Answer:
x = 2 and x = 3
Step by step explanation:
[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]
[tex]\text{So, x = 3 is a solution.}[/tex]
1/3 of 12 = 2/3 of ?
i need some extra letters in here( ignore this part, just solve the equation above please)
Answer:
12Step-by-step explanation:
1/3 of 12 = 2/3 of ?
1/3 of 12 =
(12 : 3) =
4
4 * 2 = 8
8 + 4 =
12
Please help, will mark Brainliest!
1. Does the relationship between number of people and the bill appear to be weak, moderate or strong?
2. Does the relationship between number of people and the bill appear to be linear?
3. The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.
4. Interpret the slope of the line of best fit in the context of this problem.
5. Note that the points in the scatterplot do not all lie on the line. What could explain this variability?
6. Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?
7. There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?
In the above scenario, for question 1 and 2, we can say that relationship does depict or appear to be fairly strong and also linear as the points on the graph doesn't move far from a line.
What is the relationship about?Other answers are:
The answer to question 3 scatterplot graph is given in the image attached.The Interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.
The variability can be shown or explained by the differences that is seen in what the parties in the graph has ordered to eat or drink.
Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50 is known to be less than the predicted amount.
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PLSS HELP ASAPPP PLS What would be the sinuosity of this river:
Sinuosity = 28 cm curved length and a 20 cm straight length.
Answer:
= CL : SL
= 28 cm : 20 cm
= 1,4 cm
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]
Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?
Answer:
Shanice ran 42 miles.
Step-by-step explanation:
I have been looking and thinking about this question for 15 minutes pls help
Answer:
the game is fair because the probability of winning is equal to 50%
Step-by-step explanation:
what is the value of x
[tex]\text{In}~ \triangle ABC,\\\\~~~~~~~~\sin 45^{\circ} =\dfrac{BC}{AC} \\\\\implies \dfrac 1{\sqrt 2} = \dfrac{BC}{6\sqrt 2}\\\\\\ \implies BC= 6\\\\\text{Now, In}~ \triangle BCD\\\\~~~~~~\cos 60^{\circ} = \dfrac{BD}{BC}\\\\\ \implies \dfrac 12 = \dfrac{x}{6}\\\\\\\implies x = \dfrac 62\\\\\\\implies x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
using the sine ratio in right triangle ABC and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{6\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
BC = 6
using the cosine ratio in right triangle BCD and the exact value
cos60° = [tex]\frac{1}{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 6 ( divide both sides by 2 )
x = 3
One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
[tex]\implies 16^2+2^2=c^2[/tex]
[tex]\implies 256+4=c^2[/tex]
[tex]\implies c^2=260[/tex]
[tex]\implies c=\sqrt{260}[/tex]
[tex]\implies c=2\sqrt{65}[/tex]
[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]
16.1 is rounded to the nearest tenth
Louis needs to secure his tent.He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener,as shown
If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Louis needs to secure his tent.
He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener
We have to find the length of the rope by using pythagoras theorem
12²+9²=x²
144+81=x²
225=x²
Take square root on both sides
x=√225
x=15
The total length is 12+9+15=36 ft
Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
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If two data points are 10 and 20, what data point would make 30 the mean?
Answer:
60
Step-by-step explanation:
The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).
Let's set up an equation with the information we have.
30 = (10 + 20 + x) / 3
Now we can multiply both sides by 3 ==>
90 = 10 + 20 + x
Combine like terms ==>
90 = 30 + x
Subtract 30 from each side ==>
60 = x
And now you have your answer!
The value of x = 60 would make the mean of the data set 30.
What kind of variable is this: Rural, Semi-rural, Urban.
Answer: Qualititative, Nominal and Categorical
Explanation:
The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.
Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.
We can also consider it categorical since each label is a category.
find the measure of the arcs around circle.
(2h³j^-3 k⁴)/3jk
Just look at pic
[tex]how do u find the reciprical of 9/13[/tex]
Answer:
flip it around 9/13 reciprocal would be 13/9
Find the surface area of the figure.
8 ft
6 ft
6 ft
Answer:
4.5 step by step
Step-by-step explanation:
6 × 6 = 36 ÷ 8 = 4.5
The pathway of Sam's dive into
the swimming pool can be
represented by the equation
h = -16t2 + 15t + 12
(where t = time in seconds and
h = height in feet)
What is Sam's height
after 1 second?
M
The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
What is the equation of motion?
The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The pathway of Sam's dive into the swimming pool can be represented by the equation,
[tex]h = -16t^2 + 15t + 12[/tex]
(where t = time in seconds and h = height in feet)
The Sam's height after 1 second is,
[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]
Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
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If f(x)=2x+5 , determine the value of f(3x) .
