Answer:
[tex]xlog 5 = logq - log y\\[/tex]
Step-by-step explanation:
Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;
[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]
The final expression is a linear form of the expression
The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the circuit will last more than 2000 hours?
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
Find the sum of the first 50 terms of the sequence below. Please Help!
Answer:
in 1st sequence put 1 instead of n
i.e
a1=3×1+2
=3+2
=5
Step-by-step explanation:
now do all the 50 terms by placing 1 to 50 instead of n
Cuanto mide el Tigre y cuanto pesa
Answer:
Pesa 320 kilogramos y su cola mide un metro.
What are the excluded values?
Answer:
y = 0
z = 5
Step-by-step explanation:
Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.
8x – 2 – 5x + 7 = one solution
━━━━━━━☆☆━━━━━━━
▹ Answer
3x + 5
▹ Step-by-Step Explanation
8x - 2 - 5x + 7
= 3x - 2 + 7
= 3x + 5
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: For the equation to have one solution, use any number that does not contain 3x.
Step-by-step explanation:
8x - 2 - 5x + 7
Combine like terms
3x + 5
the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
i need help can you answer this
Answer:
Hey there!
6(7-4n)
42-24n
-24n+42
Hope this helps :)
Answer:
42-24n
Step-by-step explanation:
(7-4n)6
42-24n
-24n+42
Hope this helps ;) ❤❤❤
I really need help, someone please help me
Answer:
18.84 meters.
Step-by-step explanation:
The formula for a circle is πr^2.
πr^2 = 28.26
3.14 * r^2 = 28.26
r^2 = 9
r = plus or minus 3.
But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.
The formula for the circumference is 2πr.
2 * 3.14 * 3 = 6 * 3.14 = 18.84.
So, the circumference of the circle is 18.84 meters.
Hope this helps!
Which relation is a function of x?
Answer: The bottom option, the graph.
Step-by-step explanation:
A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.
Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.
For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.
The second relation is not a function.
the third relation is:
x = 3*y^2 - 7
This is a function, but in this relation x is the output and y the input, so this is a function of y.
In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.
Answer:
D
Step-by-step explanation:
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike? Also totally math unrelated, but how do you add friends, or send a friend request?
Answer:
36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)
If you want to add friends on brainly click their profile picture you will see send friend request click on it and then boom you are friends with that person but you have to wait until the person add you back.
Step-by-step explanation:
Mark me as brainliest
The ratio would start as 36:12
The front number (36) can be divided by the back number (12)
The 36:12 can be reduced to 3:1
The ratio is 3:1
I think when you click on someone name and go to their profile there is a button to request as a friend.
factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)The y-intercept of the graph of a line is located at (0, –2). The line also passes through the point (5, 1).
Answer:
y - 1 = (3/5)x
Step-by-step explanation:
First find the slope of this line. As we move from (0, -2) to (5, 1), x (the 'run') increases by 5 and y (the 'rise') increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Using the point-slope formula for the equation of a straight line:
y - 1 = (3/5)(x - 5), or
y - 1 = (3/5)x This can also be written as 5y - 5 = 3x, or
y = (3/5)x + 1
What is the inverse of the function f(x) = one-quarterx – 12?
Hey there! :)
Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x - 12
y = 1/4x - 12
Add 12 to both sides.
y + 12 = 1/4x
Multiply both sides by 4.
4y + 48 = x
Switch variables.
4x + 48 = y
y is directly proportional to x when y=30, x=6 a) work out an equation connecting y and x b) work out the value when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
a) Standard equation of direct proportion:
y = kx
We need to find k. We can use the given values of x and y to find k.
x = 6; y = 30
30 = k * 6
k = 30/6 = 5
Now we use k = 5 in the standard equation to get this problem's direct proportion equation.
y = 5x
b)
x = 12
y = 5x
y = 5 (12)
y = 60
Can someone help me please
Which situations would be represented with a positive number? Check all that apply.
The temperature outside is 34°F.
The Dead Sea is 1,349 feet below sea level.
Nicole lost 2 pounds last month.
Sebastian owes his friend $4
A football team gains 11 yards on a play.
Long Island Sound is at sea level.
Answer:
A and e
Step-by-step explanation:
Hour many hours are in 7 days?
Answer: 168 hours
Step-by-step explanation:
There are 24 hours in a day. Thus, simply multiply 7*24 to get 168.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: There are 168 hours in 7 days.
Since there 24 hours in a day, Multiply 24 times 7 and you get 168.
Example : 24 x 7 = 168.
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.) 15 C.) 20 D.) 30
Answer:
B
Step-by-step explanation:
Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.
PLEASE ANSWER WILL MARK BRAINLIEST PLEASE ASAP -6/5-2/3v+4/15+1/3v
I'm assuming that you want me to solve for v, so I'll do that.
-6/5 - 2/3v + 4/15 + 1/3v
step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:
-18/15-2/3v+4/15+1/3v
step 2: so now, we can solve and say that -18/15+4/15 = -14/15
step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.
-2/3v + 1/3v = -1/3v
step 4: -14/15 - 1/3v = 0
-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).
IF YOU DON'T WANT TO FIND THE V, YOUR ANSWER IS -1/3v - 14/15If you want to find v, then, your answer is: v = -14/5Please make this the Brainliest if it helped! Thanks :)
someone help asap math 10
Answer:
Required angle measures 39°
Step-by-step explanation:
Let's say, x measures the angle between the hypotenuse and the common base of two triangles.
