Answer:
x= y+3/2 -3
Step-by-step explanation:
y+3/2=x+3
y+3/2-3=x
The line y = 2x + 3 on plotted graph.
Given that,
To determine whether the graph matches the equation y+3=2(x+3)
The line is a curve showing the shortest distance between 2 points.
The standard form of the equation of the line can be given as y = mx +c
Here,
y+3=2(x+3)
Simplifying the equation
y = 2x + 6 - 3
y = 2x + 3
The above-simplified equation represents the equation of line with slope and y-intercept as 2 and (0,3) respectively.
Thus, the line y = 2x + 3 on plotted graph.
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The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Write 2.71 repeating as a simplified fraction.
271/100 is wrong
Answer:
269/99
Step-by-step explanation:
Find the value of x and the values of the missing angles. 12 points!
Answer:
X=30
Step-by-step explanation:
4x+x+x=6x 180/6=30 so 4x= 120
x on the bottom left is just 30 and x on the right is 30x3
yo whats i lowkey cant think rn 3/4 times 2 ??
Answer:
1.5 in a decimal
Step-by-step explanation:
i hope it helps
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
What term has the y, in the equation 3y + 4 = x
-12 will be the term for y
Let us suppose that x= 0
then we will get
3y + 4 = x
and then it will be
3y+ 4 = 0
Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side
3y= -4
now,
3y = 1/4
y = 1/[4*3]
y=1/12
y= - 12
Hence the answer will be y= -12
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A group of 7 friends is planning a hike. Each friend will need of a gallon of water to drink during the hike. How many gallons of water will the group need for the hike?
The sales tax rate on a new vehicle is 6.5%. If the vehicle is $12,000, then how much will you be charged for sales tax
PLS HELP ITS MY BDAY TOMORROW
Jay measured the lengths of 16 fish.
Use the graph below to estimate the lower
and upper quartiles of the lengths.
Cumulative frequency
20-
18-
16-
14-
12-
10-
8-
6-
4-
+ NO
2-
0
-10
Lengths of fish
10 15 20 25 30 35 40
Length (inches)
Answer:
lower quartile: 10upper quartile: 25Step-by-step explanation:
You want to use the graph to estimate the lower and upper quartiles of the lengths of the 16 fish that Jay measured.
QuartilesThe lower quartile is comprised of the 1/4 of the total number of fish that are the shortest. The graph shows that 4/16 of the fish are 10 inches or less, so the lower quartile is 10 inches.
The upper quartile is comprised of the 1/4 of the total number of fish that are the longest. The graph shows that 12/16 of the fish are 25 inches or less, so 4/16 of the fish are 25 inches or more. The upper quartile is 25 inches.
The lower and upper quartiles are 10 inches and 25 inches, respectively.
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Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?
Answer: 3 were blue
Step-by-step explanation:
Blue + Red = 18....so.....
B + 5B = 18
6B = 18
B =18 / 6 = 3 blue
How much would you need to deposit in an account now in order to have $6000 in the account in 10years? Assume the account earns 3% interest compounded quarterly. Round your answer to thenearest cent.Submit Question
$4450.05
Explanations:The formula for calculating the compound ammount is expressed as:
\(A=P(1+\frac{r}{n})^{nt}\)Given the following parameters
• Amount after 10 years A = $6000
,• P is the amount deposited
,• r is the rate = 3% = 0.03
,• t is the time t = 10 years
,• n = 4 (compounding time)
Substitute the given parameters
\(\begin{gathered} 6000=P(1+\frac{0.03}{4})^{4(10)} \\ 6000=P(1.0075)^{40} \\ 6000=P(1.3483) \end{gathered}\)Divide both sides by 1.3483
\(\begin{gathered} P=\frac{6000}{1.3483} \\ P=\$4450.05 \end{gathered}\)Hence the amount you need to deposit now is $4450.05
A certain forest covers an area of 2100 km sq. Suppose that each year this area decreases by 4%. What will the area be after 10 years?
round your answer to the nearest square kilometer.
The area of the forest will be approximately 1396 km sq. after 10 years.
What will the area be after 10 years?Given that, a forest covers an area of 2100 km sq and that each year this area decreases by 4%..
Initial value = 2100rate = 4%Elapsed time = 10 yearsIf the area of the forest decreases by 4% each year, then after one year it will be 96% of the original size.
After two years, it will be 96% of 96% of the original size, or 0.96² of the original size.
After ten years, it will be 96% of itself ten times, or 0.96¹⁰ of the original size.
So the area of the forest after 10 years will be:
Area = Initial area × 0.96¹⁰
Area = 2100 km sq × 0.96¹⁰
Area = 1396 km sq
Therefore, the area of the forest cover in 10 years will be 1396 km sq.
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What is the median of these figure skating ratings 5.0,6.0,7.0,8.0,9.0,10.0
Answer:
7.5
Step-by-step explanation:
5.0 - 10.0 = 5.0 ÷ 2 = 2.5 + 5.0 = 7.5
The payroll register of Wang Heritage Co indicates $2,058 of social security withheld and $514.50 of Medicare tax withheld on total salaries of $34,300 for the period. Earnings of $10,600 are subject to state and federal unemployment compensation taxes at the federal rate of 0.8% and the state rate of 5.4%. Provide the journal entry to record the payroll tax expense for the period. If an amount box does not require an entry, leave it blank. Round to two decimal places. Payroll Tax Expense Social Security Tax Payable Medicare Tax Payable State Unemployment Tax Payable Federal Unemployment Tax Payable
Answer:
Date X, Month Y, payroll taxes expense
Dr FICA (OASDI) taxes expense 2,058
Dr FICA (Medicare) taxes expense 514.50
Dr FUTA taxes expense 84.80
Dr SUTA taxes expense 572.40
Cr Dr FICA (OASDI) taxes payable 2,058
Cr FICA (Medicare) taxes payable 514.50
Cr FUTA taxes payable 84.80
Cr SUTA taxes payable 572.40
Step-by-step explanation:
The amount of employer's FICA taxes expense is the same as the FICA taxes withheld from employees' salaries. Since the question asked for the journal entry to record payroll taxes, wages expense is not included.
Here is the histogram of a data distribution.What is the shape of this distribution?A.Unimodal skewed rightB.UniformC.Unimodal skewed leftD.BimodalE.Unimodal symmetric
Answer:
D. Bimodal
Explanation:
The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is
D. Bimodal.
The distance to the nearest exit door is less than 200 feet.Used to represent the distance (in feet) to the nearest exit door.<[D2хTo qualify for the championship, a runner must complete the racein no more than 40 minutes.Use t to represent the time (in minutes) of a runner who qualifies for thechamplonship.
Answer:
\(\begin{gathered} d<200\text{ ft} \\ t\le40 \end{gathered}\)Step-by-step explanation:
The symbol for less than is ''<'', then for the distance to the nearest exit door that is less than 200 feet:
\(d<200\text{ ft}\)Since the runner must complete no more than a certain time, it is represented by less or equal than ''≤''
\(t\le40\)If MN is a midsegment triangle ABS, find the values of x and y. (picture attached
Answer:
f
Step-by-step explanation:
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
help me with this math please, my life kinda depend on this, but please help fast! ill give brainlyist
Parent function f(x) = 1/2ˣ will be translated Vertically compress by a factor of 1/3, which gives a function f(x) = 1/2ˣ - 1/3.
Define translation.A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) (x + 5, y + 3).
Given
Parent function
f(x) = 1/2ˣ
Vertically compress by a factor of 1/3
Translation
f(x) = x - k
f(x) = 1/2ˣ - 1/3
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5. There are 12 people on a basketball team. The coach chooses 3 players to stay after practice and
clean up. The order in which they are chosen does not matter. How many ways can the players be
chosen?
Answer:
Hm...
Step-by-step explanation:
12/3=4
Players: A, B, C, D, E, F, G, H, I, J, K, L, M
ABC
ABD
ACD
ABE
ECK
ELM
EJH
IAB
DCH
there are multiple ways.
