Answer:
x = 1
Step-by-step explanation:
If you graph this, you will see that you will get a line that is straight up and down (or perpendicular to the x axis). No matter what y is, x will always be 1.
a scuba diver descended at a rate of 2 1/4 per second. If 0 represents the surface of the water and distances below the surface are negative,which expression represents one way to calculate the location of the diver after 12 1/2 seconds?
To calculate the location of the diver after 12 1/2 seconds, use the formula: location = initial location - (rate of descent * time). The location of the diver after 12 1/2 seconds is -28.
Explanation:To calculate the location of the diver after 12 1/2 seconds, we can use the formula: location = initial location - (rate of descent * time). Since the diver is descending at a rate of 2 1/4 per second, we can plug in the values to calculate their location after 12 1/2 seconds.
Initial location: 0 (surface of the water)
Rate of descent: 2 1/4 per second
Time: 12 1/2 seconds
Using the formula, we have: location = 0 - (2 1/4 * 12 1/2)
Calculating the expression, we find that the location of the diver after 12 1/2 seconds is -28.
X/3 is equivalent to 1/3X
Answer:
This is true
Step-by-step explanation:
When looking at x itself it is just ONE x. 1x=x, the 1x isn't necessary to have so it is shown as x. So looking at x/3 you could say it is also 1x/3 which would still be the same if it were 1/3x. Both would still be considered one-third OF x.
The answer is "[tex]3x=3x[/tex]"
Equating:
[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\x=?[/tex]
Cross multiplying the given expression:
[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\\to 3x=3x[/tex]
Therefore, the given statement is "True"
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What is the y-intercept of the line defined by the equation y + 3x - 4 = 0?
-4
-4/3
4/3
4
Answer:
y intercept is 4
Step-by-step explanation:
rearranging the equation,
y = -3x + 4
so 4 is the intercept on y axis
Scarlett has set up a lemonade stand outside her house and sells small cups and large
cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup
hold 20 ounces of lemonade. Scarlett sold 70 cups of lemonade totaling 1000 ounces.
Determine the number of small cups sold and the number of large cups sold.
Answer: 40 small cups sold and 30 large cups sold.
Step-by-step explanation:
Let be "s" the number of small cups sold and "l" the number of large cups sold.
Based on the information given in the exercise, you can set up the following system of equations:
[tex]\left \{ {{s+l=70} \atop {10s+20l=1000 }} \right.[/tex]
You can use the Elimination Method to solve the system of equations:
1. Multiply the first equation by -10.
2. Add both equations.
3. Solve for "l".
Then, you get:
[tex]\left \{ {{-10s-10l=-700} \atop {10s+20l=1000 }} \right.\\.........................\\10l=300\\\\l=\frac{300}{10}\\\\l=30[/tex]
4. Finally, substitute the value of "l" into any original equation and solve for the variable "s" in order to find its value.
This is:
[tex]s+30=70\\\\s=70-30\\\\s=40[/tex]
Here is a list of incoming and outgoing expenditure for the arena, for one day. Work out the final profit of the arena rounded to the nearest thousand. Incoming / Outgoing Profit / Cost Events £22,765 Staff -£6,711 Security -£3,452 Maintenance -£500 Merchandise £967 The final profit of the arena rounded to the nearest thousand is
Answer:
Final Profit = £11,000
Step-by-step explanation:
Incoming / Outgoing Profit / Cost Events £22,765
Staff £6,711
Security £3,452
Maintenance £500
Merchandise £967
Final Profit = £22,765 - £6,711 - £3,452 - £500 - £967 = £11,135
Jason begins at the start of a path and rides his bike 11 1/2 miles on the path
The path is 12 1/4 miles long
Enter the distance in miles Jason must ride to reach the end of the path.
Answer:
Jason has to ride 0.75 i.e. [tex]\frac{3}{4}[/tex] miles to reach the end of the path.
Step-by-step explanation:
Jason begins at the start of a path and rides his bike [tex]11\frac{1}{2}[/tex] miles on the path . The path is [tex]12\frac{1}{4}[/tex] miles long.
Therefore, the path is 12.25 miles long and Jason rides the distance of 11.5 miles.
We are asked to determine the distance that Jason must ride to reach the end.
Hence, Jason has to ride (12.25 - 11.5) = 0.75 i.e. [tex]\frac{3}{4}[/tex] miles to reach the end of the path. (Answer)
HALP ME PLZ::: Find the value of k if it is known that the line y=kx+5 goes through point (−6, 14).
Answer:
k = -3/2
Step-by-step explanation:
Write the equation of the line.
