find the value of x from the equation

Find The Value Of X From The Equation

Answers

Answer 1

[tex]

\dfrac{8^{3x}}{2^{10}}=\dfrac{4^{2x}}{16} \\

\dfrac{2^{3(3x)}}{2^{10}}=\dfrac{4^{2x}}{4^2} \\

2^{9x-10}=4^{2x-2} \\

2^{9x-10}=2^{2(2x-2)} \\

2^{9x-10}=2^{4x-4} \\

9x-10=4x-4 \\

5x-6=0 \\

5x=6 \\

\boxed{x=\dfrac{6}{5}}

[/tex]

Hope this helps.

r3t40


Related Questions

What is 131 rounded by the nearest tenth?

Answers

Hello There!

131 rounded to the nearest 10 or

the tens place is 30

It is 130.

Rounding down because it is lower than 5.

Hope this helps! The

PLEASE HELP ME !!!! 10PTS

Answers

The description is very simple: Incorrectly solved.

More specifically at step 2 the subtraction of 3.8 should have been on both sides.

[tex]

x+3.8=2.3 \\

x+3.8-3.8=2.3-3.8 \\

\boxed{x=-1.5}

[/tex]

Hope this helps.

r3t40

Answer:

He or she did not properly use the subtraction property of equality. On the right side in the second step of the equation, he or she added 3.8. The correct method to solve for x is by subtracting 3.8 on both sides. Therefore, the answer should be x = -1.5 because 2.3 - 3.8 = -1.5.

What is the value of sinY?

Answers

Answer:

sinY = [tex]\frac{6}{\sqrt{61} }[/tex]

Step-by-step explanation:

sinY = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ZX}{YX}[/tex] = [tex]\frac{6}{\sqrt{61} }[/tex]

What is the solution set of the quadratic inequality x2- 5<0?
O {xl-55x55
{x- 155x55)
{xl -55x5 15)
{x1 - 15 sx5/5)​

Answers

Answer:

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Step-by-step explanation:

We must solve the following inequality

[tex]x^2- 5<0[/tex]

factor the expression

[tex](x-\sqrt{5})(x+\sqrt{5})<0[/tex]

Case 1

[tex](x-\sqrt{5}) < 0[/tex] →  [tex]x < \sqrt{5}[/tex]

[tex](x+\sqrt{5}) >0[/tex]  → [tex]x > -\sqrt{5}[/tex]

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Case 2

[tex](x-\sqrt{5}) > 0[/tex] →  [tex]x > \sqrt{5}[/tex]

[tex](x+\sqrt{5}) <0[/tex]  → [tex]x < -\sqrt{5}[/tex]

Without solution

The set  solution is {[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Final answer:

The solution set of the quadratic inequality x^2 - 5 < 0 is {x | -√5 < x < √5}, representing all x-values between -√5 and √5.

Explanation:

The quadratic inequality in question is x² - 5 < 0. To find the solution set, follow these steps:

Add 5 to both sides of the inequality to get x² < 5.Take the square root of both sides, keeping in mind we need to consider both the positive and negative roots, which lead to x < √5 and x > -√5.The solution set includes all x values between -√5 and √5, which can be written as {x | -√5 < x < √5}.

Graphically, this represents the x-values for which the curve of y = x² is below the line y = 5.

Verizon charges $18.75 per month for phone service and $0.08 per minute. Last month my bill was 33.63. How many minutes did I use?

Answers

Answer:

186 minutes.

Step-by-step explanation:

33.63 to start.

take away the service fee of 18.75

14.88

divide 14.88 by 0.08

186

Answer:

Step-by-step explanation:

$33.63-$18.75= $14.88

$14.88/.08=186

You used 186 minutes last month,

Determine the value of impulse from this graph of momentum vs time

Answers

Answer:

try 12 Newton seconds

Step-by-step explanation:

I think it's going to be 12 because if you find the slope of the first line you get 1 Newton and the slope of the second line is -1 Newton's. so that means there is a change of -2 newtons. so if you multiply -2 Newton's by the 6 seconds you -12 Newton seconds. let me know if this is correct as it's been a while since I've done this type of stuff.

Answer:

The value of impulse is 9 N-s.

Step-by-step explanation:

The momentum vs time graph shows the impulse

Impulse :

Impulse is the product of force and time.

In mathematical terms,

[tex]I= F\Delta t[/tex]

Where, F = force

t = time

According to graph,

Impulse[tex]I = F\cdot t[/tex]=total area

[tex]I=\dfrac{1}{2}\times3\times6[/tex]

[tex]I=9\ N-s[/tex]

Hence, The value of impulse is 9 N-s.

