Can someone write logb(xy) as two logs (49 points)

Answer:

45°

Step-by-step explanation:

If sum of two angles is 90° , then they are called complementary angles.

Complement of 45 = 90 - 45 = 45

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

Answer:

39

Step-by-step explanation:

Answer:

3+3+3+3

Step-by-step explanation:

it's ans is 3+3+3

Answer:

I think the answer is D.

sorry if I'm wrong..

Answer:

If i'm doing this correctly it is 6?

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

8x - 5 = -37

   + 5     +5  add five to both sides of the equation so you can isolate the x

8x = -32

/8        /8 then divide 8 by both sides of the equation

x = -4

and then you get ur answer

Hope this helps :)

Answer:

so n=17

Step-by-step explanation:

9=3²

3²×3¹⁵= 3¹⁷

please mark the brainliest❤❤

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer:

$3573. 64

Step-by-step explanation:

Convert 11.25% to the decimal fraction 0.1125.  Then subtract this result from 1.0000:  0.8875.

After 14 years, the formerly $19000 car will have the value

$19000(0.8875)^14 = $3573. 64

Answer:

it has no pic

Step-by-step explanation:

Answer:

Population function (Based on 2007) =  7,600 + 700n

Step-by-step explanation:

Given:

Population in 2009 = 9,000

Population in 2014 = 12,500

Computation:

Increase in population per year = [12,500 - 9,000] / 5

Increase in population per year = 700

Population in 2007 = 9,000 - [2 x 700]

Population in 2007 = 7,600

Population function (Based on 2007) =  7,600 + 700n

n = number of year

Answer:

p(t)=700t+7600

Step-by-step explanation:

Answer:

A= -8

Step-by-step explanation:

Subtract 5a from both sides.

Combine 4a and −5a to get −a.

Add 7 to both sides.

Finally, Multiply both sides by −1.

Pls mark brainliest.

Answer:

a = -8

Step-by-step explanation:

4a - 7 = 5a + 1

subtract 1 from both sides of the equation

4a - 7 - 1 = 5a + 1 - 1

4a - 7 - 1 = 5a

4a - 8 = 5a

subtract 4a from both sides of the equation

4a - 4a - 8 = 5a - 4a

-8 = 5a - 4a

-8 = 1a

-8 = a

9514 1404 393

Answer:

  solve for f(n) in terms of f(n-1)

Step-by-step explanation:

In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....

__

Usually, such questions arise in the context of arithmetic or geometric sequences.

Arithmetic sequence

The explicit formula for an arithmetic sequence has the general form ...

  a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d

The recursive formula for the same arithmetic sequence will look like ...

  a(1) = a(1) . . . . . . . the first term is the first term

  a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before

__

Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.

__

Geometric sequence

The explicit formula of a geometric sequence has the general form ...

  a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r

The recursive formula for the same geometric sequence will be ...

  a(1) = a(1) . . . . . . the first term is the first term

  a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio

__

Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.

__

Other sequences

Suppose you're given the quadratic sequence ...

  a(n) = pn^2 +qn +r

Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...

  a(n) = c·a(n-1) +d·a(n-2) +e

for the values c, d, and e. Doing that, we find ...

  (c, d, e) = (2, -1, 2p)

So, the recursive relation is ...

  a(1) = p +q +r

  a(2) = 4p +2q +r

  a(n) = 2a(n-1) -a(n-2) +2p

__

Additional comment

The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.

There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)

Answer:

y = c

Step-by-step explanation:

A line with a gradient of 0 is a horizontal line, parallel to the x- axis

Its equation is y = c

where c is the value of the y- coordinates the line passes through.

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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

https://brainly.com/question/14335762

#SPJ5

Answer:

the area is 670.32 but it's not in there

Answer:

$66.60

Step-by-step explanation:

Find out how much money Jerome earns from the 1.8% interest.

100% = 3700

1% = 3700 ÷ 100 = 37

1.8% = 37 x 1.8 = 66.60

(Final answer)

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

Step-by-step explanation:

That is an example of an increasing interval.

Answer:

a

Step-by-step explanation:

Answer:

C.41

Step-by-step explanation:

Thats the answer!!

Answer:

Step-by-step explanation:

do the thing times 2

Answer:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

Which inequality is equivalent to this one?

y minus 8 less-than-or-equal-to negative 2

y minus 8 + 8 greater-than-or-equal-to negative 2 + 8

y minus 8 + 8 less-than negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Take the last option:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

remove the +2 on each side to get

y minus 8 less-than-or-equal-to negative 2

Answer:

4 2/3!

Step-by-step explanation:

Answer: [tex]4 \frac{2}{3}[/tex]

Step-by-step explanation:

Lets start by subtracting 6 by 1.

                  6 - 1 = 5

Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.

So our answer is 4 2/3

Answer:Each step in this pattern increases by on block

Step-by-step explanation:

1-1 block

1-2 block

3-3

4-4