The statements on the relations and whether they are proportional relationships is given as follows:
(-6,9), (1,-1.5), (8,-12): Yes, with equation y = -1.5x.(-2,1), (3,6), (8,11): No.What is a proportional relationship?A proportional relationship is a linear function that has intercept of zero and slope as the constant of the proportionality k, as follows:
y = kx.
A relation represents a proportional relationship if the ratio of the output y by the input x is the same for all the points.
For the first relation, the constant for each point is given as follows:
k = 9/-6 = -1.5.k = -1.5/1 = -1.5.k = -12/8.Hence it represents a proportional relationship, and the equation is given as follows:
y = -1.5x.
For the second relationship, the constants are:
k = 1/-2 = -0.5.k = 6/3 = 2.Different constants, hence it does not represent a proportional relationship.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
YOU GOTTA HELP ME! The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying x pounds of broccoli. Which equation represents this situation?
Answer:
y = 1.25 * x
Step-by-step explanation:
y is the total cost. You get the total cost by multiplying the price with the amount of pounds of broccoli you buy
Fran owns a make-up store. During her first
month, the ratio of eyeshadow sold to lipstick
sold was 5:1. If there were 512 lipsticks sold, how
many eyeshadows did Fran sell?
C
C
Answer: 2560 eyeshadows
Step-by-step explanation:
512x5
Answer: 2560
Step-by-step explanation: First we can set up a proportion: [tex]\frac{5}{1} =\frac{x}{512}[/tex]
Then we can multiply 5 and 512, which gets us 2560. That's the answer, but for a different proportion, you would divide the last number, but in this case, since the last number's one, nothing changes.
hope this helps!
please give brainliest!
Round 722297 to the nearest thousand?
Answer:
722000
Step-by-step explanation:
the last 3 digits are below 500 so you round them down to 722000.
Answer: The second 2nd is the thousand
first 2 is near to thousand because it is ten thousand
third 2 is also near to thousand because it is hundreds
Using Intermediate Value Theorem determine which of the following
function has a real root on [1,2].
Answer:
Use the Intermediate Value Theorem to prove that every cubic function has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.
Which of the following equations has the solution x = all real numbers?
O5(3-x)+7x = 3x + 15 - x
O 5(3-x)+7x = 3x + 10 x
O 5(3-x)+7x = x + 15 - 3x
5(3x) + 6x = 3x + 15 + 2x
The required equation that has a solution as x = all real numbers is 5(3-x)+7x = 3x + 15 - x. Option A is correct.
Given that,
To determine the equation that has the solution x = all real numbers.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Equation 1
5(3-x)+7x = 3x + 15 - x
15 - 5x + 7x = 3x +15 - x
2x = 2x
Since it implies the variable x solution as all real numbers,
While all other equation has a distinct unique solution,
Thus, the required equation that has a solution as x = all real numbers is 5(3-x)+7x = 3x + 15 - x. Option A is correct
Learn more about equations here:
brainly.com/question/10413253
#SPJ1
The doubling period of a bacterial population is 20 minutes. At time t=120 minutes, the bacterial population was 90000.
What was the initial population at time t=0?
Find the size of the bacterial population after 3 hours.
The initial population at time t = 0 is 1406.25.
The size of the bacterial population after 3 hours is 720,000.
What is the bacterial population?The bacterial population would grow at an exponential rate. The equation that can be used to determine the bacterial population in 3 hours is
Bacterial population = initial population x ( 1 + 1)^t
Where
t = time = total number of minutes / 20 minutes
t = 120 / 20 = 6
Initial population:
90,000 / (2^6) = 1406.25
Population in 3 hours = 1406.25 ( 1 + 1)^9 = 720,000
t = (3 x 60) / 20
180 / 20 = 9
To learn more about exponential functions, please check: https://brainly.com/question/26331578
#SPJ1
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking for volunteers to participate in the study. One hundred subjects replied and were informed that one group would receive the new cream and the other group would receive a cream with no active ingredient. All 100 subjects were exposed to poison ivy. Fifty were then randomly assigned to the group with the new cream, and 50 were randomly assigned to the group with the cream with no active ingredient. After three days, the subjects’ level of irritation was measured.
