Answer:
1. a = 1
2. See explanation below.
Step-by-step explanation:
First Question
Given:
[tex]\displaystyle \large{\log_b a = 0}[/tex]
Convert to exponential:
[tex]\displaystyle \large{\log_b a = c \to b^c = a}[/tex]
Thus [tex]\displaystyle \large{\log_b a = 0 \to b^0 = a}[/tex]
Evaluate:
[tex]\displaystyle \large{b^0 = a}[/tex]
We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.
Solution:
[tex]\displaystyle \large{a = 1}[/tex]
__________________________________________________________
Second Question
Given:
[tex]\displaystyle \large{log_0 3}[/tex] and [tex]\displaystyle \large{\log_1 3}[/tex]
Let’s convert to an equation:
[tex]\displaystyle \large{\log_0 3 = x}[/tex] and [tex]\displaystyle \large{\log_1 3 = y}[/tex]
The variables represent unknown values of logarithm.
Convert to exponential:
[tex]\displaystyle \large{0^x = 3}[/tex] and [tex]\displaystyle \large{1^y = 3}[/tex]
Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.
Hence, no solutions for x and y.
The total amount of carbohydrates in 3.5 bagels is 167.37 grams. How many grams of carbohydrates would one bagel have?
Answer:
47.82 grams of carbohydrates.
Step-by-step explanation:
3.5 bagels have 167.37 grams of carbohydrates.
1 bagle = ???
In order for 3.5 to be 1 (just as we are asked) we need to divide by 3.5 both the amount of bagles and the amount of carbohydrates.
3.5 / 3.5 = 167.37 / 3.5
1 bagle = 47.82 grams of carbohydrates.
What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.
165,400 and 220,574
=================================================
Explanation:
The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.
The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.
-------------------------
In 220,574 we have the first "2" in the hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.
220,574 is closer to 200,000 than it is to 300,000.
These two sections help show why choices C and D are the answers.
--------------------------
Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.
Choice A rounds to 100,000 as well, so we can rule it out also.
Choice D rounds to 1,000,000 which means we cross it off the list.
I really need help... can someone pls help me
Volume = length x width x height
Volume of large box = 4 x 3 x 5 = 60 cubic feet.
the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.
Solve the equation.
−10x + 1 + 7x = 37
x = −15
x = −12
x = 12
x = 15
need help with this question please
Answer:
your answer is correct
Step-by-step explanation:
Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?
Answer:
x= -1/7
Step-by-step explanation:
2x + 5x + 1 = 0
7x = -1
x = -1/7
does anybody know how to do this please help meee
Answer:
A
Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.
I need help with this question
Step-by-step explanation:
Question 3 of 5 How many solutions does 6 + = -5 - Lo have? 31 10 ? O A. One solution O B. Infinitely many solutions O C. Two solutions O D. No solutions
Answer:
En la Imagen adjunta
Step-by-step explanation:
Toca Para Abrir Imagen
Espero haberte ayudado si es así dame Corona
Answer:
One Solution
Step-by-step explanation:
Given:
6 + x/5 = x/5 - 5 - 3x/10
To Find:
How many solutions?
Solve:
[tex]6+\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Subtract\:}\frac{x}{5}\mathrm{\:from\:both\:sides}[/tex]
[tex]6+\frac{x}{5}-\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}-\frac{x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6=-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]
[tex]-5-\frac{3x}{10}+5=6+5[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{3x}{10}=11[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]10\left(-\frac{3x}{10}\right)=11\cdot \:10[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-3x=110[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3x}{-3}=\frac{110}{-3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{110}{3}\;or\;\left(\mathrm{In \;Decimal\;form}:\quad x=-36.66666\dots \right)[/tex]
~lenvy~
(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!
I give you 10 pts
Answer:
[tex]\huge\boxed{\bf\:62}[/tex]
Step-by-step explanation:
[tex](9*7) + 7 - 8 = ?[/tex]
We can solve this by using the PEMDAS concept where,
P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = SubtractionSo, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).
[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]
Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).
[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]
Now, subtract 8 from 70 .
[tex]70 - 8\\= \boxed{\bf\:62}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
a student gets 11 out of 16 problems correct on a homework assignment. what percent of the assignment did the student get corret?. thanks if someone answers this
Answer:
68.75 Percent
Step-by-step explanation:
11/16 =0.6875
0.6875 into percent is 68.75
Need Help Please!!
Determining the price for a product can be tricky! Companies often have to juggle several variables in order to find the price that maximizes their revenue. Currently, the price of a product is set at $100. The company is getting about 20 customers per week at this rate. The company has done some research and found that they lose two customers for every $5 they increase their price.
Let the variable ”x” represent the number of times the company increases the price by $5. What is the price of the product when x= 3?
Check the picture below.
find the zeros simplify all irrational and complex solutions
f(x)=x^4-11x^2-80
Answer:
Step-by-step explanation:
f(x)=x^4-11x^2-80=x^4-16x^2+5x^2-80
=x²(x²-16)+5(x²-16)
=(x²-16)(x²+5)
=(x-4)(x+4)[x²-(-5)]
=(x-4)(x+4)[x^2-(5i²)]
=(x-4)(x+4)(x-√5 i)(x+√5 i)
so zeros are 4,-4,√5 i,-√5 i
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, find the revenue and cost per month
Step-by-step explanation:
200,000 X 50,000 = 100000000
If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000 then the revenue per month is 2083 and the cost per month is 25000
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
If the total profit per month is Rs 200,000
Revenue per month can be obtained twice the cost per month minus 50,000
2x-50000
2x=50000
x=25000
So cost per month is 25000
The revenue per month is 25000/12
2083
Hence, the revenue per month is 2083 and the cost per month is 25000
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the value of 7p7 ?
