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3 years ago

Can someone please help me!!!!

Mathematics

1 answer:

Schach [20]3 years ago

6 0

<h2>Answer:</h2>

its 83

i have no explanation

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the variable z is directly proportional to x. when x is 6, z has the value 18. what is the value of z when x = 10 the variable z

nikklg [1K]

Z $\alpha x$
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30

Part B;
Z $\alpha \frac{1}{x}$
z= $\frac{a}{x}$
Where x is a constant of proportionality,
when x=3, z=2
2= $\frac{a}{3}$
a=3*2
a=6
When x is 13,
Z= $\frac{6}{13}$

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3 years ago

Find the sum of the first 47 terms of the following series, to the nearest integer.

Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is 16 - 12 = 4

The difference between subsequent terms, 16, and 20 is 20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

$S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]$

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

$S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888$

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

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2 years ago

1 -sin^2x÷csc^1x=sinx^2<br>

Stella [2.4K]

Answer: 37

Step-by-step explanation:

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2 years ago

“Half of a number (n) is at least 22."<br> translate and solve

viktelen [127]

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

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3 years ago

-1 . (5) . (10) . (-4)

Ivanshal [37]

Sorry is this some sort of equation I’m confused

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3 years ago