Answer:
constant of proportionality = 10
Step-by-step explanation:
Direct proportion equation :
y = kx, where k is the constant of proportionality
linear equations to Standard Form y=10x-4
Answer:
The standard form of the linear equation is 10x - y = 4
Step-by-step explanation:
The standard form for linear equations in two variables is
Ax + By = C, where A, B, and C are integers
∵ The linear equation is y = 10x - 4
→ Let us move x from the right side to the left side by subtraction
10x from both sides
∴ y - 10x = 10x - 10x - 4
∴ y - 10x = -4
→ Multiply all terms in the two sides by -1
∴ -y + 10x = 4
→ Start the equation by x
∴ 10x - y = 4
∴ The standard form of the linear equation is 10x - y = 4
The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data.
Pair Control plot Treated plot
1 9.728 10.748
2 7.276 8.332
3 5.612 6.632
Required:
a. State the null and alternative hypotheses.
b. Explain clearly why the investigators used a one-sided alternative.
1. The researchers have no preconceived idea what extra CO2 will do to the growth rate.
2. The researchers have reason to believe that CO2 will decrease growth rate.
3. The researchers have reason to believe that CO2 will increase growth rate.
c. Carry out a test and report your conclusion in simple language.
Answer:
this is math go to siecne noob
Step-by-step explanation:
Find the value of X.
Answer:
x = 59
Step-by-step explanation:
34 + x - 30 + 5x + 2 = 360
34 - 30 + 2 + x + 5x = 360
4 + 2 + 6x = 360
6 + 6x = 360
6x = 354
x = 59
Hope this helped!
Se deseneaza o dereapta si pe ea trei puncte A,B si C astfel incat C se afla intre A si B. Atunci numarul unghiurilor improprii distincte determinate de cele trei puncte este egal cu ? CAT MAI RAPID VA ROG!
3.08 + 8.94 Find the sum
Answer:
5.86
Step-by-step explanation:
Write the even numbers between 38 and 50.
Answer:
38,40,42,44,46,48...50
Step-by-step explanation:
even numbers are numbers that can be divided by 2 without any remainders
so the even numbers btw 38_50 are above✌
An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours
Answer:
4250 km
Step-by-step explanation:
If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.
4080km + 170km= 4250 km
Given : An airplane cover 1020km in an hour.
To Find : How much distance will it cover in 25/6 hours .
Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .
Now , it is asked to find that how much distance it will cover in 25/6 hours .
Here ,
Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .★ We know a relation between speed , distance & time as ,
[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]
⇒ Distance = Speed × Time .
⇒ Distance = 1020km/hr × 25/6 hr .
⇒ Distance = 4250 km .
Hence the distance travelled is 4250km.
What is the slope of AB shown in the graph Below? This will help a lot of students.
Answer:
Its simply undefined
Step-by-step explanation:
The run is 0 so undefined
Sarah ordered 25 pies and 1 cake cost $15 and the total cost of the order was $150 what was the price of each pie? Writ3 and solve the equation to answer the question
Answer:
5.40
Step-by-step explanation:
i think that's it because
if u take 150 - the one cake it will equal = 135
then u divide 135 by the 25 pies it will equal 5.40
150-15= 135
135÷ 25= 5.60
This question only for JungKookLuver and JungKookLuver.... is this right...
Answer: Yes it is right.
Step-by-step explanation: Have a blessed day!
Answer: Yes, it’s correct!
Step-by-step explanation: Have A Great Day Bro! :)
Which of the following numbers is irrational?
Simplify
square root of -44
Answer: 6.63324958 i
Answer 2: 2i√11
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
The blue liquid is toxic
Step-by-step explanation:
From the calculations I have done and attached to this problem
Null hypothesis:
H0 : p1 <= p2
Alternate hypothesis:
H1 : p1 > p2
^p1 = 0.925
^p2 = 0.2250
^P = (x1 + x2)/(n1+n2)
= 0.575
After calculating, I got test statistics = 6.33 ( check attachment)
P(z > 6.33) = 0.0000
In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.
