Answer:
[tex]\frac{53}{6}[/tex]
Step-by-step explanation:
[tex]\int\limits^4_3 {x^2-x} \, dx[/tex]
= [ [tex]\frac{x^3}{3}[/tex] - [tex]\frac{x^2}{2}[/tex] ] ← evaluate for upper limit - lower limit
= ( [tex]\frac{64}{3}[/tex] - [tex]\frac{16}{2}[/tex] ) - ( [tex]\frac{27}{3}[/tex] - [tex]\frac{9}{2}[/tex] )
= [tex]\frac{64}{3}[/tex] - 8 - 9 + [tex]\frac{9}{2}[/tex]
= [tex]\frac{155}{6}[/tex] - 17
= [tex]\frac{53}{6}[/tex]
Find two numbers between 3.456 and 3.457
Answer:
3.4561 and 3.4562
Step-by-step explanation:
there are uncountable infinitely many numbers...
Answer:
Answer is 3.456 , 3.456.
Step-by-step explanation:
3.456=3.4560
3.457=3.4570
then numbers between 3.45610 and 3.4570
is - 3.4561 , 3.4562 , ..........., 3.4570
Please Mark me as Brainliest
50,000 in scientific notation would be _____. 5 × 10^5 0.05 × 10^6 5 5 × 10^4 50,000
Answer:
Just count the number of zeros:
Step-by-step explanation:
There are 4 zeros, so the answer is 5 x 10^4.
Answer:
5 * 10^4
Step-by-step explanation:
In scientific notation, the amount an exponent has indicates how many zeroes are there.
Since we see four zeroes in the number 50,000
The only equation that would fit is of course 5 * 10^4
answer it answer it answer it
Answer:
The correct option is;
C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2
Step-by-step explanation:
The area of the square frame is the area of the inner square subtracted from the area of the outer square
Which gives;
52.2² - 47.8² = 440
Therefore;
Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame
Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is a correct way of finding the area of the square frame
Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame
The error is the thickness is 2.2 not 4.4
Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440, is a correct way of finding the area of the square frame
Please help fast! My friend thinks it’s 52 but I think it’s 28.
Answer:
Hey there!
I'm sorry, but your friend is right.
It is the difference between -40 and 12, which is 52.
Let me know if this helps :)
What is the value of k?
Answer:
k = 3Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
!!Please help!! This is algebra and I don't understand
Answer:
To understand this, bags of gas added make it go up, while bags of sand added make it go down:
1). Add bags of gas | balloon goes UP | 3 bags of gas ( +3 ), 10 bags of sand ( +10 )
2). Add bags of sand | balloon goes DOWN | 3 bags of sand ( -3 ), 10 bags of sand ( -10 )
3). Subtract bags of gas | balloon goes DOWN | subtract 3 bags of gas - ( +3 ), subtract 10 bags of gas - ( +10 )
4). Subtract bags of sand | balloon goes UP | subtract 3 bags of sand - ( -3 ), subtract 10 bags of sand - ( 10 )
HOPE THIS HELPS.Find the value of x in the triangle shown below.
X =
80°
7
7
29
9
☆ We know that angles of triangle opposite of its equal sides are also equal
Here the information that we know about the given triangle is
One Angle is 80° Sides are 7 , 7 and 9So the angles opposite to the equal sides will be equal .
→ So one of those equal angle is x so other will also be x .
☆ Interior angle sum property states that sum of interior angles of triangle will be 180°
→ 80° + x + x = 180°
→ 2x = 180°-80°
→ 2x = 100°
→ x = 100/2
→ x = 50° .
So the value of x is 50°.The value of x in the triangle is 50°.
We have,
The given triangle is an isosceles triangle.
This means,
There are two equal sides and the angles opposite to the equal sides are also equal.
Now,
The sum of the three angles in a triangle is 180.
So,
80 + x + x = 180
80 + 2x = 180
2x = 180 - 80
2x = 100
x = 100/2
x = 50°
Now,
We can cross cheked.
80 + 50 + 50
80 + 100
180
True.
Thus,
The value of x in the triangle is 50°.
Learn more about triangles here:
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Find the missing vertex (5,3) (-5,3) (-5,-1)
The endpoints of segment GH are G(-5,5) and H(8, 19). What is the midpoint of
segment GH?
