Evaluate the expression. (5²+17)÷7​

Answer:

11/5

Step-by-step explanation:

its 11/5

Answer:

[tex]m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-9,\:-6\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:5\right)\\\\m=\frac{5-\left(-6\right)}{-4-\left(-9\right)}\\\\m = \frac{5+6}{-4+9}\\\\m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

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:

d) 123.76

Step-by-step explanation:

hope this helps :)

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:

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

Step-by-step explanation:

Answer:

i think its 10.71 i dont know if i got it right your welcome

Step-by-step explanation:

Answer:

$10.71

Step-by-step explanation:

Hey you’ve got it right on ur screen.

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:

The conditions would be represented by the following set of inequalities:

An inequality can be defined as a mathematical relation for comparing two (2) or more integers or variables in an equation based on any of the following:

In this scenario, the ratio of fruit to nuts in the crunchy trail mix is equal to 1:3. Therefore, 1/4 of each bag contain fruits while 3/4 contain nuts.

Mathematically, these conditions would be represented by the following set of inequalities:

1/2 × (c + 5f) ≤ 30  ⇒ c + 5f ≤ 60.

1/2 × (3c + 3f) ≤ 50  ⇒ 3c + 3f ≤ 100.

c ≥ 0. f ≥ 0.

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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

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.

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:

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

Answer:

683004.00

3854.93

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:

green

Step-by-step explanation:

green has a higher possible of being picked over blue

Answer:

240000

Step-by-step explanation:

20x600=12000

12000x20=240000

Answer:

1999

Step-by-step explanation:

Answer:

1/x^2+2x

Step-by-step explanation:

Answer:

80% of the newborns were boys

Step-by-step explanation:

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

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

Answer:

a) 2260 cm³

b) 3390 grams

Step-by-step explanation:

3.

a)The radius of the solid cylinder = 6cm

The height of the cylinder is =20 cm

The volume = π*r²*h

The volume = 3.14 * 6²*20 =2260 cm³

b) Density of the material = 1.5 g/cm³

  Volume of the cylinder = 2261 cm³

  Mass of the cylinder = Density * Volume

  Mass of the cylinder = 1.5 * 2261 = 3390 grams

Answer:so what is the question

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:

1. 1/4 cup of molasses.

2. 72 1/2 strips.

3. 7 1/2 hours.

Step-by-step explanation:

Answer: The blue dot is at -22

Step-by-step explanation:

The distance between two line is shown to be 6, so you subtract six from -16 to find the value of the dot.

Answer:

-22

Step-by-step explanation:

the distance between -10 and -16 is 6 and 6 divided by 2 is 3. I add -6 to -16 to get -22