Use the graph or table to find the equation that represents the relationship.
to get the equation of any straight line we only need two points off of it.
1st one
well, we have four points on the table, let's use a couple from it hmmm say (10 , -25) and (13 , -34)
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{-25})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-34}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-34}-\stackrel{y1}{(-25)}}}{\underset{run} {\underset{x_2}{13}-\underset{x_1}{10}}}\implies \cfrac{-34+25}{3}\implies \cfrac{-9}{3}\implies -3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-25)}=\stackrel{m}{-3}(x-\stackrel{x_1}{10}) \\\\\\ y+25=-3x+30\implies y=-3x+5[/tex]
4th one
well, from the picture itself we already have a couple of points we can use hmmm (0 , -4) and (5 , 0)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}}\implies \cfrac{0+4}{5}\implies \cfrac{4}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{\cfrac{4}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+4=\cfrac{4}{5}x\implies y=\cfrac{4}{5}x-4[/tex]
Step-by-step explanation:
(5,-10)(10,-25) is
y=-3x+5
(-7,-11)(7,3) is
y= x -4
(0.5,0)(0,-1) is
y = 2x-1
Construct an exponential equation for the data presented in the table.
A) y = 1 * (x)^2
B) y = 2 * (x)^1
C) y = 1 * (2)^x
D) y = 2 * (1)^x
Answer:
C
Step-by-step explanation:
find the value of X. then find the measure of angles B and C
Answer:
x = 20, m∠B = 92°, m∠C = 40°Step-by-step explanation:
Sum of the angles of any triangle is 180°:
m∠A + m∠B + m∠C = 180°Substitute the given values and solve for x:
48 + 6x - 28 + 2x = 1808x + 20 = 1808x = 160x = 20Find the missing angles:
m∠B = 6*20 - 28 = 120 - 28 = 92°m∠C = 2*20 = 40°[Sum of the angles of any triangle is 180°]
↦m∠A + m∠B + m∠C = 180°
The given values and solve for x :
[tex]↦48 + 6x - 28 + 2x = 180°[/tex]
[tex]↦8x + 20 = 180°[/tex]
[tex]↦8x = 160°[/tex]
[tex]↦x = 20°[/tex]
Lets , Find the missing angles:
[tex]↦ m∠B = 6×20 -28 = 120-28 = 92°[/tex]
[tex]↦ m∠C = 2×20 = 40°[/tex]
Answer :- [tex]\small\bold\red{x = 20°, m∠B = 92°, m∠C = 40°}[/tex]
i will mark brainliest
Can you someone please help me with these 2 question
ASSP
1) The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude M is given by the model
M=0.67 log (0.37E)+1.46
where E is the energy in kilowatt hours released by the earthquake. Suppose an earthquake releases 10,500,000,000 kilowatt hours of energy. What is the earthquake’s magnitude to the nearest tenth?
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude M is given by the model
M=0.67 log (0.37E)+1.46
where E is the energy in kilowatt hours released by the earthquake. Suppose an earthquake releases 10,500,000,000 kilowatt hours of energy. What is the earthquake’s magnitude to the nearest tenth?
7.88
7.24
6.02
5.34
2) The Richter magnitude M is given by the model LaTeX: M=\log\left(\frac{I}{I_0}\right)\:\:where LaTeX: I is the intensity of the earthquake in 100 km from the epicenter and LaTeX: I_0 is the smallest seismic activity that can be measured or LaTeX: M=\log\left(Intensity\right)\:\:. A recent earthquake measured 6.2 on the Richter scale. How many times more intense was this earthquake than an earthquake that measured 5.3 on the Richter scale?
7.9 times more intense
0.9 times more intense
1.5 times more intense
6.3 times more intense
The intensity of the earthquake is an illustration of functions
The earthquake's magnitude is 7.88The earthquake is 0.9 times more than the earthquake that measured 5.3How to determine the magnitudeThe function is given as:
[tex]M=0.67 \log(0.37E)+1.46[/tex]
When the earthquake releases 10,500,000,000, we have:
[tex]M=0.67 \log(0.37*10500000000)+1.46[/tex]
Evaluate
[tex]M=7.8848919855[/tex]
Approximate
[tex]M=7.88[/tex]
Hence, the earthquake's magnitude is 7.88
Also, we have:
Earthquake 1 = 6.2
Earthquake 2 = 5.3
Calculate the difference (d)
[tex]d = 6.2-5.3[/tex]
[tex]d = 0.9[/tex]
Hence, the earthquake is 0.9 times more than the earthquake that measured 5.3
Read more about functions at:
https://brainly.com/question/1513353
how does the surface area of a triangular prism change if the lengths are halved
Answer:
It would cut the number in half.
Step-by-step explanation:
For example if the surface area of a triangular prism was 6 before it would be 3 now.
2) The population of a small country grows according to the function P(t) = 1,300,000e0.05t, where t is measured in years. In how many years will the population grow to 2,500,000? Show answer in terms of In and as a decimal rounded to nearest tenth.
