The temperature in degrees celcius in which bacteria cannot survive is greater than 3.66
Subject of formulaThis is a way of representing a variable with another
Given the inequality below;
q/5 C + 32 ≥ 120
Substitute C = 120oF
q/5(120) + 32 ≥ 120
24q + 32 ≥ 120
24q ≥ 120 - 32
24q ≥ 88
q ≥ 88/24
q ≥ 3.66
Hence the temperature in degrees celcius in which bacteria cannot survive is greater than 3.66
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whats the whole fraction for 7/12
Answer:
7/12
Step-by-step explanation:
Charles buys 60 packs of pens.
There are 12 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 40p but he only manages to sell
2
3
of the pens.
How much profit did he make
If $1 is 3% and $2 is 7% and w1 is 0.1, beta of the portfolio is
The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.
The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.
To calculate the beta of the portfolio, we use the following formula:
β(portfolio) = (w1 * β1) + (w2 * β2) + ...
In this case, the portfolio contains two assets, so the formula becomes:
β(portfolio) = (w1 * β1) + (w2 * β2)
Substituting the given values:
β(portfolio) = (0.1 * 3%) + (0.9 * 7%)
β(portfolio) = 0.3% + 6.3%
β(portfolio) = 6.6%
Therefore, the beta of the portfolio is 6.6%.
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Over a 10-year period, the population of one city changed from 3.2 million to 2.8 million. What was the percent change in the city's population?
==========================================================
Explanation:
The decrease is 0.4 million since 3.2 - 2.8 = 0.4
Divide this decrease over the initial population
0.4/3.2 = 0.125
This converts to 12.5% when you move the decimal 2 spots to the right.
The population decreased by 12.5%
Please help me with my algebra homework.
Solve log x = 3
a. x=3
b. x=30
c. x=1,000
d.x=10,000
Answer:
c. x=1,000
Step-by-step explanation:
log x = 3
Imagine that it's log10 x = 3
So, x = 10^3 (10 to the third power)
x = 10 * 10 * 10
x = 1,000
a(describe how to simplify the radical in wordsb(simplify the radical completely
ANSWER and EXPLANATION
a) To simplify the radical, we have to:
1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.
2) Next, we separate the numbers into two radicals and find the square root of the perfect square.
3) Finally, we find the product of the number and the remaining radical.
B) Following the steps above:
STEP 1
\(\sqrt[]{98}=\sqrt[]{49\cdot2}\)STEP 2
\(\begin{gathered} \sqrt[]{49}\cdot\sqrt[]{2} \\ 7\cdot\sqrt[]{2} \end{gathered}\)STEP 3
\(7\sqrt[]{2}\)find the value of 5/32 divided by 25/4. show your reasoning
Answer:
Step-by-step explanation:
we can use reciprocals to solve this
(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025
rewrite
so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication
heres an example
x/2=0.5x
y/4=0.25y
so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y
same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)
now we multiply numerator by numerator to get 20
and we multiply denominator by denominator to get 800
20/800 = 2/80 = 1/40
Please help, I will give you brainliest answer!
Answer:
2 rocks
Step-by-step explanation:
2 crates + 2 rocks = 1 crate + 4 rocks
2 crates + 2 rocks = 2 crates + 8 rocks
Hence, 1 crate = (8-4)÷2
= 2 rocks
Between which two numbers is Negative two-thirds located on a number line?
A number line going from negative 5 to positive 3 in increments of 1.
–4 and –3
–3 and –2
–2 and –1
–1 and 0
Answer:
-2 and -1
Step-by-step explanation:
A city's yearly snowfall in inches over the last 5 years is recorded.
What is the mean of the snowfall in the last 5 years and how can it be interpreted?
Responses:
A mean of 25 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 25 inches yearly the last 5 years.
A mean of 25 shows that the data values are spread out. It represents that the city's snowfall has been exactly 25 inches each year for the last 5 years.
A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly the last 5 years.
A mean of 27.2 shows that the data values are spread out. It represents that the city's snowfall has been exactly 27.2 inches each year for the last 5 years.
Year Snowfall (inches)
2015 25
2016 27
2017 25
2018 29
2019 30
Answer:
A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly over the last 5 years.
