Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 4?
A. 3
B. 1
C. 2
D 0
Answer:
Step-by-step explanation:
2
Put 2 (n^2 + 8n + 16) in standard form
Answer: 2n^2 + 16n + 32
Step-by-step explanation:
Distribute 2 to all the terms inside parentheses.
2 (n^2 + 8n + 16)
2n^2 + 16n + 32
Hope this helped!
Can someone please help me ASAP??
Find the measure of the arc,
mEDF = 124°
Steps
360 = 146 + 90 + x
360 = 236 + x
-236 -236
124 = x
Answer:
m(EDF) = 214°
Step-by-step explanation:
GIVEN :-
Measure of minor arc FE = 146°Measure of minor arc DE = 90°TO FIND :-
Measure of major arc FE (also known as arc FDE)FACTS TO KNOW BEFORE SOLVING :-
Sum of all angles in a circle is 360°.SOLUTION :-
According to the figure given in question ; in the orange circle ,
m(minor FE) + m(minor DE) + m(minor FD) = 360°
⇒ 146° + 90° + m(minor FD) = 360°
⇒ m(minor FD) = 360° - 236° = 124°
∴ m(major FE) [or] m(EDF) = m(minor DE) + m(minor FD) = 90° + 124° = 214°
A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)
Answer:
The total amount of pollution discharged during the first 7 years of operation is 1.955 tons
Step-by-step explanation:
Given
[tex]r(t) = \frac{t}{t^2 + 1}[/tex]
Required
The total amount in the first 7 years
This implies that:
[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]
The total amount is calculated by integrating r(t) i.e.
[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]
So:
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
--------------------------------------------------------------
We have:
[tex]t^2 + 1[/tex]
Differentiate
[tex]d(t^2 + 1) = 2t[/tex]
Rewrite as:
[tex]2t = d(t^2 + 1)[/tex]
Solve for t
[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]
---------------------------------------------------------------------------
So:
Make t the subject
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
Integrate
[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]
Expand
[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]
[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]
[tex]v = \frac{1}{2}[3.91 - 0][/tex]
[tex]v = \frac{1}{2}[3.91][/tex]
[tex]v = 1.955[/tex]
Determine the value of angle V in the picture below.
Answer:
<V = 40
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
20x = 60+7x+5
Combine like terms
20x = 7x+65
Subtract 7x from each side
20x -7x = 7x+65-7x
13x = 65
Divide each side by 13
13x/13 = 65/13
x = 5
<v = 7x+5 = 7*5+5 = 35+5 = 40
PLA ANSWER RN
What is the value
of x?
A. 5
B. 8
C. 11
D. 12
Answer:
a
Step-by-satep explanation:
just took it
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
The IQs of all students at a certain prep school were obtained. The highest was 135, and the lowest was 105. The following IQs were identified as to their percentile: x Percentile 107 10th 114 25th 118 50th 122 75th 129 90th a. What is the range for the distribution
Answer: The range for the distribution = 30
Step-by-step explanation:
The range of the distribution is computed as :
Range = Highest data value - Lowest data value
Given, the IQs of all students at a certain prep school were obtained. The highest was 135, and the lowest was 105.
Thus, Range = 135-105 (difference between highest and lowest value)
Range = 30
Therefore, the range for the distribution = 30
f(x)=x^2-5 and g(x)=3x+1 then f(g(2))
Answer:
f(g(2)) = 44
Step-by-step explanation:
g(2) = 3(2) + 1 = 7
Plug 7 into f(x) since g(2) = 7
f(7) = 7² - 5 = 44
f(g(2)) = 44
What is the proportion for this problem?
It is already solved, just need the proportion.
Will mark brainliest to the correct answer!
Answer:
1/2
Step-by-step explanation:
Given the equation
6/12 = x/8
We are to find the proportion
Cross multiply
12 * x = 8 * 6
12x = 48
x = 48/12
x = 4
Hencethe value of x is 4
Substitute into the expression to get the proportion
6/12 = 4/8
In its lowest term;
6/12 = 4/8 = 1/2
Hence the required proportion is 1/2
Extremely STUCK on this one help!
A cylinder has a height of 7 inches and a radius of 14 inches. What is its volume? Use a
3.14 and round your answer to the nearest hundredth.
Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
The opposite of -1.5 is
[Drop Down 1]
Select one
-1.
0.5
1.5
Pls hurry
Answer:
Solution given:
The opposite of -1.5 is 1.5
note:
Just multiply by - or change its sigh .
The formula distance =rate x time (d = ) tells how far an object travels at a certain rate (speed) over a certain time
How long will it take a train to travel 765 miles at 85 tniles per hour?
Answer:
42.05 HRS
Step-by-step explanation:
D = R x T ..... D=765 MILES R= 95 MILES/HR WE HAVE TO SOLVE FOR T BECAUSE THE QUESTIONS ASKS "HOW LONG.." T = D/R AND THEN SUBSTITUTE THE DISTANCE AND RATE ;)
I need the answer n 30 minutes, please!
For which values of the parameter p equation
x ^ 2-px + 3 = 0
has a root in the range [0; 1], and another that does not belong to this range?
Answer:
p = 4
Step-by-step explanation:
Given the expression x ^ 2-px + 3 = 0
If x = 0 is a solution
Substitute into the expression
0² - 0p + 3 = 0
-0p = -3
p = 3/0
p cannot be determined for this root
If x = 1
1² - 1p + 3 =0
1 - p + 3 = 0
-p+4 = 0
-p = -4
p = 4
Hence the va;ue of p is 4
Please someone help me with my math work?
Answer:
20 plus 20 is equla to 5000
Use the line of best fit to predict the total amount of money earned in tips after working 12 hours. (8,80)(2,20)
Answer:
The line of best fit will look like this (see attatchement):
The total amount of money earned in tips after working 12 hours is $120.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given coordinate points are (8, 80) and (2, 20).
Here, slope (m) = (20-80)/(2-8)
= 10
Substitute m=10 and (x, y)=(8, 80) in y=mx+c, we get
80=10×8+c
c=0
So, the equation of a line is y=10x
Here, x=12
Then, y=120
Therefore, the total amount of money earned in tips after working 12 hours is $120.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ7
If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
Graph y = -2 – 6.
could someone graph this on a khan academy number line?
Answer:
plot ur x,y coordinates as (0,-8) (1,-8)
For the rotation -982º, find the coterminal angle from 0°
quadrant and the reference angle.
9514 1404 393
Answer:
coterminal angle: 98°
reference angle: 82°
Step-by-step explanation:
Adding 360° × 3 = 1080° brings the angle into the range 0-360°.
The coterminal angle is -982 +1080° = 98°
This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.
extend pattern 1,4,9
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100......
Step-by-step explanation:
This is a list of perfect squares.
1 is the square of 1. ( 1 x 1 = 2)
4 is the square of 2. (2 x 2 = 4)
9 is the square of 3. (3 x 3 = 9)
So, the next number would be the square of 4 which is 16 ( 4 x 4)
And so on.
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
QUICKK!! GIVING BRAINLIEST TO CORRECT ANSWER
Step-by-step explanation:
Insufficient information!
however, volume will remain same in both of these figures!
Can someone please help, ty!
Will mark brainliest!
Answer:
The first and third set
Step-by-step explanation:
Because no two inputs can have different outputs
An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO. An individual can be either susceptible (S) or infected (I), the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. Calculate the probability of a person going through the following string of states: SISI.
Answer:
a) P (COO) = 0,135
b) P ( SISI) = 0,00015
Step-by-step explanation:
a) the probability of an ion channel in open position is 50 % 0,5
the probability of an ion channel in close position is 50 % 0,5
probability for the following sequence of states COO
to be closed 0,5 (C)
from (C) to pass to open 0,3 (O)
and to stay O is 0,9
Then the probability of the sequence of states COO is
P (COO) = 0,5 * 0,3 * 0,9
P (COO) = 0,135
b) If people are either infected or susceptible, then
Probability of an individual infected is 0,5
Probability of an individual susceptible is 0,5
to pass from susceptible to infected is 0,05
to pass from infected to susceptible is 0,12
then
P ( SISI) = 0,5 * 0,05*0,12*0,05
P ( SISI) = 0,00015
probability for the following sequence of states COO
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
Answer help please!
I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.
Let's work on triangle 1 first.
We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.
180 - 115 = 65
Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.
80 + 65 + <1 = 180
145 + <1 = 180
<1 = 35 degrees
Now let's go ahead and move on to triangle 2.
We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.
180 - 115 = 65
Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.
85 + 65 + <2 = 180
150 + <2 = 180
<2 = 30 degrees
Hope this helps!! :)
Please need help ASAP!!
Answer:
2x+30 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+30 = 90
Answer:
2x+30 = 90° is the required equation.
Step-by-step explanation:
We see that, the angle formed in the image is 90°, so by adding in the angles inside it, we get 90
hope it helps :)
find 7% of 5000 students
Find 7% of 5000 students ?
Answer :
[tex]5000 \times \frac{7}{100} = 350[/tex]
So, 7% of 5000 students is 350 students.