Find the slope of the line between the points (-2, 7) and (10, 3)

Answers

Answer 1

Answer:

Answer:

m = -1/3

Step-by-step explanation:

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the drama club held tryouts for 6 roles in a one-act play. five people auditioned for lead female, 3 for lead male, 8 for the best friend, 4 for the mother, 2 for the father, and 3 of the humorous aunt. how many different casts can be created from those who auditioned?
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On are recent 160 mile road trip ciara's car used 7 3/4 gallons of gas. how many gallons should she expect to use on a 250 mile road trip

Answers

Answer:

12.11 gallons

Step-by-step explanation:

Ciara's car used gas on 160 mile road trip = $7(3)/(4)$ gallons

= $(31)/(4)$ gallons

Ciara's car used gas on 1 mile road trip = $((31)/(4))/(160)$

= $(31)/(4)* (1)/(160)$

= $(31)/(640)$ gallons

Ciara expect to use on a 250 mile road trip = $(31)/(640)* 250$

= $(775)/(64)$

= $12(7)/(64)$

≈ 12.11 gallons

Ciara should expect to use $12(7)/(64)$ or 12.11 gallons of gas.

Ciara should expect to usr 10 2/4 gallons of gas

6. Which of the following is NOT coterminal to 337°?23 deg
697 deg
-23 deg
-383 deg

Answers

Answer:

23º is not coterminal to 337º

Step-by-step explanation:

The coterminal angles ( $\theta$ ) of 337º can be represented as:

$\theta=337\º+360\ºn, n \in \mathbb{Z}$

If $n=1$

$\theta=337\º+360\º\n\theta=697$

If $n=-1$

$\theta=337\º-360\º\n\theta=-23$

If $n=-2$

$\theta=337\º-720\º\n\theta=-383$

Final answer:

The angle that is not coterminal with 337° is -383°. Coterminal angles differ by a multiple of 360°. The angles coterminal with 337° include -23°, 337°, and 697°.

Explanation:

In mathematics, two angles are said to be coterminal if they measure the same position when you start from the initial side and rotate to the terminal side. They differ by an integral multiple of 360°.

So, to find the angles that are coterminal with 337° we can add and subtract multiples of 360°. The options given are 23°, -23°, 697°, and -383°.

Adding and subtracting multiples of 360° from 337° gives us the following coterminal angles: -23°, 337°, 697°.

Therefore, the angle that is NOT coterminal to 337° is -383°

Learn more about Coterminal Angles here:

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What is 1/10 of 0.04

Answers

We could write the fractions as decimals.
$.1 * .04 = .004 = (4)/(1000)$

The answer is .004 or 4/1000.

The answer is 0.4 and I am sure because I got is correct, so trust me

Suppose that you flip a coin 13 times. What is the probability that you achieve at least 5 tails?

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Heads, or tails. It's 1/2 a chance, because either way you will either land heads or tails. It would be a probability of 1-(1/2)^5. Can you solve that?

Solve, log.5^4+log4^.5

Answers

First, let's expand the logarithms.
$log _(5) 4+log_(4)5 = (log4)/(log5)+(log5)/(log4)$
This because $log_(y)x$ is equivalent to $(logx)/(logy)$
From there, you need to use a calculator to find the exact numerical value.
$(log4)/(log5)+(log5)/(log4) = 2.02231716359$

Graph the equation. y-4=1/4(x-1)²

Answers

y-4=1/4*(x-1)²
y=1/4(x-1)²+4
the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)

y - 4 = ¹/₄(x - 1)²
y - 4 = ¹/₄(x - 1)(x - 1)
y - 4 = ¹/₄(x² - x - x + 1)
y - 4 = ¹/₄(x² - 2x + 1)
y - 4 = ¹/₄(x²) - ¹/₄(2x) + ¹/₄(1)
y - 4 = ¹/₄x² - ¹/₂x + ¹/₄
+ 4    + 4
   y = ¹/₄x² - ¹/₂x + 4¹/₄
¹/₄x² - ¹/₄x + 4¹/₄ = 0
x = -(-¹/₄) +/- √(-¹/₄)² - 4(¹/₄)(4¹/₄))
   2(¹/₄)
x = ¹/₄ +/- √(¹/₁₆ - 4¹/₄)
¹/₂
x = ¹/₄ +/- √(4³/₁₆)
   ¹/₂
x = ¹/₄ +/- 2.046
   ¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092 x = ¹/₂ - 4.092
x = 4.592 x = 3.592

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