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2 years ago

What number should come next in the sequence? 0.8, 0.35, -0.1, -0.55, ... FASTTTTT

Mathematics

1 answer:

Setler [38]2 years ago

3 0

Answer:

-1

Step-by-step explanation:

0.35 - 0.8 = -0.45

-0.1 - 0.35 = -0.45

-0.55 - 0.45 = -1

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Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

y = 3x + 5

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

$y = 3x + 5$

7 0

3 years ago

Solve for x in the triangle<br> A 1.7<br> B 2.6<br> C 2.7<br> D 3.0

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given 2 sides and the included angle use the Cosine rule to solve for x

x² = 1.6² + 1.1² - (2 × 1.6 × 1.1 × cos78° )

= 2.56 + 1.21 - ( 3.52 × cos78° )

= 3.77 - 0.7318

= 3.0382

Take the square root of both sides

x = $\sqrt{3.0382}$ = 1.7 → A

3 0

3 years ago

Read 2 more answers

This problem says 2/3 plus 5/6 but how would you draw the 5/6

kramer

Change 3 to 6 and 2 to 4

Now Do

3/6 + 5/6 = ?

? = 8/6

8/6 = 1 2/6

1 2/6 = 1 1/3

6 0

3 years ago

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Briana has 4 1/2 cups of oats. She uses 2 1/4 cups of oats to make oatmeal- raisins cookies, then borrow 1 cup of oats from her

insens350 [35]

Answer:

She has enough with $\frac{3}{4}$ cups left over.

Step-by-step explanation:

For this equation, it's probably easiest to use improper fractions.

At the start, she has 4 $\frac{1}{2}$ cups, or $\frac{9}{2}$ , which can be converted to $\frac{18}{4}$ (which is useful for the next part) by multiplying the numerator and denominator by 2.

When she uses 2 $\frac{1}{4}$ cups, which can be converted to $\frac{9}{4}$ . When subtracting this from the original, you get $\frac{18}{4}$ - $\frac{9}{4}$ = $\frac{9}{4}$ .

She borrows another cup, or $\frac{4}{4}$ of a cup, which gets added on to the previous result, giving $\frac{9}{4}$ + $\frac{4}{4}$ = $\frac{13}{4}$ .

The recipe calls for 2 $\frac{1}{2}$ cups, which can be converted to $\frac{5}{2}$ or $\frac{10}{4}$ .

$\frac{13}{4}$ - $\frac{10}{4}$ = $\frac{3}{4}$ , meaning she has $\frac{3}{4}$ cups left over.

** solving this mainly uses conversion to improper fractions and adding/subtracting fractions, which may be skills you would like to practice. I'm always happy to help!

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3 years ago

Wiley is making monthly payments of $88.00 to pay off a loan that he took out to buy a fence, but he wants to pay off his loan f

bekas [8.4K]

Making larger monthly payments than required will pay off a loan faster. Thus, the answer is A.

6 0

3 years ago

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