All categories

3 years ago

If z varies directly as x and z=30 when x=8 fine z when x=4

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

So for this one all you have to do is use the formular

Z*k=x

30k=8

K=4/15

Then when x=4

4/15x=4

So x=15

You might be interested in

Write a recursive rule and an explicit rule for the sequence 3,7,11,15

m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

$a_n=4n-1$

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

An explicit rule for the sequence

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 3 and d = 4

$a_n=4\left(n-1\right)+3$

$a_n=4n-4+3$

$a_n=4n-1$

Therefore, an explicit rule for the sequence

$a_n=4n-1$

6 0

3 years ago

Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common fa

Diano4ka-milaya [45]

I believed there is a typo error in the choices. Below I assume that the correct choices:

A. 9 (3+4)
B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)

The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.

8 0

3 years ago

A ladder 20 feet long leans against the side of a house. find the height from the top of the ladder to the ground if the angle o

Y_Kistochka [10]

Sine you know that the angle is eighty, you could use twenty times sin80. Sin 80 represents opposite of hypotenuse, so 20 is the hypotenuse, canceling the denominator out giving the height only.

3 0

3 years ago

Which shows two products that result in negative values

Zanzabum

Answer:

(2.4)(-1.8) and (0.6)(-0.4)

Step-by-step explanation:

The product of two negative numbers = a positive number. (negative × negative = positive).

Product of two positive numbers = a positive number. (Positive × positive = positive)

Product of a negative number and a positive number = a negative number. (Negative × positive = negative).

Therefore, the answer choice that shows two products that both will result in negative values would be the answer choice that has a negative number multiplying a positive number.

Option 3 has two products in which each has a negative and positive number. That is (2.4)(-1.8) = a negative value, and

(0.6)(-0.4) = a negative value.

Therefore, the answer is Option 3: (2.4)(-1.8) and (0.6)(-0.4)

5 0

3 years ago

If a = 3 and b=5, what is the value of a 2 + b 2? 0 6 + 10 0 84 082 9 + 25

kenny6666 [7]

Answer:

06 + 10

Step-by-step explanation:

a2 + b2

(3x2) + (5 x 2)

6 + 10

therefore option A is the correct answer

6 0

3 years ago