Solve for x
2^x= 0.0625(X is an integer)
Answers
Answer:
there you go:)
..................
This question is to do with logs and indices
2^x =0.0625
we know that 2³=8
And log2(8) = 3
*using this form we can solve for x*
2³=8
2^x =0.0625
log?(?) = ?
Both indices have a base of 2 so the log2 stays the same
Instead of 8 we put the 0.0625 in the bracket
So we get
log2(0.0625) = ?
Put this in your calculator and you should get
log2(0.0625) = -4
Related Questions
how many songs can you play on sound cloud before a ad comes on
Answers
At 100°F, a certain Insect chirps at a rate of 97 times per minute, and at 102°F, they chirp 111 times per minute. Write an equation in slope-intercept form that represents the situation.
Answers
Answer:
y = 7x - 603
Step-by-step explanation:
We start by determining the slope:
m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,
Now we substitute the slope into the slope-intercept equation y = mx + b, solving for the y-intercept [b]:
111 = 7(102) + b,
b = -603
Equation: y = 7x - 603
Solve for x.
16 = -2x - 1
Solve for x.
16 = -2x - 1
pls
Answers
Answer:
1. 7
Step-by-step explanation:
Answer:
x = 7 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Simplify
x(2x + 3) + (x - 3)(x - 4)
Answers
Answer:
3x^2-4x+12
Step-by-step explanation:
x(2x+3)+(x-3)(x-4)
2x^2+3x+x^2-3x-4x+12
2x^2+x^2+3x-3x-4x+12
3x^2-4x+12
Answer:
3x² -4x + 12
Step-by-step explanation:
x(2x + 3) + (x - 3)(x - 4)
= 2x² + 3x + x² - 4x -3x + 12
= 3x² -4x + 12
Solve: 2/3x = 18
A.) x = 12
B.) x = 27
C.) x = 16
D.) x = 3
Answers
Answer:
option b 27 is the answer
Two different functions are shown below.
1st function:
2nd function: y=3x
Which of the following statements is true?
Both functions have a positive slope
Both functions have a negative slope
Both Functions Are Proportional
Answers
Answer:
I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.
Step-by-step explanation:
One half of one one hundredth is
Answers
Answer:
1/2 of 1/100 = 1/200
Step-by-step explanation:
Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.
Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.
Answers
Answer:
The first one is mean absolute deviation and the second one is did not improve
Step-by-step explanation:
I took the test
The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
The given table is:
Mean MAD
Last Year 16.2 s 1.2
This Year 14.7 s 1.9
Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.
The mean absolute deviation is bigger, but the change in the mean is bigger.
difference of the mean 16.2 - 14.7 = 1.5
difference of the MAD 1.9 - 1.2 = 0.7
This means that the average speed of the runners increased since last year,
and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.
Learn more about Mean here:
https://brainly.com/question/521501
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A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?
Answers
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00
Answers
Answer:
1.39
Step-by-step explanation:
Given the quadratic equation :
2x^2+3x-8 = 0
We could apply the quadratic equation formula :
a = 2 ; b = 3, c = - 8
The formula is stated as :
-b±sqrt(b² - 4ac)/2a
To save computation tune, we could use a calculator :
The roots are : - 2.886 ; 1.386
The positive solution rounded to the nearest hundredth is : 1.39
Today, the price of a new cell phone is $129.
In 2000, the price of a similar cell phone was $240.
What is the percent of change in the price of a cell phone from 2000 to today? Round to the nearest whole percent.
Answers
Answer:
54%
Step-by-step explanation:
129/240 = 0.5375 (divided to find the % change)
0.5375 * 100 (to convert decimal to percent form)
53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)
I'm very confused on what the answer to this one is
Answers
Answer:
(-3,1.5) (0,3) (3'3)
Step-by-step explanation:
multiply all the coordinates by 1/2
please help asap......
Answers
Answer:
third one and fifth
Step-by-step explanation:
pizza HELP me this is really important answer for both questions
3. In a given city, the number of rainy days and the number of sunny days are recorded.
A. If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days? B. If 50% of days are sunny and 50% of days are rainy, what is the ratio of sunny days to rainy days?
Answers
Answer:
i think the ratio for the first is 1:5 and the other is 1:1
Step-by-step explanation:
have a nice day
A ratio scale contains _____. the properties of order, classification, and equal distance between points but no unique origin the four major sources of error mutually exclusive and collectively exhaustive categories as well as the property of order, but not distance or unique origin the properties of classification, order, equal distance, and unique origin mutually exclusive and collectively exhaustive categories, but without the properties of order, distance, and origin
Answers
Answer:
the properties of classification, order, equal distance, and unique origin.
Step-by-step explanation:
A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;
1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
Hence, a ratio scale contains the properties of classification, order, equal distance, and unique origin.
Due tomorrow!!!!
Select all values of that are solutions to the equation (x−5)(7x−21)=0 .
Group of answer choices
A: -7
B: -5
C: -3
D: 0
E: 3
F: 5
G: 7
Answers
Answer:
answer is F. 5
Step-by-step explanation:
5 is the answer
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Answers
Answer:
3*∑ (1/2)^n = 6
Step-by-step explanation:
We have the summation from n = 1 to n = ∞, for:
∑ 3/(2)^(n - 1)
We know that the summation between k = 0, and k = N - 1 for:
∑ r^k = (1 - r^N)/(1 - r)
if we have the summation between k = 0 and k = ∞ - 1 = ∞
(here we used that ∞ is really big, then ∞ - 1 = ∞)
In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.
Then if we assume that 0 < r < 1 we can write:
∑ r^k = 1/(1 - r)
In our case, we can rewrite our summation as:
3*∑ (1/2)^n
for n = 0 to n = ∞
You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)
Then we have r = (1/2) which is clearly smaller than 1.
then (1/2)
Then this summation is equal to:
3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6
3*∑ (1/2)^n = 6
ANSWER ASAP PLEASEEE
Brenda took one of her friends out to lunch. The lunches cost $70 and she paid 10% sales tax. If Brenda left a 10% tip on the $70, how much in total did she pay?
Answers
Answer: $84
Steps:
70 * 10%
70 * 0.10 = $7 sales tax
70 * 10%
70 * 0.10 = $7 tip
$70 lunch cost + $7 sales tax + $7 tip = $84
help please I gotta get my grade up!
Answers
First step: you got to add y to both sides in the math problem Ex: 15x - y + y < 12 + y
Second step: simplify 15x < 12 + y
Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15
Last and Fourth step: Simplify and thats your answer x < 12 + y/15
Timberly spent 3 4/5 hours in Misty spent 2 1/10 hours at gymnastics practice over the weekend. How many more hours did Timberly spend than Misty at the gymnastics practice?
Answers
Answer:
Step-by-step explanation:
The common denominator of these 2 fractions is 10.
Turn the mixed number 3 4/5 into an improper fraction which would be
19/5.
Then multiply the numerator and denominator with 2 to get the denominator to be 10.
19/5 x 2 = 38/10
Now turn 2 1/10 into an improper fraction= 21/10
Now subtract...
38/10 - 21/10 = 17/10
So Timberly spent 17/10 or 1 7/10 more hours then Misty at the gymnastics practice
math (not too hard answer asap) :)
Answers
Answer:
A and CStep-by-step explanation:
A. 134 is the mode, correct, repeated 5 timesB. 111 is appears 3 times, incorrect , this number is not part of data setC. There are more data values between 130 and 139, correct, there are 8 of themD. There are 20 data values, incorrect , there are 23In 4 hours Jessie can make 6 necklaces. How many necklaces can she make in 10 hours?
Answers
Answer:
13
Step-by-step explanation:
in 8 hrs she can make 12 then cn only make one more so
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands on an even number?
Enter you answer, as a fraction in simplified form, in the box
Answers
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 2 3 4 5 6
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.
So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer:
1/4
Step-by-step explanation:
please help, i will give 20 points
Answers
4. Overall, there are 45 students.
13 students achieved a mark over 65
[tex]\frac{13}{45} *100[/tex] = 29%
Therefore the answer is b. 29%
5. b is incorrect.
This is because retrievers account for 10% of the dogs, not 15%.
100%-(35% + 45% + 10%) = 10%
PLEASE HELP ME :)))Micheal is making scale drawings of rectangular rooms using a scale of 1in to 1 1/2 feet
Answers
Answer:
a) 256 ft^2 No
b) 150 ft^2 Yes
c) 300 ft^2 NO
d) 192 ft^2 Yes
w=8.5 in
l=11 in
A=w•l
A=8.5•11=93.5 in^2
Scale:
1in:1.5 ft
1in^2:2.25 ft^2
1in ^2. 2.25ft^2
93.5 in^2. Xft^2
X=2.25•93.5
X=210.375
Step-by-step explanation:
The required answers are below the scale drawings for each of these rooms:
a. 16 feet by 16 feet: No
b. 10 feet by 15 feet: es
c. 15 feet by 20 feet: NO
d. 12 feet by 16 feet: Yes
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
a. 16 feet by 16 feet:
The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.
Answer: No.
b. 10 feet by 15 feet:
The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.
Answer: Yes.
c. 15 feet by 20 feet:
The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.
Answer: Not.
d. 12 feet by 16 feet:
The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.
Answer: Yes.
Learn more about the Scale images here:
brainly.com/question/13194929
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How many triangles can be constructed with side lengths of 4, 8, and 13?
A. 0
B. 1
C. More than 1
Answers
Answer:
yeah i dont know i want my points xd 494 4944
Step-by-step explanation:
Solve for x
x+4=−2
help please.
Answers
Answer:
x=-6
Step-by-step explanation:
The only thing to do is to transpose 4 and it will become negative,so-2-4=-6
Answer:
X = -6
Step-by-step explanation:
The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4
Work out the new equation:-
x = -2 - 4
NOTE: -2 - 4 = -6
Therefore x = -6
PLEASE HELP I NEED TO TURN THIS IN SOON
Answers
...........................
Which diagram does not represent a
function?
Answers
Answer:
your answer is correct its option B
Step-by-step explanation:
hope it's helpful...
have a great day
Solve the system of equations
-12x+9y=7
3x+4y=2
Show all workings please
Answers
Answer:
x = -2/15 & y = 3/5
Step-by-step explanation:
- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)
Multiply both sides of (2) by 4:
12x + 16y = 8
Add the new equation & (1):
12x + 16y = 8
-12x + 9y = 7
0 + 25y = 15 => y = 15/25 = 3/5
Thus, substitute the value of y in (2):
3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5
=> 3x = -2/5
=> x = - 2/15
Answer:
[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]
Step-by-step explanation:
−12x+9y=7
3x+4y=2
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−12x+9y=7,3x+4y=2
To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.
3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2
Simplify.
−36x+27y=21,−36x−48y=−24
Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.
−36x+36x+27y+48y=21+24
Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.
27y+48y=21+24
Add 27y to 48y.
75y=21+24
Add 21 to 24.
75y=45
Divide both sides by 75.
y=3/5
Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.
3x+4×(3/5)=2
Multiply 4 times 3/5
3x+12/5=2
Subtract 12/5 from both sides of the equation.
3x=-2/5
Divide both sides by 3.
x=-2/15
The system is now solved.
x=−2/15 ,y=3/5