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2 years ago

Help on number 1. ???

Mathematics

2 answers:

Lemur [1.5K]2 years ago

8 0

The answer would be c, because 19 divided by two would be the way she would see how many favors she could make.

DaniilM [7]2 years ago

6 0

The answer to this problem is c

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The population of a wildlife habitat is modeled by the equation LaTeX: p\left(t\right)=\frac{360}{1\:\:+\:\:6.2e^{-0.35t}} p ( t

Ksivusya [100]

Answer:

50 animals.

Step-by-step explanation:

We have been given that the population of a wildlife habitat is modeled by the equation $p(t)=\frac{360}{1+6.2e^{-0.35t}}$ , where t is given in years. We are asked to find the the number of animals originally transported to the habitat.

To find the the number of animals originally transported to the habitat, we will substitute $t=0$ in our given equation as:

$p(0)=\frac{360}{1+6.2e^{-0.35(0)}}$

$p(0)=\frac{360}{1+6.2e^{0}}$

$p(0)=\frac{360}{1+6.2(1)}$

$p(0)=\frac{360}{7.2}$

$p(0)=50$

Therefore, 50 animals were originally transported to the habitat.

6 0

2 years ago

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

7 0

3 years ago

The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to

blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

so that, tan 52 = 45/x

x = 45/tan52

x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

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4 0

1 year ago

You bought a magazine for $5 and some notepads for $4 each. You spent a total of $24. What is the most amount of notepads you ca

slava [35]

Answer: 4 notepads

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

at party the pumpkin pie is cut into 14 slices and the cherry pies cut into seven slices if the host wants to serve identical pl

Lyrx [107]

Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

7 0

2 years ago