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adell [148]
2 years ago
13

There are 74 children at a camp 38 are girls the rest are boys how many boys are at the camp

Mathematics
2 answers:
baherus [9]2 years ago
5 0

Answer: 36

Step-by-step explanation: just subtract 38 from 74

74-38=36

True [87]2 years ago
4 0

Answer:

36 boys are at the camp

Step-by-step explanation:

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Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e
svet-max [94.6K]

ANSWER

y = 2x -4

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

x = 5 +  ln(t)

y =  {t}^{2}  + 5

From the first equation we make t the subject to get;

x - 5 =  ln(t)

t =  {e}^{x - 5}

We put it into the second equation.

y =  { ({e}^{x - 5}) }^{2}  + 5

y =  { ({e}^{2(x - 5)}) }  + 5

We differentiate to get;

\frac{dy}{dx}  = 2 {e}^{2(x - 5)}

At x=5,

\frac{dy}{dx}  = 2 {e}^{2(5 - 5)}

\frac{dy}{dx}  = 2 {e}^{0}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5)

y = 2x - 10 + 6

y = 2x -4

Without eliminating the parameter,

\frac{dy}{dx}  =  \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }

\frac{dy}{dx}  =  \frac{ 2t}{  \frac{1}{t} }

\frac{dy}{dx}  =  2 {t}^{2}

At x=5,

5 = 5 +  ln(t)

ln(t)  = 0

t =  {e}^{0}  = 1

This implies that,

\frac{dy}{dx}  =  2 {(1)}^{2}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5) =

y = 2x -4

5 0
3 years ago
Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked f
Vlada [557]

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

<h3>How to determine the population of squirrel?</h3>

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

Read more about population at:

brainly.com/question/7301139

#SPJ1

6 0
1 year ago
Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than
anygoal [31]

Answer:

9d+11\frac{1}{4}>72

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten 11\frac{1}{4} hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is 9d.

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: 9d+11\frac{1}{4}.

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

9d+11\frac{1}{4}>72

Therefore, our required inequality would be 9d+11\frac{1}{4}>72.

3 0
3 years ago
Find the number of DEGREES rotated in a circle of radius 6 inches if an arc is created with a length of 11(pi) inches
artcher [175]

Radius = 6 inches

Arc lenght = 11pi inches

Degrees ?

Arc lenght = radius x angle in radians

A = r * a

Solving for a:

a = A/r = 11pi/6 = 5.759586532 radians

5.759586532 to degrees ==> a = 330 degrees

Answer:

330 degrees

3 0
11 months ago
Solve the equation.<br><br> 4^2x – 5 = 64
KiRa [710]
X= 4.3125 or x= 4.313
7 0
3 years ago
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