The point-slope form of a lone has a slope of -w and passes through point (-5,2) is shown below.
y+2=-2(x-5)
What is the equation in slope intercept form?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

The point-slope form of an equationo f a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have

[tex]y+2=-2(x-5)\\\\y-(-2)=-2(x-5)[/tex]

Therefore we have

the slope: m = -2

the point: (5, -2) not (-5, 2)!!!

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Convert:

[tex]y+2=-2(x-5)[/tex]           use the distributive property a(b + c) = ab + ac

[tex]y+2=-2x+10[/tex]         subtract 2 from both sides

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

whatis 11 -2+8 divied by 6

Answers

Answer:

31 over 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Without parentheses, you have 11 - 2 (which is 9) plus 8 (totalling 17).

Then you have 17/6.

That's "divided."

How do you use parallel and perpendicular lines to solve real-world problems?

Answers

If you work construction it’s in blue print salon with different angles on where you would cut wood or weld metal together.

Answer:

In engineering, construction, and technical fields

Step-by-step explanation:

The use of parallel lines has many wide applications

For example, the parallel lines are important in science in preventing parallax errors in measuring, say the meniscus of the water in a glass.

Another use is in construction. The use of the plumb line shows if the object being built is straight or not. The principle is that the force of the pull acts downwards. Another example is the spirit lever. This can be used by builders to check if the surface is even or not.

In engineering, the properties are important in building bridges and other high-tension structures.

Solve this equation: n-(-8) = 15
n =

Answers

n - ( -8 ) = 15

n + 8 = 15

n = 15 - 8

n = 7

The answer is:

n = 7

Please someone help me

Answers

Answer:

Basically it means to do Keep, Change, Flip. that's a better way to remember "reciprocal". keep the 5, change the ÷ to a × and flip the fraction 2/9 to a 9/2.

After doing that, you'll get the the first answer. 5/1 × 9/2 = 45/2

Answer: First option.

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{2}{9}[/tex] is:

 [tex]\frac{9}{2}[/tex]

Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{2}{9}[/tex]  by multiplying [tex]\frac{5}{1}[/tex] by [tex]\frac{9}{2}[/tex]:

[tex]5[/tex]÷[tex]\frac{2}{9}=\frac{5}{1}*\frac{9}{2}=\frac{45}{2}[/tex]

In the equation sqrt(n+5)-sqrt(11-10)=1. what is the value of n​

Answers

[tex]\sqrt{n+5}-\sqrt{11-10}=1\\\sqrt{n+5}-1=1\\\sqrt{n+5}=2\\n+5=4\\n=-1[/tex]

how to us the foil method for x2 + 16x + 48

Answers

F irst

O uters

I nners

L ast

We first need to expand the equation By finding what adds up to 16 and multiples to 48

X^2 + 16x + 48 = x^2 + 12x + 4x + 48.

According to the foil method

(a + b)(c + d) = ac + ad + bc + bd

ac = x^2

ad = 12x

bc = 4x

bd = 48.

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?

Answers

Let [tex]x[/tex] be the length of a cat's stride, and [tex]y[/tex] their stride per time unit ratio.

So, in a time unit, the cat will cover a distance of [tex]xy[/tex]

Dogs strides are 30% longer, do a dog's stride is

[tex]\dfrac{130}{100}x = \dfrac{13x}{10}[/tex]

But its stride per time unit is 30% less:

[tex]\dfrac{70}{100}y = \dfrac{7y}{10}[/tex]

So, in a unit of time, the dog will cover a distance of

[tex]\dfrac{13x}{10}\dfrac{7y}{10} = \dfrac{91}{100}xy[/tex]

So, in the same amount of time, the dog covers 91% of the distance of the cat.

Assuming the strides take the same amount of time, the dog wins.

1.30 · 0.70 = 0.91

Which of the following expressions simplifies to a negative number? Select all that apply.
(-1)(-1)(-1)
(-1)(-1)
(-1)(-1)(-1)(-1)
(-1)(-1)(-1)(-1)(-1)
NEXT QUESTION
©
ASK FOR HELP

Answers

Answer:

(-1)(-1)(-1)

(-1)(-1)(-1)(-1)(-1)

These, since they are all negatives and there are an odd number of terms.

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

in a solution the substance dissolved in the liquid is called the

Answers

Solution or soluble

Hope this helps!

Help please :( ASAP don’t do wrong answers

Answers

Answer:

D. 140

Step-by-step explanation:

volume equals length times width times height 7 times 4 times 5 equals 140 good luck

at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket cost?

Answers

Each ticket cost $3

8+5x=23

5x=15

x=3

Answer: 26 dollars

Step-by-step explanation:

8-5=3

23+3=26

which of these characteristics do a rhombus and a rectangle always have in common?

