Determine the domain of the following graph
Answer:
Domain: [-8. 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Interval NotationStep-by-step explanation:
From the graph, we can see that our x-values span from -8 to 4. Since both are closed dot, they are inclusive in the domain:
[-8. 4] or -8 ≤ x ≤ 4
Solving Equations with Rational Exponents
Solve and check. Show all work,
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 242424 meters per second. After 444 seconds of driving, she was 707070 meters away from the safe zone.
Let yyy represent the distance (in meters) from the safe zone after xxx seconds.
Complete the equation for the relationship between the distance and number of seconds.
The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.
Find the equation for the relationship between the distance and number of seconds:A linear function containing one dependent and one independent variable.
It can be represented using the equation,
y = mx + c
where m is the slope
It is given in the question that,
Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safe zone.
Let, D(t) be the distance to the safe zone (measured in meters) and t be the time (measured in seconds)
After 4 seconds of driving, she was 70 meters away from the safe zone.
⇒ This means that at t = 4 seconds, D(4) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative
⇒ m = - 24
y = mx + c
⇒ D(t) = (-24)t + c
Put t = 4,
D(4) = (-24)4 + c
70 = -96 + c ⇒ c = 166
⇒ D(t) = 166 - 24t
Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.
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(-4)(-4)(-4)(-4)(-4)(-4)
The answer is to (-4)(-4)(-4)(-4)(-4)(-4) 4096
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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what percentage of 1litre is 250ml
Answer: 25%
Step-by-step explanation: there are 1000 millilters in a liter. 25% of 1000 is 250.
This is true or am I wrong and why?
Answer:
Yes it is true correct me if I am wrong
Step-by-step explanation:
Answer:
B) false
Step-by-step explanation:
if sin = 3/5, than cos =
Answer:
cos θ = 4/5
Explanation given below in the image,
I hope my answer helps you.
A physics textbook is placed on a spring scale in an elevator. Of the following, the scale shows the lowest reading when the elevator: (1) moves downward with increasing speed (2) moves upward with constant speed (3) remains stationary (4) moves upward with increasing speed (5) moves downward at constant speed
The scale shows the lowest reading when the elevator is moving upward with increasing speed (option 1).
What is the definition of speed?
Speed is a scalar physical quantity that measures how fast an object is moving. It is the distance traveled by an object in a certain amount of time, and is expressed in units of distance per unit time, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).
Mathematically, speed can be represented as:
Speed = Distance/Time
Now,
The scale shows the lowest reading when the elevator is moving upward with increasing speed.
This is because the weight of the physics textbook is the force with which it is being pulled downwards by the Earth's gravity. When the elevator is moving upward with increasing speed, the force that the scale measures is less than the weight of the textbook because the elevator is also accelerating upwards, thereby reducing the normal force acting on the book.
This is described by the equation Fnet = ma, where Fnet is the net force acting on the book, m is its mass, and a is the acceleration of the elevator. When the elevator moves upward with increasing speed, the acceleration a is positive but less than g, the acceleration due to gravity. Therefore, the net force acting on the book is less than its weight, resulting in a lower reading on the scale.
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What is the value of x?
cos 63° = sin x
Enter your answer in the box
X=
Answer:
x = 27°
Step-by-step explanation:
using the co-function identity
cos x = sin(90 - x) , then
cos63° = sin(90 - 63)° = sin27° with x = 27°
problem 1. create two vectors named v and w with the following contents: v : 21,10,32,2,-3,4,5,6,7,4,-22 w : -18,72,11,-9,10,2,34,-5,18,9,2 a) print the length of the vectors b) print all elements of the vectors c) print elements at indices 3 through 7. d) print the sum of the elements in each vector. e) find the mean of each vector. (use r's mean() function) f) sort the vectors in descending order and then print. g) add vectors v and w. h) multiply vectors v and w. i) in vector v select all elements that are greater than zero. j) in vector w select all elements that are less than zero. k) multiply each element of vector v by 6. and then print. l) find maximum and minimum of each vector. m) in each vector, replace all negative values with the average of all numbers in the vector.
Vector v and w have lengths of 11 and contain elements of 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2 respectively. The addition, multiplication, and sorting of both vectors were calculated, as well as the means, maximums, and minimums.
a) The lengths of the vectors v and w are both 11.
b) Vector v contains the elements 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and vector w contains the elements -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2.
c) Elements 3 through 7 of vector v are 2, -3, 4, 5, 6 and elements 3 through 7 of vector w are 10, 2, 34, -5, 18.
d) The sum of the elements in vector v is 60 and the sum of the elements in vector w is 91.
e) The mean of vector v is 5.454545454545455 and the mean of vector w is 8.272727272727273.
f) Vector v is sorted in descending order as 32, 21, 10, 7, 6, 5, 4, 4, 2, -3, -22 and vector w is sorted in descending order as 72, 34, 18, 11, 10, 9, 2, 2, -9, -5.
g) The addition of vectors v and w is 53, 82, 28, 2, 7, 13, 6, 8, -7, 4, -20.
h) The multiplication of vectors v and w is -378, 720, 352, -18.
i) Elements in vector v that are greater than zero are 21, 10, 32, 2, 4, 5, 6, 7, 4.
j) Elements in vector w that are less than zero are -18, -9, -5.
k) Vector v multiplied by 6 is 126, 60, 192, 12, -18, 24, 30, 36, 42, 24, -132.
l) The maximum of vector v is 32 and the minimum of vector v is -22. The maximum of vector w is 72 and the minimum of vector w is -9.
m) In vector v, all negative values are replaced with the average of all numbers in the vector, which is 5.454545454545455. In vector w, all negative values are replaced with the average of all numbers in the vector, which is 8.272727272727273.
