QUESTION 3
Mark multiplied a number by itself, and found a product of 30. What is the number he started
with, rounded to the nearest tenth?

Answer:

Step-by-step explanation:

2

Answer:

4

Step-by-step explanation:

108 divided by 4 = 27

100 divided by 4 = 25

Good luck!

Answer:

(3,-1)

Hope this helps! :)

Answer:

C

Step-by-step explanation:

just got it right on edge

Answer:

240000

Step-by-step explanation:

20x600=12000

12000x20=240000

Answer:

1999

Step-by-step explanation:

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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Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

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.

Answer:

d) 123.76

Step-by-step explanation:

hope this helps :)

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.

Answer: 17.15

Step-by-step explanation:

6.2+10.95=17.15

Answer:

gghhhhfhfuubf

Step-by-step explanation:

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.

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.

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:

Answer:so what is the question

Step-by-step explanation:

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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Answer:

I think its C......Yea C..................

Step-by-step explanation:

Answer:

1. 1/4 cup of molasses.

2. 72 1/2 strips.

3. 7 1/2 hours.

Step-by-step explanation:

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.

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

Answer:

683004.00

3854.93

Step-by-step explanation:

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

Step-by-step explanation:

Step 1: Define equation

-68 = 5y - 3

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

And we have our final answer!

Answer:

(0,2)

Step-by-step explanation:

Answer:

80% of the newborns were boys

Step-by-step explanation:

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!

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

Integration 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:

Spherical Coordinate Conversions:

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.

Find θ bounds.

Find φ bounds.

Step 3: Integrate Pt. 2

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. 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.

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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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

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