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2 years ago

Can you help me with this?

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

5 0

Answer:

Step-by-step explanation:

The area formula for trapezoid- A=1/2*h*(b1+b2)

So- 1/2*4*(6+9)

Ugo [173]2 years ago

4 0

Answer:

B =30 yd²

Step-by-step explanation:

total area

= area of rectangle + area of triangle

=(6*4)+(1/2 * 3 * 4)

=30

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1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).

ICE Princess25 [194]

Answer:

a) A-B = { 1 , 3, 5 }

b) The remainder is 50

c) f + g)(x) = x⁴+ 5x³

d) $\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}$

Step-by-step explanation:

Step(I):-

1) a)

Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }

A - B = {1,3,5,7} - { 7,14,21}

A - B = { 1 , 3, 5}

Given f (x)=3x³−11x−48

x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2

-3x³ +3x²

3x²-11x-48

-3x²+9x

2x -48

-2x +2

The remainder is 50

c) Given f(x) = x³ and g(x) = x + 5

(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³

Given function y = 3 + x²+x³y³ ...(I)

By using derivative formulas

y = xⁿ

$\frac{dy}{dx} = n x^{n-1}$

Apply d/dx ( UV) = U V¹ + V U¹

Differentiating equation (I) with respective to 'x' , we get

$\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))$

$\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))$

$\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}$

7 0

2 years ago

Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m

wel

Answer:

$\frac{1}{2}ln(2x)-\frac{1}{2}ln(x^2-1)$

Step-by-step explanation:

In 2x/(x^2 - 1)1/2

$ln(\frac{2x}{x^2-1} )^\frac{1}{2}$

Apply the property of natural log

ln x^m = m ln(x) move the exponent before ln

$ln(\frac{2x}{x^2-1} )^\frac{1}{2}$

$\frac{1}{2}ln(\frac{2x}{x^2-1})$

ln(m/n)= ln m - ln n

$\frac{1}{2}(ln(2x)-ln(x^2-1))$

multiply 1/2 inside the terms

$\frac{1}{2}ln(2x)-\frac{1}{2}ln(x^2-1)$

6 0

2 years ago

Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who ha

Stolb23 [73]

In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.

The missing table is given below.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Shawn is collecting money from students at his school for a charity.

The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.

Since 30 is 1/3 of 90, we know the ratio is 1:3.

In order of blank boxes going from left to right then down

1, 9, 5, 75, 35

The complete table is attached below.

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

3 0

1 year ago

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.

AURORKA [14]

By applying the segment addition postulate, the value of v = 7

According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

Given that:

$DC = 2v-15\\\\CE = 3v-8\\\\DE = 27$

Therefore, by substitution, we will have the following equation:

$(2v-15) + (3v-8) = 27$

Open the bracket and solve for the value of v.

$2v-15 + 3v-8 = 27$

Add like terms

$5v - 23 = 27$

Add 23 to both sides

$5v - 23+ 23 = 27 + 23\\\\5v = 50$

Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the value of v = 10

Learn more about the segment addition postulate here:

brainly.com/question/1721582

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2 years ago

In 2010 the Internal Revenue Service allowed a $5,150 deduction for each dependent. In 2005 it was a $3,200. If a family has fiv

Aleks04 [339]

5x5,150 =$25,750 = Answer

Deductions per dependent $5,150 times 5 in 2010

6 0

2 years ago