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Talja [164]
3 years ago
8

For what value of a is (a,9) a solution for the equation y=2x+1?

Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

Step-by-step explanation:

(a,9).......we dont know " a " (or x) but we do know y...it is 9

so sub in 9 for y and solve for x

y = 2x + 1

9 = 2x + 1

9 - 1 = 2x

8 = 2x

8/2 = x

4 = x <======= ur answer is D

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Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can de
8090 [49]

Answer:

B

Step-by-step explanation:

From the given information:

Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.

This implies that:

8x + 3(1) = 8x + 3

Also,

If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;

i.e.

6(x) + 4(1) = 6x + 4

So;

the model that can determine when Sienna will have the same amount as Jacob is:

8x + 3 = 6x + 4

7 0
3 years ago
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53x – 4 = 30<br> O 10/3<br> O 40/3<br> 40<br> 10
Alekssandra [29.7K]

Answer:

53x - 4 = 30

53x = 30 +4

53x = 34

x= 34/53

I don't see a answer that matches the answer to the problem that you stated.  Check problem.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

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3 years ago
13. y =<br> -x2 + 12x - 5<br> Axis of symmetry (aos):
marissa [1.9K]

Answer:

Slope = 24.000/2.000 = 12.000

When y = 0 the value of x is 5/-12 the line therefore crosses the x axis at x=-0.41667

x-intercept = 5/-12  = -0.41667

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3 years ago
On a map, 3 cm represents 35 miles. What is the actual distance if two cities are 6.5 cm apart on the map?
Lina20 [59]

Answer:

75 miles

Step-by-step explanation:

35 times 2= is 70

so 6 cm is 70

plus 5 for the .5

so 70+5= 75

6 0
3 years ago
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