4 is the value of log₃ 81.
We have,
A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The equation may be changed to read:
x = log base 3 of 81.
81 being equivalent to 3 to the power of 4, we get the following:
x Equals log base 3 of 34.
We may reduce this to: Applying the rule that log base an of ab = b
4 = x
By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b, 4 = x.
Hence, x = 4.
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What is the value of the expression below when a = -2, b = 3, C = -5
[a– 2ac + 56]
Answer:
34
Step-by-step explanation:
plug the coefficients in the equation, so
-2-2(-2)(-5)+56
Distribute the -2(-2)(-5), so it equals -20
so the equation is -2-20+56
add -20+56, so -2+36
-2+36=34
34 is your answer
13 ft
8 ft
Jjjjjjjjjjjjj
Answer: if it is area 108ft2
Step-by-step explanation:
I'm sorry but I dont know what your question is.60 gallons = ______liters
Round to the nearest tenth of a liter
Answer:
228 liters
Step-by-step explanation:
Answer:
227.1 liters
Step-by-step explanation:
GUYS I NEED HELP PLEASE 20 POINTS ASAP
Answer:
58.28 Sq in
Step-by-step explanation:
Area of the composite figure
=Area of trapezoid + Area of semicircle
[tex] = \frac{1}{2} (15 + 11) \times 4 +\frac{1}{2} \times 3.14\times 2^2 \\ \\ = 26 \times 2+6.28 \\ \\ = 52+6.28=58.28 \: {in}^{2} [/tex]
Camille's birthday party will cost $32 if she invites 16 guests. How many guests can there be, at most, if Camille can afford to spend a total of $48 on her birthday party? Assume the relationship is directly proportional.
Answer: 24
Step-by-step explanation:
32/16=2 so it cost 2 per guest.
48/2= 24 guests
PLZZ help me !funurn
Answer:
12/25
Step-by-step explanation:
Help. It’s like 10 points.
Answer:
Step-by-step explanation:
Step 1. It should say that 9 squared + b squared equals 15 squared, where 15 should be c since it’s the hypotenuse.
Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
Answer:y=2x+8
Step-by-step explanation:
6. Devon draws one marble from
a bag containing 5 red, 3 green,
and 4 yellow marbles. What is the
probability that Devon draws a
green marble?
Answer: Probability: 3/12 or 1/4
Step-by-step explanation:
Rearrange the following formula to make c the subject.
a= b/c + 5
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2a + 2c = 5a - 5b
recopilar términos ligeros.
toma 2a en el otro lado
2c = 5a -2a-5b
2c = 3a - 5b
divide 2c's 2 en ambos lados
y
c = (3a - 5b) / 2
dar un más inteligente por favor. tnx que tengas un buen día.
Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"?
Answer:
y^2-(28/7)
or, y^2-(4)
I need help can you?
Answer:
Step-by-step explanation:
Statements Reasons
1). m∠QPS = m∠TPV 1). Given
2). m∠QPS = m∠1 + m∠3 2). Angle addition postulate
m∠TPV = m∠2 + m∠4
3). m∠1 + m∠3 = m∠2 + m∠4 3). Given
4). m∠1 = m∠2 4). Given
5). m∠1 + m∠3 = m∠2 + m∠4 5). Subtraction property
m∠3 = m∠4
Algebraically solve the following system of equations. Show all of your work.
2x+5y=3
3x-2y=14
Answer:
x=−5/2 y+ 3/2
Step-by-step explanation:
Let's solve for x.
2x+5y=3
Step 1: Add -5y to both sides.
2x+5y+−5y=3+−5y
2x=−5y+3
Step 2: Divide both sides by 2.
2x/2
=
−5y+3
2x=
−5y+ 3/2
Answer:
x=−5/2 y+ 3/2
Answer:
x =4 , y = -1
Step-by-step explanation:
I used substitution method.
Hope I was able to help . Good luck!
How can Adam figure out the height of the light pole?
Please Help
Answer:
By using a yard stick taped together maybe
Step-by-step explanation:
i need help, can someone please help!
Answer:
(25 x 3) - 14 = 61!
Step-by-step explanation:
Someone help with this if you can
Answer:
z=74
x=15
Step-by-step explanation:
74+8x-14=180
step 1 combine like terms
60+8x=180
step 2 subtract each side by 60
8x=120
step 3 divide each side by 8
x=15
Answer:
z=74
x=15
Step-by-step explanation:
z=74 because vertical angles are the same
you have to add the z and 8x-14 and set it equal to 180 because the angles at supplementary
—3х - 7y = 5
—3х + 7y = -9. Someone help me please with this
Answer:
Step-by-step explanation:
Add them together
-6x = -4
X = 4/6 y = -1
Answer:(x,y)=(23/6,-5/14)
Step-by-step explanation:
I used an app so dont get mad if its wrong
Helppp plzzz I will mark brainliestttt
Answer:
5050550
Step-by-step explanation:
Please help me with this sheet asap!!!!b
Step-by-step explanation:
1)
SA= 2 (Length x Breadth + breadth x height + Length x height)
SA= 2(2*5+5*6+6*2)=2(10+30+12)=104cm^2
2)
2(3*4+4*5+5*3)= 2(12+20+15)=94cm^2
3)
2(7*9+9*12+12*7)=2(63+108+84)= 510cm^2
4)
SA=
[tex]A=2πrh+2π {r}^{2}
[tex]A=2πrh+2π {r}^{2} [/tex]
= 2π 6*5+2π6*6= 188.495+226.194
SA= 414.689 cm^2
5)
2π7*4+2π*4*4=
SA=276.46 cm^2
6)
2π6*4+2π*4*4=
SA= 251.33 cm^2
7)
(3*4)/2=6
(3*4)/2=6
(3*8)=24
4*8=32
8*5=40
SA =6+6+24+32+40=108 cm^2
8)
(6*8)/2=24
(6*8)/2=24
6*12=72
8*12=96
10*12=120
SA= 24+24+72+96+120= 336 cm^2
9)
(5*12)/2=30
(5*12)/2=30
5*8=40
12*8=96
13*8=104
SA= 30+30+40+96+104= 300 cm^2
Can somebody help me?
Answer:
The last two
Step-by-step explanation:
x= 0.6·25
60/100= x/25
ILL MARK U BRAINLIEST HELP!!!
Answer: x= 14
Step-by-step explanation: look at transversal ED. Angle E and angle D are alternate interior angles of this transversal. Alternate interior angles are equal. Now we need to find angle measure of D to solve. The triangle angle sum theorem states that all interior angles of a triangle sum to 180 degrees. 50+ 48 + D =180.
Measure of angle D is 82. Now that we have the two alternate interior angles, we set them equal to each other to solve.
6x-2= 82. Add 2 to both sides. 6x = 84. Divide both sides by 6. X =14
please help and show work
Step-by-step explanation:
11.
tan 30 = perpendicular / base = x/ 7
1/√3 = x/7
X= 7/√3
2.
cos 30 = 7/y
√3/2 = 7/y
y = 7×2/ √3
y= 14/√3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you ☺️.
How much greater is the perimeter of a triangular field with sides that measure 92 yards, 83 yards, and 99 yards than the perimeter of a triangular field with sides that measure 61 yards, 38 yards, and 83 yards?
Answer:
92 yards
Step-by-step explanation:
Perimeter of a triangle = a + b + c
Field 1 :
Perimeter = (92 + 83 + 99) yards = 274 yards
Field 2:
Perimeter = (61 + 38 + 83) yards = 182 yards
Perimeter difference :
Field 1 - Field 2
(274 - 182) yards
= 92 yards
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
They have a Highest Common Factor (HCF) of 28
Work out what the two numbers are.
Answer:
84 and 140
Step-by-step explanation:
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
Factors of 420 between 50 to 150
= 60, 70, 84, 105, 140
We are also told that:
They have a Highest Common Factor (HCF) of 28
Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.
60/28 = 2.1428571429
70/28 = 2.5
84/28 = 3
105/28 = 3.75
140/28 = 5
Therefore, the two numbers are
84 and 140
help..... simply this fraction
[tex] \frac{22}{40} [/tex]
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
11/20
Decimal Form:
0.55
22/40
Factor 2 out of 22.
2(11)/40
Cancel the common factors.
Tap for more steps...
11/20
The result can be shown in multiple forms.
Exact Form:
11/20
Decimal Form:0.55
Step-by-step explanation:
Hope it is helpful....
help .... me .... asap ....
9514 1404 393
Answer:
x = 58
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
(160° -x°)/2 = 51°
160 -102 = x = 58
The difference between half of a certain number and seven is the same as with adding two to that number...Find the number
Answer:
x = - 18
Step-by-step explanation:
Let certain number = x
The difference between half of a certain number and seven
x/2 - 7
is the same as
=
with adding two to that number
x + 2
Find the number
x/2 - 7 = x + 2
x - x/2 = - 7 - 2
( 2x - x ) / 2 = -9
2x - x = -18
x = - 18
4(x + 2) - 1/2x = 22 solve the equation
Answer:
x=4
Step-by-step explanation:
Answer:
[tex]x_{1} = \frac{7 - \sqrt{51} }{4} , x_{2} = \frac{7 + \sqrt{51} }{4} [/tex]
Step-by-step explanation:
attachment.
The perimeter of a regular nonagon is 324 cm. Find the length of each side.
A 37
B 27
C 46.3
D 29.5
Answer:
C
the answer is c I have done this before
please help, asap thank you!
Answer:
A)
[tex]\sqrt{290}\approx 17.0\text{ units}[/tex]
B)
[tex]\sqrt{53}\approx7.3\text{ units}[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Problem 1)
We have the two points (-4, 5) and (7, 18).
Let (-4, 5) be (x₁, y₁) and let (7, 18) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(7-(-4))^2+(18-5)^2}[/tex]
Evaluate:
[tex]\begin{aligned}d&=\sqrt{(11)^2+(13)^2}\\&=\sqrt{121+169}\\&=\sqrt{290}\approx17.0\end{aligned}[/tex]
Problem 2)
We have the two points (-2, -3) and (-4, 4).
Similarly, we will let (-2, -3) be (x₁, y₁) and (-4, 4) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(-4-(-2))^2+(4-(-3))^2[/tex]
Evaluate:
[tex]\begin{aligned}d&=\sqrt{(-2)^2+(7)^2}\\&=\sqrt{4+49}\\&=\sqrt{53}\approx7.3\end{aligned}[/tex]