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2 years ago

Is -3.45 closer to -3 or -4 on a number line please i really need help

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

5 0

Answer:

<u>-3.45</u> is closer to -3

Step-by-step explanation:

because, since it's negative the closer the negative number is closer to 0 its number is lower (-) like -4 is farther away from the 0 than -3.

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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference

allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

$\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}$

so that

$a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d$

$a_n=a_1+(n-1)d$

$33=8+(n-1)d$

$21=(n-1)d$

$n$ has to be an integer, which means there are 4 possible cases.

Case 1: $n-1=1$ and $d=21$ . But

$\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123$

Case 2: $n-1=21$ and $d=1$ . But

$\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123$

Case 3: $n-1=3$ and $d=7$ . But

$\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123$

Case 4: $n-1=7$ and $d=3$ . But

$\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123$

8 0

3 years ago

Are there any rules when solving compound inequalities?

zimovet [89]

Answer:

Yes bro

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

7 0

2 years ago

Write an equation in slope-intercept form for the line that has the given slope and

NARA [144]

Answer:

y = - x + 5 should be the answer. Hope this helps!

Step-by-step explanation:

8 0

2 years ago

Help me please!

masya89 [10]

Answer:

951.15 ltr

Step-by-step explanation:

first you convert inch into cm just to make things easier

1 inch = 2.54cm

so,

radius(r)= 24 inch = 24×2.54= 60.96cm≈ 61 cm

then calculate the volume of the sphere

i.e.

V = 4/3(πr³)= 4/3×22/7× 61³= 951158.47 cm³

Now that we have volume

we know that,

1 ltr = 1000cm³

sooo,

x ltr= 951158.47÷1000= 951. 15 ltr

8 0

3 years ago

Geometric or arithmetic <br> 10,100,1000,10,000

snow_lady [41]

Answer:

Geometric

Step-by-step explanation:

8 0

3 years ago

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