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The direct proportion y=kx is given in the following table. Find the coefficient k, and fill in the table:
Answers
Answer:
Look at image
Step-by-step explanation:
image shown below, copy the answer from there.
The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02 when y = 0.1.
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The direct proportion y = kx is given in the shown table.
Find the coefficient k, and fill in the table:
As per the question, we have
y = kx .....(i)
To determine the value of k, we substitute the value of x = 0.14 and y = 0.7 in equation (i),
⇒ 0.7 = k (0.14)
⇒ k = 0.7/0.14
⇒ k = 5
Substitute the value of k = 5 in equation (i), and we get
y = 5x .....(ii)
Now, we are finding the values of the table,
Substitute the value of x = 3.1 in equation (ii), and we get
y = 5(3.1)
y = 15.5
Similarly, the other required values are
y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02 when y = 0.1.
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Related Questions
The director of the admissions at a large university advises parents of incoming students about the cost of textbooks during a typical semester. He selected a sample of 100 students and recorded their textbook expenses for the semester. He then computed a sample mean cost of $315.40 and a sample standard deviation of $43.20
Required:
Using the 0.10 level of significance, is there evidence that the population mean is above $300?
Answers
Answer:
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Step-by-step explanation:
Step(i):-
Given that sample size 'n' = 100
Mean of the sample x⁻ = 315.40
The standard deviation of the sample (s) = 43.20
Level of significance = 0.1
Mean of the Population = 300
Null hypothesis: H₀: x₀ = μ
Alternative Hypothesis: H₁: x₀ ≠ μ
Step(ii):-
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{315.40-300 }{\frac{43.20}{\sqrt{100} } }[/tex]
t = 3.5648
Degrees of freedom = n-1 = 100-1 =99
[tex]t_{\frac{0.1}{2} , 99} = t_{0.05,99} = 1.9842[/tex]
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Factor the expression: 4d - 4
How do u do this plz help
Answers
Answer: 4(d - 1)
Step-by-step explanation:
both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)
Answer this Please (10) points for this
Answers
2
2
log
(
7
)
log
(
7
)
log
(
8
)
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answers
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answers
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
What is M - 3 > -2???
Answers
Answer:
m>1
Step-by-step explanation:
inverse operations... add 3 to both sides so you get -2+3=1!!
(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one eighth
A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________
Answers
Answer:
Step-by-step explanation:
The answer is d
Answer:
B.
Step-by-step explanation:
I did the test and got it right.
When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 8.5% and you want to have $500,000 when you retire in 45 years, how much would you need to deposit, at the beginning of each month, to reach this goal?
Answers
Answer: The answer is A
What three pairs of numbers have 5 as there greatest common factor?
Answers
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answers
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
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22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?
Answers
Answer:
4
Step-by-step explanation:
45+65=110
110x4=440
Felix chooses a game piece from a bag. This table gives the number of game pieces of each color in the bag. what is the probability that Felix will choose a blue or green piece? Please help me
A. 1/3 | B. 1/4 | C. 1/6 | D.1/2
Color {}{}{}{}{} Number of pieces
______________________
Blue = 2
Green = 2
Red = 3
Yellow = 5
Answers
Add the colors together to get total pieces:
2 + 2 + 3 + 5 = 12 total pieces.
Blue and green = 2 + 2 = 4 pieces.
Picking blue of green would be 4/12 which reduces to 1/3
The answer is A. 1/3
3.) (1.012 X10-2) + (2.4X10-4)
Answers
Answer:
=(10.12-2)+(24-4)
=8.12+20
=28.12
I need help on this question
Answers
4x50=??? use a calculator only if you need to!
Answers
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation:
please help me asap!!
Answers
Answer:
25 square units
Step-by-step explanation:
Area = length x width. The length is 5 units and the width is 5 units. So 5 x 5 = 25 square units.
Answer:
Hmm...do 5 x 5 x 5 x 5 which equals 100
Step-by-step explanation:
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
25+25+25+25=100
In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices
Answers
Answer:
isn't it 2x?
Step-by-step explanation:
PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT
Answers
Answer:
First one is sin 27 and cos 63
second one is sin 60
Step-by-step explanation:
0.62 devided by 3 please
Answers
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!a fisherman floats 58ft. out from the shore. he notices a bird in the sky directly above the shoreline. if the angle of elevation from the fisherman to the bird is 23 degrees, how far is the fisherman from the bird.
Answers
Answer:
63 ft
Step-by-step explanation:
We solve this question using Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
From the question:
θ = 23°
Adjacent = The distance of the fisherman from shore = 58 ft
Hypotenuse = The distance of the fisherman from the bird = x ft
Hence:
Cos 23 = 58/x
Cross Multiply
Cos 23 × x = 58
x = 58/Cos 23
x = 63.00890189 ft
Approximately = 63 ft
The distance of the fisherman from the bird is 63 ft
Seventh grade
>
M.10 Multi-step problems with percents ZHX
A store purchased a hammock and marked it up 125% from the original cost of $36.57.
Then, wanting to make room for summer inventory, the store placed the hammock on sale for
45% off. What was the price after the discount?
If necessary, round your answer to the nearest cent.
Answers
Answer:
$20.57
Step-by-step explanation:
36.57 x 125% (or 1.25) = $45.7125
and
$45.7125 x 45% (or .45) = $20.570625 which rounded up is $20.57
If 25% of a number is 15, find 5% of that number?
Answers
Answer:
The answer is 3
Step-by-step explanation:
25% of 60 is 15 and 5% of 60 is 3
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answers
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
Last year a pet groomer trim the nails of 865 cat and 1189 dogs if she charged $9 for pet how much money did she earn
Answers
Answer:
18486$
Step-by-step explanation:
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2
Step 7: = +✔️b^2-4ac/2a= x + b/2a
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answers
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
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Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?
Answers
Answer:
76%
Step-by-step explanation:
do the amount of correct answers divided by the total of questions asked.
2) What is 18th term in this sequence: 45, 49, 53, 57,
Answers
Answer:
a₁₈ = 113
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 49 - 45 = 53 - 49 = 57 - 53 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = 4, then
a₁₈ = 45 + (17 × 4) = 45 + 68 = 113
There are 100 performers in a dance recital. The ratio of men to women is 4 : 6. How many performers in the dance recital were men?
Answers
Answer:
40 men
Step-by-step explanation:
100 performers so the total men and women = 100
4 + 6 = 10
100/10 = 10
so 4(10) = 40
Please help o..!!!!!!!
Answers
Answer:
the third one
Step-by-step explanation:
this is algebra 2, right?
Answer:
x ≠ 17
Step-by-step explanation:
X can be any number besides 17. If it was 17 you would be dividing by 0 which would cause the universe to implode on itself
find the area of square if the length of its diagonal is 18 cm
Answers
Answer:
324
Step-by-step explanation: