The domain of the inverse function is {5,6}. And as a compound inequality the domain is 5<x<6.
What is compound inequality?A mathematical statement that expresses the inequality between two inequalities combinedly.
from the graph, we have two inequalities, x>5 and x<6
it can be written as 5<x<6
What is inverse of a function?A function that can be obtained by reversing the primary function is termed as inverse of function. it is denoted by f⁻¹.
The graph shown is got from an inverse function whose domain is {5,6} and ranges are {-2, -4}
The graph also refers the inequalities of x>5 And x<6
compound inequalities of domain 5<x<6
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 4
Blue 4
Green 15
Yellow 9
Purple 3
Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.
Step-by-step explanation:
OUT of 35 spins 4 + 15 + 3 = 22 were blue or green or purple
22/35 probability = 63%
x + 6 = 5
Pls help solving this!
Answer:
X=5-6
X=-1
so, the answer is -1
Answer:
\(\boxed{\red{\bf x = -1}} \)
Step-by-step explanation:
Given equation:-
\(\sf x + 6 = 5\)
We need to find the value of x of the given equation.
Solution:-
\(\sf \longmapsto \: x + 6 = 5\)
\(\underline{ \rm \: Subtract \: 6 \: from \: both \: sides : -}\)
\(\sf \longmapsto \: x + 6 - 6 = 5 - 6\)
\( \rm \: Simplify \: The \: \: LHS :\)
\(\sf \longmapsto \: x + 0 = 5 - 6\)
\(\sf \longmapsto \: x = 5 - 6\)
\( \rm \: Now , \: Simplify \: The \: RHS:\)
\(\sf \longmapsto \: x = 5 - 6\)
\(\sf \longmapsto \: x = - 1\)
We can't simplify this equation more.
Hence, the value of x would be -1 .
________________________________
I hope this helps!
\(\huge{\sf :)}\)
Find x in the following triangle
Answer:
hope it helps, twanks you (owo)
Step-by-step explanation:
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
How to make 10.74 in two different ways?
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
Sarah mixes ⅓ cup of sugar with ½ cup of cream cheese to make a topping for cupcakes. Sarah uses 3/12 cup of the mixture to top each cupcake. How many cupcakes can Sarah top?
Answer:
thanks for the points
Step-by-step explanation:
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
Select the action you would use to solve x/3=12. Then select the property that justifies that action
Answer:
To solve this I would multiply both sides by 3
Step-by-step explanation:
i would use the multiplication property of equality
The property that justifies that action x/3=12 is a linear question using reciprocal law.
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.explanation:-
x/3= 12
x = 12*3 ( using reciprocal)
hence x = 36
solving this we will get the valve of Y if x is given.
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How will the product change if one number is increased by a factor of 12 and the other is decreased by a factor of 4
If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.
Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.
The initial product of the two numbers is:
A x B
If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:
(12A) x (B/4) = (12/4) x A x B = 3AB
So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.
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What would be the angle of elevation of a tree from the ground, if the height of the
tree and its shadow are equal in length?
Answer:
45°
Step-by-step explanation:
The diagram for this question has been attached to this response. Please check.
The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.
From the diagram;
θ is the angle of elevation
x = height of the tree
y = length of the shadow of the tree = x
Therefore,
tanθ = \(\frac{x}{y}\) [Remember that y = x? Then substitute into the equation]
tanθ = \(\frac{x}{x}\)
tanθ = 1
θ = tan⁻¹(1)
θ = 45°
Therefore, the angle of elevation is 45°
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. If 40 people attend the play and the play brought in $440, then __?__children attended the play.
The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.
Given :
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. 40 people attend the play and the play brought in $440.The following steps can be used in order to determine the total number of children attending play:
Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.
Step 2 - The linear equation that represents the total number of people attending the play is:
x + y = 40
x = 40 - y --- (1)
Step 3 - The linear equation that represents the price of all the tickets is:
12x + 8y = 440 --- (2)
Step 4 - Now, substitute the value of 'x' in the above expression.
12(40 - y) + 8y = 440
Step 5 - Simplify the above expression.
480 - 12y + 8y = 440
40 = 4y
y = 10
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 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Image above
Answer:
Its the second one because
Step-by-step explanation:4/6-473*329+4= y=x+3
Lorenzo and his sister, Mariana, are decorating gingerbread houses. They want to make grass, so they turn their icing green by mixing yellow and blue food coloring. Both of them use the same amount of yellow food coloring, but Mariana adds less blue food coloring than Lorenzo. Whose icing is a darker shade of green?
Answer:
lorenzo
Step-by-step explanation:
because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)
Answer:
Lorenzo's icing.
Step-by-step explanation:
They both used the same amount of yellow icing, but if Mariana adds less blue food coloring, then Lorenzo's icing will be darker because he added more blue than Mariana.
Please show your answer.
Answer:
1 and 12
Step-by-step explanation:
To find the constant of proportionality, first identify the x and y variables. To find the ratio of weight to number of sticks, x will be the weight and y will be the number of sticks of butter. Use the equation k = y ÷ x to find the constant of proportionality.
Y = KX
P.s : If I am wrong apologies.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/v/example-identifying-a-proportional-relatioship-given-a-constant-of-proportionality
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
Gabrielle is 5 years older than Mikhail. The sum of their ages is 51. What is Mikhail's age?
Answer:
Mikhail is 24 years old
Step-by-step explanation:
Let, the Age of Mikhail = x Age of Gabrielle = x + 5It is given that, x + x + 5 = 532x = 53 - 5x = 48/2x = 24
Find the interest.
. 750$, 6.5%, 2years
Answer:
simple interest=$97.50.
compound interest= $100.668
Step-by-step explanation:
Given:
Principal (P) = $750
Rate (R) = 6.5% (in decimal form, 0.065)
Time (T) = 2 years
Simple Interest = Principal*Rate*Time
Using the formula, the simple interest is calculated as follows:
Simple Interest = $750*0.065*2 = $97.50
Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.
Again:
Compound Interest = Principal*(1 + Rate)^(Time)-Principal
Using the same values as above, the compound interest can be calculated as follows:
Compound Interest = $750*(1+0.065)^(2)-$750
= $750*1.065^2 -$750
= $750 × 1.134225 - $750
= $850.66875-$750
= $100.668
Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668
Commitment to goals can be promoted in which of the following ways?
Commitment to goals can be promoted in through:
by imagining how you will feel when you achieve themby identifying who or what might keep you from achieving themWhat is goal commitment?Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and
Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.
Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.
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For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1
Answer:
x+2=10
x minus 4 = 4
x minus 2 = 10
3x = 4 are the answers .
Answer:
what he said ex for x-2=10 thats naught rite the correct are:
X+2=10
X-4=4
3x=24
X/8=1
Step-by-step explanation:
did it on the test!!!
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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Will give Brainliest!
2x2(69.4 x 2)
Answer:
555.2
Step-by-step explanation:
Find the area of the shaded polygons.
(Im giving 100 points to whoever solves)
Answer:
Area of the parallelogram = 120 square units
Area of the triangle = 17.5 square units
Area of the trapezoid = 372 square units
Step-by-step explanation:
The first polygon is a parallelogram with a base of 15 units and a height of 8 units.
\(\begin{aligned}\sf Area\;of\;a\;parallelogram&=\sf base \times height\\&=\sf 15 \times 8\\&=\sf 120\;square\;units\end{aligned}\)
Therefore, the area of the parallelogram is 120 square units.
\(\hrulefill\)
The second polygon is a triangle with a base of 5 units and a height of 7 units.
\(\begin{aligned}\sf Area\;of\;a\;triangle&=\sf \dfrac{1}{2} \times base \times height\\\\&=\sf \dfrac{1}{2} \times 5 \times 7\\\\&=\sf 17.5\;square\;units\end{aligned}\)
Therefore, the area of the triangle is 17.5 square units.
\(\hrulefill\)
The third polygon is a trapezoid with bases of 7 units and 24 units, and a height of 24 units.
\(\begin{aligned}\sf Area\;of\;a\;trapezoid&=\sf \dfrac{sum\;of\;bases}{2} \times height\\\\&=\sf \dfrac{7+24}{2} \times 24\\\\&=\sf \dfrac{31}{2}\times 24\\\\&=\sf 372\;square\;units\end{aligned}\)
Therefore, the area of the trapezoid is 372 square units.
Answer:
see below
Step-by-step explanation:
To find:-
The areas of the given shaded polygons.Answer:-
There are three polygons viz parallelogram, triangle and a trapezium. To find out the areas we can use the following formulae :-
Area of triangle :-
Area = 1/2 * base * heightArea of parallelogram:-
Area = base * perpendicular heightArea of trapezium:-
Area = 1/2 * (sum of parallel sides)*distance between the sidesNow we may use the above formulae as ,
Area of the given parallelogram:-
→ A = base * height
→ A = * 15 * 8
→ A = 120units²
Area of the given triangle:-
→ A = 1/2 * b * h
→ A = 1/2 * 5 * 7
→ A = 17.5 units²
Area of the given trapezium:-
→ A = 1/2 * sum of || sides* distance between them
→ A = 1/2 * (7+24) * 24
→ A = 12 * 31
→ A = 372 units ²
This is our required answers .
A CBS News/New York Times poll of 1,000 adults in the United States asked the question, "Do you think global warming will have an impact on you during your lifetime?" (CBS News website). Consider the responses by age groups shown below.
Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.
Define probability?Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.
Positive Results/Total Results = x/n = Probability (Event)
The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:
P (18-29 and no) = 293/(134 + 293 + 117) = 0.536
The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:
P (30+ and no) = 432/(131 + 432 + 178) = 0.654
The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:
P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265
Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.
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The complete question is:
Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
82. Write an expression that represents the number that
(a) is 7 more than X;
(d) exceeds X by 7;
(b) is 7 less than X;
(e) is X less than 7;
(c) is X more than 7
(f) exceeds 7 by X
Answer:
dont understand 14+14=π
Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
Percent that’s equivalent to 15/50
The percentage that equivalent to 15/50 is 30%
The given term is 15/50
The percentage is defines as a relative value indicating hundredth parts of any number. It is denoted using the percentage symbol "%". We can also say that percentage is a number or ratio expressed as a fraction of 100.
The given term is 15/50
Here the denominator is 50 and numerator is 15
To find the equivalent percentage, first we have to divide 15 by 50, then multiply the result by 100
15/50 = 0.3
Multiply the result by 100
0.3×100 = 30%
Hence, the percent that equivalent to 15/50 is 30%
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PLEASE HELP ME!
What is radiant energy? Give an example.
Answer:
Radiant energy is the energy of electromagnetic waves.
Step-by-step explanation:
I
Radiant energy is energy that is transferred by electromagnetic radiation.
Example:
The heat emitted from a campfire.
compare: These two equations
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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