Answer:
She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)
Step-by-step explanation:
This problem can be solved by using ratios and proportions.
Step 1: Identify the "knowns" from the "unknown."
It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.
The "unknown" here is the number of phone calls Daisy can make in 1 hour.
Step 2: The values should be plug into the proportion.
[tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]
Step 3: We can now solve the proportion.
[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
Factor 125q^6 − r^6s^3.
Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
You decide to take up a life of crime and plan to break into a bank. You and your buddies have to decide which bank to choose from based on their locked door. One bank has a lock that requires four letters (repetition is not allowed) and the other bank has a lock that requires 6 digits (repetition is allowed). You want to break into the bank with the door that gives you the higher probability of breaking the code. Of those two options, which one has the greater probability of you guessing the code?
Answer:
The first bank with the four letter code has the grater probability of me guessing the code.
Step-by-step explanation:
To break the code for the first bank which uses four letters, since there are 26 letters in the alphabet, and require a four letter code, the first letter can be any of the 26 letters. Since one letter has been taken, we are left with 25 letters for the second position, 24 for the third position and 24 for the fourth position.
So, the total number of ways of selecting the 4 letter code without repetition is ²⁶P₄ = 26 × 25 × 24 × 23 = 358800
Since we have only 1 correct code, this is our required outcome. So, the probability of breaking the code is P = required outcome/total outcome = 1/358800 = 2.787 × 10⁻⁶
To break the code for the second bank which uses 6 digits with repetition, since there are 10 digits, and we require a 6 digit code, each digit can be filled with 10 digits each. Since there is repetition, the total number of ways we can select the 6 digits is (¹⁰P₁)⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.
Since there is going to be only 1 correct code, the number of ways of selecting the correct code is 1.
The probability P' of cracking the second bank code is P' = required outcome/total outcome = 1/10⁶ = 1 × 10⁻⁶
Since P = 2.787 × 10⁻⁶ > P' = 1 × 10⁻⁶, the first bank with the four letter code has the grater probability of me guessing the code.
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221
Answer:
C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
What is the square root of 51.84
Function h(x) = x + 4
If your input was 2, what is your output?
Answer:
h(2)=6
Step-by-step explanation:
just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards
If a zombie sleep for 96436 year but woke up 329 years ago how long did really sleep?
Answer:
96436-329 = 96107
Step-by-step explanation:
During a lunch period, a survey is done about the students at LCHS with the following results:
1 out of 28 students are wearing a blue t-shirt
1 out of 2 students are girls
1 out of 3 students has a class in C Hall
1 out of 14 students are in band
What are the chances (probability) of randomly selecting a female band member wearing a blue t-shirt who has a class in C hall? Show work.
Answer:
1 in 47.
Step-by-step explanation:
Add all of the outcomes (28 + 2 + 3 + 14).
You'll get 47.
Do not add the 1s.
There is your answer.
1 in 47.
Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.
Answer:
60 minutes
Step-by-step explanation:
Given the schedule above :
Red line arrives every 4 minutes
Blue line arrives every 5 minutes
Yellow line arrives every 6 minutes
All three just arrives at the train station ; when next will they all arrive at the train station at the same time.
Obtain the lowest common multiple of each arrov time :
Lowest common multiple of 4, 5, 6
_2___4___5___6
_2___2___5___3
_3___1___ 5 __ 3
_5___1___ 5 __ 1
_____1 ___1 ___1
Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60
Hemce, they all arrive at the train station at the same time after 60 minutes
what is 8.8x10^5 in standard notation?
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
Solve for x: 3(x + 1) = −2(x − 1) − 4.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
Write the slope intercept form (y = mx + b) of the equation of the line through the given points with the given slope. Through:(2,-4), slope =-1
y = mx +c
Substitute the values,
-4 = -1(2) + c
c = -2
Thus, the equation is y= -x -2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
Can anyone help me ?
Caryn Dexter susie and Vinny filled 24 grocery bags with total of 177 cans to bring to the recycling center. Each person had the same number of cans in every one of his or her bags but that number differed from person to person. How many bags did each person fill How many cans were in each of their bags?
Answer:201
Step-by-step explanation:
177+24=201
ax+bx=c solve for x
Answer:
x= c/a+b
Step-by-step explanation:
Can anyone help me out with this Algebra 2 question?
Answer:
i was taught it would be answer D
Step-by-step explanation:
Answer:
The right answer is C
and this how it looks like on the graph
-15b - 20
factorise fully
!!!
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
−2(−x+4) − 3x+2= −5 what is x?
Answer:
−2(−x+4) − 3x+2= −5 what is x? Well i might be wrong but i think its 2x
Step-by-step explanation:
PEMDAS USE THAT METHOD
Answer: x=-1
Step-by-step explanation:
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C