Which of the following is equivalent to the expression below?
To get the answer, we'll use the following property of logs:
logₓ(A) + logₓ(B) = logₓ(A*B)
SImplifying the given expression:
Now, we are given the expression:
log₆36 + log₆216
Using the property listed above, we can rewrite it as:
log₆(36*216)
log₆(7776)
Hence, option (C) is correct
What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.
Answer:
62.832 mi^2
Step-by-step explanation:
Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2
Curved Surface Area= pi x diameter x height
= pi x 4 x 3 = 12 pi mi^2
So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)
Answer:
SA=62.832 mi^2
Step-by-step explanation:
To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.
can you please explain how i can work through these problems?
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
what is 3 3/5 x (-8 1/3)?
Answer:
The answer is negative thirty
Answer:
The answer is -450/15 = -30
Step-by-step explanation:
3 3/5 and -8 1/3 are numbers in mixed fractions. For getting the answer, the numbers must be converted into improper fractions with the formula =
Quotient * Divisor + Remainder = Dividend
Therefore;
=> 3 3/5 = 3 * 5 + 3 = 18/5
=> -8 1/3 = -8 * 3 + 1 = -25/3
Now, we multiply the improper fractions.
=> 18/5 * (-25/3)
=> -450/15
=> -30 is the final answer
Hope this helps you!
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
HELP
When x=7
7+7(x-3)²
Answer:
it should be 119
Step-by-step explanation:
(7-3) = 4
4^2 = 16
16 x 7 = 112
112 + 7 = 119
Answer: 119
[tex]7+7(x-3)^{2}[/tex]
[tex]7+7(7-3)^{2}[/tex]
[tex]7+7(4)^{2}[/tex]
[tex]7+7(16)[/tex]
[tex]7+112[/tex]
=119
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
3.
Work out
(a)
(__)-(3)
$74.00 sweatshirt; 5% tax
|
Answer:
the tax amount is $3.7
Step-by-step explanation:
Given that
The price of the sweatshirt is $74
And, there is a 5% tax
So we assume that We need to find out the tax amount
So here the following formula should be used
= Price of the sweatshirt × tax rate
= $74 × 0.05
= $3.7
Hence, the tax amount is $3.7
So the same would be considered and relevant
Pleaseeee helpppp meee
Answer:
try searching it
Step-by-step explanation:
Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.
14:30 describes her class in terms of number of girls to total number of students
BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Answer:
Crew neck is the most popular, so she should probably order that
Step-by-step explanation:
Answer:
Crew Neck t-shirts are most efficient
BRAINLIEST ASAP
does anyone have the worksheet answers?
Answer:
√-4 = 2 i
√-9 = 3 i
√-2 = 1.41421356237 i
HELP!!! The graph is at the top! Will mark as brainliest answer!!
Answer:
The value of BEF = 36°
Step-by-step explanation:
Given:
Angle AED = 90°
Angle BEF = 3x°
Angle CEF = 54°
Find;
The value of BEF
Computation:
We know that;
Angle AED = Angle BEC (Vertical opposite angle)
So,
Angle AED = Angle Angle BEF + Angle CEF
90 = 3x + 54
3x = 90 - 54
3x = 36
x = 36 / 3
x = 12
The value of BEF = 3x
The value of BEF = 3(12)
The value of BEF = 36°
40 points plz help if u can Which function has no Zeroes? Select all that apply.
(there are 2 correct answers )
y = csc(x) and y = sec(x)
==========================================================
Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
y = cot(x)y = sin(x)y = tan(x)So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
------------
If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
Anna ate a cookie that was 142 calories. She wants to burn those calories during her workout. When she goes running she burns at a rate of 63 calories per mile. When she bikes she burns 240 calories in 3 miles. If she plans to travel 2 miles, should Anna run or bike to meet her goal? I want the answer and a detailed reason as to why u got that answer. first, one to get it correct is brainly.
Answer:
Bike
Step-by-step explanation:
Anna should go biking because when she runs it goes 63 calories per mile, and 63*2 is just 126 and that does not meet the goal of 142 calories. However, in biking if she goes 3 miles she burns 240 calories, so 240/3=80 so that means 80 calories a mile. 80*2 miles makes 160 which is more than enough calories burnt.
