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REY [17]
2 years ago
5

What is the product of the expression below? 4/7 × 5/8

Mathematics
1 answer:
12345 [234]2 years ago
5 0
4/7 x 5/8
Multiply numerators and denominators

= 20 / 56
Simply

= 5 / 14
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Whats 1 and 2/3 + 1 and 5/6​
Dima020 [189]
1 2/3 + 1 5/6

We’ll start by converting the 2/3 to 6ths so we have a common denominator.

Look at the denominator first. 3 x 2 is 6, so we need to multiply the numerator by 2 as well. 2/3 = 4/6.

So we have 1 4/6 + 1 5/6 = 2 9/6
But you know they’ll want you to reduce that so it’s 3 3/6...or 3 1/2.

Let me know where you have questions.
7 0
3 years ago
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If a right triangle is rotated around the longest leg, what three-dimensional figure is formed ?
azamat
A cylinder. If you imagine and draw it out it looks like a cylinder.
8 0
3 years ago
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Solve integral (2x-5)⁷ dx​
trapecia [35]

Answer: 128x^7dx-2240x^6dx+16800x^5dx-70000x^4dx+175000x^3dx-262500x^2dx+218750xdx-7812

Step-by-step explanation:

1) Expand : (2x-5\right)^7dxquad 128x^7dx-2240x^6dx+16800x^5dx-70000x^4dx+175000x^3dx-262500x^2dx

2) Distribute Parentheses

3) Apply your minus/plus rules

+(-a)= -a

128x^7dx-2240x^6dx+16800x^5dx-70000x^4dx+175000x^3dx-262500x^2dx+218750xdx-78125dx

4 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
4 years ago
Consider the function f(x)=10^x and function g(x)=f(x+4). How will the graph of function g differ from the graph of function f?
Jobisdone [24]

Answer:

Shifts 4 units to left

Step-by-step explanation:

Given:

\displaystyle \large{f(x)=10^x}\\\\\displaystyle \large{g(x)=f(x+4)=10^{x+4}}

Accorded to transformation rules:

  • f(x + a) is shift to left <u>a</u> units.
  • f(x - a) is shift to right <u>a</u> units.
  • f(x) + a is shift up <u>a</u> units.
  • f(x) - a is shift down <u>a</u> units.

Since function g is f(x + 4) then function g is the graph of function f(x) that shifts to left 4 units.

4 0
2 years ago
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