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Crazy boy [7]
2 years ago
5

Moussa is preheating his oven before using it to bake. The initial temperature of the

Mathematics
1 answer:
Yuki888 [10]2 years ago
8 0

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

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astra-53 [7]

Answer: I think the answer is B

Step-by-step explanation:

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3 years ago
I need help on this one asap pliz
Doss [256]
C(5,4)(.40)^4(1-.40)^1=5(.4)^4(.6)^1=0.0768

That's 7.68% = 7.7% (rounded)

Note: C(5, 4) is the number of combinations of 5 things taken 4 at a time. You may have seen this written as _5C_4

In general, C(n,r)=\frac{n!}{r!(n-r)!}
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3 years ago
Which of the following options have the same value as
Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(C) 65/20 * 100

(D) 65 * 20

Answer:

Option A has the same value as  65% of 20

Step-by-step explanation:

Let x be the value of  65% of 20

x = 65\% of 20

x = \frac{65}{100} \times 20

x =0.65 \times 20

x =13

Thus 65% of 20 is 13

Now ,

<u>Solving Option A</u>

=> (0.65) \cdot (20)

=> 13

<u>Solving Option B</u>

=> 65/100 divided by 20

=>\frac{\frac{65}{100}}{20}

=>\frac{0.65}{20}

=>0.0325

<u>Solving Option C</u>

=>65/20 * 100

=>\frac{65}{20} \times 100

=>3.25 \times 100

=>325

<u>Solving Option D</u>

=> 65 * 20

=>65 \times 20

=> 1300

8 0
3 years ago
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A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board a
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I am pretty sure it is 50 by 64 centimeters but if it is not I am really sory for the mistake.
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The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0
3 years ago
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