An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.
[tex]\int f(x)dx=\int 10x+3dx[/tex]
This function is relatively easy to integrate because its just a sum of terms with various exponents.
[tex]\int 10x+3dx=5x^2+3x+C[/tex]
To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.
[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].
Et voilà.
Hope this helps.
An adult blue whale can eat 4.0 x 107 krill in a
day. At that rate, how many krill can an adult
blue whale eat in 1.45 x 102 days?
How do I solve this problem?
Answer:
y+11=-[tex]\frac{1}{4}[/tex](x-4)
Step-by-step explanation:
since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-[tex]\frac{1}{4}[/tex](x-4)
Coordinates of C and D are (-14 , 6) and (x , 13) respectively.Given x is a positive integer and the distance CD is 25 units.Find the value of x.
Answer:
10
Step-by-step explanation:
1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)
2) The module of the vector CD is equal to diatance CD=25. It is equal to
sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).
25= sqrt ((x+14)(x+14)+7*7)
625= (x+14)*(x+14)+49
625= x^2+28x+196+49
X^2+28X-380=0
a=1 b=28 c=-380
D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304
sqrt D= sqrt2304=48
x1= (-28-48)/2= -38
x2= (-28+48)/2= 10
But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.
Question 15 of 26
A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
с
4 yds
329
28
С
A
'
Triangle not drawn to scale
O A. 3.5 yds
O B. 4.1 yds
C. 2.8 yds
D. 4.5 yds
Answer:
3.5 yards
Step-by-step explanation:
The value of c in the triangle ABC is 3.5 yds, Option A is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC.
We have to find the length c in the triangle.
Now let us use sine rule to find the value of c.
c / sin 28° = 4 / sin 32°
The value of sin 28° is 0.4695 and sin 32° is 0.5299
c / 0.4695 = 4 / 0.5299
Apply cross multiplication
c × 0.5299 = 4 × 0.4695
c × 0.5299 = 1.8636
Divide both sides by 0.5299
c = 1.8636/0.5299
c = 3.516
= 3.5 yds
Hence, the value of c in the triangle ABC is 3.5 yds, Option A is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7.
Algebra 1 need help ASAP
This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).
Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
Learn more about y-intercept here: https://brainly.com/question/19072676
A storeowner orders 25 calculators that cost $38 each. The storeowner can sell each calculator for $42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
Step-by-step explanation:
25*-30= -$750
Second: He sells 22 of those calculators for $35 each, so he is making money.
22*35= $770
Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.
3*-2= -6
Add all the costs and sales together, and you get 770-750-6= $14 profit
However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90
$90+$14= $104 profit
here u go
The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 88 square inches. The width of the poster is greater than 10 inches and is prime.
Answer: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number
Step-by-step explanation: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number.what is the width
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
A.
8
B.
9
O c.
16
o
D.
18
Answer:
D
Step-by-step explanation:
time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D
Answer:
The answer is below
Step-by-step explanation:
You first divide 27/3
= 9
you divide it cause you know how many times you have done a lap every 2 minutes.
Now to find how long you took you times 9 by 2
= 18
Therefore Jose took 18 minutes to swim 27 laps
URGENT, WILL GIVE BRAINLIEST IF CORRECT.
8 and 13
11.5 and 23.6
22 and 15
Answer:
5 < x < 21
Step-by-step explanation:
I did this bfore.
A binomial with a leading coefficient of 4 and a constant of 1.
The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
made this question if you can able to make
Answer:
the process is correct
Step-by-step explanation:
hope u like it
what is the relationship that have the same rate of change
Answer:
I don't really know sorry
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP
Answer:
It's 13.2
Step-by-step explanation:
From pythogras theorem:
[tex]{ \bf{ {a}^{2} = {b}^{2} + {c}^{2} }}[/tex]
[tex] = \sqrt{ {20}^{2} - {15}^{2} } \\ = \sqrt{175} \\ = 13.2[/tex]
draw the graph of the line: with a slope of -1/2 and that passes through the origin
Answer:
I hope this helps!
What is the 6th term of this pattern : 0.1, 0.02, 0.12, 0.14, 0.26, ____?
A. 0.4
B. 0.3
C. 0.7
D. 0.9
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
Resultados de esta operación porfavor
/4 + 1/3
Answer:
Step-by-step explanation:
english only please
Are 5-x=y and x-5=y the same ?
Answer:
not really
Step-by-step explanation:
because on the first equation you subtract 5and take to y as a negative and in the second equation 5 goes as a positive at least that is what i think
Answer:
no cause
5-x=y
5 is positive , x is negative
BUT
x-5=y
5 is negative, and x is positive
Which equation is the inverse of y = 16+ 1?
Choices
Answer:
d
Step-by-step explanation:
you could see it is x-1 and the the square root of 16 is 4.
Answer:
Answer is the very bottom one
Step-by-step explanation:
hope this helped ^^
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
when it.jhonny hejzjrhjahruwhehb4nrjdjhegrhdjsrhhrhrr jake b poouoiouoiouoakao
plssss help???????? don’t understand
Answer:
cos N = 7/25 =.28
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos N = MN/ LN
We need to find the ad
Using the Pythagorean theorem
a^2+b^2 = c^2
MN^2 + 48^2 = 50^2
MN^2 + 2304 =2500
MN^2 = 2500-2304
MN^2 =196
Taking the square root
MN =14
cos N = MN/ LN
cos N = 14/50
cos N = 7/25
Answer: CosN (0.28)
A²+B²=C²
In this case we are trying to find the base so
C²-A² = B²
So 50² subtract 48²= B²
2,500 subtract 2,304 = 196
Square root of 196 = 14
Now we have all 3 sides of the triangle we find
Soh Cah Toa
Cah means Cos=Adjacent / hypotenuse
First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent
We have Angle N and we know our hypotenuse (The longest side of the triangle)
The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent
In this cse the angle we solved for B²= 14
Again back "Cah" Cos= Adjacent/hypotenuse
So, 14/50 = 0.28
Step-by-step explanation:
what numbers do u put up top when your doing 12,490 + 3,941
Answer:
12,490
+ 3,941
16431
Step-by-step explanation:
One thousandth of the base unit in length :
One millionth of the base unit in mass :
One thousandth of the base unite in time :
Step-by-step explanation:
[tex]1 \div 100th[/tex]
WILL GIVE BRAINLIEST AND 40 POINTS! HURRY PLEASE!
The function f(x) = ax is the exponential function with base a. Given this definition, provide an example of an exponential function, discuss the behavior and give the domain of the provided exponential function.
Answer:
The function f(x)=3x is an exponential function; the variable is the exponent. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. In fact, for any real number x, 1x = 1, so f(x)=1x is the same function as the constant function f(x) = 1.
Step-by-step explanation:
how do I simplify when there are fractions on fractions
Answer: y/y+x
Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
8 lb. 9 oz.
X 15 _______
Step-by-step explanation:
where is the steps to this question you can't answer it without a question too it SMH
