what is x in 8 ^ (x - 1 ) = 16 ?

Please help. ​

Answers

Answer 1

Answer:

x=7/3

Step-by-step explanation:

8 ^ (x - 1 ) = 16

We need to rewrite 8 as 2^3  and 16 as 2^4

2^3 ^ (x - 1 ) = 2^4

We know that a^b^c = a^(b*c)

2^(3(x-1)) = 2^4

The bases are the same so the exponents are the same

3(x-1) = 4

Distribute

3x-3 = 4

Add 3 to each side

3x-3+3 = 4+3

3x = 7

Divide by 3

3x/3 = 7/3

x=7/3


Related Questions

Please help!!!
What is the measure of

Answers

Answer:

m∠DAB = 91 degrees

Step-by-step explanation:

Total degree of a parallelogram = 360

m∠CDA = m∠ABC

Let x represent m∠DAB & m∠DCB

m∠CDA + m∠ABC + m∠DAB + m∠DCB = 360 degrees

89 + 89 + x + x = 360 degrees

Add 89 + 89

178 + x + x = 360

Subtract 360 - 178

x + x = 182

Divide 182 by 2

x = 91 degrees

so the m∠DAB = 91 degrees

A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.



Which equation can be used to determine the amount of cherry juice in each mixture?

5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q

Answers

Answer:

I think 5q+3(8-q) =36 is the answer for this question

Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.

What is the amount of cherry juice used?

Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:

q + r = 8

5q + 3r = 36

The first equation can be rewritten as:

q + r = 8

r = 8 - q

Using substitution into the second formula we get:

5q + 3r = 36

5q + 3(8 - q) = 36

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En un triángulo ABC, se traza la mediana BM, si AM = 5x - 4 y MC = 3x + 6. Calcula AC.
A) 5 B) 7 C) 14 D) 21 E) 42

Answers

Answer:

A) 5

Step-by-step explanation:

Find the measure of the missing angle using the triangle angle sum theorm.

Answers

Answer:

65°

Step-by-step explanation:

The sum of angles in a triangle =180

53°+62°+?°=180°

115°+?°=180°

?°=180°-115°

Rate the answer If you love everything I did n explanation

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add up to 180, so 180 - 53 - 62 = 65.

Does the graph have even symmetry, odd symmetry, or neither ?

Answers

Answer:

Odd symetry I think

Step-by-step explanation:

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This is it

A box contains eight cards labeled P, Q, R, S, T, U, V, and W. One card will be randomly chosen.
What is the probability of choosing a letter from Q to W?
Write your answer as a fraction in simplest form.

Answers

Answer:

7/8

Step-by-step explanation:

Probability= (Cards having letter Q to W)/(All cards) = 7/8

can someone help me with the question?​

Answers

Corndogs broo likeee everyone knows this

1. What is the sum of 3/4 and 4/5?

Answers

3/4 + 4/5 =
15/20 + 16/20 = 31/20
= 1 and 11/20

Find x.
a. 30.9
b. 34.4
c. 17.1
d. 15.4

Answers

Answer:

x = 17.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 42 = x/23

23 cos 42 = x

17.09233 =x

Rounding to 1 decimal place

x =17.1

7. La somme de deux multiples de 3 consécutifs est de 129. Quels sont ces deux nombres?

Answers

Answer:

Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.

Step-by-step explanation:

The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.

What type of line is PQ?

A. side bisector
B. altitude
C. median
D. angle bisector

Answers

Answer:

D

Step-by-step explanation:

Since ∠ RPQ = ∠ SPQ = 60° , then

PQ bisects ∠ RPS and is an angle bisector

PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

What is angle bisector?

Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.

It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]

Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]

[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]

[tex]&m \angle R P S=120^{\circ}[/tex]

Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].

Therefore, the correct answer is option D. angle bisector.

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Work out 8^1/3 divide by 5^-2

Answers

Answer:

66.6666666667

Step-by-step explanation:

answer is 66.6666666667

The solution of the division of 5⁻² by 8^(1/3) will be 50.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given numbers will be solved as:-

Division = ( 8 ^ (1/3) / 5⁻²

Division = 2 x5²

Division = 50

Therefore, the solution of the division of 5⁻² by 8^(1/3) will be 50.

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Evaluate the following expression using the values given: (1 point)

Find 3x − y − 3z if x = −2, y = 1, and z = −2.

Answers

3(-2) - 1 - 3(-2) = -1

Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So
that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a
fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.

Answers

Here we basically are finding the hypotenuse of a triangle with side lengths of 120yards+120 yards
Following the equation a^2+b^2=c^2, we are going to solve C this is because a & b at equivalent to 120( side lengths)

A^2 +B^2=C^2
square root= (A^2 +B^2)=C
square root=(120^2+120^2)=C
square root (120^2 + 120^2) = C
square root (14400 + 14400) =C
square root(28800)=169.7 rounded up to 170 yards of fencing needed!




A sphere has a radius of 8cm.Find its volume​

Answers

Answer:

[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 cm

Step 2: Find Volume

Substitute in variables [Volume of a Sphere Formula]:                                 [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]

Answer:

sphere

Step-by-step explanation:

volume of a sphere = 4/3πr³

= 4/3*22/7 * 8³

= 2145.5

In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

Answer:

1:10:3

Step-by-step explanation:

Determine whether ABC are functions:

A. (2,5) (3,7) (-1,4) (0, 6)
B.(-3, 1) (4, 2) (5,-2) (-3,-1)
C. (3,4) (-4, 6) (-1,0) (0,1)
A.
B.
C.

Answers

Answer:

A. Function

B. Not a function

C. function

Connor wants to represent 25 divided by the difference of 12 and seven he writes the expression of ( 25÷12) -7 is Connor expression correct explain

Answers

Step-by-step explanation:

Step 1:  Check to see if Connor is right

25 divided by the difference of 12 and seven

25 / (12 - 7)

Since we have a 12 and seven, that means that we have them together.  However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7.  Therefore, Connor is incorrect.

Answer:

No he's not correct.

Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5  after doing that we divide 5 by 25 so it would look like this 25÷5=5.

So the correct equation is (12-5) ÷25

Hope this helps!

 

Given that $x < 5$, rewrite $5x - |x - 5|$ without using absolute value signs. WILL GIVE BRAINLIEST

Answers

Answer:

6x-5 if x<5

Step-by-step explanation:

If x<5, then x-5<0.

If x-5 is negative, then |x-5)=-(x-5) or -x+5.

5x - |x - 5|

5x-(-x+5) provided x<5

5x+x-5 by distributive property

6x-5 combined liked terms

Explain this to me I don't understand

Answers

Answer:

26.124

Step-by-step explanation:

SOH CAH TOA

tan 43 = about 0.933

than times it by 28 and get

26.124

Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42

Answers

Answer:

D

Step-by-step explana

[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]

[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]

Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]

5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T

Answers

Solution:-1

[tex] \\ \sf \longmapsto \: HT=√15^2+8^2[/tex]

[tex] \\ \sf \longmapsto \: HT=√225+64[/tex]

[tex] \\ \sf \longmapsto \: HT=√289[/tex]

[tex] \\ \sf \longmapsto \: HT=17cm[/tex]

Solution:-2

Angle T=15x

Let others be 8x and 17x

[tex] \\ \sf \longmapsto \: 8x+17x+15x=180[/tex]

[tex] \\ \sf \longmapsto \: 40x=180[/tex]

[tex] \\ \sf \longmapsto \: x=\dfrac{180}{40}[/tex]

[tex] \\ \sf \longmapsto \: x=4.5[/tex]

[tex] \\ \sf \longmapsto \: 15x=15(4.5)[/tex]

[tex] \\ \sf \longmapsto \: \angle T=67.5°[/tex]

Solution:-3

[tex] \\ \sf \longmapsto \: \angle H=8x[/tex]

[tex] \\ \sf \longmapsto \: \angle H=32.5°[/tex]

Solve for ppp. 16-3p=\dfrac23p+516−3p= 3 2 ​ p+516, minus, 3, p, equals, start fraction, 2, divided by, 3, end fraction, p, plus, 5 p=p=p, equals

Answers

Given:

The given equation is:

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

To find:

The value of p.

Solution:

We have,

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

Multiply both sides by 3.

[tex]3(16-3p)=3\left(\dfrac{2}{3}p+5\right)[/tex]

[tex]48-9p=2p+15[/tex]

Isolating the variable terms, we get

[tex]48-15=2p+9p[/tex]

[tex]33=11p[/tex]

Divide both sides by 11, we get

[tex]\dfrac{33}{11}=p[/tex]

[tex]3=p[/tex]

Therefore, the required solution is [tex]p=3[/tex].

Answer:

p=3

Step-by-step explanation:

i got it right on khan

please me in the math
Find the H.C.F
[tex] {x}^{2} - 4 \\ {x}^{3} + 8 \\ {x}^{2} + 5x + 6[/tex]
​it so simple

Answers

Step-by-step explanation:

Solution

First equation x ² - 4

= (x+2) (x-2)

Second equation = x ³ +8 + = x³+2^3

= (x-2) (x² + x₁2 +2²) = (x-2) (x² + 2x+4)

3 Third equation = x ² + 5x + 6

= x² + 6x= x +6 = x(x+6)-1(x+6)

(x-1) (x+6)

H.C. F= x-2

-80% + 50/54 (fraction) - 0.25

Answers

Answer:

-67/540

Step-by-step explanation:

I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.

Can someone help me with this math homework please!

Answers

Answer:

Below

Step-by-step explanation:

From the graph the first local minimum is -16.18

The local maximum is 3.75

The second local minimum is -3.

Answer:

Over the interval (-3,0), the local minimum is -16.18Over the interval  [0,3], the local maximum is -3.75Over the interval [0,3], the minimum is -3

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

Hope it helps..

Have a great day!!

A block is being dragged along a horizontal surface by a constant horizontal force of size 45 N. It covers 8 m in the first 2 s and 8.5 m in the next 1 s. Find the mass of the block.

Answer: 15kg

Can anyone please explain this sum with proper working? ​

Answers

Answer:

Solution: To determine mass of the block we can use second Newton' law \vec F=m\vec a

F

=m

a

. The force and acceleration according the problem is directed along a horizontal surface, and we can omit the vector sign in Newton's law. The force we know F=45NF=45N, thus we should deduce the acceleration. The problem does not specify the initial speed at which time began to count, so for the first time interval, we may write the kinematics equation in the form

(1) S_1=v_1\cdot t_1+a\frac {t_1^2}{2}S

1

=v

1

⋅t

1

+a

2

t

1

2

, where S_1=8m, t_1=2s S

1

=8m,t

1

=2s , other quantities we don't know. The similar equation we can write for next time interval

(2) S_2=v_2\cdot t_2+ a\frac{t_2^2}{2}S

2

=v

2

⋅t

2

+a

2

t

2

2

. where S_2=8.5m, t_2=1s S

2

=8.5m,t

2

=1s

Note that during the first time interval, the speed of the block increased in accordance with the law of equidistant motion and it became the initial speed of the second interval, i.e.

(3) v_2=v_1+a\cdot t_1v

2

=v

1

+a⋅t

1

Substitute (3) to (2) we get

(4) S_2=(v_1+a\cdot t_1)\cdot t_2+ a\frac{t_2^2}{2}=v_1\cdot t_2+a\cdot t_1\cdot t_2+a\frac{t_2^2}{2}S

2

=(v

1

+a⋅t

1

)⋅t

2

+a

2

t

2

2

=v

1

⋅t

2

+a⋅t

1

⋅t

2

+a

2

t

2

2

From equation (1) and (4) we can exclude unknown quantity v_1v

1

, then remain only one unknown aa. For determine aa we dived (1) by t_1t

1

, (4) by t_2t

2

to find the average speed at time intervals and subtract (1) from (4).

(5) \frac {S_2}{t_2}-\frac {S_1}{t_1}=v_1+a\cdot t_1 +a\frac {t_2}{2}-(v_1+a\frac{t_1}{2})=a\frac{t_1+t_2}{2}-

t

2

S

2

t

1

S

1

=v

1

+a⋅t

1

+a

2

t

2

−(v

1

+a

2

t

1

)=a

2

t

1

+t

2

− For acceleration we get

(6) a=2\cdot ( {\frac{S_2}{t_2}-\frac{S_1}{t_1})/(t_1+t_2)}=2\cdot \frac{(8.5m/s-4m/s)}{3s}=3ms^{-2}a=2⋅(

t

2

S

2

t

1

S

1

)/(t

1

+t

2

)=2⋅

3s

(8.5m/s−4m/s)

=3ms

−2

For mass from second Newton's law we get

(7) m=\frac{F}{a}=\frac{45N}{3ms^{-2}}=15kgm=

a

F

=

3ms

−2

45N

=15kg

Answer: The mass of the block is 15 kg

Cassie paid 55% of the bill. The remaining $18 was covered by her friend. What was the total bill

Answers

40 dollars since 50% of 40 is 20 and an extra 5% cuts 2 dollars off so 55% is 22 dollars thar Cassie payed leaving her friend with 18 dollars

find the least square number which is exactly divisible by 8,12,15&20​

Answers

Answer:

first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20

2*2*2*5*3=120

Then

as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30

so,

least perfect square number which is divisible by each of numbers 8 12 15 and 20

=120*30=3600

Step-by-step explanation:

Hello can we be friends.....

what's is 11 divided by 620​

Answers

Answer:

0.017741

Step-by-step explanation:

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