Solve for x: 2^5x+1 = 8^x+4

Answers

Answer 1

The solution of the equation [tex]2^{(5x+1) = 8^{(x+4)[/tex], for x is x = -2.

To solve the equation [tex]2^{(5x+1) = 8^{(x+4)[/tex], we can simplify it by using the properties of exponents. Since 8 is equal to 2^3, we can rewrite the equation as 2^(5x+1) = (2^3)^(x+4), which simplifies to 2^(5x+1) = 2^(3(x+4)).

Now, we can set the exponents equal to each other: 5x + 1 = 3(x + 4).

Simplifying further, we distribute the 3 on the right side: 5x + 1 = 3x + 12.

Next, we isolate the variable x by subtracting 3x from both sides: 2x + 1 = 12.

Finally, subtracting 1 from both sides gives us 2x = 11, and dividing by 2 yields x = 11/2 = -2.

Therefore, the solution for x is x = -2.

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Related Questions

in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O​

Answers

Answer:

D

Step-by-step explanation:

lol this is a weird math question

jk

Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.

A turtle can walk 12 miles in 3 miles. What is the average speed of the turtle?

Answers

Answer:

4mph

Step-by-step explanation:

4 now can you please help me with my history work

Pleaser help me I’m confused

Answers:

A:section A

B: section B

C: Section C

D: Section D

Answers

Answer:

SECTION C (i think)

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

section c

it's square root is 4.123......

Helpppppppp pleaseeeeee I will give brainliest if you knowww pleaseeee helpppppppp

Answers

Answer:

I think the answer is 1/2 but dont take my word

I don’t know lol sorry

A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?

Answers

Answer:

Perimeter of pizza slice = 27.85 inches (Approx.)

Step-by-step explanation:

Given:

Diameter of pizza = 20 inches

So,

Radius of pizza slice = Diameter of pizza / 2

Radius of pizza slice = 20 / 2 = 10 inches

∠IPZ = 45°

Find:

Perimeter of pizza slice

Computation:

Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]

Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]

Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]

Perimeter of pizza slice = 20 + [0.125][62.8]

Perimeter of pizza slice = 20 + 7.85

Perimeter of pizza slice = 27.85 inches (Approx.)

The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we're given that:

Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inches

Not using the above formula, but the concept, we know that:

360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).

Since diameter of pizza = 20 inches, its radius r = 10 inches.

Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]

Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP

Since line IP and ZP are radius, thus:

Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.

Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

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Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin. ​

Answers

Answer:

5! HOPE I HELPED

Step-by-step explanation:

Help help help help help help

Answers

Answer: 19 mins

Step-by-step explanation:

hope this helps

21. Your local grocery store stocks rolls of bathroom tissue in single packages and in more economical 12-packs. You are trying to decide which to buy. The single package costs 45 cents and the 12-pack costs $5. You consume bathroom tissue at a fairly steady rate of one roll every three months. Your opportunity cost of money is computed assuming an interest rate of 25 percent and a fixed cost of $1 for the additional time it takes you to buy bathroom tissue when you go shopping. (We are assuming that you shop often enough so that you don't require a special trip when you run out.) a. How many single rolls should you be buying in order to minimize the annual holding and setup costs of purchasing bathroom tissue? b. Determine if it is more economical to purchase the bathroom tissue in 12-packs.

Answers

To minimize the annual holding and setup costs of purchasing bathroom tissue, you should buy single rolls of bathroom tissue. Purchasing the bathroom tissue in 12-packs is not more economical in this scenario.

To determine the optimal choice between buying single rolls and 12-packs of bathroom tissue, we need to consider the annual holding and setup costs.

a. To minimize the annual holding and setup costs, we need to compare the costs of buying single rolls versus 12-packs.

