The function's range is in the interval (1, ∞).
What is function's range ?Members of a set can congregate in mathematics.
These sets' constituents are referred to as elements. The correspondence between the two groups is known as a relation when the elements of each group are paired up together.
So, between two sets, a relation is a collection of ordered pairs of elements.
The term "function" refers to a particular type of relation where each element in the first group, referred to as the domain, corresponds to exactly one element in the second group, referred to as the range.
The elements in the domain couple with exactly one element in the range, and this is how a function is a pairing between two sets.
According to our question-
[7, ] is the interval notation.
The function's range falls between the numbers (1, ).
provided function
Determine the function's domain:
You do not want to use a counterargument to the square root in this situation (you cannot find the solution of a negative square root, at least as a real number).
What you actually do is "impose" that the argument always ends in a yes or a no (you know the square root of a positive number or zero).
You then solve for x to determine the variable's ALLOWED values by setting the argument greater than or equal to zero:
Consequently, the function is in the domain.
Find the function's range:
The set of all y values in the function's range is when,
range of the function is in the interval (1, ∞).
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Answer: first 7,1 second 7, -1
Step-by-step explanation: edge 2023
a random sample of 200 patients is taken from a large medical clinic and each is classified as to whether or not they took an omega-3 fish oil tablet daily. it was found that those who consumed an omega-3 tablet every day had lower cholesterol levels than those who did not. is this an experiment study or an observational study? explain how you know.
Since the random sample of 200 patients are classified irrespective of their health conditions , as to whether or not they took an omega-3 fish oil tablet daily
what is random sample ?The most basic random sample gives each unit in the population an equal probability of being chosen.
calculation
The study in question is an observational one. No treatments were used in the study because there were none.
b) Since the 200 patients who made up the random sample were divided into groups without regard to their physical health.
When patients are divided into groups at random, it may be discovered that one group's patients are in better health than the other. The results then might become skewed. Therefore, our study's conclusion might be false.
c) The outcomes of this study cannot be generalized.
We cannot determine the actual cause of the elevated cholesterol level because the study is observational. The conclusions of an observational study cannot therefore be generalized.
d) No, we are unable to evaluate cause and effect in an observational study. There's a possibility that another factor could be working without the dependent.
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Please help me solve!
Answer:
47.5%
Step-by-step explanation:
Given that μ = 144, σ = 27:
For x = 144: z= 144-144/27=0
For x = 198: = 198-144/27 = 2
Therefore, From the normal distribution table: gives 0.5000 and 2 gives .97725
So the required percentage = 0.97725- 0.5000 = 0.47725= 47.5%
Hence, 47.5% of the population would be between 144 and 198
Grady marks down some $4.09 pens to $3.59 for a week and then marks them back up to $4.09. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.
The first change was
a decrease
of
0.1
% and the second change was
an increase
of
%. The two percent changes
are not
the same, and the
second
percent change is greater.
The solution is the two percent changes are not the same, and the second percent change is greater
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage
Given data ,
Let the initial value of the pens = $ 4.09
Let the final value of the pens = $ 3.59
So , the percentage change is calculated by
Percentage decrease = ( ( final value - initial value ) / initial value ) x 100
Substituting the values in the equation , we get
Percentage decrease = ( ( 3.59 - 4.09 ) / 4.09 ) x 100
Percentage decrease = ( -0.5 / 4.09 ) x 100
Percentage decrease = -0.122249 %
Therefore , the approximate percentage decrease = -0.1 %
Now ,
The value of the pens is increased to = $ 4.09
So , the percentage change is calculated by
Percentage increase = ( ( final value - initial value ) / initial value ) x 100
Substituting the values in the equation , we get
Percentage increase = ( ( 4.09 - 3.59 ) / 3.59 ) x 100
Percentage increase = ( 0.5 / 3.59 ) x 100
Percentage increase = 0.13927 %
Therefore , the approximate percentage increase = 0.1 %
Hence , the two percent changes are not the same, and the second percent change is greater
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when finding a minimum in a linear programming problem, it is possible to find more than one minimum value. yes or no
The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.
In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'
We need to state whether it is true or false.
We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.
Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.
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x can be 1,2,3,4
If x = 1, x?=-150
If x = 2, x?=-50
If x = 3, x?=50
If x = 4, x?=150
(x? Has to be the same in all questions)
Answer:
x=1
Step-by-step explanation:
because x has to be same in all number
Literal Equations
help asap !!
Answer:
Step-by-step explanation:
y = 6x - 12
6x - 12 = y
6x = y + 12
x = (y + 12)/6
Plot the image of point A under a dilation about point P with a scale factor of 3.
Answer:
3 down from p and 6 left
I hope this helps, sorry if it wrong. it should be right
hello can someone please help me solve this question:
graph 4x+6y>=10
>= meaning greater than or equal to
Explanation is there for your question
What is the answer i need answers now I'm am going to fail
pls explain to
38/53 is as simplest form.
As 53 is a prime no. and they do not have a common factor 38/53 can not be simplified further.
What is a fraction?A fraction is written in the form of p/q, where .
Fractions are of two types. They are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, a fraction 38/53.
Now 38 = 2×19 but 53 is a prime number 53 = 1×53 so they do no have any common factor to simplify.
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
Answer:12.9
Step-by-step explanation:
A bag contains 14 red tiles, 20 blue tiles, and 16 green tiles. A tile is randomly drawn from the bag, the color recorded, and then the tile placed back in the bag. If this procedure is done 40 times, how many times do you expect to draw a blue tile?
12
Therefore the required probability as a total number of the expected draw of blue tiles will be 16.
What is Probability?Probability = the number of possible paths to success / The total number of outcomes. That is a chance of getting an event
What is the formula for probability?The formula for calculating an event's probability is the ratio of favorable outcomes to the total number of outcomes. Probabilities are always between 0 and 1. Probability = Number of Favorable Outcomes / Total Number of Outcomes is the general probability formula.
Given:
Number of red tiles = 14
Number of blue tiles = 20
Number of green tiles = 16
total number of tiles = 14+20+16=50
P(blue) = number of blue tiles / total number of tiles
= 20/50
=2/5
40 times the procedure is repeated
so, answer=(2/5)*40 = 16
Therefore the required probability as a total number of the expected draw of blue tiles will be 16.
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If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours
Answer:
9 workers
Step-by-step explanation:
15 workers = 48 hrs build
x workers = 30 hrs build
cross multiply
15 × 30 = x × 48
450 = 48x
x =
[tex] \frac{450}{48} [/tex]
x = 9.37
so it will take approximately 9 workers to build a wall for 30hrs
i hope this helped
i need you help mate
I have a triangle with c as hypotenuse, b as opposite, and nothing for adjacent. Bottom left corner is 62 degrees and the right bottom corner is 90 degrees. Round answer to nearest 16th of an inch
Question is incomplete. Answering in a general way;
The side CA has a length of [tex]\sqrt{c^{2}-b^{2} }[/tex] and Angle C is of 28 degrees.
Given,
Right angled triangle ABC
Length of side AB = b
Length of side BC = c
Angle B = 62°
Angle A = 90°
We have to find the length of side CA and Angle C;
Here,
According to Pythagorean theorem,
Hypotenuse = [tex]\sqrt{base^{2}+altitude^{2} }[/tex]
Here,
Altitude = [tex]\sqrt{Hypotenuse^{2} -Base^{2} }[/tex]
CA = [tex]\sqrt{c^{2} -b^{2} }[/tex]
Now,
Sum of interior angles of a triangle is 180°
Then,
∠A + ∠B + ∠C = 180°
So,
90° + 62° + ∠C = 180°
∠C = 180° - 152°
∠C = 28°
That is,
The length of side CA is [tex]\sqrt{c^{2}-b^{2} }[/tex] and Angle C is 28°
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I don't know how to do 2x-y=3
Answer:
x=2 y=1
Step-by-step explanation:
Answer:
y=2x-3
Step-by-step explanation:
Your dog has a mass of 45.5 lb. what is the dog’s mass in kilograms? (note: 1 lb = 0.45 kg.)
If the mass of dog is 45.5 lb then the mass in kilogram is 20.475 Kg .
In the question ,
it is given that ,
the mass of the dog is = 45.5 lb ,
we have to convert the given mass of dog into Kilogram .
For that we will need the conversion rate ,
the conversion rate to convert mass from lb to Kilogram is given as , 1 lb is = 0.45 kg ,
So , 45.5 lb in Kilogram will be equal to = 45.5 × 0.45 ,
After multiplication ,
we get ,
mass = 20.475 Kg .
Therefore , the mass in Kilogram is 20.475 Kg .
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The sum of two numbers is 35 if one number is 4 times the second number find the numbers.
Answer: 28 and 7
7 x 4 = 28
28 + 7= 35
30 is 250% of what number? I will give brainliest!
[tex]30=2.5x \\ \\ 60=5x \\ \\ x=\boxed{12}[/tex]
↑
A rectangular swimming pool is 6 It deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 3898 cubic feet. Find the
dimensions of the pool.
The smaller dimension of the pool ist and the larger dimension is blank ft
Answer: Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.
find the volumes of the solid(s)
Answer:
28512cm cubed
Step-by-step explanation:
22/7×4.5 squared ×4squared×28
There are some coloured pins in a bag. The pins can be green,yellow, purple, or grey. A pin is going to be taken at random from the bag. The table shows the probabilities of picking a purple or grey pin.
The probability of picking a green pin is three times the probability of picking a yellow one.
a)Complete the table.
There are 14 purple pins in the bag.
b)Work out how many green pins are in the bag
a) Green is 0.3, Yellow is 0.1
b) There are 12 green pins in the bag
Given,
In the question:
There are some colored pins in a bag. The pins can be green, yellow, purple, or grey. A pin is going to be taken at random from the bag.
The table shows the probabilities of picking a purple or grey pin.
The table is not given in the question :
So, The table is :
Colors: Green Yellow Purple Grey
Probability: 0.35 0.25
To find the :
a)Complete the table.
There are 14 purple pins in the bag.
b)Work out how many green pins are in the bag.
Now, According to the question:
The probability is the ratio between the possible outcomes over the total outcomes:
The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)
The sum of the probabilities of all outcomes must equal 1.
A bag contains some green, yellow, purple and grey pins
∵ The probability of picking a purple pin P(purple) = 0.35
The probability of picking a grey pin P(grey) = 0.25
→ The total of all possible outcomes is 1
The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25
The sum of the probability of green and yellow pins = 0.4
P(green) + P(yellow) = 0.4 ⇒ (1)
∵ The probability of picking a green pin is 3 times the probability
of picking a yellow pin
P(green) = 3 P(yellow) ⇒ (2)
→ Substitute (2) in (1)
3 P(yellow) + P(yellow) = 0.4
4 P(yellow) = 0.4
→ Divide both sides by 4
P(yellow) = 0.1
The probability of picking a yellow pin is 0.1
→ Substitute P(yellow) in (20 by 0.1
P(green) = 3(0.1)
P(green) = 0.3
The probability of picking a green pin is 0.3
Green = 0.3, Yellow = 0.1
There are 14 purple pins in the bag
P(purple) = 0.35
0.35 of purple pins = 14
→ To find the total number of pins in the bag divide 14 by 0.35
The total number of pins = 14 ÷ 0.35
The total number of pins = 40 pins
P(green) = 0.3
The number of green pins = 0.3 × 40
The number of green pins = 12 pins
Hence, There are 12 green pins in the bag.
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result of 2/4+2/3+2+6
Answer:
[tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{4}+\frac{2}{3} +\frac{2}{6}[/tex]
[tex]\frac{6}{12}+\frac{8}{12} +\frac{4}{12}[/tex]
[tex]\frac{6 + 8 + 4}{12}[/tex]
[tex]\frac{18}{12}[/tex]
[tex]1\frac{1}{2}[/tex]
Answer:
[tex]\begin{gathered} \sf \frac{2}{4} + \frac{2}{3} + \frac{2}{6} = \\ \\ \sf\frac{12 \div 4 \times 2 + 12 \div 3 \times 2 + 12 \div 6 \times 2}{12} = \sf \\ \\ \sf\frac{6 + 8 + 4}{12} = \\ \\ \sf\frac{18}{12} = \frac{ 6}{4} = \\ \ \\ \sf\frac{3}{2} = \boxed { \sf1 \frac{1}{2}} \end{gathered}[/tex]
How to add heterogeneous fractions:
Heterogeneous fractions are fractions that have different denominators.
To add heterogeneous fractions, follow these steps:
Find the common denominator This is the l.c.m of the denominators.Divide the common denominator by the original denominator and multiply by the numerator.Write the results obtained in the previous step as numerators with the sign of the sum between them. The denominator is the common denominator.Add the numerators and keep the same denominator. Simplify the result if possible.A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Answer parts a and b.
The speed when the train travels 440 kilometers in 4 hours is 110 km per hour.
How to calculate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
In this case, the train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours.
The speed will be:
= Distance / Time
= 440 / 4
= 110 km per hour.
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Complete question
A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Calculate the speed.
The equation x² - 4x + y2-2y = 16 describes a circle. What is the y-coordinate of
the center of the circle?
Answer:
1
Step-by-step explanation:
→ Complete the square
( x - 2)² - 4 + ( y - 1 )² - 1 = 16
→ Simplify
( x - 2 )² + ( y - 1 )² = 21
→ Find centre
( 2 , 1 )
find y when x = 10 if y =8 when x = 20
Answer:
ANS:- Y =4
Step-by-step explanation:
x =20 half x =10
y = 8 half y = 4
Sustantivo correspondiente a reír atender veranear invernar beber profetizar valorar burlarse teorizar
The verb that corresponds to laugh based on the option is D. mock.
What is a verb?A verb is a word that denotes an action that is physical. Verbs are words that describe an action, an occurrence, or a state of being (exist). There must be a verb in almost every sentence. The infinitive is a verb's fundamental form.
It should be noted that mock simply means to laugh at or make fun of (someone or something) especially by copying an action or a way of behaving or speaking.
Therefore, based on the information, the correct option is D.
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Complete question
The verb corresponding to laugh
attend
drink
prophesy
mock
theorize
7
What is the solution to the inequality
below?
5x-10 ≥-3x + 14
A. x ≥-3
B. x≤-3
C. x ≥ 3
D. x ≤ 3
Answer: C. x ≥ 3
Step-by-step explanation:
5x−10≥−3x+14
Step 1: Add 3x to both sides.
5x−10+3x≥−3x+14+3x
8x−10≥14
Step 2: Add 10 to both sides.
8x−10+10≥14+10
8x≥24
Step 3: Divide both sides by 8.
8x/8 ≥ 24/8
x ≥ 3
Hope this helps!!
Sunny runs at a steady rate, and Moonbeam runs m times as fast, where m is a number greater than 1. If Moonbeam run to overtake Sunny a head start of h meteres, how many meters must Moonbeam run to overtake Sunny? ( Give your ansewr as an expression in terms of h and m.)
Hint : Let s be Sunny's rate. In terms of m and s, at what rate does Moonbeam catch up to Sunny?
Answer:
4 hours
Step-by-step :
If Sunny runs twice as fast as Moonbeam
Given the assumed data:
Sunny's speed = 12m/h
Moonbeam's speed= 6m/h
Therefore, if they run for 2 hours, Sunny would have covered 12 * 2 = 24 miles
While Moonbeam would have covered 6 *2 = 12 miles in the same 2 hours.
This given illustration shows that given that all parameters are equal, except the x2 speed of Sunny to that of Moonbeam, he would always be 2x faster than Moonbeam.
If they run for 4 hours, Sunny would have covered 12 * 4 = 48 miles
While Moonbeam would have covered 6 *4 = 24 miles in the same 4 hours.
nothing to hard just please give correct answer!!
The equation of the first graph is
y > 2x - 4
The equation of the first graph is
y ≥ -x + 4
How to get the equations of the linesThe graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m calculating using the points on the graph (0, -4) and (2, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (-4 - 0) / (0 - 2)
m = (-4) / (-2)
m = 2
c = y intercept, from the graph
c = -4
The equation of the line is y = 2x - 4
shading above the line is greater than and dotted lines means it does not have equal to
hence y > 2x - 4
for the second graph
the slope, m calculating using the points on the graph (0, 4) and (4, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (4 - 0) / (0 - 4)
m = (4) / (-4)
m = -1
c = y intercept, from the graph
c = 4
The equation of the line is y = -x + 4
shading above the line is greater than and solid lines means there is equal to in the inequality
hence y ≥ -x + 4
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Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with \frac {3}{4}
4
3
yard of fabric. The fabric costs $8 per yard.
You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings. (2 points)
2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.(2 points)
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with. (3 points)
4. Simplify your expression to find the total cost. Show your work. (3 points)
1) An expression for the amount of fabric needed to make 13 pairs of wings is; 3/4 * $8 = $6 each
2) An expression of the total cost is; 3/4 * $8 * 13 = $78
3) The way we will use associative and commutative properties is to start by treating 1 yard of fabric like the fraction 4/4.
4) Simplifying equals $78
How to solve algebra word problems?We are told that each pair of wings is made with 3/4 yard of fabric. Since the fabric costs $8 per yard. Thus;
1) 3/4 * $8 will give us the cost of the amount required for 3/4 yard of fabric. 3/4 * $8 = $6 each
2) Now, we are told that Mr. Townsend needs to make 13 pairs of butterfly wings and as such;
Amount needed to make 13 pairs is expressed as; 3/4 * $8 * 13 = $78
3) Treat 1 yard of fabric like the fraction 4/4.
Now, if this 1 fabric is equal to $8, then it means that 3/4 of the fabric will be $6. That is for one pair of butterfly wings, there's 13 of those so multiply $6 by 13.
This pattern is easier because we know how much 1 fabric costs, but we don't know what 3/4 of it does, so we treat 1 yard of fabric as the fraction 4/4.
4) Simplifying the expression gives; $78
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