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dmitriy555 [2]
3 years ago
10

The solid was created by connecting two congruent square pyramids to a rectangular prism.

Mathematics
2 answers:
lianna [129]3 years ago
7 0

Answer:

its c

Step-by-step explanation:

i just took the test b is wrong i promise

PtichkaEL [24]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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You are considering a 5/1 ARM. What does the 1 represent?
Lerok [7]

Answer:

  B. The number of years between adjustments in the interest rate

Step-by-step explanation:

The "5" in "5/1" means there will not be any adjustment in interest rate for the first 5 years.

The "1" in "5/1" means interest rates may be adjusted at 1-year intervals after the initial 5-year period.

8 0
3 years ago
Read 2 more answers
Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
4 years ago
The third term of an arithmetic sequence is 14 and the 9th term is -1. Find the first four terms of the sequence.​
Liula [17]

Answer:

The first four terms of the sequence are :  19, 16.5 , 14 , 11.5

Step-by-step explanation:

In the given sequence:

a(3) =  14, a(9)  = -1

The general term of a sequence in Arithmetic Progression is:

a(n) = a + (n-1)d

a(3) = a + (3 -1) d = a + 2 d

and a(9) = a + (9- 1 ) d = a  + 8 d

⇒   a + 2 d =  14      .........  (1)

and a + 8 d  = -1    ...........  (2)

Now, solving the given system of equation, we get:

From (1), a  = 14 - 2 d

Put in (2), we get:

a + 8 d  = -1                ⇒   14 - 2 d + 8d = -1

⇒  14 +   6d   = -1  

or,  6d = -1 -14 = -15

⇒  d = -15/6 = -2.5

or, d  = -2.5

Then a  = 14 - 2 d = 14 - 2(-2.5)  =14 + 5  = 19, or a  = 19

Now, first four terms of the sequence is:

a = 19

a(2) = a + 4 = 19 - 2.5 = 16.5

a(3) = a + 2d = 19 + 2(-2.5) = 19 - 5 = 14

a(4) = a  + 3d = 19 + 3(-2.5)  = 19  - 7.5  = 11.5

Hence, the first four terms of the sequence are :  19, 16.5 , 14 , 11.5

4 0
3 years ago
Find the function !!! 10 points - Help needed!
Arte-miy333 [17]
<h2>Hello!</h2>

The answer is:

The first option,

f^{-1}(x)=\frac{x-2}{4}

<h2>Why?</h2>

To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".

We are given the function:

f(x)=4x+2

Write "f(x)" is equal to write "y", so:

y=4x+2

Now, finding the inverse, we have:

y=4x+2\\x=4y+2\\x-2=4y\\y=\frac{x-2}{4}

Hence, we have that the answer is the first option,

f^{-1}(x)=\frac{x-2}{4}

Have a nice day!

4 0
3 years ago
Read 2 more answers
Please help me again
shusha [124]

Answer:

BC is 25 units

Step-by-step explanation:

AB = AC

4x + 4 = 6x - 14

4x + 4 - 4x + 14 = 6x - 14 - 4x + 14

18 / 2 = 2x / 2

9 = x

2(9) + 7

18 + 7

25

Answer:  BC is 25 units

5 0
3 years ago
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