HELP for (ii)…..how do we find a?

HELP For (ii)..how Do We Find A?

Answers

Answer 1

By using the information given on the graph, we can see that a = 3.

How to find the value of a?

Here we have an exponential of the form:

[tex]y = p*a^x[/tex]

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

[tex]4 = p*a^0\\\\36 = p*a^2[/tex]

From the first equation we get that p = 4, replacing that on the second one we get:

[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]

So we conclude that a = 3.

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Related Questions

Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours

Answers

The length of time needed for the dough to last if 40 pizzas is required is 4 hours.

Inverse variation

let

length of time = lnumber of pizza = p

l = k / p

where,

k = constant of proportionality

If l = 5 and p = 32

l = k / p

5 = k / 32

5 × 32 = k

160 = k

Find l when p = 40

l = k / p

l = 160/40

l = 4 hours

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Can somebody please help me with this

Answers

Answer: 3

Step-by-step explanation:

−11 ≤ −5; Add 16 to both sides

The resulting inequality is:

Answers

Answer:

True (-∞, ∞)

Step-by-step explanation:

−11 + 16 ≤ −5 + 16

5 ≤ 11

PLEASE HELP!!!!!!
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the volume of the tank is 300π cubic ft and its height is 10 ft.
What is the diameter of the tank? Round only your final answer to the nearest foot.

Answers

Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I’m really confused on what the answer is supposed to be

Answers

Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

8 > 4 - xx > -4

Taking the right part of the inequality :

4 - x > 6-x > 2x < -2

Solution :

-4 < x < -2

Which ratio represents the number of vowels to total letters in the word JACKSONVILLE?

Answers

Step-by-step explanation:

4:12 there are four vowels and 12 letters?

I don't know how to solve this question you can take a look at it in the attachment image.

Answers

The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

How to determine the codomain of the function?

The equation of the function is given as:

[tex]g(x) = 2x^2 + 4x - 1[/tex]

The above function is a quadratic function and it has the following features:

Domain = [tex](-\infty, \infty)[/tex]

Range: [tex][-3, \infty)[/tex]

When the range and the domain are combined, we have:

[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]

This gives

[tex][-3, \infty[[/tex]

Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

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find the value of x. cos(67°) = 1/x​

Answers

[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]

A marketing company is interested in the proportion of people that will buy a particular product. Match the vocabulary word with its corresponding example.

Answers

Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.

Matching word to the corresponding example?

The corresponding example of the word can be matched as follows:

Population : All the people in the marketing company region.

In statistics, a population is a group of individuals from which are subject to study.

Sample: The 380 randomly selected people who are observed to see if they will buy the product.

A sample represents the group of interest from a population, this group represent the data.

Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.

Data: The list of the 380 Yes or No answers to whether the person bought the product.

Data are the figures that are collected, analysed, and summarized for interpretation.

Parameter: The proportion of all people in the company's region who buy the product

Statistics: The proportion of the 380 observed people who buy the product

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Please help me do this question mathematics genius

Answers

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

How to find the total differential of a multivariate function

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?

Answers

Let's examine what the problem gives us:

Distance ⇒ 10000 milesTime ⇒ 200 ft

What does the problem want:

  ⇒ time (in hours)

Must find the relationship between distance, speed, and time:

   ⇒ Distance = Speed * Time

       ⇒  [tex]Time = \frac{Distance}{Speed}[/tex]

Let's convert some units:

We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour

               ⇒ let's convert

                  ⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]

Now let's solve:

   [tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]

Answer: 73.33 hrs (estimated)

 


Here are four measurements.
20 cm, 1 m, 30 mm and 2.5 cm.
Order the measurements from
smallest to largest.



Answers

Answer:

30 mm, 2.5cm,20cm and 1m

Simplify: (12j2)5(25j3)2.

Answers

What is the j equal in this equation

Simplified

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Step-by-step explanation:

[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]

[tex]2^(^2^+^1^) = 2^3[/tex]

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?

Answers

i believe the answer would be 25 + 0.35m = 42.50

Please help
A survey asked, "Do you support capital punishment?" Of the 800 Americans surveyed, 550 responded no. For a 90% level of confidence, find the margin of error associated with the poll. Write your answer as a percent rounded to the tenths place.

MOE = %

Answers

Answer:

10% maybe

Step-by-step explanation:

because 90% said no and 10% said yes

I hope it helps you

Does the pair of ratios form a proportion?

85 , 42

18 9

Answers

Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.


A 5-pound bag of candy costs $13.05. What is the unit price?

Answers

Answer:

1.85 because: 9.25 divided by 5 equals 1.85

I hope I have helped you and if you like go to my profile that I also need a hand, thanks.

click on the picture and please help this is due in 1 hour!

Answers

Answer:

4.7 Pounds

Step-by-step explanation:

[tex]14 \div 3≈4.6[/tex]

(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)

3. Don’s Clothing advertised a clothing sale. On the first day, all clothing was marked 1/10 off. On the second day, unsold items were marked 2/5, the third day, 3/10 off, and so on. If the markdowns continued this way, on which day were prices marked 4/5, or 80% off?

Answers

Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on : The Fourth Day

Meaning of advert and sale

An advert is a form of publicity or awareness done to increase sale or increase the purchase of goods from a company or organization. it makes the public aware of an offer made by an organization or company.

Sale is the exchange of goods or services for money. it is between the company or organization and the consumer.

In Conclusion, Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on The Fourth Day

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What does 3+y3+z3= I can’t do it

Answers

Answer: 42 easy!

Step-by-step explanation: 42 hope this helps

What is the square root of 1 x pi

Answers

Answer:

3.14159265359 or simplify it to 3.14...

and also this q plsss the deadline is tmrw i have no time

Answers

Problem 8

The box portion of the shed (ignoring the triangular roof) has a volume of:

length*width*height = 10*8*6.5 = 520 cubic feet

The triangular face on the right side has an area of base*height/2 = 8*2.5/2 = 10. Multiply this with the depth of the triangular prism and we get a volume of 10*10 = 100 cubic feet.

The two sub-volumes combine to 520+100 = 620

Answer: 620 cubic feet

===========================================================

Problem 9

Let's find the area of the base

area = side*side = (4.2)*(4.2) = 17.64 sq inches

Then we plug that into the formula below, along with the height of the pyramid

V = volume of a pyramid

V = (1/3)*(area of the base)*(height)

V = (1/3)*(17.64)*(5)

V = 29.4

Answer: 29.4 cubic inches

Your teacher made a typo. She or he should have written [tex]\text{in}^3[/tex] instead of [tex]\text{in}^2[/tex]

Answer:

Okay so you basically need to break this shape into sensible pieces. Such as rectangular and triangular prisms.

first let's find the rectangular prisms' volume, we need to multiply 6.5 with 10 and 8.

6.5×10×8 gives us 520

520 is the volume of the rectangular prism (below the shape)

to find the triangular prism's volume follow these steps:

2.5×8×10×1/2 which gives us 100

now we need to take the sum of these

100+520=620

the answer is C good luck!

Please help meeeeee!!!!

Answers

Answer:

the answer is 1

Step-by-step explanation:

you can type it in your scientific calculator and the answer will be 1

help will mark Brainliest!!​

Answers

The answer would be the first option.
0.03 is the lowest.

0.3 is the second lowest

0.35 is the highest

The answer is 0.03, 0.3, 0.35

Explain step by step how
to estimate the square root
of 13 and show your work

Answers

there is no good answer to this, but roughly 3.6. the best explanation is to find two numbers that multiply to itself to get close to 13. in this case, 3*3 will get us the closest in terms of whole number, so keep going. 3.5^2 is 12.25, so we are getting closer. 3.6^2 is 12.96. at that point, you would get smaller and smaller to a repeating number, so 3.605 is the closest really you can get

NEED HELP ASAP 45 POINTS

What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G

Answers

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

Please Help!
Find tan x/2, given sin x = 3/5, with 90° < Θ < 180°

Answers

we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]

PLEASE HELP!! 35 POINTS!!!

ignore my writing if it’s wrong

Answers

Answer: sin(x)=5/11

Step-by-step explanation:

For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11

17. A farmer sells com to a restaurant and a grocery store. One week, the farmer sells a combined
total of more than 120 bushels.
Which graph best represents the solution set for all possible combinations of x, the number of
bushels sold to the restaurant, and y, the number of bushels sold to the grocery store, for the
week?

Answers

The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.

Which graph describes the possible combinations sold?

A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.

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Lisa's test grades are 79, 89 and 90

b. There will be one more test this year. If Lisa wants her test average to at least be 88, what is the lowest grade she could get on her last test.

Answers

Answer:

94

Step-by-step explanation:

Equating the mean to the scores :

88 = 79 + 89 + 90 + x / 4352 = 258 + xx = 94
Mean=Sum of data/No of data

So

Let that be n

n+79+89+90/4=88n+258/4=88n+258=352n=94
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