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3 years ago

Identify the 33rd term of the arithmetic sequence 9, 7 1/2, 6.

1 answer:

7 0

The formula of arithmetic sequence is expressed in the following manner:
<span>an = a1 + d*(n-1) where d is the difference and n is an integer.
substituting,
7 = 9 + d*(2-1)
d= -1.5

hence,
a33 = 9 - 1.5*(33-1)
a33 = -39</span>

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−7x−50≤−1 AND−6x+70>−2

fgiga [73]

Answer:

$-7\geq x$ and $[-7,12)$ in interval notation.

Step-by-step explanation:

We have been given a compound inequality $-7x-50\leq -1\text{ and }-6x+70>-2$ . We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

$-7x-50\leq -1$

$-7x-50+50\leq -1+50$

$-7x\leq 49$

Dividing by negative number, flip the inequality sign:

$\frac{-7x}{-7}\geq \frac{49}{-7}$

$x\geq -7$

$-6x+70>-2$

$-6x+70-70>-2-70$

$-6x>-72$

Dividing by negative number, flip the inequality sign:

$\frac{-6x}{-6}$

$x$

Upon merging both intervals, we will get:

$-7\geq x$

Therefore, the solution for our given inequality would be $-7\geq x$ and $[-7,12)$ in interval notation.

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3 years ago

What is the area of this?

11111nata11111 [884]

192
i did that test before

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3 years ago

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

Readme [11.4K]

Answer:

Area of parallelogram is 150 square ft

Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is $base \times height$

= $15\times 10ft^2$

= 150 square ft

now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

$KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2} =100+4=104$

⇒ $KL=\sqrt104=10.2 ft=MN$ (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.

5 0

3 years ago

Ben has 3 times as many guppies as goldfish. If she has a total of 20 fish how many guppies does she have

Thepotemich [5.8K]

Guppies 15
Gold Fish 5

5 x 3=15

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3 years ago

Please finish this equation and write the answer

olga55 [171]

Given:

The equation is:

$2540=\dfrac{22}{7}r^2(20)$

To find:

The solution for the given equation.

Solution:

We have,

$2540=\dfrac{22}{7}r^2(20)$

It can be written as:

$\dfrac{2540\times 7}{22\times 20}=r^2$

$\dfrac{17780}{440}=r^2$

$\dfrac{889}{22}=r^2$

Taking square root on both sides, we get

$\sqrt{\dfrac{889}{22}}=r$ [Radius cannot be negative]

$r=6.3568145$

$r\approx 6.36$

Therefore, the value of r is about 6.36 cm.

7 0

3 years ago