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Radda [10]
3 years ago
13

Make x the subject 5y + 2x = 25

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

x = -5/2 y +25/2

Step-by-step explanation:

5y + 2x = 25

Subtract 5y from each side

5y + 2x -5y= -5y+25

2x = -5y +25

Divide by 2

2x/2 = -5y/2 +25/2

x = -5/2 y +25/2

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Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:
puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

<em>Y</em> = dependent variable

X_{1} and X_{2} = independent variables

X_{1}X_{2} = interaction term

b_{1},\ b_{2}\ and \ b_{3} = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}

Y_{i} = dependent variable

D_{1i} and D_{2i} = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables D_{2i}, i.e. the gender of the i^{th}person.

Thus, the correct option is (A).

3 0
3 years ago
Your college roommate receives a pay raise at her part-time job from $9 to $11 per hour. She used to work 25 hours per week, but
Fynjy0 [20]

Answer:

d. backward sloping.

Step-by-step explanation:

The roommate receives a pay raise at her part-time job from $9 to $11 per hour and now decides to work 20 hours per week instead to 25 hours per week.

We can see that her rate is decreasing, so her labor supply curve is backward sloping or also called backward bending.

It is mostly found that worker's labor supply curve, slopes upward when they get lower wages and the curve bends backward when they get higher wages because a worker tends to work less when his wage rate rises.

6 0
3 years ago
Can someone please help me
mixas84 [53]

Answer:

1/3

Step-by-step explanation:

The slope of a line is rise over run, aka. rise/run. You will need to "rise" 1 unit up and "run" three units to the right to reach the next point.

5 0
3 years ago
2+10²× 1 ( I put a lot of Points )
Brilliant_brown [7]

Answer:

= 2+10²× 1

= 2+(10*10)× 1

= 2+100×1

= 2+100

=102

8 0
3 years ago
Read 2 more answers
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