Answer:
Anna Should bike
Step-by-step explanation:
Run:
When she runs she only burns 63 calories in an hour, since she wants to travel 2 miles, multiply 63 by 2 which equals 124 calories per two hours. 124<142, so running wouldn't burn 142 calories.
Bike:
when she bikes, she burns 240 calories per every 3 miles. you have to find how many calories she burns in 1 mile first. To do this you divide 240 by 3. This equals 80 calories every mile. Because she wants to travel 2 miles, multiply 80 by 2 to get 160 calories burned every 2 miles. since 180>160 she should take the bike.
Please answer this question correctly
If the area of a rectangle is 16a^3 – 12a² + 8a and the width is 4a. Find the length
of the rectangle.
Answer:
4a² - 3a + 2
Step-by-step explanation:
*picture above*
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
Answer:
293 seconds
Step-by-step explanation:
60*4=240
240+53=293
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
Which graph represents the function f(x) =4·3^x
Answer:
c
Step-by-step explanation:
the answer is c c c c c c c c
What inequality is represented by this graph?
1 2 3
s 8 i å
6 7 8 9
X36
X
x28
Answer:
[tex]x < 6[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The inequality
The arrow points starts at 6 and points left.
This means that:
[tex]x < 6[/tex] or [tex]x \le 6[/tex]
The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]
Hence, [tex]x \le 6[/tex] is invalid
So, the inequality is: [tex]x < 6[/tex]
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing only bonds from portfolio B?
Solution :
P(A) = 0.2
[tex]$P(B)=0.3$[/tex]
[tex]$P(C)=0.5$[/tex]
Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.
Let Stock = S
Bond = b
Therefore, we have:
[tex]$P(S|A) = 0.5$[/tex]
[tex]$P(b|A) = 0.5$[/tex]
[tex]$P(S|B) = 0.5$[/tex]
[tex]$P(b|B) = 0.5$[/tex]
[tex]$P(S|C) = 0.5$[/tex]
[tex]$P(b|C) = 0.5$[/tex]
Therefore,
[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]
= 0.5 x 0.3
= 0.15
Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.
What is probability?Probability is the chance or likelihood of an event occurring.
Mathematically, probability is given as;
Probability = number of expected outcomes/number of possible outcomesFrom the tree diagram:
P(A) = 0.2
P(B) = 0.3
P(C) = 0.5
The investors are equally likely to choose from each portfolio.
Each portfolio has both the stocks and the bonds.
Assuming stock = S and Bond = B.
Then;
P(S|A) = 0.5
P(b|A) = 0.5
P(S|B) = 0.5
P(b|B) = 0.5
P(S|C) = 0.5
P(b|C) = 0.5
[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]
[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]
Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.
Learn more about probability at: https://brainly.com/question/251701
#SPJ5
GIVING BRAIN LIST
Hiroko wants to know how much money students in her school band typically spend on their instruments. She plans to survey a sample of the population. Will each approach result in a sample that is representative of the population? Explain Please! Thank You!
Answer the following 3 questions from a to c.
Thanks Again!
a. Surveying all of the flute players in the band
b. Surveying all band members whose first names start with J or M
c. Surveying two band members from each school in her city
Answer:
Option C would be better than the others.
Step-by-step explanation:
She wants to learn about band members from a sample of the population. Option a isn't enough because flute players aren't the only ones who should be surveyed, she needs to know about all band members. B isn't right, it isn't logical to just survey people with names starting with J or M. So, c would be just right since she's surveying 2 band members from each school so she would get information from a sample of the population and not just from her school.
1. Melany bikes the 5 km to school in 10 minutes. What is her average speed?
Answer:
Your answer would be 30 km/h for her average pace.
Step-by-step explanation:
I filled out info for a pace calculator and this is what the average speed was. Hope this helps and have a nice day.
What is the value of x in the circle to the right?
9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answer:
b
Step-by-step explanation: