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2 years ago

Evaluate the expression 10 + 2p - 3r, when p=3 and r=-2

Mathematics

1 answer:

dmitriy555 [2]2 years ago

7 0

Answer:

The expression is equal to 22

Step-by-step explanation:

Expression Evaluation

We are given the expression

10 + 2p - 3r

And it's required to evaluate it when p=3 and r=2. This means we have to replace the letter for the value assigned to them, as follows:

10 + 2*3 - 3*(-2) = 10 + 6 - (-6)

= 10 + 6 + 6

= 22

The expression is equal to 22

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4. Exercise 8.1.10 (2 points)(a) Find a recurrence relation for the number of bit strings of positive lengthnthat containthe bit

nikdorinn [45]

Answer:

T0 =0, T1=0

Step-by-step explanation:

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8 0

2 years ago

At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2, -5) and mo

creativ13 [48]

Answer:

Part a) The rule of the translation is (x,y) -----> (x+1,y+3)

Part b) The coordinates of the drummer's final position are (-1,-2)

Step-by-step explanation:

Part a) Write a rule to describe the translation

we know that

The lead drummer moved 3 steps up and 1 step right.

3 steps up ----> that means (y+3)

1 step right ---> that means (x+1)

The rule of the translation is equal to

(x,y) -----> (x+1,y+3)

Part b) What were the coordinates of the drummer's final position?

we know that

The drummer's initial position is the point (-2,-5)

Applying the rule of the translation

(x,y) -----> (x+1,y+3)

(-2,-5) -----> (-2+1,-5+3)

(-2,-5) -----> (-1,-2)

therefore

The coordinates of the drummer's final position are (-1,-2)

5 0

3 years ago

1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.

frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. $m = -\frac{23350}{13}$

c. $y = -\frac{23350}{13}x + 23350$

Step-by-step explanation:

Given

$Years = 13$

$Total\ depreciation = \$23350$

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

$m = \frac{23350}{13}$

Because it is depreciation, it means the slope represents a deduction.

So,

$m = -\frac{23350}{13}$

Solving (c): The straight line equation

The general format of an equation is:

$y = mx + b$

Where

$m = slope$

$b = y\ intercept$

In (a), we have that:

$y\ intercept = 23350$

In (b), we have that:

$Slope\ (m) = -\frac{23350}{13}$

Substitute these values in $y = mx + b$

$y = -\frac{23350}{13}x + 23350$

Hence, the depreciation equation is: $y = -\frac{23350}{13}x + 23350$

8 0

2 years ago

Convert 1.4x10^-8 to standard notation/long form

andriy [413]

Answer:

0.000000014

Step-by-step explanation:

1.4 × $10^{-8}$ = $\frac{1.4}{10^8 = 100000000}$ = 0.000000014

6 0

2 years ago

It is attached please help! Why is it c?

Sergeeva-Olga [200]

The answer is B.
The total hours worked is 5 x 8 teams is 40 hours x 2 cars per hour is 80 cars.
$600/80= $7.50 per car

6 0

3 years ago