Please help me with question 5

Given:

The table of values of an exponential function.

To find:

The factor by which the output value increase as each input value increases by 1​.

Solution:

The general exponential growth function is

[tex]f(x)=ab^x[/tex]          ...(i)

where, a is initial value and b is growth factor.

From the given table it is clear that the function passes through (0,3). So, put x=0 and f(x)=3 in (i).

[tex]3=ab^0[/tex]

[tex]3=a(1)[/tex]

[tex]3=a[/tex]

From the given table it is clear that the function passes through (2,12). So, put a=3, x=2 and f(x)=12 in (i).

[tex]12=3b^2[/tex]

Divide both sides by 3.

[tex]4=b^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=b[/tex]

[tex]\pm 2=b[/tex]

Growth factor cannot be negative. So, b=2.

Therefore, the output value increase by factor 2 as each input value increases by 1​.

Answer:

Electrons

Step-by-step explanation:

Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

-2.5, -8/4, -0.20, 0, 3/12

Step-by-step explanation:

Answer:

It will occur zero times between midnight and one o'clock.

Step-by-step explanation:

Least Common Multiple (LCM)

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to form a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to from a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer: x= 15

Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math

2x+10+4x+80 = 180  or  6x+90=180  where x = 15

Answer:

$10.11

Step-by-step explanation:

Answer:

10.11

Step-by-step explanation:

7% of 9.45 is 0.66, and 9.45 + 0.66 = 10.11, so the answer is 10.11

Answer:

8.97

Step-by-step explanation:

Answer:

The value of x is 3

Step-by-step explanation:

If they area similar, then the ratio of the sides are equal

Mathematically;

x+ 1/3x + 1 = 8/20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

24x-20x = 20-8

4x = 12

x = 12/4

x = 3

Step-by-step explanation:

Triangle XYZ is isosceles.

Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

Answer: D: 5

Step-by-step explanation:

-12 + 8 - (-9)

First you want to do 8 - (-9) which becomes 17

Then add -12 to 17 which equals 5

Answer:

5,191.48936

Step-by-step explanation:

Given:

976 / 0.188

Find:

Value

Computation:

⇒ 976 / 0.188

⇒ 976000 / 188

5,191.48936

Answer:

At noon, the temperature would be 6 °F

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

We are trying to find the new temperature. We can disregard time since we are not asking for the time elapsed but for the change in temperature.

Our starting temperature is -17 °F and rose by 23 °F:

-17 °F + 23 °F = 6 °F

Answer:

96 ways

Step-by-step explanation:

Given

[tex]Day = 86400\ seconds[/tex]

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

[tex]86400/2 = 43200[/tex]

[tex]43200/2=21600[/tex]

[tex]21600/2=10800[/tex]

[tex]10800/2=5400[/tex]

[tex]5400/2= 2700[/tex]

[tex]2700/2 = 1350[/tex]

[tex]1350/2=675[/tex]

[tex]675/3=225[/tex]

[tex]225/3=75[/tex]

[tex]75/3=25[/tex]

[tex]25/5=5[/tex]

[tex]5/5 = 1[/tex]

This implies that:

[tex]86400 = 2^7 * 3^3 * 5^2[/tex]

The number of factors d is the solved by:

[tex]d = (a+1)*(b+1) *(c+1)[/tex]

Where

[tex]n = 2^a * 3^b * 5^c[/tex]

By comparison:

[tex]a = 7[/tex]

[tex]b = 3[/tex]

[tex]c=2[/tex]

So:

[tex]d = (7+1)*(3+1) *(2+1)[/tex]

[tex]d = 8*4 *3[/tex]

[tex]d = 96[/tex]

Hence, there are 96 total ways

Answer: 56.44 km/h

Step-by-step explanation:

Speed = Distance / Time

Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours

Speed = 254/4.5

= 56.44 km/h

Answer:

I would say for almonds next to the number 2 put $21.98 and for dried apricots next to $26.25 put 3 pounds and then see which one is more expensive.

Step-by-step explanation:

Apricots is less expensive than Almonds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

2 pounds almonds cost = 21.98

So, cost of 1 pounds cost = 21.98/2= 10.99

and, 3 pounds apricots cost= 26.25

So, cost of 1 pounds cost = 26.25/3  = 8.75

Hence, Apricots is less expensive than Almonds.

The complete Table is

Almonds                                                         Dried Apricots

Cost             Weight                                     Cost             Weight

21.98              2                                               26.25            3

10.99               1                                               8.75                1

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

Answer:

Here is how i figured it out

Step-by-step explanation:

Brainliest pls ?

Answer:

A

Step-by-step explanation:

For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.

Answer:

danf that a long quiestion but i think it d

Step-by-step explanation:

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

Answer:

3cm²

Step-by-step explanation:

1/2 x 2 x 3 = 3

Answer: are there choices?

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2}[/tex]x + 2

Slope: [tex]\frac{3}{2}[/tex]

Y-Intercept: 2

Step-by-step explanation:

2y - 3x = 4

2y = 3x + 4

y = [tex]\frac{3}{2}[/tex]x + 2

Slope: [tex]\frac{3}{2}[/tex]

Y-Intercept: 2

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer:

[tex]:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ [/tex]

⚽ Cross multiplying both the sides we get :

[tex]:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n + 4= -6 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -6 - 4 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -10 \\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ [/tex]

[tex]:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ [/tex]

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

[tex]\frac{20}{12} = \frac{15}{x}[/tex]

[tex]20x = 15 \cdot 12[/tex]

[tex]x = \frac{180}{20}[/tex]

[tex]x = 9[/tex]

Therefore, x = 9.

Hope this helped!

Answer:

x=9

Step-by-step explanation:

We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]

First, we can simplify 20/12 by 4

[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]

this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)

5x=45

divide by 5

x=9

Hope this helps!