The solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
It is given that:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
It is required to find the value of 't'.
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]a^b=c\\log_ac=b[/tex]
We have:
[tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm (Taking \ log_1_0 \ base \ and \ removing \ the \ log_1_0 \ from \ both \ the\ side)[/tex]
We will get:
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Therefore the solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
Learn more about the Logarithm here.
https://brainly.com/question/163125
Mr. Calles collects football memorabilia of his favorite teams. He collects Rams, 49ers, and Chargers mementos. The number of Rams items he has is four more than the number of Chargers items. The number of 49ers items is twice the number of Rams items. Altogether, he has 48 items. How many items from each team does he have.
Answer:
lift
Step-by-step explanation:
your head up
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
Answer: 3
Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3
Find the sum of the geometric series 128 - 64 + 32 – ... - 1.
Step-by-step explanation:
this sequence has 8 terms and the common ratio or multiplication factor is -1/2.
we could add these 8 numbers manually or use the formula :
Sn = a1(1 - r^n)/(1 - n)
when r < 1 (like in our case -1/2).
S8 = 128(1 - (-1/2)⁸)/(1 - -1/2) =
= 128(1 - 1/256)/(3/2) = (128×255/256)/(3/2) =
= (255/2)/(3/2) = 255/2 × 2/3 = 255/3 = 85
Please help me fast :((
Image attached. Please solve all leters and tell me if it's Irrational, Rational Integer, Whole, or Natural
Answer:
A is rational
B is irrational
C is integer
D is whole
E is rational
F is rational
G is rational
H is irrational
I is whole
J is whole
Step-by-step explanation:
hope this helped! i am not 100% sure this is right but i think it might be.
p.s it would be cool if you gave me brainliest.
Captain Perguin bought 150 crackers for his pet parrot. He ate 10% of them himself. How many crackers did Captain Perguin eat?
Answer:
15
Step-by-step explanation:
divide it by 10 or move the decimal point one place to the left.
so 150. would be 15.0 making it 15
SOMEONE HELP PLEASE 7TH GRADEEEEEEEEEEEEEEEEE
Which inequality is true?
O A. > 1
O B. 51> 15
O C. 41-2<10
O D. 17+ 9 < 12
Answer:
B
Step-by-step explanation:
51 is larger than 15.
Hope this helps.
Answer:
bobux
Step-by-step explanation:
yes because are
Find the missing length. Leave your answer as radical in simplest form
Answer:
v = [tex]\frac{7\sqrt{2} }{2}[/tex]
u = [tex]7[/tex]
Step-by-step explanation:
First, the angle on the far left is also 45 degrees.
So, v is equal to [tex]\frac{7\sqrt{2} }{2}[/tex] because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.
However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by [tex]\sqrt{2}[/tex].
So, [tex]\frac{7\sqrt{2}}{2}*\sqrt{2}[/tex] is equal to:
[tex]7[/tex]
Hope this helps!
The semester fee for an accounting course has been
increased from $3600 to $ 4500. Find the percentage
increase in the fee per semester.
Answer:
I believe it is a 25% increase
Answer:
11.1111% increase fee for an accounting course,
5.55555% per each semester.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x)=6x-4,f(x)=6x−4, where xx is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.
Answer and explanation:
Find answer and explanation attached
help please i don’t understand and this is do today :/!!
Answer:
18.4
Step-by-step explanation:
the angle is what u are to find, using the trig function Tan.
Pls answer the question attached.
I WILL MARK U BRAINLIST
To simplify, we multiply each single one in the first bracket with both in the second bracket :
[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]
(show ur work btw) Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:
Answer
18,080
Explantion
400x10=4000x4=16000
400x5=2000
2000+16000=18000
400×.2=80
cause 20% of 400 is 80
so total is 18,080
It is estimated that there are 1.2 x 10^57 atoms in the Sun. The number of atoms in the rest of the Solar System is
approximately 1.2 x 10^56 About how many more atoms exist in the Sun than in the rest of the Solar system. ( complete answer in scientific notation
Answer:
56*56
Step-by-step explanation:
The 56*56 is divided by the same option in the 57
−2w + 6 = 14w = What does w =
select the correct equation rule
Replace x in the equation and see which one equals the y values:
The answer is f(x) = 2x - 1
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answer:
1 solution
(3, 4)
Step-by-step explanation:
The pair of equations for lines A and B have 1 solution because there is one point of intersection.
The point of intersection is (3, 4), therefore this is the solution.
Answer:
3,4
Step-by-step explanation:
Plssssssssssss help me
Answer:
I believe it is D
Step-by-step explanation:
what is 2 less than the square of a number in an algebraic expression
Step-by-step explanation:
let the unknown square = X
therefore
X^2 >2
-0.05 divided by -5/8
Answer:
0.00125
Step-by-step explanation:
50 POINTS FOR CORRECT AWNSER
Answer:
[tex]\sf y \leq \dfrac34x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (4, 3)
Let [tex]\sf (x_1,y_1)=(0,0)[/tex]Let [tex]\sf (x_2,y_2)=(4,3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-0}{4-0}=\dfrac34[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=\dfrac34(x-0)[/tex]
[tex]\implies \sf y=\dfrac34x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is solid, and the shading is below the line,
[tex]\implies \sf y \leq \dfrac34x[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{6+3}{8+4}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y+3=3/4(x+4)[/tex]
[tex]\\ \tt\Rrightarrow y+3=3/4x+3[/tex]
[tex]\\ \tt\Rrightarrow y=3/4x[/tex]
equation of shaded region
[tex]\\ \tt\Rrightarrow y\leqslant 3/4x[/tex]
Look at all three circles below. All circles have the same pattern. What number should replace the question mark?
simplify: 1 2/3 - 1/4
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3}-\frac{1}{4}[/tex]
[tex]\mathrm{Subtract\;Whole\;Number}[/tex]
[tex]1-0=1[/tex]
[tex]\mathrm{Combine\;fraction}[/tex]
[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]
[tex]=1+\frac{5}{12}[/tex]
[tex]=1\frac{5}{12}[/tex]
Hence, the answer is 1 5/12
~Lenvy~
1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate
⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]
2. Now lets the change the base of both fractions into a common denominator and solve
⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]
Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]
Hope that helps!
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answer:
f(g(x))=9-x-[tex]x^{2}[/tex]
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=[tex]x^{2}[/tex] +x
here,.
fog
=f(g(x))
=f([tex]x^{2}[/tex] +x)
=9-([tex]x^{2}[/tex] +x)
=9-[tex]x^{2}[/tex] -x
=9-x-[tex]x^{2}[/tex]
what is the volume of a 6 by 8 cone?
Answer:
301.7 cm
Step-by-step explanation:
Given,
Height of cone (h)=8cm
base radius (r)=6cm
Volume of the cone (V)=
3
1
πr
2
h
=
3
1
×
7
22
×6×6×8
=
7
2112
=301.7cm
3
Hence, volume of the cone =301.7cm
3
Answer:
402.1402.1 cm
Step-by-step explanation
height = 6cm
Radius= 8cm
If 3x² is the length of a rectangle and the area is 12x^4 + 27x², what must be the width?
Answer:
4x^(2)+9
Step-by-step explanation:
A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of X?
Answer:
x = 5 units
Step-by-step explanation:
Hello!
We know that the area of a rectangle is the length multiplied by the width.
We can simply create an expression to solve for x.
Solve:
Area = length x width108 = 6(2x + 8)108 = 12x + 4860 = 12xx = 5The value of x is 5 units.
The recursive rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(1)=33, f(n)=f(n-1)+1;38
The term 38 is the BLANK th term
Answer:
6th term
Step-by-step explanation
What is the square root of ab2?
ab
ba
a²b2
B2
Answer:
If you mean [tex]\sqrt{ab^{2}[/tex] then the answer is [tex]b\sqrt{a}[/tex]
Step-by-step explanation:
Answer:
ab
Step-by-step explanation:
Original expression:
[tex]\sqrt[]{(ab)^2}[/tex]
Apply the rule [tex](xy)^c=x^c \cdot y^c[/tex]
[tex]\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}[/tex]
Apply the rule [tex]\sqrt{xy}=\sqrt{x} \sqrt{y}[/tex]
[tex]\implies \sqrt[]{a^2 \cdot b^2}=\sqrt{a^2} \sqrt{b^2}[/tex]
Apply the rule [tex]\sqrt{x^2}=x[/tex]
[tex]\implies \sqrt{a^2} \sqrt{b^2}=ab[/tex]
How do you solve? Show your work.
-14 - 6x = x + 7
Answer:
−
6
−
1
4
=
+
7
-6x-14=x+7
−6x−14=x+7
−
6
−
1
4
+
1
4
=
+
7
+
1
4
Add the numbers
Add the numbers
again
−
6
=
+
2
1
Subtract
x
x
from both sides of the equation
−
6
=
+
2
1
-6x=x+21
−6x=x+21
−
6
−
=
+
2
1
−
Simplify
Combine like terms
Combine like terms
again
−
7
=
2
1 the answer is=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-14-6x=x+7
-14-6x+14=x+7+14
-6x=x+21
-6x-x=x+21-x
-7x=21
\frac{-7x}{-7}=\frac{21}{-7}
x=-3