What type of motion transforms the letter “p” into a “b”?

The solution of the formula for s is:

[tex]s = \sqrt{\frac{5V}{h}}[/tex]

The equation is:

[tex]V = \frac{1}{5}s^2h[/tex]

To solve for s, we isolate it, hence:

[tex]s^2 = \frac{5V}{h}[/tex]

[tex]s = \sqrt{\frac{5V}{h}}[/tex]

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Using the z-distribution, the critical value for a confidence level of 90% is of Z = 1.65.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.65.

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The fraction of the remaining marbles in the bag will be blue is 6/17.

The first step is to determine the initial number of marbles in the bag:

Initial number of red marbles in the bag : (5/8) x 240 = 150

Initial number of blue marbles in the bag : (2/8) x 240 = 60

Initial number of green marbles in the bag : 240 - 150 - 60 = 30

Number of red marbles remaining after 1/3 is removed = (1 - 1/3) x 150

2/3 x 150 = 100

Number of green marbles remaining after 2/3 is removed = (1 - 2/3) x 30

1/3 x 30 = 10

Total number of marbles now in the bag : 100 + 10 + 60 = 170

Fraction of blue marbles = 60 / 170 = 6/17

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Using an exponential function, it is found that f(7.5) = 45.5.

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

For this problem, we have that f(3.5) = 12, then:

[tex]y = ab^x[/tex]

[tex]12 = ab^{3.5}[/tex]

[tex]a = \frac{12}{b^{3.5}}[/tex]

We also have that f(9) = 75, then:

[tex]y = ab^x[/tex]

[tex]75 = ab^9[/tex]

Since [tex]a = \frac{12}{b^{3.5}}[/tex]:

[tex]75 = \frac{12}{b^{3.5}} \times b^9[/tex]

[tex]b^{5.5} = \frac{75}{12}[/tex]

[tex]\sqrt[5.5]{b^{5.5}} = \sqrt[5.5]{\frac{75}{12}}[/tex]

[tex]b = \left(\frac{75}{12}\right)^{\frac{1}{5.5}[/tex]

b = 1.39542165

Then:

[tex]75 = ab^9[/tex]

[tex]a = \frac{75}{1.39542165^9}[/tex]

a = 3.7386

Hence:

[tex]y = 3.7386(1.39542165)^x[/tex]

When x = 7.5, we have that:

[tex]y = 3.7386(1.39542165)^{7.5} = 45.5[/tex]

Hence f(7.5) = 45.5.

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The area of a parallelogram is 20 inches square

The area of a parallelogram is the base of the shape multiplied by the height

Area of parallelogram = b × h

Where h = height = 2 In

base = 10 in

Area = 2 × 10

Area = 20 Inches square

Thus, the area of a parallelogram is 20 inches square

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[tex]\underset{\leftarrow \qquad \textit{\LARGE 4x}\qquad \to }{R\stackrel{4x-4}{\rule[0.35em]{7em}{0.25pt}} S\stackrel{2x}{\rule[0.35em]{20em}{0.25pt}}T} \\\\\\ RT~~ - ~~ST~~ = ~~RS\implies \stackrel{RT}{4x} - \stackrel{ST}{2x}~~ = ~~\stackrel{RS}{4x-4} \\\\\\ -2x=-4\implies x=\cfrac{-4}{-2}\implies \boxed{x=2}~\hfill \stackrel{4(2)~~ - ~~4}{RS=8}[/tex]

The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;

The given angles are;

At James's location; 61°

At Hadley's location; 73°

At Gwen's location; 46°

The distance between James and Hadley = 15 meters

The angle facing the distance between James and Hadley is the angle at Gwen, 46°

The angle facing the distance between Gwen and James is the angle at Hadley, 73°

The angle facing the distance between Gwen and Hadley is the angle at James, 61°

The angle that faces the 15 meter length is the angle at Gwen, which is 46°

By the rule of sines, the distance from Gwen to Hadley is therefore;

[tex] \frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)} [/tex]

Which gives;

[tex] Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24[/tex]

Similarly, we have;

[tex] \frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)} [/tex]

Therefore;

[tex] Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94 [/tex]

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The current stock price is $54.15.

Given that  RLX Company just paid a dividend of $2.85 per share on its stock and dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely.

Stock valuation alludes to the valuation of the natural worth per portion of an organization's stock which can help the organization in deciding its reasonable worth in case of twisting up or consolidation. One of the models used to esteem the stock cost is the profit development model. It expects the cost of the stock to be the current worth representing things to come profits of the stock accepted to develop at a consistent rate.

Dividend (D0) = $2.85

Growth rate (g) = 4.5%

Required return (r) = 10%

Firstly, we have to calculate the value of the current stock price.

The current stock price can be calculated by using the dividend growing model.

[tex]\begin{aligned}\text{Current stock price}&=\frac{D_{0}\times(1+g)}{r-g}\\ &=\frac{2.85\times (1+0.045)}{0.10-0.045}\\ &=\frac{2.85\times 1.045}{0.055}\\ &=\frac{2.97825}{0.055}\\ &=54.15\end[/tex]

Hence, the current stock price when dividend of $2.85 are expected to grow at a constant rate of 4.5 percent per year, indefinitely is $54.15.

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The simplifications of all the given ratios are as detailed below.

The simplification of each of the given ratios are;

1) 56 : 49

The highest common multiple is 7 and so we divide by 7 to get;

56 : 49 = 8:7

2) 36:48

The highest common multiple is 12 and so we divide by 12 to get;

36 : 48 = 3:4

3) 48:42

The highest common multiple is 6 and so we divide by 6 to get;

48 : 42 = 8:7

4) 24:36

The highest common multiple is 12 and so we divide by 12 to get;

24 : 36 = 2:3

5) 20:30

The highest common multiple is 10 and so we divide by 12 to get;

20 : 30 = 2:3

6) 24:32

The highest common multiple is 8 and so we divide by 8 to get;

24 : 32 = 3:4

7) 18:27

The highest common multiple is 9 and so we divide by 9 to get;

18 : 27 = 2:3

8) 16:14

The highest common multiple is 2 and so we divide by 2 to get;

16 : 14 = 8:7

9) 9:12

The highest common multiple is 3 and so we divide by 3 to get;

9 : 12 = 3:4

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[tex]\cos \left(\frac{3\pi}{2}-x \right)=\sin x \\ \\ =\cos \left(\frac{3\pi}{2} \right)\cos x -\sin \left(\frac{3\pi}{2} \right) \sin x \\ \\ =0\cos x -(-1)(\sin x) \\ \\ =\sin x[/tex]

Answer:

D. Avialable

Step-by-step explanation:

the correct spelling is available :)

The answer is D.

The correct spelling of the word in the given option is : Available

Instead, here the places of a and i have been interchanged, causing it to be misspelt.

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

Here we have the expression:

12d - 26c

To rewrite ti as a product, we need to find the greatest common factor between 12 and 26.

The decomposition of these two numbers is:

12 = 2*2*3

26 = 2*13

The greatest common factor between the two numbers is 2, then we can rewrite:

12d - 26c = 2*(6d - 13c)

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

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The algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.

Given the expression; 5(5x + 7) - 6 (4- 2x)

We expand and collect like terms.

5(5x + 7) - 6 (4- 2x)

25x + 35 -24 + 12x

We collect like terms

25x + 12x + 35 - 24

37x + 11

Therefore, the algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.

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Answer: Option (1)

Step-by-step explanation:

[tex]4x^4 -38x^3 -17x^2 -30x=0[/tex]

Dividing both sides by [tex]x-10[/tex] (10 is a root, so x-10 is a factor), yields

[tex]4x^3 +2x^2 +3x=0\\\\x(4x^2 +2x+3)=0\\\\x=0, 4x^2 +2x+3=0[/tex]

Solving the second case by the quadratic formula yields [tex]x=\frac{-1 \pm i\sqrt{11}}{4}[/tex].

