Answer:
Step-by-step explanation:
x−log(48)+3(log(2))=
1
3
(log(125))−log(3)
Simplifies to:
x−0.778151=0.221849
Let's solve your equation step-by-step.
x−0.778151=0.221849
Step 1: Add 0.778151 to both sides.
x−0.778151+0.778151=0.221849+0.778151
x=1
Answer:
x=1
Rewrite as a simplified fraction .16 repeating
Answer:
1/6
Step-by-step explanation:
10x = 1.6666....
100x =16.6666...
90x = 16.6666... - 1.6666...
90x = 15
x = 15/90
x = 1/6
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
I’ll mark brainliest please help me
Answer:
[tex]area \: = \frac{165}{360} \times \pi {8}^{2} \\ = 92.1533845053 \\ = 92 \: in^{2} [/tex]
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]
what is the vertex of y=x²+14x-9
What is the complementary number of 16
I
Answer:
2
Step-by-step explanation:
6x+3y=24
3x-4y=-21
What is the solution of system of equations
Answer:
i don't know if it is correct or not, sorry if i were mistaken
The value of x and y for the given system of equations is 1 and 6 respectively.
What is system of equations?
A system of equations is a collection of two or more equations with a same set of unknown variables.
What is solution to the system of equation?A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
What is substitution method?The substitution method is a method to solve simultaneous linear equations. In which the value of one variable from one equation is substituted in the other equation.
According to the given question
we have a system of equations
[tex]6x + 3y = 24..(i)[/tex]
and, [tex]3x -4y = -21..(ii)[/tex]
From equation (i)
[tex]6x + 3y = 24[/tex]
⇒ [tex]2x + y = 8[/tex]
⇒ [tex]y = 8-2x[/tex]
Substitute the value of y in equation (ii)
⇒[tex]3x - 4(8-2x)=-21[/tex]
⇒[tex]3x-32+8x =-21[/tex]
⇒[tex]11x = 32-21[/tex]
⇒[tex]11x = 11[/tex]
⇒ [tex]x =1[/tex]
Substitute, x = 1 in either the equations (i) and (ii)
⇒[tex]3(1)-4y =-21[/tex]
⇒[tex]3 -4y=-21[/tex]
⇒[tex]-4y = -21-3[/tex]
⇒-4y = -24
⇒[tex]y =6[/tex]
Hence, the value of x and y for the given system of equations is 1 and 6 respectively.
Learn more about the substitution method here:
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What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020
Answer:
5.291 * 10^4
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The following functions give the populations of four towns with time tt in years.
(i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?
Solution :
Transforming given equations :
[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]
From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .
Hence, this is the required solution.
Answer: (i), 12%
Step-by-step explanation:
Given
The Population of four towns is given
(i) [tex]P=600(1.12)^t[/tex] i.e.
[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]
rate=12%
(ii) [tex]P=1000(1.03)^t[/tex]
[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]
rate=3%
(iii) [tex]P=200(1.08)^t[/tex]
[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]
rate=8%
(iv) [tex]P=900(0.90)^t[/tex]
[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]
rate=10% fall
So, the largest growth rate is for town (i) i.e. 12%
The domain of a function is what?
The domain is all possible x values, specified for that function.
PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ
Answer:
PT = 12 units
Step-by-step explanation:
Given that,
PT=3x+3 and TQ=6x-6
T is the midpoint of PQ.
If T is mindpoint of PQ, it means,
PT = TQ
Substitute all the values,
3x+3 = 6x-6
Taking like terms together,
3x-6x = -6-3
-3x = -9
x = 3
So,
PT = 3x+3
= 3(3) + 3
= 9+3
= 12
So, the value of PT is equal to 12 units.
Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4
Answer:
a. For Asset 1, we have:
Total cost = $5,864
Total depreciation = $5,264
Annual depreciation = $877.33
b. For Asset 2, we have:
Total cost = $17,210
Total depreciation = $15,310
Annual depreciation = $3,827.50
Step-by-step explanation:
Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.
Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).
The explanation of the answers is now given as follow:
Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.
Therefore, wee have:
a. For Asset 1, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864
Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264
Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33
b. For Asset 2, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210
Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310
Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
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help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18
In the circle below, the measure of arc QT is 50 and the measure of angle P is 55,
What is the measure of arc RS?
Answer:
C. 160degrees
Step-by-step explanation:
Find the diagram attached
From the diagram;
<P = 1/2(arcRS - arcQT)
Given the following
arcQT = 50degrees
<P = 55 degrees
Required
arcRS
55 = 1/2(arcRS - 50)
2*55 = arcRS - 50
110 = arcRS - 50
arcRS = 110 + 50
arcRS = 160degrees
Hence the measure of arcRS is 160degrees
Identify the location of the point (-3, -2).
WILL MARK YOU IF YOU CAN HELP ME
Answer:
x= 62
first take linear pair angle with any line then once again with x then you're done
Answer:
x value is 62 degree
because they are vertically opposite angles
Which number is not in scientific notation? I need To know ASAP!!!!
Answer:
The first one.
Step-by-step explanation:
The correct scientific notation for the first option would make it a decimal (1.1), so it is not in the correct scientific notation.
for what values of x are these functions defined x - 1
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
What is the distance of -55 from zero?
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
the answer is 16.0 or 11.0
If A = {x x is an even integer), B = {xx is an odd integer), C = {2, 3, 4, 5), and D = {8, 9, 10, 11), list the element(s) of the following set.
AND
An D= { } (Use a comma to separate elements in the set.)
Answer:
AnD = {8,10}
Step-by-step explanation:
A = {2, 4, 6, 8 ,10 ...}
B = {1, 3, 5, 7 ,9 ...}
C = {,2 ,3 ,4 ,5 ...}
D = { 8, 9 ,10 ,11 ...}
AnD = {8, 10}
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
Find the value of x to the nearest tenth
Answer:
a^2+b^2=c^2
6^2+6^2=72
square root of 72
=8.49(3sf)
c^2-b^2=a^2
=3
x=3
answer : 3
step by step:
this may seem hard but it is easy.
the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:
name the hypotenuse x
then write the equation
x^2= 6^2 + 6^2
x^2= 72
take both the square root of them
x = 8.5
next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x
first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:
x^2 = 9^2 - 8.5^2
x^2 = 8.75
take square root of both
x = 3
Eric borrowed a total of $3000 from two student loans. One loan charged 4% simple interest and the other charged 3.5% simple
interest, both payable after graduation. If the interest he owed after 2 years was $215, determine the amount of principal for each
loan.
Answer:
$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
Step-by-step explanation:
Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:
4 x 2 = 8
3.5 x 2 = 7
1500 x 0.08 + 1500 x 0.07 = 225
1400 x 0.08 + 1600 x 0.07 = 224
100 x 0.08 + 2900 x 0.07 = 211
500 x 0.08 + 2500 x 0.07 = 215
Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
Please help please and thanks
What is one way to determine if two fractions are equivalent?
Answer
Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.