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Suppose a car uses one gallon of gasoline for every 20 miles traveled.
How many miles could be traveled in the car on $30 if gasoline cost $2.50 a gallon?
Responses
A 240 miles
B 280 miles
C 220 miles
D 180 miles
The miles that can be travelled in the car on $30 gasoline is 240 miles (option A).
How many miles can the car travel?The first step is to determine the total gallons in the car. The total gallons in the car can be determined by dividing the total value of the gasoline the car by the cost per gallon. Division is the process of determining the quotient of two or more numbers.
Total gallons = total value of gasoline in the car / cost per gallon
$30 / $2.50 = 12 gallons
The next step is to determine the total miles that the car can travel using the gallons available. To determine the total miles, multiply the total gallons by the number of miles that that one gallon can cover.
Total miles = miles one gallon can cover x total gallons in the car
12 x 20 = 240 miles
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Term 1 2021 MTH 1100 XTIB
=
Write this ratio as a fraction in lowest terms
80 minutes to 30 minutes
Answer:
8/11
3/11
Step-by-step explanation:
hope this helps!
Which is bigger 0.78 or 0.708
Answer:
0.78
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
because...
0.78 = 0.780
so,
0.780 > 0.708
have a nice day! <3
Show me how to calculate the side of a square whose area is 5 and perimeter is 1.
Answer:
Step-by-step explanation:
side of square = perimeter formula is 4 x side and area formula is side x side ......
just put digits on the place of formula :)
Jesse builds a sculpture that is a pyramid on the top of a cube,with the base of the pyramid coinciding with gave of the cube. If the edge length of the cube is 6cm and the whole sculpture is 10 cm tall,what is its volume. Can someone help with this??
Answer:
60
Step-by-step explanation:
not so sure but hope it helps
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
Sean has some candy bars that he wants to give away.
Answer:
Tell Sean i said thx
Step-by-step explanation:
but what's the question
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
A population has a mean of 110.22 and a standard deviation of 5.68. For which sample size does 95% of the sample means fall within the interval between 109.08 and 111.36?
a. 100
b.80
c. 60
d. 120
Answer:
100
Please give me brainliest, I really need it.
Answer:
a.100
Step-by-step explanation:
got it right on edmentum
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
Gabrielle's age is two times Mikhail's age. The sum of their ages is 30 . What is Mikhail's age?
Step-by-step explanation:
G=2m
m+G=30
m +2m =30
3m=30
m=10
85% of the eighth graders are going on the class trip. Which decimals are equivalent to 85%?
(2 answered question)
answer choices:
8.5 0.850
0.85 85.0
8500
4tan(x)-7=0 for 0<=x<360
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
use the sketch below to decide if congruence can be proved, and if so, which method would prove the congruence.
Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.
The convergence method which proves this congruence is SSS(side-side-side) congruence.
We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF
Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,
so, AB ≅ FG
Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,
so, AC ≅ FH
To find the lengths of BC and GH , we can use distance formula.
Length of BC :
BC = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).
BC = √[(-4 + 7)² + (5 - 0)²]
= √[32 + 52]
= √[9 + 25]
= √34
Length of GH :
GH = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).
GH = √[(6 - 1)² + (5 - 2)²]
= √[52 + 32]
= √[25 + 9]
= √34
Conclusion :because BC = √34 and GH = √34,
=>BC ≅ GH
All the three sides of one triangle is congruent to the corresponding sides of other triangle.
By SSS congruence postulate,
ΔABC ≅ ΔFGH
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Determine the y-intercept for the line 2x+5y=-6
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop?
Answer:
approximately 28.26 square feet
Step-by-step explanation:
The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.
The area is:
28.27 square feet
Work/explanation:
Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).
We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.
Now, here's a diagram for you;
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)
Plug in the data:
\(\sf{A=\pi\times3^2}\)
\(\sf{A=\pi\times9}\)
\(\sf{A=28.27\:ft^2}\)
Hence, the area is 28.27 square feet.Coefficient of the variable 9x-36
Answer:
165
Step-by-step explanation:
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 16 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
The standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.
How to illustrate the information?From the information given, it was stated that the students who score in the top 16 percent are recognized publicly for their achievement by the Department of the Treasury.
Based on the information given, it should be noted that the appropriate thing to do is to find the z score for the 75th percentile.
This will be looked up in the distribution table. In this case, the value is 0.674. Therefore, standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.
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