A. all angles are right angles

B. opposite sides with equal length

C. all sides with equal lenght ​

Answers

The characteristics a rhombus and a rectangle always have in common is opposite sides with equal length.

The right option is B. opposite sides with equal length

From the question,

We are to determine which of the given characteristics do a rhombus and a rectangle always have in common.

To determine which of the characteristics, we will list some of the characteristics of the two shapes

Characteristics of a Rhombus

All sides are of equal length Opposite sides are parallelOpposite angles are congruent Diagonals intersect perpendicularly Consecutive angles are supplementary

Characteristics of a Rectangle

Opposite sides are congruent and parallel Diagonals bisect each other Each of the interior angles is a right angleDiagonals are congruent

Now, from above,

We have that all the sides of rhombus are equal in length, which makes the opposite sides to be equal as well.

Also, among the characteristics of a rectangle is that, opposite sides are equal in length

Hence, the characteristics a rhombus and a rectangle always have in common is opposite sides with equal length. The right option is B. opposite sides with equal length

Learn more here: https://brainly.com/question/16979502

The option B is correct. A rhombus and a rectangle always have opposite sides with equal length in common. This is a defining property of all parallelograms.

In geometry, both a rhombus and a rectangle are types of parallelograms. To determine what characteristics they have in common, we must identify their properties. A rhombus has all sides of equal length, but its angles are not necessarily right angles. In contrast, a rectangle has all angles as right angles, but its sides are not necessarily of equal length. Therefore, the characteristic that both a rhombus and a rectangle always have in common is:

Opposite sides with equal length (Option B)

This means that in both a rhombus and a rectangle, the opposite sides are parallel and equal in length, which is a defining property of all parallelograms.

The sum of two polynomials is 10a2b2 – 8a2b + 6ab2 – 4ab + 2. If one addend is –5a2b2 + 12a2b – 5, what is the other addend?

15a2b2 – 20a2b + 6ab2 – 4ab + 7
5a2b2 – 20a2b2 + 7
5a2b2 + 4a2b2 + 6ab – 4ab – 3
–15a2b2 + 20a2b2 – 6ab + 4ab – 7

Answers

Answer:

[tex]15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]

Step-by-step explanation:

The sum of two polynomials is

[tex]10a^2b^2-8a^2b+6ab^2-4ab+2[/tex]

First addend is

[tex]-5a^2b^2+12a^2b-5[/tex]

Second addend x.

Hence,

[tex]x+(-5a^2b^2+12a^2b-5)=10a^2b^2-8a^2b+6ab^2-4ab+2\\ \\x=10a^2b^2-8a^2b+6ab^2-4ab+2-(-5a^2b^2+12a^2b-5)=\\ \\=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5=\\ \\=(10a^2b^2+5a^2b^2)+(-8a^2b-12a^2b)+6ab^2-4ab+(2+5)=\\ \\=15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]

Answer:  The correct option is (A) [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Step-by-step explanation:  Given that the sum of two polynomials is [tex](10a^2b^2-8a^2b+6ab^2-4ab+2)[/tex] and one addend is [tex](-5a^2b^2+12a^2b-5).[/tex]

We are to find the other addend.

Let P(x) be the other addend.

Then, according to the given information, we must have

[tex]-5a^2b^2+12a^2b-5+P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2\\\\\Rightarrow P(x)=(10a^2b^2-8a^2b+6ab^2-4ab+2)-(-5a^2b^2+12a^2b-5)\\\\\Rightarrow P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5\\\\\Rightarrow P(x)=15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Thus, the other addend is [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Option (A) is CORRECT.

Excess cash on hand may be a problem for a problem for a company because it may miss an opportunity to___.

A. Buy more inventory

B. Invest

C. Sell equipment

D. Lend money

Answers

Answer:

Excess cash on hand may be a problem for a problem for a company because it may miss an opportunity to:  B) Invest

3 pipes take 60 minutes to water the field. How much time will it take to water the field with 6 pipes? Is this direct proportion or inverse proportion and why? Full working out and equation please.​

Answers

Answer:

30 minutes.

Step-by-step explanation:

The more pipes you have the less time it takes to water the field.

This is inverse proportion.

t  varies as 1 / p

t = k/p

Inserting the given values:

60 = k/3

so k = 180.

and the equation of variation is

t = 180 / p.

When the number of pipes = 6 the time

= t = 180 /6

= 30 minutes.

what relation describes the graph?

Answers

Answer:

C

Step-by-step explanation:

They are written in (x,y) coordinates. so (0,2 1/2) is the dot on the y axis located at 2 1/2 and is directly on the line as x is 0 and y is 2 1/2.