The number of ways the players can be chosen is 220.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
Number of people = n = 12
Number of people to be chosen = c = 3
Now,
The formula for combination.
= \(^nC_r\)
= n! / r! (n - r)!
Now,
\(^{12}C_3\)
= 12! / 3! (12 - 3)!
= 12! / 3! x 9!
= 12 x 11 x 10 / 3 x 2
= 220
Thus,
The number of ways is 220.
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The picture shows a triangular island
Which expression shows the value of c?
b/tan 45°
b/COS 45°
a cos 45º
a tan 45°
=============================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(45) = b/c
c*cos(45) = b
c = b/cos(45)
In the third step, I multiplied both sides by c. Afterward, I divided both sides by cos(45) to isolate c.
Answer:
ans: b/cos45
Step-by-step explanation:
as we know that cos45=b/c
then, c/b=1/cos45
therefore, c=b/cos45
Help i ran out of answers to sseeee PLZ COMMENT
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Answer:
Subtract 5x
Step-by-step explanation:
Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!
Answer:
this is what i used as my answer on the advice i would give tucker for what to do as his first step.
Step-by-step explanation:
i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.
Which did you include in your response?:Either first step will isolate the variable.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
Step-by-step explanation:
2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
(72 divided by 8) second one, 72 divided by (8 - 2),third one, 72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.
Step-by-step explanation:
Write a multiplication expression without exponents that is equivalent to 3^4
How many factors of 3 did you write?
Answer:
Answer: 3⁴ = 3×3×3×3
3⁴ means multiply four threes together.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
You just needed to Multiply maning the three, 4 times
if f(1) =2 and f(n)= f(n-1)-3 find the value of f(5)
Answer:
f(5) = -10
Step-by-step explanation:
Let's go through the calculation step by step to find the value of f(5) using the given recursive formula f(n) = f(n-1) - 3.
Start with the initial value f(1) = 2, as given in the problem.
To find f(2), we use the recursive formula f(n) = f(n-1) - 3. Since n = 2, we have f(2) = f(1) - 3. Plugging in the value of f(1) as 2, we get f(2) = 2 - 3 = -1.
Continuing the pattern, we find f(3) = f(2) - 3 = -1 - 3 = -4. We subtract 3 from the previous term f(2) to obtain f(3).
Moving on, f(4) = f(3) - 3 = -4 - 3 = -7. Again, we subtract 3 from the previous term f(3) to calculate f(4).
Finally, f(5) = f(4) - 3 = -7 - 3 = -10. Following the recursive formula, we subtract 3 from the previous term f(4) to determine f(5).
Therefore, the value of f(5) is -10.
Hope this helps!
Suppose a dress originally cost $58.00. It is on sale for 25% off. Then a 6% sales tax is added to the discounted price. How much does the customer pay???
i asked this question 3 times.. no one respond... PLEASE help I have a quiz
Answer:
29.00
Step-by-step explanation:
Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles after the discount?
Answer:
$31.5
Step-by-step explanation:
-$45
-30 percent off of $45
30 times 45 divided by 100
1350/100
13.5
45-13.5
$31.5
Will mark as brainliest if correct!
Answer:
B. 70°
Step-by-step explanation:
∠3 and ∠5 are consecutive interior angles. Consecutive interior angles are supplementary. This means that the sum of the angles will equal 180°.
We know that ∠3 = 110°.
To find ∠5, we have to subtract 110 from 180.
\(180-110\\=70\)
So, the measure of ∠5 = 70°.
\(70+110=180\)
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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(2x² + 4x - 7) = (x + 5).
Answer:
\(2 {x}^{2} +4 x - 7 = x + 5 \\ 2 {x}^{2} + 4x - x - 7 - 5 = 0 \\ 2 {x}^{2} + 3x - 12 =0 \\ \\ \)
USING THE QUADRATIC FORMULA
\(x = \frac{ - 3 + - \sqrt{ {3}^{2} - 4(2)( - 12)} }{2(2)} \\ \\ x = \frac{ - 3 + \sqrt{105} }{4} or \\ \\ x = - \frac{3 + \sqrt{105} }{4} \)
HOPE THIS HELPS