Step-by-step explanation:
1+6+8+9+7-5+81
= 107
....
The sum of two consecutive odd numbers is 72. Find the numbers
Answer:
Step-by-step explanation:
(2n - 1) and (2n + 1) So, 2n -1 + 2n + 1 = 72. 4n = 72.
n = 18. So, The odd numbers are.
(2n - 1) = ((2 x 18) - 1) = 35. and,
(2n + 1) = ((2 x 18) + 1) = 37.
Step-by-step explanation:
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
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Irrational numbers definition
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
Solve equation for y. 6=4x+9y
The table shows the distance that two trains are from Center Station at various times of the day.
Miles From Center Station
Time of day
Train 1
Train 2
11:30
13
7
12:00
31
27
12:45
58
57
How do the speeds of the trains compare?
Train 1 is traveling 1 mile per hour faster than train 2.
Train 1 is traveling 6 miles per hour faster than train 2.
Train 2 is traveling 4 miles per hour faster than train 1.
Train 2 is traveling 5 miles per hour faster than train 1.
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation:
Answer:
Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation
:)))))
5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
9z − 6z − –7z + –4 = 16 z=
Answer:
z=-[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
ve the equation. 3c + 1 = c +1
can yall pls help me im kinda dumb
The answer is D.
Turning fractions into decimals will help you eliminate answers!!
How I got D:
-2 3/4 can be turned into -2.75 by dividing 3/4.
-2 3/4 is the smallest number out of all of them so it has to be first.
-2.67 is the second smallest value.
3/5 is .60 making it the third smallest value.
4 is the second largest value.
17/4 is 4.25, which is the largest.
A is not correct because -3/5 is not the smallest number.
B Is not correct because the largest number is 17/4.
C is not correct because -2.67 is not the smallest number.
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .
Answer:
The answer is B. and D.
Step-by-step explanation:
if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.
The correct statements are (B) and (D).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is x + 2.5x = 63.
Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x
Hence, option (A) is incorrect, as Robert's sales are 2.5x.
Solve the equation as follows:
x + 2.5x = 63
3.5x = 63
x = 63/3.5
x = 18
Hence, option (B) is correct.
Since x=18, Robert's sales are:
2.5 × 18
= 45
Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.
Option (D) is already shown to be correct.
Option (E) is also incorrect, as option (D) is correct.
Hence, the correct statements are (B) and (D).
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can someone please help me
Answer:
i think its 9, i dont exactly know
Step-by-step explanation:
Evaluate m+n for m = 9 and n=7
Answer:
16
Step-by-step explanation:
Step-by-step explanation:
M=9 so m+n becomes 9+n.
N=7 so 9+n becomes 9+7.
9+7=16
Which is the best estimate of
(-3/5)(17 5/6)
A. -18
B. -9
C.9
D.18
Answer:
c!
Step-by-step explanation:
have a great day! (sorry this was late!)
A crate to ship boxes of baseballs can hold 4 boxes that are each (6 x 6) * 2. How
many baseballs can be shipped in the crate, if each baseball takes a 1x1x I space?
Show your thinking using words, numbers, or labeled sketches.
Answer:
Each crate can contain 288 baseballs.
Step-by-step explanation:
Since one baseball takes up 1 × 1 × 1 space, and each box has 6 × 6 × 2 units of space, then the number of baseballs in one box is 6 × 6 × 2 ÷ 1 × 1 × 1 = 72 baseballs.
So, 72 baseballs can be contained in one box.
Now, since each crate contains 4 boxes, the number of balls contained in each crate is 1 × 4 boxes = 1 × 4 × 72 baseballs = 288 baseballs.
So each crate can contain 288 baseballs.
Create a table and graph the equation y+3x=x^2. Identify the intercepts (if any)
Answer:
.
Step-by-step explanation:
The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph
Answer:
56mph
Step-by-step explanation:
If d=rt,
then s=d/t,
so if d=67.2 and t=1.2,
then 67.2/1.2=56
can someone help me i will mark
Answer:
8+3/4w
Step-by-step explanation:
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
Answer:
no
Step-by-step explanation:
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.
Given h(x) = -3x – 5, solve for x when h(x) = –2.
The value of x will be equal to -1 when the value of h(x) is -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-
h(x) = -3x – 5,
-2=-3x -5
3=-3x
x=-1
Therefore, the value of x will be equal to -1 when the value of h(x) is -2.
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How to write y = -4(x+6)(x-8) into standard form
Step-by-step explanation:
y = -4(x+6)(x-8)
= -4[x²-2x-48]
= -4x²+8x+192
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
y - 1 > -7 A.y ≥ -6 B.y > -6 C.y -8
Solve for a brainlist
(Goes to first person)
7•3=?
Answer:
21Step-by-step explanation:
[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]
Answer:
21
Step-by-step explanation:
3y + 8 = ½ y + 28 Find y
[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
Need some help over here plz
(4 x 10^4) x (2 x 10^-5)
A) 8 x 10^1
B) 8 x 10^-1
C) 2 x 10^9
D) 6x 101-1.
Andre drew a plan of a courtyard at a scale of 1 to 60. On his drawing, one side of the courtyard is 2.75.what is the actual measurement of the side of the courtyard?
Answer:
165
Step-by-step explain:
1=60
2 times 60 is 120
.75=3/4
3/4 of 60 is 45
add 120 and 45
= 165