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Setler [38]
3 years ago
12

How many times does the average adult human heart beat in 1 hour

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0
4,200 beats per hour
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X sqaured plus 4x plus 20 equlas 12x minus 5
skelet666 [1.2K]

Answer:

x² + 4x + 20 = 12x - 5

x² + 4x - 12x + 20 + 5 = 0

x² - 8x + 25 = 0

Δ = √b² - 4ac

= √(-8)² - 4×1×25

= √64-100

= √(-36)

x ∉ R

3 0
3 years ago
Read 2 more answers
The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much
pantera1 [17]

Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz

<u>Proportional</u><u> </u><u>relationships</u><u> </u><u>are</u><u> </u><u>defined</u><u> </u><u>thus</u><u> </u><u>:</u>

  • y = kx
  • <em>k</em><em> </em><em>=</em><em> </em><em>constant</em><em> </em><em>of proportionality</em><em> </em>

Taking a piar of points :

-0.24 = 8k

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>8</em>

(-0.24/8) = k

k = - 0.03

Hence, hedgedog loses weight at a rate of - 0.03 oz per day.

<u>The</u><u> </u><u>amount</u><u> </u><u>of</u><u> </u><u>weight</u><u> </u><u>lost</u><u> </u><u>in</u><u> </u><u>120</u><u> </u><u>days</u><u> </u><u>:</u>

The proportional relationship = y = - 0.03x

<em>Substitute</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em>

y = -0.03(120)

y = - 3.6 oz

Therefore, the amount of weight lost in 120 days is 3.6 oz.

Learn more : brainly.com/question/25308816

5 0
2 years ago
The length of a rectangle is stored in a double variable named length, the width in one named width. Write an expression whose v
myrzilka [38]

Answer:

Answered

Step-by-step explanation:

Length is stored in variable named length

the width in one named width

the expression for the diagonal of the rectangle can be written as

double diagonal = Math.sqrt(Math.pow(length,2) + Math.pow(width,2))

8 0
3 years ago
Gonzalez Manufacturing borrowed ​$. Part of the money was borrowed at ​%, part at ​%, and part at ​%. The annual interest was ​$
Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% = \frac{12}{100} \times x= 0.12x

The value of y amount will be borrowed at 14%= \frac{14}{100} \times x= 0.14x

The value of z amount will be borrowed at 16% = \frac{16}{100} \times x= 0.16x

If the total amount= 21000

\to x+y+z=21000

If the total interest= 3000

calculating the total interest:

\to 0.12x +0.14y +0.16z = 3000

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

\to x + y = 2z\\\\\to x + y - 2z = 0

by calculating the value we have  3 equations that are:

\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to  x + y - 2z= 0\\

calculate the matrix by above-given value:

\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]

by solving the above matrix we get:

\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]

\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to  \$ 7000 \text{ lent at} 16\%\\\\

6 0
3 years ago
An amusement park charges an admission fee of 20 dollars per person. The cost, C (in dollars), of admission for a group of p peo
Inessa [10]

Answer:

80

Step-by-step explanation:

Since the problem already gives you the function, you only have to substitute the information

p= number of people = 4

C(p)= 20p

C(4)=20(4)

C(4)= 80

So the cost of admission for four people is $80.

3 0
2 years ago
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