Answer:
c
Step-by-step explanation:
ok
Gavin's dog had a litter of puppies. All of the puppies in this litter were either yellow or black. If there was one less black puppy, the ratio of yellow puppies to black puppies would be 2/3. If there was one more black puppy, the ratio of yellow puppies to black puppies would be 1/2. How many puppies were in the litter?
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = \(\frac{2}{3}\)
\(\frac{y}{b-1}=\frac{2}{3}\)
2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = \(\frac{1}{2}\)
\(\frac{y}{b+1}=\frac{1}{2}\)
2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
Eddie works in the data processing department at the local medical center. He is required to keep a weekly time card. Use the information in the figure below to calculate the number of hours worked for a) each day and b) the week.
comment to get Employee time card information link:
The weekly time card is an illustration of tables and charts
Eddie works 40 hours each week
How to determine the hours worked each day
From the employee time card (see attachment), the hours worked each day is represented with red ink.
So, the hours worked each day are:
Monday = 8 hoursTuesday = 8.25 hoursWednesday = 7.5 hoursThursday = 8.25 hoursFriday = 8 hoursHow to determine the hours worked each weekTo do this, we add up the hours worked each day.
So, we have:
\(Weekly = 8 + 8.25 +7.5 + 8.25 + 8\)
\(Weekly = 40\)
Hence, Eddie works 40 hours each week
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BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
Simplify to create an equivalent expression.
Answer:
-69q+74
Step-by-step explanation:
The correct answer is C. A and the rest are incorrect hope this helps :)
Answer:
-69q+74
Step-by-step explanation:
i know im late but could i have a brainliest cause i just need two more to level up :> its alright if not
a moth's color is controlled by two alleles, g and g, at a single locus. g (gray) is dominant to g (white). a large population of moths was studied, and the frequency of the g allele in the population over time was documented, as shown in the figure below. in 1980 a random sample of 2,000 pupae was collected and moths were allowed to emerge. assuming that the population was in hardy-weinberg equilibrium for the g locus, what percentage of moths in the natural population was white in 1962 ? responses 2% 2% 4% 4% 8% 8% 20% 20% 64%
The frequency of a given allele, g, in the population is defined as the ratio of the number of copies of that allele to the total number of copies of all alleles.
The proportion of homozygous dominant (GG), heterozygous (Gg), and homozygous recessive (gg) individuals in a population can be calculated using the following equations:
GG = p2
Gg = 2pq
gg = q2
Where p is the frequency of the G allele, q is the frequency of the g allele, and p + q = 1.Since g is recessive, the frequency of white (gg) moths in the population is q2. The frequency of the g allele can be calculated using the following formula:
p = 1 - q
Given that the population was in Hardy-Weinberg equilibrium for the g locus, we can assume that the allele frequencies remained constant over time.
As a result, we can use the frequency of the g allele in 1980 to estimate its frequency in 1962. Using the frequency of the g allele in 1980 as p, we can use the Hardy-Weinberg equations to determine the frequency of the g allele in 1962:
p = 0.54q = 0.46
Using these frequencies, we can calculate the proportion of white moths in the population in 1962:
q2 = 0.46 x 0.46 = 0.2116 = 21.16%
Therefore, the percentage of moths in the natural population that was white in 1962 was approximately 21.16%.Option E is correct (64%).
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What is x in this equation 7(x-3)=28
Answer:
7
Step-by-step explanation:
Answer:
7 is correct answer
Step-by-step explanation:
\(7(x - 3) = 28 \\ 7x - 21 = 28 \\ 7x = 28 + 21 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7\)
hope it helped you:)
What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
Forty percent of a number is greater than one-half the number decreased by 15. Which inequality can be used to determine the number?A 40x > x /2 - 15B 40x > 2x - 15C 0.40x > x/2 - 15D 0.4x < x/2 - 15
The inequality can be used to determine the number is C . 0.40x > x/2 - 15
Given :
Forty percent of a number is greater than one-half the number decreased by 15.
And we need to find the number that is used to determine the inequality.
