1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sphinxa [80]
3 years ago
5

Subtract (-2) + 3 – 6. Hint: Add the first two numbers, then subtract the 6 from the result of that addition.

Mathematics
1 answer:
mina [271]3 years ago
7 0

The answer is -5.

Step-by-step explanation:

The answer is -5 because -2 plus 3 equals 1 and 1 minus 6 equals -5

You might be interested in
Solve for t. d= -16t^2 + 12
IRINA_888 [86]

Answer:

t=√d-12/4 and t=√-d-12/4, d≥12

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
Elevator 1 moved up 15 feet from the ground level. Its position is labeled as +15. Elevator 2 moved down 6 feet from the ground
sergey [27]
The ground level is to be the zero level. When the elevator moves above the ground level, it is moving towards the positive integer and when the elevator moves below the ground level, it is moving towards the negative integer. 

Elevator 2 moved down 6 feet from the ground level hence its position is labelled as -6
3 0
3 years ago
The cost of a skateboard is $60. it went on sale and is now 33% off. what is the amount of the skateboard now?
Law Incorporation [45]
To find the answer for this question, you need to convert your percent to a fraction. (33/100) You will multiply 60 by 33/100, and get 19.8. That shows you the discount you are getting. Finally, you need to subtract 19.8 from 60, getting you a final answer of $40.2.
4 0
3 years ago
Read 2 more answers
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
sergij07 [2.7K]

(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1

which reduces to

<em>c</em> / 2 (0 + 1) = 1   →   <em>c</em> = 2

(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678

5 0
3 years ago
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
Other questions:
  • What is the value of the underlined digit 53
    11·1 answer
  • Find the surface area of the sphere.
    7·1 answer
  • Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
    15·2 answers
  • What is 2550 gallons in 30 days in unit rate
    14·1 answer
  • Emma has 4 1/2 pounds of birdseed. She wants to divide it evenly among 3 bird feeders. How much birdseed should she put in each?
    15·1 answer
  • Find the circumference of a swimming pool whose diameter is 10 meters
    10·2 answers
  • The radius of the base of a cone is 16 m. Its slant height is 28 m. What is the surface area in
    6·1 answer
  • A line passes through the points (4, -1) and (2,4). What is the slope of the line?
    15·2 answers
  • Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
    5·1 answer
  • From this density, the probability that X is between 0.5 and 1.5 is:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!