Reciprocal of zero is undefined. So all the real numbers do not have the
reciprocal.
What is a reciprocal?The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.
We have the statement,
''All real numbers have a reciprocal''.
To find a counterexample:
The reciprocal of the number zero will always have the value "undefined".
Since there is no number that, when multiplied by zero, produces the result 1.
If n is a real number, then 1/n will be n's reciprocal.
n = 1,
So, the reciprocal of 1 is 1/1 = 1.
n = -7,
So, the reciprocal of -7 is 1/-7= -1/7.
And n = 1/4
So, the reciprocal of 1/4 is 1/(1/4)= 4/1 = 4.
Hence, reciprocal of zero gives us to disprove the statement.
Therefore, All real numbers have the reciprocal, except zero.
To learn more about the reciprocal;
https://brainly.com/question/15590281
#SPJ1
The side lengths of a 30-60-90 triangle are in the ratio 1: √3:2. What is
cos 60°?
The value of cos60° is 1/2.
What is a 30-60-90 triangle?It is a triangle with constant angles of 30, 60, and 90. This triangle is always a right triangle, as one of the angles is 90 degrees. Thus, a right-angled triangle is formed by these angles. Additionally, the right angle is equal to the sum of two acute angles, which will have a 1: 2 or 2: 1 ratio.
We know,
For a 30-60-90 triangle, the sides opposite to 30° is a, the side opposite to 60° is √3a and the side opposite to 90° is 2a.
Therefore,
If a = 1,
The sides are where,
perpendicular = 1
Base = √3
Hypotenuse = 2
We know cosΦ = Base/ Hypotenuse
But in the case of cos60°, we have to take base as 1 and hypotenuse as 2, that is the angle has to be at base.
Base = 1
Hypotenuse = 2
Therefore,
cos60° = Base/ Hypotenuse
cos60° = 1/2
Therefore, the cos60° = 1/2.
To learn more about 30-60-90 triangle:
https://brainly.com/question/11751274
#SPJ1
The price of a stock steadily decreased by a total of $159 over the past 14 months. Which expression shows the change in the stock's value?
The expression that shows the change in the stock's value is -159 * 14
How to determine the expression that shows the change in the stock's value?From the question, we have the following parameters that can be used in our computation:
Rate of decrement = $159
Duration = 14 months
Using the above as a guide, we have the following:
The expression that shows the change in the stock's value is
Expression = Rate of decrement * Duration
Substitute the known values in the above equation, so, we have the following representation
Expression = -159 * 14
Evaluate the products
Expression = -2226
Hence, the required expression is -159 * 14
Read more about expressions at
https://brainly.com/question/15775046
#SPJ1
Poems Percentage 155155155 \%%percent of 155155155 poems
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
How are percentages calculated ?In order to convert a proportion to a percentage, the number of desired results is divided by the total number of outcomes. The outcome is then 100% multiplied.
The total number of outcomes is presented as follows, taken from the tape diagram provided at the end of the answer:
According to the given information
155 poetry.
The distribution of the 155 poems is as follows:
155/155 x 100% = 100%.
In the 31 poems, there are:
31/155 x 100% = 20%.
Among the 186 poems, there are:
186/155 x 100% = 120%.
So
In this issue, the percentages are described as follows:
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
To know more about percentages
https://brainly.com/question/16797504
#SPJ1
2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ1
is this right
aww we fast
(algebra)
Matthew invests $8,586 in a retirement account with a fixed annual interest rate of 5%
compounded continuously. How long will it take for the account balance to reach $23.457"
For each $23.457" borrowed, you would pay about a year $8,586 in interest, as in the case of a credit card with an APR of 5%.
What does annual interest rate mean?An estimate of the annual cost of borrowing money is the annual percentage rate (APR), which is expressed as a percentage of the principal loan amount. An accurate representation of how much borrowing money will cost is sought after by the annual percentage rate (APR) on a credit card or loan. In a different method, the annual percentage rate (APR) of a given loan is the total annual interest payments divided by the loan's outstanding balance. Assuming a credit card with a 10% APR, you would pay $8,586 in interest for every $23.457" borrowed over the course of a year.To learn more about Annual percentage rate (APR) refer to:
https://brainly.com/question/24715857
#SPJ1
8. Jay pays a flat fee each month for basic cable service. He also pays $ 3.50 for each movie he orders during the month. Last month, he ordered 5 movies and his total bill came to $ 54.
a. Write an equation in point-slope form that b. What is the monthly flat fee Jay pays represents the total bill, y, in terms of the number each month? of movies, x Then simplify it to slope-intercept form.
c. Next month, Jay plans to order 7 movies.
d. This month, Jay's total bill is $ 78.50.
