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3 years ago

32pts and BRAINLIEST FOR BST ANSWER!!

Mathematics

2 answers:

Nataliya [291]3 years ago

4 0

Answer:

Step-by-step explanation:

B cause

dezoksy [38]3 years ago

3 0

Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a= First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

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What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...

natita [175]

Answer:

= - 1.5n - 6

Step-by-step explanation:

Given that the sequence is arithmetic with n th term ( explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5

= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6

Step-by-step explanation:

3 0

3 years ago

Write an equation in standard form of the hyperbola described.

marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$

5 0

2 years ago

) Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.

Kruka [31]

Answer:

q=(40-7)/3 or simplified q=11

Step-by-step explanation:

So we know that the perimeter is 40 inches and one of the sides is 7 so logically we do 40-7 to get the length of the three remaining sides combined. Then to find the length q, we have to divide that answer by 3 because the three sides have the same length or (40-7)/3, which simplified is 11, so the length of the side is 11 inches and the expression is q=(40-7)/3.

4 0

2 years ago

For questions 1 – 6, find the area of the circle to the nearest hundredth.<br> Any help appriciated!

Ganezh [65]

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

$A=\pi \times (11)^2\\\\A=380.13\ cm^2$

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

$A=\pi \times (15)^2\\\\A=706.85\ cm^2$

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

$A=\pi \times (2)^2\\\\A=12.56\ cm^2$

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=5x%2B3%5C%20%20%5Ctextless%20%5C%2016" id="TexFormula1" title="5x+3\ \textless \ 16" alt="5x+

LuckyWell [14K]

5x < 13 i think hope this helps

8 0

2 years ago