Sin(x) = 5/8
x = 39°
This angle is complementary to the angle other than theta (let's say y) in the required triangle.
90 - x = y and 90 - theta = y
>>> Theta = x
Best Regards!
ayuda porfavor :b lo nesesito para hoy por fa
Answer:
a) x = 10
Step-by-step explanation:
En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.
Entonces, el angulo C es 7x.
En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.
7x + 2x + 90 = 180
7x + 2x = 90
9x = 90
x = 10
Espero que este te ayude!
One angle of a triangle is a right angle. The second angle measures 41 degrees. What is the measurement of the third angle? A. 49 degrees B. 59 degrees C. 90 degrees D. 132 degrees
Answer:
49 degrees
Step-by-step explanation:
first, you add 90 and 41, as in right angle= 90 degrees.
=131 degrees
then you subtract,
180-131= 49 degrees.
hope this helps!
The measurement of the third angle in the given triangle is 49°. Therefore, the correct answer is option A.
Given that, one angle of a triangle is a right angle.
The second angle measures 41 degrees.
Let the measurement of the third angle be x.
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Here, 90°+41°+x=180°
131°+x=180°
x=180°-131°
x=49°
Therefore, the correct answer is option A.
To learn more about the angle sum property of a triangle visit:
https://brainly.com/question/8492819.
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which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
A
Step-by-step explanation:
edge 2020
The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
As we know,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the first graph:
The line goes through the points:
(-2, 2) and (2, 1)
y - 1 = (1-2)/(2+2)[x -2]
y - 1 = (-1/4)[x -2]
y = -x/4 + 1/2 + 1
y = -x/4 + 3/2
The constant additive rate of change = -1/4
Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.
Learn more about the rate of change here:
brainly.com/question/12786410
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a person earns $25,100 one year and gets a 5% raise in salary. what is the new salary?
Answer:
A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.
What is the area of a circle whose diameter is 64
Answer:
A ≈ 3215.36
Step-by-step explanation:
A = πr²
Radius - D/2
Radius - 64/2 → 32
A = 3.14(32)²
A = 3215.36
Hope this helps! :)
Answer:
3215.36 um²
Step-by-step explanation:
d = 2r => r = d/2 = 64/2 = 32 um
A = π·r²
= 3.14·32²
= 3.14·1024
≈ 3215.36 um²
Please help!! Maths question I don't understand!
Answer:
see explanation
Step-by-step explanation:
The statements tells us that w is inversely proportional to v and the equation relating them is
v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion
To find k use the condition v = 9, w = 5, that is
9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
45 = k
v = [tex]\frac{45}{w}[/tex] ← equation of proportion
When w = 4 , then
v = [tex]\frac{45}{4}[/tex] = 11.25
Working out simultaneous equations.
Answer:
x = 6/5
y = 8/5
Step-by-step explanation:
3x - y = 2
2x + y = 4
Add the equations, cancelling y.
5x = 6
x = 6/5
Put x as 6/5 in the second equation and solve for y.
2(6/5) + y = 4
12/5 + y = 4
y = 4 - 12/5
y = 8/5
What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2
Answer:
y = -3/2x-9/2
Step-by-step explanation:
We have two points ( -3,0) and (-1,3)
The slope is
m = (y2-y1)/(x2-x1)
= (-3-0)/(-1- -3)
= (-3-0)/(-1+3)
= -3/2
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y =-3/2x+b
Using the point (-3,0)
0 = -3/2(-3) +b
0 = 9/2+b
b = -9/2
y = -3/2x-9/2
Please answer this now in two minutes
Answer: b=46
Step-by-step explanation:
b+33 = b-13 + b the exterior angle is the sum of two interior angles.
so they have to equal each and solve for b
b+33=b -13 + b
b +33 = 2b -13
+ 13 +13
b+ 46 = 2b
-b -b
46 = 1b
b=46
Stefan makes a cuboid that is 5 cm longer, 5 cm taller and 5 cm wider than Amina's cuboid. What is the difference between the number of cubes in Amina's and Stefan's cuboids? animas cuboid is 4x6x3
Answer: Stephan's cuboid has 90 cubes more than that of Amina
Step-by-step explanation: As stated in the question, Amina's cuboid has dimensions given as 4 cm by 6 cm by 3 cm. That means Amina's cuboid has a total volume of
Volume = L x W x H
Volume = 4 x 6 x 3
Volume = 72 cm³
A cube by standard has the length, width and height all measuring the same. This means, the in a cuboid with a volume of 72 cubic centimetres, you can find a cube with each side measuring 2 centimetres as follows;
Volume of cube = 2 x 2 x 2
Volume of cube = 8 cm³
Therefore,
Number of cubes = Volume of cuboid / Volume of cube
Number of cubes = 72/8
Number of cubes = 9
However, Stephan's cuboid now has each side measuring 5 centimetres more than each side of Amina's cuboid, hence Stephan's cuboid has the following dimensions,
L = 9 (4 + 5)
W = 11 ( 6 + 5)
H = 8 (3 + 5)
The volume of Stephan's cuboid therefore is derived as,
Volume = L x W x H
Volume = 9 x 11 x 8
Volume = 792 cm³
The number of cubes (with each side measuring 2 cm) in Stephan's cuboid is now derived as;
Number of cubes = Volume of cuboid / Volume of cube
Number of cubes = 792/8
Number of cubes = 99
From the results derived above, Stephan's cuboid has 99 cubes while Amina's cuboid has 9 cubes. The difference between both is 90 cubes.