Answer:
( 3/2, 12) is the midpoint
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
( -5+8)/2 = 3/2
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
( 5+19)/2 = 24/2 = 12
( 3/2, 12) is the midpoint
Finding area and perimeter
A square with sides of length 21m.
least to greatest 3.2 3.08 3.18 3 1/8
marl borrowed $200 a 12% simple interest for one year. If he makes no payment that year, how much interest will he owe at the end of the year?
Answer:
He will owe $24 interest at the end of the year.
Step-by-step explanation:
Formula for finding Simple Interest:
S.I = PRINCIPAL × RATE × TIME/100
S.I = 200 × 12 × 1/100
S.I = $24
$24 is the Simple Interest.
-5+9+(-5)+(-10)+(1) is equal to
Answer:
- 10
Step-by-step explanation:
Distribute the '+' into the '-' and simplify:
-5+9+(-5)+(-10)+(1) =
-5 + 9 - 5 - 10 + 1 =
-10
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{ - 10}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 5 + 9 + ( - 5) + ( - 10) + 1}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains in same.
⇒[tex] \sf{ - 5 + 9 -5 - 10 + 1}[/tex]
Calculate
⇒[tex] \sf{ 4 - 5 - 10 + 1}[/tex]
⇒[tex] \sf{ - 1 - 10 + 1}[/tex]
⇒[tex] \sf{ - 11 + 1}[/tex]
⇒[tex] \sf{ - 10}[/tex]
Hope I helped!
Best regards!!
how do I write 5(x + 6) as a verbal expression
Answer:
five times the value of 6 more than a number
Step-by-step explanation:
five times = 5 •
6 more = 6 +
a number = x
5(x + 6)
Write an equation for the nth term of the arithmetic sequence. Then find a50.
8, 2, -4, - 10,
The equation for the nth term of the arithmetic sequence is -6n + 14 and the found 50 is -286.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.
Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
Therefore, the equation for the nth term of the arithmetic sequence is -6n + 14.
To learn more about an arithmetic sequence, refer to the link:
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The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer:
21 : 22
Step-by-step explanation:
Boys : Girls = 7 : 8
Let the number of boy = 7x
the number of girls = 8x
Number of boys after 20% increase = 120% of 7x
= 1.2 * 7x
= 8.4 x
Number of girls after 10% increase = 110% of 8x
= 1.1 * 8x
= 8.8x
After increase in number of boys & girls ,
= 8.4x : 8.8x
= 84 : 88 { reduce to simplest form by giving by 4th table}
= 21 : 22
an online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a dvd player for which a shipping charge is $11.94?
Answer:
The weight is 9 lbs
Step-by-step explanation:
flat fee + price per found * pounds = total charge
6.99 + .55 * p = 11.94
Subtract 6.99 from each side
6.99 + .55 * p - 6.99= 11.94-6.99
.55p =4.95
Divide each side by .55
.55p/.55 = 4.95/.55
p =9
The weight is 9 lbs
A rectangle has an area of 24 square inches. If the side
lengths of the rectangle are integers, which of the
following could be the perimeter of this rectangle?
Answer:
Possible perimeters:
50 inches, 28 inches, 22 inches, 20 inches.
Step-by-step explanation:
Given that:
Area of triangle = 24 square inches
Side lengths of rectangle are integers.
To find:
Possible perimeter of this rectangle = ?
Solution:
Here, options are missing, so let us calculate all possibilities for the perimeter.
The formula for Area of a rectangle is given as:
[tex]A = Length \times Width[/tex]
Let us make integer factors of 24 first of all.
[tex]24 = 1 \times 24\\24 = 2 \times 12\\24 = 3 \times 8\\24 = 4 \times 6[/tex]
These are the four possibilities of length and breadth.
Let us calculate the possible perimeter for each case using the formula for perimeter:
[tex]Perimeter = 2\times (Length + Width)[/tex]
1st possible option:
[tex]Perimeter = 2\times (1+ 24) = 50\ inches[/tex]
2nd possible option:
[tex]Perimeter = 2\times (2+ 12) = 28\ inches[/tex]
3rd possible option:
[tex]Perimeter = 2\times (3+ 8) = 22\ inches[/tex]
4th possible option:
[tex]Perimeter = 2\times (4+ 6) = 20\ inches[/tex]
Max is organizing a trip to the airport for a
group of 75 people. He can use two options
from Uber:
• An UberX costs $40 to the airport and
can hold 4 people.
• An UberXL costs $63 to the airport and
can hold 7 people.
