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Bezzdna [24]
3 years ago
15

What is the value of the expression (8-3) times 2+(5 times6) -5*5

Mathematics
2 answers:
Vladimir [108]3 years ago
7 0

(8-3) times 2+(5 times6) -5*5

= (8-3) * 2+(5 * 6) - 5 * 5

= 5 * 2 + 30 - 5 * 5

= 10 + 30 - 25

= 40 -25

= 15

iragen [17]3 years ago
4 0

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

(8-3)\cdot2+(5\cdot6)-5\cdot5=5\cdot2+30-25=10+30-25=40-25=15

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Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,
miskamm [114]

Answer:

(0,2); minimum

Step-by-step explanation:

Given:

The function is, y=x^{2}+2

The given function represent a parabola and can be expressed in vertex form as:

y=(x-0)^{2}+2

The vertex form of a parabola is y=(x-h)^{2}+k, where, (h,k) is the vertex.

So, the vertex is (0,2).

In order to graph the given parabola, we find some points on it.

Let x=-2,y=(-2)^{2}+2=4+2=6

x=-1,y=(-1)^{2}+2=1+2=3

x=0,y=(0)^{2}+2=0+2=2

x=2,y=(2)^{2}+2=4+2=6

x=1,y=(1)^{2}+2=1+2=3

So, the points are (-2,6),(-1,3),(0,2),(1,3),(2,6).

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex (0,2), it is minimum.

8 0
2 years ago
2. (15 points) Find the volume of the solid generated by revolving the region bounded by the curves x=
dangina [55]

Step-by-step explanation:

First, graph the region.  The first equation is x = 3y² − 2, which has a vertex at (-2,0).  The second equation is x = y², which has a vertex at (0, 0).  The two curves meet at the point (1, 1).  The region should look kind of like a shark fin.

(a) Rotate the region about y = -1.  Make vertical cuts and divide the volume into a stack of hollow disks (washers).

Between x=-2 and x=0, the outside radius of each washer is y₁ + 1, and the inside radius is 1.  Between x=0 and x=1, the outside radius of each washer is y₁ + 1, and the inside radius is y₂ + 1.

The thickness of each washer is dx.

Solve for y in each equation:

y₁ = √(⅓(x + 2))

y₂ = √x

The volume is therefore:

∫₋₂⁰ {π[√(⅓(x+2)) + 1]² − π 1²} dx + ∫₀¹ {π[√(⅓(x+2)) + 1]² − π[√x + 1]²} dx

∫₋₂⁰ π[⅓(x+2) + 2√(⅓(x+2))] dx + ∫₀¹ π[⅓(x+2) + 2√(⅓(x+2)) − x − 2√x] dx

∫₋₂¹ π[⅓(x+2) + 2√(⅓(x+2))] dx − ∫₀¹ π(x + 2√x) dx

π[⅙(x+2)² + 4 (⅓(x+2))^(3/2)] |₋₂¹ − π[½x² + 4/3 x^(3/2)] |₀¹

π(3/2 + 4) − π(½ + 4/3)

11π/3

(b) This time, instead of slicing vertically, we'll divide the volume into concentric shells.  The radius of each shell y + 1.  The width of each shell is x₂ − x₁.

The thickness of each shell is dy.

The volume is therefore:

∫₀¹ 2π (y + 1) (x₂ − x₁) dy

∫₀¹ 2π (y + 1) (y² − (3y² − 2)) dy

∫₀¹ 2π (y + 1) (2 − 2y²) dy

4π ∫₀¹ (y + 1) (1 − y²) dy

4π ∫₀¹ (y − y³ + 1 − y²) dy

4π (½y² − ¼y⁴ + y − ⅓y³) |₀¹

4π (½ − ¼ + 1 − ⅓)

11π/3

As you can see, when given x = f(y) and a rotation axis of y = -1, it's easier to use shell method.

(c) Since we're given x = f(y), and the rotation axis is x = -4, we should use washer method.

Make horizontal slices and divide the volume into a stack of washers.  The inside radius is 4 + x₁, and the outside radius is 4 + x₂.

The thickness of each washer is dy.

The volume is therefore:

∫₀¹ π [(4 + x₂)² − (4 + x₁)²] dy

∫₀¹ π [(4 + y²)² − (3y² + 2)²] dy

∫₀¹ π [(y⁴ + 8y² + 16) − (9y⁴ + 12y² + 4)] dy

∫₀¹ π (-8y⁴ − 4y² + 12) dy

-4π ∫₀¹ (2y⁴ + y² − 3) dy

-4π (⅖y⁵ + ⅓y³ − 3y) |₀¹

-4π (⅖ + ⅓ − 3)

136π/15

5 0
3 years ago
Which normal distribution has the greatest standard deviation?<br><br> 50 POINTS TO YOU
Makovka662 [10]

Answer:

Given : Few Distributions Mean & Standard Deviation.

To find : normal distribution which has the greatest standard deviation.

Solution:

=> Distribution 4 has the greatest standard deviation.

Graph at top has more spread hence more standard deviation.

8 0
3 years ago
Simplify the expression. Write your answer as a complex number.
prohojiy [21]

Answer:

15-8i

Step-by-step explanation:

we know that

The algebraic expression is equal to

5\sqrt{9}-\sqrt{-64}}

Remember that

\sqrt{9}=3

and

i=\sqrt{-1}

so

\sqrt{-64}=i\sqrt{64}=8i

substitute

5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i

4 0
2 years ago
PLEASE HELP!!! WILL GIVE 54 POINTS!!
riadik2000 [5.3K]
2 5/100, or 205/100, our 2.05

6.2 is 6 2/10, our 6 1/5, our 31/5, also six point two, or six and two one-hundredths
4 0
3 years ago
Read 2 more answers
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