For single rolls:

Cost per roll = $0.45

Holding cost per roll per year = opportunity cost of money * cost per roll = 0.25 * $0.45 = $0.1125

Setup cost per purchase = $1

Consumption rate = 1 roll every 3 months = 4 rolls per year

For 12-packs:

Cost per pack = $5

Number of rolls in a 12-pack = 12

Holding cost per roll per year = 0.25 * ($5 / 12) = $0.1042

Setup cost per purchase = $1

To minimize the annual holding and setup costs, we need to compare the costs of purchasing the required number of single rolls and the cost of purchasing 12-packs.

b. Comparing the costs, it is more economical to purchase single rolls because the holding cost per roll per year is lower for single rolls ($0.1125) compared to 12-packs ($0.1042). Additionally, the setup cost is the same for both options ($1).

Therefore, to minimize the annual holding and setup costs, you should buy single rolls of bathroom tissue rather than 12-packs.

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Can someone please help me no links please

Answers

Answer:

x=6

Step-by-step explanation:

3x- 4=14

   +4 +4

    3x=18

      x=6

HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:

Answers

Answer:

B

Step-by-step explanation:

I did it on khan academy

natalie has 45 pieces of candy to share with her and her 4 other friends. how many pieces of candy will natalie and all of her friends get?

Answers

Answer:

They will each get 9 pieces of candy.

Step-by-step explanation:

if she has 4 friends and she shares with them, she would be sharing  with 4 people plus herself, so you would do the problem 45 ÷ 5 = 9.

A rancher in Central Califomia has a year-long BLM grazing allotment in the Oak Woodlands that is 5,000 acres in size. Seventy percent of this allotment has loam soils and produces 900 lbs. (DM) of forage per year and the remaining 30% has sandy loam soil and produces 500 lbs. of forage (DM) per year. The allotment is split into large pastures enabling rotational grazing to take place and allowing the producer to practice the "take half, leave half philosophy of grazing. As part of his agreement with BLM, the rancher must account for 30 head of elk (500 lbs.). With the remaining forage, determine how many mature 200 lb. ewes the rancher could run on this allotment.

Answers

The rancher can run approximately 19,425 mature 200 lb. ewes. To calculate the number of mature 200 lb. ewes the rancher can run on the remaining forage, we need to find the available forage after accounting for the 30 head of elk.

A rancher in Central California has a 5,000-acre BLM grazing allotment in the Oak Woodlands. Seventy percent of the allotment has loam soils producing 900 lbs. (DM) of forage per year, while the remaining 30% with sandy loam soil produces 500 lbs. of forage (DM) per year. The rancher must also account for 30 head of elk (500 lbs.). We need to determine how many mature 200 lb. ewes can be run on the remaining forage.

The total forage available from the loam soil is 70% of 5,000 acres, which is 3,500 acres. This amounts to 3,500 acres * 900 lbs./acre = 3,150,000 lbs. of forage (DM) per year.

Similarly, the total forage available from the sandy loam soil is 30% of 5,000 acres, which is 1,500 acres. This amounts to 1,500 acres * 500 lbs./acre = 750,000 lbs. of forage (DM) per year.

With the elk accounting for 30 * 500 lbs. = 15,000 lbs. of forage, the remaining available forage is 3,150,000 lbs. + 750,000 lbs. - 15,000 lbs. = 3,885,000 lbs.

Dividing the remaining forage by the weight of a mature ewe (200 lbs.), we get 3,885,000 lbs. / 200 lbs. = 19,425 ewes. Therefore, the rancher can run approximately 19,425 mature 200 lb. ewes on this allotment, considering the given forage production and the presence of elk.

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Valerie wants to use a PIN to make her purchase more secure. Which method of payment can Valerie use? Credit card , cash, check, or debit card? Question 2: Mr. Juniper uses his debit card to withdraw $10 cash from checking account for football ticket. Which is an advantage of using the debit card? Answers: mr. juniper does not have to remember a number In order to access his checking account, mr juniper debit card can never be lost or stolen, mr juniper will earn rewards such as free hotel stays.
Mr juniper cash will be taken directly from his checking account.
PLS HELP :D I’m low on points but can u help?

Answers

Answer: Question 1, debit card because debit cards are used for atms which requires a pin. A positive is that you’re using your own money for a debit card and not from another source, so you don’t have to pay extra frees

Step-by-step explanation:

find the missing side z​

Answers

Answer:

Z=[tex]7\sqrt{2}[/tex] m

Step-by-step explanation:

This is a 45º-45º-90º triangle. That means the side lengths are x, x, and [tex]x\sqrt{2}[/tex].

In this case 14 m is equal to [tex]x\sqrt{2}[/tex]. Now solve for X, which is equal to Z.

The rest of the work is written down in the file attached

Don't forget the units though!

hope I could help

please help find measure of h.Will mark brainlyist to right answer.No link!

Answers

Answer:

∠ H = 59°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

6x - 1 + 5x + 12 = 121 , that is

11x + 11 = 121 ( subtract 11 from both sides )

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°

the square root of 279 lies between what two whole nunbers

Answers

Answer:

Step-by-step explanation:

The square root of 16 and the square root of 17

Answer:

29 and 34

Step-by-step explanation:

cause

I need help finding the Diagonals.

Answers

Answer:

OE=53 and UH = 53

Step-by-step explanation:

Pythagoras theorem

3. In chemistry, Isaac can mix the correct solution in 20 minutes. Together,
Isaac and Newton can mix the same solution in 11 minutes. How long
does it take Newton to mix the solution when he is working alone

Answers

I think the answer would be 9 but i’m not sure.

write the equation of the circle graph below?????

Answers

Answer:

(x+2)^2 + (y+2)^2 = 0.75^2

Step-by-step explanation:

equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2

center: (-2, -2)

radius: 0.75

equation of the circle in provided graph: (x+2)^2 + (y+2)^2 = 0.75^2

Emily's younger brother, Kenny, begged her to make him a superhero costume for Halloween this year, so of course Emily did! Emily sewed a 600-square-inch trapezoid-shaped cape with a big "K" on it. The length along the top of the cape was 24 inches, and the length along the bottom was 36 inches what is the height

Answers

Answer:

20 inches

Step-by-step explanation:

Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by

A =1/2(a + b)h where a = length along the top of the cape = 24 in, b =  length along the bottom of the cape = 36 in and h = height of the cape

So, h = 2A/(a + b)

= 2 × 600 in²/(24 in + 36 in)

= 1200 in²/60 in

= 20 in

So, the height of the cape is 20 inches

student simplifies (6b + 4r) – (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression.

Answers

Answer & explanation:

The student made an error by adding an r after removing the parentheses instead of subtracting an r.

Correct Steps:

(6b + 4r) – (2b + r)

6b + 4r - 2b - r

4b + 3r

Answer:

yo

Step-by-step explanation:

this was the sample response on edge

The student did not distribute the negative when subtracting. Distributing the negative, the expression is equal to 6b + 4r – 2b – r. Then use the commutative property to rewrite it as 6b – 2b + 4r – r. Then you can use the distributive property to write as (6 – 2)b + (4 – 1)r, which simplifies to 4b + 3r.

2. please help me i will give brainliest if ur right

Answers

Answer:

Is this high school math or middle school?.

Step-by-step explanation:

a²+b² = c²

8²+2²

↓    ↓

64+4

   ↓

square root 68 and it should give you 8.24 and then you round.

please help i cannot figure this out

Answers

What she said

Hope that helps

Find the area of the circle. Round your answer to the nearest whole number, if necessary.
The circle is 20 in fully 10 half


area: about
in.2

Answers

Answer:

if you round of. 20 the answer is 10

You make annual deposits of $8,500 into a savings account that pays an annual interest rate of 3.8%, with interest credited to the account annually. If you now have $461, 103.46 in the account, for how many years have you been investing money in this account?

Answers

You have been investing money in this account for approximately 15 years.

How long have you been investing money?

To determine the number of years you have been investing money in the account, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)ⁿ- 1] / r

Where:

FV = Future value (final balance in the account) = $461,103.46

P = Annual deposit amount = $8,500

r = Annual interest rate = 3.8% or 0.038 (expressed as a decimal)

n = Number of years

By substituting the given values into the formula and solving for n, we can determine the number of years you have been investing:

$461,103.46 = $8,500 * [(1 + 0.038) ⁿ- 1] / 0.038

54.24 = (1.038 ⁿ - 1) / 0.038

To solve for n, we can rearrange the equation:

1.038  ⁿ- 1 = 54.24 * 0.038

1.038  ⁿ= 2.0632

n = log base 1.038 of 2.0632

Using a logarithmic calculator, we find that n ≈ 14.96. Rounding up, we conclude that you have been investing money in this account for approximately 15 years.

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Un muchacho le dijo a otro. "adivina cuántos años tengo si las dos terceras partes de ellos menos 1 es igual a mi edad actual menos 6".

Answers

Answer:

The age of the boy is 15 years

Step-by-step explanation:

Let us assume a be the age of the boy

So, two-third of his age is 2 ÷ 3 × a

As the boy said that two-third minus 1 so it would be equivalent to

  2 ÷ 3 × to - 1

ANd, his current age is a and now if we deduct 6 so

a - 6

AFter this, two-third minus 1 is equivalent to a minus 6

So,  

 2 ÷ 3 × a - 1 = a - 6

- 1 + 6 = a -  2 ÷ 3 × a  

5 =  1 ÷ 3 × a  

a = 3 × 5

 = 15

Hence, The age of the boy is 15 years

escribe con letra 0.00125

Answers

Answer:

zero point zero zero one two five

Step-by-step explanation:

Suppose This system of linear differential equations can be put in the form y' = P(t)y + g(t). Determine P(t) and g(t). P(t) = 3/1₁ 3/2₂2 g(t) = = t³y₁ + 6y₂ + sec(t), sin(t) y₁ + ty₂ - 4.

Answers

The system of linear differential equations is given as y₁' = 3y₁ + 3y₂² and y₂' = 2y₁ + t*y₂ - 4. By comparing it with the general form y' = P(t)y + g(t), we determine that P(t) = [[3, 3y₂²], [2, t]] and g(t) = [0, -4].

To determine the coefficient matrix P(t) and the forcing term g(t), we can compare the given system of linear differential equations with the general form y' = P(t)y + g(t).

The given system is:

y₁' = 3y₁ + 3y₂²

y₂' = 2y₁ + t*y₂ - 4

Comparing the first equation with the general form, we have:

P₁₁ = 3

P₁₂ = 3y₂²

g₁(t) = 0

Comparing the second equation with the general form, we have:

P₂₁ = 2

P₂₂ = t

g₂(t) = -4

Therefore, the coefficient matrix P(t) and the forcing term g(t) for the given system are:

P(t) = [[3, 3y₂²], [2, t]]

g(t) = [0, -4]

Note that the value of y₂ is not provided in the equation for g₂(t), so it remains as y₂ in the expression.

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The triangle on the grid will be translated two units left.

On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).

Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)

Answers

Given:

The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).

The figure is translated 2 units left.

To find:

The vertices and the diagram of the triangle after the given translation.

