Answers
Answer:
[tex]x = - 1.[/tex]
Step-by-step explanation:
[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]
♨Rage♨
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{x} = \frac{1}{2} [/tex]
We know that (1/2) can be written as 2^-1. So, it will be;
[tex] {2}^{x} = {2}^{ - 1} [/tex]
Looking on both sides we find that both have same base. So,
x = -1
(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)
Hope it helps...
Related Questions
Solve each equation for x.
8. d= f+ fx
Answers
Answer:
(d/f)-1=x
Step-by-step explanation:
d=f+fx
d-f=fx
(d-f)/f=x
(d/f)-1=x
I need help with Regis question.
Answers
Answer:
It is 3/13
Step-by-step explanation:
it is because there are 13 total marbles and 3 yellow ones
Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answers
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answers
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
plz help me with this ty
Answers
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
Find the inverse of f(x) = 3x + 7
Answers
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
I need the measurements ASAP!! Pls help me
Answers
Answer:
Step-by-step explanation:
A=53
B=53
C=74
D=122
okay so i worked from D up so you would do 180-58 to get 122
then for C you would do 4858 to get 106 then do 180-106 to get 74
then for A and B you would do 106 divided by 2 bc they ae the same size
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Answers
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answers
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answers
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answers
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answers
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]
3 to the 7th power time 3 to the -4th
Answers
Answer:
3 to the 3rd power
Step-by-step explanation:
Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.
Answers
Answer: Choice C) Undefined slope is when there is no vertical change
If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.
This is because the slope formula
m = (y2-y1)/(x2-x1)
has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answers
Answer:
.
Step-by-step explanation:
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answers
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
Open-end credit is A: a loan given for a short period of time that is not dependent on credit history. B: pledged to a company as security for a loan repayment. C: an amount of time during which a loan can be repaid without interest. D: an agreement with an institution on a certain amount that can be repeatedly borrowed.
Answers
Answer:
D
Step-by-step explanation:
Here we want to select which of the options best define open end credit.
When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.
In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.
In simple case, it is a system of borrowing and loan repayment simultaneously
HELP ME PLEASE I NEED BRAINLIEST
Answers
Answer:
11
Step-by-step explanation:
Here, we replace x and y with the values given that x = 6 and y = 2:
=[tex]\frac{3(6)+4}{(2)}[/tex]
= [tex]\frac{18+4}{2}[/tex]
=[tex]\frac{22}{2}[/tex]
=11
What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party
Answers
Answer:
swing state
noun
a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.
Step-by-step explanation:
Put these numbers in order from least to greatest
4.9 4.5 314
Answers
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answers
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
PLZZZ I NEED HELPP THANK YOU SO MUCH
Answers
Answer: A.) B.) D.)
Step-by-step explanation:
It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product?
Answers
Answer:
48
Step-by-step explanation:
8
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
Answers
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answers
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Answers
Which choice shows the following rational numbers in order from least to greatest?
1.6
9/10
15/8
190%
1 1/2
I will give BRAINLIEST!!!!!!!
Answers
Answer:
It is A trust.
Step-by-step explanation:
9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8
then 190% because it is the largest number
Answer:
tfgvb
Step-by-step explanation:
tfgcv
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answers
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)
I need help please it’s due in a couple of minutes
Answers
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
help find missing angle??
Answers
Therefore, we know that the missing angle is 15 degrees.