Step-by-step explanation:
The mean, also known as the average, is the sum of all the data values divided by the number of data points. In this case, the mean of 27.2 inches indicates that, on average, the city has experienced a snowfall of approximately 27.2 inches per year over the last 5 years. The fact that the mean is close to the individual values of 25, 27, 25, 29, and 30 inches suggests that the data points are relatively close together and do not deviate significantly from the mean, indicating that the snowfall in the city has been relatively consistent over the past 5 years.
The Ultra Boy tomato plant sold by the Stokes Seed Company claims extraordinary quantities from this variety of tomato plant. Ten such plants were studied with the following quantities per plant. 1. 32, 46, 51, 43, 42, 56, 28, 41, 39, 53 Find the mean and median number of tomatoes.
The mean number of tomatoes for the Ultra Boy tomato plant is calculated by adding up all the quantities and dividing by the total number of plants, which is 10 in this case. So, the mean is (32+46+51+43+42+56+28+41+39+53)/10 = 43.1 tomatoes per plant.
To find the median number of tomatoes, we need to first arrange the quantities in numerical order: 28, 32, 39, 41, 42, 43, 46, 51, 53, 56. The median is the middle number in this list, which is 43.
Therefore, the median number of tomatoes for the Ultra Boy tomato plant is 43.
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Solve for all values of x in simplest form.
|2x + 2) – 2 = 10
the sum of three numbers is 6. the third number is the sum of the first and second numbers. the second number is 7 more than the first number. find the three numbers
Answer:
-2, 5, 3
Step-by-step explanation:
A + B + C = 6
C = A + B
A + 7 = B
Now replace each of the letters with what we know
A + (A + 7) + (A + (A + 7)) = 6
Combine like terms
4A + 14 = 6
4A = -8
A = -2
A + 7 = B, so B = 5
C = A + B, so C = 3
Solve: 121−−−√. Round to nearest tenth, if needed.
Answer:
11
Step-by-step explanation:
The square root of 121 is 11. Remember 11 to the power of 2
At 11 AM, one share of Starbucks stock was $20. By 4 PM the price was $18.
The rate the Starbucks stock value was changing is $0.00
per hour.
Answer:
.40 cents per hour. it dropped $2 over 5 hours. 4×5=20 so .40×5= 2.00
PLEASE HELP DUE TODAY!!
Answer:
The correct equation is
\(4d + 12 = 28\)
Point Pis on line segment OQ.Given OQ = 4s – 10, OP = 23, and PQ = I,determine the numerical length of OP.
P
OQ = 4S - 10
OP = 23
PQ = 1
Equation
OQ = OP + PQ
Substitution
4S - 10 = 23 - 1
Simplification
4S = 22 + 10
4S = 32
S = 32/4
S = 8
Determine OP
OQ = 4(8) - 10
OQ = 32 - 10
OQ = 22
i have no clue what this one is can someone help
Answer:
the answer is b
Step-by-step explanation:
radius is half the number of diameter
A cylinder has a volume of 960 pi and a height 15 in What is the radius of the cylinder?
Answer:
4.51
Step-by-step explanation:
if quadrilateral ABCD ~ quadrilateral PQRS, find BC
Answer:
i do believe it is 18.2
Step-by-step explanation:
cross multiply 10/6.5 28/x
Help 39 point pic below Math
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
Lo is leaving from work today at 3:30 p.m. She has errands to run before she meets her friends for dinner at 8 p.m. If it takes Lo of an hour to run each errand, how many errands does she have time to run between work and dinner?
Answer:
she will need to take 4 errands!
Step-by-step explanation:
What is the answer to 3x^2 +30x+75
in a stopwatch time study, the number of cycles that must be timed is a function of: (i) the variability of observed times. (ii) the desired accuracy for the estimated job time. (iii) the desired level of confidence for the estimated job time.
To calculate the number of cycles we need above 3 options
Stop Watch Time Study:
Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.
A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.
Given that
In a stopwatch time study, the number of cycles that must be timed is a function of:
options are
(i) the variability of observed times.
(ii) the desired accuracy for the estimated job time.
(iii) the desired level of confidence for the estimated job time
To calculate the number of cycles we need above 3 options
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7. Which correctly describes the graph shown
below?
A. Linear; function
B. Non-linear; function
C. Non-linear; not a function
D. Linear; not a function
PLS HELP !
Answer:
A) linear; function
Step-by-step explanation:
hope this helps and hope you have a good day and please mark me brainliest
Trina downloaded 3 music albums and 5 audio books one week at a cost of $49.60. the next week she downloaded 1 music album and 2 audio books at a cost of $20.50. her mother wants to write a system of equations to determine the price of one music album and one audio book. she uses the variables x and y. she lets x represent the cost of one music album. what will y represent? y = cost of 1 music album y = cost of 1 audio book y = cost of 3 music albums y = cost of 5 audio books
y will stand for the price of a single audiobook.
A recording of a book or other work being read aloud is known as an audiobook (or a talking book). Readings of condensed versions are referred to as abridgements, whereas readings of the entire text are referred to as "unabridged."
Since the 1930s, spoken audio has been accessible in public libraries, schools, and to a lesser extent, music stores. Before the advent of cassettes, CDs, and digital audio, many spoken word albums were created, frequently featuring plays and poetry rather than novels
Given,
Three music albums and five audiobooks cost $49.60
and,
one album and two audiobooks cost $20.50.
There being two unknowable values,
The first is the price of a single album of music.
The second is the price of a single audiobook.
We are aware that when determining an unknown value, a variable is used.
In the case when x stands for the price of one music album, then y must stand for the price of one audio album.
Therefore, y stands for the price of a single audiobook.
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Answer:
B. y = cost of 1 audio book
explanation:
edge 2023
At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? explain. Write an equation to represent this relationship.
Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.
Given:
At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.
y varies directly as x :
y = kx
k = constant of proportionality
y = 2.56 and x = 32
y = kx
k = y/x
= 2.56/32
k = 0.08
substitute k we get
y = 0.08x.
so x and y are directly proportional.
Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.
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Most hospitals, universities and other institutions where research is conducted have formal committees to review research plans prior to starting a research study. In the United States these committees are often called:
In the United States, the formal committees responsible for reviewing research plans prior to initiating a research study are commonly referred to as Institutional Review Boards (IRBs).
Institutional Review Boards (IRBs) play a crucial role in ensuring the ethical conduct of research involving human subjects. These committees are typically found in hospitals, universities, and other research institutions. IRBs are responsible for reviewing and approving research proposals to protect the rights and welfare of participants involved in the studies.
The primary function of an IRB is to evaluate the ethical aspects of research, including the study design, procedures, informed consent process, potential risks and benefits, and the qualifications of the researchers involved. IRBs assess whether the proposed research meets the ethical guidelines and regulatory requirements established by organizations such as the U.S. Department of Health and Human Services (HHS) and the Food and Drug Administration (FDA).
By conducting thorough reviews, IRBs ensure that research studies adhere to ethical principles, such as respect for autonomy, beneficence, and justice. Their oversight helps to safeguard the rights and well-being of research participants and promotes responsible and ethical research practices.
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Use the following information to answer #6-7: Sharon is painting a wall. The table below shows the number of hours of painting and the amount of a wall painted in square feet.
The given information is an illustration of a linear function; such that:
6. The equation of the function is: \(y = 16x\)
7. It takes 16 hours to paint an area of 256 square feet
Given that:
\(\left[\begin{array}{cccccc}Time&4&9&25\\Amount&64&144&400\end{array}\right]\)
Let:
\(x \to\) Time
\(y \to\) Area of a wall
6. The equation of the table
First, calculate the slope (m) of the table:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{144-64}{9-4}\)
\(m = \frac{80}{5}\)
\(m = 16\)
The equation is then calculated using:
\(y = m(x - x_1) + y_1\)
This gives:
\(y = 16(x - 4) + 64\)
\(y = 16x - 64 + 64\)
\(y = 16x\)
7. Time spent for an area of 256 square feet
This implies that:
\(y = 256\)
So, we have:
\(y = 16x\)
\(256 = 16x\)
Divide both sides by 16
\(16 = x\)
\(x = 16\)
Hence, Sharon will spend 16 hours to paint 256 square feet
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I'm been doing this question about an hour still can't solve so I really need your help! Really appreciate if u do :D
Explanation:
1 hat = 45 dollars
6 hats = 6*45 = 270 dollars
1 phone = 40 dollars
4 phones = 4*40 = 160 dollars
total = $270 + $160 = $430
Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430
In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.