A: 1
B: 14
C: 49
D: 5040
Answer:
the answer is D:5040
Step-by-step explanation:
The answer to your question would be D. 5040! Hope this helps - Have an amazing rest of your day :)
Fill in the missing term on each line. Simplify any fractions.
4t + 11 = 19
4t =
Subtract 11 from both sides
t =
Divide both sides by 4
Answer:
Step-by-step explanation:
4t + 11 = 19
Subtract 11 from both sides
4t = 19 - 11
4t = 8
Divide both sides by 4
t = 8/4
t = 2
if josh gives 13 fried fish and molly eats 10 how many left are there
Answer:
13-10=3 hence, the Q of ans is 3
Sarah took out a 4-year loan for $17,000 to purchase a car. If the interest rate on the loan is 1.3% compounded monthly, how much will she pay in total over the 4 years? Round your answer to the hundredths place.
Answer:
ummm maybe 960
Step-by-step explanation:
I d k... if he made no payments it'd still be 8000 right?
Question 1) What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show your work. ( Please Do Not Repost Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported).
Answer:
21.6 cm²
Step-by-step explanation:
Step 1 : Find CB
CB = tan60° x 5CB = √3 x 5CB = 1.73 x 5CB = 8.65 cmStep 2 : Find Area
Area = 1/2 x Base x HeightArea = 1/2 x 5 x 8.65Area = 2.5 x 8.65Area = 21.625Area = 21.6 cm²Jorge's math grade is calculated using a weighted average. Quizzes are worth 30%, homework is worth 10%, unit tests are worth 40%, and the final exam is worth 20%.
Jorge earned an average of 92% on his quizzes, 98% on his homework, 91% on his unit tests, and a score of 95% on his final exam.
What is Jorge's final math grade?
By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.
What is Jore's final math grade?
The final grade will be given by:
G = a₁*x₁ + a₂*x₂ + ...
Where the values "a" are the weights, and the values "x" are the averages of Jeorge.
We know that the weights are:
30% on Quizzes.10% on homework40% on unit test.20% on the final exam.Then we can write the weights in decimal form:
a₁ = 0.3
a₂ = 0.1
a₃ = 0.4
a₄ = 0.2
And the scores are:
92% on quizzes.98% on homework91% on unit tests95% on final exam.So the final math grade will be:
G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
Answer:
the answer is 92.8%
Step-by-step explanation:
Determine whether each ordered pair is a solution to the inequality x+y<−1.
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
Please Help i Need this asap and i dont know
Answer: Its 1,110
Step-by-step explanation:
The sum of three consecutive even integers is 108. What is the largest number?
34
35
37
38
Answer:
38
Step-by-step explanation:38 because 108. x = 17. 2x + 4 = 34 + 4 = 38
Find the diameter of a circle with an
area of 99 yd?. Use your calculator's
value of pi and round your answer to
the nearest tenth
Answer: 832
Step-by-step explanation:
trust i got correct
Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the rock songs, we have three from a set of eleven, hence:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
For the alternative songs, we have four from a set of five, hence:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
For the rap songs, we have three from a set of four, hence:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
Since the songs are independent, the total number of ways is given by:
[tex]T = 165 \times 5 \times 4 = 3300[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
Karen drew a triangle with side lengths 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?
Answer:
12 cm
Explanation:
The formula or method to find the area of any shape is to go around the shape.
In this case, they are 3, 4 and 5.
p = 3 + 4 + 5
p = 12 cm
x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4
PLEASE ANSWER ITS CONFUSING
Hey there!
Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
QUESTION/EQUATION #1
x - 5 ÷ 3 + b
We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.
So, thus your answer will most likely be/
[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #2
6b + 15b ÷ 3
= 21b ÷ 3
= 7b
Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3
c - 2c × 4
REWRITE
= 1c - 2c × 4
COMBINE the LIKE TERMS
= 1c - 7
= -7c
Thus, your answer is: [-7c]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
please solve the question to get brainliest with explanation
Answer:
14) B. 9
15) C. (7 x 3)cm
Step-by-step explanation:
14) The area of of parallelogram ABCD is 63 and the altitude is 7
divide 63 by 7 = 9
15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)
Answer:
14. B
15. C
Step-by-step explanation:
Question 14
Area of a parallelogram = base × altitude
Given:
area ABEF = 63 cm²base = ABaltitude = 7 cmSubstituting the given values into the formula and solve for AB:
⇒ Area = base × altitude
⇒ 63 = AB × 7
[tex]\sf \implies AB=\dfrac{63}{7}[/tex]
⇒ AB = 9cm
---------------------------------------------------------------------------------------------------
Question 15
Median: the line segment from the vertex to the midpoint of the opposite side.
Median Theorem: the medians of a triangle intersect at a point called the centroid. The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.
Therefore,
[tex]\sf CO=\dfrac23CE \implies EO=\dfrac13CE[/tex]
Given:
EO = 7cmSubstituting the given values into the formula and solve for CE:
[tex]\sf \implies EO=\dfrac13CE[/tex]
[tex]\sf \implies 7=\dfrac13CE[/tex]
⇒ CE = (7 x 3) cm
19 pints converted to gallons
Answer:
2.375
Step-by-step explanation:
Divide the volume value by 8
and you get the answer 2.375
Hope it helps
TC
have a great time