Please help! A hat has the following marbles in it: 5 gray, 3 red, 6 white, 2 yellow and 4 green.

What is the probability of picking a gray marble, replacing the marble in the hat, and then picking a yellow marble?
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Answer:

The answer is "[tex]\bold{\frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}}[/tex]".

Step-by-step explanation:

[tex]\to f(x) = \frac{2x^2+16x}{16x^3-x}[/tex]

            [tex]= \frac{2x(x+8)}{x(16x^2-1)}\\\\= \frac{2(x+8)}{(16x^2-1)}\\\\= \frac{2(x+8)}{((4x)^2-(1)^2)}\\\\= \frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}\\\\[/tex]

Answer: the function is discontinuous at x=0

To create the extended function add f(x)=0,x=0

Step-by-step explanation:

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

Answer:

5

Step-by-step explanation:

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

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Answer:

[tex]=3\frac{1}{4} + 2\frac{2}{3}+5\frac{3}{4}\\\\[/tex]

=[tex]\frac{13}{4} + \frac{8}{3} + \frac{23}{4}[/tex]

[tex]=\frac{(13*3)+(8*4)+(23*3)}{12} \\\\=\frac{39 + 32 + 69}{12} \\\\=\frac{140}{12}\\\\=\frac{35}{3}\\\\ = 11\frac{2}{3}lbs[/tex]

Answer:

[tex]The ~length~ is ~9.6~ units[/tex] ✔︎

༄❁༄❁༄❁༄❁༄

[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]

[tex]Using~ Pythagorean ~theorem:[/tex]

[tex]c^2=a^2+b^2[/tex]

[tex]c^2=(8)^2+(2)^2[/tex]

[tex]\sqrt{c^2} =\sqrt{68}[/tex]

[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]

»»---------------------►

[tex]d^2=c^2+e^2[/tex]

[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]

[tex]d^2=68+25[/tex]

[tex]\sqrt{d^2} =\sqrt{93}[/tex]

[tex]d=\sqrt{93} ~or~9.6[/tex]

[tex]So, your~ answer ~is ~9.6[/tex]

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

Answer:

Using Pythagorean theorem

c=(8)²+(2)²

√c²=√68

c=2√17 or √68

d²=(2√17)²+(5)²

d²=68+25

√d²=√93

d=√93 or 9.6

OAmalOHopeO

Answer:

No.

Step-by-step explanation:

Because the lateral faces of a regular pyramid are congruent isosceles triangles. The altitude of any of these triangles is the slant height of the regular pyramid.

Answer:

I don't speak spanish

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

Answer: = 16

Step-by-step explanation: Hope this help :D

Answer: I believe the answer is D

Step-by-step explanation:

Answer:

B. Number of days she trains

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Answer:

[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]

Step-by-step explanation:

We are given this data and asked to find the data.

8, 7, 8, 5, 4, 6

The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.

[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]

First, we calculate the sum of the terms. Add up all the numbers.

[tex]mean=\frac{38}{number \ of \ terms}[/tex]

Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).

[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]

Let's round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]mean \approx 6.3[/tex]

The mean number of movies the students saw is approximately 6.3

Step-by-step explanation:

Terms are

[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]

[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]

[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]

Answer:

60

Step-by-step explanation:

The expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

The dimension of the tabletop is:

Parallel sides = 5 feet and 9 feet

Height = 4 feet

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

This gives

Area = 0.5 * (5 + 9) * 4

Hence, the expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

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Answer:

The third statement is true.

2.5t + 4 = 6.5 (in. of snow)

Answer:

I think its the first one

Step-by-step explanation:

Answer: i think it’s D

Step-by-step explanation:

Answer:

The answer is B. 12.48.  I hope you have an amazing day <3

Step-by-step explanation:

Answer:

The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48

Step-by-step explanation:

summation is the addition of a sequence of any kind of numbers

Here we need to find the summation of first four terms.

so ,

S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex]  = 0.08

S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4

S₂ = 10 ×  [tex]( 0.2 )^{2-1}[/tex] = 2

S₁ = 10  ×  [tex]( 0.2 )^{1-1}[/tex] = 10

Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48

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Answer:

Answer is 12

Step-by-step explanation:

height is (4 square untis) and base is (6 square units).

Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.

Hope this helps !

Answer:

2. B. 30 sq yd

Step-by-step explanation:

[tex]area = area \: of \: triangle \: + \: area \: of \: parallelogram \\ but \: area \: of \: parallelogram = area \: of \: rectangle - area \: of \: two \: small \: triangles \\ = (4 \times 8) - 2( \frac{1}{2} \times 3 \times 4) \\ = 32- 12 \\ = 20 \: sq \: yards \\ area = (\frac{1}{2} \times 5 \times 4) + 8 \\ = 10 + 20 \\ = 30 \: sq \: yards[/tex]

Answer:

The area of shaded figure is 30 sq yards .

Step-by-step explanation:

In the graph the figure is consist of :

To calculate the area of shaded figure we need to find the area of triangle and parallelogram and combine them to get the area of shaded figure.

Finding the area of triangle:-

Area of triangle = ½ × Base × Height

Area of triangle = ½ × 5 × 4

Area of triangle = ½ × 20 yard²

Hence, the area of triangle is 10 sq yards.

Finding the area of parallelogram :

Here, to calculate the area subtract the area of two small circle from the area of rectangle .

Area of parallelogram = l × b - 2 (( b × h )½)

Area of parallelogram = 4 × 8 - 2 ( 3 × 4 × ½)

Area of parallelogram = 32 - 12.

Area of parallelogram = 20 sq yards.

Hence, Area of parallelogram = 20 sq yards.

Area of figure = Area of parallelogram + Area of triangle.

Area of figure = 20 sq yards + 10 sq yards.

Area of figure = 30 sq yards .

Hence,

The area of shaded figure is 30 sq yards .

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

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Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

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Answer: .41+.34=.75

Step-by-step explanation:

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

Answer:

65,780 im pretty sure

Step-by-step explanation: