Which logarithmic equation is equivalent to the exponential equation below?
67.21 = ea
A. In a = 67.21
B. loga 67.21 = 2.43
C. lo967.21 2.43 = e
O D. In 67.21 = a
Answer:
[tex]log_e^{67.21}= a[/tex]
Step-by-step explanation:
The equation is ,
[tex]\implies 67.21 = e^a [/tex]
Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.Say if we have a expoteintial equation ,
[tex]\implies a^m = n [/tex]
In logarithmic form it is ,
[tex]\implies log_a^n = m [/tex]
Similarly our required answer will be ,
[tex]\implies\boxed{ log_e^{67.21}= a }[/tex]
A square shaped patio has an area of 256 ft 2 what are the dimensions of the patio
Step-by-step explanation:
√256
it's a 16in x16in patio
all four sides are 16
A Ferries wheel had a radius of 58 feet. What is the distance a passenger will travel one time around the Ferries wheel?
Answer:
364.42 ft.
Step-by-step explanation:
For step 1 we should multiply pi by r and 2.
π x r x 2
For step 2 we should multiply pi by 58 and 2.
π x 58 x 2
In result, we should end up with 364.424748 ft. or for short 364.42 ft.
I hope I helped you... Have a great and nice day! :D
Consider the function f(x)=2x√3. For what value of x does f(x)=10?
Answer: 34.64
Step-by-step explanation: you multiply 10 and 2 and that gives you 20 and then u square root 20 and 3 and you get your answer.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B. 10, 2, -6, -14, ...
Step-by-step explanation:
substitute each sequence from the options into the function f(n) = -8n + 18
Answer:
B.
Step-by-step explanation:
find the first, second, and third term using the equation and check them with the options
f(1) = -8(1) + 18 = -8 + 18 = 10
f(2) = -8(2) + 18 = -16 + 18 = 2
f(3) = -8(3) + 18 = -24 + 18 = -6
which sequence has 10, 2, -6, ...? B.
Use the quadratic formula to solve for x.
6x²-3x=1
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If we know the quadratic formula, the quadratic formula is
x = [-b ± √(b²- 4ac)] / 2a
Gosh! So overwhelming! But let's look at the composition of a quadratic equation:
ax² + bx + c = 0
And we have 6x² - 3x = 1. So, what do we do? We need to put this quadratic equation into an easy form to find the value of a, b, and c to plug in to the equation.
We can just minus one on both sides to get this:
6x² - 3x - 1 = 0
Is it in the form of ax² + bx + c? Yes! a = 6, b = -3, and c = -1. Now, all we have to do is plug it into the quadratic formula.
x = [-b ± √(b²- 4ac)] / 2a
x = [-(-3) ± √((-3)²- 4(6)(-1))] / 2(6)
[3 ± √(9- 4(6)(-1))] / 12
[3 ± √(9 + 24)] / 12
[3 ± √(33)] / 12
At this point, we should just use a calculator, and recognize we have two answers because of the plus-or-minus sign! (or this sign: ±)
[3 ± √(33)] / 12
1) [3 + √(33)] / 12 = 0.73 approximately
2) [3 - √(33)] / 12 = -0.23 approximately
So, x=0.73 and x= -0.23.
What are the solutions for the given equation?
x^2+ 2x + 7 = 0
Answer: 2 imaginary solutions
Step-by-step explanation:
x^2+2x+7=0
a=1, b=2, c=7
2^2-4*1*7
-24 (The discriminant is less than 0 , so the quadratic equation has 2 imaginary solutions)
Calculate the volume of the shaded space. Round to the nearest tenth, if necessary.
Answer:
Volume of the shaded space = 4480.0 yd³
Step-by-step explanation:
Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside
Volume of cuboid = Length × Width × Height
= 28 × 12 × 20
= 6720 yd³
Volume of pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}(28\times 12)(20)[/tex]
= 2240 yd³
Volume of the shaded space = 6720 - 2240
= 4480.0 yd³
plzzzz help right now
Hello and Good day,
This question is relating to probability and it can come in percentages and fractions. I will follow directions as the problem states and provide both.
1. There is a 1/20 or 5% chance that the dart would land on section 20.
2. There is a 10/20 or 50% chance that the dart would land on an odd number.
There are 10 odd numbers present on the dart board.
3. 4/20 or 20%
There are 4 numbers greater than 16.
4. 0/20 or 0%
This is because there are no 25's on the dart board
5. 17/20 or 85%
This is because there are 17 numbers that aren't 4, 5, or 6.
6. 7/20 or 35%
There are 7 numbers less than 8.
7. 20/20 or 100% chance
8. 19/20 or 95% chance
I honestly was to lazy to right the rest in complete sentences, but i hope you find this well. Have a great day.
Thank you for your support,
-Oceanbreeze24
A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
A five number summary was found. What is value of the 3rd quartile?
9
9.5
8
10
Answer:
The Q³ of this data set is 9.5
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
908.74
Step-by-step explanation:
The formula for the volume of a cylinder is V = h * pi * r^2
h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.
So now plug it into the formula:
V = 10.5 * pi * (5.25)^2
= 908.74
Hope this helped! :)
Answer:
1211.65 cubed ft.
Step-by-step explanation:
Half sphere: V = 4/3(3.24)(5.25^3)
V = 605.82
Divide by two since we need to find the volume of the half sphere, not the full sphere.
605.82 ÷ 2 = 302.91
Cylinder: V = (3.14)(5.25^2)(10.5)
V = 908.74
Add the two volumes to each other to find the total volume of the composite figure.
908.74 + 302.91 = 1211.65
If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?
Answer:
42
Step-by-step explanation:
We know that 10x + 6y = 7, and so
6(10x + 6y) = 6(7) = 42
What is the total surface area of the square
pyramid whose net is shown?
please help!
