What is the slope of the line graphed in the coordinate grid?
(Write the answer as a fraction in lowest terms.)
Answers
Answer:
3/4
Step-by-step explanation:
I drew a slope triangle and found the slope by finding the distance between two points on the line.
[tex]vertical distance/horizontal distance[/tex]
Hope this helped!
The slope of the line graphed in the coordinate grid will be;
⇒ m = -4/5
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The line graphed in the coordinate grid is shown in figure.
Now,
Let two points on the graph of the line are (5, 0) and (0 , 4)
We know that;
Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, Slope of the line passing through the points (5, 0) and (0 , 4) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (4 - 0) / (0 - 5)
⇒ m = 4 / (-5)
⇒ m = -4/5
Thus, The slope of the graph = - 4/5
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Related Questions
Plz, Help me! I will give a point if you help answer! with 5 star rating, Thanks, and Brainliest!
Answers
Answer:
-4/10+(-7/10)= -1 1/10(the bottom left one)
Step-by-step explanation:
starts from 0 and subtract 4/10. From there you subtract 7/10 more.
Marian is making bread, she has 2 4/7 pounds of flour in her pantry. When making the bread, she will use ⅓ of the flour in the pantry. The amount of salt in the recipe is ⅓ of the amount of flour in the recipe. How much salt will Marian need to make bread?
Answers
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
A. The points on the boundary line are always solutions to the linear inequality.
B. The boundary line separates the ordered pair solutions to the inequality from the ordered pairs that are not solutions to the inequality.
C. A solid line is used when the inequality is non-strict ( ≤ or ≥ ).
D. A dashed line is used when the inequality is strict ( < or > )
Answers
D. A dashed line is used when the inequality is strict ( < or > )
A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.
The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.
When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.
So, A dashed line is used when the inequality is strict ( < or > ) is not true about the boundary line in the graph of a linear inequality in two variables
Therefore, the correct option is D.
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Solve the inequality
-2(5x + 1) > 48
Answers
Answer:
x<-5
Step-by-step explanation:
-10x-2>48
-10x-2+2>48+2
-10x>50
-10x/-10 > 59/-10
= x<-5
Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values? List five different outcomes and their associated y values.
Answers
Answer:
Outcomes are { L, RL, AL, RAL, ARL }
Associated X values are { 1, 2, 2, 3, 3 }
Step-by-step explanation:
As given,
left = (L),
right = (R)
goes straight ahead = (A)
Now,
The Sample space become = { L, RL, AL, RAL, ARL }
In L -
Number of cars = 1
In RL-
Number of cars = 2
In AL-
Number of cars = 2
In RAL-
Number of cars = 3
In ARL-
Number of cars = 3
I need help with this please
Answers
if set 50/w equal to 10, then multiply 10 by w, so get rid of the fraction, and 10 times 5 is 50 so the answer is 5
I need help with this.
Answers
Answer:
Hypotenuse equals 6 and Y (longer leg) equals 3 square root of 3
Step-by-step explanation:
According to the 30-60-90 triangle rule, The hypotenuse is always 2 times greater than the shortest leg, and the longer leg is always the square root of 3 tie greater than the shortest leg.
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answers
Answer:
b
Step-by-step explanation:
B
C
x
50°
A
D
ABCD is a rectangle.
AC and BD are straight lines.
The angle between AC and BD is 50°.
Work out the size of the angle marked x.
Answers
Answer:
The answer is : x = 130 degrees
Kevin has 1,066 trading cards. Each album holds 26 cards. How many albums does Kevin need to hold all his cards?
Answers
Answer:
41
Step-by-step explanation:
Ok so you would divide 1,066 by 26 which would equal 41. Have a great day!
solve for x.
help pls im stressed
Answers
Dont be Stressed Im here
X=6
Find the rate of $740 for 5 pounds
Answers
Answer:
Each $148 = 1 pound.
Step-by-step explanation:
Simplify 136 + 81.
36 + 81 =
Answers
Answer:
298.36
Step-by-step explanation:
If $700 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is Ant 700(1.03)^t.
