Due to the increase of posts on social media, the number of flip cell phones is in exponential decline. Data collected from 2009 to 2014 shows the estimated number of flip phones amongst Washington State high school students.


Years (since 2009) 0 1 2 3 4

Number of Flip Phones 256 192 144 108 81
(in thousands)


Write an equation in two variables to represent this situation. Let x represent the number years since 2009 and y represent the total number of flip phones (in thousands) owned by high school students in Washington.

ADC = 60

4x + 2x = 180

6x = 180

180/6 = 30

X= 30

2(30) = 60

Answer:

∠ADC = 60°

Step-by-step explanation:

BDC is a straight angle, thus

∠BDA + ∠ADC = 180 ← substitute in values

4x + 2x = 180

6x = 180 ( divide both sides by 6 )

x = 30

Hence

∠ADC = 2x = 2 × 30 = 60°

Answer:

Infinite because it keeps going

ANSWER

EXPLANATION

The given series is

5 + 10 + 15 + 20 + . . . + 5n + . . .

The first term of this series 5

The constant difference is:

d=10-5=5

The +... at the end of the series means it does continue to infinity.

The series is infinite

Answer:

All options

Step-by-step explanation:

If two coins are flipped, there are following possibilities

1. Both coins show heads

2. First coin shows heads and second shows tails

3. First coin shows tails and second shows heads

4. Both coins show tails

Let H denote heads and T denote tails

Then the sample space can be translated from the above events as:

Sample  Space for Flipping Two Coins = {HH, HT, TH, TT}

which means that all the options are correct ..

Answer:

All the options.

Step-by-step explanation:

Answer:

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

Step-by-step explanation:

The group given the new drug reported an average of 3.3 nights they suffered insomnia a month. Therefore the mean of this group is 3.3.

On the other hand, the control group receiving the placebo reported an average of 9.5 nights they suffered insomnia a month. Therefore, the mean of this control group is 9.5.

The population mean difference between these two groups is thus;

9.5 - 3.3 = 6.2

This difference is very significant inferring that the new drug appears to reduce insomnia. Nevertheless, this mean difference is considerably close to the difference of the means from re randomization. Therefore we can conclude that,

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

Answer:

6 is a number 1-7

Step-by-step explanation:

Answer:

The area of the trapezoid is 90 cm².

Answer:

2 and 3

Step-by-step explanation:

You have to subtract 25 from x.

Answer:

B and C

Step-by-step explanation:

Answer:

x<5 (x=# of shirts) or 8x < 70-30

Step-by-step explanation:

she has $40 left for shirts, 40/8 = 5. 5 is the maximum shirts she can buy.

Answer:

The answer is x [tex]\leq[/tex] 5

Step-by-step explanation:

Answer:

633

Step-by-step explanation:

We have the equation

[tex]15+102[12-(12-3*2)]+6\\\\15+102[12-(12-6)]+6\\\\15+102[12-(6)]+6\\\\15+102[6]+6\\\\15+612+6\\\\633[/tex]

Answer:

Step-by-step explanation:

Multiply the numbers:

15 + 102 • [12 – (12 – 3 • 2)] + 6

15 + 102 [(12-(12-6)] +6

Then Subtract the numbers:

15 + 102 x 6 + 6

Then Multiply the Numbers:

15 + 612 + 6

Then Calculate the sum:

633

Answer: 15 + 102 • [12 – (12 – 3 • 2)] + 6 = 633

Answer:

F(4)= 2

Step-by-step explanation:

F(x) = 2x^2 − 30, find f(4).

F(4)= (2)(4)^2 - 30

F(4)= (2)(16) - 30

F(4)= 32 - 30

F(4)= 2

Answer:

x>5

Step-by-step explanation:

you would write it like this because the number of scores is x. They scored more than 5.

x>5

you would write it like this because the number of scores is x. They scored more than 5.

For this case we have by definition, that the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

They tell us as data that:

[tex]m = 4\\b = 1[/tex]

So the equation is:

[tex]y = 4x + 1[/tex]

ANswer:

[tex]y = 4x + 1[/tex]

The equation is y=4x+1 because it’s a linear and the slope is attached to x always.hope this helps.please mark brainliest

d. you add up all the sides. opposite sides are equal. the answer is d. 36

The perimeter of the rectangle is 84 cm.

The perimeter of a rectangle can be found by adding up all four sides. In this case, we have a rectangle with a length of 18 cm and a width of 24 cm. To find the perimeter, we add the lengths of all four sides:

Perimeter = 2(length + width)

Perimeter = 2(18 cm + 24 cm) = 2(42 cm) = 84 cm

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Answer:

[tex]d = \frac{1}{50} k[/tex]

Step-by-step explanation:

Let

w be the weight of the dog

and

d be the dosage given to the dog

As both of them are directly proportional

d ∝ w

Whenever the proportion symbol is removed from proportion, a proportionality constant is introduced.

So,

d = kw      Eqn 1

As we are given the values of d and w, putting the values

3/5 = 30k

[tex]\frac{3}{5*30} = k[/tex]

[tex]\frac{3}{150} = k[/tex]

So,

k = 1/50

Putting

K=1/50 in Eqn 1

[tex]d = \frac{1}{50} k[/tex]

So d = 1/50 * k relates dosage and weight ..

The equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

The relationship between the weight of a dog and the dosage of a certain medicine is said to be directly proportional. This means that as the weight of the dog increases, the dosage of the medicine also increases. To find the equation relating the weight, w, and the dosage, d, we can use the given information:

For a 30-pound dog, the veterinarian gives 3/5 milligram of the medicine.

We can use this information to set up the equation:

weight of dog (w) = 30 pounds

dosage of medicine (d) = 3/5 milligrams

Hence, the equation relating the weight (w) and the dosage (d) is d = k * w.

Here, k represents the constant of variation or the proportionality constant. To find the specific value of k, we can substitute the given values into the equation:

3/5 = k * 30

Solving for k:

k = (3/5) ÷ 30

Simplifying the fraction:

k = (3/5) * (1/30)

k = 1/50

Therefore, the equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

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Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around [tex]2,413\ km^{3}[/tex]

The Dallas Cowboys Stadium has a volume of [tex]140,000,000\ ft^{3}[/tex]

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

[tex]140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}[/tex]

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

[tex]2,413/0.003964=608,729[/tex]

Round to the nearest Thousands

[tex]608,729=609,000[/tex]

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

Approximately 608,570 Dallas Cowboys Stadiums could fit inside the volume of Mount Everest.

To answer this question, we first need to convert the volume of Mount Everest and Dallas Cowboys Stadium to the same units. Given that 1 cubic kilometer (km³) is equal to approximately 35.31 billion cubic feet (ft³), so the volume of Mount Everest is approximately 2,413 km³ * 35.31 billion ft³/km³ = 85.199 trillion ft³.

The volume of the Dallas Cowboys Stadium is 140 million ft³. Now, we can find out how many Cowboy stadiums could fit inside of Mount Everest by dividing the volume of Mount Everest by the volume of the stadium.

Mount Everest volume / Dallas Cowboys Stadium volume = 85.199 trillion ft³ / 140 million ft³ = approximately 608,570 Dallas Cowboys Stadiums.

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Answer:

64.

Step-by-step explanation:

That would be 32% of 200.

= 32 *200 / 100

= 32 * 2

= 64 (answer).

Answer:

64

Step-by-step explanation:

From the pie chart 32% preferred tea.

Calculate 32% of 200

32% = [tex]\frac{32}{100}[/tex] = 0.32, hence

number preferring tea = 0.32 × 200 = 64

Answer:

7

Step-by-step explanation:

Find the mean of the data :  

(22+16+39+35+19+34+20+26) /8= 26. 37

Find the distance between each data and mean.  to find the distance subtract each term from the mean, and ignoring or putting an absolute value sign around the equation, if you are going to get a negative result

Distance between 22 and 26.37 is 4.37

Distance between 16 and  26.37 is 10.37

Distance between 39 and 26.37 is 12.63  

Distance between 35 and 26.37 is 8.63

once you subtract all terms from mean add the, values together

you should get 7

Answer:

It’s 7!

Step-by-step explanation:

What the person said below me is correct

Answer:b

hope this helps

Answer:

$61.90

Step-by-step explanation:

Simple interest (S.I) = principal (P) * rate (R)* time (T)

S.I = 275 * 0.045 *5 = $61.875

S.I = $61.875 which is approximately $61.90

Answer:

you could estimate to check your answer

Step-by-step explanation:

If you estamate you can do the problem faster it will save you lots of time

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad L(\stackrel{x_2}{-4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-4-2}{2}~~,~~\cfrac{6-4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{2}{2} \right)\implies (-3~,~1)[/tex]

the answer is...... (-3,1)

Answer: B.

Step-by-step explanation: 1 second is at 25 which is half of 50 and its the only answer that makes sense

Answer:

It means if you insert those two numbers where they belong into the equations, you will get a correct answer

Step-by-step explanation:

it means both equations are true

hope this helps :)

Answer:

[tex]3g^{2} -7g+2\\=(3g-1)(g-2)[/tex]

B. X-4y > 15;y>0 this is the correct answer

Answer:. x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

Put it in desmos graphing

Answer:

The expression which is equivalent to (f ° g)(x) is 3(x² + 1) + 2 ⇒ the 4th answer

Step-by-step explanation:

* Lets explain the meaning of the composition of functions

- Composition of functions is when one function is inside of an another

 function

# If g(x) and h(x) are two functions, then (g ° h)(x) means h(x) is inside

  g(x) and (h ° g)(x) means g(x) is inside h(x)

* Now lets solve the problem

∵ f(x) = 3x + 2

∵ g(x) = x² + 1

- We need to find (f ° g)(x), that means put g(x) inside f(x)

* Lets replace the x of f by the g(x)

∵ f(x) = 3x + 2

∵ g(x) = x² + 1

- Replace x of f by x² + 1

∴ f(x² + 1) = 3(x² + 1) + 2 ⇒ open the bracket

∴ f(x² + 1) = 3x² + 3 + 2 ⇒ add the like terms

∴ f(x² + 1) = 3x² + 5

∴ (f ° g)(x) = 3(x² + 1) + 2 OR 3x² + 5

* The expression which is equivalent to (f ° g)(x) is 3(x² + 1) + 2

Answer:

[tex]\large\boxed{x=-\dfrac{3}{2},\ y=-3\to\left(-\dfrac{3}{2},\ -3\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-6x-4y=21\\-6x+3y=0&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x-4y=21\\6x-3y=0\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-7y=21\qquad\text{divide both sides by (-7)}\\.\qquad\boxed{y=-3}\\\\\text{Put the value of}\ y\ \text{to the second equation}\ 6x-3y=0:\\\\6x-3(-3)=0\\6x+9=0\qquad\text{subtract 9 from both sides}\\6x=-9\qquad\text{divide both sides by 6}\\x=-\dfrac{9:3}{6:3}\\\boxed{x=-\dfrac{3}{2}}[/tex]

Answer:

I think the second option is correct.

because the unknown angle is 90.

and if replace anyone of the x with 90 the equation isn't correct except with the second option.

Step-by-step explanation:

if you want me to show you how I got 90 degree for x just tell me and I'll show you

Hope this helps

ANSWER

(-∞,+∞)

EXPLANATION

The given polynomial function is:

[tex]f(x)=10x^3 +18x[/tex]

The domain refers to all values of x that make the function defined.

Polynomial functions are defined for all real values of x

The domain is the set of all real numbers.

This is written in symbolic representation as

(-∞,+∞)

C) 5

because

3 -->15 =×5

1×5=5

Answer:  The correct option is (C) 5.

Step-by-step explanation:  Given that the two prisms shown in the figure are similar.

We are to find the value of x.

We know that

the corresponding side lengths of two similar figures are proportional.

From the figure, we note that the pairs of corresponding side lengths of the two prisms are (2, 10), (15, 3) and (1, x).

Therefore, we must have

[tex]\dfrac{2}{10}=\dfrac{3}{15}=\dfrac{1}{x}\\\\\\\Rightarrow x=\dfrac{10}{2}\\\\\Rightarrow x=5.[/tex]

Thus, the value of x is 5.

Option (C) is CORRECT.