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3 years ago

10

One day, the outdoor temperature increased by 5/10 degree every hour for 6 hours. How much did the temperature increase by the e

nd of 6 hours.

1 answer:

dalvyx [7]3 years ago

5 0

Answer:

3 degrees

Step-by-step explanation:

(5/10)*6

3

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If g(x) is a translation of f (x) =x^2 right by 5 units and down 3 units which is g(x) ? Please help me ASAP

Contact [7]

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + h) represents a horizontal translation of f(x)

• If h > 0 then a shift to the left of h units

• If h < 0 then a shift to the right of h units

Here the shift is 5 units right, thus g(x) = (x - 5)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 3 units down, thus g(x) = f(x) - 3

Hence

g(x) = (x - 5)² - 3 → C

5 0

3 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given <u>exponential function</u>:

$y=4(10)^x-3$

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

$f(x)=b^x$

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0

2 years ago

Please help in the question it should be if t=-6 when r =-2 its an error

Natasha2012 [34]

Answer:

r = - $\frac{12}{7}$

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = $\frac{k}{t}$ ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = $\frac{k}{-6}$ ( multiply both sides by - 6 )

12 = k, thus

r = $\frac{12}{t}$ ← equation of variation

when t = - 7, then

r = $\frac{12}{-7}$ = - $\frac{12}{7}$

7 0

3 years ago

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much mon

Viktor [21]

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

6 0

3 years ago

Calculate the length of the circumference of a circle with diameter of 8cm

stiks02 [169]

Multiply 8 with pi since the equation for circumference is 2pi(r), or d(pi). The answer is 25.13

5 0

3 years ago

Read 2 more answers