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Ede4ka [16]
3 years ago
8

Solve. 2x+4 3 b. x 1/3 d. x< 1/3

Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

Step-by-step explanation:

LOL I WHICH I COULD SOLVE THAT

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In New York State, the minimum wage has grownexponentially. In 1966, the minimum wage was$1.25 an hour and in 2015, it was $8.75
Alona [7]

The Solution.

In 1966, which is the initial year(t); t = 0, and minimum wage(y), y = $1.25

Similarly.

In 2015, t = 49 years , (that is, 1966 to 2015), and y = $8.75

The rate of growth to the nearest percent is

\text{Rate of growth =}\frac{y_2-y_1}{t_2-t_1}\times100\begin{gathered} \text{Where y}_2=8.75,t_2=49\text{ years} \\ y_1=\text{ \$1.25},t_1=0 \end{gathered}

Substituting into the formula above, we get

\text{Rate of growth =}\frac{8.75-1.25}{49-0}\times100\text{Rate of growth = }\frac{7.5}{49}\times100=15.31\approx15\text{ \%}

Hence, the correct answer is 15%

8 0
1 year ago
A standardized test that colleges use to make admissions decisions is the _____.
Aloiza [94]

Answer:

D

Step-by-step explanation:

EXPLORE test is the college test ACT's "prep" version mostly for 8th and 9th graders.

ASVAB (Armed Services Vocational Aptitude Battery) test is used for military entrance exam.

PLAN is also like EXPLORE that it is a "prep" test for ACT but usually given to sophomore (10th grade) students. This has been discontinued from 2014, though.

SAT is a standardized test administered by College Board and is a widely used common Undergraduate University admissions exam. Colleges use this to make admissions decisions.

Thus, D is the correct choice.

7 0
3 years ago
Read 2 more answers
4x + 3y = 6<br> 3x + 5y = -1<br> Solve the simultaneous equations.<br><br> y= <br> z=
Kisachek [45]

Answer:

x=3, y= -2

Step-by-step explanation:

Multiplying :

(4x+3y =6)*-3

(3x+5y =-1)*4

-12x -9y= -18

12x+20y= -4

Add the equations

20y-9y = -4-18

11y = -22

y= -22/11 = -2

3x +5* -2= -1

3x -10 = -1

3x = 10-1

x= 9/3 =3

4 0
2 years ago
2х + Зу = 3 y = 8 – 3х​
GaryK [48]

Answer: Point form: ( 3 , -1 )

              Equation form: X= 3 and Y= -1

Step-by-step explanation:

6 0
2 years ago
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of th
Leno4ka [110]

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

  • The bearing of the buoy from the is approximately <u>307.35°</u>

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}

Therefore;

\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}

Which gives;

\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}

Similarly, we can get;

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}

The angle subtended by the distance of the buoy from the port, <em>C</em> is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ <u>307.35°</u>

Learn more about bearing in mathematics here:

brainly.com/question/23427938

5 0
2 years ago
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