Answers
Answer:
1. 6²=36
2. 289[tex]\frac{1}{2}[/tex] = 17
3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]
4. 10³=1000
5. [tex]5^{4}[/tex]=625
Step-by-step explanation:
Answer:
1. 6² = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 10³ = 1000
5. 5⁴ = 625
Step-by-step explanation:
I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").
Related Questions
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB. How
many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.?
Answers
Answer:
1.24 times as intense
Step-by-step explanation:
The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
What is the average rate of change?Let the function y = f(x).
Then the average rate of change will be
Average rate of change = (y₂ - y₁) / (x₂ - x₁)
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.
Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be
⇒ (100 – 124) / 100
⇒ -0.24
Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
More about the average rate of change link is given below.
https://brainly.com/question/23715190
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Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!
(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.
(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.
Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz
Answers
Attaching ropes to the midsegment of the triangle formed ensures that the
zipline can more safely cross the family and friends to safety.
The amount of rope needed to create a lifeline to safety is approximately 46.56Reasons:
The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)
The point selected, P = (4, -3)
[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]
[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]
[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]
The lengths of the midsegments are found as follows
Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)
Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3
Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5
(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13
The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)
The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6
The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)
The amount of rope needed to create a lifeline to safety is therefore;
19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56
The amount of rope needed to create a lifeline to safety = 46.56
Learn more here:
https://brainly.com/question/4451516
https://brainly.com/question/16958031
27 red bikes out of 33 bikes
Answers
27/33 = .818
.818 x 100 = 81.81%.
• To calculate a percentage, divide the numerator by the denominator and multiply by 100. Here’s a formula to remember: n/d•100, where n=numerator and d=denominator.
Therefore, 81.81% of the bikes are red.
Feel free to give Brainliest!
mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?
Answers
Answer:
$53.95
Step-by-step explanation:
[Setting up an equation] 12.45x = y
() x is time worked and y is money made
[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y
[Multiply] 53.95 = y
[Answer] y = $53.95
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
NEED RATIONAL
G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?
Answers
Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.
Answers
Answer:
90081???
Step-by-step explanation:
Which value for x makes the following equation true?
−2x−4=−6
Answers
Answer:
Step-by-step explanation:
−2x − 4 = −6
−2x − 4 + 4 = −6 + 4
−2x = −2
−2x/-2 = −2/-2
x = 1
The equation is,
→ -2x - 4 = -6
Let's solve for the value of x,
→ -2x - 4 = -6
→ -2x = -6 + 4
→ x = (-2)/(-2)
→ x = 2/2
→ [ x = 1 ]
Thus, the value of x is 1.
Which equation could be represented by the number line?
Answers
[tex]Hiya![/tex]
Sokka is here to help!!
I believe it is D..
Hopefully, this helps you!
[tex]Sokka[/tex]
Answer:
I think it is C.
Step-by-step explanation:
It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.
Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,
Answers
Answer:
-5n+12
Step-by-step explanation:
find the difference which is -5
then find the difference from -5 to 7 which is 12
put it in the sequence
-5n+12
Answer:
-5n+12 that would be your equation
how can you tell if data is continuous or discrete
Answers
For me, it helps to ask this question: Does it make sense to apply the midpoint? If it doesn't make sense, then the data is discrete. Otherwise, the data is continuous.
Here's an example:
Let's say we are counting the number of people buying a movie ticket. So the numbers we care about are positive whole numbers 1,2,3,... It doesn't make sense to apply the midpoint to the values 1 and 2 to get 1.5; you can't sell half a ticket. Therefore the variable "number of movie tickets sold" is a discrete variable. There are gaps in the data.
On the other hand, if we were measuring the weight of various coins, then this variable is continuous. It's possible to have any positive number decimal number weight (eg: 2.275 grams perhaps). It makes sense to apply the midpoint to any two weights and get some other weight. We don't have to worry about sticking to whole numbers only. Unlike before, there aren't any gaps and we consider this number set to be dense.
One way you could remember the two is to keep this in mind: If you count it, then it's likely discrete. If you can measure it, then it's continuous.
