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2 years ago

If a mason can make 12 hollow blocks in 3 h, how many hollow blocks can he make in 10 h?

Mathematics

1 answer:

antoniya [11.8K]2 years ago

7 0

Answer:

40 hollow blocks

Step-by-step explanation:

12/3= 4 hollow blocks per hour

10x4=40 hollow blocks in 10 hours

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I'm struggling on calculus. PLEASE HELP ASAP. use red writing to help out.

andre [41]

Step-by-step explanation:

1. Given: a = 4t + 4

We know that

$a = \frac{dv}{dt} \: \: or \: dv = adt$

By definition, the integral of a power function x^n is

$\int {x}^{n} dx = \frac{ {x}^{n + 1} }{n + 1} + k$

Integrating the acceleration a, we get

$v = \int adt = \int(4t + 4)dt = 2 {t}^{2} + 4t + k$

where k = constant of integration. We know that v = 10 when t = 0 so when we do the substitution, we get k = 10 therefore, the final expression for v is

$v = 2 {t}^{2} + 4t + 10$

To find s, we need to integrate v. Knowing that

$v = \frac{ds}{dt} \: \: or \: s = \int v \: dt$

$s = \int(2 {t}^{2} + 4t + 10)dt$

$= \frac{2}{3} {t}^{3} + 2 {t}^{2} + 10t + k$

where k once again is the constant of integration. We know that s = 2 when t = 0, which gives us k = 2. Therefore, the final expression for s is

$s = \frac{2}{3} {t}^{3} + 2 {t}^{2} + 10t + 2$

2. The potential difference V between two boundaries a and b is given by

$V = \frac{q}{2\pi \epsilon_0 \epsilon_r} \int_{b}^{a} \frac{dr}{r}$

Note that the integral in the expression above can be rewritten and the integrated as

$\int_{b}^{a} \frac{dr}{r} =\int_{b}^{a} {r}^{ - 1} dr = \ln |a| - \ln |b|$

so the potential difference V is then J

$V = \frac{q}{2\pi \epsilon_0 \epsilon_r} \int_{b}^{a} \frac{dr}{r}$

$= \frac{2 \times {10}^{ - 6} }{2\pi (8.85\times {10}^{ - 12}) (2.77)}( \ln |20| - \ln |10| )$

$= 9000 \: V$

6 0

3 years ago

Solve x2 + 18x – 19 = 0 by completing the square.

OlgaM077 [116]

Answer:

x = 1, x = -19

Step-by-step explanation:

1) factorise

(x−1)(x+19)=0

2) equal to 0

x−1=0 or x+19=0

x=1 or x=−19

8 0

3 years ago

Read 2 more answers

When Kylie asked her grandfather how old he was, he replied, "the two digits in my age are the ages of your brother isaac and si

Kitty [74]

Answer:

Kylie's grandfather is 73 years old.

Step-by-step explanation:

Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac

Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.

Therefore from the given information we can say that

(10x + y) + x + y = 83

therefore 11x + 2y = 83

Let us take x = 7 then we get 77 + 2y = 83 $\Rightarrow$ y = 3

Therefore we can say Issac's age is 7

and Kendra's age is 3

and the age of Kylie's grandfather is 73.

6 0

3 years ago

Which equation has no solution?

Westkost [7]

Answer:

5 + 2(3 + 2x) = x + 3(x + 1) has no solution

Step-by-step explanation:

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4 years ago

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Raman and Raj go for a party each having Rs. 100, If they decide to expend Rs. 150, Then in how many ways they can make the paym

Oduvanchick [21]

Answer:

only 1 way

Step-by-step explanation:

both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain

8 0

3 years ago