Answers
1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The value of √e⁷/e⁵ will be;
⇒ e
3. The equivalent expression of 3 will be;
⇒ ln e³
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].
2. The equation is √e⁷/e⁵.
3. The number is 3.
Now,
The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;
[tex]log_{x} 4 = - 2[/tex]
By the definition of logarithmic, we get;
4 = x⁻²
Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The equation is √e⁷/e⁵.
Solve as;
√e⁷/e⁵ = √ e ⁷ ⁻ ⁵
= √ e²
= e
Thus, The value of √e⁷/e⁵ will be;
⇒ e
3. Since, by the definition of logarithmic;
[tex]ln_{e} e = 1[/tex]
So, By option 1;
[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]
Thus, The equivalent expression of 3 will be;
⇒ ln e³
Learn more about the expression visit:
https://brainly.com/question/1859113
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Related Questions
Which equation has exactly one solution?.
A. – 4 + 2x = 6x – 4
B. 3x + 5 = 2x – 6
C. 2(4x + 5) = 8x + 10
D. 4x – 8 = 4(x – 4)
Answers
Answer: A( – 4 + 2x = 6x – 4= x=0
Step-by-step explanation: Solve : -4x = 0
Multiply both sides of the equation by (-1) : 4x = 0
Divide both sides of the equation by 4:
x = 0
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) What is the distance from the sun to Venus written in scientific notation?
• [Please make sure to include your units]
(b) What is the diameter of a human hair written in scientific notation?
• [Please make sure to include your units]
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Answers
Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
HELPPPPP ASAPPPPPP PLS
Answers
Answer:
B The relationsip does not represent a function because for one x-value, there is more than one y-value
Step-by-step explanation:
you can walk 1 1/2 miles in 1/2 hour. what is your average speed?
Answers
Answer:
3mph
Step-by-step explanation:
Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).
1. 1.5 mi=0.5 hr
2. Multiple 0.5 by 2 to get one hour, and do the same to the other side
2(1.5)=2(0.5)
3. 3mi=1hr
4. The answer is 3mph
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answers
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
I NEED HELP PLEASE 10 points
Answers
Answer:
b.y=1/2x-3
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I took the assignment
Help please! Answer only if you know the correct answer, thanks.
Answers
Answer:
AB and AC
Step-by-step explanation:
I think I'm not 100 but....
SHOW YOUR WORK
20x4.17
Answers
Answer = 83.4
Answer:
83.40
Step-by-step explanation
_______________2 0________
× 4 1 7
________________________
+ 1 4 0
+ 2 0
+ 8 0
___________________________
= 8 3. 4 0
The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals
Answers
Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
Colleen is searching online for airline to tickets. Two weeks ago, the cost to fly from denver to Boston was $250. Now the cost is $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price
Answers
Answer:
[tex]follow \: me \: please[/tex]
[tex]A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason[/tex]
Step-by-step explanation:
A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason
Answer:
Step-by-step explanation:
13%
Mushrooms are healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for $8.75. Marco buys a 3.75- oz container of mealworms for $9.75. Which container is a better buy?
Answers
Answer:
Adam's container
Step-by-step explanation:
Given
Adam
[tex]Weight = 3.5\ oz[/tex]
[tex]Amount = \$8.75[/tex]
Macro
[tex]Weight = 3.75\ oz[/tex]
[tex]Amount = \$9.75[/tex]
Required
Determine the better buy
First, we need to determine the unit cost per oz of each
i.e.
[tex]Unit\ Cost = \frac{Amount}{Weight}[/tex]
For Adam:
[tex]Unit\ Cost = \frac{8.75}{3.5}[/tex]
[tex]Unit\ Cost = 2.5[/tex]
For Marco:
[tex]Unit\ Cost = \frac{9.75}{3.75}[/tex]
[tex]Unit\ Cost = 2.6[/tex]
The better buy of both is the one with the smaller unit cost.
Since 2.5 < 2.6, we can conclude that Adam's container is a better buy
HELP URGENT‼️‼️
Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?
Answers
Answer:
The answer is 3 cups of orange juice.
Step-by-step explanation:
So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.
Answer:3
Step-by-step explanation:
Write 65% as a rate (fraction).
Answers
Answer:
65/100
Step-by-step explanation:
Answer:
65/100= 13/20
Step-by-step explanation:
divide by 5
x + 3x-1 + 2x+1 what is the perimeter
Answers
Answer:
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.
Step-by-step explanation:
Hey everyone! I was just browsing around on google, and found this is the hardest question ever...
Is there anything you know you should let go of, but you haven’t yet? Why?
Can Brainly answer it?! I guess time will tell! Also, first gets branliest!