Now, According to the question:
What is Inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Let us consider x be that unknown number.
We have divide it into two parts.
First, forty percent of the number and it can be written as 40%x or 0.40x.
Next is one-half the number is 1/2 x or x/2
When we combine the whole statement,
Then we get the inequality,
=> 0.40x > x/2 - 15
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what is the domain of the function on the graph?
Answer: All real
Step-by-step explanation:
The domain is all real numbers because it does not have any restrictions are the that y>or equal to 2. This restriction is on the range and not the domain.
Note: Domain is x values and Range is y values.
Ann needs to make a total of 80 deliveries this week. So far she has completed 8 of them. What percentage of her total deliveries has Ann completed
Answer:
10%
Step-by-step explanation:
Shira posts a joke on her social network page. Four of her
friends repost the joke on their pages. Four of each of their friends also repost the
joke, and so on. How many people will post the joke on the ninth round?
Answer:
262 144
Step-by-step explanation:
At each round, there are four times more people reposting the joke. Therefore, we have 4^{9} = 262 144 people reposting the joke on ninth round.
Answer:
65536 (people)
Step-by-step explanation:
Each new count is found by multiplying the previous one by 4. This is a geometric sequence. The general geometric sequence model a(n) = a(1)*r^(n -1) becomes
a(n) = 1*4^(n - 1)
On the 9th round, a(9) people will post the joke:
a(9) = 1*4^(9 - 1) = 65536 (people)
What is 25% off of $60 is equal to
Answer:
15
Step-by-step explanation:
Answer:
25% of 60 is 15
Step-by-step explanation:
let me know if it's correct
Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the domain and range. (x+2)^(2)+(y-3)^(2)=16
The center of the circle described by the equation and graphing the equation as per the provided details can be given as (-2,3).The radius can be computed as 4. The domain for x in this equation would be [-6, 2], and the range for y would be [-1, 7].
Given equation of a circle is (x+2)² + (y-3)² = 16.This is in the standard form of the equation of a circle (x-h)² + (y-k)²
= r²Where (h, k) represents the center of the circle and r represents the radius. Thus, the center of the circle is (-2,3) and the radius is √16 = 4.
Graphing the equation, we obtain the following diagram: Graphing the equation (x+2)² + (y-3)² = 16 From the above graph, we can see that the circle has a center at (-2,3) and a radius of 4.
Therefore, the center and radius of the circle can be given as (-2,3) and 4, respectively.
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please help me out here !
Answer:
you have a 1/6 chance to get anything between l and Q
Step-by-step explanation:
The reason being that their is 6 and each have one so there is an equal chance for all of them,
4. Ayla purchased two pairs of jeans for $30.50 and a shirt for $20.75. She paid with a one hundred dollar bill
How much change will Ayla get back?
851.25
$48.75
$81.75
$18.25
Answer:
i believe its $48.75
Step-by-step explanation:
I didn't know if each pair of jean was 30.50 each. I just did 30.50 + 20.75 to get 51. 25. Then i subtracted that from 100, 100- 51.25, to get 48.75
Convert 40.64 centimeters to inches. 1inch =2.54 centimeters
How many atoms of H is in 300g H2O
Answer:
\(1.003*10^{25}\)
Step-by-step explanation:
We'll be using Avogadro's number which defines the amount of atoms in a mole.
To find the mole amount, we use the atomic mass to find the molar mass because the atomic mass represents how many grams are in a single mole of any element
2 Hydrogen atoms have an atomic mass of 2.016 g
1 Oxygen atom has an atomic mass of 15.999 g
Adding these two numbers gives us H2O's molar mass, which is 18.015 g/mol (grams per mole).
Now we take the supplied mass of 300g and divide it by the mm (molar mass) to find the amount of moles we have. 300/18.015 = 16.653
We have 16.653 moles in 300g of H2O.
Now we have to multiply 16.653 by Avogadro's number, \(6.022 * 10^{23}\)
This gives us: \(1.003*10^{25}\)
7. Find the value of x. (AB = 8) (show work pls)
Answer:
Step-by-step explanation:
when GDK goes up GD goes down
MATHS HELP ME SOLVE THIS
The required simplified measure of the y in the angle y + 10 is y = 132.
What are supplementary angles?Supplementary angles are two angles whose measures add up to 180 degrees. In other words, if angle A and angle B are supplementary then A + B = 180 degrees.
Here,
y + 10 and 38° are the supplementary angles,
As we know, the sum of the supplementary angles is equal to 180°.
So,
y + 10 + 38 = 180
Simplifying the above expression,
y = 180 - 48
y = 132
Thus, the required simplified measure of the y in the angle y + 10 is y = 132.
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Find the difference.
The difference is 1 inches.
1 Which questions below can be answered using the line
plot in the example above? Circle all that apply.
A In 3 months, it rained the same amount. What is the
difference between that amount and the amount in
the month when it rained the most?
B What was the total amount of rainfall for the year?
In how many months did it rain more than 2 inches?
D How much rainfall occurred in January?
2 Look at the choices you circled in problem 1. Which can
be solved using subtraction? What is the solution? Explain.
HELPP!!!1 Two angles are complementary. One angle is 47 degrees. What is the measure of the other angle?
Answer:
43°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
One angle is 47 degrees.
\(90-47=\boxed{43}\)
The measurement of the other angle would be 43°.
Hope this helps.
The measure of other angle is 43 degree.
What is complementary angles?Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.
Given that.
Two angles are complementary.
Now consider one angle = x degree
And other angle = y degree
Then according to question,
Measure of angle x = 47 degree
We know that,
The sum of complementary angles are equal to 90 degree.
Therefore,
x + y = 90
x + 47 = 90
x = 90 - 47
x = 43
Hence, the other angle is = 43 degree.
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Please help!! Due now
The answer is 5. This is the y intercept
What the measure of AB
Answer:
Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.
Help on gradpoint!!!
I think the 3rd one, please let me know if I'm wrong. I don't want to give others the incorrect answer.
Step-by-step explanation:
2 x -3 (x) - 1 (y) - 2 x -1 (z) = -5
Answer:
(-3,1,-1)............
The table below shows the percentage of the U.S. labor force in unions for selected years between 1955 and 2005 .
Year
1955
1960
1965
1970
1975
1980
1985
1990
1995
2000
2005
%
33.2
31.4
28.4
27.3
25.5
21.9
18.0
16.1
14.9
13.5
12.5
b. Make a scatter plot of the data. Which kind of polynomial model seems to be most appropriate?
Error while snipping
Answer: 1955 and 2005 .
Year
1955
1960
1965
1970
1975
1980
1985
1990
1995
see if i help u now ?
Step-by-step explanation:
A family consisting of three persons - A, B, and C goes to a medical clinic that always has a doctor at each of three stations 1, 2, and 3. During certain week, each member of the family visits the clinic once and is assigned at random to a station. Experiment consists of recording the station number for each member. One outcome is (1, 2, 1) for A to station 1, B to station 2, and C to station 1. (a. ) List the 27 outcomes in the sample space. (b. ) List all outcomes in the event that all three members go to the same station
(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)
(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)
(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:
(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),
(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),
(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)
(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:
(1,1,1), (2,2,2), (3,3,3)
In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.
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Use the Law of Syllogism to write new conditional statement, if
possible. "If a book is more than 200 pages, I will not read it. A book
is 210 pages."
Answer:
hh
Step-by-step explanation:
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X . Also, calculate the expected value of X . Round solution to three decimal places, if necessary. x 6 8 9 15 P ( x ) 0.64 0.14 0.14 0.08 μ = σ 2 = σ = What is the expected value of X ? E ( X )
Answer:
Expected value or mean = \(E(x) = \mu = 7.42\)
Variance = \(\sigma^2 = 6.283\)
Standard deviation = \(\sigma = 2.506\)
Step-by-step explanation:
We are given the following information:
x | P(x)
6 | 0.64
8 | 0.14
9 | 0.14
15 | 0.08
The expected value or mean is given by
\(E(x) = \mu = x \cdot P(x) \\\\E(x) = \mu = 6 \cdot 0.64 + 8 \cdot 0.14 + 9 \cdot 0.14 + 15 \cdot 0.08 \\\\E(x) = \mu = 7.42\)
The variance is given by
\(\sigma^2 = \sum (x - \mu)^2 \cdot p(x)\)
\(\sigma^2 = (6 - 7.42)^2 \cdot 0.64 + (8 - 7.42)^2 \cdot 0.14 + (9 - 7.42)^2 \cdot 0.14 + (15 - 7.42)^2 \cdot 0.08 \\\\\sigma^2 = 1.291 + 0.0471 + 0.349 + 4.596 \\\\\sigma^2 = 6.283\)
The standard deviation is given by
\(\sigma = \sqrt{\sum (x - \mu)^2 \cdot p(x)} \\\\\sigma = \sqrt{\sigma^2} \\\\\sigma = \sqrt{6.283} \\\\\sigma = 2.506\)
Therefore,
Expected value or mean = \(E(x) = \mu = 7.42\)
Variance = \(\sigma^2 = 6.283\)
Standard deviation = \(\sigma = 2.506\)
A client presents in the Emergency Department with a suspected MI. Which medications should be given as soon as possible
In the case of a suspected myocardial infarction (MI) in a client presenting in the Emergency Department, certain medications should be administered as soon as possible to improve outcomes.
When a client presents with a suspected MI, time is of the essence in initiating appropriate treatment to minimize damage to the heart muscle and improve outcomes. The administration of aspirin is a priority as it helps prevent further blood clot formation. Aspirin inhibits platelet aggregation, reducing the risk of thrombus formation in the coronary arteries.
Nitroglycerin is another medication that should be given promptly. Nitroglycerin helps relieve chest pain by dilating coronary arteries and improving blood flow to the heart. It also helps reduce preload and afterload, thereby decreasing the workload on the heart.
In cases where the client experiences severe pain despite aspirin and nitroglycerin administration, morphine can be administered to alleviate pain and reduce anxiety. Morphine also helps dilate blood vessels, which can further improve blood flow to the heart.
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"A client presents in the Emergency Department with a suspected myocardial infarction (MI). Which medications should be given as soon as possible to improve outcomes?"
The total cost (in dollars) of producing x food processors is C(x)=1900+60x−0.3x^2
(A) Find the exact cost of producing the 31st food processor.
(B) Use the marginal cost to approximate the cost of producing the 31st food processor.
A) The exact cost of producing the 31st food processor is $3771.70. B) Using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1900 + 60x - 0.3x^2:
C(31) = 1900 + 60(31) - 0.3(31)^2
C(31) = 1900 + 1860 - 0.3(961)
C(31) = 1900 + 1860 - 288.3
C(31) = 3771.7
Therefore, the exact cost of producing the 31st food processor is $3771.70.
(B) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. Mathematically, it is the derivative of the cost function C(x).
Taking the derivative of C(x) = 1900 + 60x - 0.3x^2 with respect to x, we get:
C'(x) = 60 - 0.6x
To approximate the cost of producing the 31st food processor using the marginal cost, we evaluate C'(x) at x = 31:
C'(31) = 60 - 0.6(31)
C'(31) = 60 - 18.6
C'(31) ≈ 41.4
The marginal cost at x = 31 is approximately 41.4 dollars.
To approximate the cost, we add the marginal cost to the cost of producing the 30th food processor:
C(30) = 1900 + 60(30) - 0.3(30)^2
C(30) = 1900 + 1800 - 0.3(900)
C(30) = 3700
Approximate cost of producing the 31st food processor ≈ C(30) + C'(31)
≈ 3700 + 41.4
≈ 3741.4
Therefore, using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
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F
E
B
D
a. Identify at least two pairs of congruent angles in the figure and explain how you know they are
congruent.
Answer:
A,B,C,D,E,F
Step-by-step explanation:
So it's A,D