[tex] log_{2}(x + 5) + log_{2}(x - 5) = log_{2}(11) \\ = > log_{2}(x + 5) (x - 5) = log_{2}(11) \\ = > log_{2}( {x}^{2} - 25) = log_{2}(11) \\ cancel \: \: \: out \: \: \: log_{2} \: \: \: from \: \: \: both \: \: \: sides \\ {x}^{2} - 25 = 11 \\ = > {x}^{2} = 11 + 25 \\ = > {x}^{2} = 36 \\ = > x = \sqrt{36} \\ = > x = 6[/tex]
Answer:x = 6
Hope it helps.
Do comment if you have any query.
What is the value of B?
Answer:
The value of B is 0 because going down from the middle is all negative and going up from point B is all positive so the answer is 0 degrees
Step-by-step explanation:
Answer:
in linear pair
90+a+24=180
a=180-90-24=66°
B°=90+a=90+66=156°
the value of B°=156°
(Sorry for my brothers dirty ipad-) but can someone answer this for him? points: 52
Answer:
12 students
Step-by-step explanation:
CLEAN THAT IPAD FOR HIM
Answer:
12 students went to the beach fewer than 2 times.
Step-by-step explanation:
Just count the total number of dots that come before 2.
Help me please, please
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.
Step-by-step explanation:
if d is 55 degrees then what is F and E degrees. Explain how you know
Answer:
F=55
E=70
Step-by-step explanation:
The total degree of a triangle is 180.
So we have 180-55*2
E=180-110
E=70
A research company desires to know the mean consumption of meat per week among males over age 43. A sample of 1384 males over age 43 was drawn and the mean meat consumption was 3 pounds. Assume that the population standard deviation is known to be 1.3 pounds. Construct the 99% confidence interval for the mean consumption of meat among males over age 43. Round your answers to one decimal place.
Answer:
The 99% confidence interval for the mean consumption of meat among males over age 43 is between 2.9 pounds and 3.1 pounds.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{1.3}{\sqrt{1384}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 3 - 0.1 = 2.9 pounds
The upper end of the interval is the sample mean added to M. So it is 3 + 0.01 = 3.1 pounds
The 99% confidence interval for the mean consumption of meat among males over age 43 is between 2.9 pounds and 3.1 pounds.
How much money is needed to be invested now to obtain $12,100 8 years from now if this amount is invested at 7.25% compounded continuously?
Answer:
$6,911.92
Step-by-step explanation:
Given the following
Amount A = $12,100
Time t = 8yrs
Rate r = 7.25%
Required
Principal P
Using the compound interest formula;
A = P(1+r)^n
12,100 = P(1+0.0725)^8
12,100 = P(1.0725)^8
12100 = 1.7506P
P = 12,100/1.7506
P = 6,911.92
Hence the amount invested would have been $6,911.92
Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answer:1 2 DNE
Step-by-step explanation:
Answer:
1
2
DNE
Step-by-step explanation:
You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%
interest. How much do you need to deposit each month to meet your retirement goal?
Round your answer to the nearest cent.
Do NOT include the dollar sign.
Answer: 123.05
Use annuity formula
Answer:
Step-by-step explanation:
Since we're talking about making a deposit of a certain amount every month rather than just one big deposit, we are talking about an annuity. The formula for the value of an annuity is A(t)=d[(1+rn)nt−1](rn) where A(t) is the value of the annuity, d is the amount of each deposit, n is the number of deposits per year, t is the number of years, and r is the rate of interest. In this case we know we want the value of the annuity to be A(t)=$150,000, we want to make deposits every month, or 12 times a year, so n=12, we want to reach our desired value in 30 years, so t=30, and our account earns 7% interest, so r=0.07. We can plug in all of these values and solve for d to find the amount we need to deposit each month:
A(t)150,000150,000150,000d=d[(1+rn)nt−1](rn)=d[(1+0.0712)12⋅30−1]0.0712≈d[(1.00583)360−1]0.00583≈1,219.97d≈122.95
The amount you need to deposit each month is approximately $122.95.
Brainliest goes to whoever explains the answer best pls help
Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
[2] y = 5x + 19
// Plug this in for variable y in equation [1]
[1] (5x+19) + 3x = 3
[1] 8x = -16
Solve equation [1] for the variable x
[1] 8x = - 16
[1] x = - 2
By now we know this much :
y = 5x+19
x = -2
Use the x value to solve for y
y = 5(-2)+19 = 9
Answer (-2,9)
A summer movie club charges a $30
membership fee and then $5 per movie.
Which equation can be used to find y, the
total cost of the movie club, if x represents
the number of movies watched.
Is B right?
What are the coordinates of point A
Answer:
The coordinates of point A are (-4, 3)
hope it helps
Answer:
The coordinates of point A is (-4,3)
Step-by-step explanation:
(x,y)
X= -4
Y= 3
B
7
25
с
24
А
Find sin(a) in the triangle.
Answer: 7/25
Step-by-step explanation:
got it correct on khan academy
David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?
On his last 5 math tests, Gilbert earned: 94, 72, 83, 94, 90. What was his average score? ( Report your answer to the tenths place).
Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?
Answer:
$43.20
Step-by-step explanation:
20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20
is 2/3 equal to 2/4 ? if not is it greater
Answer:
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
Step-by-step explanation:
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Evaluate the algebraic expression for the given value(s) of the variable(s).
2x 2 - 7xy + 3y 2 ; x = -3, y = 4
Answer:
-18
Step-by-step explanation:
2x²-7xy+3y²
2(3²)-7(3)(4)+3(4²)
2(9)-84+3(16)
18-84+48
18+48-84
-18
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
Find an equivalent fraction 1/8 = x/56
Answer: I think it’s 1/8 = 7/56
The value of an equivalent fraction is,
⇒ 1/8 = 7/56
We have to given that,
A fraction to solve,
⇒ 1/8 = x/56
Now, We can simplify as,
⇒ 1/8 = x/56
Cross multiplication,
⇒ 56 = 8x
⇒ x = 56/8
⇒ x = 7
Therefore, The value of an equivalent fraction is,
⇒ 1/8 = 7/56
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
POSSIBLE POINTS: 6
Solve each equation and match the solution.
e+8=31
t−25=54
32=y −21
14=b−12
x+8.95=21.95
n +21 =32
Answers,
1. 23
2. 79
3. 53
4. 26
5. 13
6. 11
How I did this,
What I did was subtract 8 from 31 to get ( e ) by itself.
This subject will get harder so I reccomend you focus on school and learn how to do this.
the equation is (9+6)+4=(5+ blank)+4
Answer:
10
Step-by-step explanation:
(9 + 6) + 4 = (5 + x) + 4
15 + 4 = 5 + x + 4
19 = x + 9
19 - 9 = x
10 = x
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
How to show work on this one topic is angles formed by 2 chords and secants
Answer:
Step-by-step explanation:
The ordered pair (10,3) is in quadrant:
Answer:
1
Step-by-step explanation:
ordered pairs with both positive numbers are in Q1
Answer:
That would be the first quadrant, also known as the I quadrant and the top right quadrant.
5 divided by 1/4
go straight to the answer
Answer:
20
Step-by-step explanation:
what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1
Answer:
Equate the divisor to 0
2x-1=0
2×=1
×=1/2
Putting onto the polynomial
f(1/2) = (1/2)³-1/2)²+3(1/2)-2
=-5/8
help me please!! i’m confused!!
The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o
Answer:
i think its 3 in all the boxes but trying is better than not ig wait no nvm