Which of the following accurately describes the benefit of comparison in the experiment?
The overall level of irritation can be compared to see if the new cream had a significant effect.
The level of irritation for both groups can be compared to see if the new cream had a significant effect.
The level of irritation in the treatment group only can be compared to see if the new cream had a significant effect
Since one group received a cream with no active ingredient, the researchers will not be able to determine of the new cream is effective.
The option that accurately describes the benefit of comparison in the experiment is; The variability between each subject would be evenly distributed between the two groups, so any observed differences in the level of irritation between the two groups are more likely due to the new cream.
How to Interpret a statistics experiment and research?In a research where there exists the possibilities of outcomes being partial, it means that the details being masked from the subject is referred to as single-blind.
In this research, we see that the subjects do not know about the cream that they are receiving whether it was either new or with no active ingredient. Therefore, it means the research will be more effective as there will be no latter psychological effects on the result
Due to the fact that the people were randomly assigned to one of the two groups, it means that there is some randomness to both groups that makes them the same. The group that doesn't get the cream will be identified as a control group.
Read more about statistics research at; https://brainly.com/question/14724376
#SPJ1
Candy Snaps come in several colors. The company claims that at least 30% of the
candies are red. After eating bags and bags of these candies, Brenda thinks the
percentage of red candies is less than 30%. So, she takes a sample of 50 candies and
finds that 10 of them are red.
Calculate the test statistic for this problem. (Round to the nearest thousandth.)
A test statistic is a figure obtained from a statistical analysis.It explains how far the observed data is from the null hypothesis, which states that there is no correlation between the variables or difference between the sample groups.
Calculate the test statistic for this problem ?Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
To learn more about test statistic refer
https://brainly.com/question/24029881
#SPJ13
Find two consecutive odd integers such that the sum of their squares is 34.
The consecutive odd integers such that the sum of their squares is 34 are 3 and 5.
The square of the 3 is 9.
The square of the 5 is 25.
and both are the consecutive in the number line and their sum is 34 which satisfy the given statement.
To know about more consecutive https://brainly.com/question/537266
#SPJ1
Let g(x) = x² – 1. What is the average rate of
change of the function from x = 3 to x = 6?
The average rate of change of the function g(x) = x² – 1 from x = 3 to x = 6 is 9.
What is the average rate of change of a function?
The average rate of change function describes the average rate at which one quantity changes in proportion to another's change.
We can write the Average Rate of Change of a function f from a to b as follows using function notation:
[tex]r = \frac{g(b)-g(a)}{b-a}[/tex]
The given function is g(x) = x² – 1.
Then the rate of change of a function from x = 3 to x = 6.
so the value of a = 3 and b = 6, using the above formula, we get
[tex]r = \frac{g(b)-g(a)}{b-a}\\r = \frac{g(6)-g(3)}{6-3}\\r = \frac{(36-1)-(9-1)}{6-3}\\\\r = \frac{35-8}{3}\\r = \frac{27}{3}\\\\r = 9[/tex]
Hence, The average rate of change of the function g(x) = x² – 1 from x = 3 to x = 6 is 9.
To learn more about the average rate of change of function, visit:
brainly.com/question/24313700
#SPJ13
Linda computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When Linda realized her error, she recalculated and included the sixth test score of 82. What is the average of Linda's six biology tests? O82 85 O86 O87 O 88 G
The average of Linda's six biology tests is 87.
Average:
Average is the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
Linda computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When Linda realized her error, she recalculated and included the sixth test score of 82.
Here we need to find the average of 6 six biology subjects.
In the given question, we know that,
Average of 5 biology subjects = 88
So, the total mark in those five subject is calculated as,
=> 88 x 5 = 440
So, the new total including the sixth subject is,
=> 440 + 82
=> 522
Therefore, the average of 6 subjects is calculated as,
=> 522/6
=> 87
So, the average of 6 subjects is 87.
To know more about Average here.
https://brainly.com/question/16956746
#SPJ1
“Every year 8.8 million hectares of natural forest are cut down – that’s an area the size of a football field every second.”
