Take a look at the figure. What is the value of y?
A. y = 32 B. y = 64 C. y = 14 D. y = 16
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Related Questions
Which one describes the translation of f(x) to g(x) ?
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Answer:
a
Step-by-step explanation:
Find the distance between the points (-2, 4) and (4, -6).
2√2
2√(10)
2√(34)
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Answer: The correct option is (C) 2√34.
Step-by-step explanation: We are given to find the distance between the points (-2, 4) and (4, -6).
We have the distance formula as follows :
DISTANCE FORMULA :
The distance between the points (a, b) and (c, d) is given as
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (-2, 4) and (4, -6) is given by
[tex]D\\\\=\sqrt{(4-(-2))^2+(-6-4)^2}\\\\=\sqrt{6^2+10^2}\\\\=\sqrt{36+100}\\\\=\sqrt{136}\\\\=\sqrt{4\times34}\\\\=2\sqrt{34}.[/tex]
Thus, the required distance between the given points is 2√34 units.
Option (C) is CORRECT.
Mitchell has a balance of $1,200 in his first state bank checking account. he deposits a $387.89 pay check, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he gave in his account after the transaction ????
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hope this helps if it does please click the heart and give me five stars
The total present money in his account after all the $400 withdrawals is $1875.01.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Total present money initially = $1200
Deposits check = 387.89 + 437.12 + 250 = $1075.01
Total money after deposit = 1200 + 1075.01 = $2275.01
Money remains after withdrawals of $400
⇒ $2275.01 - $400 = $1875.01.
Hence "The total present money in his account after all the $400 withdrawals is $1875.01".
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what is the measure of each interior angle in a regular hexagon?
HELP?
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720 ÷ 6 = 120
therefore each angle is 120°
Determine the range of this set of data.
89,73,84,91,87,77,94
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94+73= 167
Divide 167 by 2 because you added only 2 numbers
167 divided by 2 is 83.5
So your answer is 83.5 or 84 if you want to round it up
One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
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To find Joe's total sales when one-eleventh are cash sales amounting to $380, multiply the cash sales by 11, which results in a total of $4180.
To find Joe's total sales, one would apply the concept of proportions in mathematics. Here is a step-by-step breakdown of the problem:
Identify the fraction of total sales that are cash, which is one-eleventh.
Understand that $380 equals this fraction of the total sales.
To find the total sales, divide the cash sales by the fraction that represents cash sales 1/11
Calculate the total sales by using the following equation: Total Sales = Cash Sales / (1/11) = $380 / (1/11).
Perform the division: Total Sales = $380 * 11 = $4180.
Hence, Joe's total sales for the week were $4180.
(04.07)the balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
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The balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
Answer:
6 months
If growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12 thn in 6 months the f(x) balance is greater than the g(x) balance.
What type of financial institution account grows?excessive-yield financial savings accounts stand out from conventional financial savings bills in that they praise you with a better interest rate, permitting your cash to grow even quicker as it sits on your account. The interest charge that these debts provide is noted as APY or annual percentage yield.
What account grows the most cash?fees and minimal balance: CDs tend to pay the very best hobby prices of the 3 varieties of savings bills. They commonly require around $1,000 to open, but there are CDs without a minimum beginning balance requirement. CDs typically don't rate a month-to-month rate.
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Trent spent 50 minutes at the neighbors house. He spent 2/5 of the time swimming. How many minutes did Trent spend swimming
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50(0.4)= 20
Trent spent 20 minutes swimming at the neighbors’ house.
Chrissy walked 550 meters in 7 minutes and 20 seconds. If each lap is 25 meters, which is Chrissy’s MOST LIKELY time per lap in seconds? *A) 20 seconds b. 22 seconds c 42 seconds d. 64 seconds
Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2.75 per gallon and Marin’s car gets 25 gallons of gas per mile, about how much does Martin spend on gas to get to work? a. 3.87 b. 4.05 c. 10.64 d. 11.14
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He took 440 seconds to complete all of the laps.
440/22 is 20. he takes 20 seconds per lap
45*2.25 is 101.25 miles to get to work
101.25/25 is 4.05 gallons to get to work
4.05*2.75 is 11.14 that he spends each day to get to work
-3(w-3)≥9-3w
If all real numbers can solve please tell me why
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Answer: " w = (all real numbers) " —as explained below.
_________
Step-by-step explanation:
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
→ " -3(w – 3) ≥ 9 – 3w " ;
_________
Method 1):
_________
On the "right-hand side" of the "inequality";
Factor out a "(-3)" ;
_________
" -3(w – 3) ≥ ( -3 * ? = 9?) – (-3 * ? = 3w? ) " ;
_________
1) " -3 * (what value?) = 9 "?
Let "x" be the 'unknown value' :
→ " -3x = 9 " ;
Divide each side of the equation by "(-3)" ;
to isolate "x" on one of the equation;
& to solve for "x" ;
-3x / -3 = 9 / -3 ;
to get: " x = -3 " ;
_________
2) " -3 * (what value?) = 3w " ?
Let "x" be the 'unknown value' :
→ " -3x = 3w " ? ;
→ Divide each side or the equation by ("-3").
→ to isolate "x" on one side of the equation;
→ & to solve for "x" ;
-3x / 3 = 3w / -3 ;
to get: x = -1w ;
_________
So: " -3(w – 3) ≥ -3* (? = 9?) – (-3 * ? = 3w?) " ;
_________
Rewrite as:
" -3(w – 3) ≥ -3* [(-3 – (-1w)] " ;
_________
Now, let us consider the Following Portion of the "right-hand side" of the inequality:;
" (-3 – (-1w)] = " (-3 + 1w) " ;
→ {since: "subtracting a "negative value is the equivalent of adding that particular value's positive value"} ;
and bring down the "(-3)" on the "right-hand side" of the inequality; and rewrite the inequality as:
_________
" -3(w – 3) ≥ -3(-3 + 1w) " ;
→ Now, divide EACH SIDE of the inequality by "(-3)" :
{Note: Each time when one multiplies or divides an inequality by a "negative value"—the inequality sign flips to the other direction.}.
→ [ -3(w – 3)] / -3 ≥ [-3(-3 + 1w ] / -3 ;
to get:
→ " (w – 3) ≤ (-3 + 1w) " ;
_________
Note: " (-3 + 1w) " ; ↔ " [(1w + (-3)] = " 1w – 3 " = "w – 3 " ;
_________
Rewrite the inequality:
_________
→ " (w – 3) ≤ (w – 3 ) " ;
↔ " w – 3 ≤ w – 3 " ;
The same value is equal to each other: not less than or equal to each other: For instance:
→ " w – 3 ≤ w – 3 " ;
If we add "3" to each side of the equation:
→ " w – 3 + 3 ≤ w – 3 + 3 " ;
We get: " w ≤ w " . "w = w". "w is not "less than" itself. So all real numbers apply!
_________
Method 2)
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
On the "left-hand side of the inequality;
we have:
_________
" -3(w – 3) " ;
_________
Take note of the "distributive property of multiplication" :
→ " a(b + c) = ab + ac " ;
_________
As such:
_________
We can expand:
" -3(w – 3) = (-3*w) + (-3*-3) " ;
= -3w + (9) ;
_________
Now, we can rewrite the original inequality:
_________
" -3w + 9 ≥ 9 – 3w " ;
_________
Note: " -3w + 9 = 9 + (-3w) = 9 – 3w " ;
→ {since: adding a "negative value" gets the same value as subtracting that value's "positive equivalent"};
And we can rewrite our inequality as:
_________
" 9 – 3w ≥ 9 – 3w " ;
_________
Note: We have the same value on each side.
"(9 – 3w)" is not greater than itself; it is "equal to itself".
Any and all real numbers as values for "w" will result in the same value for any particular expression's Exact Same Expression!
_________
So: "w = (all real numbers)" .
_________
Hope this is helpful to you!
Best wishes!
_________
what is the value of x?
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What os a comparison of two quantities and can be written as a fraction when the two quantities have two different units?
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Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?
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132/6.25 = 21.12
He needs to work 21.12 hours to earn $132.
Hope this helps, and May the Force Be With You!
-Jabba
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
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Answer:
3 months
Step-by-step explanation:
Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = [tex]\frac{60}{20}[/tex] = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
Linear equations can be solved by applying arithmetic operations separately for variables and constants. If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money
Let us assumed that the saving of Jaclyn and Pedro will be the same after n months.
Now, from the given data.
