Step-by-step explanation:
did you meant 6log_10? *text because it need to be 20 characters*
Answer:
18log_5x
Step-by-step explanation:
log(a^b) = b·log(a)
6log_(5)x^(3) =
6(3log_5x)
18log_5x
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MR X was at the crown of the statue of liberty in an island of New York City. He sighted a cargo ship coming into New York harbor with an angle of depression 35 degree. How far is the cargo ship from the base of the statue of liberty
Answer:
d = h/1.43
Step-by-step explanation:
Given
Angle of depression = 35°To Find
Distance between cargo ship and base of The Statue of LibertySolving
Let the height of the statue be 'h' and distance between it and the ship be 'd'Upon changing the viewpoint (you'll see why) to the ship viewing the top of the statue, the angle is now (90 - 35)° = 55°Then, upon taking the tan ratio of the angle between them :⇒ tan 55° = h/d
⇒ 1.43 (approx.) = h/d
⇒ d = h/1.43
[∴ Input the value of height in this formula if it is given, and you should be able to get your answer.]
An inequality is shown.
Select all the values of that make the inequality true.
Answer:
2/5
1
3/2
Step-by-step explanation:
Note that:
> = Greater than
< = Less than
≤ = Less than or equal to
≥ = Greater than or equal to
Solution:
Since it given that 27/7n > 4/3
It means that
27/7n is greater than 4/3.
Now going through all answer chioces:
-----------------------------------------------------------------------------------------------------------
27/7(2/5) = 1 19/35
1 19/35 is greater than 4/3
Thus, 2/5 is true.
-----------------------------------------------------------------------------------------------------------
27/7(1/3) = 1 2/7
1 2/7 isn't greater than 4/3
Thus, 1/3 is false.
-----------------------------------------------------------------------------------------------------------
27/7(1) = 3 6/7
3 6/7 is greater than 4/3
Thus, 1 is true.
-----------------------------------------------------------------------------------------------------------
27/7(2/9) = 6/7
6/7 isn't greater than 4/3
Thus, 2/9 is false.
-----------------------------------------------------------------------------------------------------------
27/7(3/2)=5 11/14
5 11/14 is greater than 4/3
Thus, 3/2 is true.
-----------------------------------------------------------------------------------------------------------
[RevyBreeze]
The diameter of a cylindrical construction pipe is 5 ft. If the pipe is 25 ft long, what is its volume?
Answer:
490.87 ft^3.
Step-by-step explanation:
Radius = 1/2 * 5 = 2.5 ft.
Volume = π r^2 L
= π*2.5^2*25
= 490.87 ft^3
If the sum of a number and four is tripled the result is eight less than twice the number
Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
Answer:
- 20
Step-by-step explanation:
if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8
x = -20
simplify 15a+21b-6a-4
Answer:
9a+21b-4
Step-by-step explanation:
first of all combine the like terms
15a + 21b - 6a - 4
= 9a + 21b - 4 Ans.
The simplified expression of 15a+21b-6a-4 is 9a+21b-4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 15a+21b-6a-4
Fifteen times of a plus twenty one times of b minus six times of a minus four.
a and b are the variables and plus, minus are the operators
Add the like terms in the expression
15a-6a+21b-4
Fifteen times of a and minus six times of a are the like terms.
So add these like terms.
When 15 and -6 are added we get 9
So the expression becomes as Nine times of a plus twenty one times of b minus four.
9a+21b-4
Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4
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Total price: The sales tax is 4.25% and the sales tax is $17.55, what is the purchase price? (Round to the nearest cent)
The purchase price is ________
The total price is__________ (Round to the nearest cent)
Answer:
Purchase price = $412.94 (nearest cent)
Total price = $430.49 (nearest cent)
Step-by-step explanation:
Purchase price
If 4.25% = $17.55
⇒ 100% = (17.55 ÷ 4.25) × 100 = 412.9411765...
