which of the following functions are an example of exponential growth ?

Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

Answer:

B=(.31, .95)

Step-by-step explanation:

When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).

So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)

Answer:

Step-by-step explanation:

In order to find the amount Adel paid we use ratio and proportion

3kg of rump steak = £ 42

Therefore

4kg of rump steak = [tex] \frac{4 \times 42}{3} [/tex]

We have the final answer as

Hope this helps you

Answer:

£56

Step-by-step explanation:

since 3kg costs £42

1kg will be £42/3 which will be equal to £14

4kg will cost £14×4 which will be £56

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

Answer:

13 and 91

Step-by-step explanation:

(a + b)² = a² + 2ab + b² , substitute values

7² = a² + 2(12) + b²

49 = a² + 24 + b² ( subtract 24 from both sides )

25 = a² + b²

Then

a² - ab + b²

= a² + b² - ab , substitute values

= 25 - 12

= 13

-------------------------------------------

a³ + b³ = (a + b)(a² - ab + b²) ← substitute values

a³ + b³ = 7 × 13 = 91

Answer:

[tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex] is an odd function.

Step-by-step explanation:

Let be [tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex], by Algebra this expression can be rewritten as:

[tex]f(x) = x^{3}\cdot (x^{2}+9)\cdot (x^{2}+2)[/tex]

Where [tex]x^{2} + 9[/tex] and [tex]x^{2}+ 2[/tex] are even functions, because they satisfy the condition that [tex]g(x) = g(-x)[/tex], whereas [tex]x^{3}[/tex] is an odd function, as the condition of [tex]h(-x) = - h(x)[/tex] is observed. Then, the overall function is odd.

Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{0.05}[/tex] = 1.64

The margin of error can be computed as follows:

Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]

Margin of error =  [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]

Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]

Margin of error  = [tex]\mathtt{1.64 \times2.3485}[/tex]

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]

=  [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

[tex]\simeq[/tex] (770.45, 778.15)

Answer:

[tex](a+2b^{2} )(a-2b^2)[/tex]

Step-by-step explanation:

You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]a^2-(2b^2)^2[/tex]

you can work the equation backward now and you will get your original equation.

Answer:

Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.

Answer:

5x( x^2 + 2x +3)

Step-by-step explanation:

5x^3 + 10x^2 + 15x

What is common to all three terms

5 xxx + 5*2*xx + 5*3*x

We can factor out 5x

5x( x^2 + 2x +3)

Inside the parentheses cannot be factored so we are done

Answer:

5x ( x^2 + 2x +3 )

Step-by-step explanation:

First we hv to take the common terms out from all the three terms...

So......

If we take 5x from 5x^3 it will bcm x^2

If we take 5x from 10^2 it will bcm 2x

if we take 5x from 15x^2 it will bcm 3

Therefore the final expression will bcm

5x ( x^2 + 2x +3 )

Hope this helps.....

Answer:

D. 20

Step-by-step explanation:

since the given shape is a parallelogram the parallel sides' length must be equal:

2x-10 = x+30

2x-x = 30+10

x = 40

2y-10 = y+10

2y-y = 10+10

y = 20

since z = x - y

z = 40-20

z = 20

Hi there! Hopefully this helps!

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"Two more than five times a number x.​" means:

2 + 5 × x

Answer:

<b = 80

<c = 80

Step-by-step explanation:

<b and 100 form a straight line so they add to 180

<b +100 =180

<b = 180-100

<b = 80

angles b and c are vertical angles and vertical angles are equal

<c = <b = 80

probably i think it is 22.5°

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

There will be Tuesday when the dog jumps the next year.

the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.

Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Since when the dog jumped it was Sunday

Next Sunday will be at

364/7 = 52

So, after 52 weeks or 364 days, there will be next Sunday.

Since leap year is 366 days years

366 - 364 = 2

So, two days after Sunday is Tuesday.

Hence the day after next year when the dog jump will be Tuesday.

For more about reasoning,

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Answer:

B

Step-by-step explanation:

The two angles are alternate interior angles. The have to be equal.

7x + 15 = 148                     Subtract 15 from both sides

7x = 148 - 15

7x = 133                             Divide by 7

x = 133/7

x = 19

B

Answer:

C

Step-by-step explanation:

jhnskkakskjsmznznsnjismkznms

The correct representation is (5-2)÷n

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

According to the question

2 less than 5 = 5-2

then the answer must be divided by n

=( 5-2)/n

Hence, the correct representation is (5-2)÷n.

Learn more about expression here:

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Step-by-step explanation:

3(2x+1) in this factorize 4 is common .so the answer is 3(2x+1)

Answer:

13/50

Step-by-step explanation:

#of original states/# of states now

The fraction of the states are original states is [tex]\frac{13}{50}[/tex].

A  numerical value that expresses a part of a whole is called a fraction.

According to the given question.

Number of original states before = 13

Number of original states now = 50

Therefore, the fraction of original states

= number of original states before/ number of original states now

=[tex]\frac{13}{50}[/tex]

Hence, the fraction of the states are original states is [tex]\frac{13}{50}[/tex].

Find out more information about fraction here:

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Answer:

below

Step-by-step explanation:

Use the formula πr^2h to find volume of a cylinder

= π(11)^2(12)

= 4561.59253...

Rounding to the nearest 10th

= 4561.6 mi^3

Hope this helps!

Answer:

Step-by-step explanation:

Volume = pi * r^2 * h

r = 11

h = 12

Volume = pi * 11^2 * 12

Volume = 3.14 * 121 * 12

Volume = 4501.2 mi^3

Answer: "B. [tex]12p^6q^5[/tex]

Step-by-step explanation:

The given monomial : [tex]6a^2b^8c[/tex]

Degree of this monomial = Sum of powers of variables=2+8+1= 11

Let's check all the options

A   [tex]18t^8[/tex]

Degree = 8

B [tex]12p^6q^5[/tex]

Degree = 6+5 =11

C [tex]9a^5b^3c^2[/tex]

Degree = 5+3+2=10

D [tex]6w^4x^2y^3z^3[/tex]

Degree =4+2+3+3=12

We can see that only option B has degree 11.

So, the monomial has the same degree as [tex]6a^2b^8c[/tex] is "B. [tex]12p^6q^5[/tex] "

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

No; the date does not suggest causation, and many people who listen to loud music can hear well.

The following information should be considered:

Learn more: https://brainly.com/question/10309631?referrer=searchResults

Answer:

0.5% error

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.

[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]

Hope this helped!

Answer:

z=-3

Step-by-step explanation:

z=(-3)^2 - 3(4)

z=9 - 12

z=-3

Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24