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3 years ago

12

pumpkin weighed 913 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2012 world-record pumpkin weighs _____ kilograms

more than an average-sized pumpkin. (Write your answer as a numeral.)

1 answer:

dangina [55]3 years ago

4 0

the exact answer is 908

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On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1)

drek231 [11]

Answer:

B and E

Step-by-step explanation:

<u>Given</u>

ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)

<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>

x → x + 3, y → y - 5

It means the ΔABC has been translated 3 units right and 5 units down

Correct answer choices are B and E

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2 years ago

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You buy a new video game for $59.99

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$64.79 would be the cost after tax is added

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3 years ago

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

Help!!!i need it quick

Eddi Din [679]

Answer:

A linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

An exponential equation is written as:

y = A*(r)^x

Where A is the initial quantity and r is the rate of growth.

If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.

They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.

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2 years ago

A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s

mojhsa [17]

Answer:

(a) 25.08 m

(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, $\theta=25$ °

Initial speed is, $u=15\ m/s$

Time of flight is, $t=3.0\ s$

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

$u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s$

Vertical displacement of the brick is equal to the height of the building.

So, vertical displacement = $-h$ (Negative sign implies downward motion)

Acceleration is due to gravity in the downward direction. So,

Acceleration is, $g=-9.8\ m/s^2$

Now, using the following equation of motion;

$-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m$

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, $v_y=0\ m/s$

Now, using the following equation of motion, we have:

$v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m$

Therefore, the maximum height of the brick is 2.05 m.

5 0

3 years ago