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3 years ago

What is the value of u?

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

u=50

Step-by-step explanation:

the angles of a triangle must add up to 180 degrees so set up the equation:

180=(u+48)+(u-14)+(u-4)

180=3u+30

150=3u

u=50

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Which statement are correct about the two-way frequency?

agasfer [191]

A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.

B. False. The row categories are "students" and "teachers"

C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.

D. False. The value 32 represents the number of students who wear glasses. See row1, column1

E. True. Look at the last value of the "teachers" row.

===================================================

In summary, the answers are: C and E

5 0

3 years ago

Read 2 more answers

For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[

Ivenika [448]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

$1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}$

Solve point 1 that is $\sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\$ :

when,

$k= 1 \to s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\$

$= \frac{1}{2} - \frac{1}{3}\\\\$

$k= 2 \to s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\$

$= \frac{1}{3} - \frac{1}{4}\\\\$

$k= 3 \to s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\$

$= \frac{1}{4} - \frac{1}{5}\\\\$

$k= n^ \to s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\$

Calculate the sum $(S=s_1+s_2+s_3+......+s_n)$

$S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\$

$=\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\$

When $s_n \ \ dt_{n \to 0}$

$=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\$

$\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}$

In point 2: $\sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}$

when,

$k= 1 \to s_1 = \frac{1}{(1+6)(1+7)}\\\\$

$= \frac{1}{7 \times 8}\\\\= \frac{1}{56}$

$k= 2 \to s_1 = \frac{1}{(2+6)(2+7)}\\\\$

$= \frac{1}{8 \times 9}\\\\= \frac{1}{72}$

$k= 3 \to s_1 = \frac{1}{(3+6)(3+7)}\\\\$

$= \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\$

$k= n^ \to s_n = \frac{1}{(n+6)(n+7)}\\\\$

calculate the sum: $S= s_1+s_2+s_3+s_n\\$

$S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\$

when $s_n \ \ dt_{n \to 0}$

$S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066$

$\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}$

8 0

3 years ago

If x= 2 what does y equal

Ivahew [28]

Answer:6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

y would equal -6.

4.8(2)+1.2(y)=2.4

9.6 + 1.2y = 2.4 subtract 9.6 from both sides

1.2y = - 7.2 divide by 1.2 on both sides

y = -6

3 0

3 years ago

Determine if the sequence is Arithmetic or Geometric:<br> 16, 8, 4, ?

IgorC [24]

Answer:

It is geometry

Step-by-step explanation:

8 0

2 years ago

36.24 divided by 9.06 is equal to<br><br> i need step by step

Bezzdna [24]

Answer:

Step-by-step explanation:

if 36.24 is divided by 90.6 can be 9.06

36.24÷9.06

or by other style

36.24×100=3624

90.6×100= 9060

according to the question

36.24÷90.6 or 3624÷9060

=4 or 0.4

3 0

3 years ago