Answer:
Step-by-step explanation:
Equation: y = 20x
y = # of gallons
x = minutes
6.
So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:
x = 0 mins:
y = 20x
y = 20(0)
y = 0 gallons
(0, 0)
x = 1 min.
y = 20x
y = 20(1)
y = 20 gallons
(1, 20)
x = 2 mins.
y = 20x
y = 20(2)
y = 40 gallons
(2, 40)
x = 3 mins.
y = 20x
y = 20(3)
y = 60 gallons
(3, 60)
x = 4 mins.
y = 20x
y = 20(4)
y = 80 gallons
(4, 80)
7. View the attached graph
8. Predict the amount of water in the tank after 6 mins.
We use the same equation, y = 20x for this question
y = 20x
y = 20(6)
y = 120 gallons
(6, 120)
8. Linear ==> straight line
Non-linear ==> anything other than a straight line (curved line)
As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.
Hope this helps!
PLEASE HELP!! 30 POINTS
Find the measure of arc ZWX if XR and WZ are diameters.
Answer:
13πr/60 units
Step-by-step explanation:
Formula
arc length = radius x degree measureSolving
2πr x θ/360πr x 39/18039πr/18013πr/60 unitsA baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
A.
55 feet per second
B.
66 feet per second
C.
55 seconds per foot
D.
66 seconds per foot
(just the answer pls)
Answer:
I think it's B.
Step-by-step explanation:
AB=AD and BC=DC.
350
Ax
82C
D
x= [ ? ]°
Answer:
82
Step-by-step explanation:
because diagonals are equal in quadrilater
3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.
Answer: 12
Step-by-step explanation:
Start with 90/10 which gets you 9
Then add 3 and 9 which is 12
Answer:
12
Step-by-step explanation:
Order of operations says to do the division first
90/10 = 9
Then add the rest
9+3 = 12
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
(I figured it out y=3/2 x +7)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form
with m = - [tex]\frac{2}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y - 8 = -2/3(x+5)
The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,
y = 3/2x + c
The line is passing through (-6, -2), then we have
-2 = 3/2(-6) + c
-2 = -9 + c
c = 7
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
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why is it that when i caulate 1225*3.14 it equals 3846 but if i have the pie symbol instead of the 3.14 it turns out to be different 1225*π=3848
Answer:
[tex]\pi[/tex] is infinite. 3.14 only has three numbers.
Step-by-step explanation:
so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers
Answer:
See below ↓
Step-by-step explanation:
When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.
1225 x 3.14 = 3846.51225 x π = 3848.451Bro this hard who can help me
Answer:
12
Step-by-step explanation:
End points of [tex]\overline{RS}[/tex] are:
[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]
[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]
Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3
[tex]\implies m = 4,\: n= 3[/tex]
Now, by section formula:
[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]
Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:
[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]
[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]
[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]
[tex]\implies T=(16,\:\:-4)[/tex]
Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12
Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
The median is 8.1
Step-by-step explanation:
You add up all the numbers and divide it by how much numbers there are.
1) Add. 1 + 7+ 16 + 18 + 40 = 81
2) Count. There are 10 numbers.
3) Divide 81/10
4) 8.1
The median is 8.1
a _______has one endpoint line or ray
Answer:
Ray.
Step-by-step explanation:
Lines have no endpoints, while rays have 1 endpoint (:
please, any help would be more than great!
3(a-4) ≥ 4 (a+5)
Hello there!
In order to solve this inequality, we should first use the distributive property:-
3(a-4)≥4(a+5)
3a-12≥4a+20
Now, add 12 to both sides:-
3a≥4a+32
Subtract 4a from both sides:-
3a-4a≥32
-a≥32
Divide both sides by -1:-
a≤-32
The inequality sign changed because we divided both sides by a negative number.
[tex]\mathcal{NOTE:-}[/tex]
I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)
IMAGE IS DOWN BELOW!
SOMEONE PLEASE ME
ILL YOY BRAINLIST ANSWER AND POINTS!!
what is the diameter of a pond if the area is 4069.44
Answer:
71.98
[tex]d=2\sqrt{ \frac{A}{\pi }} = 2 * \sqrt{\frac{4069.44}{\pi }}[/tex] ≈ 71.98175 rounded to hundred-thousandths
the lengths of two sides of a triangle are 10 and 24. the third side is x how many whole number possible for x
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Complete part (a) and part (b) given the following system of equations.
x-y=1
x + 3y =9
Write your answer.
Answer:
(3,2)
Step-by-step explanation:
Setting up equation so we can use substitution method
x - y = 1 , x + 3y = 9
step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.
x = y + 1 , x + 3y = 9
now we can plug in ( or substitute hence substitution method ) the first equation into the second
Solving for y using the substitution method
x + 3y = 9
plug in x = y + 1
y + 1 + 3y = 9
combine like terms
4y + 1 = 9
subtract 1 from both sides
4y = 8
divide both sides by 4
y = 2
Now to find the value of x we plug in the value of y into one of the equations and solve for x.
Solving for x
x - y = 1
y = 2
x - 2 = 1
add 2 to both sides
x = 3
The solution would be (3,2)
Answer:
x = 3 and y = 2 or (3,2) in coordinate form
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Solve by elimination of x-terms by multiplying either one of equations with -1:
For this, I choose to multiply -1 in first equation:
[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]
Then add both equations:
[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]
Divide both sides:
[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]
Next, substitute y = 2 in one of equations to solve for x:
For this, I choose to substitute y = 2 in the first equation:
[tex]\displaystyle \large{x-y=1}[/tex]
Substitute y = 2 in:
[tex]\displaystyle \large{x-2=1}[/tex]
Add both sides by 2:
[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]
Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)
__________________________________________________________
First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Write the system of equations in matrices form:
[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]
From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:
[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]
Find [tex]\displaystyle \large{\det A}[/tex]:
[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]
Therefore:
[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]
Therefore, the solution is x = 3 and y = 2
evaluate: 3 /7 + ( −11 /4 ) + 16 /5 − ( −18 /7 )
Answer:
This is hard
Step-by-step explanation:
I'm so sorry I can't do it
Answer:
[tex]\frac{69}{20}[/tex]
Step-by-step explanation:
[tex]\frac{3}{7} -\frac{11}{4} +\frac{16}{5} +\frac{18}{7}[/tex]
= [tex]\frac{3}{7} +\frac{18}{7}-\frac{11}{4} +\frac{16}{5}[/tex]
= [tex]\frac{21}{7} -\frac{11}{4} +\frac{16}{5}[/tex] As both denominators have 7 you can add their numerators
=[tex]\frac{21}{7} -(-\frac{9}{20})[/tex] L.C.M
=[tex]\frac{21}{7} +\frac{9}{20}[/tex] L.C.M
=[tex]\frac{69}{20}[/tex]
what does 7 of one third + 2 and two thirds =
NEED HELP ASAP.PLEASEEEE
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
1.9998 inches = radius
Step-by-step explanation:
V=(4/3)πr³
33.5 = (4/3)πx³
33.5 * 3/4 = (4/3)πx³(3/4)
25.125 / π = (πx³) / π
[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]
1.9998 = x
Write all the names of the quadrilateral shown.
A square, rhombus, parallelogram
B square, rectangle, parallelogram
C square, rectangle
D square, rhombus, rectangle, parallelogram
Answer:
A
Step-by-step explanation:
my brain says so?
again another Pythagorean Theorem i need help on, please and thank you
You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."
The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.
What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.
In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.
(1/2) (10)- (-12) -25
Answer:
-8
Step-by-step explanation:
Hey there!
(1/2)(10) - (-12) - 25
= 1/2(10) - (-12) - 25
= 5 - (-12) - 25
= 5 + 12 - 25
= 17 - 25
= -8
Therefore, your answer is: -8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
rearrange q=w/3-7 to make w the subject
q=w/ 3-7
q(3-7)= w
hope this helps :)
Answer:
w = 3q + 21
Step-by-step explanation:
assuming you mean
q = [tex]\frac{w}{3}[/tex] - 7 ( add 7 to both sides )
q + 7 = [tex]\frac{w}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
3(q + 7) = w , that is
w = 3q + 21
What are the zeros of g(x) = x(x2 – 25)(x2 – 3x – 4)?
Answer:
The zeros are -5, -1, 0, 4, 5.
Step-by-step explanation:
x(x2 – 25)(x2 – 3x – 4) = 0
x(x - 5)(x + 5)(x + 1)(x - 4) = 0
so either x or the other 4 factors can be 0 :
x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-
x = 0, 5, -5, -1, 4.
just more and more of these.
⇒ ANSWER : x = 0, x = 5, x = -5, x = 4 and x = -1
EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)
1) factorize the equation
g(x)=x(x-5)(x+5)(x²-3x-4)
2) expand the equation
g(x)=x(x-5)(x+5)(x²+x-4x-4)
3) factorize
g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))
4) factor out x+1
g(x)=x(x-5)(x+5)(x-4)(x-1)
5) equate to 0
x(x-5)(x+5)(x-4)(x+1)=0
6) solve for x
x = 0, x = 5, x = -5, x = 4, x = -1
Pain.
5510 ÷ 27 with remainder
Answer:
204, there is no remainder.
Step-by-step explanation:
Answer: 204 Rem 2
Step-by-step explanation: Use long division
A shipping container has a base area of 25.5 square yards and a height of 3.5 yards.
What is the volume of 3 of these shipping containers?
Enter your answer as a decimal in the box.
The volume of 3 of shipping containers 267.75 cubic yards.
We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.
For similar question on volume.
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Solve for x assuming that the lines are tangent to the circle.
Answer:
x = 5
Step-by-step explanation:
Tangents from a specific point are equal in length.
3x - 7 = 18 - 2x
5x - 7 = 18
5x = 25
x = 5
Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?
Answer:
I got you with Question 3 and 4 my guy.
3) He would need 12 and it would cost 50k
4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27
The Tom will need to bring to the closing $54,341.27
He would need 12 and it would cost 50k.
We have given that,
Tom buys a condominium for $42,600.
He makes a down payment of 15% and pays these closing costs to survey $225.
What is the meaning of a down payment?
The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.
Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286
9% payments: $563.24
7% payments: $494.75.
Monthly savings: $69.49
9% total repaid: $2022,764.90
7% total repaid: $148,423.63
Savings: $54,341.27
To learn more about the savings visit:
https://brainly.com/question/25787382
What is the mode of 10,9,10,9,10,8
Answer:
its 10
Step-by-step explanation:
The reason its 10 is because it shows more 10 then any number
On Saturday, 73 people went to the two o’clock movie at the theater. Each person paid $4.00. How much money did the theater collect in all?
Answer:
$292.00
Step-by-step explanation:
Total amount collected= number of people×amount per each person
total amount= 73×$4.00
Total amount collected=$292.00
Answer:
$292
Step-by-step explanation:
its really easy, you just multiply 73 to 4
Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)
The number of rotations for the new wheel will be 1,056 rotations
How to calculate the circumference of a wheel?Let the initial circumference be 50 rotations (assumed)
If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:
Ne circumference = 1.2 * 50 = 60
number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations
Hence the number of rotations for the new wheel will be 1,056 rotations
Learn more on circumference here: https://brainly.com/question/20489969