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2 years ago

Leah claims the data in the table contains a cluster. why is leah’s statement true

Mathematics

2 answers:

Gre4nikov [31]2 years ago

8 0

Answer:

Step-by-step explanation:

Andreas93 [3]2 years ago

8 0

Answer:

Step-by-step explanation:

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A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a

Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

Given : A heated piece of metal cools according to the function $c(x)=(0.5)^{x-7}$ , where x is measured in hours and then a cooling device id added that aids in cooling according to the function $h(x)=-x-2$

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, $w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\$ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

$w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)$

Solving , we get,

$w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28$

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

7 0

2 years ago

Read 2 more answers

Given: Lines p and q are parallel and r is a transversal.

KengaRu [80]

Answer:

The statement A is Angle 2 is congruent to angle 3

The statement is Angle 3 is congruent to angle 7

Step-by-step explanation:

The given information are;

The given parallel lines = p and q

The given transversal = r

The angles from the top left at the intersection of p and r = 1, 2, 4, 3

The angles from the top left at the intersection of q and r = 5, 6, 8, 7

The 2-column table is presented as follows;

Statement ${}$ Reasons

p is parallel to q and r is a transversal ${}$ Given

A ${}$ Vertical angles are congruent

B ${}$ Correlated angle theorem

Angle 2 is congruent to angle 7 ${}$ Transitive property

We have the orientation of the angles given as follows;

1, 2

3, 4

5, 6

7, 8

Therefore, we have;

A = Angle 2 is congruent to angle 3 ${}$ Vertical angles are congruent

B = Angle 3 is congruent to angle 7 ${}$ Correlated angle theorem

To give;

Statement ${}$ Reasons

p is parallel to q and r is a transversal ${}$ Given

Angle 2 is congruent to angle 3 ${}$ Vertical angles are congruent

Angle 3 is congruent to angle 7 ${}$ Correlated angle theorem

Angle 2 is congruent to angle 7 ${}$ Transitive property

8 0

2 years ago

Read 2 more answers

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute

zavuch27 [327]

for the above question, we can first convert the fractions to decimals to make it easier to work with

1/10 of sand - 0.1 ton

4/5 minute - 0.8 minute

Q1 -

ratio

0.1:0.8

since the ratio is in decimals we can convert it to whole numbers by multiplying by 10

1:8

Q2. amount of sand added in 0.8 minutes - 0.1 ton

amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons

7 0

2 years ago

Imani’s rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase from $825 to 875. Who ha

REY [17]

No sure sorry i just need my question answered have a good day:)

7 0

1 year ago

{[(8-3)x2]+[5x6)-5]} divided by five

Kobotan [32]

{[(8 - 3) * 2] + [(5 * 6) - 5]} / 5 =
= {[2 * 8 + 2 * (-3)] + 30 - 5} / 5 =
= [(16 - 6) + 25] / 5 =
= (10 + 25) / 5 =
= 35 / 5 =
= 7

Brackets make it look complex but it's not that bad at all :)

6 0

1 year ago

Read 2 more answers