A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord 36 , the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord 25 this us What is the constant of proportionality in her equation? Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.
Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3
Given:
The system of equation is
[tex]2x+y=8[/tex]
[tex]x-y=10[/tex]
To find:
The value of the system determinant.
Solution:
If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is
[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]
[tex]D=a_1b_2-b_1a_2[/tex]
The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].
Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].
[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]
[tex]D=(2)(-1)-(1)(1)[/tex]
[tex]D=-2-1[/tex]
[tex]D=-3[/tex]
The value of the system determinant is -3. Therefore, the correct option is C.
Answer:
-3
Step-by-step explanation:
2x+-3=8
x-3=10
someone please help me
Answer:
Option B (2 in the blank)Step-by-step explanation:
Given function:
f(x) = 2x² - 5x + 7The leading term is 2x², the leading coefficient is 2, this is positive.
The graph opens upward.
Correct option is B.
False, because 2 > 0Option B is correct trust me my guy
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Solve the system by substitution.
y= 4x+22
y= −7x
Answer:
x= -2
x= 14
Step-by-step explanation:
Hope this is useful! have a wonderful night or day, God bless you!
find the surface area of the prism. 13.5in 9in 9in 10in
Answer:
I got the same answer
Step-by-step explanation:
Answer:
41in
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Answer:
c.
Step-by-step explanation:
for this peoblem, an open dot would be used to indicate >. so in this, the arrow would be moving right to indicate a positive change in the number with the open dot to insight that it is greater than the original number.
6. Petra visited the Empire State Building, which is approximately 1454 ft tall. The
scale of the model she bought is 1 in = 200 ft. What is the height of the model in
inches?
Answer:
Below.
Step-by-step explanation:
1454 / 200
= 7.27 inches.
I don't know how to answer this
Answer:
when the input is 3 the output is 1
Step-by-step explanation:
inputs would basically be the x coordinates while outputs are the y coordinates. when you put in the x coordinate of 3, the y coordinate of 1 is what shows up as the output. (3,1) are the coordinates on the line
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
plzzzzzzzzz
Answer:
2 13/15
43/15
Step-by-step explanation:
Plz, answer this question plz!
Plz, answer this question plz!
Answer:
24
Step-by-step explanation:
4 x 3 x 2 x 1 = 24
or P(4,4) = 4! = 24
can i please have help on this q thank you
Answer:
20
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
[tex]\frac{x}{4}-1=4[/tex] {Add 1 to both sides}
+ 1 = +1
[tex]\frac{x}{4}[/tex] = 5 {Multiply both sides by 4}
[tex]\frac{x}{4}*4=5*4\\\\[/tex]
x = 20
Plz hurry will mark brainlyest.
Answer:62
Step-by-step explanation:
analisis School 4 out of 10 students choose basketball as a sport like to watch and three out of five students choose football is the ratio of students who choose basketball for 2 to 10 equivalent to the ratio of students who chose football 3 to 25. Yes or No
Answer:
Pos sabe aaaaaaaaaaaaaaaaaaaaaaaa
Write an equation of the line with the given slope, m, and y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:?
Step-by-step explanation:
Answer:
ur bad
Step-by-step explanation:
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The point (-10,4) is on the graph of which of these functions? Select ALL that apply.
===========================================================
Explanation:
We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.
------------------------------
A)
y = -x^2 + 6
y = -(-10)^2 + 6
y = -100 + 6
y = -94
We don't get y = 4, so we cross choice A off the list.
The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.
------------------------------
B)
y = (-1/2)*x - 1
y = (-1/2)*(-10) - 1
y = 5 - 1
y = 4
We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.
------------------------------
C)
y = (-1/10)*x - 3
y = (-1/10)*(-10) - 3
y = 1 - 3
y = -2
Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.
The point (-10,-2) is on the line instead of (-10,4)
------------------------------
D)
y = (1/10)x + 5
y = (1/10)*(-10) + 5
y = -1 + 5
y = 4
Choice D is one of the answers
------------------------------
E)
y = (1/5)*x^2 - 16
y = (1/5)*(-10)^2 - 16
y = (1/5)*(100) - 16
y = 20 - 16
y = 4
Choice E is one of the answers
------------------------------
An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.
-2/8, -0.2, -3/7 from least to greatest???
Answer:
-3/7, -2/8, -0.2
Step-by-step explanation:
-0.2 = -1/5
We have -3/7, -2/8 and -1/5
For positive b and d:
a/b < c/d if and only if a*d < c*b
-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true
-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true
so we get -3/7 < -2/8 < -0.2
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
Identify the percent of change as an increase or a decrease: 1/3 to 2/3
Answer:
100% increase
Step-by-step explanation:
I need help and a explanation
Answer:
Step-by-step explanation:
12(10/100)=$1.20
what is the probability of rolling a dice twice and getting a six?
[tex] \huge \boxed{ \fcolorbox{black}{aqua}{Answer}}[/tex]
There are a total of 6 x 6 = 36 possible outcomes when a fair die is rolled twice. Of the 36 possible outcomes, there are 6 doubles: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6. Thus, the probability of getting a double is 6/36 = 1/6.
Use the tape diagram below to help visualize 1/3 being devided by 5
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
1/15
Decimal Form:
0.06
What is the area of the triangle below (in square units)?
10 mm
90mm
Answer:
450
Step-by-step explanation:
Answer:
450 square units, the formula is bxh divided by 2
Step-by-step explanation:
Write an equation that has an a-value of -2, a b-value of 1, and a c-value of 3.
Answer:
23
ewr
Step-by-step explanation:
What happens to the inequality sign when you multiply or divide by a negative
number?
Answer:
Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!
Step-by-step explanation:
Answer:
It switches sides
Step-by-step explanation:
Example 2<4, 2<4(-2)=2<-8
Plzzzzzzz helppp i will give brainliest if right
Answer:
1.) 20 square inches
2.) 4.16
3.) (-1, -5) (2, -5)
Step-by-step explanation:
Why is it important to include a conclusion at the end of an argument? to answer a question to restate the claim to introduce an idea to show understanding
to restate the claim
Ms. Abreau is flying to Florida for the 90° Angle Conference, where the temperature s just right. Her plane is 1200 feet in the air and the runway is 3400 feet horizontally away. What is the angle of depression formed from the plane to the runway ? Round to the nearest tenth if necessary and just the number please in your answer, we know it is degrees.
Answer:
19.4 degrees
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
Given
Height of plane from the ground= 1200 = adjacent
Horizontal distance = 3400ft = Adjacent
Required
angle of depression theta
tan theta = opp/adj
tan theta = 1200/3400
tan theta = 12/34
tan theta = 0= arccos.3529
theta= (0.3529)
theta = 19.4 degree
Hence the angle of depression is 19.4 degrees
PLZ HELP I WILL GIVE BRANLIEST
Myrna wants to know how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.
3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2
The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?
A. All middle school students own jeans.
B. The average middle school student owns around two pairs of jeans.
C. Most seventh-grade students prefer cargo pants to jeans.
D. An average middle school student owns three or more jeans.
Answer: B-The average middle school student owns around two pairs of jeans.
Step-by-step explanation:
HELP ME PLEASEE!!!!!!ITS DUE TODAY!!
Answer:
86.5, 52, -2.9, -11.6
Step-by-step explanation:
The intervals are same amounts on number 1 and 2, and for 3 and 4. But different than the other group
Find the equation of the line.
Use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0
Answer:
C. 18
Step-by-step explanation:
Inverse of 1/3 = 3
3 x 6 = 18
18 flowerpots can be filled with these 6 bags.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Brianna has 6 bags of soil.
Filling one flowerpot requires 1/3 of a bag of soil.
So, the number of flowerpots filled using 6 bags
= 6 / (1/3)
= 6 x 3
= 18 pots
Learn more about Unitary Method here:
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