What is the value of x in the following equation? 11^4x+1= 11^3x-7

What Is The Value Of X In The Following Equation? 11^4x+1= 11^3x-7

Answers

Answer 1

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer 2

Answer:

x=  -8

Step-by-step explanation:


Related Questions

Cylinder math, help me

Answers

Answer:

A= 43.393 rounded

Step-by-step explanation:

A=2πrh

A= 2 [tex]\pi[/tex] 1.625 (4.25)

A= 13.8125[tex]\pi[/tex]

or

A= 43.393 rounded

Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.

Help

Answers

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.

Answers

Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:

a. 17.0 ft.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].

Hence:

[tex]h^2 = 8^2 + 15^2[/tex]

[tex]h = \sqrt{8^2 + 15^2}[/tex]

h = 17.0 ft.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675

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A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!! ​

Answers

Answer:

156 ft

Step-by-step explanation:

the depth of the river =

250-94 = 156 ft

Solve for x. Assume that lines which appear tangent are tangent. x=

Answers

Answer:

this is a long shot( like rly long) but try either -6 or -3

Step-by-step explanation:

Don't co.e for me if I'm wrong im just a poor girl in year 8

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(__,__ )

Answers

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

the answer is (3.2,12)

If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4

Answers

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

Problem:

[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]

Let's try!

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]

Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]

________

#LetsStudy

A . 12
B . 15
C . 36
D .39

Answers

Answer:

The answer is 36 or c all you need to do is multiply 12 by 3

C-36 because your multiplying all of them by 3

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

x=7.8

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Answer:

x=7.8

Step-by-step explanation:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Find the missing side

Answers

Answer:

x = 20.31 inches

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(62^{\circ})=\frac{x}{23}[/tex]

[tex]23sin(62^{\circ})=x[/tex]

[tex]x=20.3079464[/tex]

[tex]x\approx20.31[/tex]

Therefore, the missing side is 20.31 inches long.

Which side lengths form a right triangle?​

Answers

Answer:

answer is option B

9² +40² =41²

81+1600=1681

Answer:

B) 9 , 40, 41

............

Helppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

4.4

Step-by-step explanation:

that is the procedure above

How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the

A. tens
B. thousands
C. millions
D. hundreds

Answers

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

Question and choices are in the photo please explain the answer

Answers

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

–6(2 + a) = –48 please answer

Answers

Answer:

a = 6

Step-by-step explanation:

–6(2 + a) = –48

Divide each side by -6

–6(2 + a) / -6 = –48/-6

2+a = 8

Subtract 2 from each side

2+a-2 = 8-2

a = 6

-6(2 + a) = -48

The -6 can be distributed.

-12 - 6a = -48
-6a = -48 + 12
-6a/-6 = -36/-6

Double negatives make a positive.

a = 6

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.

Answers

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

What is the solution to the system of equations

Answers

Answer:

Y = -8.17

X= -4.936

For the first one

Step-by-step explanation:

4x=26+6y

X = 6.5+1.5y

5(6.5+1.5y)-4y = 8

32.5+7.5y-4y = 8

24.5=-3y

Y = -8.17

X= -4.936

the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answers

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

What's the surface area of the pyramid?

Answers

The Answer is C    226.8 ft

I remember doing this not to long ago

I think the answer is C

Please help me with these questions

Answers

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

if a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answers

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?​

Answers

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

d = b² - 2*2*5 = b² - 20

If d < 0, we get:

b² - 20 < 0b² < 20b < |√20|- √20 < b < √20

or

-2√5 < b < 2√5

or

b = (-2√5, 2√5)

What is the average rate of change of f over the interval [3,4]?

Answers

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4

1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.​

Answers

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?

A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe

Answers

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

What is Angle Sum Property of a Triangle ?

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

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Logx-1(343)=3 solve for base x

Answers

Answer:

should be 8 !

Step-by-step explanation:

it just is


A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation

The ladder will reach a height of 20.6 feet

The given parameters are:

Length = 45-footHeight = 27 feet

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?

Answers

Answer:

100-89/100=11/100

=0.11

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