Answer in terms of Ln: [tex]20*\text{Ln}\left(\frac{25}{13}\right)\\\\[/tex]
Answer in decimal form: 13.1
=======================================================
Work Shown:
[tex]P(t) = 1,300,000e^{0.05t}\\\\2,500,000 = 1,300,000e^{0.05t}\\\\e^{0.05t} = \frac{2,500,000}{1,300,000}\\\\e^{0.05t} = \frac{25}{13}\\\\0.05t = \text{Ln}\left(\frac{25}{13}\right)\\\\t = 20*\text{Ln}\left(\frac{25}{13}\right)\\\\t \approx 13.0785293481332\\\\t \approx 13.1\\\\[/tex]
Solve the following system of equations graphically on the set of axes below.
y = x - 5
y = -2x – 2
Answer:
this will answer how to graph the equations
Step-by-step explanation:
In a large population of college students 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the probability that exactly 2 students have experienced math anxiety is: ___________
a .3020
b .2634
c .2013
d .5 e 1
Answer:
In a large population of college students 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the probability that exactly 2 students have experienced math anxiety is:
Step-by-step explanation:
a .3020
b .2634
c .2013
d .5 e 1 the answers is A
Help me pleaseee !!!!
Answer:
22) a. Supplemental angles
b. 43.5 degrees and 136.5 degrees
Step-by-step explanation:
22) a) If 2 angles are on a straight line then they are supplemental angles. Supplemental angles add up to 180 degrees
b) (x+1) + (3x+9) = 180
Combine like terms
4x + 10 = 180
4x = 170
divide both sides by 4
x = 42.5
so the 2 angles are 1) 42.5 + 1 = 43.5 and 2) 3(42.5) + 9= 136.5
35 is 70 percent of what number? Explain how you got it. Please check out my other questions on my profile and help me with those as well!
Answer:
50
Step-by-step explanation:
35/n x 100 = 70%
÷100 both sides
35/n = 0.70
x n both sides
35 = 0.70n
÷0.70 both sides
50 = n
Thus, the number you're after is 50
(n is a variable - representing an unknown number or value)
Check:
35/50 x 100 = 70%
Hope this helps!
What is 25% of $160? Show all of your work. Use the percent proportion model shown below to set up the equation before you calculate the answer.
[tex][Hello,BrainlyUser][/tex]
Answer:
x = 40
Step-by-step explanation:
[tex]\frac{x}{160}=\frac{25}{100}[/tex]
[tex]160*25=4000[/tex]
[tex]100*x=100x[/tex]
[tex]\frac{4000}{100}=\frac{100x}{100}[/tex]
[tex]x = 40[/tex]
[tex][CloudyBreeze][/tex] ☁
factor
48x^2 - 16x + 40 / 8
Answer: 48x^2 - 16x + 5
Step-by-step explanation:
Micheal earns $87 for 15 hours of part time work. How long must he work to earn $135
Answer:
23.28 hours
Step-by-step explanation:
He earns 5.8 per hour of part-time work. You can find this by doing 87/15
Because we now know that he earns 5.8 per hour we can just do 135/5.8 (23.28) < this is rounding to the nearest hundreth
Complete the table of ratios.
17. Mr. Morgan drives 130 miles every
2 hours.
18. A
01
Answer: I can answer 17 for you.
65/1, 130/2, 195/3
Step-by-step explanation:
so if it is 130 miles in 2 hours, you divide 130 by 2, which gives you 65
then you multiply 65 by 2, 3, 4, etc., until your table is complete
PLSSS ANSWER!!!
tnk u!!!
Answer:
1.true
2.false
3.true
4.true
5.true
6.fales
7.true
8.true
9.false
10.false
Step-by-step explanation:
sana makatulog
URGENT! Please help what is the median thank you math experts
Answer: The middle number in a data set when the data are put in order.
Answer and Step-by-step explanation:
To find the median of a set of numbers, you need to find what the number in the center is in a listed group of numbers. I'll use the example of these numbers:
6, 9, 5, 4, 3, 4, 2.5, 8, 0, 1, 5.
First, we need to organize the numbers in numerical order to find the median.
0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.
It would be the most simple and helpful to cross out each number until we get our center number; the median. (I can't cross the numbers out, so I'll underline them instead.) When crossing out, both sides need to be full of equally crossed out numbers.
0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.
The number in the center for this example problem is 4. Thus meaning that our median is 4.
Sometimes though, it is not always a whole number. Sometimes you'll have to find the median in between two numbers. For example, let's just say you got stuck between 4 and 5. Then the median for that set of data would be 4.5, because it is still in the middle of the two.
I hope that this helps, let me know if you have any more questions about this topic.
Simplify the expression:
1b+2c=3d
Answer:
b=3d-2c
Step-by-step explanation:
Multiply b by 1.
Multiply b by 1.b+2c=3d
Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.
Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.b=3d−2c
Answer:
b=3d-2c
Step-by-step explanation:
Multiply b by 1.
Multiply b by 1.b+2c=3d
Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.
Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.b=3d−2c
Divide (x3 - 2x² + 6x - 8) by (x - 2)
-
How can I (x3 - 2x² + 6x - 8) by (x - 2)
Answer:
x^2 +6 +(4/(x -2))
Step-by-step explanation:
Polynomial long division works for this. The operations are performed in much the same way as for numerical long division.
