answer.
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
Anettt [7]
2 years ago
15

Let $a=-1$, let $b=3$, and let $c=-5$. Calculate $b(abc+5ab)+b(c+a)$.

Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Answer: $b(abc+5ab)+b(c+a)$ = - 18

Step-by-step explanation:

If $a = $ - 1, $b = $3 and $c = $- 5, then

abc = - 1 × 3 × - 5 = 15

5ab = 5 × - 1 × 3 = - 15

Then,

$b(abc+5ab) = 3(15 - 15)

Opening the brackets, it becomes

3 × 0 = 0

(c + a)$ = - 5 - 1 = - 6

Then,

b(c+a)$ = 3 × - 6 = - 18

Therefore,

$b(abc+5ab)+b(c+a)$ = 0 + (- 18)

$b(abc+5ab)+b(c+a)$ = 0 - 18 = - 18

You might be interested in
Nathaniel purchased a new car in 1997 for $20,300. The value of the car has been depreciating exponentially at a constant rate.
Tems11 [23]

Answer:

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

A = $2700

P = $20300

n = 2004 - 1997 = 7 years

Therefore,

20300 = 2700(1 - r)^7

20300/2700 = (1 - r)^7

7.519 = (1 - r)^7

Taking log of both sides, it becomes

Log 7.519 = 7 log(1 - r)

0.876 = 7 log(1 - r)

Log (1 - r) = 0.876/7 = 0.125

Taking inverse log of both sides, it becomes

10^log1 - r = 10^0.125

1 - r = 1.33

r = 1.33 - 1 = 0.33

The expression would be

A = 20300(1 - 0.33)^t

A = 20300(0.67)^t

Therefore, in 2007,

t = 2007 - 1997 = 10 years

The value would be

A = 20300(0.67)^10

A = $370

6 0
2 years ago
Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x is not equal to 0,y is not equal to 0
VladimirAG [237]
I am going to assume that "v" is meant to be a "y"
the answer is b. (3)/(5x^6 y^6)
7 0
2 years ago
Read 2 more answers
Write an arithmetic series for which S5 = 10.
Ludmilka [50]
S5=10 means the 5th number is 10. 
So the arithmetic sequence is s1, s2,s3, s4, 10
3 0
2 years ago
julie jot 21 of the 23 questions of her math test correct she got 29 of the 32 questions on her science test correct on which te
Alenkasestr [34]
Make\ a\ common\ denominator:\\\\\frac{21}{23}\ \ \ \ \ \ \ \ \frac{29}{32}\\\\\frac{21\cdot32}{23\cdot32}\ \ \ \ \ \ \ \frac{29\cdot23}{32\cdot23}\\\\\frac{672}{736}\ \ \ > \ \ \ \frac{667}{736}
5 0
2 years ago
Read 2 more answers
Determine the probability of randomly selecting two individuals who are issued exactly two credit cards.​ [Hint: Are the events​
pishuonlain [190]

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0
2 years ago
Other questions:
  • Paul buys a number of large sacks of fertilizer costing $x each
    14·1 answer
  • Describe the location of the vertex of the parabola relative to the x-axis. How many zeros does the polynomial have? Assume p &g
    12·1 answer
  • Find the volume of the rectangular prism.
    12·2 answers
  • Which point is a solution to the inequality shown in this graph? (0,1) (3,-1)
    11·2 answers
  • This unit focused, in part, on relationships in triangles. A triangle is the simplest type of polygon and is frequently used in
    10·2 answers
  • On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production emp
    11·1 answer
  • For which value of k are the points (0 -5) (6 k) and (-4 -13) collinear?
    8·1 answer
  • You have filed your taxes more than 60 days late which means you are subject to a penalty of $135 or 100% of your unpaid tax, wh
    12·2 answers
  • 3 Suppose Karl uses 5 cups of tomatoes. How many
    13·1 answer
  • After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!