Given:
The expression is:
[tex]\log_5(36)-\log_5(9)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_5(36)-\log_5(9)[/tex]
It can be written as:
[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex] [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]
[tex]\log_5(36)-\log_5(9)=\log_54[/tex]
Therefore, the simplified form of the given expression is [tex]\log_54[/tex].
-3
Which expression is equivalent to
21n^-3m^5/3p^-5?
Answer:
IM NOT SURE WHAT
Step-by-step explanation:
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
What's the surface area for all these??
Answer:
the surface area of the square is "378"
Step-by-step explanation:
2×(9×9 + 9×6 + 9×6) = 378
Which one is equivalent? Ez points
Answer: B: -4 by -4 by -4
Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);
4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.
-4 by -4 by -4
The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimeter is 28 inches?
Answer:
Step-by-step explanation:
P=2l+2w
28=2l+2w
2l=2w-28
l = (2w-28)/2
l =2(w-14)/2
l = w-14
Find surface area of right cone with diameter of 12 meters and a slant height of 9 meters
the figure below. help me please
Find the probability of drawing either a Queen or a Heart from a standard deck of cards.
A) 0
B)17/52
C) 1/4
D)4/13
Answer:
17/52 (Answer B)
Step-by-step explanation:
There are four queens and 13 hearts. The probability of drawing a Queen is thus 4/52 (= 1/13); that of drawing a Heart is 13/52 (= 1/4).
The probability of drawing either is 1/13 + 1/4, or 4/52 + 13/52, or 17/52 (Answer B)
whats this shape help I'm struggling
Answer: It is a rectangle.
Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.
Trigonometry help please! Show work thank you !
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.
Why is this problem written as an inequality instead of an equation?
Answer:
Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds
Answer:
Step-by-step explanation:
b/c she doesn't have to have exactly 50 pounds, she can have any were from 0 to 50 pounds in each suit case. They are not going to charge her more, if she only brings 49 pounds :DDDD It's the same charge up to and including 50 pounds. If she brings 51 pounds then maybe she would get charged more :P But not for 50 pounds or less . :) Make sense?
what is the result?? Show explanation.
A. 4⁵
B. 4¹
C. 4-¹
D. 4-⁵
Answer:
4^-5
Step-by-step explanation:
4^-3 = 1/4^3
1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5
What is the value of 8?
Answer:
40320
Step-by-step explanation:
8! is equal to 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 , which equal 40320
Answer:
40320
Step-by-step explanation:
An exclamation point denotes a factorial, so multiply all the numbers less than or equal to 8 until you get to 1
[tex]8*7*6*5*4*3*2*1=40320[/tex]
- True or False: When you multiply fractions, you need common denominators.
True
False
Answer: true
Step-by-step explanation:
Answer:
Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.
HELLPPPP MEEE NEEDD HELP ¶∆¶
Find the RATIO and the EXACT VALUE of the given Cos B.
=================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 5/13
What is the area in square centimeters of the triangle below?
Answer:
45cm2
Step-by-step explanation:
10x7(base x height)=70
70/2=45
what is oral traditions? don’t copy word to word from the internet
Answer:
, hope u understand and happy
Answer:
Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more
Step-by-step explanation:
which inequality is graphed in blue
Please helplpppppp!!
Answer:
D
Step-by-step explanation:
"x" represents the hours.
so 8 is the fee for the hours, rather than insurance.
6 is the insurance fee.
if the cost per hours is doubled, it'll now be 16.
the answer is "6 + 16x" (D)
A pizza has a diameter of 24
in. What is the area of the
pizza with the given diameter?
Show your work
distance between the points (2 , 3) and (7 , 10)
[tex] \sqrt{74} \: units.[/tex]
Step-by-step explanation:
Let (2,3) = (x1 , y1) and (7,10) = (x2 , y2)
By using Distance formula
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] \sqrt{ {(7 - 2)}^{2} + {(10 - 3)}^{2} } [/tex]
[tex] \sqrt{ {5}^{2} + {7}^{2} } [/tex]
[tex] \sqrt{25 + 49} [/tex]
[tex] \sqrt{74} [/tex] units.
please help i keep getting the wrong answers
Answer:
10 inches
Step-by-step explanation:
Surface Area = π R² + π R L [ L is Slant Height ]
200 π = π (10)² + π (10) L
200 π = π (100) + π (10) L
200 π - 100 π = 10 π L
100 π = 10 π L
100 π / 10 π = L
10 = L
L = 10 inches
Hope this Helps......
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Given terms :
Surface area (a) = 200 πradius = 10 inchesNow, we know
[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]
[tex]200\pi = \pi \times 10 \times (10 + l)[/tex][tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex][tex]20 = 10 + l[/tex][tex]l = 10 \: in[/tex](note : " l " represents slant height.)
Therefore, Measure of slant height (l) :
[tex] \huge \boxed{10 \: \: in \: }[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 days
Answer:
Step-by-step explanation:
no of days no of men
30 20
24 20
30/24=x/20
24 x=30*20
24x=600
x=600/24
x=25
therefore 5 more men are needed to complete the work in 24 days
Evaluate √ 20.
A: 4. 47
B: 4
C: 5
D: 10
Answer:
It would be A. 4.47
Plz help me i am stuck
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]
For an impossible event, the possible favorable outcomes is 0. So,
[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]
[tex]P=0[/tex]
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P=1[/tex]
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.
Look at the picture!
Answer:
6 3/8 pounds (also 6.375 pounds)
Step-by-step explanation:
2 2/3 + 1 5/6 + 1 7/8 = x
8/3 + 11/6 + 15/8 = x
(multiply each fraction by to create the denominator 24)
8/3 x 8/8 = 64/24
11/6 x 4/4 = 44/24
15/8 x 3/3 = 45/24
64/24 + 44/24 = 108/24
108/24 + 45/24 = 153/24
153/24 = 6.375 = 6 3/8
please answer these questions. only use the power of one to solve it. if u answer it right il give brainlest and ill make another question which u can get 50 points for free. pls answer no links or random answers.
Answer:
9a) 6 1/5
b) 6 4/7
c) 1 1/0
d) 4 1/8
e) 1 1/3
f) 3 1/6
10a) 15 years old
b) 14 1/6 years old
11) 8/3 = 2 2/3
7/5 = 1 2/5
2 2/3 + 1 2/5 = 4 1/15
12a) They ate 3 11/12 pizzas
b) They ate 1 1/3 more cheese pizzas than veg
A cone has a height of 10 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:[tex]376.80\ mm^3[/tex]
Step-by-step explanation:
Given
The height of the cone is [tex]h=10\ mm[/tex]
The radius of the cone is [tex]r=6\ mm[/tex]
Volume of cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]
Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]
5b^2+39b=8 please solve and explain why
Step-by-step explanation:
5b²+39b=8
<=> 5b²+39b-8=0
(5b-1)(b+8)=0
b = ¹/5 or b = -8
b=-8 and b=1/5.
Answer:
Solution given:
5b²+39b=8
5b²+39b-8=0
try to do middle term factorization.
it needs 40 while multiplication and 39 when subtraction.
it is 40-1 and 40*1
now
doing middle term factorization
5b²+(40-1)b-8=0
5b²+40-b-8=0
take common from each 2 term
5b(b+8)-1(b+8)=0
again take common and keep remaining in another brackets
(b+8)(5b-1)=0
either
b=-8
or
b=1/5
Rewrite the expression in the form y^n
Step-by-step explanation:
y^3/4×y^1/3y(3/4+1/3)y^2/3stay safe healthy and happy.Answer:
y^13/12 or y^1 1/12
Step-by-step explanation:
Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!