2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Solution:-[tex]\sf{z = kxy}[/tex]
[tex]\sf\rightarrow{16=k(4)(6)}[/tex]
[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]
Answer:-The equation of variation is,
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]
[tex]{\large{——————————————————}}[/tex]
#CarryOnMath⸙
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Answer:[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]
Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
What is the distance between these two points?
units
Step-by-step explanation:
the distance between these two points is 11 units
What is the volume of this container 4 ft2 2 ft3 2 ft2 4 ft3
Answer:
2 [tex]ft^{3}[/tex]
Step-by-step explanation:
volume of a cuboid = length * breadth * height
= 2*1*1
=2 [tex]ft^{3}[/tex]
Answer:
The volume of container is 2 ft ³.
Step-by-step explanation:
We have,
Length = 1 ft .Breadth = 1 ft.Height = 2 ft.We have Formula, Volume of Cuboid.
[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]
substitute the values
[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]
multiply the values
[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]
Hence, the volume of container is 2 ft ³.
plz anser this nathanmalhotra (if your not them dont anserw) From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?
Answer:
11/10°C
Step-by-step explanation:
7 x 3/10 = 21/10
Temperature at midnight = -1°C
Temperature at 7.00 am = 21/10°C -1°C = 11/10°C
Answer:
1.1°C
Step-by-step explanation:
Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.
Hope this helps!
Form a linear equation in two variables for each of the following :
a) Pak Osman bought x oranges and y apples with a total amount of RM50. He sold an orange and an apple for RM0.60 and RM0.70 respectively. After he sold all the fruits, he earned a profit of RM10.
b) The sum of numbers x and y is five times the difference between the two numbers. The value of x is greater than the value of y.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
What is the mode
of 2, 8, 16, 4,
12, 9, 2?
The mode is the highest frequency data among the given data set is 2.
What is the mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data.
Mode is the highest frequency of any number among data
For example 2,3,5,5,6,5,9,8,5,1
Here mode will be 5 because it has a frequency of 4 remaining all have a lower frequency than 5.
Given the data set is
2, 8, 16, 4, 12, 9, 2
2 has frequency = 2
And remaining all have a frequency as 1
Since 2 has the highest frequency so it will be mode.
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The graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?
The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
What is the general equation of parabola?The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].
Where,
(h, k) are the vertices of the parabola.
According to the given question.
We have two graph.
The blue and red graph both represents the equation of downward parabola.
Since, blue graph represents the equation of downward parabola.
Whose equation is given
[tex]G(x) = 5 - x^{2}..(i)[/tex]
The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]
Where, (h, k) are the vertices of the parabola.
Compare the equation (i) with (ii)
We get
(h, k) = (0, 5) and a = -1.
Now, the red graph which also represents the downward parabola whose vertices are (0, 2)
Therefore, the equation red graph is given by
[tex]F(x) = a(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = 2 - x^{2}[/tex]
Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
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What is the base in 2^8 *
Answer:
For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.
Step-by-step explanation:
Answer:
Base = 2
Step-by-step explanation:
2⁸
Here 2 is the base and 8 is the exponent
What is the slope of the line shown below?
10
O A-4
5
B. -2
ရှိ မရှိ ။
(2,4)
C. 2
10
15
45
O D. 4
10
Answer:
C) 2
Step-by-step explanation:
How do I find Y Im still confused on how to solve Y and if you have any tips please lmk asap. Thank you
Answer:
y = 3
Step-by-step explanation:
Since ABCD is similar to EFGH, therefore, the ratio of their corresponding sides are equal. Thus:
AB/EF = CD/GH
AB = 3
EF = 2
CD = 4.5
GH = y
Substitute
3/2 = 4.5/y
Cross multiply
3*y = 4.5*2
3y = 9
Divide both sides by 3
3y/3 = 9/3
y = 3
somebody help pls im stuck on this one
Answer:
x=77 degrees
Step-by-step explanation:
The angles of a triangle always add to 180 degrees.
26 is already taken up 180-26=154
There are 2 angles left 154/2=77
x=77
A box contains 12 white balls, 6 green balls, and 2 red balls. If a ball is picked
at random from the box, what is the probability that a ball picked is a green ball?
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
12 + 6 + 2
20
[tex]\frac{6}{20}= \frac{6/2}{20/2}=\frac{3}{10}[/tex]
Find the nth term for 3,8,13,18
Answer:
5n - 2
Step-by-step explanation:
3 + x = 8
8 - 3 = 5
5 = x
3 (first term) - 5 = -2
5n - 2
Answer:
nth term = 5n - 2
Step-by-step explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!
I need help in this question
Answer:
the think the answer is €170
because 15000+20/100
= 170The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.
Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.
Given:
The equation of a line is:
[tex]y=5x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=5x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=5[/tex]
Slope of the given line is 5.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.
The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=5(x-3)[/tex]
[tex]y+4=5(x)+5(-3)[/tex]
[tex]y+4=5x-15[/tex]
Subtracting 4 from both sides, we get
[tex]y+4-4=5x-15-4[/tex]
[tex]y=5x-19[/tex]
Therefore, the equation of the required line is [tex]y=5x-19[/tex].
please help i beg i never get these right
Answer:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sin(105^o)[/tex]
Required
Solve
Using sine rule, we have:
[tex]\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)[/tex]
This gives:
[tex]\sin(105^o) = \sin(60 + 45)[/tex]
So, we have:
[tex]\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)[/tex]
In radical forms, we have:
[tex]\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}[/tex]
[tex]\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}[/tex]
Take LCM
[tex]\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}[/tex]
Rewrite as:
[tex]\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Hence:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
The question is in the screenshot
6x - 5y = 70
7x + 2y = 66
Answer:
(10,-2) x=10 y=-2
Step-by-step explanation: I used substitution
What is the slope of the line on the graph below?
5
4
3
4
1
54 321
1 2 3 4 5 X
wy
-
0
Answer:
positive slope
Step-by-step explanation:
when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .
gradient of the line is greater than 0
The slope of the line is m = 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 3 )
Let the second point be Q ( 0 , 1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 3 - 1 ) / ( 1 - 0 )
m = 2
Therefore , the value of m is 2
Hence , the slope is 2
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[tex]x^{2} +2000+15637=56 \\\\what is X\\\\PLEASE HELP[/tex]
Answer:
not defined
Step-by-step explanation:
[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]
Intermediate Algebra, Please help
Answer:
B
Step-by-step explanation:
Other answers look like utter bs
Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units
Answer:
36 pi
Step-by-step explanation:
The radius is 6
A = pi r^2
A = pi 36
Answer:
Area of circle = 36 π square unit
Step-by-step explanation:
To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.
Area of circle = π × r²
where,
r is the radius of circlesubstitute the value
Area of circle = π × ( 6 ) ²
expand the exponent
Area of circle = π × 36
multiply
Area of circle = 36 π square unit
if 1/a+1/b+1/c=1/a+b+c then prove that 1/a^9+1/b^9+1/c^9=1/a^9+1/b^9+1/c^9
Answer:
The given relation is presented as follows;
[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]
Where 'a', 'b', and 'c' are member of real numbers, we have;
a⁹, b⁹, and c⁹ are also member of real numbers
When a⁹ = x, b⁹ = y, and c⁹ = z
By the above relationship, we have;
[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]
Substituting x = a⁹, y = b⁹, and z = c⁹, we get;
[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]
Step-by-step explanation:
30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “Cannot be determined” in place of the rule.
Step-by-step explanation:
∆COT is congruent with ∆NPA
by rule A.S.S (angles, sides, sides)
Answer:
△COT≅△NPA by SSA
Step-by-step explanation:
Lift tickets at the resort cost $28 per day for adults and $19
per day for children under 12. The Scotts skied for 5 days.
A How much did the Scotts pay for lift tickets each day?
B. How much did the Scotts pay for lift tickets altogether?
Answer:
No solution is possible
Step-by-step explanation:
You didn't indicate the number of adults and children.
PLZ ANSWER AND EXPLAIN IN DETAIL !!!!
Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
Hello, someone knows the answer, could you help me thank you please ;(
Answer:
22/33and 14/21
1/3
mark as brainiest please
Which of the following equations is of a parabola with a vertex at (0, 6)?
y = ( x + 6) 2
y = ( x - 6) 2
y = x2 + 6
y = x2 - 6
Answer:
y = x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6) , let a = 1 , then
y = (x - 0)² + 6 , that is
y = x² + 6
An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle
Answer:
The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7
help pls it’s due in 2 hours
Step-by-step explanation:
tan < BCA = x/y = 3/18= 0.1667
< BCA = arc tan 0.1667 = 9.464° => 9.46°
