Answer:
y=2x
Step-by-step explanation:
we can set x=number of week, and y=inches
as you can see, 1 week-> x=1 :y=2(1) = 2 inches
2 week-> x=2 :y=2(2)=4 inches
**if we substitute x to y = 2x + 2 and y = 4x + 2, it will not works.
Need help with 10 and 11
The owner of a pool cleaning business wants to know how much time, on average, his workers
spend cleaning a pool. Last week, 7 employees each worked a 6-hour shift. In all, they cleaned
42 pools. Which is the most appropriate unit in which to calculate an answer to his question?
A. pools per employee
B. pools per day
C. employees per pool
D. hours per pool
Answer:
C. employees per pool...
The perimeter of a rectangular deck measured 130 m. What are the possible
dimensions of the deck?
Answer:
The possible dimensions of the deck can be anything that adds up to be 130 m.
Step-by-step explanation:
The perimeter could be 1m x 64m.
Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.
The perimeter could be 15m x 50m.
Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.
If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Answer:
[tex] \displaystyle 0.344[/tex]
Step-by-step explanation:
we are given that a coin is tossed 6 times and we want to find the probability of getting at most 2 heads.
To solve this problem,we can consider binomial distribution, which is given by
[tex] \displaystyle P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} [/tex]
where:
P = binomial probabilityr = number of times for a specific outcome within n trials[tex]{n \choose r}[/tex] = number of combinationsp = probability of success on a single trialq = probability of failure on a single trialn = number of trialswe want to figure out the probability of getting at most 2 heads out of 6 trials , The probability can therefore be found by adding up all the binomial distributions including X=2 and less than it, Thus
[tex] \displaystyle P(X \leq 2) = P(X=0)+P(X=1)+P(X=2) [/tex]
[tex] \displaystyle P(X \leq 2) = \binom{6}{0} {p}^{0} {q}^{6 - 0} + \binom{6}{1} {p}^{1} {q}^{6- 1} + \binom{6}{2} {p}^{2} {q}^{6 - 2} [/tex]
when a coin is tossed, the probability of getting both head (success) and tail (failure) are ½ which is why ,the variables, p and q are assigned to ½. therefore substitute
[tex] \rm\displaystyle P(X \leq 2) = \binom{6}{0} { \left( \frac{1}{2} \right) }^{0} { \bigg( \frac{1}{2} \bigg) }^{ 6- 0} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{1} { \bigg( \frac{1}{2} \bigg) }^{6 - 1} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg)}^{2} { \bigg( \frac{1}{2} \bigg) }^{6- 2} [/tex]
since p and q are the same. it won't make any difference to write all the product of p and q as (½)⁶:
[tex]\rm\displaystyle P(X \leq 2) = \binom{6}{0} { \bigg( \frac{1}{2} \bigg) }^{ 6} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{6} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg) }^{6}[/tex]
In the expression the term (½)⁶ is common thus factor it out:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left( \binom{6}{0} + \binom{6}{1} + \binom{6}{2} \right) [/tex]
calculate the combinations:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(1+6+15\right) [/tex]
simplify addition:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(22\right) [/tex]
simplify exponent:
[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{64}\bigg) } \left(22\right) [/tex]
simplify multiplication:
[tex]\rm\displaystyle P(X \leq 2) = \frac{22}{64} [/tex]
dividing yields:
[tex]\rm\displaystyle P(X \leq 2) = 0.34375 [/tex]
[tex]\rm\displaystyle P(X \leq 2) \approx 0.344 [/tex]
In conclusion
The answer is 0.344
exponential functions
Answer:
An exponential function is a Mathematical function in form f (x) = ax.
[tex]f(x) = ax[/tex]
Step-by-step explanation:
where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
NoTe: The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
if u need any help, just tell me know
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?
Step-by-step explanation:
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.
The second word problem is:
It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)
Cost= m x+b
x is the cost per shirt, b is the handling charge
295=40m+b
565=80m+b
subtract the first equation from the second:
370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b
One the second question,
Cost= variable cost * n + Fixedcosts or
cost= n*v+F
1250=500v+f
1050=100v+f
subtract the second equation from the first
200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.
24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.
Please solve it for me
Answer:
When x takes the value of 4, the expression takes the value of 9.
Step-by-step explanation:
We are given that the expression:
[tex]\displaystyle ax^2 + bx + c[/tex]
Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.
And we want to determine the value of the expression when x = 4.
The expression evaluates to 0 when x = 1. In other words:
[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]
We can complete the same for the other two:
[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]
This yields a triple system of equations:
[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]
Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:
[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]
Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:
[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]
Hence:
[tex]a = 1[/tex]
Solve for b:
[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]
And finally, solve for c:
[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]
Hence, our expression is:
[tex]\displaystyle x^2 -2x + 1[/tex]
Then when x = 4:
[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]
In conclusion, when x = 4, the resulting value is 9.
The perimeter of a rectangular plot of land is 280 feet. If one of the sides of the rectangular plot is 50 feet in length, what is the length, in feet, of each of the longer sides of the plot?
Answer:
90 feet.
Step-by-step explanation:
2 sides are 50 feet long = 100 feet.
That leaves 280 - 100 = 180 feet.
So the length of the longer sides are both 90 feet.
Samantha's car used 3 gallons to travel 51 miles. At what rate does the car use gas, in miles per gallon?
Answer:
17 miles per gallon
Step-by-step explanation:
Divide 51 by 3. Here's a better way to understand it:
Create a ratio to represent miles to gallons: 51-to-3
To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.
51/3 = 17miles/gallon
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Let the breadth of the garden be a, therefore the length of the garden is (a+5).
The perimeter of the garden is the sum of all its sides, therefore:
Perimeter = a + a + (a+5) + (a+5) = 150
Simplifying the LHS of the equation:
4a +10 = 150
Subtracting 10 from both sides of the equation:
4a = 140
Dividing both sides by 4:
a = 35 = breadth
Therefore the length of the garden = (a + 5) = 40
Recall that the area of the garden is its length multiplied by its breadth, therefore:
Area = 35*40 = 1400
Answer:
area=1400
Step-by-step explanation:
length(l)=x+5
breadth(b)=x
Perimeter=2(l+b)
150 =2(x+5+x)
150 =2x+10+2x
150-10=4x
140=4x
x=35
therefore breadth=35
length=40
area=l*b
=35*40
=1400
a) When I add 8 the answer is 30.
Answer:
if we add 8 then the answer will be 30"
because
if 22is added 8 then it became 30
22+8= 30
simple
Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week
60 days or 8.5 weeks
Step-by-step explanation:
1800-600=1200
1200/20=60
60/7=8.5
Find the probability of prime or cube between 1 to 39
Answer: List of prime numbers before 39: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.
Step-by-step explanation:
Answer:
la numerencia es
Step-by-step explanation:
39 1 5 68
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
a= r/2L solve for r, please help me!!
Answer:
r = 2L * a
Step-by-step explanation:
a= r/2L
then:
2L * a = 2L*r/2L
r = 2L * a
5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?
A recipe for fluffy slime calls for 3 3/4 cups of shaving
cream, 1/2 cup of glue, 1/2 teaspoon of baking soda
and 1 1/2 tablespoons of saline solution; this is
enough for 2 people. How much shaving cream
would you need if you were making enough slime
for ten people?
Answer:
75/4 cups (or 18-3/4 cups)
Step-by-step explanation:
2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream
10 people ----> requires 5 times the amount of shaving cream needed for 2 people
Hence shaving cream is needed for 10 people
= 5 x 3 3/4 cups
= 5 x 15/4 cups
= 75/4 cups (or 18-3/4 cups)
lemme know if it helped <3. and lemme me know if it's right :) .!
YO I NEED HELP PLEASE!!
1. The sum of 6 times a number n and 4 times a number n is -30.
What is the number?
2. Four less than the product of 6 and a number n is -30.
What is the number? _____
3. Four less than the product of 6 and a number n is -30.
What is the number? _____
Answer:
1. n = -3
6n + 4n = -30
10n = -30
n = -3
Which of the following is equivalent to 6.32x10^-3?
A. 0.632
B. 0.0632
C. 0.00632
D. 0.000632
Answer:
c. 0.00632
Step-by-step explanation:
Since 10 is raised to a negative 3, this means that the zeros come before the non-zero digits
What’s equivalent too -4+y+4y-5x+2x-3
Hey there!
-4 + y + 4y - 5x + 2x - 3
COMBINE the LIKE TERMS
= (-5x + 2x) + (y + 4y) + (-4 - 3)
= -3x + 5y - 7
Answer: -3x + 5y - 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
which of the following is an improper fraction 1 DIVIDE 2 or 4 Divide 25 or 25 divide 7 of None of these
Answer:
25 divide 7
Step-by-step explanation:
hope this helps you
Can someone answer this!!!
Answer:
To South
Step-by-step explanation:
note the directions that are given on the left side
Answer:
यो त युनाइटेड स्टेट्स अफ अमेरिका हो।
I need help urgent Please will give brainly
Answer:
The order you placed it in at first was correct.
Step-by-step explanation:
I need help plzzzz and thx
Answer:
The answer is
x=³√6
semoga membantu
RS = 3y + 3, ST = 2y + 7, and RT=-10y-10
what is a reasonable domain and range for this function
Answer:
plz describe whole question!!
Step-by-step explanation:
your question is incomplete
evaluate the following 1340five minus 242five
Answer:
13405 -- 2425 = 10980
Step-by-step explanation:
Answer:
-----> 13405-2425= 10980
7. You are on a field trip. You have to travel 73 miles to reach
your destination. You have traveled 29 miles so far. How
much further do you have to travel?
10 marbles.
Answer:
44
Step-by-step explanation:
Take the miles you already traveled and subtract it from the total.
73-29=44
3. You bought a shirt at regular price for $22 and a pair of jeans that are marked $42 but
are 25% off. How much will you pay with tax?
Answer:3
Step-by-step explanation: