Marko's heart beats 72 times per minute during normal activity. It beats 65 times
per minute during sleep, and 118 times per minute when Marko is exercising.
During a 24-hour period, Marko slept from 10:00 p.m. until 5:00 a.m. and then
exercised from 5:30 a.m. to 7:30 a.m. For the remaining time he had normal
activity. During that 24-hour period, how many times did Marko's heart beat?
(times)

[tex]2 = {x}^{2} + 5x[/tex]

[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]

From the standard form equation and from the given equation.

[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]

Discriminant Formula

[tex]D = {b}^{2} - 4ac[/tex]

Substitute the value of terms in the discriminant formula.

[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]

Discriminant Types

[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]

We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.

However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.

Answer:

Not proportional.

Step-by-step explanation:

The values do not begin from a straight line at the origin. X begins at 2, not the origin.

Answer: i think that the only fraction that we can convert this into is 2111/1000

Answer:

[tex]\frac{2111}{1000}[/tex]

Step by step:

2.111 = [tex]\frac{2.111}{1}[/tex]

then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.

your new fraction is [tex]\frac{2111}{1000}[/tex]

Answer: F is 11m.

Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.

Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,

x(t) = -1 + 3t

y(t) = 6 - 3t

z(t) = 3 + 7t

by differentiating (t) component-wise:

T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉

T = 〈3, -3, 7〉

Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.

Then the vector equation of the new line is

tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉

with parametric equations

x(t) = 3t

y(t) = 11 - 3t

z(t) = -9 + 7t

Answer:

The Federal government relies the most on income tax.

Step-by-step explanation:

Answer:

Vg

Step-by-step explanation:

All the others are decimals

pls give thanks, 5 star, brainliest

Answer:

D

Step-by-step explanation:

The answer is D because when you look at an ordered pair it is (x , y) the x stands for x-axis and y for y-axis. The x numbers are the ones on the bottom line going horizontally across your screen and the y numbers are the ones on the left side of the graph going up and down. Therefore when you are looking at (1.5 , 9) you start on the bottom line and go to 1.5 then go strait up to 9 on the line on the left and thats where the point is! Hope this helps, let me know if somthing doesn't make sense!

Answer:

5 mins.

Step-by-step explanation:

hope his helps good luck

Answer:

5 minutes

Step-by-step explanation:

Answer:

3/16+3/16=6/16

Step-by-step explanation:

HOPE ITS HELP YOU

Answer:

126 marbles

Step-by-step explanation:

if 42 is 1/3 of the jar, times it by 3 and that's the total.

Answer:

126 marbles

Step-by-step explanation:

24 - blue

18 - green

42 are blue or green

let 't' = total number of marbles

1/3t = 42

t = 42 x 3 = 126

answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

Answer:

30 degrees

Step-by-step explanation:

It's a pateelogram so oppate angles are equal so

x = 30 degrees

Hope this helps :)

The measure of x is 30 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

As, we know that the Property of Parallel line are:

Corresponding angle are Equal.

Alternate interior Angles are Congruent.

Vertical angles are Congruent.

As, per the figure we can see that

AB || CD

So, by Alternate Interior Angle

<DCB = <CBA

x = 30

Thus, the measure of x is 30 degree.

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The country's population decreased by about 2.4% during this time period.

Since we have given that

In 1990, the number of people = 167 million

In 2010, the number of people = 163 million

We need to find the percent decrease in the country's population during this time.

Percentage would be

New - Original x 100/original

= 163 - 167/167 x 100

= -4/167 x 100

=-2.39%

=-2.4%

Hence, the country's population decreased by about 2.4% during this time period.

Type of problem: Percentage decrease

Step 1: Find the difference between the two numbers

(Difference = original number - new number)

164,000,000 - 155,000,000 = 9,000,000

Step 2: Divide the difference by the original number

9,000,000 / 164,000,000 = 0.05487804878

Step 3: Multiply by 100 and round to find the percent

0.05487804878 x 100 = 5.48780487805

Round to one place = 5.5

Answer: 5.5% decrease in the population

Hope this helps!! :)

Answer:

Step-by-step explanation:

Each oven weights 300 pounds and there 80 ovens:

Weight left for freezers:

Number of freezers could be added:

Answer:

False

Step-by-step explanation:

a+(-a)=a-a = 0 which means irrational numbers are not closed under addition or subtraction.

False. Irrational numbers are not closed under subtraction.

Given data:

Closure under subtraction means that if you subtract two irrational numbers, the result will always be another irrational number.

However, this is not true for irrational numbers.

For example, consider the irrational numbers √2 and √2 + √2. Both of these numbers are irrational. However, when we subtract √2 from √2 + √2, we get:

(√2 + √2) - √2 = √2

The result, √2, is still an irrational number. But if we subtract two irrational numbers like √2 from √2, we get:

√2 - √2 = 0

The result, 0, is a rational number, not an irrational number.

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Answer:

9,12?

Step-by-step explanation:

Answer:

Step-by-step explanation:

D*RT

D=45*3

D=135

Marisol drove 135 MI.

The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question

Marisol drove for  from City A to City B = 3 hours

Equation below estimates the distance d, in miles for t hours.

d = 45t

now , substituting the value

d = 45 * 3

d = 135 miles

Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

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Answer:

88.89%

Step-by-step explanation:

Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4

The calculated minimum percentage value of quiz scores between

First step is to calculate the lower k value using this formula

k=(x1−m)/s

Where:

x1 represent first random value 4.8

x2 represent second random value 8.4

m represent mean 6.6

s represent standard deviation 0.6

Let plug in the formula

k=(4.8−6.6)/0.6

k=−1.8/0.6

k=−3

Second step is to calculate the upper k value

k=(x2−m)/s

k=(8.4−6.6)/0.6

k=1.8/0.6

k=3

Now let calculate the minimum percentage

Using this formula

Minimum percentage=1−1/k^2

Let plug in the formula

Minimum percentage=1−1/3^2

Minimum percentage=1−1/9

Minimum percentage=1−0.1111

Minimum percentage=0.8889*100

Minimum percentage=88.89%

Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%

Answer:

75%

Step-by-step explanation:

5.2−6.40.6=−2  and 7.6−6.40.6=2.

This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.

According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.

Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.

Answer:

do you need a bandaid?

Step-by-step explanation:

Step-by-step explanation:

Wth?

Are u okay??

call 911

Answer:

5a. Tip was 17.65%

5b. Total was $35.4

Step-by-step explanation:

5a.

Create the following equation:

17 + 17x = 20

17x = 3

x = 3/17

5b.

Find 18% of 30.

30 x 0.18 = 5.4

Add 5.4 to 30.

30 + 5.4 = 35.4

Answer:

8+2+(1.5*8-6)

Step-by-step explanation:

8=x

Answer:

x = 8

Step-by-step explanation:

x + 2 + (1.5x - 6) = 16

2.5x - 4 = 16

2.5x = 20

x = 20/2.5

x = 8

Answer:

The answer is...

1: quadrant III

2: quadrant II

3: quadrant IV

4: quadrant I

Step-by-step explanation:

If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a  negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a  negative scalar C, CA is in Quadrant |.

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.

The point A to the location indicated in each scenario.

If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||

If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||

If A is in quadrant ||, and is multiplied by a  negative scalar C, CA is in Quadrant |V

If A is in quadrant ||I, and is multiplied by a  negative scalar C, CA is in Quadrant |.

Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a  negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a  negative scalar C, CA is in Quadrant |.

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Answer:

QR is 1.2 due to both triangle are similar

Answer:

the answer should be 0.96 units

Step-by-step explanation:

1.6/2.0=.8

.8x1.2= .96

Answer:

30 hens, 20 cows.

Step-by-step explanation:

Step one:

let the number of cows be x

and the number of hens be y

Each cow has 2 eyes, each hen has 2 eyes also.

the total number of eyes is

2x+2y

Each cow has 4 legs, each hen has 2 legs.

the total number of legs is

4x + 2y

Step two:

the number of legs exceeds the number of eyes by 40:  

4x+2y - (2x+2y) = 40

open bracket

4x+2y-2x-2y=40

4x-2x=40

2x=40

Divide both sides by 2

x=40/2

x=20

Step three:

we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30

30 hens, 20 cows.

Check:

60 + 40 eyes = 100, 60 + 80 legs = 140legs.