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anygoal [31]
1 year ago
13

a rectangle on a coordinate plane is translated 5 units up and 3 units to the left. which rule describes the translation?

Mathematics
2 answers:
andre [41]1 year ago
9 0
The correct answer is (x, y) → (x – 3, y + 5) 
Ymorist [56]1 year ago
5 0

The correct answer is c

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The value of which of these expressions is closest to e?
jeka57 [31]

Answer:

b

Step-by-step explanation:

8 0
1 year ago
Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The m
SVETLANKA909090 [29]

Answer:

B

Step-by-step explanation:

The average of paid time off is the sum of the paid time off (T) of each employee divided by the number of employees(n):

av = (∑T)/n

Thus, av is directly proportional to the sum of T and indirectly proportional to n. It means that if T raises, the average raises too. So, the manager must fire the employees who have the least number of days off, so T will increase.

4 0
1 year ago
A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
I am Lyosha [343]

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

7 0
1 year ago
The meat department of a supermarket sells ground beef in approximate 1 lb packages, but there is some variability. A random sam
grin007 [14]

Answer:

1.05 ± 0.05 lbs

Step-by-step explanation:

Hi!

We can calculate this interval with the z-score of the 90% which is (by convention) 1.645

The interval is calculated as follows:

x_m \pm 1.654(\frac{\sigma}{\sqrt n})

where x_m is the mean, σ the standar deviation and n is the number of samples:

replacing these values we get:

1.05 \pm (1.645 \times \frac{0.23}{\sqrt 65})\\1.05 \pm 0.046

*rounded to the first decimal*

1.05 ± 0.05

6 0
2 years ago
Use the table below to answer this question:
ruslelena [56]

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

m=\dfrac{3-(-3)}{2-(-1)}

m=\dfrac{3+3}{2+1}

m=\dfrac{6}{3}

m=2

Therefore, the correct option is D.

5 0
2 years ago
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