What will be his total bill for the month?
How many movies did he order this month?
Answer:
y=f+3.5x
Step-by-step explanation:
Let the total bill be y
and let the number of movies be x
let the flat fee be f
given that he pays $3.5 per movie
and his total bill is $54
The expression is given bellow for his total bill
y=f+3.5x
For 5 movies his total bill is $54
54=f+3.5(5)
54=f+17.5
54-17.5=f
f=36.5
Therefore the flat fee is $36.5
Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses 36 in. StartFragment, 36 in., 24 in. StartFragment, 24 in., 18 in. StartFragment, 18 in., 4 in.
Answer:.
Step-by-step explanation:
50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
ΔABC is rotated 90° clockwise about the origin.
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
Try to do 1 2 and 3 questions
Not the 4th question
Answer:
1. x=25
2. x=6
3. y=30; x=20
Step-by-step explanation:
1.) 180 - 130 = 2x
2x = 50
x = 50/2 = 25
2.) 24 = 3(x+2)
24 = 3x + 6
3x = 18
x = 18/3 = 6
3.) y = 46 - 16 = 30
x = 180 - 100 - 60 = 20
pls help pls help pls help
Answer:
1.727 x 10^4
Step-by-step explanation:
2.26 x 10^4 = 22 600
5.33 x 10³ = 5330
22 600 - 5330 = 17 270
17 270 = 1.727 x 10^4
Let f(x)=3x-4 and g(x)=x/2+1. Find f(g(x)) of f o g
Answer:
f(g(x)) = 1.5x - 1------------------------------------------
Given functionsf(x) = 3x - 4 and g(x) = x/2 + 1Find f(g(x))Substitute g(x) into x of f and evaluate:
f(g(x)) = f(x/2 + 1) = 3(x/2 + 1) - 4 = 3/2x + 3 - 4 = 1.5x - 1if 47200 dollar is invested at an interest rate of 10 percent per ayear.Find the value o the investment at the end of 5years for the following compunding method,to the nesrset cen.
(a) anually?
(b) semi anual?
(c)monthly?
(d)daily?
Answer:
a. annually
Step-by-step explanation:
anually means yearly, semi anual means twice a year
A social security number contains nine digits, such as 952-56-7606. How many different social security numbers can be formed?
First spot: 9 choices (0-9)
Second spot: 9 choices (0-9)
Third spot: 9 choices (0-9)
.
.
.
Ninth spot: 9 choices (0-9)
There are 9 choices for each digit, meaning we need to compute 9^9 to figure out how many possible social security numbers there are.
Explination:
9^9 = 387420489 possible social security numbers
What is the slope of -15x + 10y = 50?
m = 15
m = 2/3
m = 5
m = 1
m = 3/2
Answer:
[tex] \huge{ \boxed{m = \frac{3}{2} }}[/tex]
Step-by-step explanation:
[tex] - 15x + 10y = 50[/tex]
Equation of a line is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
To find the slope, we must first rewrite the equation in the given form y = mx + c and compare both equations.
[tex] - 15x + 10 y = 50 \\ \\ 10y = 15x + 50 \\ \\ \frac{10y}{10} = \frac{15}{10} x + \frac{50}{10} \\ \\ y = \frac{3}{2} x + 5[/tex]
Comparing it with the general equation y=mx + c,
[tex]m = \frac{3}{2} \\ [/tex]
What is the next number in this sequence ? 1,2,2, 4,8,3,2
The next number in the given sequence is 256
What is Fibonacci sequence?
Leonardo Pisano Bogollo, an Italian, was the first to discover the Fibonacci sequence (Fibonacci). The numbers in the Fibonacci sequence are all whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... Each phrase in this infinite sequence—which has 0 and 1 as its initial values—is the sum of the two terms before it. This pattern has been referred to as "nature's secret code."
Sunflowers, daisies, broccoli, cauliflower, seashells, and other spiral-shaped plants all display the Fibonacci sequence.
Observe that, the terms in the sequence are based on the 2 to the power of the Fibonacci series (0,1,1,2,3,5,8 …)
2^0=1
2^1=2
2^1=2
2^2=4
2^3=8
2^5=32
2^8=256
So, the next number in the given sequence is 256.
To learn more about the Fibonacci sequence from the given link
https://brainly.com/question/29764281
#SPJ1
50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
Quadrilateral A'B'C'D' is a translation of quadrilateral ABCD. What is the length of A'B' ?
Answer:
7
Step-by-step explanation:
A'B' should be equal to AB, as AB corresponds to A'B' in the second image attached. Since AB = 7, A'B' will also equal to 7.
Answer:
Answer A
Step-by-step explanation:
7 units
Gianna is taking a walking tour in her city. the entire tour is 10 1/10 kilometers long. According to an app on her phone, Gianna's average walking rate is 1.6 meters per second.
Part (A) How many meters does Gianna walk each hour?
Part (B) How many kilometers does Gianna walk each hour?
The distances travelled in each hour for both part are given as 5760 m and 5.76 km respectively.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given problem can be solved by ratio method as follows,
(A) The average walking rate is 1.6 m/s
The speed in meter per hour is calculated as,
1 second = 1/3600 hour
Take the ratio of 1.6 and 1/3600 as follows,
1.6 ÷ 1/3600
= 3600 × 1.6
= 5760
(B) The average walking rate is 1.6 m/s
It implies that 1.6 m in 1 second.
Now, 1 m = 1/1000 km
=> 1.6 m = 1.6/1000 km
And, 1 second = 1/3600 hour
Thus, the distance travelled in kilometer per hour can be evaluated by taking the ratio as follows,
1.6/1000 ÷ 1/3600
= (3600 × 1.6)/1000
= 5.76
Hence, the distances travelled per hour in meter and kilometer are given as 5760 m and 5.76 km respectively.
To know more about ratio and proportion click on,
brainly.com/question/14279414
#SPJ1
Barry draws the model below and says it proves that 1,243\3=481. What mistake does Barry make
Answer:
Step-by-step explanation:
You need to show the model so I can answer
If LM bisects JK at point P, which statements must be true? Select all the true statements.
A kiddie pool holds 16 gallons of water. How many pints of water is this equal
The kiddie pool can hold 128 pints of water which is equivalent to 16 gallons.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 gallon is equal to 8 pints.
So, To obtain the number of pints in 16 gallons of water we have to multiply the total no.of gallons with a unitary pint value of 1 gallon which is,
= (16×8) pints.
= 128 pints.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ1
Answer: 128 pints
Step-by-step explanation:
1 gallon is 8 pints, 8 multiplied by 16 equals 128
The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
given the triangle below, select all true statements
Answer:
first and fourth statements are true
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , so
2x + 1 + x + x + 15 = 180 , that is
4x + 16 = 180 ( subtract 16 from both sides ) ← True
4x = 164 ( divide both sides by 4 )
x = 41 ≠ 49
then
∠ A = 2x + 1 = 2(41) + 1 = 82 + 1 = 83° ≠ 99°
∠ C = x + 15 = 41 + 15 = 56° ← True
At which temperature did yeast cells produce the least amount of gas in 15 minutes?
[1]
_________°C
At 90 degree Celsius, yeast cells produce the least amount of gas in 15 minutes.
Given,
The graph shows the effect of temperature on Yeast Respiration
Change in volume of bread dough vs temperature of water bath bath is given in the graph.
We have to find the temperature at which the yeast cells produce the least amount of gas in 15 minutes;
Effect of Temperature on Yeast Respiration;
Yeast will produce more carbon dioxide at higher temperatures, which will result in more bubbles developing. The rate of respiration will decrease whenever the temperature rises above a particular level.
Here,
Compared to 10 degrees, 25 degrees, 50 degrees, and 75 degrees Celsius, the yeast cells produced the least quantity of gas in 15 minutes at 90 degrees.
Learn more about yeast respiration here;
https://brainly.com/question/8004481
#SPJ4
Compensation to find 37×4 please broken down showing work
The product of two given numbers 37 and 4 using distributive property is 148.
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Given that, 37×4.
Using distributive property, we can find the product of two given numbers
That is 37×4
= (30+7)4
= 30×4+7×4
= 120+28
= 148
Therefore, the product of two given numbers using distributive property is 148.
Learn more about the distributive property here:
https://brainly.com/question/5637942.
#SPJ1
-9k+7>=16 and 5-k<=13
The solution to the inequality -9k + 7 ≥ 16 and 5 - k ≤ 13 is -8 ≤ k ≤ -1
How to determine the solution to the inequality?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
-9k+7>=16 and 5-k<=13
Rewrite the above inequality expressions
So, we have the following representation
-9k + 7 ≥ 16 and 5 - k ≤ 13
Evaluate the like terms in the above inequality expressions
So, we have the following representation
-9k ≥ 9 and - k ≤ 8
Divide both sides of the above inequality expressions by the coefficient of x
So, we have the following representation
k ≤ -1 and k ≥ -8
When the solution is merged, we have
-8 ≤ k ≤ -1
Hence, the solution is -8 ≤ k ≤ -1
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Complete question
Solve for k in -9k+7>=16 and 5-k<=13
A technician is setting up a router and would like to increase the security level. Which of the following actions will achieve this? A. Increasing transmission power B. Changing the default admin password C. Installing anti-malware on the router D. Configuring multifactor logon authentication
changing the default admin password will achieve the security level.
What is a router ?
An networking device called a router is used to forward data packets between computer networks. On the worldwide Internet and between networks, routers handle traffic directing. Data packets are the unit of data delivered via a network, such as an email or a web page. An internetwork (such as the Internet) is made up of networks, and a packet is normally passed from one router to another router over those networks until it reaches its destination node.
Default admin password can be known for many people and they can use the internet.
So, changing the default admin password will achieve the security level.
To Learn more about the router form the link:
https://brainly.com/question/24812743
#SPJ1
what is the slope of a line perpendicular to the following line
y=1/3x-2
Answer:
The slope of a line perpendicular to the line y=1/3x-2 is the negative reciprocal of the slope of that line. The slope of the line y=1/3x-2 is 1/3, so the slope of a line perpendicular to it is -3.
Professor Conner recorded a base hit 2 times in his 11 at bats. He is not happy about this. What percentage of the time will he record a base hit?
Round to the nearest whole number.
Remember: this is a percentage, not a proportion. Just type the number. You do not need to type the percentage sign.
Percentage of the time will he record a base hit is 18.
To find the percentage of times that Professor Conner recorded a base hit, you need to divide the number of times he recorded a base hit by the total number of at bats, and then multiply by 100%.
In this case, the percentage of times that Professor Conner recorded a base hit would be
= (2 base hits / 11 at bats) * 100%
= 18.2%.
After Rounding off to nearest whole number it becomes 18%.
What is a Base Hit?
A fair ball hit in such a way that the hitter can reach a base safely without a fielding error by the other side.
To know more about base hit visit: https://brainly.com/question/23480430
#SPJ1
Percentage of the time will he record a base hit is 18.
To find the percentage of times that Professor Conner recorded a base hit, you need to divide the number of times he recorded a base hit by the total number of at bats, and then multiply by 100%.
In this case, the percentage of times that Professor Conner recorded a base hit would be
= (2 base hits / 11 at bats) * 100%
= 18.2%.
After Rounding off to nearest whole number it becomes 18%.
What is a Base Hit?A fair ball hit in such a way that the hitter can reach a base safely without a fielding error by the other side.
To know more about Percentage hit visit:
https://brainly.com/question/843074
#SPJ1
For the following set of data, find the percentage of data within 1
population standard deviation of the mean, to the nearest percent.
58, 58, 50, 64, 59, 62, 58
The percentage of data within 1 population standard deviation of the mean, to the nearest percent is; 71%
How to find the mean and standard deviation?The mean of a data sample is defined as the average of that data sample. The formula for the mean is;
μ= ∑x/n
Thus;
μ = (58 + 58 + 50 + 64 + 59 + 62 + 58)/7
μ = 409/7
μ = 58.429
The standard deviation is defined as a measure of how dispersed the data is in relation to the mean. It is gotten from the formula;
σ = √[Σ(xi - μ)²/N]
Solving this with a standard deviation calculator gives;
σ = 4.065
Thus, 1 standard deviation from the mean is;
58.429 ± 1(4.065)
= (54.364, 62.494)
The values that fall in this range from the given data set are;
58, 58, 59, 62, 58
They are 5 in number out of 7 and so the percentage = (5/7) * 100%
= 71.43%
Read more about mean and standard deviation at; https://brainly.com/question/26941429
#SPJ1