So, the answer is Option (1).

Answer:

f(x + 3) = 2(x + 7)

Step-by-step explanation:

Now lets find out what does f(x + 3) means.

f(x + 3) means shifting the entire function 3 units to the left. Which also means, all x values will be shifted to the left by that number of units. (Excluding the constant that is multiplied or divided by x, eg. 5x + 6 shifted by 7 units to the left is 5(x + 7) + 6 and not 5x + 7 + 6.)

From the above,

f(x + 3) = 4(x + 3) + 2 = 4x + 12 + 2 = 4x + 14 = 2(x + 7)

The value of tan theta from the given. expression is  7/√51

Trigonometry identity are expressions written in terms of sine, cosine and tangents.

Given the following trigonometry values as shown:

sin(theta)=0.7

Convert the decimal to fractions

sin(theta)= 7/10

According to SOH CAH TOA;

sin theta = opp/hyp

Determine the adjacent

adj = √hyp²-opp²

Substitute the values;

adj = √10²-7²

adj = √100-49

adj = √51

Determine the value of tan theta

tan(theta) = opp/adj

Substitute

tan(theta) = 7/√51

Hence the value of tan theta from the given. expression is  7/√51

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Using the given frequencies, the probabilities for the next color chosen is:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

There were 50 markers, of which 12 were yellow, 37 blue and 1 red, hence the probabilities for each are given as follows:

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Answer: 22

Step-by-step explanation:

[tex]f(f^{-1}(x))=f^{-1}(f(x))=x[/tex]

Solving a system of equations we will see that we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

First, we need to define the variables:

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

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Answer:

best answer is c. (2,3),(4,4),(6,5),(8,6)

Step-by-step explanation:

multiply x and y components 2*3,4*4,6*5,8*6

Answer:

13200 needs to be less than 78*60+8840,

which is false because 13200 < 13520

Step-by-step explanation:

The truck cannot load 60 boxes as it exceeds the weight limit.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

W=78b+8840

So, b= 60

W= 78 x 66 + 8840

W = 5148 +8840

W = 13988 > 13200 ( limit for the weight)

Hence, the truck cannot load 60 boxes as it exceeds the weight limit.

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The underlined sentence in the text simply functions as; the conclusion of the text and connects ideas in the text, by making the main claim of the text describing why the information provided matters to readers.

The underlined text in the passage functions as the conclusion to the passage in which case, the information intended to be conveyed is that on the occasion that, regular feeding, good housing, occasional gentle corrections and kindness are in place, there'd be no need for such a cat to steal.

Therefore, the structural element of the paragraph in the underlined sentence, and how it connect ideas in the text is; by making the main claim of the text

describing why the information provided matters to readers.

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Using the normal distribution, the z-scores are given as follows:

a) Z = 2.8.

b) Z = 2.8.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Item a:

The parameters are:

[tex]\mu = 15, \sigma = 2.5[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 15}{2.5}[/tex]

Z = 2.8.

Item b:

The parameters are:

[tex]\mu = 38.1, \sigma = 6.35[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.88 - 38.1}{6.35}[/tex]

Z = 2.8.

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Answer:

$160

Step-by-step explanation:

115% = $184

100% = X

let X be the original salary

(X is unknown)

115% = $184

100% = X

cross mutiply

115 x X = 100 x 184

115X = 18400

X = 18400 divided by 115

X = $160

therefore,Mr Black's original salary before increased by 15% was $160

hope am helpful.

Answer:

A) 6.0

Step-by-step explanation:

First, total amount of hours, since average is sum of the numbers by how many numbers there is.

Day 1=8x2 hr

Day 2=6x1 hr

Day 3=4x2 hr

which is, 16+6+8=30

then divide 30 by how many days there is, which is 5 days.

30/5=6