⇒ Purchase price = $412.94 (nearest cent)
Total price
total price = purchase price + sales tax
= $412.94 + $17.55
= $430.49
So let the original price be x
4.25% of x=17.550.0425x=17.55x=17.55÷0.0425$412.94Total price:-
412.94+17.55$430.49Given f(X)= x+3/x^2+2x-3 and g(x)=log4X, evaluate (g-f)(2)
Answer:
-1/2 is correct
Step-by-step explanation:
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]. To evaluate the expression (g - f)(2), you need to first find the values of g(2) and f(2), and then subtract f(2) from g(2).
Given:
[tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \) \\ \( g(x) = \log_4(x) \)[/tex]
Let's start by calculating the values of f(2) and g(2): 1. [tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \)[/tex]
Substitute (x = 2): [tex]\( f(2) = \frac{2 + 3}{2^2 + 2 \cdot 2 - 3} = \frac{5}{7} \)[/tex]
2. [tex]\( g(x) = \log_4(x) \)[/tex] Substitute ( x = 2): [tex]\( g(2) = \log_4(2) \)[/tex]
Now, evaluate the expression [tex]\( (g - f)(2) \):[/tex]
[tex]\( (g - f)(2) = g(2) - f(2) = \log_4(2) - \frac{5}{7} \)[/tex]
To determine which option matches this value, calculate [tex]\( \log_4(2)[/tex]) and subtract [tex]\( \frac{5}{7} \)[/tex] from it.
Approximately,[tex]\( \log_4(2) \)[/tex] is around 0.5.
So, [tex]\( (g - f)(2) \approx 0.5 - \frac{5}{7} \)[/tex]. To compare this result with the options provided, convert the fractions to a common denominator:
[tex]\( \frac{5}{7} = \frac{35}{49} \)[/tex]. So, [tex]\( (g - f)(2) \approx 0.5 - \frac{35}{49} \)[/tex].
Now, simplify the subtraction: [tex]\( 0.5 - \frac{35}{49} = \frac{24}{49} \)[/tex]
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]
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a box is filled with 18 unit cubes what is the volume
Answer:
58
Step-by-step explanation:
hope this helps
Answer:
I believe 58
Step-by-step explanation:
You deposit $150 each month into an account earning 3% interest compounded monthly.
a. How much will you have in the account in 30 years?
b. How much total money will you put into the account?
c. How much total interest will you earn?
Answer:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2
\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2
Now substitute the point (-7, 5) into the equation to find r²:
\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2
\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2
\sf \implies 149=r^2⟹149=r2
Final equation:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
The balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for the future value of an annuity to answer these questions:
FV = PMT(((1 + r)ⁿ - 1) / r)
a. To find how much will be in the account in 30 years, we need to calculate the future value of the annuity after 30 years of monthly deposits.
There are 12 months in a year, the number of months is:
n = 30 years × 12 months/year = 360 months
The monthly interest rate is:
r = 3% / 12 = 0.0025
Substituting the given values into the formula, we get:
FV = $150 × (((1 + 0.0025)³⁶⁰ - 1) / 0.0025)
= $91,745.06
b. To find the total amount of money put into the account, we need to multiply the monthly payment by the number of months:
Total amount = $150/month × 360 months
= $54,000
c. To find the total interest earned, we need to subtract the total amount of money put into the account from the future value of the annuity:
Total interest = $91,745.06 - $54,000
= $37,745.06
Therefore, the balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
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Select the correct answer.
Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize this
inflow of cash?
A non-operating activities
B. investing activities
C. operating activities
D. financing activities
Answer:
B. -- investing activities
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
A ladder 15 feet long is leaning against a house. The base of the ladder is pulled
away from the wall at a rate of 5 ft/sec. How fast is the top of the ladder moving
down the wall when its base is 1 feet from the wall? Round your answer to two
decimal places.
Answer:
it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
Step-by-step explanation:
In this problem. We have a ladder that's leaning against the wall of a building. KR ladder is 13 feet long. Okay, I'm going to go ahead and label that l for ladder. You see, we form a right triangle here. I'm gonna label the horizontal acts and the vertical. Why? We are told that the bottom of the ladder is moving away from the building at a rate off 0.5 feet per second. So that's DX DT. Secret will 0.5 feet per second. What we're trying to find is how quickly the top of the ladder is moving down the wall when the base of the ladder is five feet from the wall. Okay, so the point where X is five feet, we want to know how quickly the latter is moving down the wall. So we have a Pythagorean theorem here. X squared plus y squared is equal to elsewhere. I want to go ahead and substitute in 13 for L. Because that is constant. It's not going to change so we can go ahead and put in 13. I want to take the derivative of both sides with respect to t. I'm gonna have to X dx DT plus two. Why d y d t and that's going to be equal to will. The derivative of a constant is just zero. Now I'm gonna substitute in what? We know. I have a two here. I know. Access five. I knew. Know that DX DT is 0.5. I do not know why at this point, OK, But I know I'm trying to solve for d y t t. So I'm gonna go have put that in there. So off to the side. I have to figure out what? Why is well using my migrant there? I'm here. I know access five I'm solving for why? And I know l is 13. So why squared is going to be equal to 13 squared minus five squared, which is 144. Why is equal to 12 so I can go ahead and put 12 in here going to calculate this out? This is gonna be five plus 24 d Y d t is equal to zero. 24 d Y d t is going to be equal to negative five, so it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
The top of the ladder moving down the wall when its base is 1 feet from the wall is 6.86 ft per second.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the base of the ladder is pulled away from the wall at a rate of 5 feet per second when its base is 1 feet from the wall. Then the time will be;
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall;
L² = 25² - 7²
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
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José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?
Answer:
Definitely not
Step-by-step explanation:
60*45 = 2700 and 2700 square inches converted into feet is 225 square feet
Fill in the blanks to complete the equation that describes the diagram.
Answer:
-3+-3=-6
Step-by-step explanation:
start from the right go to the left.
+- = a negative gain
Please factorise 14cd – 7c
Answer:
7c (2d - 1)
Step-by-step explanation:
Common factorization
Answer:
[tex]\bold{ 7c(2d - 1)}[/tex]
Step-by-step explanation:
[tex]\sf \rightarrow 14cd - 7(c)[/tex]
take 7(c) as common factor
[tex]\sf \rightarrow 7c(2d - 1)[/tex]
factorised
[tex]\sf 7 c(2d - 1)[/tex]
help asap will give brainly .
A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height =
solve for x ~
[tex]32x - 16 +48 = 0[/tex]
thankyou ~
Answer:
[tex]\boxed{ \bold{x = -1 }}[/tex]
Explanation:
[tex]\rightarrow \sf 32x-16+48=0[/tex]
simplify
[tex]\rightarrow \sf 32x+32=0[/tex]
subtract both sides by 32
[tex]\rightarrow \sf 32x+32-32=0-32[/tex]
simplify
[tex]\rightarrow \sf 32x=-32[/tex]
divide both sides by 32
[tex]\rightarrow \sf \frac{32x}{32} =\frac{-32}{32}[/tex]
final answer
[tex]\rightarrow \sf x=-1[/tex]
[tex]32x - 16 + 48 = 0 \\ 32x - 16 = - 48 \\ 32x = 16 - 48 \\ 32x = - 32 \\ x = - \frac{32}{32} \\ x = - 1[/tex]
x = -1
Q9.
Solve the simultaneous equations
7x – 2y = 34
3x + 5y = -3
Show clear algebraic working.
After solving simultaneously we found the values for x and y are
2.76 and 5.65 respectively
Simultaneous EquationsWe have the following two expressions
7x – 2y = 34 --------1
3x + 5y = -3 ---------2
Multiply 1 by eqn 5 and eqn 2 by 2
35x - 10y = 170-------3
6x + 10y = -6 ----------4
subtracting 4 from 3 we have
29 x= 164
divide both sides by 29
x = 164/29
x = 5.65
Put x = 5.65 in eqn 1 to find y
7*5.65 – 2y = 34
39.55 - 2y = 34
39.55-34 = 2y
5.55 = 2y
divide both sides by 2
x = 5.55/2
x = 2.76
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Número 15 veces más pequeño que 86400 segundos
Porfa ayuda q estoy en clase
Answer:
15÷86400=???×86400
Step-by-step explanation:
O 15 sendo dividido pelo 86400 dará o resultado e multiplicando o resultado com 86400
The area of the circle
Answer:
The answer would be 201.06
Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!
Answer:
200.96 mi²
Step-by-step explanation:
Before, finding the area of the circle, first, let us find the radius.
Given that,
diameter ( d ) ⇒ 16 mi
Let us use the below formula to find the radius of the circle.
d = 2r
16 = 2r
Divide both sides by 2.
8 mi = r
And let us find the area of the circle using the below formula.
A = π r²
A = π × 8 × 8
A = 3.14 × 64
A = 200.96 mi²
Please help :) (its for my friend)
If your friend has 7 apples, you take 3. How much do you have?
Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function
Answer:
B. it is a one-to-one function
Step-by-step explanation:
since the line is curving a bit while passing.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:
38.6 in^2
Step-by-step explanation:
Find the third side using law of cosines
11.1^2 + 7^2 - 2(11.1)(7)cos 84 = x^2
x = 12.49
semi perimeter = (11.1 + 7 + 12.49)/2 = 15.29
Heron's formula for triangle area with 3 side lengths given
sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2
enter the value 2³ - 16 divided by 2 + 5²
Answer: 2^3 - 16 : 2 + 5^2 = 25/1 = 25
Step-by-step explanation:
Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25
are these lines perpendicular? 6x+4y=-2 and y=3/2x-6
What is the equation for the graph shown?
Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
The rule for graphs is:
[tex]y = mx + c[/tex]
Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)
We can work out c by looking at our graph.
Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]
To work out our gradient of a straight line (which is what we have)
We use the formula:
[tex]m = \frac{\triangle y}{\triangle x}[/tex]
The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.
To calculate the change in y, we can pick any two points on our line!
Let's go for (0, 4) and (-6, 0)
To work out the gradient:
[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]
Using our formula
[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]
Simplify (x-2 divided by 2x+6) - (x-3 divided by 5x+15)
Answer:
3x - 4
---------
10(x + 3)
Step-by-step explanation:
x -2 x - 3
----------- ( - ) ----------
2x + 6 5x + 15
Multiply both sides by the denominator
5(x - 2) 2( x - 3)
----------- ( - ) ----------
5(2)(x + 3) 2(5)(x + 3)
multiply the numbers together
5x - 10 2x - 6
----------- ( - ) ---------
10(x + 3) 10(x + 3)
Subtract the numberator
5x - 10 - (2x - 6)
5x - 10 - 2x + 6
5x - 2x = 3x
-10 + 6 = -4
3x - 4
3x - 4
----------
10(x + 3)
I hope this helps!
PLEASE PLEWSE PLEASE HELP
Answer:
C) 63°
Step-by-step explanation:
Just add the numbers up together to get your solution
i have 57 test to take each takes 8 minutes, so how long does it takes to complete the test?
7.6 hours
Step-by-step explanation:
57 x 8 = 456 minutes
456÷60= 7.6
What is the answer to 3/4 times 6?
Answer:
4.5 or 4 1/2
Step-by-step explanation:
An easy way to do this problem is to divide 6 by 4, the denominator (1.5) then multiply it by the numerator, 3, which will now be 4.5.
The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?
Answer:
63 km
Step-by-step explanation:
Given :
Speed = 315 km/hTime = 12 minutesSolving :
Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.
There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hoursCalculating distance
Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 kmAnswer:
frist convert 315k/h into m/s
then convert 12min into sce
=12*60
=720
distance = v*t
=315*720
=226800m