Answer: 0.714286
turn 7/10 into .7 and divide normally
given a-2b=8, 4a+3b= 21; prove b= -1
please give a step by step answer
For the system of the equation given we have proven that b = -1.
Given that,
a - 2b = 8
4a + 3b = 21
To prove b= -1
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
a - 2b = 8 - - - - - - - (1)
4a + 3b= 21 - - - -- - - (2)
From equation 1
a = 8 + 2b
put a in equation 2
4 (8 + 2b) + 3b = 21
32 + 8b + 3b = 21
11b = 21 - 32
11b = -11
b = -1
Hence proved.
Thus, for the system of the equation given, we have proven that b = -1.
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Jawad has seven rocks.
The total weight of all seven rocks is 5 kilograms.
6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams, of the other rock.
I performed a transcriptome analysis (Clariom D Array, Affymetrix) of two groups of subjects (human tissue) by using Transcriptome Analysis Console (TAC; Affymetrix) and Partek software and same cutoff (n=20; FC greater than 1.5 and P value less than 0.05). However, the overlap between differential expressed genes between both software was quite low.
someone has some comment about why this may be happening?
What is 70 percent of30
A quadrilateral has
no pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)
Answer:
parallelism
Step-by-step explanation:
I'm just looking also the answer!
The diagram below shows an angle, 0, graphed in the xy -coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT
and RM are radii of the unit circle centered at the origin R (0,0).
The x-coordinate of point M is -1/2. What is the measure of 0 to the nearest thousandth of a radian.
Answer:
Step-by-step explanation:
for this problem u need the unit circle.
In the unit circle there is a point with -1/2 as the x value that is at 240 degrees.
then you convert 240 degrees to radians --> 240 X pi/180 = 4.189
the unit circle is below, you needa remember for the test
Good luck on your EOC, i'm doing it too
A robin perched in a tree 40 feet above sea level. Directly below the robin, a seagull is flying 13 feet above sea level. Directly below the birds is a clownfish, swimming 33 feet below sea level.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete. However, I'll solve on a general terms.
Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish
The given parameters are:
[tex]Robin = +40ft[/tex]
[tex]Seagull= +13ft[/tex]
[tex]Clownfish= -33ft[/tex]
+ represents above sea level while i represents below
The distance is then calculated as:
[tex]Distance = Robin - Clownfish[/tex]
[tex]Distance = +40ft - (-33ft)[/tex]
[tex]Distance = +40ft +33ft[/tex]
[tex]Distance = 73\ ft[/tex]
What is the slope of the line which passes through the points (4,-5) and (3,7)?
Answer:
m = -12
Step-by-step explanation:
Formula:
m = (y2 - y1) / (x2 - x1) => plug in points
(4,-5) and (3,7)
HELP PLEASE
Consider the line y = 6x-7. Find the equation of the line that is perpendicular to this line and passes through the point (8, 3). Find the equation of the line that is parallel to this line and passes through the point (8, 3).
Answer:
y = (-x + 8)/6
Step-by-step explanation:
y =6x-7
gradient of perpendicular to the line above is -1/6.
using the point (8,3)
y - y1 = m(x - x1)
y - 3 = -1/6(x - 8)
6y-18 = -1(x - 8)
y = (-x + 26)/6
Solve the inequality: I will give brainliest. Explain in detail please!
p/8 ≥ -5
A.) p ≥ 40
B.) p ≥ 40
C.) p ≥ -13
D.) p ≥ -40
Answer:
plz give me BRAINLIEST
Step-by-step explanation:
c. p >-13
The circle shown has a radius of 12 mm
12 mm
What is the circumference of the circle?
A. 6 mm
B. 12 mm
C. 24 mm
D. 362 mm
Each square on a grid represents one unit on each side.
Calculate the slope of graph D. Explain or show your reasoning.
Answer:
Slope = -4
Step-by-step explanation:
The slope is negative because the line is going down.
The line goes down 4 times and goes right once = 4
The required slope of the given graph would be - 4 which is a negative slope.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph is given in the question
Each square on a grid represents one unit on each side.
We have to determine the slope of the given graph D
According to the given graph, we take two points (4, 12) and (7, 0)
The slope of a line is defined as the gradient of the line.
It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Slope m = (0 - 12)/(7 -3 )
Slope m = -12/3
Slope m = -4
Thus, the required slope of the given graph would be - 4
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What is the quotient of 25.95 divided by 50.25? *
Answer:
Quotient: 2
Remainder: 0
50 = 25 × 2 + 0
Step-by-step explanation:
Answer:0.516
Step-by-step explanation:You need to divide 29.25 by 50.25.
Find the slope between the points (6,10) and (4, -2)
Answer:
The slope is 6/1 or 6
Step-by-step explanation:
what’s the answer
r+11+ Br= 29
r= 18/1+b
B= -1 + 18/r
Simplify the expression.
3.7 - 4.7n - 3n + 8
In a research lab, a cell biologist is growing a strain of bacteria under two different conditions. Culture A had an initial population of 200 and doubles every hour. Culture B had an initial population of 819200 but has been contaminated. Its population is now decreasing by half every hour. When will the two cultures have an equivalent population? Solve using an exponential equation.
Answer:
They will have the same population after 6 hours
Step-by-step explanation:
The general exponential equation format for this is;
P = P_o(e^(kt))
For Culture A, we are told that it had an initial population of 200 and doubles every hour.
Thus;
After 1 hour, P = 400
After 2 hours, P = 800
After 3 hours, P = 1600
Thus;
At t = 1, we have;
400 = 200(e^(k × 1))
400/200 = e^(k)
e^(k) = 2 - - - (eq 1)
At t = 2, we have;
800 = 200(e^(k × 2))
800/200 = e^(2k)
e^(2k) = 4 - - - (eq 2)
To find k, let's divide eq 1 by eq 2.
(e^(2k))/e^(k) = 4/2
e^(2k - k) = 2
e^(k) = 2
k = In 2
k = 0.6931
Thus;
P = 200e^(0.6931t)
For Culture B, we are told that it had an initial population of 819200 but has been contaminated. Its population is now decreasing by half every hour.
Thus;
After 1 hour, P = 409600
After 2 hours, P = 204800
After 3 hours, P = 102400
Thus;
At t = 1, we have;
409600 = 819200(e^(k × 1))
409600/819200 = e^(k)
e^(k) = 0.5 - - - (eq 1)
At t = 2, we have;
204800 = 819200(e^(k × 2))
204800/819200 = e^(2k)
e^(2k) = 0.25 - - - (eq 2)
To find k, let's divide eq 1 by eq 2.
(e^(2k))/e^(k) = 0.25/0.5
e^(k) = 0.5
k = In 0.5
k = -0.6931
Thus;
P = 819200(e^(-0.6931t))
We want to find the time when the 2 cultures will have the same population. Thus;
200e^(0.6931t) = 819200(e^(-0.6931t))
Arranging, we have;
(e^(0.6931t))/(e^(-0.6931t)) = 819200/200
e^(0.6931t - (-0.6931t) = 4096
e^(1.3862t) = 4096
1.3862t = In 4096
1.3862t = 8.3178
t = 8.3178/1.3862
t ≈ 6 hours
You want to buy some noodles. A 9 -ounce package costs $3.15. A 15-ounce package costs $5.55. A 24-ounce package costs $7.92. Which package is the best buy?
PLEASE ANSWER QUICKLY
Answer:
A 14-ounce package that costs $5.46
Step-by-step explanation:
hope it helps ;)
what is beter,
10 Pens for $8.99.
or
25 Pens for $19.75.
Answer:
the 2 one is better because you get more pens
Step-by-step explanation:
you get more pens
Question 6
What does the relationship between the slopes of corresponding line segments in the prelmage and in the image imply about the line segments?
In other words, what do you know about two or more line segments that have the same slope?
Therefore, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.
What is the slope of line?
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run.
When the two or more line segments that have the same slope are parallel to each other.So, the lines graphed by a system of equation is also same slope which would be parallel to each other.
Hence, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.
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4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is
leaving the intersection at a rate of 2 feet per second and bike B is leaving the
intersection at 3 feet per second. How fast is the distance, in feet per second between
them changing after 5 seconds?
Answer:
[tex]\sqrt{13}[/tex]
The rate of change of distance between two cars at the given time is required.
The required rate of change is [tex]\sqrt{13}[/tex] feet/s
Rate of changea = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]
b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]
c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]
Applying Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
Differentiating with respect to time
[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]
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B
С
Move vertex D and observe how the measures change.
Make a conjecture. Which of the following statements appear to be
true? Check all that apply.
VX
AC and BD are always equal.
AE and CE are always equal.
BE and DE are always equal.
AC and BD always bisect each other.
AC and BD are always perpendicular
A
D
AE = 40 units
CE = 40 units
BE = 32 units
DE = 32 units
Check
Intro
Answer:
Step-by-step explanation:
it’s B,C,D
A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $34 and each pair of sweatpants costs $15. Write an algebraic expression to represent the total cost if want sweatshirts and y players want sweatpants.
Answer:
34+15y
Step-by-step explanation:
Let x players want a sweatshirt and y players want sweatpants.
Each sweatshirt costs $34 and each pair of sweatpants costs $15.
Cost of sweatshirt = 34x
Cost of sweatpants = 15y
Total cost = cost of sweatshirt + cost of sweatpants
= 34x+15y
Hence, the total cost is "34x+15y".
Use the Zero Product Property to find the x-intercepts for y=3(x−5)(2x+3)
Answer: The X intercepts are 5 and -3/2
HELP PLZ Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
69% 42% 57% 83%
Answer:
D
Step-by-step explanation:
Just took the quiz
The confidence interval that would produce the widest interval when estimating the mean of a population should be 83%.
What is a confidence interval?It refers to the range of values where the sample should be watched also in this the value should be determined that correctly represent the population.
Also, the more the confidence interval the more should be the widest interval.
Therefore, the last option is correct.
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one band was paid $14000 for a concert
Answer:
cool, but what is the question?
2:4:2 in simplest form ratio
Answer: 1 : 2 : 2
Step-by-step explanation:
2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.
What operations would you perform, and in what order would you perform them to solve
1 ÷ 5n = 20?
Answer:
cross multiplication
Step-by-step explanation:
1 5n
_ _
_
Regi has £9 in her purse.
She spends a £5 note and gets £3 back in change.
How much is in Regi's purse now?
Answer:
7 hope this helps
Step-by-step explanation:
9 - 5 = 4 + 3 = 7
6. What is the smallest whole number that is a solution to 3x > 21?
A6
B. 7
C. 8
D.9
Answer:
probs c
Step-by-step explanation:
c bc 3x>21 is x>7
the smallest whole number out of the multiple choice answer that fits into the solution is 8
Answer:
C. 8
Step-by-step explanation:
To answer you must first solve the inequality, do this by dividing both sides by 3. [tex]\frac{3x}{3} > \frac{21}{3}[/tex], which simplifies to x > 7. This means that x must be greater than 7 without being 7 because the inequality does not use the "or equal to" sign. Therefore, 8 must be the correct answer because it is the smallest whole number that is larger than 7.
Help meeeee someone I will give u 5 point
Answer:
Length of the ladder = 9.5 feet
Step-by-step explanation:
Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,
AB = 9 feet
BC = 3 feet
By applying Pythagoras theorem in the right triangle,
AC² = AB² + BC²
AC² = 9² + 3²
AC² = 81 + 9
AC = √90
= 9.486 feet
≈ 9.5 feet
Therefore, length of the ladder is 9.5 feet.