Find the product of this expression.

(2a - 3b)(4a 2 + 6ab + 9b 2 ) =

The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given logarithmic expression is,

[tex]\log18 -\log(p+ 2)[/tex]

Let the expression which is equivalent to above expression is f(p). Thus,

[tex]f(p)=\log18 -\log(p+ 2)[/tex]

With the help of Quotient Rule of logarithmic, the above expression can be written as,

[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]

Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

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[tex]Cost\:of\:56m^2lawn=$112\\Cost\:of\:1m^2 lawn=$(112/56)\\=$2Cost\:of\:99m^2=$(99\:x\:2)=$198\\=14166.9rs /14167 rs[/tex]

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Answer:

$154

Step-by-step explanation:

You have to divide 112/56 to get the amount of money each m squared is which is 2

Then you subtract 77-56 to get the difference, which is 21 and then you multiply 21•2 which is 42

Then you add 42+112 which will be 154

[tex] \qquad\qquad\huge\underline{{\sf Answer}}{} [/tex]

Surface area of a cube is :

[tex]\qquad \tt \dashrightarrow \:6 {a}^{2} [/tex]

where, a represents side length of each edge.

[tex]\qquad \tt \dashrightarrow \:a = 6(6.4) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:a = 6(40.96)[/tex]

[tex]\qquad \tt \dashrightarrow \:a = 245.76 \: \: unit {}^{2} [/tex]

it can be taken as an approximate of :

[tex]\qquad \tt \dashrightarrow \:a \approx245.8 \: \: unit {}^{2} [/tex]

Answer:

The answer is D. 245.8 unit^2

Answer:

9/20

Step-by-step explanation:

The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.

The probability of distributing the rulers is calculated as follows;

Total outcome = 15 rulers with centimeter markings + 10 rulers without centimeter markings

Total outcome = 25

The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings;

P = (R with M) and (R without M)

P = (15/25) x (9/24)

P = (3/5) x (3/8)

P = 9/40

Thus, the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.

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Answer:

Circumference of a 28 Foot Diameter Circle ; 87.965, feet ; 1,055.6, inches ; 87′ 11.6″, feet and inches ; 26.812, meters ; 2,681.2, centimeters .

Step-by-step explanation:

Answer:

∠CED = 58°

Step-by-step explanation:

Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:

Definition of Linear pair: A linear pair is two angles that form a 180 angle.

We are given that:

Therefore, when we substitute the measure of ∠AED, we get;

This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.

Therefore, the measure of ∠CED is 58°.

The measure of angle CED is 58° adjacent to the angle AED.

A pair of linear angles are adjacent to each other whose sum is 180°.

Given, a measure of the angle AED is 122°

We know the measure of linear pair of angles is 180°.

∴ m∠AED + m∠CED = 180°.

122° + m∠CED = 180°.

m∠CED = 180° - 122°.

m∠CED = 58°.

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132 in

Step-by-step explanation:

Answer:

9 teenagers

Step-by-step explanation:

12/20 = x/15

180/20 = x

9 = x

-----------------------

9 teenagers would take to finish the large pizza in 15 mins

Answer:

37.80

Step-by-step explanation:

a^2 + b^2 = c^2

=> 23^2 + 30^2 = x^2

=> 1429 = x^2

=> 37.80

Hope this heps :)

Answer:

1. 676 2. 10,000 3. 2,500  4. 1,681

Step-by-step explanation:

1. Using the Pythagorean Theorem (a sqaured + b sqaured = c sqaured) you do 10 sqaured plus 24 squared which equals 676.

2. By using the same Theorem, you do 60 sqaured plus 80 sqaured which equals 10,000.

3.By using the same Theorem, you do 30 sqaured plus 40 sqaured which equals 2,500

4.By using the same Theorem, you do 40 sqaured plus 9 sqaured which equals 1,681.

First, we must know the formula for solving the volume of a cylinder, which is [tex]V = \pi r^2 h[/tex]. Since the water is only being filled to 5 feet, we do not care about the 0.5 feet of the height.

Using the formula, we need to plug-in the numbers for the radius (20 divided by 2 is 10) and height. Doing this, the equation should now look like this: [tex]V = 3.14 * 10^2 * 5[/tex]. When solving, the volume of the water is 1570 feet cubed.

Answer:

1570.796 feet cubed

Step-by-step explanation:

First you find the surface area of the base of the cylinder which should look like this:

(10^2)(π)

Next you multiply that by the height (5 feet) because 3d shapes are bases stacked on each other which should look like this:

314.1592654(5)

After that arithmetic you will get 1570.796 or 1570.8 rounded as your answer!

Answer:

Hope this helps!

Answer:

A= 3/2, B = 1, C = -14

Step-by-step explanation:

Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-3/2(x-(-8))[/tex]

[tex]y+2=-3/2(x+8)[/tex]

Distribute -3/2

[tex]y+2=-3/2x-3/2*8[/tex]

[tex]y+2=-3/2x-12[/tex]

Get y by itself by subtracting 2 to both side.