Based on these figures, calculate what the area of a football field equals.
Don't really understand the question, can you guys help please?
I'm giving 40 points!!!
The area of a football field, considering the proportions in this problem, is of:
0.279 hectares.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations to find the desired amounts in whichever context of the problem.
The composition of an year is given as follows:
365 days.Each day has 24 hours.Each hour has 3600 seconds, as it has 60 minutes, each composed by 60 seconds.Hence the number of seconds in an year is given as follows:
365 x 24 x 3600 = 31,536,000 seconds
The number of hectares cut in a year is:
8,800,000 hectares.
This amount in this time is equivalent to the area of a football field each second, hence this area is obtained as follows:
Area of a football field = 8,800,000/31,536,000 = 0.279 hectares.
A similar problem, also featuring proportions, is presented at https://brainly.com/question/24372153
#SPJ1
240 Divided by8 is 30
Answer:
30
Step-by-step explanation:
240/ 8 = 30.
alternatively, you can say 30 multiplied by 8 is 240. or you divide 240 by 30 and get 8.
Answer:
Yes correct so what is the question
240/8=30
Step-by-step explanation:
Question
Find the patient's ratio of total cholesterol to HDL cholesterol using the given information. Total cholesterol is 290 mg/dL
and HDL cholesterol is 40 mg/dL. Write your answer as a simplified fraction.
The Ratio of cholesterol to HDL cholesterol is 29/4
What does a math ratio mean?
Definitions: An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls
First, write the words that express the ratio. We want to know the ratio of total cholesterol to his HDL cholesterol.
Write as a fraction.
Total cholesterol / HDL cholestrol
Substitute the values.
290/40
Simplify.
29/4
Ratio and proportion explanation:
brainly.com/question/12024093
#SPJ9
Question 16 of 50
The point (1, -4) is a solution of the system:
x + 2y = -7
-4y = -x
True
False
Answer:
False
Step-by-step explanation:
1 + 2 (-4) = -7
1 - 8 = -7
-7 = -7
-4 (-4) = -1
16 = -1
subtract the following 2a + 3b from 8a+ 7b
Answer is : 5a + 4b
2. Lin is making a window covering for a window like the one shown that has the shape of a
half circle on top of a square of side length 3 feet. How much fabric does she need?
The Area of the fabric required is 3.6 square feet
The square's side length is 3 feet.
Due to the fact that Lin is creating a window covering for a window that is half circle-shaped on top of a square.
The window covering must therefore be a semicircle with a 3-feet diameter.
thus the semicircle's radius is equal to d/2 = 3/2 feet
Now, the Area of the semicircle,
[tex]A =\frac{1}{2} \pi r^{2} \\[/tex]
Putting the value of the radius in the equation, we have,
[tex]A =\frac{1}{2} \pi (\frac{3}{2} )^{2} \\\\A = \frac{1}{2} *\frac{22}{7} *\frac{3}{2} *\frac{3}{2} \\\\A = \frac{99}{28} = 3.53 = 3.6[/tex]
Hence, The Area of the fabric required = 3.6 square feet
To read more about areas, visit https://brainly.com/question/27683633
#SPJ1
Write the equation of a line that is parallel to x=−5 and that passes through the point (1, 4)
Answer:
x = 1
Step-by-step explanation:
The equation x = -5 is a vertical line through point (-5, 0) on the x-axis.
For a line to be parallel to the line x = -5, it must be a vertical line.
Since the vertical line must include the point (1, 4), then the x-coordinate of every point on that line must be 1.
The equation is x = 1.
16) If m∠10=77⁰, m∠7=47⁰, and m∠16=139⁰, find the measure of each angle.
a. m∠1 =
b. m∠2 =
c. m∠3 =
d. m∠4 =
e. m∠5 =
f. m∠6 =
g. m∠8 =
h. m∠9 =
i. m∠11 =
j. m∠12 =
k. m∠13 =
l. m∠14 =
m. m∠15 =
n. m∠17 =
o. m∠18 =
Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.
Corresponding and Alternating AnglesThe corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.
Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
a. m∠1 = m∠7
Reason : Corresponding angles are equal
m∠1 = 47°
b. m∠2 = 180 - m∠1
Reason: Angles on a straight line
m∠2 = 180 - 47
m∠2 = 133°
c. m∠3 = m∠16
Reason : alternating angles are equal
m∠ = 139°
d. m∠4 = 180 - m∠3
Reason : Angles on a straight line
m∠4 = 41°
e. m∠5 = 180 - m∠4
Reason: Angles on a straight line
m∠5 = 139°
n. m∠17 = 180 - m∠6
m∠17 = 41°
f. m∠ 6 = m∠15
m∠15 = m∠17
Reason : Opposite angles are equal
m∠ 6 = m∠ 17
Reason : Alternating angles are equal
m∠ 6 = 41°
g. m∠8 = m∠1
m∠ 8 = 47°
h. m∠ 9 = m∠2
m∠9 = 133°
m. m∠15 = m∠ 17
m ∠ 15 = 41°
o. m∠ 18 = 360 - (m∠15 + m∠16 m∠ 17)
m∠18 = 360 - (41 + 139 + 41)
m∠18 = 139°
Learn more on corresponding and alternating angles here;
https://brainly.com/question/26167358
#SPJ1
Find the slope of the line passing through the points ( -8,8) and ( 2,8)
The slope of the line passing through the points ( -8,8) and ( 2,8) is 0.
What is slope?
The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols y and x stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is given by m = change in y/change in x = y/x. where'm' denotes a line's slope
Here the given points are,
[tex](x_1,y_1)=(-8,8)\\(x_2,y_2)=(2,8)[/tex]
Now using slope formula ,
=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m= [tex]\frac{8-8}{2+8}[/tex]
=> slope m = 0
Hence slope of the given points is 0.
To learn more about slope refer the below link
https://brainly.com/question/19243824
#SPJ9
One day is 1440 minutes long. How many minutes are in 30 days?
Group of answer choices
43200
42200
32200
4320
Answer:
Step-by-step explanation:
A day is 24 hours long, an hour is 60 minutes, and 24 multiplied by 60 is 1,440 minutes. To get the number of minutes in 30 days, we multiply 1,440 by 30 which is 43,200 minutes.
Find The Missing Values in the table
16,?,12
80,?,?
16, 14, 12
80, 70, 60
Step-by-step explanation:
16×5 = 80
14×5 = 70
12×5 = 60
Answer:
16, 14, 12
80, 70, 60
Step-by-step explanation:
16×5 = 80
14×5 = 70
12×5 = 60
Hope it helps! :)
Prove that line segment AD is congruent to DB
Prove: AD≅DB.
Note: quadrilateral properties are not permitted in this proof.
The line segment AD is congruent with DB because the corresponding parts of congruent triangles are congruent.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
Draw the DM as the perpendicular bisector of AB(Assumption)
Since DM is perpendicular to AB, m∠AMD = m∠BMD = 90°.
Since DM bisects AB, AM ≅ BM. With AD≅ DB (reflexive property), ∆ADM ≅ ∆BDM by SAS.
Finally, AD≅ DB because corresponding parts of congruent triangles are congruent.
Therefore, ∆ABD must be isosceles since two of the three sides are congruent.
Thus, line segment AD is congruent with DB.
Learn more about Isosceles Triangle here:
brainly.com/question/2456591
#SPJ1
Solve the problem by writing and solving a suitable system of equations.
A small business takes out loans from three different banks to buy some new equipment. The total amount of
the three loans is $19,000. The first bank offered an interest rate of 16%. The second bank offered a rate of 18%
and the amount borrowed from this bank was $5000 less than twice as much as the amount borrowed from the
first bank. The third bank offered a rate of 15%. The total annual interest was $3050. How much did they borrow
from each bank?
Equations—
Money borrowed from x, y, z banks on loan are $5000, $5000, $9000 respectively.
What is loan?
A loan is the lending of money by one or more people, businesses, or other entities to other people, businesses, or other entities. The recipient incurs a debt and is often responsible for both the principal amount borrowed as well as interest payments until the debt is repaid.
Main Body:
The equations formed from the information given in question are:
x+y+z = 19000
16x+18y+15z = 305000 and,
2x-y = 5000
by solving these equation we get
x= $5000
y= $5000
z= $9000
Hence the answer to this question are $5000 for x, y bank and $9000 from z bank.
to learn more about loan , visit;
https://brainly.com/question/25599836
#SPJ13
Expand and simplify (2x + 3) (x + 7)
Answer:
[tex]2x^{2} +17x+21[/tex]
Step-by-step explanation:
multiply the 2x by x and 7 and then multiply 3 by x and 7. you will get 2[tex]x^{2}[/tex]+14x+3x+21. combine like terms so add 14x to 3x and thats the only like trerms in the equation. so 2x^2+17x+21
Three numbers are chosen at random.
The middle number is 5 more than the smallest number.
The largest number is two times the smallest number.
The sum of the 3 numbers is 53.
What is the smallest number?
Answer:Smallest + Middle + Largest = 53
M= S + 2
L = 2S
Substitute M= S +2 and L = 2S into S + M + L =53
S + S + 2 + 2S = 53
4S + 2 = 53
4S/4 = 51/4
S = 12.75
M = 12.75 + 2
M = 14.75
L = 2 (12.75)
L = 25.5
Step-by-step explanation:
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v= [tex]\sqrt{x} 19.6h[/tex]. If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?
If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .
In the question ,
it is given that
the when the object is dropped from height h then the velocity with which it hits the ground is given by the formula
v = √(19.6×h)
to find the height it was dropped , and it hits the ground with velocity 25.7 meter per second ,
we substitute v = 25.7 in the equation v = √(19.6×h) ,
we get ,
25.7 = √(19.6×h)
squaring both the sides , we get
19.6 × h = 25.7²
19.6 × h = 660.49
h = 660.49/19.6
h = 33.698
h ≈ 33.7
Therefore ,If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .
The given question is incomplete , the complete question is
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = √(19.6×h) . If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?
Learn more about Equation here
https://brainly.com/question/20359474
#SPJ1
5² x 6-85 please solve I am in need
Answer:
65 good sir.
Step-by-step explanation:
You make payments of $150 per month into an ordinary annuity
with an interest rate of 1.2% compounded monthly. How much
will be in the account in 5 years? Remember rounding rules for
money.
There will be $9270.71 in the account in 5 years
What is future value ?
Future value refers to an asset's value at a future time. It calculates the nominal amount of money that a certain amount of money is "worth" at a specific point in the future under the assumption of a specific interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function.
Given
PMT = $150
r = 1.2%
t = 5years
Future value , FV = PMT [tex]\frac{(1+i)^{n}-1 }{i}[/tex]
i = 0.012 /12
n = 5 *12
FV = 150 [tex]\frac{(1 +\frac{0.012}{12})^{5*12} }{\frac{0.012}{12} }[/tex]
= 9270.71
The amount in the account in 5 years is 9270.71
To learn more about future value from the given link
https://brainly.com/question/24703884
#SPJ1
What is the perimeter and area of shaded region?
The perimeter and area of the shaded regions are 31.4 and 37.69 respectively.
How to calculate the area and perimeter?a ) Big circle
Radius = r = 3
Perimeter of the big circle = 2 πr
= 2 π* 3
= 6 π
Area of the big circle = π [tex]r^{2}[/tex]
= π * 9
= 9 π
b) Small circle
Radius = r = 2
Perimeter of the small circle = 2 πr
= 2 π* 2
= 4 π
Area of the small circle = π [tex]r^{2}[/tex]
= π * 4
= 4 π
c) Full circle
Radius = r = 5
Perimeter of full circle = 2 πr
= 2 π* 5
= 10 π
Area of full circle = π [tex]r^{2}[/tex]
= π * 25
= 25 π
d ) The shaded region
Perimeter of the shaded region of the circle =Perimeter of full circle
=10π
=31.4
Area of the shaded region of the circle = Area of full circle -(areas of big and small circles)
= 25π - 13 π
= 12 π
= 37.69
To learn more about area of circle , refer:
https://brainly.com/question/12374325
#SPJ1
