Find the area of a
square that has a side
length of 3 1/2 cm

well, from 2010 to 2021  is 11 years later, so

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]

Answer:

Step-by-step explanation:

This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).

Hope this helps!

Answer:

Just multiply the number by the percentage.

Step-by-step explanation:

1. Make the percentage into a decimal (%50= 0.50)

2. Multiply the decimal by the number.

Answer:

C:  y = -3x - 2

Step-by-step explanation:

See attached image.  Use a spreasheet to calculate the values of y for each vale of x and compare the results.  Equation C matches the data in the table.

Answer:

1679616

Step-by-step explanation:

(6^4) = 1296

1296^2 = 1679616

Answer:

No it isnt possible

Step-by-step explanation:

it is not because 2,783,000 is not divisible by 9

[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]

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[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]

[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]

_____________________________________________

As you know :

[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]

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[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]

[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]

And we're done...

Take care ♡♡♡♡♡

Answer:

5.1 is the correct answer

hope it will help you

Answer:

91,300 to 3 s.f.

Step-by-step explanation:

The population is reduced by a percentage 100-7 = 93%  ( or 0.93) per year.

So after 5 years thatwould be 300,000(0.93)^5

= 208707

that is 300,000 - 208,706

= 91293

= 91,300 to 3 s.f.

Answer:

x = 5

Step-by-step explanation:

x + 4 = 3(x - 2) ← distribute parenthesis by 3

x + 4 = 3x - 6 ( subtract 3x from both sides )

- 2x + 4 = - 6 ( subtract 4 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Answer:

Step-by-step explanation:

In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .

Solution : -

[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]

Step 1 : Solving parenthesis on right side :

[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]

On further calculations we get :

[tex] \longrightarrow \quad \: x = 3x - 10[/tex]

Step 3 : Subtracting 3x on both sides :

[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: - 2x = - 10[/tex]

Step 4 : Dividing both sides by -2 :

[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

Therefore, our answer is correct .

Answer:

20

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

Apply cross product property

Multiply the numbers

Divide both sides of the equation by 5

Calculate

Answer:

196 - 49[tex]\pi[/tex]

i hope this helped :)

Step-by-step explanation:

first of all the explaination is to first find the area of the square and then the circle after you have found that you should subtract them and you will get the area of the shaded region.

radius x 2 = the side of the square

7 x 2 = 14

area of square - 14 x 14 = 196 squared

formula of finding the area of the circle - [tex]\pi[/tex]r^2

area of circle - 3.14 x 7 x 7 = 49[tex]\pi[/tex]

so answer simpliefied is 196 - 49[tex]\pi[/tex]

i hope this helped

Answer: Anallency

Step-by-step explanation:

First, lets make two equations for both siblings, using the base: SI = P(1 + rt) and CI = P(1 + r/n)^nt

Alejandro = 1750(1 + 0.065[4]) = 1750 + 455 = $2,205

Anallency = 1675(1 + 0.075/1)^4 = $2236.91

After 4 years, Alejandro will have $2,205, and Anallency will have $2236.91

Since $2236.91 > 2,205, Anallency will have more money after 4 years.

Answer:

Anallency will have mor money.

Step-by-step explanation:

Simple Interest:

I = Prt

I = $1750 × 0.065 × 4

I = $455

Total after 4 years: $1750 + $455 = $2205

Compound Interest:

F = P(1 + r/n)^(nt)

F = $1675(1 + 0.075)^(4)

F = $2236.91

Answer: Anallency will have mor money.

Answer:

y = 4

Step-by-Step explanation:

4x5 = 20

2x5 = 10

20+10=30.

(4x5) + (2x5) = 30

or

(yx5) + (2x5) = 30

Brainliest would be appriciated :) have a nice day!

Answer:

I'm pretty sure y is the height.

Answer:

y = 110 degree

x = 70 degree

z = 70 degree

Step-by-step explanation:

Vertical angles are always congruent.

so, the angle with the 110 degree is equal to the angle y.

now we have the measure of y.

as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree

now, to get the measure of angle z,

180 - 110 = angle z

70 = angle z

now we have the measure of angle z

as angle z and angle x are vertical angle, they are congruent.

so angle x = 70

x = 70

z= 70

y = 110

hope this helps:)

Answer:

5 million.

Step-by-step explanation:

1 hundred thousand = 100,000

50 of these  = 5,000,000  (replacing the 1 in 100,000 by 50)

and  this = 5 million.

Answer:

66

Step-by-step explanation:

adding  all shown numbers  without  a calculator = 66

Answer:

True

Step-by-step explanation:

hopes this helps.

Answer:

Yes

Step-by-step explanation:

Is Okay.

but when the answer is a positive answer ignore the + sign

but if negative show it

apart from that it's all okay

Answer:

AC ≈ 23.6 units

Step-by-step explanation:

m∠CAD = 90°

CD = 2×14 = 28 , AD = 15

CD² = AD² + AC² ⇒ AC² = CD² - AD²

AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559

AC ≈ 23.6

Answer:

starting with least...

-1.6

-6/5

-7/8

9/10

5/2

...to greatest.

Step-by-step explanation:

start by putting the decimals into fractions:

-1.6 = -8/5

0.9 = 9/10

and then find a common denominator to compare them fairly.

the number that they all end up going into is 40, which will be your common demoninator.

-8/5 (aka -1.6) = -64/40

5/2 = 100/40

-7/8 = -35/40

9/10 (aka 0.9) = 36/40

-6/5 = -48/40

Answer:

h = 0.24

Step-by-step explanation:

Assuming this is a parallelogram...

Sine trig ratio

[tex]\sin(\theta)=\sf \dfrac{O}{H}[/tex]

where:

Let x be the angle in the top left of the parallelogram.

[tex]\implies \sin(x)=\dfrac{0.3}{0.5}=\dfrac35[/tex]

Opposite angles in a parallelogram are congruent.

Therefore, the angle in the bottom right of the parallelogram is also x.

[tex]\implies \sin(x)=\dfrac{h}{0.4}[/tex]

[tex]\textsf{As} \:\sin(x)=\dfrac35[/tex]

[tex]\implies \dfrac35=\dfrac{h}{0.4}[/tex]

[tex]\implies h=\dfrac35 \cdot 0.4=0.24[/tex]

Remember (3,4,5) Pythagorean triplet

Triangle containing y

Triangle containing x

Now use ratio to find

Answer: [tex]-\frac{7}{11}[/tex]

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.

Sub the values in

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]

Now solve

[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]