Saving of Jaclyn = $ 120
Amount earned by Jaclyn per month = $ 40
Total amount in hand of Jaclyn after work for n months will be the addition of current saving and the amount earned by Jaclyn after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 120 + 40n[/tex],
Similarly, the saving of Pedro = $ 180
Amount earned by Pedro per month = $ 20
Total amount in hand of Pedro after work for n months will be the addition of current saving and the amount earned by Pedro after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 180 + 20n[/tex]
According to the question,
[tex]\begin{aligned}&120 + 40n = 180 + 20n\\&40n = 180 + 20n - 120\\&40n - 20n = 60\\&20n = 60\\&n=\dfrac{60}{20}\\&n=3\end{aligned}[/tex]
Hence, If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money.
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When is the sum of two complex numbers a real number? When is the sum of two complex numbers an imaginary number?
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w = a+bi
z = c+di
where a,b,c,d are real numbers and i = sqrt(-1)
---------------------------
When is w+z purely real? When there is no imaginary part at all. Adding w and z gives
w+z = (a+bi) + (c+di)
w+z = (a+c) + (bi+di)
w+z = (a+c) + (b+d)i
The imaginary part here is (b+d)i. If we set it equal to zero, then we get
(b+d)i = 0
b+d = 0
b = -d
So if b = -d, then w+z is purely real. For instance, if w = 2+3i and z = 7-3i then
w+z = (2+3i)+(7-3i) = (2+7)+(3-3)i = 9+0i = 9
The result 9 being purely real without any imaginary part.
--------------------------
When is w+z purely imaginary? We'll follow the same path of logic but instead of setting the imaginary part to zero, we do that to the real part
Again,
w+z = (a+bi) + (c+di)
w+z = (a+c) + (bi+di)
w+z = (a+c) + (b+d)i
Set the real part (a+c) equal to zero and solve for zero
(a+c) = 0
a+c = 0
a = -c
When a = -c, then the sum of the complex numbers is purely imaginary
Example:
w = 9+12i
z = -9-14i
w+z = (9+12i)+(-9-14i)
w+z = (9-9)+(12i-14i)
w+z = (9-9)+(12-14)i
w+z = (0)+(-2)i
w+z = -2i
which is purely imaginary (with no real parts)
--------------------------
Both cases are very similar: if the corresponding values are equal but opposite, then we have cancellations to go from complex to purely real or purely imaginary. Depending of course on which values you set opposite.
The exception is that if a = -c and b = -d together, then w+z = 0 is purely real
The sum of two complex numbers resulting in a real or imaginary number depends on the cancellation of their real or imaginary components upon addition.
When the sum of two complex numbers is a real number: For the sum of two complex numbers to be a real number, their imaginary parts must cancel each other out. This happens when the imaginary parts have equal magnitude but opposite signs, resulting in the cancellation upon addition.
When the sum of two complex numbers is an imaginary number: The sum of two complex numbers is an imaginary number when the real parts cancel each other out. This occurs when the real parts have equal magnitude but opposite signs, leading to the elimination of the real components.
if five more than three times x is equal to 32, find the value of x.
it also says to show all work so that would really be appreciated!!
Answers
-5 -5
3x = 27
/3 /3
x = 9
3x + 5 = 32
Now, let's subtract both sides by 5:
3x + 5 = 32
-5 -5
3x = 27
Now divide both sides by 3
x = 9
Hope this helps!
Write an equation in slope-intercept form of the line with slope 5 and y-intercept -4.
A. y = -4x + 5
B. y = 5x + 4
C. y = 5x - 4
D. 5x - y = 4
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How is a rational number that is not an integer different from a rational number that is an integer?
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Real numbers can either be rational or irrational. ... A rational number is a numberwhich can be written as a ratio of two whole numbers (integers). For example 5 is arational number since 5 can be written as ratio of 5 : 1 . 5 is also an integer. 2.5 is arational number since it is a ratio of 5 : 2 .
Hope it helps :)
The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are needed for 15 chandeliers
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BN =6n
n = chandeliers
you have 15 chandeliers so n = 15
so BN = 6(15)
BN = 90
you will need 90 light bulbs
What is the value of g? 3g + 4 5 = 4g - 8 4?
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So, just move like numbers near each other. This way, you get 4g-3g=45-84, which means g= -39.
Answer: g=7
Step-by-step explanation:
Simplify.
(4a^5b^6)^4
^ means exponent
256a^20 b^24
256a^9 b^10
16a^9 b^10
16a^20 b^24
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[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^{n\cdot m}\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^{5\cdot4}b^{6\cdot4}=256a^{20}b^{24}[/tex]
Len and three of his friends decide to rent a house and split the cost evenly. They each paid $725 towards the total move-in cost of first month's rent, last month's rent, and a security deposit. If rent is $800 per month, how much was the security deposit?
a.
$575
b.
$725
c.
$1,300
d.
$2,100
Answers
Answer:
its 1300
Step-by-step explanation:
dora gets paid an hourly wage, which increases if she works over 40 hours per week. she worked a total of h hours last week, and the number of dollars she got paid was 30 ×40+45 ×(h-40). what does 45 represent in this situation?
A. the number of dollars per hour she got paid for all hours under 40
B. the number of dollars per hour she got paid for all hours over 40
C. the number of hours she worked over 40
D. the total number of hours she worked
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let me try to explain this...
the 30 * 40 is saying that she normally gets paid $ 30 per hr for 40 hrs
the (h - 40) is the number of hrs after 40 hrs
the 45 is saying that for any hrs after 40 hrs, she gets paid $ 45 per hr
so ur answer is : B. the number of dollars per hr she got paid for all hrs over 40.
I hope this helps and have a wonderful day filled with joy!!
Marcus and three of his friends are guessing the radius of a circular pond. They read that the circumference is 157 ft, so they can use the equation 3.14*2r=157 to determine which of these guesses which form the replacement set {20,25,30,35} is correct?.
What is the radius of the pond?
A. 20ft
B. 25ft
C. 30ft
D. 35ft
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Answer:
Option B. 25 ft
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=157\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
substitute in the formula
[tex]157=2(3.14)r[/tex]
Solve for r
Divide by 2(3.14) both sides
[tex]r=157\(2(3.14))[/tex]
[tex]r=25\ ft[/tex]
Please help me whith this it is due today.
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For 2a, since a change in the y value (it goes up or down) means that the volume of juice changes, since there is no change in the y value when the line is horizontal that means that the amount of juice is not changing and Ellie is therefore not drinking from it at that time. The answer for 2b would be that it goes at an angle due to that when Ellie drinks from the juice box, the amount of juice decreases and is shown with 'Volume in milliliters'. Next, since it decreases, it therefore cannot stay in a straight line and therefore goes at an angle
How many atoms are there in 2.50 mol of carbon dioxide? complete the response using standard scientific notation?
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In this question, the carbon dioxide unit is already in mol so you don't need to find the molecular weight of the carbon dioxide. Carbon dioxide chemical formula would be CO2 which means every 1 carbon dioxide molecule is made of 3 atoms, 1 carbon atom and 2 oxygen atoms.
Then, the number of atoms in 2.5 mol of carbon dioxide would be:
2.5 mol * 3 * 6.02 *10^23 atoms/mol =
45.15 * 10^23 =
4.52 * 10^24 atoms
What is the product? (7.1×10 ^4)⋅(4.8×10 ^3)
3.408×10^7
3.408×10^8
3.408×10^12
3.408×10^13
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Please give me Brainliest! :)
The height of a triangle is 4 feet more than four times the length of the base. The area is 24 square feet. Find the base and the height. Show your work and explain the steps you used to find the solution in order to receive full credit.
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H= 4+ 4B
A=24 square feet
Know that the area of a triangle formula is 1/2 x b x h.
A=1/2 x b x h
Plug in the known values and solve for the base.
24= .5 x B x (4+4B)
48=B(4+4B)
48=4B+4B^2
12= B + B^2
0=B^2 + B -12
0=(B+4)(B-3)
B= -4, 3
This solution gives us two answers, so plug both into the formula to find the correct answer.
24=.5 x -4 x (4+4(-4))
48= -4 x (-12)
48=48
24= .5 x 3 x (4+4(3))
48= 3 x (4+12)
48= 3(16)
48=48
It looks like both work, so either answer is correct.
Change the equation x^2+8x+y^2-12y=12 to graphing form
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Im not sure if this is what your looking for
When Angela begins her drive, she is 400 mi from home. She drives at an average of 50 mph until she gets home. Graph the situation.