Answer:
3y = -x + 17
Step-by-step explanation:
Equation of a line is in the form:
y = mx + c
where m is slope and c is intercept
Mathematically;
slope m = (y2-y1)/(x2-x1)
= (6-4)/(-1-5) = 2/-6 = -1/3
So the equation is now;
y = -x/3 + c
Multiply through by 3
3y = -x + 3c
To get c substitute the value of a point say (5,4)
x = 5 and y = 4
3(4) = -5 + 3c
12 = -5 + 3c
12+ 5 = 3c
3c = 17
c = 17/3
So the equation is
y = -x/3 + 17/3
and that is
3y = -x + 17
A number cube is rolled in an experiment, and the frequency of each different roll is recorded. Image_8308 What is the experimental probability of getting a 4 or a 6?.
Using it's concept, it is found that the experimental probability of getting a 4 or a 6 is of 0.2833 = 28.33%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
Researching the problem on the internet, it is found that the image gives that 13 + 11 + 9 + 8 + 10 + 9 = 60 trials, 8 + 9 = 17 resulted in a 4 or a 6, hence the probability is given by:
p = 17/60 = 0.2833.
More can be learned about probabilities at https://brainly.com/question/14398287
The ratio of art class to music class is 4:3. If there is 8 more students in art class, how many students are in music class
Answer:
9 students in music class.
Step-by-step explanation:
In art there are 4 and since there are 8 more 8 + 4 = 12. so there are 12 in Art.
4 x _ = 12. —> 4 x 3 = 12.
so we need to do the same for music class.
For music there are 3.
so we multiply by 3 like we did with the 4.
3 x 3 = _ —> 3 x 3 =9.
so there are 9 students in music class.
Bill wants to order new jerseys for his baseball team. He has found two different companies and needs to determine which one is the better deal for his team. PRINT IT sells jerseys for $21.0 each. TOP PRINT a onetime set up cost of $45.0 and jerseys for $18.0 each. A. Write a system of equations for this situation.
Answer:
[tex]Cost = 21.0j[/tex] --- PRINT IT
[tex]Cost = 45.0 +18.0j[/tex] --- TOP PRINT
Step-by-step explanation:
Given
Print IT & Top Print
Represent the number of jerseys with j.
For PRINT IT.
[tex]Cost=\$21.0[/tex] per jersey
For Top Print
[tex]Base\ Amount = \$45.0[/tex]
[tex]Cost = \$18.0[/tex] per jersey.
j jerseys with PRINT IT will cost: [tex]21.0 * j[/tex]
[tex]Cost = 21.0 * j[/tex]
[tex]Cost = 21.0j[/tex]
j jerseys with TOP PRINT will cost: [tex]45.0 +18.0 * j[/tex]
[tex]Cost = 45.0 +18.0j[/tex]
Geometry help!!!!!!!
Answer:
[tex]\huge\boxed{\text{The polygons are NOT similar}}[/tex]
Step-by-step explanation:
Because triangle DBC has an angle of measure 49°, and triangle IHJ does not, the polygons are not similar.
Hope it helps :) and let me know if you want me to elaborate.
Xavier bought 6 oranges from a
6
store. If he paid $1.74, how much did
each orange cost?
$[?]
Enter
Answer:
$0.29
Step-by-step explanation:
1.74 divided by 6
What is the correct answer I need help
Answer:
A
Step-by-step explanation:
do the exponents. (5 times 5)
then multiply 2 x 25
Answer:
the answer is A. 2 * 5^2
Step-by-step explanation:
Because 5^2 really means 5 * 5 which is 25 * 2 is 50
Hope this helps
Select the correct answer from each drop-down menu. To find the average grades scored by students in science and math, the principal of a school sends a questionnaire to the top five students in each grade of the high school. Is the sample used by the principal random? Will a generalization from this sample be valid? The sample used by the principal is. A generalization made from this sample is.
