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3 years ago

Tom and Jack spend a certain amount of money from their accounts each week at a pet shelter.

Mathematics

2 answers:

Alex3 years ago

5 0

Answer:

i did the test its c

Step-by-step explanation:

miv72 [106K]3 years ago

3 0

D) Function 2, because Jack spends $8 each week and Tom spends $7 each week

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A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

Allushta [10]

Answer:

4968.6 m from where it was fired
221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

(x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

t ≈ 31.939 seconds

Then the horizontal travel is

x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0

3 years ago

Work out (5.32 x 10^-7): (2.5 x 10^-5)<br>Give your answer in standard form

Mrrafil [7]

Answer:

1.33×10^-6

Step-by-step explanation:

5.32 x 10^-7= 5.32×10^(-5-2)= 5.32×10^-2×10^(-5)

=0.0532×10^-5

(0.0532×10^-5) (2.5 x 10^-5)

0.0532×2.5 × 10^-5

0.133×10^-5= 1.33×10^-1 ×10^-5

1.33×10^-6

8 0

3 years ago

Ana vende productos de limpieza .Por cada $100 que venda le dan de comisión $30 .¿Cuánto ganará si vende $600?

Ulleksa [173]

Answer:

$180

Step-by-step explanation:

$600/$100 = 6

$600 es 6 veces $100.

Por vender $600 gana 6 veces mas que por vender $100.

6 * $30 = $180

Respuesta: $180

8 0

3 years ago

Test scores are normally distributed with a mean of 68 and a standard deviation of 12. Find the z – score for a grade of 74. Rou

Tasya [4]

Answer:

gang nem

Step-by-step explanation:

6 0

3 years ago

There are 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the heath requirements, so they couldn'

Daniel [21]

Answer:

The volunteers donated $470(32-n)$ millimeters of blood.

Step-by-step explanation:

Given:

Total Number of Volunteers = 32

number of Volunteers failed to donate = n

Amount of blood donated by each volunteer = 470 mm

We need to find the Total amount of blood donated by the Volunteers.

Solution:

First we will find the number of volunteers donated blood.

the number of volunteers donated blood is equal to Total Number of Volunteers minus number of Volunteers failed to donate.

framing in equation form we get;

the number of volunteers donated blood = $(32-n)$

Now we will find Total amount of blood donated by the Volunteers.

Total amount of blood donated by the Volunteers is equal to Amount of blood donated by each volunteer multiplied by the number of volunteers donated blood.

framing in equation form we get;

Total amount of blood donated by the Volunteers = $470(32-n)$

Hence The volunteers donated $470(32-n)$ millimeters of blood.

5 0

3 years ago