 0[/tex]
[tex]12x = 5[/tex]
[tex]x = \frac{5}{12} [/tex]
[tex]x = 0.416[/tex]
[tex]x = 4.17 \times {10}^{ - 1} [/tex]
Gary and Ann have a joint checking account. Their balance at the beginning of October was $9145.87.
During the month they made deposits totaling $2783.71, wrote checks for $4871.90, paid a maintenance
fee of $12, and earned $11.15 in interest on the account. What was the balance at the end of the month?
Answer:
The balance at the end of the month was $7,056.83
Step-by-step explanation:
we know that
The balance at the end of the month is equal to the balance at the beginning of the month plus deposits and interest minus checks and maintenance fee
so
9,145.87+(2,783.71+11.15)-(4,871.90+12)
9,145.87+(2,794.86)-(4,883.90)=$7,056.83
Answer:
The balance was $ 7,056.83
Step-by-step explanation:
Given,
The original balance in beginning of the month = $9145.87,
The amount of deposit = $2783.71,
So, new balance after depositing = $9145.87 + $2783.71 = $ 11929.58,
Check amount = $4871.90,
After clearing check, the new balance = $ 11929.58 - $ 4871.90 = $ 7057.68,
Also, after charging $ 12 fees, new balance = $ 7057.68 - $ 12 = $ 7045.68,
Finally getting $ 11.15 interest,
The final balance at the end of month = $ 7045.68 + $ 11 = $ 7,056.83
please answer! ill give you brainliest :)
Answer:
answer what?
Step-by-step explanation:
The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers
The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula: Time = Distance / Speed. So, the travel time for the plane would be 900 / r hours.
Explanation:The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula:
Time = Distance / Speed
Since the distance is given as 900 kilometers and the rate is given as r kilometers per hour, the travel time can be written as:
Time = 900 / r
So, the travel time for the plane would be 900 / r hours.
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This is solving polynomial equations with factoring, “algebra” I have no idea how to start this problem or even solve it. Please help!
[tex]\bf x^2-ax+bx-ab=0\implies \stackrel{\textit{grouping first}}{(x^2-ax)+(bx-ab)}=0 \\\\\\ \stackrel{\textit{common factor}}{x\underline{(x-a)}+b\underline{(x-a)}}=0\implies \stackrel{\textit{common factor}}{\underline{(x-a)}(x+b)}=0\implies \begin{cases} x-a=0\\ \boxed{x=a}\\ \cline{1-1} x+b=0\\ \boxed{x=-b} \end{cases}[/tex]
Find the slope for (3,4) and (3,-4)
Answer:
undefined
The problem:
Find the slope for the line going through (3,4) and (3,-4).
Step-by-step explanation:
Line up points vertically and subtract.
Then put 2nd difference over 1st.
( 3 , 4)
-(3 , -4)
------------
0 8
So the slope would have been 8/0 but this is undefined.
So the slope is undefined.
Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run. Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.
square root 1/4 +square root 9/4 -square root 45
Answer:
[tex]-\frac{85}{2}[/tex]
Step-by-step explanation:
[tex]|\frac{1}{4} |+|\frac{9}{4}| -|45|[/tex]
Simplify the expression.
[tex]\frac{1}{4} +\frac{9}{4} = \frac{5}{2}[/tex]
[tex]\frac{5}{2}-45=-\frac{85}{2}[/tex]
Answer:
2 + 3 √5
Step-by-step explanation:
√(1/4) = 1/2
√(9/4) = 3/2
√(45)= √(9×5)= 3 √5
√(1/4)+√(9/4)+√(45) 1/2 +3/2 + 3 √5 = 2 + 3 √5
20 Points, Please explain answer.
Lia claims that a reflection over the y-axis will always carry a circle drawn on the coordinate plane to a circle with the same center and the same radius. Which statement best describes Lia's claim?
A
Lia is correct as a reflected circle will always have the same center and always have the same radius as the original circle.
B
Lia is incorrect as a reflected circle will not always have the same radius and will not always have the same center as the original circle.
C
Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.
D
Lia is incorrect in stating that the reflected circle will always have the same radius, but is correct in stating that the reflected circle will always have the same center.
Answer: YOUR ANSWER WOULD BE B
Step-by-step explanation: Your answer would be B because when you reflect something on the y-axis it always goes one cube or dashed line forward so it will not have the same radius nor the circle hope this helps you alot
Answer:
C. Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.Step-by-step explanation:
Lia's claim is not correct, because when we reflect a figure, its coordinates variate. In this case, Lisa is trying to reflect a circle over the y-axis, which will change y-axis coordinates. The center of the circle is gonna change its y-axis coordinate, for example, if the center is [tex]C(2;3)[/tex], its reflection will be [tex]C(2;-3)[/tex]
Therefore, the center of the circle will not remain the same. However, the radius will be the same, because changing y-axis coordinates don't affect the distance between the center and the circumference of the circle.
So, the correct answer is option C.
Kevin walks 2/3 of a mile in 2/5 of an hr. How many miles can he walk in 1 hr
Your answer would be 6/10, or 3/5
(2 / 5) / (2 / 3) = 0.6
and 0.6 as a fraction is 6/10
6/10 simplified is 3/5
Hopefully I got this right, I'm not 100%
LAST ONE PLS HELP
Adding which of the following ordered pairs to the set {(1,-2), (0,4), (2,-3)} would make it not a function?
A. (-1, -2)
B. (3, 5)
C. (0, 2)
D. (-2, 1)
It's D.
It might be wrong, but if i was to answer, this is what i would put.
Answer: Hello there!
your set is {(1,-2), (0,4), (2,-3)} where the pairs have the form (x,y)
You want to know with pair you need to add to this set in order to make it "not a function"
The priority rule for a function is the unicity; this means that each value of x has only one value of y associated; or:
if f(x) = y1 and f(x) = y2, then y1 = y2
(notice that a given value of y can be related to different values of x; for example the function f(x) = x^2 has the same y value for x and -x)
Then the problem is if we add the pair (0,2), of option C.
because we already have a pair with the value of x = 0, in the form of (0,4), and these two pairs would have a different value of y for the same value of x, then this set doesn't represent a function anymore.
Then the correct option is C