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2 years ago

8

Emily wants to earn $100. She picks blueberries and is paid d dollars per bucket. She averages 4 buckets per day, and she has al

ready picked blueberries for 5 days.
Which of the following expression represents how much more money she needs to earn to meet her goal?

1 answer:

Bess [88]2 years ago

8 0

Answer:d

Step-by-step explanation:

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The perimeter of a rectangle is 12 centimeters.The length of the rectangle is 5 centimeters.What is area of the rectangle

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2 years ago

An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is

marta [7]

Answer:

Step-by-step explanation:

The position function is

$s(t)=-2.7t^2+50t+6.5$ and if we are looking for the time(s) that the ball is 10 feet above the surface of the moon, we sub in a 10 for s(t) and solve for t:

$10=-2.7t^2+50t+6.5$ and

$0=-2.7t^2+50t-3.5$ and factor that however you are currently factoring quadratics in class to get

t = .07 sec and t = 18.45 sec

There are 2 times that the ball passes 10 feet above the surface of the moon, once going up (.07 sec) and then again coming down (18.45 sec).

For part B, we are looking for the time that the ball lands on the surface of the moon. Set the height equal to 0 because the height of something ON the ground is 0:

$0=-2.7t^2+50t+6.5$ and factor that to get

t = -.129 sec and t = 18.65 sec

Since time can NEVER be negative, we know that it takes 18.65 seconds after launch for the ball to land on the surface of the moon.

4 0

1 year ago

A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

<u>Answer-</u>

<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>

<u>Solution-</u>

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

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2 years ago

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4). What is the range of the function on the graph?

slavikrds [6]

Answer:

Step-by-step explanation:

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2 years ago

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

$24 + AC + 24 = 82$

Collect like terms

$AC = 82 - 24 - 24\\AC = 34$

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

$D = \frac{1}{2}AC$

$D = \frac{1}{2} * 34$

$D = \frac{34}{2}$

$D = 17$

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0

2 years ago

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