Answer:
1.6
Step-by-step explanation:
| -1.6 | = 1.6
finding the domain and range
Answer:
Domain: -inf to inf
Range: -1, inf
Step-by-step explanation:
maths giving 10 point asap 1 question only
1) y = 6
2) x = 3
3) y = - 2/3
4) x = - 6
Step-by-step explanation:So all we have to do is substitute the known 'variable' and solve for the unknown variable.
1) 2(-3) + 3y = 12
3y = 12 + 6
y = 6
2) 4y = (1/3)x - 5
4(-1) = (1/3)x - 5
(1/3)x = 5 - 4
x = 3
3) (x/3) - 2 = y
(4/3) - (6/3) = y
y = (-2/3)
4) 2(x+1) = 5y
2(x+1) = 5(-2)
2x + 2 = - 10
2x = -12
x = -6
y = 4x + 5 ; y = x - 4
Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
17. Given kite RSTU, what is mRUS?
So
<TRU=<TRS=27°Diagonals of Rhombus intercect at 90°.
So
Using angle sum property
\(\\ \tt\longmapsto 90+27+<RUS=180\)
\(\\ \tt\longmapsto <RUS=180-117=63°\)
Answer:
63°Step-by-step explanation:
The diagonals of the kite are perpendicular: RT ⊥ SU
RT is angle bisector of ∠SRU
∠RSU and ∠RUS are equal angles and are complementary with ∠SRT:
m∠RUS = 90° - 27° = 63°Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.
Which student has the method that is most representative of the school’s population?
Raina suggested that she ask everyone in her math class on Friday.
Miya suggested that she ask students sitting in the first row of her classes on Friday.
Ryo suggested that he ask the basketball players at his practice on Friday.
Amir suggested that he ask every tenth student as he or she walks into school in the morning.
The students who has the method that is most representative of the school’s population is Amir.
What is a population?Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.
Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)
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Evaluate what is the answer to
3.4
+
5.14
a church has 7 bells in its bell tower. before each church service 3 bells are rung in sequence. no bell is rung more than once. how many sequences are there?
There are 210 sequences for 7 church bells to rung with the given conditions. Using permutations, the required number of sequences is calculated.
What are permutations?A sequence or arrangement that can be framed by taking some or all of a finite set of things (or objects) is called a permutation.
The formula for finding the number of such arrangements is,
ⁿPₓ = n!/(n - x)!
Calculation:It is given that, a church's bell tower has 7 bells. 3 of them will ring in a sequence before each service and no bell is rung more than once.
So, the number of sequences that the bells will form is calculated by using the permutations formula. I.e., ⁿPₓ = n!/(n - x)!
Here, n = 7; x = 3
Then,
ⁿPₓ = n!/(n - x)! ⇒ ⁷P₃ = 7!/(7 - 3)! = 7!/4!
⇒ ⁷P₃ = (7 × 6 × 5 × 4!)/4! = 7 × 6 × 5 = 210
Therefore, there are 210 sequences for ringing the bells.
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Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?Find the unknown quantity.
Answer: 4.5
Step-by-step explanation:
It comes from after you divide 27 ÷ 6
Answer:
4.5 ounces
Step-by-step explanation:
Okay, to find out how much rice is in each container, you need to divide the 27 ounces into 6 equal groups.
This can be calculated using division.
27 ÷ 6 = ?
27 ÷ 6 = 4.5
Therefore, there are 4.5 ounces in each container.
Which of the following points are in the third quadrant of the xy-plane? Check all that apply. O A. (-4,-2) O B. (6,-2) O C. (-7, 6) O 2 D. (2, 2) O E. (4,8) O F. (-2,-8)
Answer:
a and f because they are in the negative-negative quad
A mathematics competition uses the following scoring procedure to discourage students from guessing (choosing an answer randomly) on the multiple-choice questions. For each correct response, the score is 7. For each question left unanswered, the score is 2. For each incorrect response, the score is 0. If there are 5 choices for each question, what is the minimum number of choices that the student must eliminate before it is advantageous to guess among the rest?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Please include the procedure
The minimum number of choices in a scoring procedure that the student must eliminate before it is advantageous to guess among the rest is 4. Option E is the correct option.
Suppose that there are n choices remaining for a particular question.
The probability of answering this question correctly is 1/n if the student guesses and the probability of leaving the question unanswered is (n-1)/n.
The expected score for guessing is therefore (7/n) × (1/n) + (2/n) × ((n-1)/n) = (7 + 2(n-1))/n² = (9 - 2/n)/n.
The expected score for leaving the question unanswered is 2/n.
The student should guess if and only if the expected score for guessing is greater than the expected score for leaving the question unanswered.
That is, we must have (9 - 2/n)/n > 2/n, or equivalently 9 > 2n, or n < 4.5.
Thus, if the number of choices remaining is 4 or more, the student should not guess; if the number of choices remaining is 3 or fewer, the student should guess.
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Find the measure of pkt
Answer:
32°
Step-by-step explanation:
You want the measure of the smaller angle of the linear pair marked (3g+23) and (7g+127).
Linear pairThe angles of a linear pair total 180°, so we have ...
(3g +23) +(7g +127) = 180
10g = 30 . . . . . . . . . subtract 150
g = 3 . . . . . . . . . divide by 10
The smaller angle is ...
∠PKT = (3·3 +23)°
∠PKT = 32°
write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9
Answer:
roben,dove,raven ,goose
Step-by-step explaunation:
you need to change them to the same denominator *first*
Answer:
Robin, Raven, Turtle dove, Canada goose.
Step-by-step explanation:
We are given the size of the eggs.
Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 UnitsNow, we need to put the sizes of eggs in ascending order.
=> \(\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}\)
Step 1: Make the denominators same.
=> \(\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}\)
=> \(\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}\)
Step 2: Order these egg sizes in ascending order.
=> \(\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}\)
=> \(\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}\)
Step 3: Match the sizes of the eggs with the bird.
Robin, Raven, Turtle dove, Canada goose.
Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:
Robin, Raven, Turtle dove, Canada goose.
Hoped this helped.
what is x+5=8 step by step
Answer:
x = 3
Step-by-step explanation:
x+5=8
x+5-5=8-5
X=3
Answer:
x = 3
Step-by-step explanation:
basically 2 ways
1st: Transposing
1) x + 5 = 8
2) transpose or transfer +5 to the other side
NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)
3) x = 8 - 5
x = 3
2nd: Property of Equality (whatever u do one one side, you do the same to the other)
1) x + 5 = 8
2) x + 5 - 5 = 8 - 5
x = 3
the main focus is to isolate x, or to make it be alone in one side of the equation
Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4
Answer:
C
Step-by-step explanation:
13+5=18 not 19 therefore C is not true
Write an equation in point-slope form for a line that passes through the given set of points.
(-2, - 4) and (1, 8)
First off, we need the slope
\(\frac{y2-y1}{x2-x1}\)
\(\frac{8-(-4)}{1-(-2)}\)
That leaves you with
12/3 = 4
point-slope form: y-y1 = m ( x - x1)
So...
y - (-4) = 4 ( x - (-2))
y + 4 = 4 (x + 2)
y + 4 = 4x + 8
Now subtract 4 from both sides of the equation
y = 4x +4
HELP ASAP
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Suppose that a certain property is located in a state that uses the government rectangular survey system for legal descriptions of property. If the property is located 57 miles north and 38 miles west of the starting point for property descriptions which township is it located in
The property descriptions which the township is located in is 9 North and Range 6 West
How to determine the townshipThe townships serve as the main elements in the government's rectangular survey approach for identifying the position of properties. A township comprises a square region of six miles on all its four sides.
In order to ascertain the exact township where the property is situated, it is necessary to compute the township coordinates using the specified distance.
From the information given, we have to convert the distance to township units.
We have;
57 miles north / 6 miles = 9.5 townships north
38 miles west / 6 miles = 6.33 townships west
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Can someone pls help me
Answer:
I would say 15
Step-by-step explanation:
plz help the more i type and what not the more my wrist hurts so plz help ASAP SO I CAN REST IT
Answer:
You got the answer already but whatever
50.41 and 51.84
Step-by-step explanation:
Like you already have the answer up there.
The City Sights tour company had the same ratio of tourists to guides on both days this weekend. On Saturday, there were 120 tourists and 18 guides. OnSunday, there were 40 tourists.
Answer: 6 guides
Step-by-step explanation:
Question wants to know the number of Guides present on Sunday.
On Saturday there were 120 tourists and 18 guides. The ratio was therefore:
120 : 18
On Sunday, the ratio must be the same and there are 40 tourists. You can solve this using direct proportion and multiplying:
120 : 18
40 : x
120x = 18 * 40
x = 720/120
x = 6 guides
Which expression is equivalent to (6x’2 - 9x -24)2/3?
Answer:
6x-16
Step-by-step explanation:
The expression is equivalent to :
\(4x^2-6x-16\)
What is an equation or expression example?The difference is that expressions do not include an equal sign and are basically mathematical “phrases.” Equations include an equal sign, and show equivalency between two mathematical expressions. For example, 2x + b is an algebraic expression, but 2x + b = 14 is an algebraic equation.
The expression is given as:
\((6x^2-9x-24)\frac{2}{3}\)
The expression solved by following steps:
Simplify or expand :
\((6x^2-9x-24)\frac{2}{3}\\\\6x^2(\frac{2}{3})-9x(\frac{2}{3})-24(\frac{2}{3})\)
Solved by multiplication steps, we get:
\(4x^2-6x-16\)
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X+16=25 solve the equation
Answer:
x=9
Step-by-step explanation:
25-16=9
you subtract 16 from both sides
x=9
EXPLANATION:
x=25-16
x=9
9+16=25
Please help me with this
Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?
Answer:
x = -25.
Step-by-step explanation:
If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.
f(g(x)) = -10x + 5, and x = 3.
-10 * 3 + 5
= -30 + 5
= -25.
Hope this helps!
Evaluate the expression x=4 , y=-2 , z=-3
Answer:
36
Step-by-step explanation:
I don’t know if this half the problem or something because you only need to know what a equals but...
1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20
2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20
3. So you can simplify that again to 56-20 and then to 36
Sorry I’m really bad at explaining but I hope this helps
the mean per capita consumption of milk per year is 138 liters with a standard deviation of 28 liters. if a sample of 60 people is randomly selected, what is the probability that the sample mean would be less than 132.25 liters? round your answer to four decimal places.
The probability that the sample mean would be less than 132.25 liters is 0.0558.
What is the central limit theorem?The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape. The distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.
Given, \(\mu\) = 138 , \(\sigma\)= 28
According to the central limit theorem,
P(\(\bar{x }\) < x) = P( Z < x - \(\mu\) / \(\sigma\) / \(\sqrt{n}\) )
So,
P( \(\bar{x }\)< 132.25 ) = P( Z < 132.25 - 138 / 28 / \(\sqrt{60}\) )
= P( Z < -1.5907)
= 1 - P( Z < 1.5907)
= 1 - 0.9442
= 0.0558
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A fish was swimming 2 1/2 feet below the water’s surface at 1:00 p.m. Three hours later, the fish was at a depth that is 3 1/4 below where it was at 1:00 p.m. What rational number represents the position of the fish with respect to the water’s surface at 4:00 p.m.?
Answer:
Is there any answer choices if nt then the answer is 5 3/4
Step-by-step explanation:
Add the numeral numbers,2+3=5
then you can change 1/2 into 2/4
Add the fraction 1/4 + 2/4 = 3/4
Select all the pairs of like terms in the expression.
25y + 15x – 0.2y – 6 + (–2)
A
25y and 15x
B
25y and –0.2y
C
15x and –0.2y
D
–0.2y and 2
E
–6 and –2
50 points for thorough explanation!
graph the equation shown below by transforming the given graph of the parent function. y=2^{x}-5 y=2 x −5
The graph of the equation y = \(2^{x}\) - 5 is obtained by shifting the graph of
y =\(2^{x}\) downside by 5 units.
To find a graph of equation y = \(2^{x}\) - 5, we can start with the reference of the parent function y = \(2^{x}\) and also apply the necessary transformations. Initiating with the graph of the parent function y =\(2^{x}\) - 5.
This is an exponential function that passes through the point( 0, 1) and has a positive pitch. Apply the transformation -5 units over. This means we shift the entire graph over by 5 units. The point( 0, 1) will now come( 0,-4).thus, the graph of the equation y = \(2^{x}\)- 5 is attained by shifting the graph of y = \(2^{x}\) downcast by 5 units. The factual shape of the graph will act as that of the parent exponential function, but it'll be shifted over by 5 units.
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The correct question is given below-
Graph the equation shown below by transforming the given graph of the parent function. y= \(2^{x}\) obtain y=\(2^{x}\)-5.