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4 years ago

What is the result when the number 21'is increased by 9%?

Mathematics

2 answers:

zhuklara [117]4 years ago

6 0

22.89. Hope this helps you !!!

Lynna [10]4 years ago

3 0

Answer:

22.89

Step-by-step explanation:

You might be interested in

Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,

Ainat [17]

Vertex form of a parabola
y = a (x - h)^2 + k 

where (h, k) is the vertex 
Substituting the values of h and k.
we get,

y = a(x + 4)^2 + 2 

substituting in the point (0, -30) for x and y
-30 = a (0 + 4)^2 + 2

solve for a,

-30 = 16 a + 2 
-32 = 16 a 
-2 = a 

y = -2(x + 4)^2 + 2 

Put y = 0 

-2 x^2 - 16 x - 30 = 0 
-2(x^2 + 8 x + 15) = 0 
x^2 + 8 x + 15 = 0 
(x + 3)(x + 5) = 0 

x = -3
x = -5

3 0

3 years ago

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Veronika [31]

The expression of integral as a limit of Riemann sums of given integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ is 4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$ from i=1 to i=n.

Given an integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ .

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

$\int\limits^b_a {f(x)} \, dx$ = $\lim_{n \to \infty}$ ∑f(a+iΔx)Δx ,here Δx=(b-a)/n

$\int\limits^5_1 {x/(2+x^{3}) } \, dx$ =f(x)= $x/2+x^{3}$

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)= $[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}$

$\lim_{n \to \infty}$ ∑f(a+iΔx)Δx=

$\lim_{n \to \infty}$ ∑ $n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n$

=4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$

Hence the expression of integral as a limit of Riemann sums of given integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ is 4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$ from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0

2 years ago

Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

jarptica [38.1K]

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

3 0

3 years ago

A triangle with three acute angles

kotegsom [21]

Answer:

An Acute triangle

Step-by-step explanation:

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).

6 0

3 years ago

If y = 2x and 3x - 3y = 2, then x =

faltersainse [42]

Answer:

The value of x is equal to -2/3.

Step-by-step explanation:

In the problem it says that y equals 2x, and that 3x - 3y = 2.

The first step is to substitute 2x into y.

3x - 3(2x) = 2.

The next step is to use distributive property.

-3(2x) = -6x.

Now we need to add like terms.

3x - 6x = -3x.

Which gives us the equation -3x = 2.

The final step is to divide on both sides to get the value of x.

-3x/-3 = 2/-3.

x = -2/3.

So as you can see, x is equal to -2/3.

We can also check to make sure by redoing the problem, but substituting the value of x.

3(-2/3) - 3(2 * -2/3) = 2.

-2 - 3 * -4/3 = 2.

-2 + 4 = 2.

2 = 2.

The value of x is indeed -2/3.

5 0

3 years ago