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3 years ago

HELP, I NEED SOMEBODY

Mathematics

1 answer:

Ugo [173]3 years ago

6 0

P^2 + 4p = 1
(p + 2)^2 - 4 = 1
(p+2)^2 = 1 + 4 = 5
p+2 = +/- sqrt5
p = +/- sqrt5 - 2 Answer

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How many three-digit positive integers have three different digits and at least one prime digit?

Diano4ka-milaya [45]

Answer:

252

Step-by-step explanation:

using a brute force method in c++

#include <stdio.h>

int main(){

int a, b, c, n = 0;

for(a = 1; a <= 9; a++)

for(b = 0; b <= 9; b++)

for(c = 0; c <= 9; c++)

if((a==3 || b==3 || c==3)) n++;

printf("%d\n", n);

}

8 0

2 years ago

3. Two of the vertices of an equilateral triangle are (0, -a)

egoroff_w [7]

The third coordinate of the equilateral triangle is $(\sqrt3a,0)$ . Ir can be obtained by distance formula.

What is distance formula?

It gives the distance between two coordinates.

Distance formula is given by the following expression:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Consider the third cordinate is (x,0) and x is positive because it is on tight side on the x axis.

Now, since the triangle is equilateral hence, the distance of (x,0) from (0, -a) and (0, a) should be equal to distance between (0, -a) and (0, a).

Now, caculate the distance between (0,-a) and (0, a). $\sqrt{(0-0)^2+(-a-a)^2}=2a$

Now, distance between (x,0) and (0, a) should be 2a.

$\sqrt{(x-0)^2+(0-a)^2}=2a\\\sqrt{x^2+a^2}=2a$

Now, square on both the sides.

$x^2+a^2=4a^2\\x^2=3a^2\\x=\sqrt3a$ and $-\sqrt3a$

But the negative value of x is not possible because the coordinate lies on the right side.

Hence, the third coordinate of equilateral triangle is $(\sqrt3a,0)$ .

Learn more about distance formula from the following link:

brainly.com/question/7243416

#SPJ1

5 0

1 year ago

(4x^5+3x^2-6)+(2x^5+3x^2+1)

Juliette [100K]

Answer : 6x^5 + 6x^2 - 5

Combine the like terms :
4x^5 + 2x^5 = 6x^5
3x^2 + 3x^2 = 6x^2
-6 + 1 = -5

Put into descending order.

8 0

4 years ago

Read 2 more answers

Find the area of this parallelogram 13cm 15cm 20cm

Georgia [21]

Answer:

260cm²

Step-by-step explanation:

area of this parallelogram 20×13=260cm²

4 0

2 years ago

Let X be the future lifetime random variable in years for a newborn (age 0). The probability density function of X is as follows

meriva

Answer:

Step-by-step explanation:

First we need to find the value of constant k in equation. To find k we use the formula:

$\int\limits^{100}_0 {ke^{-0.01x}} \, dx =1\\Integrating:\\k\int\limits^{100}_0 {e^{-0.01x}} \, dx =1\\\frac{k}{-0.01}[e^{-0.01x}]_0^{100}=1\\-100k [e^{-0.01x}]_0^{100}=1\\-100k[e^{-0.01*100}-e^{-100*0}]=1\\-100k[e^{-1}-e^0]=1\\-100k(-0.632)=1\\63.2k = 1\\k=0.0158$

the probability that a person age 20 will live for at least 20 more years = P(40 ≤ x <∞).

The person would live for at least 40 years

Therefore:

P(40 ≤ x <∞) =

$\int\limits^{\infty}_{40} 0.0158e^{-0.01x}} \, dx \\Integrating:\\0.0158\int\limits^{\infty}_{40} {e^{-0.01x}} \, dx =\frac{0.0158}{-0.01}[e^{-0.01x}]_{40}^{\infty}\\=-1.58 [e^{-0.01x}]_{40}^{\infty}=-1.58[e^{-\infty}-e^{-100*40}]\\=-1.58[e^{-\infty}-e^{-4000}]=-1.58(0-0)=0$

6 0

3 years ago