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3 years ago

13

Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are

12 roses in a dozen

1 answer:

Gennadij [26K]3 years ago

4 0

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

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A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to

Maurinko [17]

Answer:

X = 33,669.78 ft

Y = 15285.76 ft

Step-by-step explanation:

Given data:

let x be the distance btwn arch and plane

and y be the distance btwn ground point and arch y

we know that

$cos\theta = \frac{adjacent}{hypotaneous}$

$cos(27) = \frac{30,000}{x}$

xcos27 = 30000

$x = \frac{30000}{cos 27}$

x = 33,669.78 ft

b) we knwo that

$tan \theta = \frac{opposite}{adjacent}$

$tan 27 = \frac{y}{30000}$

y = tan(27) (30000)

y = 15285.76 ft

8 0

3 years ago

Help me with writing this exression please

k0ka [10]

Answer:

3 * n^(1/6)

Step-by-step explanation:

The square root can be written as ^ 1/2

The cube root can be written as ^ 1/3

So the sixth root can be written as ^ 1/6

3 * n^(1/6)

5 0

3 years ago

Y= 4x + 2<br> where the domain is the set of all of<br> the positive even numbers<br> less than 10.

inysia [295]

The range of the function y = 4x + 2 where the domain is the set of all of

the positive even numbers less than 10 is {10, 18, 26, 34}

The given equation is:

y = 4x + 2

The domain is the set of all of the positive even numbers less than 10.

That is, x = {2, 4, 6 ,8}

To get the range, find the values of y for x = 2, 4, 6, and 8

For x = 2:

y = 4(2) + 2

y = 8 + 2

y = 10

For x = 4:

y = 4(4) + 2

y = 16 + 2

y = 18

For x = 6:

y = 4(6) + 2

y = 24 + 2

y = 26

For x = 8:

y = 4(8) + 2

y = 32 + 2

y = 34

Therefore, the range = {10, 18, 26, 34}

Learn more here: brainly.com/question/18479953

5 0

2 years ago

One hundred divided by twice a number is ten

Ludmilka [50]

$\frac{100}{2x} = 10$

Are you trying to find x, or are you only suppose to translate it?

If you are trying to find x, you first multiply 2x on both sides

100 = 10(2x)

Divide 10 on both sides

10 = 2x

Divide 2 on both sides

5 = x

5 0

3 years ago

The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature

Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

$T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$

Where

$(t) = \ time$

$T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)$

$T_{s} = Surrounding \ temperature$

$T_{0} = Initial \ temperature \ of \ the \ body$

$k = constant$

From the question,

$T_{0} = 86 ^{o}C$

$T_{s} = -20 ^{o}C$

∴ $T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C$

$T_{0} - T_{s} = 106^{o} C$

Therefore, the equation $T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$ becomes

$T_{(t)}=-20+106 e^{kt}$

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time $t = 1 \ hour$ , $T_{(t)} = 58^{o}C$

Then, we can write that

$T_{(1)}=58 = -20+106 e^{k(1)}$

Then, we get

$58 = -20+106 e^{k(1)}$

Now, solve for $k$

First collect like terms

$58 +20 = 106 e^{k}$

$78 =106 e^{k}$

Then,

$e^{k} = \frac{78}{106}$

$e^{k} = 0.735849$

Now, take the natural log of both sides

$ln(e^{k}) =ln( 0.735849)$

$k = -0.30673$

This is the value of the constant $k$

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at $t = 2 \ hours$

From

$T_{(t)}=-20+106 e^{kt}$

Then

$T_{(2)}=-20+106 e^{(-0.30673 \times 2)}$

$T_{(2)}=-20+106 e^{-0.61346}$

$T_{(2)}=-20+106\times 0.5414741237$

$T_{(2)}=-20+57.396257$

$T_{(2)}=37.396257 \ ^{o}C$

$T_{(2)} \approxeq 37.40 \ ^{o}C$

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

6 0

2 years ago

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