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3 years ago

the square root of an integer n is between 6 and 7. write an inequality that expresses all the possible values for n

1 answer:

5 0

$6\ \textless \ \sqrt{x}\ \textless \ 7\\6^2\ \textless \ \sqrt{x}^2\ \textless \ 7^2\\36\ \textless \ x\ \textless \ 49$

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Suppose that the only information we have about a function is that f (1) = 5 and the graph of its derivative is as shown.

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Please provide graph of derivative.

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4 years ago

Can someone help me on this I’m struggling to figure it out...

VikaD [51]

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It's D

Step-by-step explanation:

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3 years ago

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3 years ago

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Find the area of the region under the graph of f on [a, b]. f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

5 0

3 years ago

BC - Round your answer to the nearest hundredth. B ? 35 A с 2.

mario62 [17]

Answer:

BC ≈ 1.40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg BC = x

Adjacent Leg AC = 2

Step 2: Solve for x

Substitute [Tangent]: tan35° = x/2
Isolate x: 2tan35° = x
Rewrite: x = 2tan35°
Evaluate: x = 1.40042
Round: x ≈ 1.40

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3 years ago

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