Solve the equation for all values of x in simplest form: (x-9)^2 = 15

Answer:

9108

Step-by-step explanation:

23^3+(-12)^3+(-11)^3                              remove parentheses

= 23^3-12^3-11^3                                  group difference of two cubes

= (23-12)(23^2+23*12+12^2) + 11^3      factor difference of two cubes

= 11 (23^2+23*12+12^2-11^2)                factor ou 11

= 11(23(23+12) + (12+11)(12-11))              apply difference of two squares

= 11 (23*35+23*1)                                  factor out 23

= 11(23*(35+1))                                       simplify

= 11*23*36                                             convert 11*23 into difference of 2 squares                                                                    

= (17^2-6^2)*6^2                                   expand parentheses

= 102^2-36^2                                       evaluate squares

= 10404 - 1296                                     subtraction

= 9108

(no calculator required)

The answer is shown below:

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

1+5.2 + (1+3)²

=1+10 + 16

=27

0.25*4³-1

=0.25*64-1

=16-1

=15

4+8(1/4+2)

=4+8(9/4)

=4+2*9

=4+18

=22

Learn more about expression here:

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Opposite angles are identical.

11y = 55

Y = 55/11

Y = 5

3z-4 = 110

Add 4 to both sides

3z= 114

Z = 114/3

Z = 38

180 -110 = 70

55 + x = 70

X = 70-55

X =15

X = 15, y = 5, z = 38

Answer:x=15, y=5, z=38

Step-by-step explanation: you know that opposite angles are the same. y=5

add 4 to both sides. and you get the value for x y z.

Answer:

373.66 cm².

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Radius (r) = 7 cm

Slant height (l) = 10 cm

Surface Area (SA) =?

The surface area of the cone can be obtained by using the following formula:

SA = πr² + πrl

SA = (3.14 × 7²) + (3.14 × 7 × 10)

SA = (3.14 × 49) + 219.8

SA = 153.86 + 219.8

SA = 373.66 cm²

Therefore, the surface area of the cone is 373.66 cm².

Answer:

C.      did the assignment

Step-by-step explanation:

edge 2021

Answer:

C. Tetrapod, vertebrae

Step-by-step explanation:

Answer:

42 = 8x + 13x

42 = 21x

x = 2

8 = 8c -4(c + 8)

8 = 8c - 4c - 32

8 = 4c - 32

40 = 4c

c = 10

Answer:

42 = 21x

42/21 = x

x = 2

check:

42 = 8*2 + 13*2

42 = 16 + 26

8 = 8c -4*c -4*8

8 = 8c - 4c - 32

8 + 32 = 4c

40 = 4c

40/4 = c

c = 10

Check:

8 = 8*10 - 4(10+8)

8 = 80 - 4*18

8 = 80 - 72

Answer:

62.8 cubic units

Step-by-step explanation:

Because, The formula of volume of cylinder is Volume = square of radius multiply by its height

The volume of the cylinder round to the nearest tenth is 62.8 cubic inches

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

where

r is the radius of the cylinder

h is the height of the cylinder

Given

radius = 2 units

height = 5 units

Substitute

V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches

Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches

Learn more on volume of cylinder here: https://brainly.com/question/9554871

Answer:

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.

Step-by-step explanation:

Hope it helps please mark me as the brainliest

Answer: [tex]6+\dfrac{14}{p}[/tex] .

Step-by-step explanation:

To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.

Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]

Using distributive property:  [tex](b+c)a= ba+ca[/tex]

[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]

Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .

Answer:

B!!!

Step-by-step explanation:

Multiply then divide every number by 2 to simplify.

Answer:

the bottom

Step-by-step explanation:

Answer: the second one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let y(t) be the amount of salt in the tank after time t.

(A) Incoming rate = 0 (due to Pure water having no salt)

(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.

concentration of salt at time t  = y(t) / 15000 kg/L

Outgoing rate = y(t)/15000 * 150 = y(t) / 100

(C) we know that,

[tex]\frac{dy}{dx} =(incoming\ rate) - (outgoing\ rate)[/tex]

[tex]\frac{dy}{dx} =0-\frac{y(t)}{100} = \frac{-y(t)}{100}[/tex]

Separate variable and integrate

[tex]\int {\frac{dy}{y} } = - \int {\frac{1}{100} } \, dt[/tex]

[tex]ln|y|=-\frac{1}{100}t + D[/tex]

[tex]y=e^{D} e^{\frac{-t}{100} }[/tex]

[tex]y= Ce^{\frac{-t}{100} }\ [C=e^{D} ][/tex]

At t= 0 , y(0) = 24 kg

[tex]24=C\ e^{0}[/tex]

C= 24

(D) Therefore, the amount of salt in the tank after time t :

[tex]y(t)=24e^{\frac{-t}{100} }\ kg[/tex]

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Explanation:

Let point A be the center of the circle.