Solution:

if a figure is translated 2 units left, then

[tex](x,y)\to (x-2,y)[/tex]

Using the above rule, we get

[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]

[tex]A(-1,-1)\to A'(-3,-1)[/tex]

Similarly,

[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]

[tex]B(-1,-5)\to B'(-3,-5)[/tex]

And,

[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]

[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]

So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

there are 4 red and 8 blue marbles in a bag, Mark draws a blue marble out of the bag and does not replace it. Mark draws a second blue marble out of the bag and does not replace it. what is the probability that the next marble he draws will also be blue,

Answers

Answer:3/5

Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5

Answer:

Step-by-step explanation:

Answer:3/5

Other Questions
Climate is characterized by mild summers and cool, moist winters; it is located west of the Cascades What is the slope for a line that is perpendicular to the line y = 4x + 8? The rise in bond price is greater than the fall in bond price when interest rate changes in either direction by the same amount. True False Consider the automobile monopolist Toyota. Demand for Toyota cars is p(Q) = 1,000-2Q and the company's marginal cost is $200 per unit. (a) (8) In the absence of competition, how much output would Toyota produce? What would be the market price? How high is consumer surplus? How high are profits? How large is social surplus? (b) (4) What is the elasticity of demand at the monopolist's chosen quantity? (c) (10) Now suppose the market is perfectly competitive (there are many firms called Toyota, each with a marginal cost of $200 per unit). How much output is produced in the entire market? What would be the market price? How high is consumer surplus? How high are profits? How large is social surplus? (d) (6) Now suppose that producing cars emits harmful pollution. Specifically, each car requires the emission of pollutants that cause $250 of harm at the margin to third parties in the neighborhood of the factory. Therefore, total third party costs are $250Q. With the presence of these additional costs, recalculate social surplus from parts a) and c)? Which market structure delivers higher social surplus in the presence of these external costs? (e) (8) For either perfect competition or monopoly (you get to pick), determine the size of the optimal tax that would be required to deliver an efficient (social surplus-maximizing) outcome. The area of a rectangle is 18w+18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle Antibodies start the inflammatory response. True or False????????? CAN YOU HELP ME PLEASE!!!!!!!!!!!!!!!!! Owner's Equity is affected by: One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second ship is already left the poor traveling to the north at 10 mph and is presently 4 miles north of the port at this instant what is the rate of change of distance between the two ships are they going to close your more for their apart giving brainliest!!pls answer correctly Let f : R R be a function. Define a sequence fn : R R by 1 fn(x) = f ( x + = = ( + / ). n (a) Prove that if f is uniformly continuous, then fn f uniformly. (b) Prove that uniform continuity of f is a necessary assumption to conclude that fn uniformly. That is, give an example of a function : R R such that f is continuous, but that fn does not converge to f uniformly. (Time complexity, 20pt) For the following languages, sketch (high-level, no need to mention states) a 1-tape TM program that solves the problem and include a time analysis of your program showing how much time it takes, e.g. O(n),O(nlog n), O(n^2), O(n^3), etc.; n is the length of the input. a) [10pt] L = {u#v: U, v E {0,1}* and u is a substring of v} b) [CSC 389, 10pt] L = {0^2^k : for k >= 0}. E.g. 0,00,0000,00000000 L. Note that n = 2^k. which of the following was NOT an effect of Nat Turners Revolt. A. Southerners feared slave revolts would spread throughout the south. B. More northerns began to support the abolition of slavery. C. More southern began to support the ambition of slavery. D. Southerns states tightened slave laws. If the height of the box is 7 inches, what is the volume of the box? The manager for Cincinnati FoodCity is compiling the budget for store rent expense. The current level of activity is 3,000 units. The cost formula for store rent expense is $15,000 per month. What is total rent expense if the store plans an activity level of 4,000 units? blake has just arrived as a new student on campus and does not know anyone. all else being equal, is he most likely to become friends with steve who lives next door, with rob who lives two doors down, with scott who lives in the room two floors above, or with carter who lives in another dorm building on campus? Look back through the reading and find one reform that all three enlightened despots enacted. Why do you believe this reform was a universal theme among these absolute rulers? C(4,4)D(-8,0B(6, -2)A(-6, -6) what's the sum of 1,015 and 119 Which groups of numbers could 1/3 fall under. Natural,whole,integer,or rational