Answer:
4(m+3)=18
m+3=18/4=9/2
m=9/2-3
m=9-6/3
m=3/3=1
so,
m=1
Step-by-step explanation:
what percentage of 7 1/2 is 2 1/2
Answer:
7+½ = (7*2+(1))/2=15/2
Step-by-step explanation:
2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333
3 3/4 × 2 2/9 please
Help ♀️♀️♀️
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]
➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]
➺[tex] \: \frac{300}{36} [/tex]
➺[tex] \: \frac{25}{3} [/tex]
➺[tex] \: 8 \frac{1}{3} [/tex]
➺[tex] \: 8.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]
Which of the following equations is NOT an example of inverse variation?
I. f(x)=kx
II. f(x)=2kx
f
(
x
)
=
2
k
x
III. f(x)=−kxz
Based on the equation,the equation which is not an inverse variation is f(x) = kx
Inverse variationf(x) = kx
= k × x
f(x) = 2k/x
= k(2/x)
f(x) = -kx/z
= k(-x/z)
Inverse variation is given by:
y = k(1/x)
where,
k = constant of proportionalityTherefore, f(x) = kx is not an inverse variation.
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Help find instantaneous rate of change :)!
=========================================================
Explanation:
Let's say that point A is at (0,0) and B is somewhere else on the parabola.
I'll make point B go to the right of point A.
For now, let's say B is at (4,16).
If we compute the slope of line AB, then we find the average rate of change (AROC). The AROC in this case is (y2-y1)/(x2-x1) = (16-0)/(4-0) = 16/4 = 4. Because point A is at (0,0), we're really just computing y/x where the x,y values come directly from point B.
--------------
Now let's move B to (3,9). If we used the slope formula again, we would get the slope of 3. Note how y/x = 9/3 = 3.
Then let's move B to (2,4). The AROC is now y/x = 4/2 = 2
As B gets closer to A, the AROC is decreasing. The AROC is slowly approaching the IROC (instantaneous rate of change).
--------------
Point B is generally located at (x,x^2) for any real number x. Keeping A always fixed at the origin, the slope of line AB is y/x = (x^2)/x = x.
What does this all mean? It means that if x = 0, then the IROC is 0. You might be quick to notice that we cannot divide by zero. So instead of letting x be zero itself, we'll just get closer and closer to it. This is where the concept of limits come into use. This is what calculus is based on (both integral and differential calculus).
Anyway, when calculating the IROC, we're really calculating the slope of the tangent line to the f(x) curve. Refer to the diagram below.
----------------
In short, the slope of the tangent line at x = 0 is m = 0. We have a flat horizontal line that touches the parabola at (0,0).
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
solve for surface area
formula for cube:
SA = 2 (s times s) + (4s) ( H)
What is the value of (-3 + 31) + (-2+31)?
Answer:
57
Step-by-step explanation:
31-3=28
31-2=29
28+29=57
fill in the blanks the 2 digit largest whole number is______
A.54 pie cm^3
B.72 pie cm^3
C.126 pie cm^3
D.378 pie cm^3
==========================================================
Explanation:
The radius of each sphere is r = 3
The volume of one sphere is
V = (4/3)*pi*r^3
V = (4/3)*pi*3^3
V = 36pi
That's the volume of one sphere.
Three spheres take up 3*36pi = 108pi cm^3 of space.
---------------------------
The radius of the cylinder is also r = 3, since each tennis ball fits perfectly in the container.
The height is h = 18 because we have each ball with a diameter 6, which leads to the three of them stacking to 3*6 = 18.
The volume of the cylinder is...
V = pi*r^2*h
V = pi*3^2*18
V = 162pi
-------------------------
Subtract the volume of the cylinder and the combined volume of the spheres: 162pi - 108pi = (162-108)pi = 54pi
This is the exact volume of empty space inside the can.
This points to choice A as the final answer
please help me please help me please help me please help me please help me please help me please
Answer:
Q3. 9
Q4. 6
Step-by-step explanation:
Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form.
Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function
f (x)=6x+8
f(x+h)-f (x)/h =
I NEEEEED HELP!!!!!!
differentiate loge(x/x^2+7)
Answer:
1+1=11 2+2=22 ok na yan kuya or ate
which equation is the inverse of 5y+4=(×+3)^2+1/2?
Answer:
The inverse is -3 ±sqrt(5x+7/2)
Step-by-step explanation:
5y+4=(x+3)^2+1/2?
To find the inverse, exchange x and y
5x+4=(y+3)^2+1/2
Solve for y
Subtract 1/2
5x+4 -1/2=(y+3)^2+1/2-1/2
5x+8/2 -1/2=(y+3)^2+1/2-1/2
5x+7/2 = (y+3)^2
Take the square root of each side
±sqrt(5x+7/2) =sqrt( (y+3)^2)
±sqrt(5x+7/2) = (y+3)
Subtract 3 from each side
-3 ±sqrt(5x+7/2) = y+3-3
-3 ±sqrt(5x+7/2) = y
The inverse is -3 ±sqrt(5x+7/2)
please help show steps thx
Answer:
1) P = 282m, A = 141m^2
2) P = 82.4in, A = 40in^2
3) P = 62.7m, A = 73.1m^2
Step-by-step explanation:
1) top:L=12m, W=3m, mid: l= 12m, w= 12-7 = 5m, bot: l=15m, w=3m
Perimeter= 2(lw)
P = 2(12x3) + 2(12x5) + 2(15x3)
P = 2(36) + 2(60) + 2(45)
P = 72 + 120 + 90
P = 282m
Area= lw
A = (12x3) + (12x5) + (15x3)
A = 36 + 60 + 45
A = 141m^2
2) Rectangle:l=7in, w=5in, Right Triangle:a=5-3=2in, b=12-7=5in
Perimeter= 2(lw) + (a+b+sqrt(a^2+b^2))
P = 2(7x5) + (2+5+sqrt(2^2+5^2))
P = 70 + 12.39
P = 82.4in
Area= lw + ((ab)/2)
A = (7x5) + ((2x5)/2)
A = 35 + 5
A = 40in^2
3) Semi-Circle: d=8m, r=8/2=4m, Right Triangle: a=8m, b=12m
Perimeter= pid + (a+b+sqrt(a^2+b^2))
P = 9pi + (8+12+sqrt(8^2+12^2))
P = 28.27 + 34.42
P = 62.7m
Area= (1/2)pir^2 + ((ab)/2)
A = (1/2)pir^2 + ((ab)/2)
A = (1/2)pi(4)^2 + ((8x12)/2)
A = 25.13 + 48
A = 73.1m^2
Help me outtttttttttto
Answer:
,
Step-by-step explanation:
hear is your answer please give me Some thanks
Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
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The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
A
Step-by-step explanation:
i took the test
Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
I need equation and cost :)
Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
Answer:
4*t +12 = 40
Each ticket cost 7 dollars
Step-by-step explanation:
tickets + popcorn = total cost
4*t +12 = 40
Subtract 12 from each side
4t +12-12 = 40-12
4t = 28
Divide by 4
4t/4 = 28/4
t = 7
Each ticket cost 7 dollars
(View attachment)
a) Write ordered pairs.
b) Write the domain and range.
c) Why isn't the relation a function?
d) Which ordered pair should be removed to make the relation a function?
Answer:
in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:
(x, y), where x is the input and y is the output.
In this case, the point where the arrow starts is the input, and where the arrow ends is the output.
a)
The ordered pairs are:
(28, 93)
(17, 126)
(52, 187)
(34, 108)
(34, 187)
b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:
{17, 28, 34, 52}
And the range is the set of the outputs, in this case the range is:
{93, 108, 126, 187}
c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.
In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.
d) We can remove one of the two ordered pairs where the input is {34},
So for example, we could remove:
(34, 108)
And then the relation would be a function.
25 POINTS!!!!!!
Which is true about the solution to the system of inequalities shown? y<1/3x-1
Answer:
All values that satisfy [tex]y[/tex] ≤ [tex]\frac{1}{3} x-3[/tex] are solutions
Step-by-step explanation:
The reason why the other equations solutions aren't solutions are because it doesn't satisfy the second equation, but the second equation satisfy both equations because the solutions of the second equations will be in both equations.
Hope this helps
please help meeeee!!
Step-by-step explanation:
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =
Answer:
[tex]{ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14[/tex]
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
if the bookstore pays $60 to the publisher what will be the selling price?
Answer:
This means that, when the price of a book from a publisher is $60, the bookstore will sell it for $88 to the students.
Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)
British pound is 1.212 to 0.8251 USD
4.67 $/gal is the price of gasoline.
Step-by-step explanation:
Given:
Price of gasoline = 1.3 €/L
1 gallon is equals to 3.785 Liters
1 euros is equals to 0.9497 US dollars
To find:
The price of gasoline in US dollars per gallon
Solution:
Price of the gasoline = 1.3 €/L
[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]
Now convert euros to US dollars by using :
1 euros = 0.9497 $
The price of gasoline in US dollar per gallons:
[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]
4.67 $/gal is the price of gasoline.
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PLEASE HELP!
Determine which of the following lists is in order from smallest to largest.
1. -3,131,0, (-3)^2
2. (-3)^2,-3,0, |3|
3. -3,0,|3|, (-3)^2
4. 0,-3,|3|, (-3)^2
Answer:
3. -3,0,|3|, (-3)^2
Step-by-step explanation:
Answer:
answer would be option 3
Step-by-step explanation:
help this helps
Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)
Answer:
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Tanθ=Opposite/Adjacent
we have the adjacent side but need the oppsoite
We will use a²+b²=c²
25²=7²+b²
576=b²
b=24
Therefore the answer is
[tex]\frac{24}{7}[/tex]
Assume that Z has a standard normal distribution. Determine the value for z that solves each of the following.
a. P(-z < Z < z) = 0.95 (Round your answer to two decimal places (e.g. 98.76))
b. P(-z < Z < z) = 0.99 (Round your answer to two decimal places (e.g. 98.76))
c. P(-z < Z < z) = 0.68 (Round your answer to three decimal places (e.g. 98.765))
d. P(-z < Z < z) = 0.9973 (Round your answer to two decimal places (e.g. 98.76))
Answer:
a) P ( - 1.96 < Z < 1.96 )
b) P ( - 2.58 < Z < 2.58)
c) P ( -0.995 < Z < 0.995 )
d) P ( - z < Z < z ) = P ( ( Z ± 3σ ) then that is close to 1
Step-by-step explanation:
a) P ( - z < Z < z ) = P ( - 1.96 < Z < 1.96 )
CI = 95 % significance level α = 5 % α = 0.05 α/2 = 0.025
z = 1.96
b) P ( - z < Z < z ) = P ( - 2.58 < Z < 2.58)
CI = 99 % significance level α = 1 % α = 0.01 α/2 = 0.005
z = 2.58
c) P ( - z < Z < z ) = P ( -0.995 < Z < 0.995 )
CI = 68 % significance level α = 32 % α = 0.32 α/2 = 0.16
z ≈ 0.9954
We interpolate in this case
1 ⇒ 0.1587
0.99 ⇒ 0.1611
0.01 ⇒ 0.0024
x ⇒ 0.0013 x = 0.01 *0.0013 / 0.0024
x = 0.005416
and z = 0.99 + 0.005416
z = 0.9954
d) P ( - z < Z < z ) = P ( - 0.00 < Z < 0. 00)
CI = 0.9973 % significance level α = 0.0027 % α = 0.000027 α/2 = 0.0000135
z = 0.00003375 ⇒ z = 0.00
NOTE: The value of α is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)
that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places