Required:
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t= 0 to t= 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t=8)
c. Estimate the instantaneous rate of change for t =4.
d. The average rate of change per year of the total amount in the account for the first years of the investment â(from t= 0 to t=4â) is ___________â$
e. The average rate of change per year of the total amount in the account for the second years of the investment â(from t= 0 to t=4â) is_____________ â$
f. The instantaneous rate of change for t=4 is about â$_____________
Answers
Answer:
21.96 ; 24.72
Step-by-step explanation:
Given that :
Give the equation:
A(t) = 700(1.03)^t
A.)
Average rate of change over the first 4 years ;
(t=0 to t=4)
At t = 0
A(0) = 700(1.03)^0 = 700
A(1) = 700(1.03)^1 = 721
A(2) = 700(1.03)^2 = 742.63
A(3) = 700(1.03)^3 = 764. 9089
A(4) = 700(1.03)^4 = 787.856167
[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4
= 87.856167 / 4
= 21.96404175
= 21.96
Over the 2nd 4 years :
A(4) = 700(1.03)^4 = 787.856167
A(5) = 700(1.03)^5 = 811.49185201
A(6) = 700(1.03)^6 = 835.8366075703
A(7) = 700(1.03)^7 = 860.911705797409
A(8) = 700(1.03)^8 = 886.73905697133127
[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4
= 98.88288997133127 / 4
= 24.72
factor the expression: 14 + 28
Answers
Answer:
14 + 28 = 42
Step-by-step explanation:
2 x 3 x 7
You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red
marbles.
What is P(draw a blue marble)?
Answers
There are 3 blue marbles out of 12 marbles total which is 3/12. Simplify this and it equals 1/4.
I hope this explanation helps you understand this problem better.
Which equation is not a polynomial.
A.-sqrt(2)
B.-3x^2+xy-2y^2
C.x^/y +3xy -2y^2/x
D.sqrt(2a^2)-4xy-2x^2y^2
E.5x^-2 +x^-1 y-2
Answers
Explanation:
there are no degrees, etc
A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 185 4 284 212 5 255 178 6 275 212 7 293 192 8 277 196 Can you conclude that the mean cholesterol level after treatment is less than the mean before treatment
Answers
It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Let the hypothesis be:
H₀: The difference in the mean is less than or equal to 0.
H₁: The difference in the mean is greater than 0.
Here, the sample size, n = 8.
Assume, α = 0.05.
First, find the mean of the differences.
[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]
[tex]=79.375[/tex]
Now, the standard deviation of the difference is:
[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]
[tex]=13.3838[/tex]
The t value is:
[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]
[tex]=16.7745[/tex]
Now, the degree of freedom is 8 - 1 = 7.
The p-value corresponding to this is 0.0005, which is less than the value of 0.05.
So, reject H₀.
Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
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You are given the task of building detention ponds to remove settleable solids from a small stream prior to discharge into a lake. The ponds must be 2 m deep, the flow in the stream is 20 cfs, the solids settle at a rate of 0.2 m/day, and you must achieve a steady-state removal of 65% of the solids.
a. Determine the size of a single CSTR to achieve the desired removal.
b. Determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal.
Answers
Answer:
a) 513775.5 m^3 ≈ 51.38 * 10^4 m^3
b) 256887.75 m^3 ≈ 25.69 * 10^4 m^3
Step-by-step explanation:
Given data :
Depth of pond = 2m
flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day
settling rate = 0.2 m/day
rate constant ( k )= 0.2 / 2 = 0.1 / day
steady-state removal of the solids required = 65%
A) determine size of a single CSTR to achieve 65%
First determine the time required to achieve this using the relation below
C = [tex]c_{o} e^{-kt}[/tex]
∴ t = [tex]\frac{-1}{k}* ln( 1 - 0.65 )[/tex]
= ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day
The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3
B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal
sizes of a pair = 513775.5 / 2 = 256887.75 m^3
5
B
C
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the [? ]-axis,
then translate
(x+[ ], y+[ ]).
Note: Enter x ory for axis.
4
3
2
D
H
4
813
2
1
0
4
6
7
Answers
Answer:
Step-by-step explanation:
Reflect over the Y axis, then translate (x+[-2], y+[-3])
The composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
What is geometric transformation?Change is referred to as transformation. As a result, a geometric transformation entails making modifications to any geometric shape.
Vertices of the quadrilateral ABCD having coordinate A,B,C,D are (-5, 2),(-3, 4), (-2, 4),(-1, 2) respectively.
The image quadrilateral A'B'C'D' is formed by reflecting the supplied quadrilateral ABCD across the x-axis.
The rule for a point's reflection across the x-axis is:
(x, y) → (x , -y)
The picture point A' coordinates will be,
A(-5, 2) → A'(-5, -2)
Point E is produced by translating point A', as shown in the diagram. The rule for translating a point by h units right and k units up is as follows:
A'(x+h, y+k) → E(x', y')
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That is to say, the translation rule will be:
[(x + 6), (y + 1)]
Hence, the composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
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15. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What percentage of the time does Ellen’s commute take less than 14 minutes?
(a) 0.8%
(b) 1.1%
(c) 1.6%
(d) 98.3%
(e) 99.2%
16. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What percentage of the time does Ellen’s commute take between 14 and 36 minutes?
(a) 0.8%
(b) 1.1%
(c) 1.6%
(d) 98.3%
(e) 99.2%
17. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What is the 80th percentile for Ellen’s driving times?
(a) -0.84
(b) 0.84
(c) 3.9
(d) 25.8
(e) 28.9
18. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. On Tuesday, it takes 19 minutes to get to work. What is the z-score for her commute that day?
(a) -6.0
(b) -1.30
(c) -0.77
(d) 0.77
(e) 1.30
Answers
(11 - 3) x [ 15 + (10 - 5)] write 3 steps using pemdas
Answers
Answer:
160
Step-by-step explanation:
HELP NOWWWWW PLEASEEEEE
How many 1/3's are in 1 and 2/3?
Answers
Answer:
5 thirds
Step-by-step explanation:
Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0
Therefore, 5x1/3=5/3=1 2/3
Answer:
This guy is wrong. 1 2/3 is equal to 5/3. But that is not the answer(like that dummy above said)
The Question is asking "How many 1/3's are in 1 2/3" (5/3)
The answer is 5, not 5/3's.
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answers
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
K = 4
G = 42
S = 18
Y = 9
F = 19
PLEASE HELP I WILL GIVE BRAINLEST!!
Answers
Answer:
8 1/8
Step-by-step explanation:
I used a calculator....
(hope this helps :P)
The Function f(x) =15,000(0.88)x represents the value of a car over x years . What is the most appropriate domain for which the value of the car will me greater than 10% of its original value ?
Answers
Find the rate of change in a table
Answers
Answer:
excuss me where the picture
Step-by-step explanation:
Click here to read aloud.
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
please answer asap with explanation qwq
Answers
Answer:
1. 55%
2. 190%
Step-by-step explanation:
1a. set up an expression.
33/60 = x/100
33 out of 60 is the 33 pounds out of the 60 weight limit. The x is what you're solving for, and the 100 is the given percent, because the percent is always going to be out of 100%.
1b. do cross multiplication; so do 33*100, which equals 3300
1c. divide; 3300 divided by 60, which equals 55.
For the second problem, do the same thing. your expression should be 114/60 = x/100
Pls I need help I will mark Brainly
Answers
Answer:
(10⁰x 10¹ x 1¹⁰)< (10⁰ + 10¹x 1¹⁰)<(10⁰ + 10¹ + 1¹⁰)< (10 x 10¹)
Step-by-step explanation:
increasing order-
(10⁰x 10¹ x 1¹⁰)
(10⁰ + 10¹x 1¹⁰)
(10⁰ + 10¹ + 1¹⁰)
(10 x 10¹)
what is 550 x 34 ?????
Answers
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps