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
Dima020 [189]
3 years ago
6

Simplify this expression (15+8d)(-5)-24d+d Solve step by step

Mathematics
1 answer:
zysi [14]3 years ago
7 0
(15 + 8d) (- 5) - 24d + d
- 75 - 40d - 24d + d
- 75 - 63d

You might be interested in
Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5
maks197457 [2]
First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx
x=1\implies t=\dfrac{2-6}4=-1
x=5\implies t=\dfrac{10-6}4=1

So,

\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt

Let f(t)=2\sin(2t+3)^2. With n=4, we're looking for coefficients c_i and nodes x_i, with 1\le i\le4, such that

\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)
\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.5790
4 0
3 years ago
The following playing cards are used in a game. What is the probability of not selecting a prime number?
dybincka [34]

Answer:

3/7

Step-by-step explanation:

1,2,3,4,5,6,7

The word problem is asking the <u>PROBABILITY</u> OF NOT SELECTING A PRIME NUMBER.

PROBABILITY: THE LIKELIHOOD OF AN EVENT.

There are 7 numbers in this data set. Of the seven numbers, four are prime numbers, three of them are not.

Therefore, the probability of not selecting a prime number is 3 in 7, or 3 out of 7 (3/7).

3 0
3 years ago
Solve the following system of equations by using the inverse of a matrix.
Zepler [3.9K]

Answer:

(x, y, z) = (-8,4,-2)

Step-by-step explanation:

.......................................

6 0
4 years ago
Which of the following scale factors will result in an enlargement? A. k &lt; –1 B. –1 &lt; k &lt; 0 C. 0 &lt; k &lt; 1 D. k = 1
grin007 [14]

Answer:

Option A (k < -1).

Step-by-step explanation:

Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!

8 0
4 years ago
Read 2 more answers
30 points With explanation plz?​
rosijanka [135]

Answer:

girl. . I wanna say 80 but don't count on my answer. hopefully I helped

5 0
4 years ago
Other questions:
  • As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater.
    10·2 answers
  • Different ways to make 25,302
    12·1 answer
  • PLEASE HELP PLEASE SHOW WORK THANK YOU SOO MUCH THIS REALLY HELPED 20 POINTS!!!!!!
    7·2 answers
  • Can someone please help me solve this equation? 3x-7=20+2x
    13·1 answer
  • 16/3 simplify the answer using a mixed number or a whole number
    8·2 answers
  • PLS HELP THIS IS A TEST !!! SHOW PLS WORK. 15 POINTS GIVEN AND BRAINLIEST !!
    11·1 answer
  • In the diagram, AB= DC and AC= DB. Why does DBC = ACB?
    10·2 answers
  • Find the total surface area of the prism
    5·2 answers
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
    14·1 answer
  • Round to the nearest hundreth
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!