What is 136 divided by 19 as a decimal
Answer:
7.157894736842105263
Step-by-step explanation:
(calculator)
please answer correctly. Thank you
Answer:
wag po lagi umasa sa brainly
A student performed row operations on a matrix as shown below.
4
1
2
4
-4
2
0
-1
3
1
-1
3
1
3
2
4
5
3
0
107
Which operations did the student perform?
2R2+R3 R3
O 2R3+-R3 > R3
רית
The matrix shown represents its elements in rows and columns
The operation performed by the student is R3 -> 2R2 + R3.
How to determine the matrix operation?The matrix is given as:
[tex]\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&2&4&5\end{array}\right][/tex]
Multiply the elements on the second row (Row 2) by 2.
So, we have:
2R2 = 0 -2 6 2
Add these elements to the third row (Row 3).
So, we have:
2R2 + R3 = 3 0 10 7
Replace the row 3 by the above elements.
i.e.
R3 -> 2R2 + R3.
So, we have:
[tex]\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&0&10&7\end{array}\right][/tex]
Hence, the operation performed by the student is R3 -> 2R2 + R3.
Read more about matrix at:
https://brainly.com/question/1821869
The activity preference of teachers and librarians is given in the table.
Teachers Librarians
Movies 3
12
Books 4
9
Plays 2
15
Based on the information in the table, which of the following is an example of independent events.
O P(librarian and chooses book)
OP(librarian and chooses movie)
OP(teacher and chooses play)
O Pteacher and chooses book)
P(teacher and chooses play) is an example of independent events.
What is Independent events?
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B.
According to questions, the activity preference of teachers and librarians
are:
For Teachers:
Movies 3
Books 4
Plays 2
For Librarians:
Movies 12
Books 9
Plays 15
Since, Teacher and Plays both are independent events, they are not related to each other.
So, we can conclude that P(teacher and chooses play) is an example of independent events.
Learn more about independent events here:
https://brainly.com/question/1393117?referrer=searchResults
#SPJ2
Answer: P(librarian and chooses movie)
Step-by-step explanation: got it right on the test :)
During the week, the daily low temperatures were 52°F, 45°F, 51°F, 45°F, and 48°F. If Saturday’s low temperature of 51°F is added, which statement about the data set would be true?
A. The mean would decrease.
B. The median would decrease.
C. The mode would increase.
D. The mode would decrease.
Answer:
C
Step-by-step explanation:
The mode is how many numbers are the same and if you add another 51 degrees, it would increase.
Cómo se escribe cinco millones novecientos veinticinco en número alguien me ayuda plis
Answer:
5,000,925
Step-by-step explanation:
1 million has 6 zeros after it.
Thomas goes to summer camp every year if his parents drive 155 miles to Camp to drop him off and then go back to pick him up in two weeks, How many miles will they have traveled?
Answer:
620 miles
Step-by-step explanation:
knowing that if his parents drive 155 miles to camp and then go back and then pick him up in two weeks.
Thus ,Times they drove back and forth is:
Drive to camp
Go back home
Pick him up
Drive back home
Hence, that a total of 4.
Since it 155 miles to camp then it the same going back home and pick him up and then drive back home
Therefore,
155 × 4 = 620
As a result, they would have to traveled 620 miles.
~lenvy~
ILL GIVE BRAINELST
Which graph represents the direct variation equation y=2 x?
Answer:
its the 2 one because i am smart
Which of the following exponential is equivalent to the logarithmic equation below?
logb x = a
A. X=a^b
B. X=ax^b
C. X=bx^a
D. X=b^a
Answer:
D
Step-by-step explanation:
[tex]log_{b} \ x = a \\\\\\x = b^{a}[/tex]
Find the mean, median, mode, and range for this set of numbers:
14, 12, 7, 13, 6, 8
Answer:
In explanation
Step-by-step explanation:
Your mean=10
Median=10
Your mode is all of these numbers because none of them was in here more than once.
Your range would be 8 because range is highest number subtract lowest number so 14 is highest and 6 is lowest whats 14-6=8
What’s the area and the circumference of a circle with diameter 8m?
Answer:
50.24
Step-by-step explanation:
8÷2 is the radius. 3.14×4^2=50.24 m^2
^= where the exponent is supposed to go
Find the area and the circumference of a circle with diameter 8 m .
Given : -Diameter of circle = 8 mTo Find : -Area of circleCircumference of circleFormula Used :1)
[tex] \pink{\boxed{ \sf{Area \: of \: circle = \pi r {}^{2} }}}[/tex]
2)
[tex] \pink{\boxed{\sf{Circumference of circle = 2\pi r}}}[/tex]
So Starting Our Solution :We know that radius of circle is always halves of its diameter . So radius of circle :
8/24 m1) Finding area :
πr²3.14 × 4 × 43.14 × 1650.24 m²Therefore, area of circle is 50.24 m² .
2) Finding circumference :
2πr2 × 3.14 × 46.28 × 425.12 mTherefore, circumference of circle is 25.02 m
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