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Vladimir [108]
3 years ago
12

2y = 3/2 (16x+18) - 7

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
5 0

Answer:

y = 12x + 10

X = y/12 - 5/6

ruslelena [56]3 years ago
5 0

Answer:

y = 12x + 10

x = (y-10)÷12

Step-by-step explanation:

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Twelve less than a number is -3. find the number
weqwewe [10]

Answer:

9

Step-by-step explanation:

x-12= -3

x= -3+12

x=9

5 0
3 years ago
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Point giveaway. Answer something random and you will get 17 points.
dlinn [17]

Answer:

sorry i was confused lol

5 0
2 years ago
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HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.
AVprozaik [17]

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

(x,y)\rightarrow (x-2,y)

and then reflected over the y-axis,

(x-2,y)\rightarrow (-x+2,y)

The relation between image and preimage is

(x,y)\rightarrow (-x+2,y)                          ..... (1)

The vertices of image are

S(-4,4)\rightarrow S'(6,4)

T(-1,4)\rightarrow T'(3,4)

R(-1,1)\rightarrow R'(3,1)

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

(x,y)\rightarrow (-x+2,y)

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

(x,y)\rightarrow (-x+2,y)

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

(x,y)\rightarrow (-x-2,y)

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

(x,y)\rightarrow (-x-2,y)

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

(x,y)\rightarrow (x+2,-y)

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

(x,y)\rightarrow (x+2,-y)

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

8 0
2 years ago
Read 2 more answers
You took a sample and calculated the following sample statistics: n = 5 x = 0 Q 1 = 0 M o d e = 0 s 2 = 2 Construct a set of sam
Andreyy89

Answer:

hhnnnuuurrgggh

Step-by-step explanation:

5 0
3 years ago
A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of
svp [43]

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

#SPJ4

8 0
1 year ago
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