There are probably exceptions to that rule, but for the most part it holds up I think.
plz help asap plzz plllzzzzz
Answers
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33
Answers
Answer:
0.05
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Got it right
7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?
Answers
The symbol that can be used to show the relationship of 101.768 -----
101.867 between the numbers is < (less than)
The question is what symbol should be used to show the relationship
between 101.768 and 101.867.
Both numbers are decimal numbers.
101.768 is not equal to 101.867.
Instead, 101.768 is less than 101.867.
Therefore, the symbol that can be used to show the relationship of 101.768 ---
-- 101.867 between the numbers are as follows:
101.768 < 101.867
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Help me plsssssss jdhdhdhdud
Answers
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
Evaluate.
-1
(1/5) ⋅ 4^0
0
1
5
20
Answers
Answer:
the answer is 5 I think I hope
An expression is given.
6x (3x + 11)
Create an equivalent expression with the fewest terms possible.
HELP ASAP!!!!
Answers
Equivalent expressions are simply expressions that have the same value, irrespective of their form.
The equivalent expression of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]
The expression is given as:
[tex]\mathbf{6x(3x + 11)}[/tex]
Start by opening the brackets; i.e. apply distributive property
[tex]\mathbf{6x(3x + 11) = 6x \times 3x + 6x \tiimes 11}[/tex]
Evaluate all products
[tex]\mathbf{6x(3x + 11) = 18x^2 + 66x}[/tex]
The expression cannot be further simplified.
Hence, the equivalent of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/15715866
You buy a $266,000 home with a down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment
$
mortgage
$
Answers
Answer:
down is #0.21 while mortage is
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4
Answers
Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12
Answers
9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
Help !!!!!!!!!!!!!!!!’
Answers
What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?
Answers
Step-by-step explanation:
the average rate of change of a function f(x) between two values of x is
(f(x2) - f(x1)) / (x2 - x1)
f(x) = 20× (1/4)^x
x1 = 1
x2 = 2
f(x2) = 20× (1/4)² = 20/16 = 5/4
f(x1) = 20× (1/4)¹ = 20/4 = 5
(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4
the average rate of change is -15/4.
Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.
Answers
I wrote notes on this question a while ago
C=cookies to make
C+8=15
C+8-8+15-8
C+0=7
C=7
Check:7+8=15
15=15
Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8
Answers
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
1.2×2.8
= (2-0.8)(2+0.8)
= (2)^2 - (0.8)^2
= 4 - 0.64
= 3.36
Answer:3.36
Hope it helps.
Do comment if you have any query
What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.
Answers
Answer:
9 unitsStep-by-step explanation:
Given two points:
(4, 7) and (4, - 2)The distance between them is the difference of y- coordinates since x- coordinates are same:
7 - (- 2) = 7 + 2 = 9
using agona} John ran 6/7 per day, he already for 8days. what is the total distance that he ran for 8 days ?
Answers
4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex]
Answers
Answer:
4(-8x+5) - (-33x-26)
-32x+20+33x-26
collect like terms
-32x+33x+20-26
=x-6
Step-by-step explanation:
x-6
Which of these accurately describes the motion of the train?
Answers
Answer:
C
Step-by-step explanation:
For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.
Find the missing number.of 2/4÷5/7= 2/4×7/5=
Answers
[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]
[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]
[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]
[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]
THE RESULT IS 7/10
Answer:
The solution is:
2/4÷5/7 = 7/102/4×7/5 = 7/10Step-by-step explanation:
2/4÷5/7
= 2/4×7/5
= 1/2×7/5
= 7/10
2/4×7/5
= 1/2×7/5
= 7/10
Find the slope of the line that passes through:
(5, -10) and (5,-4)
Answers
Answer:
Undefined
Step-by-step explanation:
you use the slope formula
m = y2 - y1 / x2 - x1
substitute
m = -4 - (-10) / 5 - (-5)
subtract 5 from 5
- 4 - (-10) / 0
The expression contains a division by 0. The expression is undefined.
37+78(3)= ???
What is Answer for it ?
Answers
Answer:
271 is the answer of your question