Answer:
a) This is not a random sample
b) The generalization from this sample would not be valid
Step-by-step explanation:
No the sample is not random. If the questionnaire would had been send to any five students in a class irrespective of whether they are among the top five, then the sample could be referred as random sample.
The marks of top five students in any grade would give an average value that will be an outlier to the average of marks of all students with in a grade.
Hence, the generalization from this sample would not be valid
colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan start with 80 of a different type of bacteria that doubles every 3 hours
Step-by-step explanation:
so, what is the question ?
all you are giving us here are some facts about what's going on. but what is the goal ? what do we need to find out ?
is it when the bacteria cultures have the same population ?
I assume that for my following answer :
"once every 2 hours" can be expressed by "x/2". with x being hours. so, instead of "x", which would mean "once every hour", we use "x/2".
"doubles (once) every 2 hours" is then
2×2×2×...×2 doubles on how many units of 2 hours we have.
this is
2^(x/2)
this is the factor we need to multiply with everything we want to behave that way (to double in size every 2 hours).
in our case here : 50 bacteria.
so, Colby's bacteria culture function is
c(x) = 50 × 2^(x/2)
similar for jaquan:
j(x) = 80 × 2^(x/3)
as his culture doubles every 3 hours.
now for the assumed question, when will both cultures have the same population ?
it is for that value of x that makes both function to deliver the same functional result.
50 × 2^(x/2) = 80 × 2^(x/3)
5 × 2^(x/2) = 8 × 2^(x/3)
now we use the log2 function on both sides and get
log2(5 × 2^(x/2)) = log2(8 × 2^(x/3))
remember the laws of logarithm. particularly
log(a×b) = log(a) + log(b)
and
loga(b) = logc(b)/logc(a)
log2(5) + log2(2^(x/2) = log2(8) + log2(2^(x/3)
log2(5) + x/2 = log2(8) + x/3 = 3 + x/3
3×log2(5) + 3x/2 = 9 + x
2×3×log2(5) + 3x = 2×9 + 2x
6×log2(5) + 3x = 18 + 2x
x = 18 - 6×log2(5) = 18 - 6×ln(5)/ln(2) = 4.068431431... hours
so, after a little bit more than 4 hours both bacteria cultures reach the exact same number of population : 204.8
which is, of course, only theoretical, as there cannot be "part bacteria" in the cultures.
now, we could calculate the x for when c(x) = 204, and the x for when c(x) = 205.
and then the same for j(x) and then see if or what overlap between these two x intervals there is.
during this overlap period both cultures will have the same (whole number) amount of bacteria.
but I think this is a topic for another question, as I am not even sure that I addressed the true original question.
HELP I WILL GIVE BRAINIEST I NEED HELP ASAP
Find the volume of the cylinder.
Find the volume of a cylinder with the same radius and double the height.
Answer:
923.63
Step-by-step explanation:
Answer:
v=3.14×r^2xh
v= 3.14 x 7^2x3
v = 461.58 in3
double the height
v=3.14 × 7^2 ×6
v= 923.6 in3
Express as a sum
1) a-5
2) m-n
Express as a difference
1) 7+3
2) a+5
Answer:
I think it would be
Sums
1) a + -5
2) m + -n
Differences
1) 7 - -3
2) a - -5
Step-by-step explanation:
PLS HELP!!
Use the diagram to justify ur answer.
a) is r//s?
b) is m//n?
Look at the the angles inside
90° is above 90° Their side-by-side angles are also 90° Their sum is 180° .Also corresponding angles are same i.e 90°Hence
r||sm||nYou purchase softballs for $5.50 each.the total amount you spent on softballs was $11.write and solve an equation to find the number of softballs purchased.
