Answer:
GK = 10x+1
GH = 16.4
HK = 20.6
Step-by-step explanation:
Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK
Substituting the functions into the formula we will have:
GK = 4x+2 + 6x-1
collect like terms
GK = 4x+6x +2-1
GK = 10x+1
The algebraic expression that represents GK is 10x+1.
To get the value of x, since GK = 37
10x+1 = 37
10x = 37-1
10x = 36
x = 36/10
x = 3.6
Since GH =4x+2, substitute x = 3.6 into the function
GH = 4(3.6)+2
GH = 14.4+2
GH = 16.4
Also HK = 6x-1
HK = 6(3.6)-1
HK = 21.6-1
HK = 20.6
Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6
What helps to encourage openness, sharing, and respect for one another’s ideas during a group discussion?
Answer:
a sense of cohesion
Step-by-step explanation:
Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.
In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.
The ability to back up views with evidence would allow others to respect the opinion put forward due to the fact that it has a basis. Provision of evidence also allows other's to share views brought forward due to the backing provided by the evidence.Learn more : https://brainly.com/question/17361599
Tom hypothesizes that there is a relationship between air pressure and rainfall. He records air pressure and rain amounts for three months. Each month, he seems to get different results. What is the most likely explanation for this?
Answer:
Missing data points
Step-by-step explanation:
Given that there are 12 calendar months in a year, and there are clearly defined raining season in some areas which may last for months, following periods of low rainfall or zero precipitation, the sample should include all the months of the year so as to ensure, that the effect that causes rainy season such as the landward direction of moist air from the sea or the seaward of air during periods of dry season.
Other possible causes includes;
Heteroscedasicity
This occurs when the variability of the dependent variable is not constant with regards to the independent variable
Multiple linear regression
The relationship between rainfall and air pressure as well as other factors is a multiple linear regression
Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?
Answer: Hi!
To find the distance of the point from each axis, all we have to do is look at the x and the y coordinates of the points. If we wanted to find the distance that point P was from the x axis, we would look at our y - coordinate:
(x, y) = (3, 4) So, point P is 4 units away from the x -axis.
Now we need to look at the x - coordinate to find the distance that point P is from the y axis:
(x, y) = (3, 4) So, point P is 3 units away from the y - axis.
Hope this helps!
The Robinson family goes to the library. There are 5 people in the
family. Each person borrows 2 books. How many books does the
family borrow in all?
What is the unknown in this problem?
number of people in the family
number of books for each person
number of books in all
Answer:
10 books
Step-by-step explanation:
5 × 2 = 10
unknown in this problem is number of books in all
which one is greater -8.652 or -7.045
Answer:
-7.045 is greater
Step-by-step explanation:
Because -7.045 is closer to 0
Answer:
-7.045
Step-by-step explanation:
44% is equivalent to what fraction in reduced terms?
Answer:
44/100 will be reduced to 11/25
Step-by-step explanation:
Answer:
11/25
Step-by-step explanation:
First, we know 44% can be changed to 44/100, since 44 is 44% is 100.
Now, we can simplify 44/100:
44/100
= 22/50
= 11/25
So, 44% is equivalent to 11/25
I NEED HELP FAST PLEASE
Answer:
the correct answer is 1st one
Write an inequality for the following statement. x is less than 2
A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
1/8 of a kilogram of couscous.
Step-by-step explanation:
With the information given, to be able to determine the kilograms of couscous that each person gets, you have to divide 1/4 kilogram that is the amount that the man has by 2:
[tex]\frac{1}{4}[/tex]÷2= [tex]\frac{1}{4}[/tex]*[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{8}[/tex]
According to this, the answer is that each person gets 1/8 of a kilogram of couscous.
Problem IDPRAQT48 At the beginning of a trip, a car's gasoline tank contained 14 1/5 gallons of gas. At the end of the trip, it contained 8 2/3 gallons. How many gallons of gas did the car use?
Answer:
5 8/15 Gallons
Step-by-step explanation:
Step 1: Change mixed numbers into improper fractions.
14 1/5 = 71/5
8 2/3 = 26/3
Step 2: Change the improper fractions to have the same denominator.
71/5 = 213/15
26/3 = 130/15
Step 3: Subtract
213/15 - 130/15 = 83/15
Step 4: Simplify
83/15 = 5 8/15
Hope this helps! :D
Answer:
i need points sorry :D
Step-by-step explanation:
Simplifying two rational expressions, matching them with their equivalent simplified forms. Please helpppp! 23 pts.
The simplifed versions of the eqaution are attached below:
Select two ratios that are equivalent to 6 : 10. Choose 2 answers.
Answer:
20:12
32:50
Step-by-step explanation:
all you need to do is multiply each one by how ever number you want them u get you answer then u just choose one.
Answer:
3:5 and 12:20
Step-by-step explanation:
you have to find a number that can divide into both 6 and 10 for example 2 can divide into both and you can multiply 2 both
75% of the M&Ms in a bag are red. There are 36 red in the class. How many M&M the
bag?
Answer:
48
Step-by-step explanation:
Let x be the total number of M&Ms in the bag.
0.75x = 36 because 75% of the M&Ms are red and there are 36 red M&Ms.
We can divide both sides by 0.75, getting x = 48.
Therefore, there are 48 M&Ms in the bag.
a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front spocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer:
3 : 1
Step-by-step explanation:
ratio = front on front : teeth on rear = 36 : 12 = 3 : 1
Brainlist! :c y no one helping
For which function is f(-x) = f(x)?
(A) f(x) = sqaure root x
(B) f(x) = 2x
(C) f(x) = x2
(D) f(x) = x2
(E) f(x) = 2^x
Answer:
C and D are same options
(D)[tex] f(x) = x^2 [/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} \\ plug \: x = - x \\ f( - x) = {( - x)}^{2} = {x}^{2} \\ f( - x) = f(x)[/tex]
PLEASE HELP which of the following is an infinite set ? A. the set of lessons in this course B. the set of even numbers from 0 to 10 C. 10 Billion D. the set of integers E. the null set F. none of the above
Answer:
I think it's D.
I'm 85% sure.
Answer:
yeah no doubt
d) is correct option...
brain list me plzzz
In the figure, the segment is parallel to one side of the triangle. The ratio of x to 16 is
a.1/2
b.1
c.2
d.3
A)
Step-by-step explanation:
6/12=x/16
12x=96
x=8
6/12=8/16
simplified to 1/2
Therefore, the answer is A)
I need the answer ASAP!:/
Answer:
-2
Step-by-step explanation:
At first, you might think that -5 is bigger than -2 because 5 > 2, right? Actually, no, that's not how it works. The "rules" for numbers are flipped when you are dealing with negative numbers, so therefore, -2 is bigger. Basically, what I'm saying is that the smaller the number after the negative sign, the bigger the number is and vice versa.
Answer:
Answer is - 2
Step-by-step explanation:
Because in case of negative numbers the number which is smaller in negative no is bigger in negative
numbers I hope you understand....Mark me as brainliest
What is the answer to the equation 2x = -10
Answer:
-5 homie
Step-by-step explanation:
-5 times 2 is -10
module,string,battery,array.(find the odd man out)
Answer:
string
Step-by-step explanation:
beacuse module,battery,array are same
here is my question
Answer:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
A linear function is arranged in or extending along a straight or nearly straight line.
So if the numbers keeps increasing, which it is, it will be rising in an almost complete straight line on a graph. That means it is a linear function because the numbers keep increasing.
Brainliest for whoever gets this right!
Make x the subject of the formula
a(x-b)=a^2+bx
Answer:
[tex]\bold{x=\dfrac{a^2+ab}{a-b}}[/tex]
Step-by-step explanation:
[tex]\bold{a(x-b)=a^2+bx}\\\\\bold{ax-ab=a^2+bx}\\\\{}\ \ +ab\qquad+ab\\\\\bold{ax\ =\ a^2+bx+ab}\\\\ -bx\qquad-bx\\\\\bold{ax-bx=a^2+ab}\\\\\bold{(a-b)x\ =\ a^2+ab}\\\\\div(a-b)\quad\ \,\div(a-b)\\\\ \bold{x=\dfrac{a^2+ab}{a-b}}\qquad\qquad\qquad a\ne b[/tex]
difference between non professional and semi professional human resources
Answer:
The difference between non professional and semi professional human resources are as follows,
Step-by-step explanation:
non professional human resources are that group of people who have not attended any skills such as sweeper,etc.
semi professional human resources are that group of people who have attended skills and training but haven't experienced in any sector such as assistant pilot , assistant engineer, etc
(1) Steve found an orange caterpillar and a green caterpillar in his backyard. The green
caterpillar was 2/3 of an inch long and the orange caterpillar was 7/12 of an inch long. How
much longer was the green caterpillar than the orange caterpillar?
Answer:
5/3
Step-by-step explanation:
7/3 - 2/3 = 5/3, Hope this helps!
Solve the following equation for the variable.
x + 7 = 12
Answer:
x=5
Step-by-step explanation:
i took 12 and subtracted 7 to see what i got and to check my answer i added 5 to 7 to see if i got 12
Find the midpoint of the line segment between the points
(2,5) and (-4, 9).
Answer:
The midpoint is (-1,7)
Step-by-step explanation:
To find the midpoint
Add the x terms together and divide by 2 to get the x coordinate
(2+-4)/2 = -2/2 =-1
Add the y terms together and divide by 2 to get the y coordinate
(5+9)/2 = 14/2 =7
The midpoint is (-1,7)
The ratio of the numerator and denominator of a rational number is 2 : 7 and
if 4 is added to the numerator and 2 is subtracted from denominator, the
rational number becomes 10
19
. Find the original rational number.
Answer:
6/21.
Step-by-step explanation:
let the rational number be 2x/7x.
2x + 4 / 7x - 2 = 10 /19
Cross multiply:
19(2x + 4) = 10(7x - 2)
38x + 76 = 70x - 20
96 = 70x - 38x
32x = 96
x = 3.
So the rational number is 2*3/ 7*3
= 6/21.
the market price of an articles is rs 4000. if the price of the aricle including13 % vat is rs 3616 . find the dis.. percent given to it
Step-by-step explanation:
Answer: see in the picture.
I hope it helps...
Una carraca contiene 2’5 decalitros de agua. ¿cuantas botellas de medio litro se necesitan para vaciar la garrafa? SI cada botella se vende a 0’35€,¿ cuánto dinero se obtiene en total ?
Ayudarme pls
the sum of four consecutive odd numbers is 368 find the numbers
Answer:
the four consecutive numbers are 89, 90, 91, 93.
Step-by-step explanation:
let the four consecutive numbers be x, x+2, x+4, x+6
according to the condition in the question
x+x+2+x+4+x+6=368
4x+12=368
4x=356
x= 89
So, the numbers are 89, 90, 91, 93.
hope this will help :)