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3 years ago

Find the missing terms of the arithmetic sequence

Mathematics

2 answers:

Pavel [41]3 years ago

6 0

Answer:

missing terms are -2,3,8

Step-by-step explanation:

-7, ?, ?, ?, 13

To find missing terms we add last two term and divide it by 2

so that we will get middle term

$\frac{-7+13}{2} = \frac{6}{2} =3$

so sequence becomes

-7, ?, 3, ?, 13

Again we add -7 and 3 and then divide it by 2 to get middle number

$\frac{-7+3}{2} = \frac{-4}{2} =-2$

so sequence becomes

-7, -2, 3, ?, 13

Again we add 3 and 13 and then divide it by 2 to get middle number

$\frac{3+13}{2} = \frac{16}{2} =8$

-7, -2, 3, 8, 13

So, missing terms are -2,3,8

mina [271]3 years ago

6 0

Answer:

the missing terms are -2,3,8

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FH and IK aré parallel lines

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3 years ago

Use the empirical rule to solve the problem. ed's monthly phone bill is normally distributed with a mean of $65 and a standard d

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By the empirical rule, 84% of the distribution is below one standard deviation above the mean.

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4 years ago

Read 2 more answers

Ollivanders stuffed bear shop has 456 bears in stock exactly half of them Are made from wool how many wool does Mr.oillvander ha

PtichkaEL [24]

Answer:

228 of them are made from wool, but there is no enough information to determine how many would he has in stock.

Step-by-step explanation:

Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool

1/2 of 456 = 1/2 × 456 = 456/2 = 228.

That is 228 of them are made from wool.

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7 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed

N76 [4]

Answer:

the length of his shadow on the building is decreasing at the rate of 0.525 m/s

Step-by-step explanation:

From the diagram attached below;

the man is standing at point D with his head at point E

During that time, his shadow on the wall is y = BC

ΔABC and Δ ADE are similar in nature; thus their corresponding sides have equal ratios; i.e

$\dfrac{AD}{AB} = \dfrac{DE}{BC}$

$\dfrac{8}{12} = \dfrac{2}{y}$

8y = 24

y = 24/8

y = 3 meters

Let take an integral look at the distance of the man from the building as x, therefore the distance from the spotlight to the man is 12 - x

∴

$\dfrac{12-x}{12}=\dfrac{2}{y}$

$1- \dfrac{1}{12}x = 2* \dfrac{1}{y}$

To find the derivatives of both sides ;we have:

$- \dfrac{1}{12}dx = 2* \dfrac{1}{y^2}dy$

$- \dfrac{1}{12} \dfrac{dx}{dt} = 2* \dfrac{1}{y^2} \dfrac{dy}{dt}$

During that time ;

$\dfrac{dx}{dt }= 1.4 \ m/s$ and y = 3

So; replacing the value into above ; we have:

$-\dfrac{1}{12}(1.4) = - \dfrac{2}{9} \dfrac{dy}{dt}$

$\dfrac{dy}{dt} = \dfrac{\dfrac{ 1.4} {12 } }{ \dfrac{2}{9}}$

$\dfrac{dy}{dt} = {\dfrac{ 1.4} {12 } }*{ \dfrac{9}{2}}$

$\dfrac{dy}{dt} =0.525 \ m/s$

Thus; the length of his shadow on the building is decreasing at the rate of 0.525 m/s

7 0

3 years ago

Jim is 4 years older than mark if the sum of their ages is 44 find the age of each person

Nataliya [291]

Answer:

jim is 24 years old, Mark is 20 years old

Step-by-step explanation:

This prompt can be set up using this equation:

Let's represent Mark's age by variable m and Jim's age by variable J.

j + m = 44

m + 4 = j

m = j - 4

j + (j - 4) = 44

2j - 4 = 44

2j = 48

j = 24

So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.

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3 0

3 years ago