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Reika [66]
3 years ago
6

Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?

Mathematics
2 answers:
katovenus [111]3 years ago
5 0

Answer:

12000 meters

Step-by-step explanation:

Mkey [24]3 years ago
4 0

Answer:

12,000 m

Step-by-step explanation:

1 km = 1000 m

12 km = 12 * 1 km = 12 * 1000 m = 12,000 m

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I still need help with similar question
KatRina [158]

Step-by-step explanation:

<u>Step 1:  Determine the axis of symmetry</u>

The axis of symmetry is middle of the parabola.  In this equation we see that at x = -1 we have the vertex and also the middle of the parabola.  So our axis of symmetry is x = -1.

<u>Step 2:  Determine the vertex</u>

The vertex is the minimum or maximum of a parabola and is bent in a crest form.  In this example the vertex is at (-1, -3) because we are using the tip of the graph.

<u>Step 3:  Determine the y-intercept</u>

The y-intercept is where the graph intersects with the y-axis.  In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.

<u>Step 4:  Determine if the vertex is a min or max</u>

Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.

<u>Step 5:  Determine the domain</u>

The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.

<u>Step 6:  Determine the range</u>

The range is the y axis and what y values we are able to reach using the graph.  In this example we can see that all y-values above -3 are not being used therefore the range is y \leq -3

3 0
2 years ago
A color printer prints 29 pages in 12 minutes.<br> How many minutes does it take per page?
Julli [10]

Answer:

b b

Step-by-step explanation:v gv g

8 0
3 years ago
Read 2 more answers
The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dis
In-s [12.5K]

Answer:

Step-by-step explanation:

an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case

y=200(1.18)^x

5 0
3 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
Y=-3(x+4)² + 1<br> Vertex to standard
Bess [88]

Answer:

Correct

Step-by-step explanation:

7 0
3 years ago
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