[tex]y=-3/2x-14[/tex]

[tex]3/2x+y=-14[/tex]

A = 3/2 , B = 1 , C= -14

Answer:

the answer is w. this is a linear function that is increasing over time.

Step-by-step explanation:

Check the picture below.

so if y = 2, then 2y = 4, thus

[tex]\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45[/tex]

Answer:

x = (M-4t)/4

Step-by-step explanation:

First we expand the brackets:

4(x+t) =M

4x +4t = M

Subtract 4t from both sides:

4x +4t -4t = M -4t

Simplify:

4x = M -4t

Divide both sides by 4 :

4x÷4 = (M-4t)/4 = (M-4t)÷4

x = (M-4t)/4

Hope this helped and brainliest please.

Answer:

24

Step-by-step explanation:

7+3^2+(12-8)/2x4

=7+9+4/2x4

=7+9+2x4

=7+9+8

=24

A quadratic equation is in the form of ax²+bx+c. The graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The given equation is a quadratic equaion, therefore, to know if the equation will intersect with the x-axis we need to find the roots of the equation.

Since the value of the discriminant is negative for this equation, the roots of the equation will be imaginary. Plotting the graph, we will observe that the graph will not intersect the x-axis at any point.

Hence, the graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

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Answer:

A

Step-by-step explanation:

(Not sure if this is completely right but this should be it)

Answer:

4th option

Step-by-step explanation:

using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

then

[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]

Answer:

Step-by-step explanation:

Given

Rule

Here,

So, on subsituting :

Answer:

Option E) 832.9km2

Step-by-step explanation:

The total area of the circle:

[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]

The proportion of the blank region:

[tex]\frac{(67)(3)}{360} =0.558333[/tex]

Then the proportion of the shaded region is:

[tex]1-0.558=0.441667[/tex]

Extract this proportion from the total area

[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]

Hope this helps

The Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.

Thus, the total amount he drank is,

[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]

Take the LCM 100, to solve it further,

[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]

Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.

Thus, the Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

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Step-by-step explanation:

group like terms

[tex]3w \geqslant 19 - 1[/tex]

solve

[tex]3w \geqslant 18[/tex]

divide the number with the variable by both sides

[tex] \frac{3w}{3} \geqslant \frac{18}{3} [/tex]

solve

[tex]w \geqslant 6[/tex]

Answer:

w ≥ 6

Step-by-step explanation:

Given:

3w+1≥19

Solve:

3w+1≥19

Subtract 1 from both sides

3w+1≥19

     -1  -1

-----------------

3w≥18

Divide both sides by 3

3w/3 ≥18/3

w ≥ 6

Hence, the answer is:

w ≥ 6

Kavinsky

Answer:

the variable term is (t)

the answer is 13.50t

Answer:

it will be 13.50t

Step-by-step explanation:

it says 13.50 for EACH Ticket so it is the last one

Hope it helps <333

Answer:

Q' (0, 1)

Step-by-step explanation:

(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y

(0, 2) → (0.5(0), 0.5(2)) <== multiply

(0, 2) → (0, 1)

Hope this helps!

Pasos

5

3

​

k+

10

7

​

=

15

11

​

k−

5

2

​

Resta  

15

11

​

k en los dos lados.

5

3

​

k+

10

7

​

−

15

11

​

k=−

5

2

​

Combina  

5

3

​

k y −

15

11

​

k para obtener −

15

2

​

k.

−

15

2

​

k+

10

7

​

=−

5

2

​

Resta  

10

7

​

 en los dos lados.

−

15

2

​

k=−

5

2

​

−

10

7

​

El mínimo común múltiplo de 5 y 10 es 10. Convertir −

5

2

​

 y  

10

7

​

 a fracciones con denominador 10.

−

15

2

​

k=−

10

4

​

−

10

7

​

Como −

10

4

​

 y  

10

7

​

 tienen el mismo denominador, reste sus numeradores para restarlos.

−

15

2

​

k=

10

−4−7

​

Resta 7 de −4 para obtener −11.

−

15

2

​

k=−

10

11

​

Multiplica los dos lados por −

2

15

​

, el recíproco de −

15

2

​

.

k=−

10

11

​

(−

2

15

​

)

Multiplica −

10

11

​

 por −

2

15

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

k=

10×2

−11(−15)

​

Realiza las multiplicaciones en la fracción  

10×2

−11(−15)

​

.

k=

20

165

​

Reduzca la fracción  

20

165

​

 a su mínima expresión extrayendo y anulando 5.

k=

4

33

​

Answer:

33/4

Step-by-step explanation:

3k/5 +7/10 = 11k/15 - 2/5

11k/15 - 3k/5 = 7/10 +2/5

11k/15 - 9k/15 = 7/10 + 4/10

2k/15 = 11/10

2k = 165/10

2k = 33/2

k = 33/4

Answer:

[tex]V = 1847.26\ ft^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V=\pi r^2h[/tex]

[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]

[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]

[tex]V = \pi * 588\ ft^3[/tex]

[tex]V = 1847.26\ ft^3[/tex]

Answer:   [tex]V = 1847.26\ ft^3[/tex]

Answer:

Step-by-step explanation:

volume