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snow_lady [41]
3 years ago
15

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

crawls 1.5 centimeters left, 4.9 centimeters right, and 7.6 centimeters left. Where is the ant on the number line now?

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at      +3.0

Move left  <u> - 1.5 </u>

Now at       +1.5

Step  2

Start at           +1.5

Move right  <u> + 4.9 </u>

Now at         +6.4

Step 3

Start at      +6.4

Move left <u> - 7.6 </u>

Now at      -1.2

The ant is now at -1.2 cm.

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*math please help brainliest*
valentinak56 [21]

Answer:

\dfrac{3x+4}{2x-2}

Step-by-step explanation:

Invert and multiply the way you would any fraction division problem. Then cancel common factors from numerator and denominator.

\displaystyle\frac{\left(\frac{4x^2+2x}{x^2+x-2}\right)}{\left(\frac{8x^2+4x}{3x^2+10x+8}\right)}=\frac{4x^2+2x}{x^2+x-2}\cdot\frac{3x^2+10x+8}{8x^2+4x}\\\\=\frac{2x(2x+1)(3x+4)(x+2)}{4x(2x+1)(x-1)(x+2)}=\frac{3x+4}{2(x-1)}\\\\=\frac{3x+4}{2x-2}

4 0
3 years ago
A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th
Stels [109]

The height of the kite is 4.89 feet

Explanation

The length of the line attached to the kite=7 feet

The length of the shadow that is cast on the ground=5 feet

the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.

H=7 feet

b=5 feet

using pythagoras theorem

h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet

The kite is 4.89 feet above the ground

3 0
3 years ago
Does each equation represent exponential decay or exponential growth?
lisov135 [29]

Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

4 0
3 years ago
Please help with 2 Math questions. I dont really understand
lisabon 2012 [21]
For the first problem, the answer is D, because every year, the graph goes down by about $4,500.
For problem two, 
a. It's located in quadrant one because x and y are both positive (I've attached a graph with labeled quadrants for reference)
I'm unsure about b and c but I hope I helped with the others!
3 0
3 years ago
Whats the leastf 3/4, 4/5, and 2/3
timurjin [86]

Answer: 2/3

Step-by-step explanation: convert to same unit. 45/60, 48/60, 40/60

40/60<45/60<48/60

so 2/3 is least

4 0
3 years ago
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