The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
The logarithmic equation is given as:
[tex]\mathbf{log_2(x-6) = 4}[/tex]
Apply exponential law of logarithm
[tex]\mathbf{(x-6) = 2^4}[/tex]
Remove the brackets
[tex]\mathbf{x-6 = 2^4}[/tex]
Add 6 to both sides
[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]
Express 2^4 as 16
[tex]\mathbf{x-6 +6= 6+ 16}[/tex]
Add -6 and 6
[tex]\mathbf{x= 6+ 16}[/tex]
Add 6 and 16
[tex]\mathbf{x= 24}[/tex]
Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
Read more about logarithmic equation at:
https://brainly.com/question/3181916
Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work
Answer: 29%
Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.
Would appreciate brainly <3
find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Which of the following has 104.0032 in written form?
A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths
One hundred and four point zero zero three two.
- BRAINLIEST answerer
Answer:
C.one hundred four and thirty two thousandth
BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.
Answer:
See below for answer.
Step-by-step explanation:
BA ≅ BC Given
DA ≅ EC Given
BA + DA ≅ BC + EC Congruent parts are congruent
BD ≅ BE Addition
Write 0.00000506 in scientific notation.
Answer:
5.06*10 to the power of -6
Step-by-step explanation:
you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT
30 POINTSSS PLEASE HELPP!!!!
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answer:
Short leg: 7cm
Long leg: 7√3
Step-by-step explanation:
This is a 30 60 90 triangle.
Picture shows how to solve.
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.
Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
parallel perpendicular or neither
Answer:
parallel
Step-by-step explanation:
4-2/-9-0= 2/-9
6-8/4+5= -2/9
Given trapezoid WXYZ, what is XY?
Step-by-step explanation:
X is the mulplied
Y is the pronouns
mean: 7.3
median: 7.1
standard deviation: 1.1
Q1: 6.8
Q3: 7.4
when a tenth time is added to the list, the standard deviation increases to 1.5. is the tenth time likely an outlier
Answer:
Yes it is an outlier
Step-by-step explanation:
GUYS I NEED HELP PLZZZ ILL GIVE BRAINLIEST!
Deondra has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12?
No equation really.
I guess she could just by 2 lb green grapes and 3 lb red grapes.
Maybe because I didn't understand the question completely.
write a funny statement
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
PLS WHAT IS THE REAL ANSWWR ASAP
the answer is t<-48
i hope this helped you if you need the explanation lmk
Simplify the expression -3/(-2/5)
-3/(-2/5) = -3 * (5/-2)=15/2=7.5
Answer:
im new but im pretty sure its 7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation:
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answer:
35/72
Step-by-step explanation:
The ratio of roses to tulips is 2:3. What percent of the flowers are roses?
Answer:
40%
Step-by-step explanation:
Roses are 2/(2+3) = 2/5 = 2/5×100% = 40% of the total.
3 - k - 5k =3
i need help on this asap
Hello there!
3-k-5k=3
Combine like terms:
3-6k=3
-6k=3-3
-6k=0
k=0
Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
k = 0
Step - By - Step:
1. 3 - k - 5k = 3
3 - 6k =3
2. rearrange terms:
3 - 6k = 3
-6k + 3 = 3
3. Subtract 3 from both sides of the equation:
-6k_3=3
-6k+3-3=3-3
4. simplify:
-6k + 3 - 3 = 3 - 3
-6k = 3 - 3
-6k = 0
5. divide both sides of the equation by the same term:
-6k = 0
-6k/-6 = 0/-6
6. simplify:
k = 0/-6
3 feet + 7 inches = ___ inches
Answer:
10
because when you plus 3+7 is 10
Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)
Answer:
See Below
Step-by-step explanation:
Lets note some facts,
Last weeks price for tickets: $35
This weeks price: $54
If you were to ask if these numbers increased or decreased, the numbers increased.
It increased by 19%, for as 19 dollars.
Hope this helps!
The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
21
Step-by-step explanation:
Mean is the average of the objects
With five people, the mean is the average age of these people so what did you divide 5 into to get 39.
5 × 39 = 195
After a person enter the room, total 6 in the room with a mean of 36.
6 × 36 = 216
Now the age of the person who entered the room 216 - 195 = 21
I just need answers ;-;
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?
Answer:
25%
Step-by-step explanation:
15 times 6 is 90
90 is 25 % of 360
mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity
Answer:
79507
Step-by-step explanation:
because 64000(1+15/200)^3= 79507
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles
does this help??
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
10u-16
Step-by-step explanation:
Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:
2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16
Answer:
10u - 16Step-by-step explanation:
Perimeter = 5u - 10 + 5u - 10 + 2 + 2
= 10u - 16...ans
Hope it Helps you!!Pls help me with this question
Answer:
were is the qn?
Step-by-step explanation:
Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).
Step-by-step explanation:
a general line equation is
y = ax + b
the slope of a line is always the factor of x (a).
it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here it is -5/4.
it says, when x changes by +4, then y changes by -5.
a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.
and we get it by using the point coordinates in the equation and then solve for b :
1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b
b = -4
so, the full equation of the parallel line is
y = -5/4x - 4
7.5t= 45 Solve this.
Answer:
t = 337.5
Step-by-step explanation:
(7.5) * 7.5t = 45 * (7.5)
t = 337.5
Just some simple algebra, please mark me brainliest!
2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?
Answer: 480 miles
Step-by-step explanation:
first you divide 600 by 50 and thats the amount of hours.
600 / 50 = 12
then multiply 40 x 12 and you got your answer. :)
40 x 12 = 480 therefore your answer is 480