I need help because i hate math and dont understand any of htis
Answer:
x = 145 degrees
Step-by-step explanation:
In leftmost triangle, missing angle :
= 180 - (90 + 35)
= 55 degrees
Top angle of middle triangle :
= 180 - (60 + 55)
= 180 - 115
= 65 degrees
Bottom angle of middle triangle :
= 180 - (90 + 65)
= 25 degrees
Linear pair
= 180 - 25
=> x = 145 degrees
8 cupcakes cost $32. What is the unit cost per cupcake?
============================================================
Explanation:
The "per cupcake" means "for each cupcake" or "for 1 cupcake".
To get that initial "8 cupcakes" into "1 cupcake", we divide both given values by 8
8/8 = 132/8 = 4The ratio 8 cupcakes : $32 then becomes 1 cupcake : 4 dollars
In other words, the unit cost is 4 dollars per cupcake.
A cone is shown below
What is the approximate volume of the cone?
A.
126 in.3
B.
377 in.3
C.
565 in.3
D.
1,131 in.3
Answer:
C.565 in.3 yeah maybe
Twice a number, decreased by 58 is less than 112
Answer:
x<85
Step-by-step explanation:
first we change the sentence in formula as the following
2x‒58<112
then we can solve easly
2x<112+58
2x<170
2x/2<170/2
x<85
i think this is clear &easy to understand .i hope it helps you
What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is negative 2 to negative 1. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 02 0. 14 0. 34 0. 84.
The area under the shaded region from 1 to 2 is 0.14
What will be the shaded region area?Probabilities actually define the percentage of the happening of an event
Here the shaded region shows the probability of the z-scores
The shaded region 1 to 2 is represented as:
[tex]P(1 < z < 2)[/tex]
By using the probability of z-score we can have
[tex]P(1 < z < 2)=P(z < 2)-P(z < 1)[/tex]
From the given standard normal table:
[tex]P(z < 2)=0.9772[/tex]
[tex]P(z < 1)=0.8413[/tex]
So, we have:
[tex]P(1 < z < 2)=0.9772-0.8413[/tex]
[tex]P(1 < z < 2)=0.1359[/tex]
The approximated value will be
[tex]P(1 < z < 2)=0.14[/tex]
Thus the area under the curve shaded is 1 to 2 is 0.14
To know more about Z- probability follow
https://brainly.com/question/25638875
Serenity is moving and must rent a truck. There is an initial charge for the rental plus
a fee per mile driven. The total cost of renting the truck can be modeled by the
equation C = 50 +2.75m, where m is the number of miles driven. What is the y-
intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The y-intercept of the equation is 50
Its interpretation in the context is " the initial charge for the rental "
Step-by-step explanation:
The linear relationship can be represented by the equation
y = a x + b, where
a is the slope ( the rate of change)b is the y-intercept (initial amount, or fixed amount, or the amount of y at x = 0)∵ Serenity is moving and must rent a truck
∵ There is an initial charge for the rental
∴ b represents the initial charge for the rental
∵ There is a fee per mile driven
∴ a represents the fee per mile driven
∵ The equation represents this situation is C = 50 + 2.75 m
∵ C is the total cost
∵ m is the number of miles driven
→ Compare it with the form of the equation above
∴ a = 2.75
∴ b = 50
∵ b is the y-intercept
∴ The y-intercept of the equation is 50
∵ b represents the initial charge for the rental
∴ The initial charge for the rental is $50
∴ Its interpretation in the context is " the initial charge for the rental "
what's the difference between partial variation and direct variation
Answer:
Direct Variation is a relation that is of the form y = mx.
and
Partial Variation is a relation that is of the form y=mx+b
Explanation:
This is a simple way to see the difference between them.
Hope This help you!
–3x + 5 = –3x + 10
A. 5/6
B. –5/6
C. no solution
D. identity
Answer:
No solution
Step-by-step explanation:
Solve the inequality
9-4r>5
[tex]9 - 4r > 5[/tex]
Plus sides 4r
[tex]9 - 4r + 4r > 5 + 4r[/tex]
[tex]9 > 4r + 5[/tex]
Subtract sides -5
[tex]9 - 5 > 4r + 5 - 5[/tex]
[tex]4 > 4r[/tex]
[tex]4r < 4[/tex]
Divided sides by 4
[tex] \frac{4}{4}r < \frac{4}{4} \\ [/tex]
[tex]r < 1[/tex]
_________________________________
Done♥️♥️♥️♥️♥️
Answer:
[tex]\boxed{\sf{r < 1}}[/tex]Step-by-step explanation:
[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]
Given:
The inequality must be solved.
The process of solving an inequality consists of determining the values of the variable that make the statement true.
The definition of inequality is where one quantity is greater than or less than another.
Solutions:
9-4r>5First, subtract by 9 from both sides.
[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]
Solve.
5-9=-4
-4r>-4
Multiply by -1 from both sides.
[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]
Solve.
4r<4
Divide by 4 from both sides.
4r/4<4/4
Solve.
4/4=1
[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]
Therefore, the final answer is r<1.I hope this helps, let me know if you have any questions.
Learn more about how to solve inequality:
https://brainly.com/question/12476793
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
a. y = negative x + 9
b. y = negative x minus 3
c. y = x + 9
d. y = x minus 3
Answer:
y= -x + 9 (or A)
Step-by-step explanation:
Edge
find c! please explain the steps and help me find the answer.
Answer:
34.78
Step-by-step explanation:
using cosine rule
AB^2 = CB^2 + AC^2 -2(CB × AC × COS C)
18^2 = 17^2 + 27^2 -2(27×17×COS C)
324= 289+729- 918COSC
324-289-789= -918COSC
-754= -918COSC
COS C = 754/918
COS C = 0.82135076253
C= arccos(0.82135076253)
C= 34.78(2 dp)
The equation of the regression line is written below, where y represents the predicted change in sea level and t represents the years since 1993 .
y = 0 + 3.2t
Identify the y -intercept of the regression line and explain what it represents in the context of the data.
Answer: im guessing 68.50 kg (y = –133.18 + 115.91 × 1.74 m).
Step-by-step explanation:
How is the right triangle formed? In other words, describe the lines that make leg “a” and leg “b” and the hypotenuse “c” of the right triangle.
Answer:
A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangleStep-by-step explanation:
Joel throws a six-sided dice and a six-sided dice at the same time and multiplies the scores.
The sample space diagram below shows all the possible outcomes.
1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
Find the probability that Joel gets a number equal to 20.
Answer:
abc def ghi jkl mno pqr Stu vwx yz
8.55 l=_______ml ?
Help
Answer:
8550
Step-by-step explanation:
Help me plz pt2 sorry its the clearest pic I can get
Answer:
Step-by-step explanation:
TURKEY
The definition of congruence = yellow or number 2
If 2 lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel = purple or number 6
Vertical angles are congruent = green or number 3
Given= orange or number 1
Definition of supplementary= blue or number 4
Substitution= red or number 5
I think those are the right answers for the turkey one. If it's not (but I'm pretty sure it is) But if it's not, then switch the yellow and green. Blue and red.
HAT
given=a||b orange number 1
vertical angles are congruent= green or number 2
definition of congruency= blue or number 3
definition of supplementary angles= yellow or number 4
If two parallel lines are cut by a transversal..... = purple or number 5
subsitution= red or number 6
Just saying, I might've done something wrong since it is late at night for me, but sorry just in advance. But I know for a fact that most of my answers are right
Are y'all mad or happy about the time change in some places
Answer:
Not happy with it! :)
Step-by-step explanation:
I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol
Have an amazing day!!
PLEASE RATE!
Solve x + 3y = 9
3x − 3y = −13
Answer:
Answer:
x=-1
y=10/3
Step-by-step explanation:
You can solve the system of equations by applying the elimination method as following:
- Add both equations, then:
- Finally, you must substitute the value of x obtained into one the original equations and then you must solve fot y: