create and equivalent expression for 12^-7 x 12^5

Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

Answer:

It would be D because it expresses the relationship between those sections

If PV = 800, then P can be written as a function of V,

P(V) = 800 / V

(a) The average rate of change of P as V increases from 200 to 250 in³ is then

(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write V as a function of P :

V(P) = 800 / P

Take the derivative:

V'(P) = - 800 / P²

which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

\(V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h\)

\(V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h\)

\(V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h\)

\(V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h\)

\(V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}\)

Part(a): The average rate of change of \(\frac{dP}{dV}\) is \(-0.0164 lb/in^{2}\)

Part(b): The required answer is \(\frac{dV}{dP} \infty \frac{1}{P^{2}}\)

Part(a):

Given,

\(PV=800\)

Differentiating the above equation with respect to \(V\).

\(\frac{dP}{dV}=-\frac{P}{V}\)

Now, at \(V=200 in^{3}\) and \(P=4 lb/in^2\)

At \(V=250 in^3\) and \(P=\frac{80}{25} lb/in^2\)

Hence, we can write,

\(\frac{dP}{dV}\) at \(V=200\) we get,

\(\frac{-1}{200}=\frac{-1}{50}\)

Again \(\frac{dP}{dV}\) at \(V=250\) we get,

\(\frac{-80}{25\times 250}\)

So, the average rate of change of \(\frac{dP}{dV}\) is,

\(\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2\)

Part(b):

Given,\(PV=800\) then,

\(V=\frac{800}{P}\)

Now,\(\frac{dV}{dP} =-\frac{800}{P^2}\)

Then the above implies,

\(\frac{dV}{dP} \infty \frac{1}{P^{2}}\)

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Answer:

1. y=kx k is the constant of variation

2. y= 12x is in this form

3. with k= 12

Step-by-step explanation:

hope this helps! can i get brainliest :)

The reflection preserves the side lengths and angles of the triangle. The dilation preserves angles but not side lengths. Therefore, option B is the correct answer.

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given that, triangle is reflected across the y-axis and then dilated by a factor of centered at the origin.

The triangle ABC in a graph with vertices A (-4, -2), B (4, -2), and C (4, 4)

A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.

The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

Therefore, option B is the correct answer.

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Answer:

1/2?

Step-by-step explanation:

I'm sorry but you kinda gave me nothing to work with, so I will guess 1/2 or you could add something

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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Step-by-step explanation:

Hey, there!!

C = {6,8}

n(C) means cardinality of set.

We define cardinality of set as the no. of elements present in set.

It contains 2 no. of elements.

so, its cardinality is n(C) is 2.

Hope it helps...

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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The function

denotes a vertical compression by a factor of 1/3. A vertical compression is the squeezing of the graph towards the x-axis and is when the factor is between 0 and 1.

So, the answer is:

which corresponds to the second option.

Answer:

I think its either 5 or 4 one of the 2

Answer:

i got you bro

Step-by-step explanation:

Express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.

Answer:

The value of limit = \(\frac{13}{8}\)

Step-by-step explanation:

Explanation:-

Given  \(\lim_{x \to 4} \frac{x^{2}+5 x-36 }{x^{2}-16 }\)

      =  \(\lim_{x \to 4} \frac{x^{2}+9 x-4 x-36 }{(x-4)(x+4) }\)

     = \(\lim_{x \to 4} \frac{(x(x-4)+9(x-4) }{(x-4)(x+4) }\)

     =\(\lim_{x \to 4} \frac{((x-4)(x+9)}{(x-4)(x+4) }\)

   = \(\frac{4+9}{4+4}\)

  = \(\frac{13}{8}\)

Hence the limit exists and The value of limit = \(\frac{13}{8}\)

Answer:

1,6 ,15,20,15,6,1

Step-by-step explanation:

The trick here is that the expansion are the

numbers in pascal triangle

1

1,1

1,2,1

1,3,3,1

1,4,6,41,

1,5 ,10, 10, 5, 1

1,6 ,15,20,15,6,1

Answer:

1, 6, 15, 20,15, 6, 1,

Step-by-step explanation:

The Coefficients ; (x + y)^6

The coefficients can be obtained as follows :

6C0 ; 6C1 ; 6C2 ; 6C3 ; 6C4 ; 6C25 ; 6C26

nCr = n! ÷ (n-r)! r!

Using calculator to get the direct values :

We have :

1, 6, 15, 20,15, 6, 1,

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

a. 3.2 cm

b. 6.25 km

Step-by-step explanation:

a.

(4 km)/(5 km) = 0.8

4 km is 0.8 of 5 km, so in the map it is 0.8 of 4 cm.

0.8 * 4 cm = 3.2 cm

Answer: 3.2 cm

b.

(5 cm)/(4 cm) = 1.25

5 cm is 1.25 times 4 cm, so it represents 1.25 * 5 km.

1.25 * 5 km = 6.25 km

Answer: 6.25 km

Answer:

a. 3.2 cm

b. 6.25 km

Step-by-step explanation:

Scale problems can be solved with proportions.

a.

4 cm / 5 km = x cm / 4 km

4/5 = x/4

5x = 4 × 4

5x = 16

x = 16/5

x = 3.2

Answer: 3.2 cm

b.

4 cm / 5 km = 5 cm / x km

4/5 = 5/x

4x = 25

x = 25/4

x = 6/25

Answer: 6.25 km

Answer:

41

Step-by-step explanation:

250-45=205

205/5=41

Answer:

x+2_3x_x=2^2

2_3x=4

3x=4+2

x=6÷3

×=2 is ans

Answer:

what we cookin ma boi

Step-by-step explanation:

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

The Central Limit Theorem states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution regardless of the underlying distribution of the variable. In this case, we have a sample size of 42, which is large enough for the Central Limit Theorem to apply.

The mean of the sampling distribution of the mean is equal to the population mean, which is $100. The standard deviation of the sampling distribution of the mean is equal to the population standard deviation divided by the square root of the sample size, which is $20 / sqrt(42) ≈ $3.08.

We can standardize to find the z-score for a sample mean of $90: z = ($90 - $100) / $3.08 ≈ -3.25. Using a z-table, we find that the probability of getting a z-score less than -3.25 is approximately 0.0006. Therefore, the probability that the mean coffee expense of a randomly selected sample of 42 college students is greater than $90 is approximately 1 - 0.0006 = 0.9994.

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

1the answer for this is easy it is 4.4

Answer:

2 and a half

Step-by-step explanation:

250 times 2= 500

250 divided by 2=125

500 plus 125= 625

brainliest please

Answer:

35,000

Step-by-step explanation:

move decimal 4 places to the right

Answer:

35,000

Step-by-step explanation:

3.5 x 10^4 = 3.5 x 10,000 = 35,000

Note that given the above functions, the completed table is given as follows;

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

To complete the table for g(h(x)), we need to first find the value of h(x) for each value of x in the table, and then substitute that value into the function g(x) to get the corresponding value of g(h(x)).

x h(x)                       g(h(x))

0 3(0)²-3                g(-3) = 2(-3)-5 = -11

1 3(1)²-3               g(6) = 2(6)-5 = 7

2 3(2)²-3               g(15) = 2(15)-5 = 25

3 3(3)²-3               g(24) = 2(24)-5 = 43

4 3(4)²-3              g(45) = 2(45)-5 = 85

Therefore, the completed table for g(h(x)) is:

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached table.

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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