Agree with Elena, because 9x - 2x + 4x is equivalent to 11x, after the subtraction only applies to 2x.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x.
And, Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.
Now,
Since, We know that;
⇒ 9x - 2x + 4x
⇒ 7x + 4x
⇒ 11x
Thus, Elena is correct as;
⇒ Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.
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Probability With a Pair of Dice Find the probability of rolling multiples of 2 on both dice.
Answer:
1/2
Step-by-step explanation:
There are 6 sides on the dice. 3 of them are multiples of 2. 3/6=1/2.
Which of the following equations describes the graph?
y = -x2 - 2x + 1
y = x2 + 2x + 1
y = x2 – 2x + 1
y = x2 – X-1
Answer:
Which cone has a volume of 24 7 cm?
-
1
-
-
3.5 cm!
4.5 cm
1
6.5 cm
B = 25.4 cm
1
7/5 cmi
1
8 cm
3 cm
B = 42
Step-by-step explanation:
Evaluate the expression 6log6 1.5
Answer:
10.7332506947
Step-by-step explanation:
hope it helps !!
If I am wrong please let me know
In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°
Answer:
B
Step-by-step explanation:
Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:
10x + 8 = 14x - 8
-4x + 8 = -8
-4x = -16
x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.
The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?
Answer:
17
Step-by-step explanation:
Use the Pythogream theorm where c is the hypotenuse.
Answer:
17
Step-by-step explanation:
Using the Pythagory and Theroem
Consider the diagram.
Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.
The congruence theorem that can be used to prove △MNP ≅ △ABC is
SSS.
ASA.
SAS.
AAS.
Answer:
The answer is SAS. ( Option C )
Step-by-step explanation:
S A S congruence theorem is used to prove △MNP ≅ △ABC.
Given △MNP and △ABC are connect between points B and M.
In △MNP and △ABC
Side PN = Side BC (given)
angle PNM = angle ABC (given)
Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)
So, by Side Angle Side Congruence rule △MNP ≅ △ABC.
Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.
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WILL GIVE BRAINLIST AND THANKS AND 5 STARTS IF CORRECT WHAT IS X QUESTION IS ON SCREENSHOT
Answer:
1/4
Step-by-step explanation:
x + 1/2 = 3/4
Subtract 1/2 from both sides.
x = 1/4
a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-5t^2 what’s the greatest height the rocket reached? after how many seconds does the rocket reach its height? how far above the cliff edge is the rocket after 5 seconds? when is the rocket 40 meters above the cliff edge? where is the rocket after 7 seconds?
Answer:
Greatest height: 45 meters
Time for greatest height: 3 seconds
Height after 5 seconds: 25 meters above the cliff
Time for height of 40 meters: 7.123 seconds
Height after 7 seconds: -35 meters (35 meters below the cliff)
Step-by-step explanation:
to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:
dy/dt = 30 - 10t = 0
10t = 30
t = 3 seconds
In this time, the height is:
y = 30*3 - 5*3^2 = 45 meters
After 5 seconds, the height is:
y = 30*5 - 5*5^2 = 25 meters
The time for the height of 40 meters is:
40 = 30t - 5t^2
t^2 - 6t - 8 = 0
Using Bhaskara's formula, we have:
Delta = 6^2 + 4*8 = 68
sqrt(Delta) = 8.246
t1 = (6 + 8.246) / 2 = 7.123 seconds
t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)
So the time when the rocket reaches 40 meters is 7.123 seconds
After 7 seconds, the height is:
y = 30*7 - 5*7^2 = -35 meters
The rocket will be 35 meters below the cliff.
Please hurry
What is the slope of a line that is perpendicular to the graph of
y = 5/3x +8
Answer:
-3/5
Step-by-step explanation:
The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.
1/(5/3) * - 1 = -3/5
The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Given a line,
y = 5/3 x + 8
Comparing with the slope intercept form,
Slope of the given line = 5/3
Any line perpendicular to the given line has a slope which is the negative reciprocal.
Slope of the perpendicular line = -3/5
Hence the required slope is -3/5.
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Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + y = 10
y= x-5
O A. (9,-8)
O B. (7,2)
O C. (8,-6)
D. (5,0)
Step-by-step explanation:
Putting value of y
2x + x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x = 15/3 = 5
Putting value of x
Y = x - 5
Y = 5 - 5
Y = 0
Option D is the correct answer
answer pls!! thank u
Answer: See below
Step-by-step explanation:
A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.
A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.
An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.
The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below.
(10,390)
(8.350)
Distance Traveled (miles)
(6.230)
(4.180)
(2,110)
(1.40)
Elapsed Time (hours)
During which interval was their average speed the greatest?
A. the first hour to the second hour
B. the second hour to the fourth hour
C. the sixth hour to the eighth hour
ОО
D. the eighth hour to the tenth hour
I’m not sure if it’s C could someone help
Answer:
swer:
Step-by-step explanation:
Here is the breakdown of the distance traveled each hour.
Hour 1: 40
Hour 2: 50
Hour 4: 70
Hour 6: 50
Hour 8: 120
Hour 10: 40
Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).
Hope this helps!
Step-by-step explanation:
Help Me Plz A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, seven vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 7,168 7,161 3,584 3,577
Answer:
7161
Step-by-step explanation:
Now we need to find the sum for a series
The formula is
Sn = (first term)*(1 - r^n)/(1-r) where n is the number of days and r is the rate
= 7( 1 -2^10)/ (1-2)
= 7( -1023)/-1
= 7161
Answer:
7161
Step-by-step explanation:
I took the test :)
help plzzzzzzzzzzzz
Answer:
a,b,d
Step-by-step explanation:
Find the volume of the prism. Round to the nearest tenth if necessary
Answer:
V = 204.7 cm³
Step-by-step explanation:
Pythagoras
h = √(6² - 3.5²)
= √(36 - 12.25)
= √23.75
= 4.87
≅ 4.9
A = Ab×H
= b×h/2 × H
= 7cm×4.9cm/2×12cm
= 204.7 cm³
Which of the following events will have an UNLIKELY chance of occurring?
A)rolling a 7 on a standard number cube labeled 1 - 6)
B)rolling a number less than 3 on a standard number cube labeled 1 - 6)
C)picking a vowel from the word ANTEATER)
D)picking a blue marble from a bag consisting of 8 blue, 2 red, and 1 white)
E)rolling an even or odd number on a standard number cube labeled 1 - 6)
Answer:
A
Step-by-step explanation:
Since there is no 7 on a standard number cube 1-6, there is no chance that the event can occur. Thus, A the correct answer.
Which function is the verse of f(x)=2x+3?
Answer:
Option B is correct
Step-by-step explanation:
A function has form of f(x) = 2x + 3, or y = 2x + 3
To find the inverse of f(x), we are going to represent x in form of y.
To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.
Now, let's do it.
y = 2x + 3
We firstly send 3 to the right, change the sign of 3 from + to -, we have:
y - 3 = 2x
We then rearrange both sides to get a standard form:
2x = y - 3
We now divide both sides by 2 to get the expression of x:
(2/2)x = (y - 3)/2
We simplify both sides of expression to obtain final result:
x = (1/2)y - 3/2
=> Inverse of f(x) is x = (1/2)y - 3/2
=> Option B is correct
Could you please help me with this I will give brainliast!!!!!! please I'll do anything!!!!!
Jeff read 3/8 (three-eighths) of a chapter of his history book in 20 minutes. At this rate, how many chapters of his history book can he read in 1.5 hours? Explain how he got 27/16?
Answer:
27/16 chapters completed in 1.5 hours
Step-by-step explanation:
Jeff read 3/8 part in minutes = 20
He read complete chapter in minutes =[tex]\frac{20}{\frac{3}{8}}=\frac{20}{3} \times 8 = \frac{160}{3} minutes[/tex]
60 minutes = 1 hour
[tex]\frac{160}{3} minutes = \frac{160}{3} \times \frac{1}{60}=\frac{8}{9} hours[/tex]
So, No. of chapters completed in[tex]\frac{8}{9}[/tex] hours = 1
No. of chapters completed in 1.5 hours = [tex]\frac{1}{\frac{8}{9}} \times 1.5=\frac{27}{16}[/tex]
So, 27/16 chapters completed in 1.5 hours
Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1). How many units is the perimeter of parallelogram EFGH?
Answer:
the answer wold be 10.129
Step-by-step explanation:
Perimeter of the parallelogram EFGH is 11.76 units
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Given,
The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)
We know that,
In parallelogram EF=HG and EH=FG
Perimeter of the Parallelogram = 2(a + b)
Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]
a =1.41 units
Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]
b =4.47 units
Perimeter of the Parallelogram = 2(a + b)
=2(1.41+4.47)
=11.76 units
Hence, the Perimeter of the Parallelogram EFGH is 11.76 units
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Which type of reasoning allows you to use observation to find the next three values in the number pattern 1,4,7,10.....?