Replace x and y with the x- and y-coordinates, respectively, of the point.
Solve for k.
y = kx + 5
Replace x with -6. Replace y with 14.
14 = k(-6) + 5
Solve for k.
14 = -6k + 5
9 = -6k
k = -9/6
k = -3/2
Answer:
-7/6
Step-by-step explanation:
You know that x = -6 and y = 14 so you can plug them into your equation like this:
12= k(-6) + 5
Then solve for k
12-5 = 7
k = -7/6
What is the standard deviation of the data set? Round to the nearest tenth if needed.
2, 4, 7, 8, 9
Ο
Ο
2.9
Ο
7
Ο
2.6
Answer:
The standard deviation is 2.6076809621.Step-by-step explanation:
The set of values are 2, 4, 7, 8, 9.
The mean of these values are [tex]\frac{2 + 4 + 7 + 8 + 9}{5} = \frac{30}{5} = 6[/tex].
The mean of the squares of the differences of these numbers and the mean is [tex]\frac{(6 - 2)^{2} + (6 - 4)^{2} + (6 - 7)^{2} + (6 - 8)^{2} + (6 - 9)^{2}}{5} = \frac{(4)^{2} + (2)^{2} + (-1)^{2} + (-2)^{2} + (-3)^{2}}{5} = \frac{34}{5} = 6.8[/tex].
In order to get the value of the standard deviation, we need to square-root the value of 6.8.
Hence, the standard deviation of the data set is [tex]\sqrt{6.8} = 2.607680962081[/tex] ≅2.6076809621.
Answer:
Correct answer is 2.9.
Took the test.
the function f (x) = 1n ( x ) has been transformed so that there is a vertical asymptote at x= -3 what is the equation of the resulting function g ( x) ?
A: g (x) = 1n (x)-3
B: g (x) = 1n (x) + 3
C: g (x) = 1n ( x-3)
D: g = 1n ( x +3)
Answer:
C
Step-by-step explanation:
The equation of the function g(x) after the transformation is g(x) = kn(x - 3).
What are Vertical Asymptotes?A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches c.
Given a function f(x) = = ln (x).
The vertical asymptote of the logarithmic function is x = 0.
If the vertical asymptote of the new function is x = 3, this means that the function is shifted to the right by 3 units.
When f(x) is shifted to right by k units, new function is f(x - k).
So the function g(x) is,
g(x) = f(x - 3) = ln (x - 3).
Hence the correct option is C.
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Use the drop-down menus to complete each equation so the statement about its solution is true.
Answer:
Part A: For no solution ⇒ 3x + 9 + 4x + x = 8x + 0
Part B: For one solution ⇒ 3x + 9 + 4x + x = 0 * x + 1
Part C: For infinitely many solutions ⇒ 3x + 9 + 4x + x = 8x + 9
====================================
Step-by-step explanation:
Part A:
3x + 9 + 4x + x = 8x
8x + 9 = 8x ⇒ Subtract 6x from both sides,
9 = 0 which is absurd and hence the equation has no solution.
=====================================
Part B:
3x + 9 + 4x + x = 0 * x + 1
∴ 3x + 9 + 4x + x = 1
8x + 9 = 1 ⇒ Subtract 9 from both sides.
8x = 1 - 9 = -8 ⇒ Divide both sides by 8.
x = -1 ⇒ this is the only solution.
======================================
Part C:
3x + 9 + 4x + x = 8x + 9
8x + 9 = 8x + 9
Subtract 8x from both sides,
9 = 9, both sides are balanced which means, the equation has infinitely many solutions.
Answer:
See diagram below:
Step-by-step explanation:
What is the equation of the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3
Answer:
12x+3y+1 = 0
Step-by-step explanation:
see see the image for the better explanation.
please ask if something is not clear.
Answer:
Step-by-step explanation:
just deez its d btw
A hockey player is offered two options for a contract: either a base salary of 50,000 and 1000 per goal, or a base salary of 40,000 and 1500 per goal. How may goals must he score in order to make the same money as the first contract?
Final answer:
The hockey player must score 20 goals to make the same money as the first contract.
Explanation:
In order to make the same amount of money as the first contract, the hockey player must calculate the number of goals required. Let's assume the player needs to score 'x' goals.
For the first contract, the total salary would be 50000 + 1000x. For the second contract, the total salary would be 40000 + 1500x.