Answer:
Step-by-step ef(x)=-2x+5……i
and f(-3x)=?
let x=-3x so that
-2x+5=-3x
x=5
substitutinx x into… i
f(x)=-10+5=-5
f(5)=-5………ii
now f(–3x)=f(-15)
scrutinizing… ii ,we can propose that
f(-15)=15.
Thus f(-3x)=15xplanation:
f times x would equal to fx=2x+5 and i think we move the x move to the other side which makes it f=3x+5 and then we plug this equal into f(3x) (i think) which makes it f(3x+f=3x+5)
please answer my question, this is the third time i've asked. (75 Points)
For A it is 6240 / 20% for B it is 6240 x 15%
Answer: A. .20x640=128
128+640=768
B. .15x640=96
640-96
Step-by-step explanation:
34. x-y=3 What is the slope?
Answer:
Step-by-step explanation:
Discussion
You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.
x - y = 3 Multiply the whole equation by -1
-1(x - y = 3) Remove the brackets. This gets y to be +
-x + y = - 3 Add x to both sides of the equation.
-x+x + y = -3 + x Combine the left. Notice the x's disappear on the left
y = - 3 + x
Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.
Answer
The slope of the line is 1.
If I earn $15/hour and work for 20 hours/week, how much would I earn in one
month?
A.)$1,200
B.)$3,500
C.)$3,000
D.)$2.000
Answer:
$1,200
Step-by-step explanation:
$15 x 20 = $300/week; $300 x 4 weeks = $1,200
Answer:
A.)$1,200 a month
Step-by-step explanation:
it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200
PLEASE HELP ME!!!!!!!
Answer:
2/3
Step-by-step explanation:
p(B/A)=[P(A&B)]/p(A)
2/3=[P(A&B)]/(1/2)
P(A&B)=2/3 *1/2=1/3
P(A&B)=P(A)*P(B)
1/3=1/2*P(B)
P(B)=1/3*2/1=2/3
Which statements about the location of the points are true? Select two options. Point D is in the first octant. Point B is located below the xy-plane. Point A is located in front of the yz-plane. Points B and D are in the same octant. Point C is behind the yz-plane.
Answer:
Statements B and E are true.
Step-by-step explanation:
B is true
E is true
Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square determine the area of both sides. what is the precent decrease in area P to area Q 40 points exra for correct answer
Answer:
Decrease of 43.75% in area
Step-by-step explanation:
Finding Side Length of Q :
⇒ Side Length P (100% - 25%)
⇒ 75 % x Side Length O
⇒ 0.75 x 12 cm
⇒ 9 cm
Area of Squares P and Q :
⇒ Area (Square P) = (12)²
⇒ Area (Square P) = 144 cm²
⇒ Area (Square Q) = (9)²
⇒ Area (Square Q) = 81 cm²
% Decrease :
⇒ New - Original / New
⇒ 81 - 144 / 144
⇒ -63/144
⇒ -21/48
⇒ -7/16
⇒ -0.4375
⇒ Decrease of 43.75% in area
Write a function to represent the number of patients she sees, , and the number of hours, , the hygienist works after lunch on Monday.
Answer:
y= between 9-10 patients, round down to 9
Step-by-step explanation:
y= 9/4x + 5
y = 9/4(2) + 5
y = 9.5
y= between 9-10 patients, round down to 9
help help help help please
Answer:
45.8 m^2
Step-by-step explanation:
area = π x 3.82^2
area ≈ 45.8
hope this helps
have a good day
Choose the graph that represents the equation y = –|x| – 1.
Answer:
The correct answer is graph A.
Sean scores a goal 60% of the time when he kicks the ball on goal. How many goals should he get during a game when he kicks on goal 10 times?
Which of the following graphs represents the equation y = 2x + 2?
B
D
(1,6)
O
.(9.1
(0,2)
(0, 2)
(x (-1, 0))
• A. Graph A
• B. Graph B
• C. Graph C
D. Graph D
Answer:
graph c
Step-by-step explanation:
it's coordinate (0,2) satisfy the equation
Jill planted five rows of watermelons in her garden with the same number in each row she planted a total 35 watermelons how many in each row
Answer:
7 watermelons were in each row.
PLEASE HELP PLEASE HELP PLEASE
Answer:
(5,5) Remember, the bottom line always goes first since it is the X axis, and the one going up and down goes second because it is the Y axis :D
Step-by-step explanation:
((PLEASE HURRY, THANKS IN ADVANCE)) To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.40 per hour. The math club wants to spend less than $78.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
t = time
42 + 8.8t < 112.40
8.8t < 70.4
pls mark as brainliest
Answer: t = 4
Step-by-step explanation:
(x) - (y) = (t)
78.00 - 41.00 = 37.00
7.40 x 5 = 37
t = 4
Any amount of time under 5 hours would work.
