Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
a = 7 - 3 = 4 unitsNow, it's focus can be represented as ;
\(\qquad \sf \dashrightarrow \: (3 + ae, - 5 )\)
so,
ae + 3 = 9and we know, a = 4
\(\qquad \sf \dashrightarrow \: 4e + 3 = 9\)
\(\qquad \sf \dashrightarrow \: 4e = 6\)
\(\qquad \sf \dashrightarrow \: e = \cfrac{3}{2} \)
Now, let's find the measure of semi - conjugate axis (b)
\(\qquad \sf \dashrightarrow \: {b}^{2} = {a}^{2} ( {e}^{2} - 1)\)
\(\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9}{4} - 1)\)
\(\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9 - 4}{4} )\)
\(\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{5}{4} )\)
\(\qquad \sf \dashrightarrow \: {b}^{2} = 20\)
\(\qquad \sf \dashrightarrow \: b = \sqrt{20} \)
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
\(\qquad \sf \dashrightarrow \: \cfrac{ {(x - h)}^{2} }{ {a}^{2} } - \cfrac{( {y - k)}^{2} }{ {b}^{2} } = 1\)
[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]
\(\qquad \sf \dashrightarrow \: \cfrac{ ({x-3)}^{2} }{ {16}^{} } - \dfrac{ {(y+5)}^{2} }{ { {20} }^{} } = 1\)
Hello and Good Morning/Afternoon:
Let's solve this problem step-by-step:
Let's find the format of the standard form of hyperbole:
\(\hookrightarrow \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1\)
(h,k): hyperbole center ⇒(3,-5)Let's find the value of a, b:
value of a: distance between vertex (7, -5) and center (3, -5)\(a = \sqrt{(7-3)^2+(-5--5)^2} =\sqrt{16} =4\)
value of b: \(\sqrt{c^2-a^2}\)⇒value of c: distance between focus (9, -5) and center (3, -5)
\(c = \sqrt{(3-9)^2+(-5--5)^2}=\sqrt{36} =6\)
⇒ therefore:
\(b = \sqrt{c^2-a^2} =\sqrt{6^2-4^2}=\sqrt{20}\)
Let's plug everything into our standard form of the equation:
\(\frac{(x-3)^2}{4^2} -\frac{(y--5)^2}{(\sqrt{20})^2 } =1\\\frac{(x-3)^2}{16} -\frac{(y+5)^2}{20 } =1\) <== Answer
Hope that helps!
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Sort your group´s collection into three categories. You can experiment with different ways of arranging these categories. Then, count the items in each category, and record the information in the table
Therefore , the solution of the given problem of Inline view comes out to be this query is present in the FROM clause of other SELECT statement.
How to record information in the table?Inline view:-It is not a real view instead it is a sub-query or a SELECT statement in the FROM clause of the of another select statement. In the query provided we have a sub - query which is displaying category and Average of retail from the books table and this query is present in the FROM clause of other SELECT statement.
Here.
Given :
You can experiment with different ways of arranging these categories. Then, count the items in each category, and
record the information in the table
Thus , the solution of the given problem of Inline view comes out to be
this query is present in the FROM clause of other SELECT statement.
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Write the equation for (-8, -8), with a slope if three
Answer:
Part--1:
We know that a equation in point-slope form is represented by:
y-y1=m
where m is the slope of the line and is a point through which the line passes.
Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
help i’m so confused on what’s the difference in rays and lines
Rays: BD, AC, CA, AB. Lines: AC
How to differentiate between a ray and a line?A line is a straight path of points that has no beginning or end
A ray is a portion of a line which has one endpoint and extends forever in one direction
Let's put the definitions:
Note: the arrow is an indication no endpoint
So we have ray BD (it starts from the dot at B and the arrow shows it extends forever in the direction of D)
We have ray AC (it starts from the dot at A and the arrow shows it extends forever in the direction of C)
We also have ray CA (it starts from the dot at C and the arrow shows it extends forever in the direction of A)
Then ray AB (it starts from the dot at A and the arrow shows it extends forever in the direction of B)
Then line AC (it's bounded by 2 arrows, so it has no endpoint)
Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer
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ASAPP PLEAASSEE!!!
Nathan deposits $940 every 2 months into his daughter's RESP. If the account earns 3.99% / annual, compound quarterly, how much will be in the account after 25 years?
There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (amount in the account after 25 years)
P = Principal amount (amount deposited every 2 months)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.
Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.
Now, we can substitute these values into the formula:
A = 940(1 + 0.0399/4)^(4*25)
Calculating the exponent first:
(1 + 0.0399/4)^(4*25) ≈ 2.703236
Now, substituting the calculated exponent and the number of deposits into the formula:
A = 940 * 2.703236 * 150 ≈ $594,311.34
Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.
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I’ll mark brainliest tysm
-13 EX: 2(-4) - 5 = -8 -5 = -13
-7
-1
1
3
THESE ARE THE ANSWERS
A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with
the sides of the tent.
26 ft
20 ft
The central pole forms a right triangle with the floor of the tent. The
the length of the side of the tent, which is
Applying
is
V
of the missing angle is the ratio of the length of the central pole to
we find that the angle the tent pole makes with the sides of the tent
The angle the pole makes with the tent is 39.7°.
What is an angle?
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.
Angles formed by two rays are located in the plane containing the rays.
Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.
Let θ represent the angle the pole makes with the tent.
Using trigonometric ratios:
cos(θ) = 20/26
θ = 39.7°
Therefore, the angle the pole makes with the tent is 39.7°.
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9. Difference between the place values of "1" in 3116365 is
M(3,-4) is the midpoint between R(x,y) and S(6,0). Find the coordinates of R
Answer:
R = (0,-8)
Step-by-step explanation:
Let's look at the difference between S, and the midpoint M.
S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)
Next, take M, and subtract N from it.
M(3,-4) - N(3,4) = (0,-8). This is the value of R.
Maria makes a fruit salad. The table shows the amounts of different kinds of fruit that she uses. Kind of Fruit Amount Grapes 3 2/3 cups Melon 2 1/4 cups Pineapple 23/4 cups Strawberries? The amount of strawberries that Maria uses is 3/8 times the amount of the other fruits combined. How many cups of strawberries does Maria use?
Proportionately, the number of cups of strawberries that Maria needs to use is 3¹/₈ cups.
What is proportion?Proportion refers to a part of a whole.
Proportion is a ratio of one value to another.
Proportions are depicted as decimals, fractions, or percentages.
In this situation, we know that the amount of strawberries is a fractional value of the combined fruits.
Thus, we can multiply the fraction of strawberries against the combined value of the other fruits to determine the number of cups of strawberries needed.
Kind of Fruit Amount
Grapes 3²/₃ cups
Melon 2¹/₄ cups
Pineapple 2³/₄ cups
Total of other fruits = 8²/₃ cups
Strawberries ?
Strawberries = 3¹/₈ (8²/₃ x ³/₈)
Thus, Maria needs 3¹/₈ cups of strawberries.
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solve 8x=5x+3 pls pls pls
Answer:
x = 1
Step-by-step explanation:
8x = 5x + 3
Subtract 5x from both sides
8x - 5x = 5x - 5x + 3
Simplify
3x = 3
Divide both sides by 3
3x/3 = 3/3
Simplify
x = 1
What is the remainder when 3x^3-5x^2-23x+24 is divided by x-3?
The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.
What is Polynomials?Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.
Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.
By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.
Let's check this using division algorithm.
Dividend = 3x³ - 5x² - 23x + 24
Divisor = x - 3
Quotient = 3x² + 4x - 11
Remainder = -9
By division algorithm,
Dividend = (Divisor × Quotient) + Remainder
3x³ - 5x² - 23x + 24 = [(x - 3) (3x² + 4x - 11)] + -9
= [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9
= 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9
= 3x³ - 5x² - 23x + 24
Hence -9 is the remainder of this division process.
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Why is it useful to write an equation in slope-intercept form before graphing the function?
As a result οf answering the given questiοn, we may state that Overall, equatiοn expressing an equatiοn in slοpe-intercept fοrm can help yοu grasp and graph a functiοn mοre easily.
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides separated by an equals sign (=). Fοr example, the equatiοn "2x + 3 = 9" argues that the expressiοn "2x + 3" is equal tο the value "9". The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that make the equatiοn true.
Simple οr cοmplex equatiοns, linear οr nοnlinear, and invοlving οne οr mοre variables are all pοssible. Fοr example, the quadratic equatiοn "x²+ 2x - 3 = 0" invοlves the variable x raised tο the secοnd pοwer. Equatiοns are utilised in many areas οf mathematics, such as algebra, calculus, and geοmetry.
Befοre graphing the functiοn, write an equatiοn in slοpe-intercept fοrm (y = mx + b). This prοvides infοrmatiοn οn the slοpe and y-intercept οf the line, which are twο crucial pieces οf infοrmatiοn.
The y-intercept, denοted by "b" in the equatiοn, indicates where the line intersects the y-axis. This is the pοint at which x equals 0.
The slοpe determines the distance between the y-intercept and anοther pοint in the x-directiοn. The graph οf the equatiοn can then be cοmpleted by drawing a straight line thrοugh these twο spοts.
Overall, expressing an equatiοn in slοpe-intercept fοrm can help yοu grasp and graph a functiοn mοre easily.
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
The average student loan debt for college graduates is $26,000. Suppose that that distribution is normal and that the standard deviation is $12,300. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.
a. What is the distribution of X? X ~ N(
b Find the probability that the college graduate has between $24,900 and $30,950 in student loan debt.
c. The middle 20% of college graduates' loan debt lies between what two numbers?
Low: $
High: $
Using the normal distribution, it is found that:
a. X ~ N(26000, 12300).
b. 0.1913 = 19.13% probability that the college graduate has between $24,900 and $30,950 in student loan debt.
c. Low: $22,888, High: $29,112.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Item a:
The mean is of $26,000, hence \(\mu = 26000\).The standard deviation is of $12,300, hence \(\sigma = 12300\).Then, the distribution is:
X ~ N(26000, 12300).
Item b:
The probability is the p-value of Z when X = 30950 subtracted by the p-value of Z when X = 24900, hence:
X = 30950:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{30950 - 26000}{12300}\)
\(Z = 0.4\)
\(Z = 0.4\) has a p-value of 0.6554.
X = 24900:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{24900 - 26000}{12300}\)
\(Z = -0.09\)
\(Z = -0.09\) has a p-value of 0.4641.
0.6554 - 0.4641 = 0.1913
0.1913 = 19.13% probability that the college graduate has between $24,900 and $30,950 in student loan debt.
Item c:
Between the 40th percentile(low) and the 60th percentile(high).The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253.Then, the 40th percentile is found as follows.
\(Z = \frac{X - \mu}{\sigma}\)
\(-0.253 = \frac{X - 26000}{12300}\)
\(X - 26000 = -0.253(12300)\)
\(X = 22888\)
For the 60th percentile:
\(Z = \frac{X - \mu}{\sigma}\)
\(0.253 = \frac{X - 26000}{12300}\)
\(X - 26000 = 0.253(12300)\)
\(X = 29112\)
Hence:
Low: $22,888, High: $29,112.
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18. If Allan swims at an average speed of 2
metres per second, how long will it take
him to complete a 200 metre race?
Answer:
100 seconds
Step-by-step explanation:
200/2 = 100s
Mrs Tan paid $39 for 4 cups and 3 bowls. Each bowl cost 3 times as much as each cup. How much did she pay for each bowl?
Answer: Mrs Tan paid $9 for each bowl.
Step-by-step explanation:
Let's first assume the cost of each cup is x, then the cost of each bowl is 3x (since each bowl costs 3 times as much as each cup). According to the problem, Mrs Tan paid $39 for 4 cups and 3 bowls. So we can set up the following equation:
4x + 3(3x) = 39
This simplifies to:
4x + 9x = 39
13x = 39
x = 3
So one cup costs $3.To find out how much each bowl costs, we can simply substitute x = 3 into the expression 3x:
3(3) = 9
So each bowl costs $9.Therefore, Mrs Tan paid $9 for each bowl.
She Paid $9 For Each Bowl
━━━━━━━━━━━━━━━━━━━━━━
ㅤㅤ [ LET :: ]
ㅤ
➔ Cost Of 1 Cup = $x
➔ Cost Of 1 Bowl = $3x
ㅤ
ㅤㅤ [ THEN :: ]
ㅤ
➔ Cost Of 4 Cups = $4x
➔ Cost Of 3 Bowls = $(3×3) = $9x
ㅤ
ㅤㅤ [ ATQ :: ]
ㅤ
\(\begin{gathered} \; \; \sf{:\longmapsto{4x + 9x = 39}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{13x = 39}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{x = \cancel{\dfrac{39}{13}}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\orange{\frak{x = 3}}}}} \; \pmb{\bigstar} \\ \\ \end{gathered}\)
ㅤ
Substituting The Value Of (x)\(\begin{gathered} \\ \; \; \dag \; {\underline{\underline{\sf{Cost \; Of \; Each \; Bowl:-}}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\${(3 \times 3)}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\frak{ \: \: \: \$ \: {9} \: \: \: }}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\)
\(\bf{\pmb{\underline{\rule{170pt}{5pt}}}}\)
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
tell me what number is π
Answer: approximately 3.14
Step-by-step explanation: In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT
Answer:
4
Step-by-step explanation:
4 sets of strings will cost:
4×5=20
He will have $2 left over. Not enough to buy another set.
Or 5x<=22 DIVIDE BOTH SIDES BY 5
x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets
A class consists of 90 women and 20 men. If a student is randomly selected, what is the probability that the student is a woman?
Answer:
The probability would be 9/11
Step-by-step explanation:
Because there are total 110 students and there are 90 women that means if a student is selected randomly, then the probability would be 90/110 and when I simplify that I get 9/11
Please someone help me with my math work?
Answer:
20 plus 20 is equla to 5000
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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Solve for brainliest
Answer:
Step-by-step explanation:
In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:
E = 500h + 4000
Identify the coordinates for point C Type your answer in the form (#.#), without spaces.
Answer:
(0,2) :)
Step-by-step explanation:
Given the coordinates, determine whether PQR & XYZ are congruentP(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)PQ=XY=QR=YZ=PR=XZ= Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
At first, we will use the rule of distance to find the sides of the 2 triangles
\(d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}\)If PQ = XY,
QR = YZ
PR = XZ
Then the 2 triangles are congruent using SSS postulate of congruency
If any two sides not equal, then
Triangles are not congruent
Answer: Let's see. The triangle QRZ (I will call it triangle qrz from now on) must be congruent to the triangle YXZ (that I will call triangle yxz from now). Why is this? Because if you compare side qr to yx, you will see that qr side is longer than yx side. Now do the same kind of comparison with every corresponding side. For example, zy side is longer than pz side. So we can say the triangle qrz is congruent to the triangle yxz.
The anticoagulant warfarin is often used as a pesticide against house mice, Mus musculus. Some populations of the house mouse have acquired a mutation in the vkorc1 gene from hybridizing with the Algerian mouse, M. spretus (Song et al. 2011). In the Algerian mice, this gene confers resistance to warfarin. In a hypothetical follow-up study, researchers collected a sample of house mice to determine whether presence of the vkorc1 mutation is associated with warfarin resistance in house mice as well. They fed warfarin to all the mice in a sample and compared survival between the individuals possessing the mutation.
a. Identifiy the two variables measured in the study and indicate which is the explanatory and which is the response variable.
i. Explanatory:
ii. Response:
b.Identify the scales on which each of the two variables is quantified (nominal, ordinal, inteval, ratio).
c. What do you think was the intended target population for the study? Why?
d. Do you consider the follow up study to be a manipulative experiment or an observational experiment? Explain.
e. Do you think the researchers used a random sample? Explain.
Solution :
Response variable is the variable whose value is to be predicted or the value is influenced. It is also known as the dependent variable. While the variable which affects the values and is used for the prediction is known as the explanatory variable or the independent variable.
i. The explanatory variable in the study is the Vkorc I mutation.
ii. The response variable in the study is the Warfarin resistance.
b). The explanatory variable which comes under the nominal scale in this study is the Vkorc I mutation.
While the response variable or the independent variable that comes under the interval scale in the study is the Warfarin resistance.
c). The group of the individuals in this study is called as population. The target population in the study is the house mouse which is required as the mutation in Vkorc 1 gene from the hybridizing with Algerian mouse.
d). The study is a manipulative experiment as the changes that have already introduced in house mice and the treatments are under control.
e). No in this study the researcher did not use any random sample.
PLEASE HELP ME !!!!!!!!!!!
Represent the following series in summation notation with a lower index of 0.
1+4+7+10+13+16+19+221+4+7+10+13+16+19+22
Answer:
382
Step-by-step explanation:
1+4
7+10
13+16
19+221
4+7
10+13
16+19
22
and I add all answers
Convert .805 liters to millimeter s
The question that is asked...
Answer:
ps is perpendicular to line ur.
angle pvr is 90°
12x+3x=90°
15x=90°
x=90°/15
x=6
by putting value of x
12x=72°
As a part of his science experiment, Ethan recorded the number of days it rained in April. Over the 30 days, it rained 15 days. Ethan wants to know what percent of the days in Apri it rained
Answer:
Explanation:
Ethan recorded that it rained 15 days over the 30 days in April.
To know what percentage it rained, we need to divide the number of days it rained by the number of days in the month, and then multiply the result by 100.
\(\frac{15}{30}\times100\)Simplifying this, we have:
\(undefined\)