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3 years ago

Find the 94th term of the arithmetic sequence of -26, -37, -48

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

7 0

Answer:

Subtract 11 from each number.

Step-by-step explanation:

-26,-37,-48,-59,-70,-81,-92,-103,-114,-125,-136,-147,-158,-169,-180

So on and so forth.

Hope this helps! Pls give brainliest!

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Find the perimeter and area of the parallelogram.

Debora [2.8K]

2·20 + 2·24 = 88

20·24·SIN(60°) = 415.7

3 0

3 years ago

4.) Select ALL equivalent expressions to 5x – 5.5. a) 5x -55 c) 5(x - 1.1) b) 2x - 3 + 3x - 2.5 ) 5.5(x - 1)

lara [203]

Answer:

1. (-125 a - 5.75) x + b c (605 x - 550 x^2) + 10.75

2. -125 a x + x (-550 b c x + 605 b c - 5.75) + 10.75

3. 0.25 (-500 a x - 220 b c (10 x - 11) x - 23 x + 43)

Step-by-step explanation:

4 0

3 years ago

What is the product 3x5(2x2+4x+1)

lesya692 [45]

Answer:

$6x^7+12x^6+3x^5$

Step-by-step explanation:

The given expression is:

$3x^5(2x^2+4x+1)$

We expand the parenthesis using the distributive property to obtain;

$3x^5(2x^2)+3x^5(4x)+3x^5(1)$

Recall that;

$a^m\imes a^n=a^{m+n}$

We apply this property and multiply out the constant terms to obtain;

$6x^7+12x^6+3x^5$

3 0

3 years ago

Can you guys help me? The questions is... A soccer team eats lunch at a restaurant on the way to a tournament total cost of the

mr Goodwill [35]

Answer: The tip left for the servers was $14.80

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Total cost of the food (before tax) = $82.25 </em>
<em>Tip = 18% of the amount before the tax </em>

So, to calculate the tip we have to multiply the cost of the food before tax ($82.25) by the 0.18 (percentage in decimal form, 18/100= 0.18).

Mathematically speaking:

82.25 x 0.18 = $14.80

The tip left for the servers was $14.80

3 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago