simplify
(3k^4) (7k^5)

Answer:

Step-by-step explanation:

1500 + (1500 : 100 × 4)

= 1500 + (15 × 4)

= 1500 + 60

= 1560

Angles DUT and VUD sum to VUT. We can create an equation to model this.

DUT + VUD = VUT

Now, let's plug our values into the equation.

24x + 5 + 46 = 35x - 4

Simplify the left side.

24x + 51 = 35x - 4

Subtract 24x from both sides and add 4 to both sides.

55 = 11x

Divide both sides by 11.

5 = x

9514 1404 393

Answer:

  C.

Step-by-step explanation:

The transformation ...

  g(x) = f(ax)

represents a horizontal compression of the graph by a factor of 'a'. Here, the original function graph is compressed by a factor of 3 horizontally, so the curve will look a lot narrower.

The appropriate choice is C.

Answer:

The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.

Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:

p(x) = f(x) − g(x)

= (2x + 5x) − (2x2 − 13x + 6)

= 2x^2 + 5x − 2x^2 + 13x − 6

= 18x − 6

p(x) = 18x − 6

The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:

$2.45p(x) + $0.25g(x)

= $2.45(18x − 6) + $0.25(2x^2 − 13x + 6)

= $(44.1x − 14.7) + $(0.5x2 − 3.25x + 1.5)

= $0.5x2 + $40.85x – $13.20.

Step-by-step explanation:

Edmentum answer

The area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then we have p(x) = f(x) − g(x).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.

Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:

p(x) = f(x) − g(x)

= (2x + 5x) − (2x² − 13x + 6)

= 2x² + 5x − 2x² + 13x − 6

= 18x − 6

p(x) = 18x − 6

The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:

2.45p(x) + 0.25g(x)

= 2.45(18x − 6) + 0.25(2x² − 13x + 6)

= (44.1x − 14.7) + (0.5x² − 3.25x + 1.5)

= 0.5x² + 40.85x – 13.20

Therefore, the total costs for paving the path and mulching the garden can be represented by the function is 0.5x² + 40.85x – 13.20.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

[tex] \large \mathfrak{Solution : }[/tex]

let the total time taken to paint the bookcase be x

now ,

the required equation is :

Answer:

Number 3.14 is rational number

Answer:

6

Step-by-step explanation:

AB+BC=AC

3x + 4x = 42

7x = 42

x = 42/7

x = 6

Answer:

356

Step-by-step explanation:

Next two terms = 11 + 3 = 14

14 + 3

The rule is that the number is increasing by 3 in each term.

n th term = 2 + (n - 1)3

119 term

2 + (119 - 1)3

2 + (118)3

2 + 354

356

Answer:

Explanation:

Given sides of the triangle:

We know that the perimeter of a triangle is the sum of all the sides of a triangle.

Perimeter of the triangle,

= 3x^2 + 8 + 2x^2 + x + x - 3

= 3x^2 + 2x^2 + x + x + 8 - 3

= 5x^2 + 2x + 5

Therefore, the perimeter of the triangle is 5x^2 + 2x + 5. Hence, the option A is the correct answer.

Answer:

See below.

Step-by-step explanation:

Cos O is positive in the first and 4th quadrants and sin O is negative in the 3rd and 4th quadrants.

So the answer is Quadrant 4.

cos^2 O = 1 - sin^2 O

= 1 - (-3/5)^2

= 16/25

So  cos O  is +√(16/25)

= 4/5.

Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]  , [tex]a^{0}[/tex] = 1

5 (a)

[tex]7^{-6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]

(b)

[tex]\frac{1}{10^{-3} }[/tex] = 10³

(6)

27[tex]x^{0}[/tex][tex]y^{-2}[/tex] ← substitute x = 4 , y = 3

= 27[tex]4^{0}[/tex][tex]3^{-2}[/tex]

= 27 × 1 × [tex]\frac{1}{3^{2} }[/tex]

= 27 × [tex]\frac{1}{9}[/tex]

= 3

Answer:

Step-by-step explanation:

Jenn is the fastest swimmer.

Time and speed is inverse proportion. If speed is more, the time taken will be less. So, who takes less time will be the fastest swimmer

We can tell from the table that Jenn is the fastest swimmer. She has the lowest time and fastest speed

Answer:

I believe it's x^2=y but I could be wrong

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

see the photo ............

Answer:

a) language

b) 2/15

Step-by-step explanation:

For the first part, you can start by making the denominators same

you take the LCM of 3 and 5 which is 15

Language books are now 10/15 since you multiply the nominator and denominator by 5

While science books are 3/15

10/15 : 3/15 making it obvious that language books are more

if the remaining are math books then

total books - (language + science books) = math books

10/15 + 3/15 = 13/15 (non math books)

15/15 - 13/15 are math books making 2/15 of them math books

Step-by-step explanation:

Since b2 is certainly positive, that means a2 is certainly negative, which is impossible. √−1=i is an imaginary number, not lying anywhere on the real number line. Therefore as others have said, it is neither rational nor irrational in the usual senses of those words.

Answer:

No, you would get -1

Step-by-step explanation:

Square root of 1 is 1

If the negative was IN the square root, it would be imaginary.

Answer:

its to blurry

Step-by-step explanation:

Answer:

99/100

Step-by-step explanation:

First of all recall that

[tex]a^n\cdot b^n =(ab)^n[/tex]

Now we we will try to apply that formula for [tex]a=99/100[/tex] and [tex]b=100/99[/tex].

First rewrite [tex](99/100)^{101}=(99/100)\times (99/100)^{100}[/tex]

Now

[tex](99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100[/tex]

Answer:

205.2695855914755224841171577448444258477488

Step-by-step explanation:

to be expesific

Answer:

Tatal volume of buckets = 60 l

leakage = 0.5 l /h

So total time taken = 60/0.5

= 120 h

so number of days = 120/24 = 5days

Step-by-step explanation:

plz mark me as brainliest ❤️

Answer:

5 weeks

Step-by-step explanation:

5 , 10 , 15, 20, 25 , 30, 35

1,    2,   3,   4,   5,    6,   5

Answer:

y = x + 3

Hope it helps!!!!

Step-by-step explanation:

supplement means their addition is equal to 180°

since m<x and m<y are supplement then m<x+m<y=180

and <y supplement to <z (their addition equals to 180°)

since m<y and m<z are supplement then m<y+m<z=180

m<x+m<y= m<y+m<z

m<y cancelled

m<x= m<z

_________________

FOR EXAMPLE

Given that <x and <y are supplement

and <y and <z are supplement

if <x= 45°

that means that <y = 135°

so that <x +<y = 180°

45+135= 180 ✓

and <y and <z are supplement

m<y+ m<z = 180°

then m<z= 45°

m<x+m<y= m<y+m<z

m<x +135= 135+m<z

then m<x= m<z = 45°

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Hey there!

Convert the fraction to decimals.

-3/5 = -0.6

-0.6 < -0.4

Hence, -3/5 is not equal to -0.4.

Answer = NO

Hope it helps ya!

I'll do the first five problems to get you started.

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Problem 1

Subtraction can be thought of as adding a negative.

So -3 - 6 is the same as -3 + (-6)

We can think of an example involving money

-3 means we're 3 dollars in debt. Then -6 means we go 6 dollars further into debt. Therefore, the total debt is -3 + (-6) = -9 so overall we're 9 dollars in debt.

===========================================================

Problem 2

When subtracting a negative, the two will cancel out to form a positive. This is because negatives are opposite in nature. Two opposites undo one another.

So with all that in mind, something like 10 - (-4) will become 10 + 4

===========================================================

Problem 3

It's the same idea as the previous problem, but we're dealing with different numbers of course.

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Problem 4

We'll use the ideas mentioned in problem 1. There's not much further to explain here.

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Problem 5

Refer back to either problem 2 or problem 3 for a similar example. The negatives will cancel to form a positive.