Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10

Step-by-step explanation:
- Finding the area of the curve y = f(x) = x between x = 5 and x = 10
Using the Area formula

As the area of curve lies between x = 5 and x = 10
so
so the integral expression becomes


![A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cfrac%7Bx%5E%7B1%2B1%7D%7D%7B1%2B1%7D%5Cright%5D%5E%7B10%7D_5)
![=\left[\frac{x^2}{2}\right]^{10}_5](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cfrac%7Bx%5E2%7D%7B2%7D%5Cright%5D%5E%7B10%7D_5)
![=\frac{1}{2}\left[10^2-5^2\right]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B10%5E2-5%5E2%5Cright%5D)


Therefore, area of the curve y= f(x) = x between x = 5 and x = 10

Answer:
x = 5.13 yards to the nearest tenth
Step-by-step explanation:
The diagram is redrawn and labelled in the attached photo.
It is labelled as triangle ABC. Angle A is determined to be 25 degrees. This is because it is alternate to 25 degrees at the top.
To find x, we will apply trigonometric ratio
Tan # =opposite side / adjacent side
Where # = 25 degrees
Opposite side = x
Adjacent side = 11
Tan 25 = x/11
x = 11tan25
x = 11× 0.4663
x = 5.1293 yards
x = 5.13 yards to the nearest tenth.
Answer: Adelia brought a snack that costed 3 dollars.
Step-by-step explanation:
4 quarters in each dollar
(4dollars*4quarters)
$4.00=16 quarters
(she found 2 more quarters)
16+2=18
0.25*18= $4.50
She brought a snack that left her with 6 quarters ($1.50)
$4.50-$1.50=$3.00
Adelia brought a snack for $3.00
Answer:
(5,3)
Step-by-step explanation:
I know its worded weird, but they are just asking you to translate the point 2,5.
They say image because the point 2,5 is the pre-image and after the translation, it is called the image.
Answer:
1
Step-by-step explanation:
To evaluate (g ○ f)(0), substitute x = 0 into f(x) then substitute the value obtained into g(x), that is
f(0) = 5(0) + 1 = 0 + 1 = 1, then
g(1) = 1³ = 1