(-1/2,0) coordinate will be on the left of the origin (the centre of the graph a.k.a 0,0) as the x is negative. the y is 0 so it will be on the x axis.

Just remember, if x is negative then the dot moves to the left, if it is positive then to the right. If y is positive then it will move upwards. If it is negative then it will move downwards. Therefore, the x coordinate controls right and left, the y coordinate controls up and down. If it is 0 then it will not move and just stay on that axis.

If 3p-q=6 and 2p+3q=4 find q

Answers

Answer:

It is -24/11

Step-by-step explanation:

This is a system of equations. Using substitution should give the answer.

Taking the first equation, q = 3p - 6. Plug this into the second equation.

2p + 3(3p - 6) = 4. Distributing gives 2p+ 9p - 18 = 4. Subtract 4 from both sides to give: 11p - 14 = 0. p = 14/11

Plug this back into the first equation.

42/11 - q = 6

q = 42/11 - 6, which equals -24/11

Hope this helps!

Answer:

Correct Answer: Option A

Explanation

3p - q = 6 ........ 1

2p + 3q = 4 ....... 2

Multiply eqn 1 by 3

9p - 3q = 18 ........ 3

2p - 3q = 4 ......... 2

Add eqn3 and eqn2

11p = 22 => p = 22/11 = 2

Substitute for p =2 in eqn1

3p - q = 6

3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6  

q = 0

Step-by-step explanation:

when 2(3/5x+2 3/4y-1/4x-1 1/2y+3) is simplified, what is the resulting expression?
A. 1 7/10x+2 1/2y+6
B. 7/10x+2 1/2y+6
C. 7/10x+8 1/2y+6
D. 1 7/10x+4 1/4y+3

Answers

Answer:

Option B is correct.

Step-by-step explanation:

[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)[/tex]

We need to solve the above expression.

First Convert Mix fraction into improper fraction

[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)[/tex]

Combining the like terms

[tex]=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)[/tex]

Solving like terms

[tex]=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)[/tex]

Multiply each term with 2

[tex]=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6[/tex]

[tex]=\frac{7x}{10}+ 2\frac{1}{2}y+6[/tex]

So, Option B is correct.

Answer:

"B"

Step-by-step explanation:

PLEASE HELP ME . how can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?

Answers

Step-by-step explanation:

From the Pythagorean theorem we have:

[tex]a^2+b^2=c^2[/tex]           subtract b² from both sides

[tex]a^2=c^2-b^2\to a=\sqrt{c^2-b^2}[/tex]

Same:

[tex]b=\sqrt{c^2-a^2}[/tex]

which expression is equivalent to the radical expression shown below when it is simplified?
[tex] \sqrt{ \frac{3}{64} } [/tex]

Answers

Answer:

[tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]

Step-by-step explanation:

We need to solve the expression

[tex]\sqrt{\frac{3}{64} }[/tex]

We know that [tex]\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}[/tex]

and 64 = 8*8

Solving we get

[tex]=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}[/tex]

So [tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]

Final answer:

To simplify the given radical expression √3/64, first express the fraction as a power of a fraction. Apply the power rule of radicals and simplify the expression.

Explanation:

To simplify the given radical expression √3/64, we first express the fraction under the radical sign as a power of a fraction. 3/64 can be written as 3/(26). Next, we can apply the power rule of radicals, which states that √(a/b) = √a/√b. Applying this rule, we can rewrite the radical expression as √3/(26). Finally, we can simplify the expression by evaluating the square root of 3 and 26. The simplified expression is √3/23 or 3/(23).

Learn more about Simplifying Radical Expressions here:

https://brainly.com/question/11624221

#SPJ3

Which of the following is a monomial? A. 2x − yz B. 2 + xyz C. 2xyz2 D. 2x + yz

Answers

I think the answer is D

For this case we have by definition that a monomial is the product of a known number (called coefficient) by one or several unknown values, represented by letters (literal part or variables).

If there were a sum or subtraction, it would be a binomial.

Examples of monomial:

[tex]5x ^ 7 * y ^ 2[/tex]

Then, according to the above, the correct option is option C.

Answer:

Option C

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).

Answers

Answer:

-2x^2-8x+12 if you meant the second function to be g(x)=5x^2+6x-8

If you didn't mean that please let me know in the comments so I can change my answer

Step-by-step explanation:

f-g=

 3x^2-2x+4

-(5x^2+6x-8)

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

-2x^2-8x+12

when you start from a given set of rules and conditions and determine what must be true, you are using__ reasoning.

Answers

Answer:

deductive

Step-by-step explanation:

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