Please check attachment for calculated test statistics.
Describe how to write a three-digit number in three different ways.
Answer:
Step-by-step explanation:
how do u want me to solve it
5.7% interest on $375 18 month loan
Cherries are a popular grocery item at the holidays for making desserts. If 4 pounds of
cherries at Price Chopper cost $10.50 and 6 pounds cost $15.60 at Target, which store
has the better deal on cherries? Round to the nearest hundreths.
Unit Rate at Price Chopper: $
per pound
Unit Rate at Target: $
per pound
Which is a better buy? (Enter Price Chopper or enter Target)
Answer:unit price at chopper: 2.625/lb
unit price for target:2.6lb
target
Step-by-step explanation:
Can y’all help plzzzzz
1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles
The matching is as follows:
1. <4 and <6 ------> same- side interior angle
2. <5 and <6 ------> vertical angles
3. <2 and <6 ------> corresponding angle.
4. <4 and <5 ------> alternate interior angle
What are properties of parallel lines?Properties of Parallel Lines
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.Now, from the figure
1. <4 and <6 shows the relationship of same- side interior angle
2. <5 and <6 shows the relation of vertical angles
3. <2 and <6 shows the relation of corresponding angle.
4. <4 and <5 shows the relation of alternate interior angle
Learn more about parallel line here:
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PLEASE help due today
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
3 people take 90mins to water a garden how long does it take 6 people
Answer:
hope it is helpful
Step-by-step explanation:
mark as branlist
^ ^
5/680 long divison explanation
Is 8.25 greater, equal or less than 8.250
Answer:
If this is basic mathematics its =
Step-by-step explanation:
You won't have to worry about sig figs until chemistry.
which number is the same as 0.000 000 1: 10^7 or 10^-7
Answer:
= 1 × 10^-7
(scientific notation)
= 1e-7
(scientific e notation)
= 100 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.0000001
(real number)
Step-by-step explanation:
10^7 = 10000000
find the value of x.
The answer is 13, but I need to show my work
Thank you guys
Answer:
Know the properties of vertical angles.
Step-by-step explanation:
Vertical angles are equal to each other, so we must make them equal to each other in an equation:
6x+2=80
6x=78
x=13
what is 108.92 in expanded form
What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)
Answer:5x-13
Step-by-step explanation:
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[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]
[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]
[tex]5x - 13[/tex]
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Round to the nearest whole number 7.6
Answer:
8
Step-by-step explanation:
You would round because 7.6 is over half
Fill in the blanks. a. A relative-frequency distribution is to a variable as a __________ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a __________ histogram is to a random variable.
Answer:
a. A relative-frequency distribution is to a variable as a ___probability_______ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a _____probability_____ histogram is to a random variable.
Step-by-step explanation:
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,
where 0 represent impossibility and 1 represents the chance of it occurring.
a. A relative-frequency distribution is to a variable as a frequency distribution is to a random variable.
b. A relative-frequency histogram is to a variable as a frequency histogram is to a random variable.
The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
A frequency distribution is an overview of all distinct values in some variable and the number of times they occur.
If there are many data points and we would like to see the distribution of the data, we can represent the data by a frequency histogram or a relative frequency histogram.So, a. A relative-frequency distribution is to a variable as a frequency distribution is to a random variable.
b. A relative-frequency histogram is to a variable as a frequency histogram is to a random variable.
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Find the distance between the points (10,5) and (6,2)
The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"
Look at this particle model, what state of matter does it represent? *
Answer:
Solid
Step-by-step explanation:
All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.
PLZ HURRY IT'S URGENT!!!
What is the slope of the line?
y=3
options:
0
1
3
undefined
Answer:
0
There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)
Answer:
0
Step-by-step explanation: