Water in a pipe flows at a rate of 10 gallons per minute. What is the rate in liters per second?
Answer:
0.630901 liters per second
Step-by-step explanation:
Hope this helped!
A coin is tossed three times. Use this information to solve these problems.1) List the sample space.2) Find the probability of tossing heads exactly twice.3) Find the probability of tossing tails at least twice.
Answer:
1) sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}
2) pr(tossing heads exactly twice) = [tex]\frac{3}{8}[/tex]
3) pr(tossing tails at least twice) = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
In tossing a coin three times, the sample space is the possible outcomes for the number of toss.
So that for the question,
1) The sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}
The total number of possible outcome is 8.
2) pr(tossing heads exactly twice) = [tex]\frac{numner of outcome with exactly two heads}{total number of outcome}[/tex]
= [tex]\frac{3}{8}[/tex]
3) pr(tossing tails at least twice) = [tex]\frac{number of outcome with at least two tails}{total number of outcome}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
PLEASE HELPPP ME YALLL!!!!
Write an equation in point-slope form for the line that passes through each point with the given slope.
(2, 3), m = –4
parking garage a charge A charge $3 per hour for parking. parking garage B charges of a fee of $ 2 pkus $ 2 per hour for parking
you good itStep-by-step explanation:
determine whether the claims are true or false
Answer:
true then false is the anwer
A couple wants to install a square mirror on their bathroom wall. The area of the square mirror is 720 square inches. To the nearest hundredth of an inch, what length of wood trim is needed to go around the entire mirror?PLZ ANSWER I NEED THIS IN LESS THAN 10 MINUTES
Answer:
26.83inches
Step-by-step explanation:
Area of the square mirror is expressed as A = L²
L is the side length of the square mirror
Given
Area = 720in²
Get the length
720 = L²
L = √720
L = 26.83
Hence the length of wood trim needed to go around the entire mirror is 26.83inches
To estimate the average education level, in years, of residents in a certain county, a marketing team draws a random sample of 100 residents. Their education level averages to about 12.5 years; the standard deviation is about 2.8 years. The team estimates the average education level of all the residents of that county to be 12.5 years with what margin of error, for approximately 90% confidence?
Answer:
The margin of error is [tex]E = 0.4606 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 12.5 \ years[/tex]
The standard deviation is [tex]\sigma = 2.8 \ years[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =1.645* \frac{ 2.8 }{\sqrt{100} }[/tex]
=> [tex]E = 0.4606 [/tex]
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need
What is <2 if <4 is 35
Answer:
2 is 17.5
Step-by-step explanation:
bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.
35%2=17.5 so 2 is equal 17.5 so <2 is 17.5
Plz help I’ll give 20 points
Answer: D
Step-by-step explanation: y=2 so 2+2=4+1=5
If f(x) = 3 - 2x and g(x)
=
1
X+ 5, what is the value of
(6)
(8)?
Answer:
-169
Step-by-step explanation:
An Arithmetic Combination states that two functions f and g at any x i.e in the domain of both f and g, with one exception.
The quotient is not defined at values of x, where g is equal to 0 or we can say that both the functions must be defined at a point for the combination to be defined.
Given: f(x) = 3-2x and g(x) =
Then, using arithmetic combination of function definition:
......[1]
Now, first find the value of f(9) and g(8) ;
f(8) =3-2(8) = 3-16 = -13 and
Substitute these in equation [1] ;
Therefore, the value of (f/g)(8) is; -169
Sam is framing a closet under a stairway. The stairway is 20 ft 6 in. long, and its angle of elevation is 31º. Find the depth of the closet to the nearest inch.
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + [tex](\frac{6}{12} )[/tex]
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 31º = [tex]\frac{d}{20.5}[/tex]
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
a car that travels 308 miles on 11 gallons of gasoline
At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?
Answer:
X=80
Step-by-step explanation:
9x=320+5x
9x-5x=320
4x=320
X=320/4
X=80
So the number of girls =5×80
=400.
how do you write f(x)=x2+16x−7
in vertex form
Answer:
y=(x-8)^2-71
i believe thats the correct answer
please help me Find the perimeter of the triangle. 3- 2x x 7 + y
Answer:
(10 - x + y) units
Step-by-step explanation:
Perimeter of the triangle = (3 - 2x + x + 7 + y) units = (10 - x + y) units
If you wish to venture further into mathematics (aka other topics), you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
True or false: When a figure on a coordinate grid is translated down and to the right, the vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest y-coordinate in the image.(1 point)
Answer:
TrueStep-by-step explanation:
Translation down and to the right doesn't change the dimensions of the original figure.
This will change coordinates of each vertex but the highest coordinates of the pre-image and image will correspond to each other.
Compute |1-3+5-7+...+13-15|
Answer:
8
Step-by-step explanation:
There are a couple different ways you can solve this, but this is generally the quickest way.
Identify a pattern in the problem. We can see that [tex]1-3=-2[/tex], [tex]5-7=-2[/tex], and so on. Subtracting every two odd numbers (without repeating any numbers) in that problem will always give us the same answer: -2.
So, we see how many pairs of odd numbers there are.
1 and 3, 5 and 7, 9 and 11, 13 and 15. We have four pairs of odd numbers. We can just multiply -2 by 4, which leaves us with an answer of -8.
Finally, since this is also an absolute value equation, the answer will be positive, so the final answer is 8.
a rectangular parking lot has a lenth that is 6 yard graeter than the width the area of the parking lot is 160 ssquar yardsd. find the lenth and the width use the formulaarea
Answer:
Required Answer:-Let
the breadth =x
the length =6x
[tex]\sf Area=160yard^2 [/tex]As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf x\times 6x=160 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 6x^2=160[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2={\dfrac {160}{6}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2=26.6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=\sqrt {26.6}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=5.1yards[/tex]
Length=6\times 5.1=30.6yardsBreadth=5.1yards"four times a number is less than or equal to four”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation
Answer:
if you need anything else just comment
Step-by-step explanation:
4k <_ 4 = numerical form
4k/4 <_ 4/4
k <_ 1 = work to solve
on number line there is 0,1,2. 1 has a circle that is filled in and arrow pointing towards 0. = graphed on number line
set notation = {k(vertical bar)k<_1}
interval notation = (-infinity, 1]
What is unit rate of 1/3 and 1 1/2
12*PLEASE ANSWER FAST!!!!!!!!
how do you tell if an equation is extraneous or not extraneous
Answer:
An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .
Use the distributive property to remove the parentheses.
10(u-2)
Answer:
After using distributive property to remove the parentheses [tex]10(u-2)[/tex] we get [tex]10u-20[/tex]
Step-by-step explanation:
We need to use distributive property to remove the parentheses 10(u-2)
According to distributive property of multiplication over subtraction: [tex]a(b-c)=ab-ac[/tex]
Using the above distributive property to solve the question. Multiply 10 with terms inside the bracket and solving:
[tex]10(u-2)\\=10u-10*2\\=10u-20[/tex]
So, After using distributive property to remove the parentheses [tex]10(u-2)[/tex] we get [tex]10u-20[/tex]
At a point on the ground 35 ft from a base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height of the tree. Find the height of the tree.
(Simplify your answer . Round to the nearest foot as needed.)
I would say that the tree is 12 feet high.
And to find out the answer you could use the quadratic formula :)
Help me with this I will give you all my points???
Answer:
1. Yes 2. No 3. Yes 4. No
Step-by-step explanation: 1 is a function because none of the x values repeat, 2 isn't a function because in the x coordinates, -2 repeats, 3 is a function because if you were to draw a (vertical) line through each point, none of them have two points on one line, 4 is a function because none of the x coordinates point to more than one y coordinate
Sales for the Men’s Suit department last year were $920,000. The manager for the department plans an increase of 9.5% for this year. What is this year’s projected sales volume?
Answer:
The projected sales is $1007400
Step-by-step explanation:
Given
[tex]Sales = \$920000[/tex]
[tex]Increment = 9.5\%[/tex]
Required
Determine the new projected sales
Increment is calculated using:
[tex]Increment = Initial\ Value(1 + Increment\%)[/tex]
In this case:
[tex]Projected\ Sales = Sales(1 + Increment\%)[/tex]
[tex]Projected\ Sales = 920000(1 + 9.5\%)[/tex]
Convert % to decimal
[tex]Projected\ Sales = 920000(1 + 0.095)[/tex]
[tex]Projected\ Sales = 920000*1.095[/tex]
[tex]Projected\ Sales = 1007400[/tex]
Hence, the projected sales is $1007400
Please help
Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.
Answer:
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
Step-by-step explanation:
We are going to solve the questions one by one and then write the quotients with every question.
In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.
First Expression:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]
When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.
[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]
Second Expression:
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]
Removing the division symbol
[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]
Third Expression:
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]
Removing the division symbol
[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]
Fourth Expression:
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]
Removing the division symbol
[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]
Hence,
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
I thought of a number. I subtracted 15 from my number, then divided the result by 5, and I got 9. What is my number?
Answer:
The answer is 60
Step-by-step explanation:
all you have to do is reverse the operation, you have to do 9 x 5 then add 15 to that result and you will get the answer :)
hope this helps!
Jen buys 4 tires for $272 .Each tire was the same price .what is the cost of 1 tire
Answer:
each tire was 68 dollars
Step-by-step explanation:
hope this helps :)
The answer is 68 because 68 x 4 is 272 .