If Max orders 6 UberXL and 9 UberX, what
will be the total cost for the trip to the
airport?
Answer:
$738
Step-by-step explanation:
Uber X costs $40
Max orders 9
$40.00·9=$360.00
Uber XL costs $63
Max orders 6
$63.00·6=$378
$360.00+$378.00=$738
Hope this is helpful :-)
1. Which of the following statements is true about the numbers 4.5,-6,12,-1.1? * BRAINLIEST PRIZE!
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
Numbers:
4.5,-6,12,-1.1Let's see which option is correct:
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
4.5 in not an integer, it is incorrect-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
4.5 is not a whole number, this is incorrect4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Correct12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
-1.1 is not and integer, 4.5 is not a whole number, this is incorrect
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names or "y" to describe the unknowns.
six divided by a number
Answer:
[tex]\frac{6}{y}[/tex]
Answer:
6/y.
Step-by-step explanation:
If the number is y then the expression 6/y.
b. Emily is the most popular name among the 1,994,317 females born in 2000. There were
25,952 Emilys born that year. What percentage of all female births is this?
Answer:
1.3%
Step-by-step explanation:
percent = part/total × 100%
percent = 25,952/1,994,317 × 100%
percent = 1.30129...%
Answer: 1.3%
Is 2:4 and 42:84 equivalent?
Answer:
Yes.
Step-by-step explanation:
They are both divisible by 21.
Answer:
Yes
Step-by-step explanation:
They both equal one half
I NEED HELP PLEASE :(
Answer:
5th root (27)
Step-by-step explanation:
27 ^ 1/5
=> 5th root of 27^1
=> 5th root (27)
Answer:
5th root (27)
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items? 25 seconds 25.4 seconds 25.35 seconds 26.1 seconds
Answer:
B
Step-by-step explanation:
25.4
The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.
What is Mean?The mean of average is the ratio of the sum of observations and the number of observations.
Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.
The average time Janette to fold and put away all four items will be given as,
Average = (26.1 + 24.3 + 32.8 + 18.2) / 4
Average = 101.4 / 4
Average = 25.35
The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.
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Which statement is a theorem? A) Three noncollinear points determine a plane. B) Through any two points there is exactly one line. C) A rectangle is a parallelogram with four right angles. D) If C lies on AB and is between A and B, then AC + CB = AB.
Answer:
D) If C lies on AB and is between A and B, then AC + CB = AB.
Step-by-step explanation:
Statements A, B and C are postulates while statement D is a theorem.
A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.
The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.
This statement can be proven, so it is a theorem.
f(x) = (x - 3)(2x - 8)
lesser =
greater x =
Answer:
lesser x =3
greater x =4
Step-by-step explanation:
f(x) = (x - 3)(2x - 8)
Set the function equal to zero to find the zeros
0 = (x - 3)(2x - 8)
Using the zero product property
0 = (x - 3) 0=2x - 8
Solve each equation
3 = x 8 =2x
3=x 8/2 =x
4=x
lesser x =3
greater x =4
What is the value of 21 + 6² - (35 - 8) ×3? A. 90 B. 0 C. -24 D. -54
Answer:
C. -24
Step-by-step explanation:
Hello!
To solve this we have to follow the order of PEMDAS
Parenthesis, exponents, multiplication and division, addition and subtraction
[tex]21 + 6^{2} - (35 - 8) * 3[/tex]
Parenthesis first
[tex]21 + 6^{2} - (27) * 3[/tex]
Exponents next
21 + 36 - 27 * 3
Multiplication and division from left to right
21 + 36 - 81
Addition and subtraction from left to right
57 - 81 = -24
The answer is C.-24
Hope this helps!
Answer:
C. -24Step-by-step explanation:
[tex]21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24[/tex]
5x+- 4(x + 5) +19 - 6x
Answer:
-5x-1
Step-by-step explanation:
5x+- 4(x + 5) +19 - 6x
Distribute
5x -4x -20 +19 -6x
Combine like terms
-5x-1
Answer:
-5x-1Step-by-step explanation:
[tex]5x+- 4(x + 5) +19-6x\\5x +(-4x-20)+19-6x\\\\5x -4x-20+19-6x\\\\Add \:similar\:elements\\5x-4x-6x-20+19\\\\=-5x -1[/tex]
What are the points
Answer:
There are 9 dots. So 9.
Step-by-step explanation:
Just take my word for it.