Arc DCF is 316 degrees. Arc FG is 20 degrees. Subtracting the arc measures gives 316-20 = 296 which is the measure of arc DCG, and by extension, it is the measure of reflex angle DAG. The acute angle DAG is 360-296 = 64 degrees

Triangle DAG is isosceles with AD = AG, so the base angles are ADG and AGD. Let's call each of these angles x for now. The sum of the three angles add to 180

x+x+64 = 180

2x+64 = 180

2x = 180-64

2x = 116

x = 116/2

x = 58

Therefore angle ADG is 58 degrees. It adds to angle ADB = 90 to get 90+58 = 148, which is the measure of angle BDG.

Note: angle ADB is 90 because tangent BD forms a right angle with the radius AD.

Another note: angle ADG is half that of the arc it cuts off, so in a sense it's similar to an inscribed angle

Answer:

Reflection

Step-by-step explanation:

A reflection is a mirrored image of a shape.  Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.

Cheers.

Answer: 1/2 is correct.

Step-by-step explanation:

There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.

Hope this helps!

Answer:

The answer is A

Step-by-step explanation:

because there are 4 shaded parts and 8 parts in total.

4/8=1/2

It's A

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1-2}{3-0}[/tex] = - [tex]\frac{1}{3}[/tex]

Answer:

84%

Step-by-step explanation:

percentage of score in English=18/25*100

=72%.

72+p/2=78

72+p=156

p=84%

Mark me BRAINLIEST if helped

Tysm!

Answer:

40.

Step-by-step explanation:

Let J represent jelly snake.

Let L represent lollipops

Let S represent sample space

Let y represent the number of jelly snake in the bag. I.e

Number of J = y

Number of L = 10

Number of S = 10 + y

From the question given, we were told that the probability of jelly snake P(J) is 4/5.

But probability of jelly snake, P(J) is given by:

P(J) = nJ/nS

nJ = y

nS = 10 + y

P(J) = 4/5

Thu, we can obtain the number jelly snake, y, in the bag as follow:

P(J) = nJ/nS

4/5 = y/(10 + y)

Cross multiply

5y = 4(10 + y)

Clear bracket

5y = 40 + 4y

Collect like terms

5y – 4y = 40

y = 40

Therefore, the number of jelly snake in the bag is 40

Answer:

C. 6n - 5

Step-by-step explanation:

Hello!

A product of a number and 6 means we have to multiply a number by 6.

This can be shown by 6n.

Then 5 less means we subtract by 5.

We get the answer: 6n - 5

Hope this Helps!

Answer:

B) 6(n-5)

Step-by-step explanation:

Mark as Brainliest

Answer:

2 1/2 hours

Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours  so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half

Answer:

a) b⁹

Step-by-step explanation:

b³ • b⁻⁵ • b¹¹

add the exponents

b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹

b⁹

Answer:

b^9

Step-by-step explanation:

b^3·b^−5·b^11

Since the bases are the same, and we are multiplying, we can add the exponents

b^(3+-5+11)

b^9

A.

A - selecting a milk chocolate

[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]

B.

The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.

EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

Answer:

star or asterisk if you are talking about (*)

Answer:

(*) is similar to (×)

and it means multiply

Answer:

Step-by-step explanation:

(-8+2)/(9-4)= -6/5

y + 2 = -6/5(x - 4)

y + 10/5 = -6/5x + 24/5

y = -6/5x + 14/5

Answer:

(0,4)

Step-by-step explanation:

System of Equations:

[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]

x= y-4 .... Change format so you can substitute to first equation

12(y-4)-5y=-20 .... Plug in x= y-4  to first equation

12y - 48 -5y = -20 ..... Distributed

7y -48 =-20 .... Added like terms

7y=28 .... Added 48 to both sides

y=4

.... Plug y into the second equation to find x

x + 4=y

x +4 = 4 .... Plugged in y

x = 4-4 .... Subtracted 4 from both sides

x=0

Your answer is (0,4)

Hope this helps:)

Answer:

The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

x(0)+7

=0+7

Combine Like Terms:

=0+7

=(0+7)

=7

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

x · 0 = 0

0 + 7 = 7

y = 7

Answer:

7/8

Step-by-step explanation:

63 ÷ 9/72 ÷ 9

= 7/8

Answer:

7/8

Step-by-step explanation:

63/9 = 7

72/9 = 8

then:

63/72 = 7/8

Answer:

The answer is 17.

Step-by-step explanation:

200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.

Answer:

16

Step-by-step explanation:

the lcm for 3 and 4 is 12

200 ÷ 12 = 16.667

≈16