The graph first represents the provided piecewise function option first is correct.
What is a piecewise function?The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]
[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]
[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
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a rectangular prism is 5m long, 4m wide, and 6m hight. what is the sum of the lengths of its edges?
Answer:
60
Step-by-step explanation:
4(5+4+6)
4(15)
60
If Scott started by asking 3 friends to sponsor him and each of those friends asked
three friends, how many sponsors would he have on the 4th week
Answer:
336 sponsers
Step-by-step explanation:
3+(3×3)
=3+9
=12
for the 4th week:
12×7=84
84×4=336
HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
Step-by-step explanation:
just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.
the tools and definitions to use are given in the description. we only need to use them.
the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).
so, the seeable distance D in miles is then
D = sqrt(2×50) = sqrt(100) = 10 miles
she will be able to see approximately 10 miles to the horizon.
PLEASE HELP ME WITH THIS ASAP
Answer:
x=46
Step-by-step explanation:
4(x+1)-3x=50
first you gotta take care of the () so multiple by 4
(4x+4) -3x=50
combine like terms, subtract 4-3 to get 1 so you have 1x left
4 + x = 50
and then solve for x
x=46
( i checked it to make sure it was right so dw)
Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction?
The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.
A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.
In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.
A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.
A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.
Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.
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please help mee, (20 points will give brainliest!!!)
Answer:
A) 48
B) -30
Step-by-step explanation:
Hello!
Part ATo compute f(-1) and f(5), we simply replace x with -1 and -5.
Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]The answer to A is 48
Part BWe have the values for f(-1) and f(5), so we just switch the operation
[tex](9) - (39)[/tex][tex]-30[/tex]The answer to B is -30
Someone help me : The Venn diagram below shows the number
of customers in a restaurant who ordered
starters and desserts. There were 23
customers in total.
What is the probability that a customer
picked at random ordered a starter but did
not order a dessert?
Give your answer as a fraction in its
simplest form.
Answer:
5/23
Step-by-step explanation:
▪︎ There are 23 customers in total.
▪︎ Only 5 of them ordered a starter but not a dessert.
▪︎ => 5/23
The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total Customers= 23
and, Customer like starter=5
Customer like Dessert =8
Customer like both =7
So, probability that a customer picked at random ordered a starter but did not order a dessert = 5/23
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Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.
The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
What is an expression?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
Here we have two pieces of information
Gas station A:-
3 gallons for $9.15
1 gallons for $9.15 / 3 = $ 3.05
Gas station B:-
P = 3.08g
It means that station B is selling the gasoline at a higher price.
Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
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The area of a square can be represented by the expression x10. which monomial represents a side of the square?
The side of the square is x^5 .
What is the Area of the square?Area of a square = (side)² = a²,
Given;
area of a square = [tex]x^{10}[/tex]
Equating it with the general formula of square
Area of a square = a²,
a² = [tex]x^{10}[/tex]
Taking square root on both sides,
[tex]a = \sqrt{x^{10}} \\\\a = x^5[/tex]
Hence, the side of the square is x^5.
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Ayuda
Utilizando el teorema de Pitágoras, cual sería el valor del cateto C ?
# How would you teach English Subject at your Bridge course class,if you were an English Teacher?
english and maths teacher
EMERGENCY!! 25 POINTS!! Find 40th term of 5n - 3
Answer:
197
Step-by-step explanation:
the answers 197 because if an=5n-3 then a40= 197
In a class of 20 students:
11 have a brother
9 have a sister
6 have neither
Fill in the Venn Diagram.
The Venn diagram is given below. Then the number of students who have brother and sister will be 6.
What are sets?A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
In a class of 20 students:
11 have a brother, 9 have a sister, and 6 have neither.
Then the Venn diagram will be
11 – a + a + 9 – a = 20 – 6
20 – a = 14
a = 6
The Venn diagram is given below.
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help me now !!!!!!!!!!!!!!!!
In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
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which statement is correct?
Answer:
The second and third equations are correct.
Step-by-step explanation:
Note that the equations are all the same, with the exception of the math operation (=,>,<,[tex]\leq[/tex], etc.). Let's do one calculation and then decide which of the statements is true.
The components may be simplified by separating the numbers from the exponents and doing the calculations separately:
(2.06x10^-2)(1.88x10^-1) becomes (2.06*1.88)*(10^-2 * 10^-1)
Left Side:
(2.06*1.88) = 3.91
(10^-2 * 10^-1) = 10^-3 [The exponents add when multiplying]
(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3
Right side:
(7.69/2.3) = 3.343
(10^-2)/(10^-5) = 10^3 [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3 ]
(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3
For all equations:
LEFT RIGHT
3.91x10^-3 3.343x10^3
We can now answer the question. Is the left side (3.91x10^-3 )
A. <
B. =>
C. >, or
D. =
to the right side (3.343x10^3)
We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides. Think of it as dividing both sides by 10^3.
Correct?
A. 3.91 < 3.34 NO
B. 3.91 => 3.34 YES
C. 3.91 > 3.34, or YES
D. 3.91 = 3.34 NO
(6x + 1)
79°
(2x + 10)
What is the value of x?
OX= 2.25
O x = 11.25
O x = 13
Ox=22
Answer:
x = 22
Step-by-step explanation:
2x+10+79 = 6x+1
89-1 = 6x-2x
88 = 4x
22 = x
The measure of the unknown value {x} in the given figure is 22.
What is angle?An angle is formed when two rays have the same end point. The common end point is called vertex.
Given is to find the measure of the unknown value {x}.
The external angle will be equal to the sum of two internal opposite angles. Mathematically, we can write -
6x + 1 = 2x + 10 + 79
6x - 2x = 88
4x = 88
x = 22
Therefore, the measure of the unknown value {x} in the given figure is 22.
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Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
[Please answer ASAP, need help on assignment due today.]
Answer:
The triangle will translate along the arrow and reach the head of the arrow.
Step-by-step explanation:
Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.
In the given figure, the triangle is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.
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. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen. What is his profit or loss? (1 score = 20) Profit and Loss 10. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen . What is his profit or loss ? ( 1 score = 20 ) - P : 60
Answer:
profit=Rs60
Step-by-step explanation:
I hope it helps.
probability of hitting the shaded area
The probability of hitting the shaded area is 0.64
How to determine the probability?The diameters are given as:
D = 10
d = 6
The shaded area is calculated as:
Shaded = π((D/2)² - (d/2)²)
So, we have:
Shaded = π((10/2)² - (6/2)²)
Evaluate the exponents
Shaded = 16π
The area of the big circle is calculated as:
Area = π(D/2)²
So, we have:
Area = π(10/2)²
Evaluate the exponents
Area = 25π
The probability of hitting the shaded area is:
P = 16π/25π
Evaluate
P = 0.64
Hence, the probability of hitting the shaded area is 0.64
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9. The results of a random survey is displayed in the histogram as shown.
Number
of
Walkers
25
50
25
20
15
10
75
5
0
1-4
Walking Record
5-8
How many people are in the sample survey?
O 100
9-12
13-15
16-19
Miles per Weeks
The number of people in the sample survey is 75.
Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.
The sample survey has
5 people in 1-4 miles per week
10 people in 5-8 miles per week
15 people in 9-12 miles per week
20 people in 13-15 miles per week
25 people in 16-19 miles per week
The number of people in the sample survey is
5 + 10 + 15 + 20 + 25
=5(1 + 2 + 3 + 4 + 5)
=5(15)
=75
Hence, the number of people in the sample survey is 75.
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r,u,t,s are positive
RXS=15
SXT=3
TXV=7
RXV=??
Answer:
35
Step-by-step explanation:
R × S = 15 could be 5 × 3 = 15, 3 × 5 = 15
15 × 1 = 15, 1 × 15 = 15
S ×T =3 From our previous step we can see that S could be 1 or 3 or 5 or 15.
Given that S×T =3, will make sense that S is 1 or 3
If S is 1 then T is 3 and if S is 3 then T is 1, so multiplied will give 3.
T×V=7 From previous step we see that T could be 1 or 3.
Since T×V = 7 it will make sense that T is 1, and therefore V is 7.
T ×V = 7, S ×T =3, R × S = 15, R × V = ??
1 × 7 = 7, S ×1 = 3, R × 3 = 15, 5 × 7 = ??
3 ×1 = 3, 5 × 3 = 15, 5 × 7 = 35
The scores of a high school entrance exam are approximately normally distributed with a given mean mu = 82.4 and standard deviation sigma = 3.3. what percentage of the scores are between 75.8 and 89? 68% 95% 99.7% 100%
The percentage of the scores that are between 75.8 and 89 is; 95%
How to find the percentage from z-score?We are given;
Population mean; μ
Standard deviation; σ = 3.3
Thus;
z-score for a mean score of 75.8 is;
z = (75.8 - 82.4)/3.3
z = -2
z-score for a mean score of 89 is;
z = (89 - 82.4)/3.3
z = 2
From online p-value from z-score calculator, the p-value between both z-scores is;
p-value = 0.9545 = 95.45%
Approximating to the nearest percent = 95%
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Answer:
95
Step-by-step explanation:
it is
Solve the equation
This is a question from a mock exam I could not answer
How many zero pairs must be added to the function
f(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?
4
10
21
25
1 zero pair of 25 was added to bring given function into vertex form.
What is a Zero Pair ?A zero Pair is the set of two numbers which when added together gives 0.
The function given is
f(x) = x² -10x -4
To convert it into the vertex form
y = a(x-h)² +k
f(x) = x² -10x +25 -25 -4
f(x) = x² -10x +5² -25-4
f(x) = (x-5)² -29
Therefore this is the given function's vertex form and
1 zero pair of 25 was added to bring it into that.
Therefore Option D is the answer.
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find x and y. Please help me with my math
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
what is the y-intercept of f(x)=(1÷4)
What is the range of the relation in the table below?
Range is the set of all values which the given function can output. The correct option is A.
What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.Since y is the output for the given function, and the only outputs that can be seen for the function are 0, 2, and 4. Therefore, the range of the function is {0,2,4}.
Hence, the correct option is A.
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Which equation can be simplified to find the inverse of y = 5x² + 10?
Ox=5y² + 10
O-5X+10
O-y=5x² + 10
1
O y = x² + 10
Answer:
[tex]x = 5y {}^{2} + 10[/tex]
The inverse of the function is x = 5y² + 10.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the inverse of a function, we need to solve for x in terms of y.
To do this, we can start by replacing y with x and solving for x.
y = 5x² + 10
x = 5y² + 10
Now we have solved for x in terms of y, which gives us the inverse of the original function.
So the equation that can be simplified to find the inverse of y = 5x² + 10 is:
x = 5y² + 10
Thus,
The inverse of the function is x = 5y² + 10.
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Examine Carmen's plans for rail lines at a train station.
2
(6x + 5)°
X
48%
What is the measure of angle 2? m/2 =
K
m
(7x-4)°
t
The measure of angle 2 is 73.
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
As, angle 1 and 2 are supplementary
<1 + <2 + (6x +5) =180
And, by corresponding angle, <1= 48
So, 48 + <2 + (6x +5)= 180
<2 + (6x +5) = 132
Also x= 9
then, <2 = 132 - 59
<2= 73.
Hence, measure of <2 is 9.
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Which describes the graph of y= -(x + 6)² + 6?
O A. Maximum at (-6, 6)
OB. Maximum at (6, 6)
OC. Minimum at (-6, 6)
OD. Minimum at (6, 6)
Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).