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Mademuasel [1]
3 years ago
13

Can someone please help me with this I'm really stuck!!!

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285

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What is the solution for 3(3-3x) = 2(x+3) - 30
Alex787 [66]

Answer:

x=3

Step-by-step explanation:

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3 years ago
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The graph below shows the solution to which system of inequalities?<br> 10-<br> TO<br> 10<br> -10
Alona [7]
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3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,00
ss7ja [257]

Answer:

The test statistics is   z = -1  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  H_o : \mu = \$30000

   The alternative hypothesis is  H_a  :  \mu  < \$ 30000

   The sample mean is  \= x  = \$29,750

    The standard deviation is  \sigma  = \$2,500

    The level of significance is  \alpha =0.05

Generally the test statistics is mathematically represented as

        z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

=>      z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }

=>      z = -1    

7 0
3 years ago
Could I have some help on my patterns assignment​
nydimaria [60]

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

<em>Conjecture:</em> Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

<em>Conjecture:</em> Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

<em>Conjecture:</em> Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

<em>Conjecture:</em> Each term is the next consecutive prime number.

5. <u><em>Correct as is</em></u>

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

<em>Conjecture:</em> Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

<em>We add 5 to each number</em>

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

<em>Divide each number by 2</em>

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

<em>We have to cube n:</em>

<u><em>n³ = consecutive number cubed</em></u>

<u><em></em></u>

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: <u><em>Consecutive prime numbers are those that have no gaps or prime numbers between them.</em></u>

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

<em>We must add the two previous numbers to get the next term:</em>

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

8 0
1 year ago
Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial
Diano4ka-milaya [45]

Answer:

not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = 2x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

3 0
3 years ago
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