Answer:
Total surface area of this pyramid =665.6 in^2
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
help with this question
Answer:
angle ABD=42°
Step-by-step explanation:
join AO with dotted line
AO=OD...radii
triangle AOD is an isosceles
angle DAO=angle ODA.....base angles of isosceles
angle DAO=48°
AngleAOD=180°-(48°+48°)....angle sum of triangle
=180°-96°
=84°
Angle AOD=2×angle ABD....angle at centre twice angle circumference
2xangle ABD=84°
Angle ABD=84°÷2
=42°
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble.
What is the complement to the probability that she will draw a purple marble?
Answer:
2/17
Step-by-step explanation:
6+6+3+2=17
There are two purple marbles
Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda
Answer:
En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.
about liner equations!! please help with answer
Answer:
There are infinitely many solutions
Step-by-step explanation:
The expressions on both sides of the equation are the same, that is
[tex]\frac{1}{2}[/tex] (b + 14) is the same as [tex]\frac{b+14}{2}[/tex]
Thus the equation has infinitely many solutions
can someone please help asap
Answer:
I'd have to say, C: 13
Step-by-step explanation:
Answer:
C. 13 meters
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]c^{2} = 12^{2} + 5^{2}[/tex]
12 x 12 = 144
5 x 5 = 25
[tex]c^{2} = 144 + 25[/tex]
[tex]c^{2} = 169[/tex]
[tex]\sqrt{c^{2} } = \sqrt{169}[/tex]
c = [tex]\sqrt{169}[/tex]
169 ÷ 13 = 13
1 [tex]\sqrt{13 m}[/tex]
Please let me know if this helps!
WILL MARK BRAINLIEST A bag contains 16 marbles. There are 4 green, 10 red, and 2 blue marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement.
True False
1) It is unlikely that a blue marble will be selected.
2) It is certain that a green marble will be selected.
3) It is impossible that a yellow marble will be selected.
4) It is unlikely that a red marble will be selected.
Answer:
1 is FALSE
2 is TRUE
3 is FALSE
4 is FALSE
Step-by-step explanation:
1 is false because the blue marble is 2 only
2 is true because green marble has a 100% you get this.
3 is false because we din't have yellow marble
4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color
what number should be added to get 10/77 to get 1 ?
a. The product of p and 48
How would I write this as an algebraic expression
Answer:
p * 48
Step-by-step explanation:
Lets break this down into something simpler
"The product"
answer to a multiplication problem
"of"
to multiply
"p"
an unknown value
"48"
factor
which property would be used to first simplify the expression 2 (x+5y+1)-4(3x-y-2)
a. distributive
b. identity
c. inverse
d. commutative
Answer:
Distributive
Step-by-step explanation:
Answer:
This should be distributive
ASAPPPPP
Fill in the blank
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with
an original height of 8 inches. Until the candle had been burning for at least _______ hours, the height of Jennifer's candle will be more than 7 inches.
Answer:
2.5 hours
Step-by-step explanation:
Math question Plz Help
Answer:
-1/3x + 5
Step-by-step explanation:
The slope-intercept is y = mx + b
The m is the slope and b is the y-intercept.
The equation is:
y = -1/3x + 5
7x+2y=47
5x-4y=1
use elimination method
Answer:
x=5, y=6
Step-by-step explanation:
7x+2y=47
5x-4y=1
to use elimination method , you want to add the two equations together so that either x or y cancels out. For these equations, we will multiply the first equation by 2. (This will cancel out y value)
2(7x+2y)=2(47)
14x+4y =94
————————
add above equation to second equation:
14x+4y=94 above equation
5x-4y=1 second equation
19x=95 added together
x=5
—————————————
‘solve for y by substituting x value (5) into either original equation
5x-4y=1
5(5)-4y=1
25-4y=1
-4y=-24
y=6
What is the volume of the composite object below?
Answer:
Step-by-step explanation:
I am not gonna give the exact answer but remember how to find the volume of the certain object first figure out what kind of object then figure out the formula..
Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her checkbook as an $8.50 deposit. Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions. Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
Answer:
Part A
The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while
The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add
Part B
The absolute value of a number is never negative.
|-8.50| = 8.50
Step-by-step explanation:
Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.
The firsts transaction says:
She wrote a check for $8.50 to rent a video game.
Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.
Mathematically this means, -$8.50
The second transaction states that:
She mistakenly recorded it in her checkbook as an $8.50 deposit.
Mathematically, a deposit means a positive action, where money is added to the money in her bank account.
Hence,
+$8.50
Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
In mathematics it is important to note that:
The absolute value of a number is never negative.
Hence,
Debt of $8.50 = -8.50
Deposit of $8.50 = +8.50
Hence,
|-8.50| = 8.50
Si el recíproco del m% de p se divide por el recíproco del m% de q resulta: A) pq/100 B)pq C)1/pq D)p/q E)q/p
Answer:
E) q / p
Step-by-step explanation:
Spanish
m% de p = pf / 100
m% de q = mq / 100
El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.
El recíproco de m% de p = 100 / mp
El recíproco de m% de q = 100 / mq
Divisor
100 / mp / 100 / mq
= 100 / mp * mq / 100
= mq / mp
= q / p
English
If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p
m% of p= mp/100
m% of q= mq/100
The reciprocal is obtained by making the numerator the denominator and the denominator the numerator
The reciprocal of m% of p= 100/mp
The reciprocal of m% of q= 100/mq
Dividing
100/mp/ 100/mq
=100/mp* mq/100
= mq/mp
= q/p
Farmers have learned how to grow watermelons
in the shape shown at the right. What
three-dimensional figure is the watermelon?
Answer:
it looks like a cube to me lol