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3 years ago

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay

B is answer

finlep [7]3 years ago

4 0

The correct answer is:

B.P=1/4;a=5

Explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.

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The measure of angle GHI is 120. Angle GHI is in half with ray HK , if angle GHK is 3x+24 , What is the value of x?

denpristay [2]

Answer:

x = 12

Step-by-step explanation:

Angle GHK is half of 120, so is 60. Then ...

3x +24 = 60

3x = 36 . . . . . subtract 24

x = 12 . . . . . . . divide by 3

6 0

3 years ago

Work the following pricing problems for services rendered. (For all calculations use hundredths.)

Lesechka [4]

Answer:

Hourly Rate = $12.22 per hour

Step-by-step explanation:

$\text{Labor Time = }4\tfrac{1}{2}=4.5\thinspace{ hours}$

Overhead Rate = 95%

Retail price of parts = $134.75

Total cost of job = $241.98

Cost of labor = Total cost - Retail price

= 241.98 - 134.75

= $107.23

Now, labor works for 4.5 hours and ears a total amount of $107.23

$\implies\text{Amount earned in one hour or hourly rate = }\frac{107.23}{4.5}\\\\\implies \text{Hourly rate = }\$23.83\text{ per hour}$

Now, Labor will get 95% overhead rate

⇒ The labor is getting 100% already but an overhead of 95% is also given

$\text{So, Hourly Rate = }\frac{23.83}{1+0.95}\\\\\bf\implies\textbf{Hourly Rate = }\$12.22\textbf{ per hour}$

3 0

3 years ago

Please help!!!!! geometry

m_a_m_a [10]

Answer:

Step-by-step explanation:

First, draw out your triangle on a piece of paper, and label each point w, x, and y

We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.

We are also told that angle w is equal to 64 degrees

with this information, we can assume that angle y is the same as angle x

Another important thing to note is that all triangle measures equals to 180

we can make this expression:

64 + x + x = 180

Now to solve for x:

64 + x + x = 180

64 + 2x = 180

2x = 116

x = 58

3 0

11 months ago

Solve step by step solution then only i can do it plxx

Anuta_ua [19.1K]

Answer:

<h3>Let's understand the concept:-</h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3>Required Answer:-</h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

3 0

3 years ago

I don’t have any questions just giving out some points(: have a good day

aleksandr82 [10.1K]

Answer:

yyaayayyaay

Step-by-step explanation:

6 0

3 years ago