Equating the two salaries, we get:
50000 + 1000x = 40000 + 1500x
Subtracting 1000x from both sides, we get:
50000 = 40000 + 500x
Subtracting 40000 from both sides, we get:
10000 = 500x
Dividing both sides by 500, we get:
x = 20
So, in order to make the same money as the first contract, the player must score 20 goals.
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers. The company has monthly operating expenses of $350 for utilities and $3300 for salaries. Write the linear equation to model the company's monthly expenses in the form y=mx+b
Answer:
y=2.5x+3650
Step-by-step explanation:
since you don't know the amount of units sold you make that x
you do know that the company has to pay a set amount each month for utilities and salaries. 350+3300
put this together, and you get the equation:
y=2.5x+3650
y=total expenses
2.5= price per unit
x= total units sold
3650=amount payed each month for utilities, and salaries
Simplify the expression.
(6.75) =
The expression (6.75) is already in its simplest form. This is because 6.75 is a decimal number that cannot be reduced further or broken down into a simpler expression.
Explanation:The mathematical expression you've shared, (6.75), is already considered to be in its simplest form. Therefore, simplifying the expression doesn't change it because 6.75 is a decimal number. It can't be reduced further or broken down into a simpler expression. The expression remains as is, which is 6.75. In mathematics, simplifying an expression typically involves combining like terms or reducing fractions, however, this is not applicable in this situation as you've provided a single decimal number.
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What is the solution to the system of equations? 6x-3y=3 and y=2x-4
Answer:
empty set or have no soln
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = 2x + 4....this is just a matter of substitution...so sub in 2x + 4 for y back into the other equation
6x - 3y = 3
6x - 3(2x + 4) = 3......distribute the -3 thru the parenthesis
6x - 6x - 12 = 3 ...combine like terms
-12 = 3 (incorrect)
these equations have NO SOLUTION because they are parallel lines
You have 6 red marbles, 7 green and 2 blue marbles. What is the probability of pulling a red marble and then without replacing the first marble grabbing a green marble?
Answer:
P(red marble) = 6÷15
Step-by-step explanation:
First, we add all of it we get 15.
Now the probability of getting a red marble will be = number of favorable outcomes ÷ total out comes.
Here the favorable outcomes to red is 6,and the total outcome is 15.
So it is 6÷15.
Now we took one marble. And kept it away.
Now the total number of outcomes are 15-1=14
Now the favorable outcomes for green is 7,snd total outcomes are 14.
So the probability is 7÷14.
Remember don't subtract the one marble u took in every similar question. Do it only if it is told to keep away the first marble you took.
Feel free to ask any further questions and also pls follow me and make this the brainliest answer.
Find The original price of a motorbike if you got a 10% discount and paid a final price of $2160 for it
Answer:
2376
Step-by-step explanation:
2160×1.10
i believe it is this
Final answer:
The original price of the motorbike is calculated by dividing the final price of $2160 by 0.9, which represents the 90% price paid after a 10% discount. The original price of the motorbike was $2400 before the discount was applied.
Explanation:
The question asked us to calculate the original price of a motorbike before a 10% discount was applied and the final price came down to $2160. To do this, we recognize that the final price ($2160) is 90% of the original price because a 10% discount was given. Thus, if we let the original price be 100%, we can find it by dividing the final price by 0.9 (which represents 90%).
Here's the step-by-step calculation:
Express the discount as a decimal: 10% = 0.1.
Determine the percentage of the original price paid: 100% - 10% = 90% = 0.9.
Calculate the original price: Original Price = Final Price / 0.9.
Substitute the known value: Original Price = $2160 / 0.9.
Perform the division to find the original price: Original Price = $2400.
The original price of the motorbike was therefore $2400 before the discount.
The dairy king hold 64 cups of ice cream jerry uses a scoop that hold 1/4.how many scoops of ice cream can jerry get out each bucket of ice cream
Answer:
16 cups
Step-by-step explanation:
64 × .25=16
When the total amount of ice cream, 64 cups, is divided by the scoop size, which is 1/4 cup, it gives us 256. Therefore, Jerry can get 256 scoops of ice cream from each bucket.
Explanation:The amount of ice cream in each bucket is given as 64 cups. Jerry's scoop holds 1/4 cup of ice cream. In order to figure out how many scoops Jerry can get from one bucket, we need to divide the total amount of ice cream (64 cups) by the amount Jerry's scoop holds (1/4 cup).
To carry out this operation, we divide 64 by 1/4 which is equivalent to multiplying 64 by the reciprocal of 1/4 (i.e., 4/1 or simply 4). This results in 64 * 4 = 256. So, Jerry can get 256 scoops of ice cream out of each bucket.
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3(m+7)=6(m+2) what is m equal to?
Answer:
see attached picture please
STEPS:
1. Start my distributing through the parentheses on each side
of the equation to get 3m + 21 = 6m + 12.
2. Now move your m's to the right and numbers to the left
and you get 9 = 3m.
3. Divide both sides by 3 and 3 = m.
Work is attached.
0.7 is 5% of what number
75 of 145 is what......................................................
Answer:
10875
Step-by-step explanation:
of always means you have to multiply
Answer:
51.72
Step-by-step explanation:
Percentage Calculator: 75 is what percent of 145? = 51.72.
A circle of center (a, o) passes through the point (o, -a) find it equation
Answer:
(x -a)^2 + y^2 = 2a^2
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:
d^2 = r^2 = (x2-x1)^2 +(y2 -y1)^2 = (0-a)^2 +(-a-0)^2 = 2a^2
Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...
(x -a)^2 +y^2 = 2a^2
Miguel collected aluminum cans for recycling. he collected a total of 150 cans. how many of the cans Miguel collected were not soda cans?
To find the number of non-soda cans collected by Miguel, subtract the number of soda cans from the total number of cans he collected.
Explanation:Miguel collected a total of 150 aluminum cans for recycling. The question asks how many of these cans were not soda cans. To find the answer, we need to subtract the number of soda cans from the total number of cans collected. Let's say x represents the number of soda cans. So, the number of non-soda cans would be 150 - x.
This table shows the starting and ending temperature for eight days.
Starting temperature (°F) 130 115 100 85 70 55 40 25
Ending temperature (°F) 20 24 26 30 32 36 40 42
Use the data from the table to create a scatter plot.
Answer:
Using excel, we can form the table to create a scatter plot, as shown in attached figure.
Step-by-step explanation:
Given the starting temperature (°F) as
130 115 100 85 70 55 40 25Given the ending temperature (°F) as
20 24 26 30 32 36 40 42Consider starting temperature (°F) as the x-axis and ending temperature (°F) as y-axis
Using excel, we can form the table to create a scatter plot, as shown in attached figure.
Keywords: data, scatter plot, table
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What is 3a-2a+6= Simplified?
Answer:
1a + 6 or a + 6
Step-by-step explanation:
3a - 2a + 6
3a - 2a = 1a or a
1a + 6 or a + 6
plz mark brainliest i just need 3 more plz plz plz
Answer:
3a-2a+6= (3-2)×a + 6 = (1)×a + 6 = a + 6
The value of y varies directly with x, and y = 63 when x = 14. Find y when x = 28. I have been stuck on this for a while...
y = 112
y = 126
y = 4.5
y = 6.2
(the answer choices)
I think it is the second one
Simplify 3(4x + 2) - 6x
6-6x
6x+6
2-6x
6x+2
3(4x + 2) - 6x
12x + 6 - 6x
6x + 6
Hope this helps! ;)
Answer:
The correct answer is B. 6x + 6
Step-by-step explanation:
Let's simplify the expression, this way:
3(4x + 2) - 6x
12x + 6 - 6x
6x + 6
After solving the parenthesis, multiplying, adding and subtracting, the correct answer is B. 6x + 6
lim (8-3x+12x^2)
x 2
Simplify each expression then factor the expression 14-28t-5(7+10t)
Answer:
Simplified: -21-98t
Factored: -7(14t+3)
Step-by-step explanation:
The given expresion is:
14-28t-5(7+10t)
We expand the parenthesis to get:
[tex]14 - 28t -35 - 70t[/tex]
We group like terms to get:
[tex]14 -35 - 28t- 70t[/tex]
We combine similar terms to get:
[tex] - 21- 98t[/tex]
We now factor to obtain:
[tex] - 21- 98t = - 7(14t + 3)[/tex]
Write as an equation: The sides of a triangle are 7, x and (x + 1). The perimeter is 30.
A. 30 =7+ (x+1)
B. 30 - 7 = 2x
C. 30 = 7 + 2(x + 1)
D.30 = 8+2x
Answer:
d
This is because 7+x+1=30 (this is the equation btw).
You combine the like terms so you get 30=8+2x (7+1 and x+x)
do the equation so you get:
30=8+2x
-8 -8
22=2x
divide both sides by 2
11=x
Answer:
D
Step-by-step explanation:
Perimeter = addition of all sides
30 = 7 + x + x + 1
30 = 8 + 2x
Collecting like terms
30 - 8 = 2x
22 = 2x
Dividing by 2
22/2 = 2x/2
11 = x