Answer:
C. 5.2 in.
Step-by-step explanation:
If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
Using Cramer's Rule, what are the values of x and y in the solution to the system of linear equations below? -2x + 3y + z = 7 -4x - y -2z = 15 x + 2y +3z = -7
Answer:
x = -3
y = 1
z = -2
Step-by-step explanation:
-2x + 3y + z = 7
-4x - y -2z = 15
x + 2y +3z = -7
|-2 3 1|
|-4 -1 -2|
|1 2 3|
Determinant of this from online determinant calculator is;
D = 21
For Dx, we have;
|7 3 1|
|15 -1 -2|
|-7 2 3|
Determinant of this from online determinant calculator is;
Dx = -63
For Dy, we have;
|-2 7 1|
|-4 15 -2|
|1 -7 3|
Determinant of this from online determinant calculator is;
Dy = 21
For Dz, we have;
|-2 3 7|
|-4 -1 15|
|1 2 -7|
Determinant of this from online determinant calculator is;
Dz = -42
From creamers rule;
x = Dx/D
y = Dy/d
z = Dz/d
Thus;
x = -63/21
x = -3
y = 21/21
y = 1
z = -42/21
z = -2
Thus,
x = -3
y = 1
z = -2
There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, what is the probability of picking a blue marble?
Answer:
1 / 3
Step-by-step explanation:
Probability can be represented as the amount of desirable outcomes divided by the total number of outcomes.
Because there are 8 + 5 + 2 marbles or 15, it would the total number of outcomes.
The desirable outcomes can be represented as blue marbles, which there are 5 of.
Using this and the formula above, the probability for picking a blue marble is 5 / 15 which simplifies to 1 / 3.
Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
How would I do the last question if the equation of the graph has been given? Could you please explain the last problem step by step if possible?
======================================================
Explanation:
Replace every copy of "w" with "x"
So the function we graph is y = (1500-2x)*x/2
I used GeoGebra to make the graph below. Note the scale on the xy axis. In this case, x is incrementing by 100 while y is incrementing by 50,000. The scale is important so you have a good viewing window. You don't have to have this scale exactly, but something close to it should do the trick. Without the proper scale, you probably won't see the curve at all. You may see a straight line instead, or it may appear completely blank.
You can use Desmos to make the graph. Just keep in mind the scale of course.
Once you have the graph set up, use the max feature of your graphing calculator or graphing software to locate the vertex point. In GeoGebra, the function I used is "Max". I typed in Max(f, 0, 800) where f is the function mentioned earlier. With Desmos, you simply need to click on the curve itself to have the max point show up. Click on the vertex point to have the coordinates listed.
The max point is located at A = (375, 140625) as shown in the diagram below. The x coordinate is the value of "w" that we replaced earlier. So a width of w = 375 feet corresponds to the max area of 140625 square feet.
Side note: later on in your math career, you have the option to use calculus to solve a problem like this. Though for now, we can rely on a graphing calculator to get the job done quickly.
help I will give you brainliest if you do
A projectile is launched into the air following the equation h(t)=-40t^2+200t, where h(t) is the height of the projectile above the ground in feet, and it is the time, in seconds. How much times elapses, in seconds, from the time the projectile is launched to the time the projectile hits the ground?
a)1
b)4
c)5
d)16
Answer:
Step-by-step explanation:
If the position function is
[tex]h(t)=-40t^2+200t[/tex] and we are looking for time when the height is 0, we sub in a 0 for h(t) and solve for t:
[tex]0=-40t^2+200t[/tex] and the easiest way to do this is to factor by taking the GCF of -40t:
0 = -40t(t - 5) and by the Zero Product Property,
-40t = 0 or t - 5 = 0. Solving for t, we get
t = 0 (which is before the object is launched) and
t = 5 (which is how long it takes the object to go from the ground, up to its max height, and then back to the ground again).
Your choice is c) 5
Can someone help me with this math homework please!
General eqn in slope intercept form
y= mx+c--------->(i)
where m is slope and c is the y-intercept.
1. y= -x+3
Comparing the above eqn with (i)
m= -1= slope c=3= y-intercept.
Ans.D
2. y=3x-1
m= 3 and c= -1
AnsB
3.y=x-3
m=1, c= -3
Ans A
4.y= 1-3x
or, y= -3x+1
m= -3 and c = 1
Ans C
Answer:
1D, 2B, 3A and 4C
Step-by-step explanation:
→ The slope of a line is the m and the y - intercept is the last number in the y = mx + c :
- Number 1 requires rearranging, but the answer to that is D
- Number 2 is easily identifiable
- Number 3 requires rearranging, but the answer to that is A
- The last option left is c
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
Solve any question of Coordinate Geometry with.
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What is the value of this variable
9514 1404 393
Answer:
48
Step-by-step explanation:
The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.
(70 +x)/2 = 59
x = 2×59 -70
x = 48
mara is 6, and her cousin Alberto is 20. in how many years will Alberto be twice as old as mara
Answer:
8 years.
Step-by-step explanation:
Mara is 6.
6+8=14
Alberto is 20.
20+8=28
14*2=28.
In 8 years, Alberto will be twice Mara's age.
The orchard just sold 72 apples, which is 12% of the total number of apples they put up for sale. How many apples did they put up for sale?
Answer:
600 apples
Step-by-step explanation:
12%= 72
1%=6
100%=600
The orchard sold 72 apples, which represents 12% of the total number of apples they put up for sale. The total number of apples they put up for sale is 600.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
Given that,
The orchard sold 72 apples.
The 72 apples represent 12% of the total number of apples they put up for sale.
To find out the total number of apples the orchard put up for sale,
use a simple equation.
Let's denote the total number of apples as "x".
