Solve for x in the literal equation −5 = xy + z.

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

t = n × t½

t = 2.61 × 10

t = 26.1 mins

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Answer:

Total number of marbles in the bag = 8+11?=19

Number of green marbles = 8

Number of blue marbles = 11

Probability of choosing a green marble randomly = 8/19

Step-by-step explanation:

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The simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.

First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:

[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])

Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:

-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])

Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]

Therefore, the simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

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Answer:

okay so we need to solve for x.

--

FIRST STEP:  12x^2+5x-4=12^2x+6 would turn into x2 + 5x - 4 = 2x + 6 so it'd have equal bases.

SECOND STEP: move any number with "x" in it to the left side. it ends up as  x2 + 3x - 4 = 6

THEN, we use the AC method to eliminate any unnecessary numbers.

you should end up with ( x - 2) (x + 5) = 0

SO, the answer is your third option. ( x = 2, x = -5)

Step-by-step explanation:

Answer:

x = 2, x = -5

Step-by-step explanation:

[tex] {12}^{ {x}^{2} + 5x - 4 } = {12}^{2x + 6} \\ (Bases\: are\: equal\: so\: exponents\: \\will\:also\:be \: equal) \\ \implies \: {x}^{2} + 5x - 4 = 2x + 6 \\ \\ \implies \: {x}^{2} + 5x - 4 - 2x - 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 4- 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 10 = 0\\ \\ \implies \:x(x + 5) - 2(x + 5) = 0\\ \\ \implies \:(x + 5)(x - 2) = 0 \\ \\ \implies \:x + 5 = 0 \: \: or \: \: x - 2 = 0 \\ \\ \implies \:x = - 5 \: \: or \: \: x = 2[/tex]

The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

Area is the amount of space taken up by a plane shape.

To find an expression for the area of the entire photograph and the frame combined, we use the formula below.

Formula:

Where:

From the question,

Substitute these values into equation 1

Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

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The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

4t + 6 ≤ 10

Simplify the inequality, then we have

4t + 6 ≤ 10

4t ≤ 10 - 6

4t ≤ 4

t ≤ 4 / 4

t ≤ 1

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

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Answer:

add 3 to 2, then divide the multiple of 3 since it's the largest number. if there are no multiples, split it into a decimal.

3+2:': 1.5%ex ---- you ate 1 piece of chewing gum.

Step-by-step explanation:

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Answer:

x=6

Step-by-step explanation:

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let consider the given triangle be ABC

Here, It is given in the question that ,

By using Angle sum property

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

Answer:

B (-7,9)

Step-by-step explanation:

Reflecting over y-axis changes sign of the x-coordinate

in this case, the original coordinate of B is (7,9)

thus, the translated coordinate of B  would be (-7,9)

Answer:

[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]

Thank you ☺️

The equivalent expression for the given expression from the question is  [tex]12^{18}[/tex]

[tex]= 12^18[/tex]

Therefore, the equivalent expression is [tex]12^{18}[/tex]

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Answer:

40°

Step-by-step explanation:

[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]

Angles inscribed in the same arc are equal in measure.

[tex]\implies m\angle UWV =m\angle UTV [/tex]

[tex]\implies 19x +21\degree =10x +30\degree [/tex]

[tex]\implies 19x -10x =30\degree-21\degree [/tex]

[tex]\implies 9x =9\degree [/tex]

[tex]\implies x =\frac{9\degree}{9} [/tex]

[tex]\implies x = 1\degree [/tex]

[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]

[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]

[tex]\implies 19x +21\degree= 40\degree[/tex]

[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]

Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

Step-by-step explanation:

2x + 2x + 2 = 4x + 2           combine like terms

4x + 2 = 4x + 2          subtract 4x from both sides

4x - 4x + 2 = 4x - 4x + 2

2 = 2   TRUE

Answer:

-5

Step-by-step explanation:

Because this equation is in standard form you can do -A/B which is the first two numbers of the equation,  and since -A=5 and B=y(1) then i just did -5/1 and i got -5

Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

Answer:

45 9/14

That's how you would write it.

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A 9.5 feet pole casts a shadow that is 29 feet long.

Perpendicular = 9.5 feet

Base = 29 feet

The angle is given by the tangent. The tangent is given as

[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]

Then we have

[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

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Answer:

A on Edge

Aka 0.32 rad

Step-by-step explanation:

Next one is:

Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

The equation is   [tex]c-13=-2[/tex]

The solved equation is 11

First, we must add 13 on both sides

[tex]c=11[/tex]

The answer to the equation is  [tex]c=11[/tex]

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

140 inches

Step-by-step explanation:

21 is 15% of 140.

Answer: 10

Step-by-step explanation: 15+10=25

The statement 15 plus a number equals 25 is equals to 10.

We are given that;

The statement

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the number, we can use the following steps:

Write the equation using a variable for the unknown number: 15 + x = 25

Subtract 15 from both sides: 15 + x - 15 = 25 - 15

Simplify: x = 10

Therefore, by algebra the answer will be 10.

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Answer:234000000000

Step-by-step explanation:

Answer:

We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.

The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.

In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.

On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.

From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.

Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.  

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Answer: A 110 and 109

Step-by-step explanation:

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

Answer:

the answer is 124 degrees my friend