(NO WASTING MY POINTS EITHER)
Answers
Answer: Yes my bestfriend
Step-by-step explanation:
Answer:
yes, that fact that i think im smart and that others think im smart too XD im rly dum, i hate school, my brain hurts all the time, and my dyslexia isn't helping at all. being in online school is very difficult for me cuz im not learning anything im just getting my work done (sometimes) and trying to get through the day.
Find The Value Of Segment JK
Answers
Answer:
Step-by-step explanation:
since the two triangles are congruent,
GH = JK
Since, GH = 10 cm
JK is also 10 cm
Hope this helps
plz mark as brainliest!!!!!!
If I deposit $ 800 in a savings account at 6% interest compounded annually, and if I make no withdrawals or deposits for 4 years, how much will I have in my account at the end of 4 years?
Answers
Answer:
$992.00
Step-by-step explanation:
Where:
I = P x r x t
P is the principal amount, $800.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 800 × 0.06 × 4 to get that:
The interest is: $192.00
Usually, now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 800.00 + 192.00 = 992.00. For example:
If you borrowed the $800.00, you would now owe $992.00
If you loaned someone $800.00, you would now be due $992.00
If owned something, like a $800.00 bond, it would be worth $992.00 now.
Jennifer has already driven 160 miles on her trip to her grandparents house for every hour she travels she drives an additional 55 miles which equation represents the relationship between the Total miles driven y,and the number of hours ,x.
Answers
Answer:
y = 55x + 160
Step-by-step explanation:
The computation of the equation that represents the relationship between the total miles driven y and the number of hours x is shown below:
she starts at 160 miles so it would be y-intercept
So the equation form would be
"b" in y = mx + b
where,
m = 55
and b = 160
Therefore the equation would be
y = 55x + 160
The same is to be considered
How many solutions does the equation −4y + 4y + 2 = 2 have?
a. Two
b. None
c. One
d. Infinitely many
Answers
Answer:
D
Step-by-step explanation:
Let's solve your equation step-by-step.
−4y+4y+2=2
Step 1: Simplify both sides of the equation.
−4y+4y+2=2
(−4y+4y)+(2)=2(Combine Like Terms)
2=2
2=2
Step 2: Subtract 2 from both sides.
2−2=2−2
0=0
Answer:
All real numbers are solutions.
Find the product of the two binomials below
(x-8) (x+4)
Answers
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
That’s your answer, hope this helps! Also, the 2 is supposed to be up on the right by the x.
Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90° clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true
Answers
Answer: it’s D
Step-by-step explanation:
-8+15+2x=5+6x-6x
News ASAP
My teacher didn’t teach me this
Answers
Answer:
x = -1 you have to combine like terms.
BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)
Answers
Answer: x2+17x+3
Step-by-step explanation:
2x2+7x−x2+10x+3
=2x2+7x+−x2+10x+3
Combine Like Terms:
=2x2+7x+−x2+10x+3
=(2x2+−x2)+(7x+10x)+(3)
=x2+17x+3
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
Answers
Hope this helps
pleaseeeeeeeeeee helppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!! im literaly using half of my points i have left !!1111
Answers
Answer: The amount that they made together is 130,640 The amount that the agency made is 20,240
Step-by-step explanation:
What value of x makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
x= 3
x= 4
x= 3.75
x= 4.25
Answers
Answer:
Value of x = 3
Step-by-step explanation:
Given:
0.25 (10 x - 3) = 1.5(x + 2) - 0.75
Find:
Value of x
Computation:
0.25 (10 x - 3) = 1.5(x + 2) - 0.75
2.5 x - 0.75 = 1.5 x + 3 - 0.75
x = 3
Value of x = 3
Answer:
x=3
Step-by-step explanation:
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.
What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP
Answers
Answer: 0.31
Step-by-step explanation:
Simple division.
Answer
the Answer is 12
Step-by-step explanation:
what is 2/5 of 110??
Answers
Answer:
44
Step-by-step explanation:
Remember that "of" in math means the same as multiplication.
2/5 * 110 = 44
Answer:
44
Step-by-step explanation:
2/5×110
of in mathmatics means multiplication
Therefore, the answer is 44
What is the answer to this question?
will get arwarded if you give a good explanation
(4x-3)(x-1)
Answers
Answer:
4x^2-7x+3
Step-by-step explanation:
(4x-3)(x-1)
4x^2-4x-3x+3
4x^2-7x+3
24 = -3(2а — 15) — а
Answers
Answer:
a=3
Step-by-step explanation:
24= -3(2a-15)-a -->given
24=-6a+45-a -->distribute the -3
24=-7a+45 -->combine like terms
-21=-7a -->subtract 45 from both sides
3=a -->divide both sides by -7