The logarithmic expression [tex]log_{b}(\frac{1}{b^{-b}} )[/tex] where b > 0, is equal to
a) [tex]b^{-b}[/tex]
b) [tex]b^{b}[/tex]
c) [tex]-b[/tex]
d) [tex]b[/tex]
[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]
Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...
Answer:
The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D
Find 34−13.95 . Express your answer in decimal form.
Answer:
34-13.95 = 20.05
Step-by-step explanation:
Answer:
20.05
Step-by-step explanation:
34 - 13.95 = 20.05
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation:
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
Diane is participating in a 5-day cross-country biking challenge. She bikes for 47, 46, 61, and 50 miles on the first 4 days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day
what is 57/100- 3/10
Answer:
27/100
Step-by-step explanation:
make 3/10 into an equivalent fraction with a denominator of 100
therefore, multiply both 3 and 10 by 10 to get: 30/100
57/100 - 30/100 = 27/100
Hoped this helped
[tex]BrainiacUser1357[/tex]
there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?
Answer: 22 blue balloons
Step-by-step explanation:
IF 3/10 balloons are red out of 60, we have
[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total
1/3 of the balloons are yellow, 60/3=20 yellow balloons
Blue balloons= 60-18 (red)-20(yellow)=22
thirty tickets were sold for a concert, some at 60 cent and the rest is at $1. If the total was raised to $22, how many had the cheaper tickets.
Answer:
20
Step-by-step explanation:
To solve this question we can use a system of linear equations. The 2 equations should represent- 1) the number of total tickets sold and 2) the total amount raised. So, the two equations look like this (in this situation, let x stand for the cheaper tickets and y for the more expensive ones).
x+y=300.6x+1y=22Then, there are multiple ways to solve this including graphing, elimination, and substitution. In my opinion, substitution is the best for this situation.
Firstly, isolate the y variable in the first equation
y=30-xNext, plug in this value for y in the second equation
0.6x+(30-x)=22Then, solve this equation algebraically
x=20Since x stands for the cheaper tickets, we know that 20 people bought the cheaper tickets.
How i can answer this question
Answer:
A. 2(x+y+1). lmk if you need any more awnsers
Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!
Answer:
Step-by-step explanation:
Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be
Answer:
Step-by-step explanation:
First we need to find 20% of their bill-$40.
So we write a proportion with fractions.
20/100 = x/40
Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:
800 = 100x
Divide both sides by 100 to solve this.
Then we will get:
$8 = x or x = $8
Now that we know 20% of the bill this will also represent the tip. Our tip is $8.
How do you solve this??
Answer:
what
Step-by-step explanation:
which questions you are telling there is no question to answer you!!
help pls, i will give brainliest :)
PLS ANSWER AS SOON AS POSSIBLE
Translate math sentence in solution.
1.Nine more than a number.
2.One half multiplied by a number.
3.Three more than half of a number.
4. A number increased by seven.
5.Quotient of a number and two tenths.
6.Product of four and a number.
7.Two cubed divided by a number.
8.Difference of ten and a number.
9.Five squared minus a number.
10.Twenty-nine decreased by a number.
Answer:
[tex]x + 9[/tex]
[tex] \frac{1}{2} \times x[/tex]
[tex]0.5x + 3[/tex]
[tex]x + 7[/tex]
[tex]0.2x[/tex]
[tex]4x[/tex]
[tex] {2}^{3} \div x[/tex]
[tex]10 - x[/tex]
[tex] {5}^{2} - x[/tex]
[tex]29 - x[/tex]
What is the product of 44(4-7)(4)?
-16
O
ОО
-1 -12
-100
8
DONE
Hey there!
44(4 - 7)(4)
= 44(-3)(4)
= -132(4)
= -528
Therefore, your answer is: -528
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the greatest common factor. 54,81
54: 1, 2, 3, 6, 9, 18, 27, and 54
81: 1, 3, 9, 27, and 81
In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
It is 21.6
hope this helps
3. The school volleyball team is hosting a car wash to raise money for its upcoming season. The coach spends $24 on supplies for the car wash. The team plans to charge $6 per car. How much money will the team make if 50 cars come to the car wash? The coach tells the girls they need to raise at least $400 to attend a camp the following week. How many cars do they need to come to the car wash to make enough money to go to the camp?
$300 if 50 cars come to the car wash
at least 67 cars if they want to raise at least $400
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5
Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.
Answer:
Step 1: Given
Step 2: Add 6 on both sides
Step 3: Multiply 7 on both sides
Step 4: Divide by 4 on both sides
The value of x for the given linear equation is -24.5.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
We have, a linear equation in one variable
[tex]\frac{4x}{7} -6=-20[/tex]
We solve the above equation in following steps
Step I : Adding 6 both the sides
[tex]\frac{4x}{7} = -20 + 6[/tex]
⇒[tex]\frac{4x}{7} = -14[/tex]
Step II: Multiply 7 both the sides
⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]
⇒ [tex]4x = -98[/tex]
Step III: Dividing both the sides by 4
⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]
⇒ [tex]x = -24.5[/tex]
Therefore, the value of x for the given linear equation is -24.5
Learn more about the linear equation in one variable here:
https://brainly.com/question/17139602
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Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3. 50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h c ≤ 80 3h 3. 5c ≤ 100 h c ≤ 80 3h 3. 5c ≥ 100 h c ≤ 100 3h 3. 5c ≤ 80 h c ≤ 100 3h 3. 5c ≥ 80.
Answer: See below
Step-by-step explanation:
Let h represent hamburgers and c represent cheeseburgers
h + c ≤ 100 - The amount of burgers sold
3h + 3.5c ≥ 80 - Amount that each burger sells for
Solve the inequality T > l+d/B for D
Answer:
Second option = TB - L > D
Step-by-step explanation:
[Given] T > [tex]\frac{L +D}{B}[/tex]
[Multiply both sides by B] TB > L + D
[Subtract L from both sides] TB - L > D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
turkey was $25.65. What was the cost of turkey per pound?
Answer:
$1.35 per pound
Step-by-step explanation:
25.65/19=1.35
Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2
Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
A
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).
If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
The given trigonometric identity is:
[tex]sec(A)=\frac{4}{3}[/tex].........................(*)
Note that:
[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)
Comparing (*) and (**)
Hypotenuse = 4
Adjacent = 3
Find the opposite using the Pythagoras theorem
Hypotenuse² = Opposite² + Adjacent²
4² = Opposite² + 3²
Opposite² = 4² - 3²
Opposite² = 16 - 9
Opposite² = 7
Opposite = √7
cot(A) = Adjacent/Opposite
cot(A) = 3/√7
Rationalize the expression
[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
Learn more here: https://brainly.com/question/25913087
Answer
1A=B 1B=tan 2=B 3=A
Step-by-step explanation:
HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.
Answer:
make me brain list
thank u
Step-by-step explanation: