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3 years ago

Help pleaseeeeeeeeeeee

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer:

Step-by-step explanation:

3 visually has the greatest slope Distance / time = greatest speed...

Here are the speeds (as I read the graph, always double check my work)

1) is 10m / 4s 2.5 m/s

2) is 15m / 4s 3.75 m/s

3) is 30m / 2s 15 m/s

4) is 5m / 4s 1.25 m/s

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The temperature of a cup of coffee t minutes after it has been poured is described by the function C(t) = 20 + 60(0.95)^t . a. H

scoundrel [369]

The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.
120 = 120(2 ^ 10a) + 60 
2 ^ -1 = 2 ^ 10a 
a = -1/10 
The temperature of coffee 30 minutes after it was poured is: 
F = 120 ( 2 ^ -30/10) + 60 
F = 120 * 1/ 8 + 60 
F = 15 + 60 
F = 75

4 0

3 years ago

In the figure, is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). M

zheka24 [161]

Answer:

Step-by-step explanation:

We will use mid point formula:

According to the attached picture:

F is the mid point of A and B.

Thus by using formula we have,

F = (2+10)/2 , (4+6)/2

= 12/2 , 10,2

= 6,5

F should be (6,5)

Like wise the matched coordinates are:

D is the midpoint of A and F and is (4,4.5)

C is the midpoint of A and D and is (3,4.25)

E is the mid point of D and F and is (5,4.75)

H is the midpoint of F and B and is (8,5.5)

G is the midpoint of F and H and is (7, 5.25)

I is the midpoint of H and B and is (9,5.75) ..

5 0

3 years ago

What is the relationship between angle a and angle b A) Vertical Angles B) Complementary Angles C) Supplementary Angles D) None

lesya692 [45]

Answer:

B. Complementary Angles

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7

krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, $\bar{x}$ = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

$H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000$

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)$

The lower limit of 95% confidence interval is 99002.

6 0

4 years ago

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Svetllana [295]

The equation $x^{2} -4=0~~and~~4x^2=16$ are true for x = -2 and x = 2.

The given equations are given as:

$x^2-4=0\\\\x^2=-4\\\\3x^2+12=0\\\\4x^2=16\\\\2(x-2)^2=0$

We need to select two equations that are true for x = -2 and x = 2.

<h3>What are the solutions to an equation ?</h3>

The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.

Example:

x - 2 = 2

Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.

4 - 2 = 2

2 = 2

Let's find the solutions for each equation.

$x^2 - 4=0$