Answer:
The next number in the pattern is 13.
Step-by-step explanation:
From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13
help me out please once again
Answer:
C
Step-by-step explanation:
Use the pythagorean theorom
a^2 + b^2 = C^2
convert so it goes to the problem
c^2 - a^2 =b^2
10^2 - 5^ = 100 - 25 = 75
srt. 75 = 5 sqrt.3
Answer:
The hypotenuse = leg 1 + leg 2
Hypotenuse = 10
Leg 1 = 5
Leg 2 = ?
10^2 - 5^2 = x
100 - 25 = 75
Answer = sqrt of 75
Answer = C5 sqrt. 3Classify the following triangle. Check all that apply
Answer:
F. right angle is correct
Answer: The correct choices are D and F.
Step-by-step explanation:
There are two classifications of triangles shown.
Any triangle can only be two.
The first classification depends on the triangles' angles:
Acute triangles are triangles with three angles under 90 degrees.Right triangles are triangles with a right angle. Obtuse triangles are triangles with an obtuse angle.The second classification depends on the triangles' sides:
Equilateral triangles are triangles with three equal side lengths.Isosceles triangles are triangles with two equal side lengths. Scalene triangles are triangles with no equal side lengths.The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.
The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.
The correct choices are D and F.
A charter bus service charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel?
Answer:
1875-(175*3)=1350
1350/(2.5*3)=180
The Band Travelled 180 Miles
Step-by-step explanation:
Take the flat fee and multiply for the 3 buses.
Then (based on the info given) take the cost of the miles per hour and multiply by 3
Take that number and divide 1350 by the cost per miles to determine the miles the band traveled
i only need number 4 and number 8
Answer:
4. (2√10 +2√17) units
8. 25/2 square units
Step-by-step explanation:
4. The length of JK is given by the distance formula ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10
The length of KL is given by the same formula:
d = √(4^2 +1^2) = √17
The perimeter is twice the sum of these lengths:
P = 2(JK +KL)
P = 2√10 +2√17
__
8. The area can be computed from coordinates* using the formula ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|
A = 25/2 = 12.5 . . . . square units
_____
* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.
The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...
area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2
__
If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.
GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Pls answer ASAP .
Answer:
1/20!
Step-by-step explanation:
This is a probability question.
There are 5 types of pasta and there are 4 types of flavors.
So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4
To get both, you need to multiply the types of pasta and flavor
1/20
Apply the 30-60-90 triangle theorem to find the length of the shorter leg , a, and the longer leg, b, if the length of the hypotenuse, c, is 14 inches.
A= b=
7
12
10
11
8
9
Answer:
A=7 B=12
Step-by-step explanation:
someone plz help!!! calculus, I have a picture below
Answer:
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
Step-by-step explanation:
The following expression:
[tex] 3y^{-3/5} [/tex]
can be simplified as follows:
First, rewrite the negative exponent,
[tex] 3\frac{1}{y^{3/5}} [/tex]
[tex] \frac{3}{y^{3/5}} [/tex]
And then, rewrite the fraction in the exponent,
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16
Answer:
Axis of symmetry line is parallel to y- axis
Equation of the parabola ( x - ( -2 ))² = (y - 12 )
Step-by-step explanation:
Explanation:-
Given equation is y = x²+4 x+16
y = x²+2 (2 ) x + (2)² - (2)² + 16
y = ( x + 2 )² + 12
( x + 2 )² = y - 12
( x - ( -2 ))² = (y - 12 )
( x- h)² = 4 a ( y - k)
Center (h ,k) = ( -2 , 12)
Here 4 a = 1
a = 1/4
Focus S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)
Axis of symmetry line is parallel to y- axis
Please Answer!!! Will give 30 points!!! And brainliest when I can
The value of X is 3
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
B. 3
Step-by-step explanation:
→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:
[tex]\frac{2x-3}{-x+4} =3[/tex]
2x - 3 = 3(-x + 4)
→Distribute the 3 to (-x + 4):
2x - 3 = -3x + 12
→Add 3x to both sides:
5x - 3 = 12
→Add 3 to both sides:
5x = 15
→Divide both sides by 5:
x = 3
I don’t understand
I'm stupid, I don't understand mathematics :(
