Help with question b please​

Step-by-step explanation:

Let [tex]f(x) = 4[/tex] and [tex]g(x) = \frac{1}{x^2}[/tex]. The area A of the region bounded by the given lines is

[tex]\displaystyle A = \int [f(x) - g(x)]dx[/tex]

Note that [tex]g(x) = \frac{1}{x^2}[/tex] intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as

[tex]\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx[/tex]

[tex]\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5[/tex]

[tex]\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}[/tex]

he drinks 5 1/4 pints of milk in 7 days

Step-by-step explanation:

3/4 × 7

=21/4

=5 1/4

Answer:

Given function:

A. The domain is all positive integers (number of people can't be negative), so as the range.

B. x = 19.2

C. f(x) = 655432

D. x = 7530

Answer:

Choice A.

[tex]2 {x}^{ \frac{2}{5} } \times y ^{ \frac{2}{3} } [/tex]

Answer:

the answer to this question is equal to 162

Answer:

(7, 4)

Step-by-step explanation:

If point C is being translated to the right 2, the x coordinate will increase by 2. But, the y coordinate will stay the same.

Find the coordinates of C' by adding 2 to the original x coordinate:

5 + 2 = 7

The y coordinate will still be 4.

So, the coordinates of C' will be (7, 4)

Step-by-step explanation:

I think this might be the correct answer

The number of pupils that like neither tasty-time nor ice cream is 6 if in a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty times.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

In a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty time.

Total = 70 pupils

Number of like tasty time = 36

Number of like ice cream = 34

Number of like both = 6

Let x be the total number of pupils that like neither tasty-time nor ice cream

The number of pupils that like ice cream only =  34 - 6 = 28

The number of pupils that like tasty-time only = 36 - 6 = 30

From the Venn diagram:

28 + 30 + 6 + x = 70

x = 70 - 64

x = 6

Thus, the number of pupils that like neither tasty-time nor ice cream is 6 if in a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty times.

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Answer:

4^8

Step-by-step explanation:

4^3 * 4^5

We know a^b * a^c = a^(b+c)

4^(3+5)

4^(8)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4^8[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the answer...}}\\\\4^3 * 4 ^ 5\\-----------------\\\text{Recall the exponent rule:}\\\\a^x * a^y = a^{x+y}\\\\\rightarrow 4^3 + 4^5\\\\\rightarrow 4^{3+5}\\\\\rightarrow \boxed{4^8}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

9514 1404 393

Answer:

  -π/2

Step-by-step explanation:

The number lies on the negative imaginary axis, at an angle of -π/2 radians from the positive real axis.

__

The principal argument is the angle in the interval (-π, π].

Answer:

2p + 30 = 80

p=25

Step-by-step explanation:

he earns $2 for each pizza, so we get 2p.

Because he earns an extra 30 for the day, we add that to 2p and set it equal to 80

2p+30=80

subtract 30 on both sides

2p=50

Divide by 2 on both sides to find the number of pizzas

2p/2=50/2

So

p=25

The probability of selecting 2 Snickers is 3/190. The probability of selecting a Snickers and Hershey Bar in that order is 3/76. The probability of selecting a Milky Way and a Kit Kat bar in that order is 18/190.

Number of Snickers = 3

Number of Hershey Bars = 5

Number of Kit-Kat Bars = 6

Number of Milky Ways = 6

Total number of chocolates = 20

a) What is the probability of selecting 2 Snickers?

= 3/20 × 2/19

= 3/190

The probability of selecting 2 Snickers is 3/190

b) What is the probability of selecting a Snickers and Hershey Bar in that order?

= 3/20 × 5/19

= 3/76

The answer is 3/76

c) What is the probability of selecting a Milky Way and a Kit Kat bar in that order

= 6/20 × 6/19

= 18/190

The probability is 18/190

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The solution is 4ln3 - 3ln5, which is correct option(C).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmatic operation are called arithmatic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln81/125

⇒ ln81 - ln125   [used property : logₐ(x/y) = logₐx - logₐy]

⇒ ln3⁴ - ln5³    [ 81 =3⁴ and 125 = 5³ ]

⇒ 4ln3 - 3ln5   [used property : logₐ(xⁿ) = nlogₐx]

Hence, the solution is 4ln3 - 3ln5

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Answer:

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is  ✔ correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is  ✔ incorrect— “25 percent” should replace “$25 billion.”

EDGE2021

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.

The E-commerce revenue refers to the revenue collected from buying & sales of goods or services via the internet,

Now for the first statement,

We see that

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday = 0.33

Total is 1.00

Therefore 0.33 is the 1/3 portion of total.

Hence, it is contributing one-third of the total 2018 e-commerce revenue.

Hence, statement one is correct.

For second statement,

Of 2016’s e-commerce revenue, $25 billion came on Black Friday.

⇒its 25 percent of the total e-commerce revenue.

Hence, statement two is incorrect.

Therefore,

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.

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Step-by-step explanation:

let , MP =x

then,

discount amount =D% of MP

= (20/100)× x

= 0.2x

now,Sp without VAT = MP-D

=x - 0.2x

= 0.8x

NoW, SP with VAT = Sp without VAT+ VAT %of SP

or ,6328 = 0.8x + 13% of 0.8x

or, 6328 = 0.8x + (13/100) × 0.8x

or, 6328= 0.8x + 0.104x

or,. 6328= 0.904x

or, X= 6328/0.904

X= 7000 Rs.

Hence ,MP is Rs.7000

Answer:

x = - 12/11

Step-by-step explanation:

Multiply by LCM (or LDC if you like that term better)

2 & 3 LCM = 6

6(3/2) x  + 6(1/3)x  + 5*6 = 3*6

9x + 2x + 30 = 18

11x = - 12

x = - 12/11

Answer:

Step-by-step explanation:

Given,

Points got by Judy in 1st round = 27 546

Points got by Judy in 2nd round = 34 668

Therefore,

Total points Judy got in the first two rounds

= 27 546 + 34 668

= 62 214 (Ans)

[tex]\\ \sf\longmapsto 0.0000000015[/tex]

[tex]\\ \sf\longmapsto 0.0015\times 10^{-6}s[/tex]

[tex]\\ \sf\longmapsto 0.015\times 10^{-7}s[/tex]

[tex]\\ \sf\longmapsto 0.15\times 10^{-8}s[/tex]

[tex]\\ \sf\longmapsto 1.5\times 10^{-9}s[/tex]

Answer: 0.0000000015 = 1.5 × 10⁻⁹

Concept:

When converting an integer to scientific notation:

- If the number is ≥1, then count the moves of the decimal point to the right until the number is 0<number<10. The number of moves will be the exponent that is positive.

- For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²

- If the number is <1, then count the moves of the decimal point to the left until the number is 0<number<10. The number of moves will be the exponent that is negative.

- For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³

Solve:

0.0000000015

The decimal point needs to move 9 times to the left to get a number that is between 0 and 10. The number is 1.5.

Thus, the scientific notion of 0.0000000015 will be 1.5 × 10⁻⁹

Hope this helps!! :)

Please let me know if you have any questions

Answer:

BC^2=10^2+30^2

Step-by-step explanation:

Using pythagorean theorem

[tex]\\ \sf\longmapsto BC^2=10^2+30^2[/tex]

[tex]\\ \sf\longmapsto BC^2=100+300[/tex]

[tex]\\ \sf\longmapsto BC^2=400[/tex]

[tex]\\ \sf\longmapsto BC=\sqrt{400}[/tex]

[tex]\\ \sf\longmapsto BC=20[/tex]

Answer:

:>

Hi

let's call X the initial deposit.

the interest rate is 5.2 %

so each year X increase by 1.052.

so we have : X *1.052^7 =2300

X = 2300/1.052^7

X = 1612,94

please note that the deposit was rounded to the next cent. as the result would be 1612,937...

Answer:

1686.22

Step-by-step explanation:

1686.22

 2300=P(1+(0.052x7))  

2300=P1.364  

P=2300/1.364  

=1686.217...  

=1686.22..

=1686 for the nearest dollar

Answer:

C

Step-by-step explanation:

The required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.

Given that,
The quadratic equation 4x² - 11x - 3 = 0 The equations is rewritten and ready to solve using factoring by grouping is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x² - 11x - 3 = 0
4x² - 12x + x - 3 = 0
4x[x - 3] + 1[x - 3] = 0
[4x + 1][x - 3] = 0

Thus, the required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.

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Answer:

[tex] \bar x = \frac{ \sum x}{n} \\ \\ \bar x = \frac{31353}{100} \\ \\ \bar x = 313.53[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex]n=100\\\\\displaystyle \sum_{i=1}^{100}x_i=31.353\\\\\\\overline{x}=\dfrac{\displaystyle \sum_{i=1}^{100}x_i}{n} =\dfrac{31.353}{100} =\boxed{0.31353}\\\\[/tex]

Step-by-step explanation:

I don't get the question a bit but I hope this makes sense

:)

9514 1404 393

Answer:

  a. 5/10

  b. 2.5/10

  c. 1/10

  d. 4/10

Step-by-step explanation:

To find the numerator, multiply each fraction by 10.

  a. (1/2)(10) = 5, so 1/2 = 5/10

  b. (1/4)(10) = 2.5, so 1/4 = (2.5)/10 or (5/2)/10

  c. (3/30)(10) = 1, so 3/30 = 1/10

  d. (12/30)(10) = 4, so 12/30 = 4/10

answer:

238 ft

explanation:

area of rhombus base×hight (14×12) = 168

find area of triangle 1/2(10)(14)=70

total area 168+70=238 ft.

Answer:

The answer is "(0.9193924 , 0.9206076)".

Step-by-step explanation:

[tex]\text{sample proportion}\ (SP) = 0.92\\\\\text{sample size}\ n = 851\\\\\text{Standard error} \ SE = \sqrt{\frac{(SP \times(1 - SP)}{n})}\\\\[/tex]

                              [tex]= \sqrt{\frac{(0.92 \times (0.08)}{851})}\\\\= \sqrt{\frac{0.0736}{851}}\\\\= \sqrt{8.648\times 10^{-5}}\\\\=0.00031[/tex]

[tex]\text{CI level is}\ 95\% \\\\\therefore\\\\ \alpha = 1 - 0.95 = 0.05\\\\\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\ Z_c = Z_{(\frac{\alpha}{2})} = 1.96[/tex]

Calculating the Margin of Error:

[tex]ME = z_{c} \times SE\\\\[/tex]

       [tex]= 1.96 \times 0.00031\\\\ = 0.0006076[/tex]

[tex]CI = (SP - z*SE, SP + z*SE)[/tex]

      [tex]= (0.92 - 1.96 * 0.00031 , 0.92 + 1.96 * 0.00031)\\\\ = (0.92 - 0.0006076 , 0.92 + 0.0006076)\\\\= (0.9193924 , 0.9206076)[/tex]

Answer:

4

Step-by-step explanation:

There are 4 reflectional symmetry

Answer:

60 cm^3

Step-by-step explanation:

The equation to find the volume for a rectangular prism is length times width time height.

So just multiply 5 times 3 times 4

V=(5)(3)(4)

V=60

Answer:

60cm^3

Step-by-step explanation:

w=3cm

h=4cm

l=5cm

[V=whl]

V=3×4×5=60