Answer:
a) The maximum height reached by the ball can be found by taking the derivative of the given equation, setting it equal to 0, and solving for t. We have:
h'(t) = -10t + 20 = 0
Solving for t, we get t = 2. Substituting this value into the original equation, we get:
h(2) = -5(2)² + 20(2) + 0.4 = -10 + 40 + 0.4 = 30.4
Thus, the maximum height reached by the ball is 30.4 meters.
b) The time it takes to reach the maximum height can be found by setting the derivative of the given equation equal to 0 and solving for t, as we did in part (a). In this case, we get t = 2, so it takes 2 seconds for the ball to reach its maximum height.
c) The time at which the ball hits the ground can be found by setting the original equation equal to 0 and solving for t. We have:
h(t) = -5t² + 20t + 0.4 = 0
Solving for t, we get:
-5t² + 20t + 0.4 = 0
This quadratic equation has two solutions, which can be found using the quadratic formula:
t = (-20 ± √(20² - 4(-5)(0.4))) / (2(-5))
= (-20 ± √(400 + 0.8)) / -10
= (20 ± √400.8) / -10
= (-20 ± 20.28) / -10
= -10 ± 10.14
Thus, the ball hits the ground at t = -10 + 10.14 = 0.14 seconds, or at t = -10 - 10.14 = -20.14 seconds. Since the time must be positive, we can conclude that the ball hits the ground at 0.14 seconds.
Answer to this required:
Answer:
B
Step-by-step explanation:
the hypotenuse is z
For the Pythagorean theorem:
x² + y² = z²
Determine whether the integers in each of these sets are pairwise relatively prime. a) 11, 15, 19 b) 14, 15, 21 c) 12, 17, 31, 37 d) 7, 8, 9, 11
Note that Option A is pairwise and is relatively prime.
Option B is not relatively primeOption C is also a relatively primeOption D is also relatively prime.What does it mean for a list of integers to be pairwise relatively prime?If every pair of elements in a list of integers is relatively prime, the list is pairwise relatively prime. For example, the numbers 121, 122, and 123 are relatively prime pairwise (even though they are each composite).
You can tell if a set of numbers are relatively prime if they do not share a common factor other than ±
Looking at set a:
11, 15, 19
Writing their prime factorization
11 = 11
15 = 3 x 5
19 = 19, hence since any pair of these numbers does not have any common factor, hence they are relatively prime.
Looking at set b:
14, 15, 21
Writing their prime factorization, we have:
14 = 7 x 2
15 = 3 x5
21 = 3 x 7
15, and 21 share a common factor of 3 while
14 and 21 share a common factor of 7, therefore, they are NOT relatively prime.
Looking at set c)
12, 17, 31, 37
Writing their prime factorization,
12 = 3 x 2²
17 = 17
31 = 31
37 = 37
In this case, no pair of these numbers have any common factor. Hence they are relatively prime.
Looking at set d)
7,8,9, 11, spelling out their prime factorization
7=7
8=2³
9=3²
11=11
Thus, any pair of these numbers do not have a common factor, hence they are relatively prime.
Learn more about relatively prime:
https://brainly.com/question/4658673
#SPJ1
A stationary shop orders a batch of pens from a factory.
The factory could make the batch of pens in 20 days using 12 machines.
Due to a fault, only 3 machines were used for the first 8 days.
All 12 machines were used from day 9 onwards.
Work out the total number of days taken to make the batch of pens
Answer:
22
Step-by-step explanation:
(8 + 20) - ((8 * 9) ÷ 12)
Using PEMDAS, let us find the product to get;
(8 + 20) - (72/12)
Next operation is to divide what is in the bracket to get:
(8 + 20) - 6
Next operation is addition of the bracket content to get; 28 - 6
Next operation is to carry out subtraction to get: 22
Thus, the total number of days taken to make the batch of pens is 22.
which polynomial is the product of (4x-3)(x^2+2x-6)
Answer:
4x³ + 5x² - 30x + 18
Step-by-step explanation:
(4x - 3)(x² + 2x - 6)
each term in the second factor is multiplied by each term in the first factor.
4x(x² + 2x - 6) - 3(x² + 2x - 6) ← distribute parenthesis
= 4x³ + 8x² - 24x - 3x² - 6x + 18 ← collect like terms
= 4x³ + 5x² - 30x + 18
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
x = 5
Step-by-step explanation:
To solve this problem, we need to utilize the triangle sum theorem.
⭐What is the triangle sum theorem?
the sum of all angles in a triangle equals to 180°1. Set up the equation as per the triangle sum theorem
(5x+6) + 43 + 106 = 180
2. Add the constants
5x + 155 = 180
3. Subtract 155 from the LHS and RHS
5x = 25
4, Divide the LHS and RHS by 5 to isolate x
∴ x = 5
⭐if this response helped you, please mark it the "brainliest"!⭐
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. Compare with the length of the curve.
x = sin2t, y = cos2t, 0≤t≤3π
The distance traveled by a particle with position (x, y) as t varies in the time interval 0 ≤ t ≤ 3π be, 6π units.
Given, a particle with position (x, y) move across a distance as t varies in the given time interval 0 ≤ t ≤ 3π
where, x = sin2t, y = cos2t
On using the length of the curve concept, we get
d = ∫√((dx/dt)² + (dy/dt)²) dt
as, x = sin2t and y = cos2t
dx/dt = 2cos2t
dy/dt = -2sin2t
On substituting the values, we get
d = ∫√(4cos²2t + 4sin²2t) dt
d = ∫2 dt
d = 2∫dt
d = 2×(3π - 0)
d = 6π
So, the distance traveled by the particle be, 6π
Hence, the distance traveled by the particle be, 6π
Learn more about Integration here https://brainly.com/question/24158242
#SPJ4
Multiply.
(3x-w) (3x-7w)
Simplify your answer.
Answer:
7w^2+3x^2-24wx
Step-by-step explanation:
we distribute
(3x-w)(3x-7w)
3x(3x)+3x(-7w)-w(3x)-w(-7w)
3x^2-21wx-3wx+7w^2
combine like terms
3x^2-24wx+7w^2
order correctly
7w^2+3x^2-24wx
hopes this helps
Answer:
[tex]9x^2-24xw+7w^2[/tex]
Step-by-step explanation:
Given expression:
[tex](3x-w)(3x-7w)[/tex]
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{FOIL Method}\\\\$(a+b)(c+d)=ac+ad+bc+bd$\\ \end{minipage}}[/tex]
Apply the FOIL method to expand the brackets:
[tex]\implies 3x \cdot 3x +3x \cdot(-7w)+(-w) \cdot 3x+(-w) \cdot (-7w)[/tex]
[tex]\implies 9x^2-21xw-3xw+7w^2[/tex]
Combine like terms:
[tex]\implies 9x^2-24xw+7w^2[/tex]
Given: ABCD is a parallelogram with AE = 9x−5, AC = 14x + 34. Find AC
The value of AC according to given equation of Parallelogram is 188 units.
What is parallelogram?
In elementary geometry, a parallelogram may be a quadrilateral with 2 pairs of parallel sides. the alternative or facing sides of a quadrangle square {measure} of equal length
Main body:
according to question:
AE = 9X-5
AC = 14X+34
as E is midpoint of AC so , we can say
2AE = AC
2(9x-5)= 14x+34
18x-10= 14x+34
4x = 44
x = 11
Now we need to find AC = 14x+34
= 14*11+34
= 188 units
Hence the value of AC according to given equation of Parallelogram is 188 units.
to know more about simplification, visit:
https://brainly.com/question/723406
#SPJ1
Which model shows the problem 1 divided by 1/6 ?
The model that shows the problem 1 divided by 1/6 is option 1.
What is meant by circle?Every point in a plane that is at a specific distance from the center, or the circle's center, forms a shape. To put it another way, it is the curve that a moving point in a plane draws to keep a constant distance from another point. The radius of a circle is the separation of any point from the center. A positive integer is typically necessary for the radius. Except as specifically stated, this article discusses circles in the Euclidean plane and other aspects of Euclidean geometry.
In particular, a circle is a straight, closed curve that separates the plane into its inner and exterior.
Therefore, The model that shows the problem 1 divided by 1/6 is option 1.
To know more about circle, visit:
https://brainly.com/question/12711347
#SPJ1
a professor at a certain school polled 12 colleagues about the number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period. the summary data are as follows: n
The number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period is [tex]-8.6+3.15[/tex].
What is formula for slope and intercept is?
[tex]$$\begin{aligned}& b=\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& a=\bar{y}-b \bar{x} \\& \hat{y}=a+b x\end{aligned}$$[/tex]
The slope is
[tex]$$\begin{aligned}b & =\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& =\frac{12 \times 318-(12 \times 4)(12 \times 4)}{12 \times 232-(12 \times 4)^2} \\& =3.15\end{aligned}$$[/tex]
The intercept is
[tex]$$\begin{aligned}a & =\bar{y}-b \bar{x} \\& =4-3.13 \times 4 \\& =-8.6\end{aligned}$$[/tex]
The regression equation is
[tex]$$\begin{aligned}\hat{y} & =a+b x \\& =-8.6+3.15 x\end{aligned}$$[/tex]
To learn more about regression equation visit:https://brainly.com/question/14184702
#SPJ1
For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of ten types of automobile, the linear correlation coefficient is found and the P-value is 0.013. Write a statement that interprets the P-value and includes a conclusion about linear correlation
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 1.3% which is low so there is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
Given that,
The complete statement is,
The p-value is given as:
[tex]p=0.013[/tex]
Express as percentage
[tex]p=1.3[/tex] %
This means that the probability that the linear correlation coefficient is at least as extreme is 1.3%.
From the z-table, we have:
[tex]z = 1.81[/tex], when the p-value is 0.013
This value of z-score is low, compared to the percentage of the scores have a z-score of between -1 and 1.
So, the p-value implies that it is likely that there is a linear correlation between the variables.
Hence, the texts that complete the three blanks are: "1.3%", "low" and "is"
Therefore,
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 1.3% which is low so there is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
To learn more about P-values visit :
brainly.com/question/16816238
#SPJ4
Write the complex equation 8 + 3; in trigonometric form.
The complex equation 8 + 3; in trigonometric form is z = 8.544[cos(20.6) + isin(20.6)}.
What is trigonometric form ?
Here, we'll utilize that fundamental transformation to recast z = a + bi in a different (sometimes more practical) form that is based on the polar transformation. The trigonometric form of a complex number is the name of this new representation.
Given
8 + 3i
Required
Rewrite in trigonometric form.
The trigonometric form of a complex equation is
z = r[cosθ + isinθ]
Let a = 3 and b = 8
Where
r is calculated by
r² = b² + a²
And
θ is calculated by
θ = arctan(a/b)
Substituting 3 for a and 8 for b
r² = a² + b² becomes
r² = 3² + 8²
r² = 9 + 64
r² = 73
√r² = √73
r = √73
r = 8.544
Calculating θ
θ = arctan(a/b) becomes
θ = arctan(3/8)
θ = arctan(0.375)
θ = 20.556°
θ = 20.6 --- Approximated
Hence, z = r[cosθ + isinθ] becomes
z = 8.544[cos(20.6) + isin(20.6)}
To learn more about trigonometric form visit:https://brainly.com/question/14017520
#SPJ1
What is the fourth root of 625
The required answer is the fourth root of 625 is 5. In summary, the fourth root of 625 is 5.
To find the fourth root of 625, we need to determine the number that, when raised to the power of 4, equals 625. Here's the step-by-step process:
Step 1: Start with the number 625.
Step 2: Take the fourth root of 625.
Since we're looking for the fourth root, we need to find a number that, when raised to the power of 4, equals 625.
Step 3: Determine the number that, when raised to the power of 4, equals 625.
To find this number, we can use the concept of exponentiation. Let's denote the unknown number as "x". Mathematically, we have [tex]x^4 = 625[/tex]..
Step 4: Solve the equation [tex]x^4 = 625[/tex].
To solve this equation, we need to find the value of x. Taking the fourth root of both sides of the equation, we have [tex]\sqrt[4]{(x^4)} =\sqrt[4] {625}.[/tex]
The fourth root of 625 is (625)^(1/4).
Step 5: Simplify the expression.
We can simplify [tex]\sqrt[4]{ 625}[/tex] as follows:
[tex]\sqrt[4]{ 625} = \sqrt[4]{ 5^4}= 5^{4/4} = 5^1 = 5.[/tex]
Therefore, the fourth root of 625 is 5. In summary, the fourth root of 625 is 5.
Learn more about roots and exponentiation at:
https://brainly.com/question/30240101
#SPJ6
State the Domain, Range, in interval notation.
Domain:
Range:
The range and domain of the graph shown is
domain -4 ≤ x < ∞
range ∞ ≤ x < 3
How to find the domain and the rangeAll of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.
The domain of a graph is every value in the graph, from left to right.
Examining the curve the extreme left has x coordinate value of -4 and the right end have an arrow which means the value continues. this is written as
-4 ≤ x < ∞
The graph's entire range, from lower to higher numbers, in the vertical line represents the range.
Examining the curve the lowest point the curve reached in y-coordinate have an arrow which means the value continues and the top end have the value of 3. this is written as
∞ ≤ x < 3
Learn more about range and domain at:
brainly.com/question/1942755
#SPJ1
Help me please ASAP (ﾒ﹏ﾒ)
Answer:
A ' ( -21, 14 )
B ' ( 28, 14 )
C ' ( -7, -7 )
Step-by-step explanation:
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as (x,y)—-> (7x,7y)
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
Hopes this helps!!
Max found a car he wants to buy that costs $16,000. He can
afford to pay $250 a month for the car. His bank offers him a car
loan of 7.3%. How will the length of his loan be for this payment
amount?
Answer: To calculate the length of a loan, you need to know the total cost of the loan, the monthly payment amount, and the interest rate. In this case, the total cost of the car is $16,000, the monthly payment amount is $250, and the interest rate is 7.3%.
First, you need to calculate the total interest that will be paid on the loan. This can be done by multiplying the total cost of the loan by the interest rate, and then dividing by 100 to convert the result to a percentage. In this case, the total interest paid would be $16,000 * 7.3 / 100 = $1,168.
Next, you need to subtract the total interest from the total cost of the loan to find the total amount of the loan that will be used to pay for the car. In this case, the total amount of the loan used to pay for the car would be $16,000 - $1,168 = $14,832.
Finally, you can use this total amount and the monthly payment amount to calculate the length of the loan by dividing the total amount by the monthly payment amount. In this case, the length of the loan would be $14,832 / $250 = 59.32 months, or just over four years. The answer is 59.32 months.
Step-by-step explanation:
How many 1/2 inch cubes fit along it’s 2 1/2 length?
Five 1/2 inch cubes fit along it’s 2 1/2 length.
What is meant by length?An object's longest or largest dimension is a measured distance. Dimensions: 10 ft. see Weights and Measures, Metric System Table
An object's length, which is a measurement of its longest side, is its most stretched dimension. Your dog, for instance, would measure its length from the point of its nose to the end of its tail. The space between its top and bottom feet is greater than that of the creature's head.
In addition to utilizing handspan, foot span, and other methods, one can measure length in many units, such as centimeters, inches, meters, and so on.
Let x be the number of 1/2 cubes to fit 2 1/2 length
(1/2)x= 2 1/2
(1/2)x=5/2
x=5
Therefore, five 1/2 inch cubes fit along it’s 2 1/2 length.
To know more about length, visit:
https://brainly.com/question/12367641
#SPJ1
If f(x) = x³ + 14x² + 61x + 84, which of the following is not a factor of f(x)?
Mary weighed 7 1/2pounds when she was born. What number makes the statement true? 7 1/2 = ?/2
If 2w - 1 = 13, what is the value of 2w?
6
14
7
12
Answer: 7
Step-by-step explanation: 13+1=14
2*?=14 2*7=14
What is the variable part of the term -6bx?
The variable part is x and b.
What is variable?A mathematical object is represented by a symbol known as a variable. A variable can be a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Algebraic computations using variables solve a variety of problems in a single operation. By substituting the numerical values of the equation's coefficients for the variables that represent them in the quadratic formula, the quadratic formula, for instance, can be used to solve any quadratic equation.
Given a equation -6bx
here -6 is constant because it cannot be changed;
a number that has a proper worth in a given circumstance or generally or that is normal for some substance or instrument.
and x, b are variables,
A variable is an amount that might change inside the setting of a numerical issue or examination.
Hence for the equation x and b are variables.
Learn more about variable;
https://brainly.com/question/29059121
#SPJ1
is the following a qualitative or quantitative variable?: the type of flowers you plant in your garden
Qualitative variables include all observable qualities or characteristics of a group or population that can not be measured numerically.
What is Qualitative?
The goal of qualitative research is to collect and examine non-numerical data in order to comprehend people's attitudes, beliefs, and motivations in relation to their social reality.
Quantitative Variable
Quantitative variables, as the name implies, are those that can be expressed by a numerical value.
1. Quantitative (Discrete)
2. Quantitative (Continuous)
3. Quantitative (Discrete)
4. Qualitative (nominal)
5. Qualitative (nominal)
6. Qualitative (nominal)
7. Qualitative (nominal)
8. 9. Quantitative (Continuous)
10. Qualitative (nominal)
11. Quantitative (Continuous)
12. Qualitative (ordinal)
13. Qualitative (nominal)
14. Quantitative (Discrete)
15. Qualitative (nominal)
Complete question: Which is the following a qualitative or quantitative variable?
1)ordinal
2)Continuous
3)nominal
4) All of these
To learn more about Qualitative visit
https://brainly.com/question/14265131
#SPJ1
A volunteer for a political campaign makes phone calls to raise funds for the candidate. The number of calls that she has left to make can be estimated with the equation C = 80-7h, where C is the number of calls left to make that day and h is the number of hours she has worked that day. How many calls does she have to make per day?
The number of calls she makes per day is 12
What is a function?A function can be defined as an expression, law or rule that describes the relationship between two variables.
These expressions are termed;
The dependent variableThe independent variableFrom the information given, we have that the function is;
C = 80-7h
Where;
C is the number of calls to make per dayh is the number of work hoursI day = 24 hours
Now, substitute the value into the formula
C = 180 - 7(24)
expand the bracket
C = 180 - 168
Subtract the values
C = 12
Hence, the value is 12
Learn more about functions here:
https://brainly.com/question/25638609
#SPJ1
Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer a. At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. b. At 8 a.m. the water level decreased at a rate of 0.5 meters. c. At 8 a.m. the water level was 0.5 meters below sea level. d. Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
How to interpret the function notation D'(n)From the question, we have the following parameters that can be used in our computation:
The function D gives the depth of the water, in meters, t hours after midnight on a certain day
This means that
D = depth in meters
t = time in hours
From the question, we have
Notation = D(n)
Also, from the question, we have
D'(8) = -0.5
This is the inverse of the function D(t)
So, the values of the parameters are
D(t) = -0.5
t = 8
This means that the number of hours is 8 and the depth is -0.5 meters
Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
Read more about inverse functions at
brainly.com/question/3831584
#SPJ1
James bought a 3 pound sack of oranges at the grocery store. There are about 0.454 kilograms in 1 pound. Which measurement is closest to the weight of the sack of oranges in kilograms?
Answer:
1.362 kilograms
Step-by-step explanation:
3 x .454 = 1.362 Kilograms
Factor completely and find all the zero(s)
Answer:
Factors are (x-1) (4x²-1)
Zero(s) are x = 1, x = 1/2, x = -1/2
Step-by-step explanation:
Given function is
4x³ - 4x² - x + 1
= 4x³ - x - 4x² + 1
= x(4x² - 1) - 1(4x² - 1)
= (x - 1) (4x² - 1) (Factors of the equation)
To find the zero(s),
Either, Or,
x - 1 = 0 4x² - 1 = 0
or, x = 1 or, x² = 1/4
or, x = √(1/4)
or, x = +- 1/2
q.16 find the number of ways to put eight different books in five boxes, of no box is allowed to be empty. (5 points)
The number of ways to put eight different books in five boxes, of no box is allowed to be empty will be 403200.
As, it is given that,
No box is allowed to be empty.
An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. For instance, the set A=1,2 has a permutation of 2, which is 1,2, or 2,1. There is no alternative way to organize the components of set A,
So, we can put one book in each box in [tex]8 P_5[/tex] mays.
Now remaining 3 books we can put in by [tex]${ }_5 P_3$[/tex] ways
Total number of ways will be [tex]$=8 P_5 \cdot 5 P_3$[/tex]
Now calculating the value,
[tex]=\frac{8 !}{(8-5) !} * \frac{5 !}{(5-3) !}\\\\=\frac{8 !}{3 !} \times \frac{5 !}{2 !}\\\\=403200[/tex]
For more questions on Permutations
https://brainly.com/question/4658834
#SPJ4
Researchers have collected data on the hours of studying in a week and the exam grade of a student. You are given the data below. Hours of Studying 1 3 3 3 5 Exam Grade 55 75 80 85 100 (1) Develop the least squares regression equation. (6 points) (2) Estimate the exam grade of a student with 2 hours of studying. (3 points) (3) Compute the coefficient of determination. (6 points) (4) Perform a t test to test whether the exam grade is significantly related to the number of hours of studying with a = 0.01. What is your conclusion? (5 points) (5) Perform an Ftest to test whether the exam grade is significantly related to the
since to> t∝/ ₂₁n-2 we reject H₀ and conclude that the exam grade is significant related to the no of hours of studying
X = 1 3 3 3 5
Y= 55 75 80 85 100
What is hypothesis ?
A hypothesis is an unproven claim that is backed up by all the information that is now available and a lot of weaker results in mathematics.
n=5
∑x=15
∑x²=53
∑y=395
∑x²=32275
∑xy=1275
Sxx= ∑x²-1/n (∑x)² =8
Syy= ∑y²-1/n (∑y)² =1070
Sxy= ∑xy²-1/n (∑x)(∑y) =90
= Sxy/sxx =90/8 =11.25
x= 395/5 =11.25 (15/5)
=45.25
y=45.25 +11.25 x
if x=2, y=45.25 +11.25 (2) = 67.75
3. coefficient of determination
R² = SSR/SST = β₁ SXY/SYY
R₂ = 11.25 X 90/1070
=0.946
4. M = SYY -β₁ SXY/n-2
=1070-11.25(90)
=19.167
Hypothesis = H₀ :β₁ =0
H₀ :β₁ [tex]\neq[/tex]0
Test statistic = t = β₁/
t₀ =11.25/
t₀=7.27
critical value= t∝/₂₁n-2
= t0.005
=5.841
since to> t∝/ ₂₁n-2 we reject H₀ ( Hypothesis) and conclude that the exam grade is significant related to the no of hours of studying
To learn more about Hypothesis visit:
brainly.com/question/29519577
#SPJ4
can someone help me with this pre calc question? and show work so I know how to do it please :)
[tex]$$(x-h)^2+(y-k)^2=r^2$$[/tex]
This is the general standard equation for the circle centered at (h, k)
with radius r.
Circles can also be given in expanded form, which is simply the result of expanding the binomial squares in the standard form and combining like terms.
For example, the equation of the circle centered at (1,2) with radius 3 is [tex]$(x-1)^2+(y-2)^2=3^2$[/tex]. This is its expanded equation:
[tex]$$(x-1)^2+(y-2)^2=3^2$$[/tex]
[tex]\begin{array}{r}\left(x^2-2 x+1\right)+\left(y^2-4 y+4\right)=9 \\x^2+y^2-2 x-4 y-4=0\end{array}[/tex]
We know that the general equation for a circle is[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex], where ( h, k ) is the center and r is the radius.
To learn more about equation for the circle visit:
https://brainly.com/question/23988015
#SPJ1
What percent of 120 is to 48?
a. 40%
b. 57.6%
c. 0.4%
d. 2.5%
Answer: a. 40%
Step-by-step explanation: 48% of 120 is 40
Answer: a. 40%
Step-by-step explanation:
48/120 = x/100
butterfly method
120x/120 = 4800/120
simplify.
x = 40%
