A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.
9514 1404 393
Answer:
(1/120 mile/min)(60 min/h)(3 h)
1.5 mile
the increase in depth after 3 hours
Step-by-step explanation:
The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...
(1/120 mile/min)(60 min/h)(3 h)
The value of this product is ...
(1·60·3)/(120·1·1) mile = 1.5 mile
The value represents the increase in depth after 3 hours.
Sharon paid $78 sales tax on a new camera. If the sales tax is 6.5%, what was the cost of the camera?
Answer:
$1200
Step-by-step explanation:
$1200
Step-by-step explanation:
78 = 6.5%
This means that if you divide 78 by 6.5, you get the equivalent of 1% of the price:
78 ÷ 6.5 = 12
So 1% = 12
Now simply multiply this by 100 to get the full answer:
12 x 100 = 1200
So the camera cost $1200!
Answer:
$1,200
Step-by-step explanation:
78 divided by 6.5=12
With percents you have to multiply to get out of 100 so:
12x100=1,200
78 divided by 6.5%=1,200
-SunflowerJada
In the diagram below, DE is parallel to XY. What is the value of y?
Answer:
Option A . 122°
.............
Explanation:
Alternate exterior angles are congruent when we have parallel lines like this.
You can use their vertical angle counterparts to then use the alternate interior angles if you want.
Determine the intercepts of the line.
2x + 5y = -6
Step-by-step explanation:
x-intercept: 2x + 5(0) = -6
2x = -6
x = -3
y-intercept: 2(0) + 5y = -6
y = -6/5
topic: coordinate geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
At a local hospital, 35 babies were born. If 28 were boys, what percentage of the newborns were boys? Express your answer to the ones place.
Answer:
80% of the newborns were boys
Step-by-step explanation:
Which function is a quadratic function?
f(x) = 2x2
g(x) = 5x3
k(x) = –x
b(x) = –9x4
Answer:
The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
So the answer is f(x) = 2x2
Thank you and please rate me as brainliest as it will help me
The function f(x) = 2x² is the quadratic function while the other functions are not the quadratic function. The first option is the correct one.
A quadratic function is a polynomial with degree 4.
f(x) = 2x² is a quadratic function as the degree of the function is 2.
g(x) = 5x³ is a cubic function as the degree of the function is 3.
k(x) = -x is a linear function as the degree of the function is 1.
[tex]b(x) = -9x^4[/tex] is a quartic function as the degree of the function is 4.
So, among all options, f(x) = 2x² is the quadratic function. The correct option is the first one.
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Jason is buying a car, and he wants to pay for it in 48 monthly installments. If the total cost of the car is $9,300, how much would Jason have to pay each month?
$500 per month
$195 per month
$193.75 per month
$193.50 per month
Which statement shows how to compute the area of a circle with a radius of 4 feet?
a. 7 times 4 squared
b. 7 times 2 squared
C. 7 times 8 squared
d. 7 times 16 squared
Answer:
I think its C......Yea C..................
Step-by-step explanation:
Which of these quadrilaterals have opposite sides that are parallel? Name these quadrilateral
Answer:
square,rectangle,rhombus,paralellagram
Step-by-step explanation:
Use spherical coordinates to evaluate the
triple integral x2 + y2 + z2 DV, where E
is the ball: x2 + y2 + z2 = 16.
1/S22+
Answer:
4096π / 5
Step-by-step explanation:
∫∫∫ (x² + y² + z²) dV
In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.
E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ
Evaluate the first integral.
∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ
∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ
Evaluate the second integral.
¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ
²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ
Evaluate the third integral.
²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ
²⁰⁴⁸/₅ π (-cos π + cos 0)
²⁰⁴⁸/₅ π (1 + 1)
⁴⁰⁹⁶/₅ π
Answer:
[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV = \frac{4096 \pi}{5}[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Multivariable Calculus
Triple Integrals
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Spherical Coordinate Conversions:
[tex]\displaystyle r = \rho \sin \phi[/tex][tex]\displaystyle x = \rho \sin \phi \cos \theta[/tex][tex]\displaystyle z = \rho \cos \phi[/tex][tex]\displaystyle y = \rho \sin \phi \sin \theta[/tex][tex]\displaystyle \rho = \sqrt{x^2 + y^2 + z^2}[/tex]Integral Conversion [Spherical Coordinates]:
[tex]\displaystyle \iiint_T {f( \rho, \phi, \theta )} \, dV = \iiint_T {\rho^2 \sin \phi} \, d\rho \, d\phi \, d\theta[/tex]
Step-by-step explanation:
*Note:
Recall that φ is bounded by 0 ≤ φ ≤ 0.5π from the z-axis to the x-axis.
I will not show/explain any intermediate calculus steps as there isn't enough space.
Step 1: Define
Identify given.
[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV[/tex]
[tex]\displaystyle \text{Region E (Ball):} \ x^2 + y^2 + z^2 \leq 16[/tex]
Step 2: Integrate Pt. 1
Find ρ bounds.
[Ball] Substitute in Spherical Coordinate Conversions:Find θ bounds.
[Ball] Substitute in z = 0:Find φ bounds.
[Circle] Substitute in Cylindrical Coordinate Conversions:Step 3: Integrate Pt. 2
[Integrals] Convert [Integral Conversion - Spherical Coordinates]:We evaluate this spherical integral by using the integration rules, properties, and methods listed above:
[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 \int\limits^4_0 {\rho^4 \sin \phi} \, d\rho \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{\rho^5}{5} \sin \phi \bigg| \limits^{\rho = 4}_{\rho = 0}} \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{1024}{5} \sin \phi} \, d\phi \, d\theta\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 {\frac{-1024}{5} \cos \phi \bigg| \limits^{\phi = \pi}_{\phi = 0}} \, d\theta \\& = \int\limits^{2 \pi}_0 {\frac{2048}{5}} \, d\theta \\& = \frac{2048}{5} \theta \bigg| \limits^{\theta = 2 \pi}_{\theta = 0} \\& = \frac{4096 \pi}{5}\end{aligned}[/tex]
∴ we have evaluated the given integral in spherical coordinates.
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Topic: Multivariable Calculus
Unit: Triple Integrals Applications
I will mark BRAINLIEST!
6x+9x-6=0
Solve by removing the GCF using the Bottoms Up method.
Please show all work
Answer:
x = 2/5
Step-by-step explanation:
3 (2x + 3x - 2) = 0
2x + 3x - 2 = 0
5x - 2 = 0
5x = 2
x = 2/5
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
Paulina ran 6.2 miles last week and 10.95 miles this week.
How many miles did she run in all?
Answer: 17.15
Step-by-step explanation:
6.2+10.95=17.15
Answer:
gghhhhfhfuubf
Step-by-step explanation:
Write the fraction 4/6 as a decimal. Round to the nearest hundredth
The value of solution after divide in form of decimal is,
⇒ 0.67
We have to given that,
To write the fraction 4/6 as a decimal.
We can simplify the fraction and then divide,
⇒ 4 /6
⇒ 2 / 3
⇒ 0.67
Rounded to nearest hundredth.
Therefore, The value of solution after divide in form of decimal is,
⇒ 0.67
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683,004 and 3,854.927to nearest hundredths
Answer:
683004.00
3854.93
Step-by-step explanation:
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
d) 123.76
Step-by-step explanation:
hope this helps :)
A train travels 16.8 km in 25 mins. find the speed of the train in
(i)km/h (ii) m/s.
i. Distance = 16.8 km
Time = 25 mins = 5/12hours
Speed = distance/time
= 16.8÷(5/12)
= 16.8 × 12/5
= 40.32 km/h
ii. In m/s = 40.32/3.6
= 11.2 m/s
The speed of the train is 11.2 m/s.
The speed of the train is 40.32 km/h.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance.
= 16.8 km
= 16.8 x 1000
= 16800 m
Time.
= 25 minutes
= 25 x 60 seconds
= 1500 seconds
Speed.
= Distance / Time
= 16800 / 1500
= 16800 / 1500
= 11.2 m per second
Speed.
Distance = 16.8 km
Time = 25/60 hours
Speed = (16.8 x 60) / 25 = 40.32 km per hour.
Thus,
The speed is 40.32 km per hour.
The speed is 11.2 meters per second.
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Solve the equation: -68 = 5y - 3
Answer:
-13
Step-by-step explanation:
-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y
Then you divide 5 by both sides to get y=-13
Answer:
y = -13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-68 = 5y - 3
Step 2: Solve for y
Add 3 to both sides: -65 = 5yDivide both sides by 5: -13 = yRewrite: y = -13Step 3: Check
Plug in y to verify it's a solution.
Substitute: -68 = 5(-13) - 3Multiply: -68 = -65 - 3Subtract: -68 = -68And we have our final answer!
Find the GCF for the following list.
108. 100
Answer:
Step-by-step explanation:
2
Answer:
4
Step-by-step explanation:
108 divided by 4 = 27
100 divided by 4 = 25
Good luck!
the ruiz family is exchanging euros for us dollars the exchange rate is 1 euro 1.35261
Answer:so what is the question
Step-by-step explanation:
kaitlyn and brian are ordering stickers. a carton has 20 packets wythe 600 stickers in each packet. If Kaitlyn and brian ordered 20 cartons. How many stickers did they order
Answer:
240000
Step-by-step explanation:
20x600=12000
12000x20=240000
What is the solution to this system of linear equations?
2x + 3y = 3
7x - 3y = 24
O (2,7)
(3,-21)
(3,-1)
O (9,0)
Answer:
(3,-1)
Hope this helps! :)
Answer:
C
Step-by-step explanation:
just got it right on edge
A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation:
What is the sum of 4 - 7i and the conjugate of 2 + 3i ?
A.6 - 4i
B.8 - 21i
C.8 - 4i
D.6 - 10i
The conjugate of a complex number z = a + b i is z * = a - b i. So
(4 - 7i ) + (2 + 3i )* = (4 - 7i ) + (2 - 3i )
… = (4 + 2) + (-7i - 3i)
… = 6 - 10i
and the answer is D.
is 141.3 more than 141.05
Answer:
Yes
Step-by-step explanation:
Since the base numbers (141) is the same, we can ignore that.
Now, let's look at .3 and .05.
.3 is the same as .30.
If we remove the decimal point, we're looking at 30 and 5. 30 is greater than 5, so 141.3 is greater than 141.05.
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
Answer:
1999
Step-by-step explanation:
FIRST TO HELP IS BRAINLIEST
Answer:
(0,2)
Step-by-step explanation:
Helped needed having difficulty
Answer:
1. 1/4 cup of molasses.
2. 72 1/2 strips.
3. 7 1/2 hours.
Step-by-step explanation:
How do you do this question?
Step-by-step explanation:
f(x) = sin(x), a = π/6, n = 4
Find the derivatives.
f⁽⁰⁾(π/6) = sin(π/6) = ½
f⁽¹⁾(π/6) = cos(π/6) = ½√3
f⁽²⁾(π/6) = -sin(π/6) = -½
f⁽³⁾(π/6) = -cos(π/6) = -½√3
f⁽⁴⁾(π/6) = sin(π/6) = ½
T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!
T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴
Find the fifth derivative.
f⁽⁵⁾(x) = cos(x)
So the next term of the series would be:
cos(z) (x − π/6)⁵ / 5!
For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0. Therefore:
│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│
│R₄(x)│≤ 0.000328
│R₄(x)│is always positive, so we can ignore the bottom two graphs. The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.