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4 years ago

How to solve this additional mathematics question ?

Mathematics

1 answer:

Sholpan [36]4 years ago

3 0

We can use some funky properties of integrals here to express the integral in terms of ones we already know. Note that,
$\int^4_1{[3f(x)+2]}dx = 3\int^4_1f(x) dx + \int2dx$ then,
$=(3 \times 10) + \int^4_1{2}dx$ , since we know the value of $\int^4_1f(x)_$ .

I will leave you to complete the remaining, easy steps.

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a 10-foot section of a certain rope weighs 8 ounces. What is the length, in feet, of a section that weights 3 pounds? can you pl

Ostrovityanka [42]

Create and solve an equation of ratios:

10 ft 8 oz
------- = -------
x 48 oz (note that 3 lb = 48 oz)

Then 480 = 8x, and x = 60 ft (answer)

6 0

3 years ago

A scientist had 3 1/2 liters of vinegar. He poured 2/3 of the vinegar into beaker. He then used 3/5 of the vinegar in the beaker

valentinak56 [21]

Answer:

A)2100 ml

Step-by-step explanation:

Given total vinegar is 3 1/2 liters and the used vinegar is 3/5 of the vinegar in the beaker:

#First calculate the amount of vinegar not poured in the beaker:

$V_o=V_t-V_b\\\\=3\frac{1}{2}(1-\frac{2}{3})\\\\=1\frac{1}{6}$

#Calculate amount of vinegar used in experiment:

$V_b=\frac{2}{3}V_t=\frac{2}{3}(3\frac{1}{2})=2\frac{1}{3}\\\\V_u=\frac{3}{5}V_b=\frac{3}{5}\times 2\frac{1}{3}=1\frac{2}{5}$

#The unused vinegar is therefore calculated by subtracting the used vinegar from the total at the start of the experiment:

$V_r=V_t-V_u\\\\=3\frac{1}{2}-1\frac{2}5}\\\\=2\frac{1}{10}\times 1000\ ml\\\\=2100\ ml$

Hence, the unused vinegar is 2100 ml

8 0

3 years ago

Staci has seven more cats than Taylor. Write an expression that illustrates how many cats Staci has. Use X to represent the numb

Tanzania [10]

Answer:

x + 7

Step-by-step explanation:

If the amount of cats Taylor has is x and Staci has 7 more cats you are basically adding 7

so since The amount of Taylor's cats are x and you are adding 7 it would be written as

x+7

8 0

3 years ago

How many ways can 7 paintings be lined up in a wall

svetlana [45]

7x6x5x4x3x2x1 = 5040

6 0

3 years ago

Read 2 more answers

You go to a restaurant with 3 friends the total bill is 90 you pay 6% tax and add 20% tip what do you pay

pshichka [43]

$90 ×.06=5.40
$95.40×.20=19.08
95.40+19.08=114.48
114.48/3=38.16
Each person pays 38.16
check your work 38.16×3=$114.48

You pay $38.16 for your bill unless your friends stiff you.

3 0

3 years ago