According to the given information,
72 apples represent 12% of the total number of apples.
Set up the equation as follows:
12% of x = 72
To solve for x, convert the percentage to a decimal.
12% is equivalent to 0.12.
0.12 x = 72
Now, solve for x by dividing both sides of the equation by 0.12:
x = 72 / 0.12
x = 600
Hence,
The total number of apples they put up for sale is 600.
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Determine which quadratic equations have
1 real solution. Select two that apply.
Answer:
second and fourth has real solution.
Step-by-step explanation:
hope this helps.
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
Teresa tiene 1 chocolate.
Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:
1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.
Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:
2/3 - 1/4
recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:
(4/4)*(2/3) - (3/3)*(1/4)
(a cada fracción la multiplico y divido por el denominador de la otra)
8/12 - 3/12 = (8 - 3)/12 = 5/12
Es decir, Teresa finalmente tiene 5/12 del chocolate.
Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:
1 - 5/12 = 12/12 - 5/12 = 7/12
Ella repartió 7/12 de su chocolate.
La fracción de chocolate que repartió Teresa es 7/12
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]
That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're provided that:
Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.So, the total part she gave is addition of those fractions.
Total part of chocolate Teresa gave = 1/3 + 1/4
LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).
Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]
And their addition is:
[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]
Thus, the portion of the chocolate that Teresa distributed is 7/12.
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What is the nth term of the quadratic sequence
3 11 24 45
9514 1404 393
Answer:
[tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]
Step-by-step explanation:
The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is not a quadratic sequence.
If we assume it is a cubic sequence, a calculator tells us the formula is ...
[tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]
Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,
Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
what is 1*24 equals to
1*24= 24....
when any number is multiplied by one it gines the same no. for eg 241526×1=241526..
doesn't matter how greayer or smaller the number is....
x^4-x^2+x-1 is divided by x-1
Answer:
1
Step-by-step explanation:
What is -4 square root of 12 + the square root of 75 in simplest radical form?
Instructions: Identify the type of sequence and write the recursive rule.
Sequence: −11,−3,5,13,…
Type: Geometric or Arithmetic?
an=an−1 - ?
a1= ?
Answer:
[tex]a_n=a_{n-1}+8,n\geq 1[/tex]
[tex]a_1=-11[/tex]
Step-by-step explanation:
We are given that a sequence
-11,-3,5,13,...
[tex]a=a_1=-11[/tex]
[tex]a_2=-3[/tex]
[tex]a_3=5[/tex]
[tex]a_2-a_1=-3-(-11)=-3+11=8[/tex]
[tex]a_3-a_2=5-(-3)=5+3[/tex]
[tex]a_3-a_2=8[/tex]
Common difference between two consecutive terms is equal.
Hence, the sequence is Arithmetic.
Common difference, d=8
[tex]a_2=a_1+8=-3[/tex]
[tex]a_3=a_2+8=5[/tex]
[tex]a_4=a_3+8=13[/tex]
:
:
:
[tex]a_n=a_{n-1}+8, n\geq 1[/tex]
[tex]a_1=-11[/tex]
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measures 40 units.
The length of the longest side of ∆ABC is units. The ratio of the area of ∆ABC to the area of ∆DEF is .
Answer:
1/100
Step-by-step explanation:
the problem description is not copied fully.
but I think I understand it.
since the ratio of the perimeter is 1/10, so is then also the ratio for each side.
that means the longest side of ABC is 4 units (40/10), right ?
anyway, when the ratio of lengths and distance is 1/10, then the ratio for the area is 1/10×1/10 = 1/100.
because for the area (baseline × height / 2) two lengths have to be multiplied. and that multiplies the scaling factor twice into the calculation effectively squaring it as the area scaling factor.
and 1/10×1/10 = (1/10)² = 1/100
photo, giving brainliest
Answer:
Ruby is sphere
Shriya's is incorrect
Abhishek's is correct
Step-by-step explanation:
Ruby's definition matches a sphere because it is 3D and Shriya's is wrong.
please help!! if you’re good at these i have a few more of them can you continue to help me i’m begging !!
Answer:
Step-by-step explanation:
y = 1/2x + 3
If the relationship between total cost and number of units made is linear, and if cost increases by $1.4 for each additional unit made, and if the total cost of 24 units is $55, find the equation of the relationship between total cost (y) and number of units made (x).
Answer:
y = 1.4x + 21.4
Step-by-step explanation:
Given :
Total cost and number of units made have a linear relationship
Mathematically,
Total cost, y = b * number of units made, x + c
If cost increases by $1.4 for each additional unit, the slope, b = 1.4
If total cost of 24 units = $55
Total cost = 1.4 * number of units made + c
55 = 1.4*24 + c
55 = 33.6 + c
c = 55 - 33.6
c = 21.4
c = intercept
The linear relationship between total cost and number of units made is :
y = 1.4x + 21.4
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
what is the answer to this polynomial (5x-2)^2?
Answer:
Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).
Step-by-step explanation:
Answer:
25x^2 -20x +4
Step-by-step explanation:
(5x-2)^2
FOIL
(5x-2)(5x-2)
25x^2 -10x -10x +4
25x^2 -20x +4
help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
f(x)= |3x+4| + 2
g(x)= 4
find (f + g) (x)
Answer:g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2. In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100.
Step-by-step explanation:
yuhhh babyyyy
USE THE COORDINATES(2,-5)(0,3) OF THE LABELED POINT TO FIND THE POINT-SLOPE EQUATION OF THE LINE
A. Y-2=-4(X+5)
B. Y+5=4(X-2)
C. Y+5=-4(X-2)
D. Y-2=1/4(X-5)
Answer: B
Step-by-step explanation: Y+5=4(X-2) in slope-intercept form is Y=-4X+3