Answer:
[tex]\boxed{\boxed{\sf s=\frac{1}{3}}\sf \:or\:\boxed{\sf s=0.33...}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(s+1\right)-8=6s\left(2-4\right)[/tex]
Expand ( Apply the Distributive Property):-
[tex]\sf 3s-5=-12s[/tex]
Add 5 to both sides:-
[tex]\sf 3s-5+5=-12s+5[/tex]
Simplify:-
[tex]\sf 3s=-12s+5[/tex]
Add 12s to both sides:-
[tex]\sf 3s+12s=-12s+5+12s[/tex]
Simplify:-
[tex]\sf 15s=5[/tex]
Divide both sides by 15:-
[tex]\sf \cfrac{15s}{15}=\cfrac{5}{15}[/tex]
Simplify:-
[tex]\sf s=\cfrac{1}{3}[/tex]
___________________
Hope this helps!
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Simplify the expression.
1
5z + +9y+ +6z-6y
20
4
20
1
5z + +9y+ +6z-6y=
20
(Use the, operation symbols in the math palette as needed. Simplify ya
expression.)
4
20
Answer:
3.7 n^2 + 4n + 2.1
Step-by-step explanation:
2.7 n^2 + n^2 = 3.7 n^2
6n - 2n = 4n
7.8 - 5.7 = 2.1
Answer:
1
5z + 6z = 11z
2
9y + -6y = 3y
3
ANSWER ( 11z + 3y)
Can anybody help me with this?
On 6th day the Blake and Nicole will be on same page
Consider the case of Blake
The initial page number = 40
Number of pages per day = 10
Consider the B is the page number and t is the number day
Then the function will be
B = 40 + 10t
Consider the case of Nicole
The initial page number = 10
Number of pages per day = 15
Consider the N is the page number and t is the number day
Then the function will be
N = 10 + 15t
Draw the graph using the functions
Hence, on 6th day the Blake and Nicole will be on same page
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How would I get the slope
the slope between the points (-4,4) (-15,2)
To calculate the distance between two points, we have to:
[tex]\large\displaystyle\text{$\begin{gathered}\sf The \ points\ are \left \{ {{A=(x_1,y_1)} \atop {B=(x_2,y_2)}} -\to\boldsymbol{\sf{m=\frac{\Delta y}{\Delta x }\iff \ m=\frac{y_2-y_1}{x_2-x_1} }} \right. \end{gathered}$}[/tex]
We have that the points to calculate the slope are: (x₁ = -4, y₁ = 4) and (x₂ = -15, y₂ = 2)
Add the data in the formula:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{y_2-y_1}{x_2-x_1} } \end{gathered}$}} \\ \\ \boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{2-4}{-5-(-4) } } \end{gathered}$}} \\ \\ \boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{-2}{-11} } \end{gathered}$} }}[/tex]
La pendiente entre los puntos (-4,4) (-15,2) es -2/11.What i the ditance between (−1, 4) and (5, 4)?
Draw a line connecting the point. Thi i a
line. The point have the ame. To find the ditance, ue the expreion. The ditance between the point i
unit
when the point (-2, 6) is reflected across the y-axis it will be located at where
The point (-2, 6) is reflected across the y-axis then the new coordinates of the point are (2, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know when a point (x, y) is reflected along the y-axis (x, y) becomes
(- x, y).
Given, A point (-2, 6) is reflected across the y-axis.
∴The new coordinates of the point are (2, 6).
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Rectangle WXYZ is shown. W Z Y If WY=12m +7 and XZ = 16m-43, what is the value of m? Enter the answer in the box in decimal form. Use "." for the decimal point. X m=
The value of the variable m in the rectangle is given as follows:
m = 12.5.
How to obtain the measure of variable m?The segments from the rectangle, and their lengths, are given as follows:
WY = 12m + 7.XZ = 16m - 43.They are opposite vertices of the rectangle, as they do not have any common vertex.
Since they are opposite vertex, it doesn't matter if these segments are bases, heights or diagonals, they will have the same length.
Thus the numeric value of variable m is obtained as follows:
WY = XZ
(as they have the same length).
Replacing the measures of each of these segments:
12m + 7 = 16m - 43
12m - 16m = -43 -7
-4m = -50
4m = 50 (multiplication by -1).
m = 50/4
m = 12.5.
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Got a question in connexus 8th grade advanced Math XL
The words that describe the pattern that can be used to complete the table is that the number of lines is double the number of figures, which indicates that the correct option is option A
A. The total number of lines y is two times the figure number x
The equation that represents the relationship is; y = 2·xWhat is an equation?
An equation is a mathematical statement that connects two expression with an equals sign.
The number of lines in one figure = 2 linesThe number of lines in two figures = 4 linesThe number of lines in 3 figures = 6 linesTherefore, the number of lines in n figures = 2·n linesThe pattern that can be used to complete the table is therefore;
The number of lines, y, is twice the number of figures, x
The relationship expressed mathematically as an equation is presented as follows;
y = 2·x
The completed table is presented as follows;
Figure Number, x [tex]{}[/tex] Total Lines, y [tex]{}[/tex] Ordered pair
1 [tex]{}[/tex] 2 (1, 2)
2 [tex]{}[/tex] 4 (2, 4)
3 [tex]{}[/tex] 6 (3, 6)
4 [tex]{}[/tex] 8 (4, 8)
5 [tex]{}[/tex] 10 (10, 5)
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give an explanation please thank you
The statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.
Let us understand about the given graph:
The given graph is a graph of a cube root function.
So, the statement of Noelle, “The graph represents the function [tex]f(x)=\sqrt[3]{x}[/tex]." is correct.
So, option A is not correct.
The inverse of a cube root function is a cubic function.
So, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect.
So, option B is correct.
The domain and range of the cube root function are all real numbers.
So, the statement of Julian, “The domain and range of the function is all real numbers.” is correct.
So, option C is not correct.
From the graph, we can see f(-1) = -1.
So, the statement of Yemen, “The value of f(-1) = -1.” is correct.
So, option D is not correct.
Thus, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.
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Triangle PQR with vertices P(-13,-3) Q(-7,3) R(-6,-2) 270 degrees counterclockwise rotation about C(-5,-4)
Check the picture below.
A graduated cylinder has 7mL (cm³) of water placed in it. An irregularly shaped rock is then dropped in the graduated cylinder and the volume
of the rock and water in the cylinder now reads 9mL (cm³). The mass of the rock dropped into the graduated cylinder is 24 grams
Find the volume of the rock dropped into the graduated cylinder.
V=
Hint: Do not forget your units!!!
Find the density of the rock dropped into the graduated cylinder.
D-
Hint Do not forget your units!!!
Blank 1:
Blank 2:
well, we had a cylinder with 7mL of water, in the rock goes and kaboom the volume for the cylinder and its contents is 9 mL, well, the displaced water from the rock is equivalent to its volume, as Archimedes would properly point out, so since it was 7mL and now is 9mL well, the extra 2mL is the volume of the rock :).
sidenote: Archimedes is Da Bomb!!!!
now, we know the rock weights 24 grams, and we also know its volume is 2mL, so its density is simply g/mL, or [tex]\cfrac{24g}{2mL}\implies 12~\frac{g}{mL}[/tex]
Sarah received three fifths of her sister's book collection. If Sarah received 1
books, how many books did her sister have before giving any to Sarah?
Evaluate 5 (2)² – 6.
5(2)² - 6 =
Which of the functions is represented by the graph
O f(x)=2x²+3
O f(x) = -x² + 3
O f(x) =1/2x² + 3
O f(x) = -1/2x +3
Pls help
Answer:
[tex]f(x)=-2x^2+3[/tex]
Step-by-step explanation:
The vertex is at [tex](0,3)[/tex], so the equation is of the form [tex]f(x)=ax^2+3[/tex].
Using the point [tex](1,1)[/tex] to solve for [tex]a[/tex],
[tex]1=a+3 \implies a=-2 \\ \\ \therefore f(x)=-2x^2+3[/tex]
Need help ASAP please
Answer:
x=22
Step-by-step explanation:
5x+6+3x-2=180
8x+4=180
8x=176
x=22
A pupil wrote:
for all numbers j and k,
(j+k)² = j² + k²
Expand and simplify (j+k)² to show that the pupil is wrong.
Answer:
see explanation
Step-by-step explanation:
(j + k)²
= (j + k)(j + k)
each term in the second factor is multiplied by each term in the first factor , that is
j(j + k) + k(j + k) ← distribute parenthesis
= j² + jk + jk + k² ← collect like terms
= j² + 2jk + k²
Simplify.
1+3²⋅2−5
the answer is either -48, 14, 15, or 27.
Can anybody figure this out for me?
Answer:
h=6+(2t)
Step-by-step explanation:
What are the coordinates of the image of vertex P?
Answer:
P'(-16, 0)
Step-by-step explanation:
You want the coordinates of the image of P(-4, 0) when the figure is dilated by a factor of 4 about the origin.
DilationDilation about the origin multiplies each coordinate by the dilation factor:
P' = 4P
P' = 4(-4, 0) = (-16, 0)
The coordinate of the image point are (-16, 0).
Ezejiofor trekked 2 kilometer in 30minute. How many minute will it take him to trek 5 kilometer
Answer:it will take him roughly 75 minutes or an hour and 15 minutes:)
Step-by-step explanation:
so you take 2 and multiply it by the 30 minuets and then divide 30 by 2 so it will look like this
2x30=60(1 hour)
30÷2=15
now add 60 + 15 and you get
75
A store manager buys 8 T-Shirts and 5 hats for $220. The next day, the manager buys 5 T-shirts and 1 hat for $112.
Part A
Select the system of equations that models the situation.
A. 8t + 5h = 220
t + 5h = 112
B. 13(t – h) = 220
6(t – h) = 112
C. 8t + 5h = 220
5t + h = 112
Part B
How much does each T-shirt and each hat cost?
T-shirt : $
Hat : $
Answer:
Part A: C
Part B: T shirt = $20, hat = $12
Step-by-step explanation:
Part A:
He buy 8 T-Shirts and 5 hats for $220.
He buy another buys 5 T-shirts and 1 hat for $112.
assuming t = tshirt, h = hat, C is the correct answer
Part B:
8t + 5h = 220
5t + h = 112
1. Use second equation to represent h in term of t
h = 112 -5t
2. Replace h in first equation with h from 1.
8t + 5(112 -5t) = 220
8t + 560 - 25t = 220
-17t + 560 = 220
-17t = 220 - 560
-17t = -340
t = -340/-17 = 20
3. Replace t in equation from 1. with t from 2.
h = 112 -5(20) = 112 - 100 = 12
A researcher performs an experiment to test a hypothesis that involves the nutrients niacin
and retinol. She feeds one group of laboratory rats a daily diet of precisely 32 units of niacin
and 22000 units of retinol. She uses two types of commercial pellet foods. Food A contains
0,12 unit of niacin and 100 units of retinol per gram. Food B contains 0,20 unit of niacin and
50 units of retinol per gram. How many grams of each food does she feed this group of rats
each day?
The amount in grams of food A and B she feeds this group of rats each day will be 2200003.84 gm and 1100006.4 gm respectively.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given that, she provides a certain set of lab rats with a daily meal that contains exactly 32 units of niacin and 22000 units of retinol. She uses two different brands of industrial pellet food.
If food A has 100 units of retinol and 0,12 units of niacin per gram.Niacin 0.20 units and retinol 50 units are both included in Food B per gram. The grams of each food she feeds this group A of rats each day is,
=32×0.12+22000×100
=2200003.84 gm
If food B contains 0,20 units of niacin and 50 units of retinol per gram.The grams of each food she feeds this group A of rats each day is,
=32×0.20+22000×50
=1100006.4
Thus, the amount in grams of food A and B she feeds this group of rats each day will be 2200003.84 gm and 1100006.4 gm respectively.
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Find the greatest possible x-coordinate of point A such that for any point B on the y-axis between (-24) and 25, the segment AB has a common point with the line segment PQ, where P(5, -12), Q(5, 9).
Answer:
8.75
Step-by-step explanation:
You want the greatest possible x-coordinate of point A such that for any point B on the y-axis between (-24) and 25, the segment AB has a common point with the line segment PQ, where P(5, -12), Q(5, 9).
GeometryIf we designate the points on the y-axis as X(0, -24) and Y(0, 25), we find that point A must lie in the triangle bounded by lines XY, XP, and YQ. The x-coordinate of the point of intersection of lines XP and YQ will be the greatest x-coordinate that point A can have.
EquationsThe line through points (x1, y1) and (x2, y2) can be written as ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
This equation is readily simplified to general form ax+by+c = 0.
Line XP
(-12-(-24))(x -0) -(5-0)(y -(-24)) = 0
12x -5y -120 = 0
Line YQ
(9 -25)(x -0) -(5 -0)(y -(25)) = 0
-16x -5y +125 = 0
We want the value of x that satisfies these equations. That can be found by subtracting the second equation from the first:
(12 -5y -120) -(-16x -5y +125) = (0) -(0)
28x -245 = 0
x = 245/28 = 8.75
The greatest x-coordinate is x = 8.75.
Your friend is filling out a form that needs her height in all inches. She is 5 ft 8 inches tall. What is her height in inches? Conversion ratio: 1 ft = 12 in
A 60 in
B 68 in
C 13 in
Makayla earned $1,155 in interest from her simple interest account over
the last 5 years. The account pays 1.25% interest annually. How much did
Makayla originally deposit in his account?
Answer:2
Step-by-step explanation:
hello! i really need help
The sales tax is $1.2 and the total cost of the item is $21.2 .
In the question,
it is given that ,
the selling price of the item is $20.
the rate of sales tax is = 6^ ,
so the sales tax can be calculated using the formula
sales tax = 6% of selling price
So , sales tax = 6% of 20
= 0.06 * 20
= 1.2
so , the sales tax is $1.2
the total cost of the item will be = selling price + sales tax
= 20 + 1.2
= 21.2
Therefore , The sales tax is $1.2 and the total cost of the item is $21.2 .
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Work out m and c for the line 2y+3x = -5
Answer:
Step-by-step explanation:
2y=-3x-5
y=-3/2x-5/2
Answer:
Y= -2.5
X= -1.6
Step-by-step explanation:
2y+3x= -5
2y+3(0)= -5
2y= -5
2y÷2=y
-5÷2= -2.5
Y=-2.5
2y+3x= -5
2(0)+3x= -5
3x= -5
3x÷3=x
-5÷3= -1.6
X= -1.6
Assume that the diameter d of a circle is a differentiable function of t, and let C be the circumference of the circle. Find an equation that relates dC/dt and dd/dt.
A. C = πd
B. dC/dt = πd
C. dC/dt = π (dd/dt)
D. dC/dt = πd (dd/dt)
Option C is correct which is dC/dt = π (dd/dt).
According to the question,
We know that the diameter of the circle is half the radius of the circle.
d = r/2
By transferring r to the left-hand side and d to the right-hand side
r = d/2
We also know that circumference of the circle is
C=2πr
C=2πd/2
C=πd
Now we will differentiate on both the side with respect to t and we will get,
dC/dt = π (dd/dt)
Differentiation is a technique for tracking down the subordinate of a capability. Differentiation is a process, where we find the momentary rate of change in capability in light of one of its variables. We usually differentiate with respect to time which is represented as ds/dt.
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What is the value of y in the equation 4+y=-3
Answer:
y=-7
Step-by-step explanation:
just simplify it
4+y=-3
y=-3-4
y=-7
some people claim they can get relief from migraine headache pain by drinking a large glass of ice water resources plan to enlist several people who suffer from migraines and i test
The correct response variable is the amount of pain relief.
Given that,
A tall glass of ice water, according to some, can help migraine sufferers find relief. Multiple migraine sufferers will be recruited by researchers to participate in a test. The individual will either take a placebo pill or a common painkiller when they get a migraine. Additionally, only half of each group will take the pill with water; the other half will sip on a small amount of water. The quantity of pain relief is then reported by participants.
To find : What is the response variable in this experiment.
Explanation :
Response variable or study variable, in general called as dependent variable is the variable of main focus in study. We want to study the changes in explanatory or independent variables are associated with response variable. Sometimes we want to measure the effect of predictors i.e explanatory variables on response variable.
For example in hand, we want to determine whether the drinking ice water is associated with amount of pain relief. Hence in this study, response variable is the amount of pain relief.
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