Answer : 1/6
Explanation : If 216 is divided by 36, you will get your answer 1/6.
If p and q vary inversely and p is 4 when q is 12, determine q when p is equal to 8.
Answer:
24
Step-by-step explanation:
[tex]p = 8 \\ q = x \\ \\ q(8) = p(x) \\ \\ 12(8) = 4(x) \\ 96 = 4x \\ \frac{96}{4} = \frac{4x}{4 } \\ x = \frac{96}{4} \\ x = 24[/tex]
can you plz help out
Try this option:
1) q: What is the slope of the line and what does it mean in this situation?
a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.
2) the slope of the line is '2.5'
3) this means that '2.5' mm. of the rain falls every '1' hour.
Can you help me?????
Answer:
180 - (55+48) =77
180 -77 =103
A couple deposits $21,000 $ 21,000 into an account earning 5% 5 % annual interest for 30 30 years. Calculate the future value of the investment if the interest is compounded daily. Round your answer to the nearest cent.
Answer:
$94105.81
Step-by-step explanation:
[tex]21000( ({1 + .0512675})^{30} - 1) \\ = 73105.81 \\ 73105.81 + 21000 = 94105.81[/tex]
Future value of the investment if the interest is compounded daily is $94,105.80.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Given that,
Principal amount, P = $21,000
Rate of interest, r = 5% = 5/100 = 0.05
Time, t = 30 years
The final amount in a compound interest is,
A = P (1 + r/n)^(nt), where n is the number of times compounding is done in a year.
Here, n = 365
A = 21000 (1 + 0.05/365)^(365 × 30)
= 94,105.802
≈ 94,105.80
Hence the final amount is $94,105.80.
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Find y'([tex]\sqrt[3]{3}[/tex]) where y = y(x) is an implicit function of x given by 2[tex]x^{3}[/tex]+[tex](x^{3}-3)[/tex]·sin(2πy)−3y = 0.
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
–5(–2) = eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
-5 times -2= 10
Kevin has Oranges and grapefruits in a ratio of 40:18. How many oranges does he have if he has 9 grapefruits?
Answer:
20 oranges
Step-by-step explanation:
40:18 / 2 = 20:9
6
What value of x makes the equation -5x - (-7.4x) = -2(3x + 4) true?
F
X = 3
G
* = 5
H
J
x
Step-by-step explanation:
-5x - (-7.4x) = -2(3x + 4)
-5x + 28x = -6x - 8
(-5 + 28 + 6)x = -8
29x = -8
x = -8/29
1. The graph below shows the height of an object that has been launched off a 50-foot-high wall. After approximately how many seconds does the object reach its maximum height?
1.8 seconds
4.4 seconds
3.7 seconds
2 seconds
Answer: Its 2 seconds
Step-by-step explanation:
I took the quiz
The object reach its maximum height at 2 seconds.
WE are the given curve shows the height of an object which has been launched from 50 foot high wall with respect to time.
So we can see that the curve initially starts from the height of 50 feet.
Here in the middle the height of the object is maximum and immediately after that the height decreased in the graph.
At that maximum height time from the graph we can find that the height of the object goes upto 106 feet.
We can see in the graph that it hits the ground when the height is equal to 106.
t = 2 seconds
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Find the surface area of the following square pyramid.
Find the inverse of the function f(x) = 2x^3 - 5
This is what I have so far
F(x) = 2x^3 - 5
Y = 2x^3 - 5
X = 2y^3 - 5
+5 +5
x + 5 = 2y^3
9514 1404 393
Answer:
f^-1(x) = ∛((x +5)/2)
Step-by-step explanation:
Continue to solve for y.
[tex]x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}[/tex]
If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...
[tex]\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}[/tex]
[tex]\\ \rm\Rrightarrow y=2x^3-5[/tex]
Interchange y and x[tex]\\ \rm\Rrightarrow x=2y^3-5[/tex]
[tex]\\ \rm\Rrightarrow 2y^3=x+5[/tex]
Isolate y[tex]\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}[/tex]
This is the inverse[tex]\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}[/tex]
The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal Is 7%, and the
family also leaves a 15% tip on the pre-tax amount.
What Is the total cost of the meal?
The total cost of the meal is $
9514 1404 393
Answer:
$62.22
Step-by-step explanation:
Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...
m + tax + tip
= m + 7%·m +15%·m
= m(1 +7% +15%) = 1.22m
= 1.22($51) = $62.22
The total cost of the meal is $62.22.
Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?
9514 1404 393
Answer:
13 costumes
Step-by-step explanation:
The amount of fabric used is the product of the amount per costume and the number of costumes.
A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume
46 2/3 = n(3 1/2)
n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3
Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.
Hero is in the bowling club. There are 14 students in the club. Of the 14 students, through will be picked at random to attend an award banquet. What is the probability that hero will not be paid to attend the banquet?
The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. Give exact measurements for the lengths of the other sides of the triangle.
The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:
Since the sum of the interior angle of a triangle is 180 degrees, hence;
30 + 45 + x = 180
75 + x = 180
x = 180 - 75
x = 105 degrees
Get the measure of the other sides using the sine rule;
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = x/sin 30
x sin 105 = sin 30
x sin 105 = 0.5
x = 0.5/sin 105
x = 0.52m
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = y/sin 45
y sin 105 = sin 45
x sin 105 = 0.0.7071
x = 0.7071/sin 105
x = 0.73m
Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
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The cost, C, in dollars to produce 3 pounds of chocolate candy
is represented by the linear function C (x) = 3.5x+ 800.
Find the number of pounds produced if the cost is $842.00.
Round to the nearest tenth of a pound.
469.1
h
O 3,747.0
38.5
12.0
o 1.2
Answer:
(c) 12 pounds
Step-by-step explanation:
The cost of production is given as ...
3.5x +800 = 842
3.5x = 42 . . . . . . . . subtract 800
x = 12 . . . . . . . . . . . divide by 3.5
The number of pounds produced is 12.
Write an equation for this linear
function.
f(3) = 7 and f(7) = 3
f(x)=-x+10
well looking at the difference on the x and y coordinates, it is a difference of 4 and-4, making the slope -1. because it is next to x on the function notation you can just say -x, then insert the y and x coordinates to solve for y intercept
What is the value of n in the equation?
7n + 2 = 5 × 6
A.25
B.4
C.6
D.28
Answer:
B. 4
Step-by-step explanation:
7n+2 = 5×6
7n+2 = 30
7n = 30-2
7n = 28
7n ÷ 7 = 28 ÷ 7
n = 4
Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.
Answer:
Step-by-step explanation:
Let Eva's height be x
62* 0.5 = x + 1.5
31 = x + 1.5 Subtract 1.5 from both sides.
31 - 1.5 = x
x = 29.5
Eva is 29.5 inches tall.
Answer:
29.5
Step-by-step explanation: I took the test
(d^8)^-2. Anyone help pls?
Answer:
1/d^16
Step-by-step explanation:
Hope this helped!
Can I get brainlist? If not that's okay!
please help will mark as brainliest pls show work
9514 1404 393
Answer:
y = 1/5x +8
Step-by-step explanation:
The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:
m = -1/(-5) = 1/5
The y-intercept (b) can be found from this and the given point:
b = y -mx
b = 9 -(1/5)(5) = 8
Then the slope-intercept equation can be written ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 1/5x +8
_____
Additional comment
Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -9 = 1/5(x -5) . . . . . an equation for line j
Can someone please explain how to do this.
Answer: 9/30
Step-by-step explanation:
Aidan wants to rent a car while on a trip to Europe. He can rent a sedan that holds 70.1 liters of gasoline, or a sports car that holds 4,930 centiliters of gasoline. How many more liters of gasoline can the sedan hold?
Clifton spent $14.30 to buy his class 26 ice
cream sandwiches. How much did each ice
cream sandwich cost?
Answer:
$0.55
Step-by-step explanation:
All you have to do is divide $14.30 by 26 and that equals 0.55 so he spent 55 cents on each sandwich
There are 135 skiers in line to ride the chair lift. If each chair seats 7 people, how many skiers will be on the last chair?
Answer:
19
Step-by-step explanation:
[tex]135/7=19.28[/tex]
what is x and y in the equation 9x + 20y > 120
Answer:
x= 120-20y/9
Step-by-step explantion:
Select all possible solutions for 2x +7
[tex] 2x + 7\leqslant 3 \times - 5[/tex]
Answer:
Select all options of x greater than or equal to 12
Step-by-step explanation:
2x + 7 <= 3x - 5
7 + 5 <= 3x - 2x
12 <= x
x >= 12
-5/12 x 5/8=???????????????????????????????????????????
Answer:
-25/96
Step-by-step explanation:
simplify the expression
List the first 10 triangular numbers
Frank’s mother gave him 25 to save. If he already had 38 saved, how much money does frank have save now
Answer:
Frank now has $63 saved.
Step-by-step explanation:
25 + 38 = 63
I hope this answered your question properly!
