The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
F(x) = 3 [tex]\sqrt{x-2}[/tex]
Domain of this function is all the values of x for which the function is defined.
The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.
x - 2 > 0 ⇒ x > 2
So the function will be defined for all x > 2.
Hence the domain of the function is the set of all x such that x > 2.
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Please help!
11. A radio station plays 3 commercials for every
8 songs it plays. If they played 72 songs
during the moming segment, how many
commercials did they play?
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
888
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study
Define Population.In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.
Here,
A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.
a. Parameter - The average health care cost each year for all of the insurance company's clients
b. Population - All of the insurance company's clients
c. Sample - The 400 clients that the insurance company included in this study
d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study
e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study
f. Variable - The cost each year for health care
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Prove that limx→2 x/1+x= 1/2 using the definition of limit
An above-ground swimming pool is 5 feet long, 4 feet wide, and 3 feet deep and is shaped like a rectangular prism. A rectangular prism has a length of 5 feet, height of 3 feet, and width of feet. If you use a net to find the amount of material used to make the pool, what faces are included in the calculation? 5-foot by 4-foot face(s) 5-foot by 3-foot face(s) 4-foot by 3-foot face(s)
Answer:
✔ 1
5-foot by 4-foot face(s)
✔ 2
5-foot by 3-foot face(s)
✔ 2
4-foot by 3-foot face(s)
Step-by-step explanation:
EDGE 2021
The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
what faces are included in the calculation?For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).
So if we have:
length = 5ftwidth = 4fthegith = 3ftThen we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
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I need help with #3 and #1
Answer:
1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s
3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
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WORK OUT ANGLE BXC.
GIVE A REASON FOR EACH ANGLE YOUR WORK OUT
Answer:
a) Angle XBC = 55° because it is a corresponding angle to 55°
b) angle BXC = 70°
Step-by-step explanation:
ΔXBC is an isosceles triangle because XB = XC
∠XCB = ∠XBC because ΔXBC is an isosceles triangle
∠BXC = 180° - 55° - 55° = 70° because the sum of all the interior angles of a triangle - 180°
Answer:
b) BXC=70
Step-by-step explanation:
a)
Angle XBC = 55° as XY and BD are parallel lines, the interior angles on the same side of a transversal are supplementary hence the same.
b)
Triangle BXC is isosceles when XBC and XCB are both 55°
XBC+XCB+BXC= 180° (sum of angles of triangle)
55°+55°+BXC=180°
110°+BXC= 180°
BXC= 180°-110°
BXC= 70°
What is the coefficient in the expression 6 – 2 + 4n
Answer:
4
Step-by-step explanation:
The coefficient is 4 because it is the amount placed before a variable. The variable is the x, therefore, the coefficient is the 4, the amount placed before the x.
Hope this helps! :)
A pair of socks is sold for $2.50. The retailer added $.50 to the original cost. What was the cost of the socks to the retailer? ($)
What is the solution for the system of linear equations shown in the graph?
Graph and answers in picture below
Answer:
(d) (-1/4, 3/4)
Step-by-step explanation:
You want the solution to the graphed system of equations.
SolutionThe solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.
The only suitable answer choice is ...
(x, y) = (-1/4, 3/4)
Help asap 6th grade math
Answer:
the answer is 7
Step-by-step explanation:
because 7×31=217 so that means she wrote 7 pages each day for 31 days
The temperature during the night was -4. In the morning the temperature increased by 3. What is the temperature in the morning
Answer:
-1
Step-by-step explanation:
Night: -4
Morning: -4 + 3 = -1
PLZZZ HELPPL ASAP
Cartilage is softer than bone, and most of the bones in your skeleton begin as cartilage. Where can you still find cartilage in an adult?
A joint in knee
B. top of skull
C.femur
D. the center of bone
Answer:
A. Joint in knee
Step-by-step explanation:
There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.
PLEASE HELPPPP
Find the value of y
X+ y= 20
8x + 6y=133
Please help, give Brainliest
Answer:
0.44, or 8/18
Step-by-step explanation:
The probability of it being blue is 8/18 or 0.444... (0.44)
The diameter of a circle is 38 centimeters. What is the circle's area?
Use 3.14 for . SHOW WORK IF YOU ATTACH A FILE YOU ARE GOING TO GET REPORTED
Answer:
area of a circle ⭕= πr²
radius = diameter ÷2;
radius = 38÷2
radius = 19
3.14 * 19²
= 1133.54 cm²
Anyone who know what the answer please please help me faster??!!?!?!!!!
Answer:
60%
Step-by-step explanation:
Answer:
The answer is 60%
Step-by-step explanation:
The question tells us to find the probability of male sophomore students. From the question we know that the total number of sophomore students are 10 (6 male + 4 female). The probability is # of male student over the total # of sophomore students which is 6/10 = 0.6 now we multiply is it by 100% which gives us 60% (0.6 x 100% = 60%) as our answer.
The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period.
Match each verbal description of the high and low cost of a barrel of beans with all equivalent expressions.
b + 0.17bb-0.17bb-1.17 -0.17b
0.830
1.17b
b is increased by 17%
bis decreased by 17%
Answer:
b is increased by 17% : A and E
b is decreased by 17%: H and J
Step-by-step explanation: Took the test hope this helps
Determine whether the function f(x) = 340(0.765)x
represents exponential growth, exponential
decay, or neither. Justify your answer.
Answer:
Exponential decay since the base (0.765) of the exponential is greater than 0 but less than 1.
160.7 is what percent of 128?
Answer:
125.54%
Step-by-step explanation:
160.7/128 = 1.2554
1.2554 *100 = 125.54%
if you had had a dog and a cat how many horses would u have
Answer: a lot
Step-by-step explanation:
Answer:
ummmm none? maybe
Step-by-step explanation:
Convert 150 square centimeters into square feet.
Answer:
0.161459
Step-by-step explanation:
for an approximate result, divide the area value by 929
Answer:
0.16
Step-by-step explanation:
[tex]150~\div~929[/tex] ≈ [tex]0.16[/tex]
What is the answer please help me no
Links
In how many ways can 8 books be choosen from a group of nine?
Answer:
9 ways
Step-by-step explanation:
You use combination to solve anything that deals with selection process.
So pressing 9C8 function on your calculator would give your answer.
If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC
The measure of angle ∠JBC is 56 degrees.
How to find the measure of an angleFrom the question
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
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5 cm
7 cm
9 cm
12 cm
Work out the perimeter of this shape.
Answer:
33 cm
Step-by-step explanation:
Perimeter formula = l + l + w + w, or l x w
Just add all the sides whch equals 33
Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm
Step-by-step explanation:
To find the perimeter of a shape, all you need to do is add up the measure of all the sides.
Shana wants to buy a music player. She has $100 cash.
1. Can she afford a $79 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer:
Answer:
Yes
Step-by-step explanation:
A $79 unit plus HST will be 89.27
Help this is about shapes
Answer:
exactly one pair of parallel sides =E
two pairs of sices of equal length = B,D
no right angle = A,C
What is 37.52 rounded to the nearest whole
Answer:
38 because the 5 tells the 7 to round up to 8
hope this helps
have a good day :)
Step-by-step explanation:
2 IMAGES BELOW PLEASE HELP!
Answer:
B
Step-by-step explanation:
Minimum: 4
Lower Quartile (Q1): 7
Median: 9
Upper Quartile (Q2): 13
Maximum: 14
Step-by-step explanation:
B.
you can see by the box plots and notice that A doesn't have the same