Luke is doing a Science Fair project. He observes that the cells double every 6 hours. If he starts with 50 cells, how many will he have
in 48 hours?
1800 cells
20
30,720 cells
ОООО
21
600 cells
12,800 cells
shhehshehehehhehehehhehehhhhhehehehehhehehehhehehehehh|heh help
Exercise 14A Water Table Contours:
Locate the point (section 20 south half of the map (encircled) and determine the depth that a well would need to be drilled to access the water table (given the water table contours (see Exercise 14A (Questions 1 and 2)).
In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
To locate the point in question, refer to section 20 on the south half of the map where it is encircled. Next, examine the water table contours provided in Exercise 14A. Identify the contour line that intersects with the encircled area. This contour line represents the depth of the water table at that point.
To determine the depth a well would need to be drilled to access the water table, measure the vertical distance from the ground surface to the identified contour line. This measurement corresponds to the required depth for drilling the well.
Therefore, In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
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5 Given sinu cos -- with u in quadrant II and v in quadrant III. Sketch 13 the triangles and find the exact values of c. sin(u + v) b. tan(u + v) c. cos (u-v) d. csc (u-v)
Given sin u = 5/13 and cos v = -12/13, with u in quadrant II and v in quadrant III.Sketch the triangles and find the exact values of:(a) sin(u + v)(b) tan(u + v)(c) cos(u - v)(d) csc(u - v)
sin(u + v)We know that sin(u + v) = sin u cos v + cos u sin vsin(u + v) = (5/13)(-12/13) + (-12/13)(-5/13) = -60/169 - so, the exact value of sin(u + v) is -60/169. Sketch of triangles: triangle u and triangle v(b) tan(u + v)We know that tan(u + v) = (sin u cos v + cos u sin v) / (cos u cos v - sin u sin v)tan(u + v) = (-60/169)/( -65/169) = 60/65 - so, the exact value of tan(u + v) is 12/13.
Sketch of triangles: triangle u and triangle v(c) cos(u - v)We know that cos(u - v) = cos u cos v + sin u sin vcos(u - v) = (-12/13)(5/13) + (-5/13)(-12/13) = 144/169 - so, the exact value of cos(u - v) is 144/169.Explanation: Sketch of triangles: triangle u and triangle v(d) csc(u - v)We know that csc(u - v) = 1/sin(u - v)csc(u - v) = 1/(cos u cos v - sin u sin v) = - 169/60 - so, the exact value of csc(u - v) is - 169/60. Sketch of triangles: triangle u and triangle v
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8) A normally distributed set of population scores has a mean of 65 and a standard deviation of 10.2. The mean, of the sampling distribution of the mean, for samples of size 48 equals _________.
9) For the population and sample size given in question 8, the standard error of the mean equals _________.
For samples of size 48, the mean of the sampling distribution of the mean is 65 and the standard error of the mean is approximately 1.477.
As given, A normally distributed set of population scores has a mean of 65 and a standard deviation of 10.2. Therefore, μ = 65 and σ = 10.2For samples of size n = 48, the mean of the sampling distribution of the mean will be the same as the population mean: μ_M = μ = 65 Hence, the mean of the sampling distribution of the mean is 65.
9) For the population and sample size given in question 8, the standard error of the mean can be calculated using the formula: SEM = σ/√where σ = standard deviation of the population = sample size Substituting the values in the formula, we get: SEM = 10.2/√48 ≈ 1.477Hence, the standard error of the mean is approximately 1.477.
Answer: For samples of size 48, the mean of the sampling distribution of the mean is 65 and the standard error of the mean is approximately 1.477.
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a) The post office sells an unlimited number of 2-cent stamps and 5-cent stamps. Prove that for any integer n ≥ 4, we can buy exactly n cents worth of stamps. (This is a "cans of juice" problem.)
b) In this question, we fix a real number r with the following
properties:
(i) r ≥1;
(ii) r is a solution to the equation r2 = r + 1. Recall that the Fibonacci numbers {fn}n∈Nare defined by:
f0 = 0, f1 = 1 and fn= fn−1 + fn−2 for n ≥2.
Prove that for all n ≥1, we have fn≥rn−2.
(Hints: In your solution, r should appear several times and you should use the assumption that r has properties (i) and (ii). It is not necessary to find the value of r, but if you’re stuck you might want to do so in order to compute some examples.)
All the possible n cents tickets greater than 4 is given as n >= 4
What is a Real Number?A real number is a numeric quantity which occupies a designated point on the real number line. Featuring not only rational digits, but also irrational figures such as pi and the square root of 2, these elements can be assigned either a positive, negative, or zero value; in addition, they may be expressed using decimal fractions, percentages, or scientific notation.
Essential to many scientific routines and engineering applications, real numbers are frequently employed across various mathematical operations.
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I am confused with this math problem its asking me to Put the steps in the correct order to solve the equation:
Answer:
the correct order from top to bottom is
3 then 2 then 1 then 4
Helpppppp and explain tooo thank you :)
Answer:
{5, 6, 7}
Step-by-step explanation:
When we have a given relation, the domain is the set of inputs, and the range as the set of the outputs.
so for a function f(x), and a domain {a. b. c}
The range is:
{f(a), f(b), f(c)}
In this case, we have:
f(x) = x + 6
and the domain is {-1, 0, 1}
Then the range is:
{ f(-1), f(0), f(1) }
{-1 + 6, 0 + 6, 1 + 6}
{5, 6, 7}
The correct option is the third one.
what the metric system of measurement is based on the number?
The metric system of measurement is based on the number 10.
This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.
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Find the value of x if Sin80 = Cos( 90 -x)
Please help
Please answer I would really appreciate it
I will choose your answer as the brainliest
Answer:
80
Step-by-step explanation:
\( \sin(80) = \cos(10) \\ 90 - x = 10 \\ x = 80\)
researchers examined a random sample of 331 patients who had recovered from traumatic brain injuries resulting in coma. the patients were given an iq test shortly after awakening from their coma. their average iq score was 88. iq scores are designed to be normally distributed with mean 100 and standard deviation 15 in the general population. does the study provide evidence that patients who have recently recovered from a coma have a lower iq score, on average, than the general population?evaluate carefully the information provided.who/what are the individuals studied?what is/are the variable(s) described?what is the study's stated objective? the null hypothesis for the corresponding test is:
The IQ scores of patients who have recently recovered from a coma are equal to the average IQ scores of the general population. Mathematically, H0 can be represented as follows:
H0: µ = 100, where µ represents the population means IQ score.
Individuals studied: The individuals studied were 331 patients who had recovered from traumatic brain injuries resulting in a coma.
Variable: The variable described is the IQ score.
Objective: The objective of the study is to determine whether the IQ scores of patients who have recently recovered from a coma are lower than the average IQ scores of the general population.
Null hypothesis for the corresponding test: The null hypothesis (H0) states that there is no significant difference between the average IQ scores of patients who have recently recovered from a coma and the average IQ scores of the general population.
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1. An equation and the first step in its solution are shown.
Equation: x2 + 3x - 9 = 0
Step 1: x2 + 3x + h = 9+ h
What value of his used to solve the equation by the method of completing the square?
The value of h used to solve the equation by completing the square is 2.25.
To solve the equation x^2 + 3x - 9 = 0 using the method of completing the square, we add a constant term (h) to both sides of the equation to create a perfect square trinomial on the left side. The value of h that is used in this step depends on the coefficient of the x term (3).
To determine the value of h, we take half of the coefficient of the x term, square it, and add it to both sides of the equation. In this case, the coefficient of the x term is 3, so:
Step 1: x^2 + 3x + h = 9 + h
To find the value of h, we take half of 3, which is 3/2 or 1.5. We square 1.5 to get 2.25. So, the value of h used to solve the equation by completing the square is 2.25.
Please note that this is the value used in the specific step mentioned, and further steps may be required to complete the solution of the equation.
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Is the following statement true or false?
When you find the square root of a negative number the answer will be negative
A. True
B. False
Answer:
False
Step-by-step explanation:
No we can't find the square root of negative number.
Hope it helped you
Please Mark me the brainliest
Can someone help me?
answer
a 17× + 5× + 16 + 7
b 22× + 23
Step-by-step explanation:
the perimeter of a shape is calculated by adding up all the the sides.
part a asks you to use all four lengths so just place them side by side with the addition sign.
in part b you are asked to simplify it so you have to add the like terms. 17× and 15x add up to 22 and 16 and 7 add up to 23.this is the simplest we can go since 22x and 23 are not like terms.
hope this helps :)
A vector
A
has components A
X
=83 m and A
y
=32 m. What is the magnitude of vector
A
?
The magnitude of vector A of the following components AX and AY is 88.95m
In this question we will apply the pythagoras theorem which will be depicted as
\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)
where , R = resultant magnitude of vector
AX and AY are the components of vector
As per the question
AX = 83m
AY = 32m
Putting the values in the equation (1) we get
\(R= \sqrt{83^{2} +32^{2} }\)
\(R =\sqrt{6889+1024}\)
\(R=\sqrt{7913}\\\)
R = 88.95m
Thus the magnitude of vector A for the following components is 88.95m
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Please help, thanks :) (Question is attached below)
Answer:
Step-by-step explanation:
the upper left graph is the correct answer
because "... or equal to" always represents a filled dot, while just "greater/less than" represents blank dot
he expected to have 15 customers each day. to answer whether the number of customers follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha
To determine whether the number of customers, which is expected to be 15 each day, follows a uniform distribution, a chi-square test for goodness of fit should be performed with a specified significance level (alpha).
The chi-square test for goodness of fit is used to determine if observed data follows an expected distribution. In this case, we want to test whether the number of customers each day, which is expected to be 15, follows a uniform distribution.
To perform the test, we need to collect data on the number of customers over a period of time and compare it to the expected uniform distribution. The observed frequencies for each category (e.g., the number of days with 0 customers, 1 customer, 2 customers, etc.) would be obtained.
Then, the chi-square test statistic can be calculated based on the observed and expected frequencies. The test statistic measures the discrepancy between the observed and expected distributions.
To interpret the test results, we compare the calculated chi-square value to the critical chi-square value at the chosen significance level (alpha). If the calculated chi-square value exceeds the critical value, we reject the null hypothesis and conclude that the number of customers does not follow a uniform distribution. Conversely, if the calculated chi-square value does not exceed the critical value, we fail to reject the null hypothesis, indicating that the number of customers can be considered to follow a uniform distribution.
Please note that the specific calculations and decision-making process require additional data and the use of statistical software or tables to obtain the critical chi-square value.
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Which symbol can be used to correctly compare the two fractions?
Use >, <, or =.
Enter your answer in the box
1/4 15/100
Answer:
>
Step-by-step explanation:
1/4 = 25/100 so this value is greater than 15/100.
1/4 > 15/100
To study the use of cannabis among youth ( 15−24 years) in British Columbia, the police department visited several colleges and high schools and selected a random sample of students to be interviewed. A uniformed police officer did the interview. One of the questions asked was "Did you ever use cannabis?" a) What may be the population of interest here? [ 1 mark] b) What is the sampling frame? [ 1 mark] c) The result of this survey will most likely be biased because many students who have used cannabis will be afraid to say so to a uniformed police officer. What type of bias is this? Explain your answer. [2 marks] d) The sampling frame used could also lead to a bias. What kind of a bias could it be?
The population of interest in this study is the youth population aged 15-24 years in British Columbia.
b) The sampling frame in this study is the list of colleges and high schools that were visited by the police department.
c) The bias in this survey is called social desirability bias.
Many students who have used cannabis may be afraid or hesitant to admit it to a uniformed police officer due to social stigma, fear of legal consequences, or other reasons.
This can lead to underreporting or inaccurate reporting of cannabis use.
d) The bias that can result from the sampling frame used is known as selection bias.
The sample of students selected may not be representative of the entire youth population in British Columbia.
For example, if certain schools or colleges were excluded from the sampling frame, it may not provide a comprehensive representation of all youth in the province.
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Which graph shows a linear function?
Answer:
top right
Step-by-step explanation:
because
the moellers drove from new york to san francisco, a distance of 3,000 miles. the first day, they drove of the distance and of the remaining distance on the second day. how many miles did they have remaining to reach their destination?
The Moellers had 1,500 miles remaining to reach their destination. On the first day, the Moellers drove 1/2 (or 0.5) of the 3,000 miles, which is 1,500 miles. This means they had 1,500 miles remaining to reach their destination.
On the second day, they drove 1/4 (or 0.25) of the remaining 1,500 miles, which is 375 miles. Therefore, they had 1,125 miles remaining to reach their destination after driving 1/2 on the first day and 1/4 on the second day.
Based on the given information, the Moellers drove 1/3 of the distance on the first day and 1/4 of the remaining distance on the second day. Let's calculate the remaining distance to reach their destination:
Total distance: 3,000 miles
First day: 1/3 of 3,000 miles = 1,000 miles
Remaining distance after the first day: 3,000 - 1,000 = 2,000 miles
Second day: 1/4 of 2,000 miles = 500 miles
Remaining distance after the second day: 2,000 - 500 = 1,500 miles
So, the Moellers had 1,500 miles remaining to reach their destination.
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please help me this was due yesterday (slopes) (brainliest)
The answer would be C because X=5,y=\(\frac{17}{3}\) Is equivalent to the missing values
HELP ME PLEASE ILL GIVE BRAINLIST
Answer:
I would say that the last one is False and A and C are true.
Hope this works.
What is the average rate of change for the wages earned between 12 and 30 hours
Number of Hours Wages
12 $675.00
15 $843.75
23 $1,293.75
30 $1,687.50
Answer:
9586
Step-by-step explanation:
What's the area of this figure?
Answer:
136.5 yd²
Explamation:
You break the shape into squares and rectangles and find the area of them and then add them together. To get the area of a triangle you add another half to it to make a square or rectangle. After you've done that, find the area of that shape and then divide it by 2.
The image of the point (-3, -5)(−3,−5) under a translation is (-8, -9)(−8,−9). Find the coordinates of the image of the point (-8, 0)(−8,0) under the same translation.
The coordinates of the image of the point is (-13, -4)
How to determine the coordinates of the image of the pointFrom the question, we have the following parameters that can be used in our computation:
The image of the point (-3, -5) under a translation is (-8, -9)
Using the above as a guide, we have the following:
Translation = (x - 5, y - 4)
Given that
Point = (-8, 0)
substitute the known values in the above equation, so, we have the following representation
Image = (-8 - 5, 0 - 4)
Evaluate
Image = (-13,-4)
Hence, the image is (-13,-4)
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Solve the quadratic equation 3x? + x-5 = 0
Give your answers to 2 decimal places.
Step-by-step explanation:
for x=5
3×0+5-5=0
0+0=0
i don't know i just tried
help please i dont understand
The recursive formula is;
1. a₁ = 16
aₙ = a - 11
2. a₁ = 4
a₂ = 5a
How to determine the value
The formula that is used for calculating the nth term of an arithmetic sequence is expressed as;
an = a + (n -1 )d
Such that the parameters of the formula are;
an is the nth termsa is the first termn is the number of termsd is the common differenceRecursive sequence an = aₙ₋₁+ d.
Now, substitute the values, we get;
1. a₁ = 16
d = -11
when n = 2
aₙ = a₂₋₁ + (-11)
aₙ = a - 11
2. a₁ = 4
r = 5
a₂ = 5a
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teorema de pitagoras AYUDAAA
no entiendo nadaaa
Answer:
Step-by-step explanation:
El teorema de pitagoras establece la siguiente relación:
\(a^{2} +b^{2} =h^{2}\)
el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos , por lo cual la respuesta correcta es la D.
A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there with only one side painted red?
There will be only 6 cubes with only one side painted red.
Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.
According to the question
A 3 cm cube is divided into one centimeter cube.
Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.
Since there are 6 faces,
cubes painted one side red = 6x1=6.
Therefore , There will be only 6 cubes with only one side painted red.
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How could you use the function y = sin 2x to find the zeros of y = tan 2x
To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).
To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).
Given y = tan(2x), we can rewrite it as:
y = sin(2x) / cos(2x)
Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:
sin(2x) = 0
By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.
Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).
To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).
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