Answer:
[tex]\lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
What does the standard form of a linear equation require?
A)No fractions
B)A must be negative
C)B must be positive
Answer:
the standard form of a linear equation required is B must be positive
Which expression can be simplified as 1/18 n?
Solving systems of equations by graphing. how do you do this
Answer:
Solve systems of equations by graphing
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Example
[tex]\left \{ {{y=2x+2} \atop {y=x-1}} \right.[/tex]
Graph the equations in a coordinate plane
The two lines intersect in (-3, -4) which is the solution to this system of equations.
Step-by-step explanation:
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.
Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost? Write an equation and show your work.
Answer:
9
Step-by-step explanation:
(70-16)/6=9
/ = division
what is the exponent for the expression 6x6x6x6x6x6x6?
Answer:7 is the exponent
Step-by-step explanation:
Answer:
[tex]6^7[/tex]
Step-by-step explanation:
Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :
6 * 6 * 6 * 6 * 6 * 6 * 6
6 is being repeated, therefore it's the constant.
6 is repeated 7 times, therefore the exponent is 7.
[tex]6^7[/tex]
Swimming Pool On a certain hot summer's day, 630 people used the public swimming pool. The
daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled
$1170.00. How many children and how many adults swam at the public pool that day?
There were children at the public pool.
Enter your answer in the answer box and then click Check Answer.
1 pan
remaining
Clear All
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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the linear equation in two variables.
So we have to form two equations to solve this.
Let the number of children be 'x' and number of adults be 'y'.
hence, we get as,
x+y = 630 ..... (1)
and also, to their total cost spending, we get as,
1.5x + 2.25y = 1170 ...... (2)
solving (1) and (2) we get as,
Number of children were = 330
and Number of Adults were = 300
(Solved in the attachment)
what's 100×60÷1×86-89
Answer:
100×60 ÷ 1× 86-89
6,000 ÷ (-3)
-2000
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
Determine the number of terms n :
a 1 = 15, a n = 79, S n = 423
Answer:
The number of terms in the sequence is 9
Step-by-step explanation:
We want to get the number of terms
Mathematically, we have the formula for the sum of terms in an arithmetic sequence as
[tex]sn = \frac{n}{2} (a + 1)[/tex]
a represents the first terms, and i represent the last term
[tex]423 = \frac{n}{2} (15 + 79) \\ \\ 423 \times 2 = 94(n) \\ \\ 94n = 846 \\ \\ n = \frac{846}{94} \\ \\ n = 9[/tex]
Can you answer this question?
Answer:
numerator is 1
denominator is 25
hope my ans helps
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Keiko divided 5 cups of milk into 1/4 cup portions. How many 1/4 cup portions did Keiko have?
Find the area of this figure
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
Guys, please help me, I need to pass my Finals In math!! please answer these two questions with the definitions! Please please please I will mark the brainiest!!!
Answer:
Q1) The actual distance is 2400 km.
Q2) 1:5000000
(m2 – 7m – 6) (7m2 – 3m – 7)
PLZ HELP URGENT WILL GIVE BRAINLIEST
Answer:
7m^4-52m^3-28m^2+67m+42
Answer:
Step-by-step explanation:
A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that represent the relationship of the length, width, and area of the television.
Answer:
it's B, C, and D
Step-by-step explanation:
A. w ⋅ 462 = 16 1/2
not A
w * a ≠ l
B. 16 1/2 ⋅ w = 462
is B
l * w = a
C. 462 ÷ 16 1/2 = w
is C
a / l = w
D. 462 ÷ w = 16 1/2
is D
a / w = l
E. 16 1/2 ⋅ 462 = w
not E
l * a ≠ w
Find the perimeter of the figure
Answer:
82in
Step-by-step explanation:
brainliest?
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
please help me, u have no clue what to do. all it says is find the slope of the line that passes through the given two points using ratio method.
Answer:
Triangle y = 7
Triangle x = -3
Slope = - 7/3
Step-by-step explanation:
Formula:
slope (or m) = (y2 - y1)/(x2 - x1)
Plug numbers into formula
m = 8 - 1 / 4 - 7
m = 7 / -3
Cannot be simplified further
Slope = - 7/3
The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.
8 - 1 = 7 which forms the numerator for our slope
The same goes for the triangle before x. Find the difference
x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope
Does any one know how to to do Determining the GFC
In an animal sanctuary, there are 48 deer and 64 monkeys. Find the ratio of deer to monkeys.
Find the equation of the line by using y=mx+b
I tried to put the answer but it keeps asking for more
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1), we have points (-3,6) and (9,-5)
m=(-5-6)/(9-(-3))
m=-11/12 so now we have
y=-11x/12+b, using point (9,-5) we can solve for b
-5=-11(9)/12+b
-5=-99/12+b
b=39/12
y=(-11x+39)/12
That is the line, m=-11/12 and b=39/12 or as a decimal b=3.25. You had b so not sure what the problem is. Though the question in the picture asks what the line is. The line is
y=-11x/12+13/4 so maybe they want the entire function instead of entering what b is.
Find the value of x.
93
2x + 12
Work out the length of AC.
Give your answer to 3 significant figures.
A
29 cm
23°
ch
B
Answer:
AC ≈ 11.3 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )
29 × sin23° = AC , then
AC ≈ 11.3 cm ( to 3 significant figures )
Which of the following numbers Display the ration of 3/10?
ill mark brainlist plss help
Answer:
18.5
Step-by-step explanation:
74% of 25 = 18.5
Hope this helps!
Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230
Answer:
D: 1230
Step-by-step explanation:
1,230 is divisible by 2, 3 and 5
Please PLEASE help me!!!
Find AC
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
The weight of 25 folding chairs is 15 kg. How many
chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
I will brainlist you please help me i need this
Answer:
[tex]q = 16\sqrt{2}, r = 16[/tex]
Step-by-step explanation:
Use proportions for 45-45-90 triangle.
Answer:
Step-by-step explanation:
Use proportions for 45-45-90 triangle.