Answer:
(-2,4)
Step-by-step explanation:
ordered pair = coordinates
f(-2) = -2+6 = 4
f(x) = y
*(30 points)* One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.
The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.
Working together, the pumps can fill one tank at a rate of
(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour
Then the time it takes both pumps to fill one tank is
(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
The length, breadth and thickness of a brick is 18 cm, 8 cm, and 5 cm respectively. Find the area of the widest part of the brick. Also find the volume of the brick.
Answer:
area = 8 × 18 = 144 cm^2
volume 8×18×5 = 720cm^3
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
Please Help
Select the correct answer.
What is the slope of a line parallel to line r?
A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1
Answer:
B 0
Step-by-step explanation:
r is a horizontal line
horizontal lines are of the form y= constant
The slope for horizontal lines are 0
Parallel lines have the same slope.
Answer:
B 0
Step-by-step explanation:
the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0
could someone explain how do I order this / answer the questions? (picture) In not sure if I find the common factors first or cross multiply since its Inverse operations. Marking brainliest when I can.
Answer:
you can put the number on one side of the equation then the "x" part on the other side.
with c) 4x = 6-10
4x = -4
x = -4/4
x = -1
with d) 7x - 1 = 4x + 8
7x - 4x = 8 + 1
3x = 9
x = 9/3
x = 3
Answer:
c) x = -1. d) x = 3
Step-by-step explanation:
c) move like terms together. then get x by itself
10 + 4x = 6
-10
4x = -4
4x/4 = -4/4
x = -1
d) move like terms together. then get x by itself
7x-1 = 4x+8
+1 -4x
3x = 9
3x/3 =9/3
x = 3
Help anyone can help me do the question,I will mark brainlest.
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
Answer: 150 degrees==============================================================
Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
Answer: 2310 square mm==============================================================
Side note: Both answers are approximate because pi = 22/7 is approximate.
(2x+1)(x-4)
(6x-5)(3x+2)
Answer:
2x^2 + 9x - 4
18x^2 - 3x - 10
Step-by-step explanation:
use foil method
Who can help me ????.
instruction find the missing length.
Answer:
19 is the answer i think.
The picture attached
Answer:
Step-by-step explanation:
m1 = 300
m2= 300(1+.05) = 300(1.05)
m3 = 300(1.05)(1.05)
m4= 300(1.05)(1.05)(1.05)
each subsequent month is the previous month times "1 + .05"
the "one" preserving the running total, and the extra ".05" adding the 5%
the repeating (1.05)(1.05)(1.05) is notational simplified using exponents
(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]
Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and
there are an assortment of snacks available to purchase for $3 each. How much total
money would Hawa have to pay for her family if she were to buy 10 snacks for
everybody to share? How much would Hawa have to pay if she bought & snacks for
everybody to share?
Total cost with 10 snacks:
Total cost with x snacks:
Answer:
The snack s will cost 30$. But the movies would cost 75$
The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be $30.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there is an assortment of snacks available to purchase for $3 each.
The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be given as,
⇒ 10 x $3
⇒ $30
More about the linear equation link is given below.
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help me plz tyyyyyyyyyy
Answer:
c 6m hope to help
tjabssb
Answer:
3 m
Step-by-step explanation:
because all sides are equal
factorize
a)a²x+2ax-3x+5a²+10a-15
b)(a+b)(a-b)-a+b
c)x³-x²+x+x²y-xy+y
Answer:
(a)x(a^2+2a-3)+5(a^2+2a-3)
Cual de las siguientes expreciones permite a fatima obtener t que es la cantidad de palitos nesesaria para armar una figura n
Answer:
T(n) = 4 + 12*n
Step-by-step explanation:
La pregunta completa se puede ver en la imagen de abajo.
En ella, podemos ver que:
La primera figura tiene: 16 palitos
la segunda figura, con n = 2, se añaden 3 palitos en cada extremo, por lo que tendremos 16 palitos + 4*3 palitos = (16 + 12) palitos
De manera similar, en la tercera figura se vuelven a añadir 3 palitos en cada extremo de la cruz, entonces esta figura tendrá:
(16 + 12) palitos + 4*3 palitos = (16 + 12 + 12) palitos.
Así, tenemos la relación:
T(1) = 16
T(2) = 16 + 12
T(3) = 16 + 12 + 12
Podemos asumir que la forma general será:
T(n) = 16 + 12*(n - 1)
podemos reescribir esto como:
T(n) = (12 + 4) + 12*(n - 1)
= 4 + 12 + 12*(n - 1)
= 4 + 12*n
La opción correcta es la primera.
please prove it
(full steps required)
(No spam answers)
Answer:
Step-by-step explanation:
It's given in the question,
[tex]2^x=3^y=12^z[/tex]
[tex]2^x=12^z[/tex]
[tex]\text{log}2^x}=\text{log}12^z}[/tex]
[tex]x\text{log2}=z\text{log12}[/tex]
[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]
[tex]3^y=12^z[/tex]
[tex]\text{log}3^y}=\text{log}12^z}[/tex]
[tex]y\text{log}3}=z\text{log}12}[/tex]
[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]
Now substitute the values in the equation,
[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]
[tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]
[tex]=\frac{1}{z}[/tex]
Hence proved.
please help asap, see attached photo!!
given square NOWR, what is the value of x and y?
Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
Which graph corresponds to the function f(x) = x2 + 4x – 1?
Answer:
1
Step-by-step explanation:
I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
575 minutes
Step-by-step explanation:
this is a systems of equations problem
2 plans, 2 equations
Scenario 1:
$23 is a mandatory fee, 11 cents per minute
x=23+0.11m (x= total cost, m= minutes called)
Scenario 2:
There is no mandatory fee, but there is a higer 15 cents per minute
x=0.15m (y=total cost, m=minutes called)
Set them equal to each other because you want to know when they become equal
23+0.11m=0.15m
23=0.04m
m=575
Answer:
Plan 1: 65 minutes, Plan 2: 201 minutes
Step-by-step explanation:
Not sure if this is the answer that you need but here is the math that i did..
Plan 1: $23 + $0.11/min
$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15
Plan 2: $0 + $0.15/min
$0.15 × 201 minutes will give you a total of $30.15
I hope this helps!
For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
11+11= 22 answer is $ 22.03
PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS
Answer:
2 cups
Step-by-step explanation:
It would be 1/2 times 4, which would be 2 cups of lime juice.what are the domain and range of y= cos x? Select one for domain and one for range
Answer:
Domain = all real numbers
range = -1<= y <= 1
The domain of y=cosx is all real numbers and the range is -1 ≤ y ≤ 1.
What is the domain and range of a function?The range of 'x' of a function is known as the domain of definition of a function and the range of 'y' of a function is known as the range of the function.
How to find the domain and range of a function?The function is continuous for all real values of 'x'.
Hence, the domain of the function is all real numbers.
The upper limit value of cosx =1 and lower limit value of cosx = -1 .
Hence, the range of the function is -1 ≤ y ≤ 1.
Learn more about domain and range here :
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To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
REfer and answer
Pls its urgent
Pls fast
the legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous
Answer:
11.31 units
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2
Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.
[tex]\sqrt{128\\} \\\\[/tex] = c
c = 11.31 units
last one for similarity transformations:)
1. 1/2
2. Across Y axis
3. 3 rights and 2 ups (3, 2)
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
If APQR = ASTU, complete each blank below with the appropriate length or measure.
Answer:
ST = 8 m
SU = 7 m
m∠Q = 75°
m∠S = 59°
m∠R = 46°
m∠U = 46°
Step-by-step explanation:
The given parameter are;
ΔPQR is congruent to ΔSTU
In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m
In ΔSTU, m∠T = 75°
By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;
m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R
Therefore;
ST = PR = 8 m
ST = 8 m
SU = PQ = 7 m
SU = 7 m
m∠Q = m∠T = 75°
m∠Q = 75°
m∠S = m∠P = 59°
m∠S = 59°
m∠U = m∠R = 180 - (75° + 59°) = 46°
m∠R = 46°
m∠U = 46°.
