Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
Answers
The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
What is an equation of the line?The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.
Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,
We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,
y-0 = -2-0 / 4-0 (x-0)
y = -1/2(x)
y = -x/2
Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
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Related Questions
24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answers
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation:
Help me please ASAP I need help
Answers
Answer:
Are you looking for the perimeter? if so it would be 34 yards
Step-by-step explanation:
1/2=y+3 divided by 7
(the problem is written different it could be written as 1/2= y+3/7 i think because there is like a long line under the y+3 an under the line its 7 plz help
Answers
Answer:
y = 1/4 :)
Step-by-step explanation:
What’s the volume of each cylinder
Answers
Answer:
471.24 is cylinder A
282.74 is cylinder B
Step-by-step explanation:
https://www.calculator.net/volume-calculator.html
here's the calculator I used.
What is the cardinality of
the set A={a,e,i,o,u}
Answers
Answer:
n(A) = 5
Step-by-step explanation:
The cardinality of a set is the total number of elements in the set
Given the set
A = {a,e,i,o,u}
The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5
3, -12, 48, -192, ...
Find the common ratio for the geometric
sequence.
Answers
56 + 72 = ( + )
help plz
Answers
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work
Answers
Answer:
$35.25
Step-by-step explanation:
Find the total number of inches needed.
The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.
8 + 8 + 14 + 14 = 44 inches
he also was an additional 3 inches
44 + 3 = 47
Now we can find the total price
47 inches × $0.75 = $35.25
Hope this helps!
what does 5 × 100 equal
Answers
Answer: 500.
Step-by-step explanation:
Your answer is 500.
Maximizing yield. Hood Apple Farm harvests an average of 30 bushels of apples per tree when 20 trees are planted on an acre of ground. If 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield
Answers
Answer:
In order to get the highest yield, 25 tress should be planted
Step-by-step explanation:
Given the data in the question;
Let n be number bushel, b is bushels per tree, t is number of trees
from the question, if t = 20, b = 30
and if t = 21 then b = 29
so t + b is constant
t + b = 50 ----- let this be equation
now, n = t × b
so b = n / t
hence from equation, we input b = n/t
t + n/t = 50
n/t = 50 - t
n = t(50 - t)
n = 50t - t²
now we get the derivatives
Note, The maximum amount of trees is simply where the derivative is equal zero, so;
0 = 50 - 2t
2t = 50
t = 50/2
t = 25
Therefore, In order to get the highest yield, 25 tress should be planted
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Answers
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Round to the nearest tenth
Answers
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
Demand for a specific design of dinning sets has been fairly large in the past several years and Statewide Furnishings, Inc. usually orders new dinning sets 10 times a year. It is estimated that the ordering cost is $400 per order. The carrying cost is $50 per unit per year. Furthermore, State Wide Furnishings, Inc. has estimated that the stock out cost is $120 per unit per year. Based on forecast, the annual demand is 600 units. State Wide Furnishings, Inc. has 350 working days in a year and its lead time is 14 working days. Assume the inventory policy of Statewide Furnishings, Inc. does not allow stock out. Determine the economic order quantity.
1. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the maximum allowable shortage.
a. 117.
b. 98.
c. 34.
d. 24.
2. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual ordering cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
3. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual holding cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
4. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual shortage cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
5. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual total relevant, including ordering, holding and shortage, cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
6. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the reorder point.
a. 10.
b. –10.
c. 34.
d. 24.
e. none of the above.
Answers
Answer:
1. a. 117.
2. $2,051.48
3. 592.82
4. 1472.01
5. d. 4116.11
6. d. 24
Step-by-step explanation:
Economic Order Quantity : [tex]\sqrt{\frac{2 * Annual Demand *ordering cost}{Holding cost per unit } ( \frac{Holding cost + Shortage Cost}{Shortage cost }) }[/tex]
Economic order quantity is [tex]\sqrt{\frac{2 * 600 * 400}{50} (\frac{50 + 120}{120} )}[/tex]
EOQ = 117
2. ordering cost :
( total demand / EOQ ) * Ordering cost
( 600 / 117 ) * 400 = $2051.28
3. Holding cost :
Total demand * holding cost per unit
= 592.82
Reorder Point = Daily Demand * lead time
Reorder point = 600 / 350 * 14 = 24
Which pair(s) of numbers has (have) a greatest common factor of 9?
Select ALL that apply.
89 and 18
49 and 27
45 and 63
36 and 54
18 and 63
Answers
Answer:
45 and 63
36 and 54
18 and 63
Step-by-step explanation:
Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They recorded the number of hours each individual spent watching television during adolescence and early adulthood. In later years, they recorded the number of aggressive acts by individuals in the study, as reported by parents, teachers and police. Science magazine published the results in 2002 in an article titled "Television Viewing and Aggressive Behavior during Adolescence and Adulthood." The following are what kinds of variables?
Answers
Your question is incomplete
I have provided the various variables used in the question and their types
Step-by-step explanation:
The independent/explanatory variable in this question is the number of hours spent watching tv. This variable is what is used to explain the changes that occurs in the dependent variable.
The dependent/response variable is the number of aggressive actions that the individual commits. This is the variable we are interested in. This variable is measured using the independent variable.
The confounding variable is gender. And this variable has an impact on both the dependent and the explanatory variables.
8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%
Answers
Answer:
B. 75%
Step-by-step explanation:
multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.
Answer:
75%
Step-by-step explanation:
Start by converting the fraction 3/4 into decimal
Divide the numerator by the denominator: 3 ÷ 4 = 0.75
Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.
your awnser is, 3/4 = 75%
(sorry if this doesnt
make sence)
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answers
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
5th grade math. correct answer will be marked brainliest
Answers
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answers
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
Answers
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Answer:
∠2=67°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠1+∠2=180
113+∠2=180
∠2=180-113
∠2=67°
How high is the end of the ladder against a building
Answers
A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Answers
Answer:
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Step-by-step explanation:
Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.
The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-
H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.
The value of chi square is greater than p-value as,
[tex]19.78 > 0.003[/tex]
Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.
Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
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40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
4 Tables
Step-by-step explanation:
There are 8 pints in a gallon, and since you need 2 pints per table, you would just divide 8 by 2.
Give the most precise name for the quadrilateral. Then, find x and y.
a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20
Answers
Answer:
B
Step-by-step explanation:
(2x - 1) + (2x - 1) + 127 + 127 = 360
n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.
(4x - 2) + 254 = 360
4x - 2 + 254 = 360
4x = 360 - 252
4x = 108
x = 108/4
x = 27
6y - 3y = 3y + 7
6y - 3y = 7 + 5
3y = 12
y = 12/3
y = 4
What is the slope of the line 3y = 4x + 5?
Answers
Answer:
4/3
Step-by-step explanation:
Help I really need this answer 5,000 mL =
Answers
Answer:
5L
Step-by-step explanation:
[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]
Answer:
5L
Step-by-step explanation:
If you are trying to find out how many liters there are in 5000 milliliters then it is 5
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)
Answers
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
[tex]S_{a} = \pi d^2[/tex]
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 3 cm2/min
This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]
[tex]\frac{dd}{dt} = -0.053[/tex]
The diameter decreases at a rate of 0.053 cm/min.
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answers
Answer:2 14
Step-by-step explanation:
9514 1404 393
Answer:
135
Step-by-step explanation:
The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.
The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.
The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.
The number of cubes that will fill the prism is ...
9 × 3 × 5 = 135 . . . cubes to fill the prism
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
18.85
Step-by-step explanation:
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