Answer:
y = 2x + 4
Step-by-step explanation:
y = mx+b
m represents the slope, and b is the y-intercept
The slope is 2 as it's going up 2 unit squares each time, and the b is 4 because that's where the y-axis gets intercepted.
so the answer is y = 2x + 4
Answer:
Hii have a another app thatcan helpyouu can download mathscanner hope ithelps
six is what percentage of ten?
Answer: 60%
Step-by-step explanation:
6/10 = 60/100 = 60%
Answer: 60%
Step-by-step explanation:
6/10=60/100
A pharmaceutical company wants to test the effectiveness of a new allergy drug. The company identifies 250 females 30-35 years old who suffer from severe allergies. The subjects are randomly assigned into two groups. One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug. After six months, the subjects' symptoms are studied and compared. Answer parts (a) through (c) below.
After six months, the subjects' symptoms are studied and compared. Answer parts are given below.
What is the hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
Given:
A pharmaceutical company wants to test the effectiveness of a new allergy drug.
The company identifies 250 females 30–35 years old who suffer from severe allergies.
The subjects are randomly assigned into two groups.
One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.
After six months, the subjects' symptoms are studied and compared.
Here, 30-35 year-old girls are used to test the new allergy medication's effects.
(a)
Females between the ages of 30 and 35 who are the test subjects are the experimental units.
The new allergy medication, whose results are being studied, is the remedy.
It's best to choose C.
(b)
A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.
In this case, choice B is preferable.
(c)
If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.
In this case, choice A is preferable.
Therefore, all the correct choices are given above.
To learn more about the hypothesis;
brainly.com/question/29519577
#SPJ1
The complete question is given in the image.
Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in
Answer:
29.9 inches squared
Step-by-step explanation:
I just took this and got the answer right!!
There are 50 members in the North Carolina.this is 70 fewer than the number in North Carolina House of Representatives.how many members are in the North Carolina house representatives?
Given data:
Number of members in North Carolina = 50
Unknown:
Number of members in North Carolina house of representatives = ?
To solve this problem, the second sentence is very important; let us construe it.
Let the number of members in North Carolina house of representatives = N
Then,
Number of members in North Carolina = N - 70
Since it is 70 fewer;
So, input the given number of members in North Carolina;
50 = N - 70
N = 50 + 70 = 120
Number of members in North Carolina house of representatives is 120.
helppppppppppppppp meeeeeeeeeee
Answer: 6 Is the answer
Step-by-step explanation:
The reason I say its 6 is because 3x2 is 6. Or you can divide 3 from 2 which is 1.5Answer:
42 square feet
Step-by-step explanation:
If you turn the shape into a trapezoid, rectangle and triangle you can figure out the area for each one.
1. The area of a rectangle is b⋅h or 7⋅3 and you get 21.
2. The area of a triangle is 1/2⋅bh or 0.5 ⋅ 3 ⋅2 and you get 3.
3. The area of a trapezoid is 1/2(b1 + b2) ⋅ h or 0.5 ⋅ (6 + 3) ⋅ 4 and you get 18.
4. Then you add all areas together(18+3+21) and get 42.
Hope this helps!
Somebody help plz!!!
Answer:
42°
Step-by-step explanation:
angle b is complementary to 48° so their sum is 90°.
Answer:
42
Step-by-step explanation:
48 + b = 90
90 - 48 = 42
b = 42
suppose that the series cn xn has radius of convergence 13 and the series dn xn has radius of convergence 14. what is the radius of convergence of series (cn dn)xn ?
The radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.
Radius=a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. the length of such a line.
The radius of convergence of the sum of the two series will be 5.
sigma (cnxn + dnxn) = sigma cnxn + sigma dnxn, and if both the series on the right-hand side converge.
The LHS converges for values of x on which both the series on the RHS converge. Hence, the LHS will converge on the intersection of the convergence of the two RHS series.
( if 5 < |x| < 6, the second series will converge, but the first will not.)
The series sigma cnx9n has radius of convergence R raised to the power 1/9.The series sigma cnxn has radius of convergence R. This means that it converges for |x| < R.The series sigma cnx9n can be written as sigma cn(x9)n
This means that the series converges for |x9| < R.
Therefore, the radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.
learn more about radius here
https://brainly.com/question/24375372
#SPJ4
PLEASE HELP!
Which of the following measures can have more than one value for a set of data?
-Mode
-Mean
-Median
Answer:
Mode
Step-by-step explanation:
The median and mean can only have one value for a given data set. The mode can have more than one value
Answer:
Step-by-step explanation:
The volume of a large tank is 210 ft3. It is 6 2/3 ft wide and 2 4/5ft high. What is the length of the tank?
Multiply the width by the height:
6 2/3 x 2 4/5 = 18 2/3 square feet.
Now divide the volume by that number:
210 / 18 2/3 = 11 1/4
The length of the tank is 11 1/4 feet
Answer: not sure
Step-by-step explanation:
yep.
diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. in 1983, about 1900 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005?
According to the growth factor, starting value and the number of years passed, the number of people who would have died is 12.94×10⁷.
The number of people who would have died from AIDS in 2005 will be calculated by the formula -
f(t) = a×\( {b}^{t} \). In this formula, f(t) is the number of cases that occured in the mentioned number of years and t is the number of years between the start and year in question. a is strating value and b is growth.
t = 2005 - 1990
Performing subtraction on Right Hand Side of the equation
t = 15 years
Keep the values in formula
f = 1900 × 2.1¹⁵
Calculating the power
f = 1900 × 68,122.32
Performing multiplication on Right Hand Side of the equation
f = 12.94 × 10⁷
Thus 12.94×10⁷ people would have died.
Learn more about growth factor -
https://brainly.com/question/27161222
#SPJ4
Find the surface area of the two following figures. Show all your work.
Answer:
First shape: 366 in^2
Second shape: 376 in^2
Pretty sure these are correct, hope this helps!
What is the length of the missing leg? If necessary, round to the nearest tenth
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
The Pines Golf Course is offering free ice cream cones to golfers who hit their tee shot on the green at the
7
7th hole.
The following bar graph summarizes the tee shots from this morning.
Based on this data, what is the probability that a tee shot ends up on the green?
Probability
=
=
.16
Note: Write your answer as a decimal rounded to the nearest hundredth.
The probability that a golfer will get a free ice cream cone by hitting the green on the 7th hole is approximately 0.16 or 16%.
To find the probability that a tee shot ends up on the green, we need to determine the fraction of all tee shots that landed on the green.
Looking at the bar graph, we see that out of the total 125 tee shots, 20 of them landed on the green. Therefore, the probability of a tee shot ending up on the green is:
Probability = (Number of tee shots on green) / (Total number of tee shots) = 20/125 ≈ 0.16
Rounding to the nearest hundredth, we get Probability ≈ 0.16.
Therefore, the probability that a golfer will get a free ice cream cone by hitting the green on the 7th hole is approximately 0.16 or 16%.
for such more question on probability
https://brainly.com/question/13604758
#SPJ11
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. (true or false)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.
The above statement is True.
Eigenvalue:
An eigenvalue is a special set of scalar values associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.
According to the Question:
If the geometric multiple of the eigenvalues is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.
Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is
Ax = λx.
Learn more about Eigenvalue:
https://brainly.com/question/29749542
#SPJ4
Hakeem is going to invest in an account paying an interest rate of 3.5% compounded
continuously. How much would Hakeem need to invest, to the nearest hundred
dollars, for the value of the account to reach $3,700 in 15 years?
The principal investment required to get a total amount of $3,700.00 from compound interest at a rate of 3.5% per year compounded 365 times per year over 15 years is $2,287.26.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Given Data
Rate = 3.5%
Final Amount = $3,700
Time = 15 Years
First, convert R as a percent to r as a decimal
r = R/100
r = 3.5/100
r = 0.035 per year,
Then, solve the equation for P
P = A / (1 + r/n)^nt
P = 3,700.00 / (1 + 0.035/365)(365)^(15)
P = 3,700.00 / (1 + 0.00010137)^(4745)
P = $2,287.26
Learn more about compound interest here:
brainly.com/question/24924853
#SPJ1
give a geometric description of the following set of points. (x-24)^(2) y^(2) z^(2)-64 = 0
The set of points satisfying the equation (x-24)²y²z² - 64 = 0 is the intersection of three parabolas centered at (24, 0, 0), (0, 0, 0), and (0, 0, 0) in the x, y, and z directions, respectively. This intersection forms a three-dimensional surface in space.
The given equation, (x-24)²y²z² - 64 = 0, can be rewritten as:
(x-24)²y²z² = 64
Let's analyze the equation term by term to understand its geometric description:
(x-24)² represents a parabola in the x-axis centered at x = 24. It opens upward and has its vertex at (24, 0). The squared term ensures that the value is always positive.
y² represents a parabola in the y-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.
z² represents a parabola in the z-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.
Multiplying these parabolas together means that for a point (x, y, z) to satisfy the equation, all three parabolas need to have a value of 1, resulting in a product of 1.
To learn more about parabola : brainly.com/question/11911877
#SPJ11
solve for s -7s+3s-6=14
Answer:
s=-20/3
Step-by-step explanation:
Line the numbers
Answer:
s=-\(\frac{20}{3}\)
Step-by-step explanation:
Exact Form:
s=−\(\frac{20}{3}\)
Decimal Form:
s=−6.6 repeating
Mixed Number Form:
s=−6\(\frac{2}{3}\)
peter drive 320 miles in 8 hours . calculate his average speed .
Answer: 40
Step-by-step explanation:
You will take the miles he drove and divided it by the time it took him to get there
320/8=40
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
Jacob used 3 pears and 12 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the fruit salad?
Answer:
it would be 4 apples to 1 pear
Step-by-step explanation:
Answer:
3:12
It is really easy if you order it right.
The following data follows the functional form y-ax sin(2Tx) X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44 (a) Determine a and b by the method of least squares Determine (b) the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit. (c) Plot the fit on log-log paper along with the data.
Determining (a) a and b by the method of least squares: a = 1.084 and b = 3.061. (b) The standard deviations of a and b: σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).
(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.
(b) The standard deviations of a and b can be calculated using the following equations:
σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))
σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))
Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.
(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.
To know more about logarithm, refer here:
https://brainly.com/question/30226560#
#SPJ11
Complete question:
The following data follows the functional form y-ax sin(2Tx)
X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44
(a) Determine a and b by the method of least squares
(b)Determine the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.
(c) Plot the fit on log-log paper along with the data.
Please help me out- I cannot do math correctly-
Answer:
mark a dot on (0,3) and another dot on (-4, 0) then put a line through them
3 is the y-intercept so you put a mark on 3 then you go down 3 and left 4 which is (-3/-4) a negative and a negative gives you a positive
.05 times 6 its hard
Answer: 0.3
Hope this helps.
Answer:
0.3
Step-by-step explanation:
Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
To know more about Number visit:
brainly.com/question/3589540
#SPJ11
the amount of food prepared for a catered event depends on the number of people attending. which variable is the explanatory variable? [1 point]
The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.
One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.
In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.
Therefore, the required answer is the number of people attending.
To know more about independent variables:
https://brainly.com/question/1479694
#SPJ4
A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expresses the continuous exponential growth of the number of bacteria as a function of time, t, in hours.
Answer:
y= 8000x + 2000
Step-by-step explanation:
to find the formula we can use the points given in the question:
the slope:
to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria
now using slope-intercept form we can get \(\frac{18000-2000}{2-0}\) which gives a slope of 8000 meaning for each hour there are 8000 new bacteria
intercept:
since we start with 2000 bacteria we know this is the y intercept so when x is 0
formula:
y=8000x + 2000
Volume of a cone rh, curved surface area of a cone = xr!] [Volume of a spheresurface area of a sphere 4ar']
The solid is formed from a hemisphere of radius rcm fixed to a cone of radius rcm and height hem. The volume of the hemisphere is one third of the volume of the solid.
(a) Find h in terms of r
(b) The slant height of the cone can be written as Vk cm, where k is an integer.
Find the value of k
(c) Find an expressionin terms of r and x, for the total surface area, in cm², of the solid
Answer:
Long solution
Step-by-step explanation:
(a) Let the height of the cone be h cm. The volume of the hemisphere is given by (1/2)(4/3)πr³ = (2/3)πr³. The volume of the solid is the sum of the volumes of the hemisphere and the cone, which is (2/3)πr³ + (1/3)πr²h. Since the volume of the hemisphere is one third of the volume of the solid, we have:
(2/3)πr³ = (1/3)πr²h
Simplifying, we get:
2r = h
Therefore, h is expressed in terms of r as h = 2r.
(b) The slant height of the cone can be found using the Pythagorean theorem. Let l be the slant height, then we have:
l² = r² + h²
Substituting h = 2r, we get:
l² = r² + (2r)² = 5r²
Taking the square root of both sides, we get:
l = r√5
Since k is an integer, we can write:
l = Vk cm, where k is an integer
Comparing the two expressions, we get:
Vk = r√5
Therefore, the value of k is k = ⌊r√5⌋, where ⌊x⌋ denotes the largest integer less than or equal to x.
(c) The total surface area of the solid is the sum of the curved surface area of the cone, the curved surface area of the hemisphere, and the area of the circular base of the cone. We have:
Curved surface area of the cone = πr l = πr(r√5) = πr²√5
Curved surface area of the hemisphere = 2πr²
Area of the circular base of the cone = πr²
Therefore, the total surface area of the solid, in cm², is given by:
πr²√5 + 2πr² + πr² = (πr²)(√5 + 3)
Suppose two equally strong tennis players play against each other until one player wins three games in a row. The results of each game are independent, and each player will win with probability 1 2 . What is the expected value of the number of games they will play?
The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.
Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.
The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.
To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.
We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.
Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
can someone help me please
Answer:
B and E
Step-by-step explanation:
3^-8/3^-4 = 1/81 or .01234567...
I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.
3^-12 = 1/531441 <- not the answer
3^-4 = 1/81 <- answer!
3^2 = 9
1/3^2 = 1/9
1/3^4 = 1/81
1/3^12 = 1/531441
its also good to remember
3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.
Hope this helps!
\(B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ \)
Step-by-step explanation:
\( \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: \)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)