Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.​

A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.

A ratio shows us the number of times a number contains another number.

The ratio of buckeyes and monarch butterflies in different areas can be written as,

Area A,

Buckeyes/Monarchs = 15/16

Area B,

Buckeyes/Monarchs = 27/36 = 3/4

Area C,

Buckeyes/Monarchs = 12/25

Area D,

Buckeyes/Monarchs = 24/32 = 3/4

Area E,

Buckeyes/Monarchs = 44/33 = 4/3

Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.

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Answer:B and D

Step-by-step explanation:

i just took the test

Answer:

:D

Step-by-step explanation:

19.35 = 7062.75 mm²

Answer:

Y = 2x + 5

Step-by-step explanation:

2x is your slope and 5 is your y intercept.

The formula for this is: y = mx + b

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

[tex]\dfrac{35}{100}\times 150=52.5[/tex]

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

[tex]\dfrac{113}{100}\times 55=62.15[/tex]

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

For the 1st picture,

[tex]2(3x - 1) \geqslant 4x - 6[/tex]

[tex]6x - 2 \geqslant 4x - 6[/tex]

[tex] - 2 \geqslant - 2x - 6[/tex]

[tex]4 \geqslant - 2x[/tex]

[tex]x \geqslant - 2[/tex]

This means x has to be greater than -2 so -1 is the answer.

For the 2nd picture the answer is -10.

For the 3rd picture, the answer is the first three options.

For the 4th picture, the answer is the 3rd option.

again again again again again again again hello or merhaba dude

merhaba = hello

answers are at the photos

GOOD LUCK:D

greetings from Turkey (≧▽≦)

Answer:

Step-by-step explanation:

-9 is greater than the value of -12 because -9 is to the right of -12 on the number line.

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 6 = 5(x - 2) ← is in point- slope form

with slope m = 5 → B

Answer:

v = 0.25

Step-by-step explanation:

v = ?

v x 16 = 4 (given)

v = 4/16

v = 0.25

Checking:

[ 0.25 x 16 = 4]

Answer:

1/4 or 0.25 (as a decimal)

Step-by-step explanation:

We know that v has an unknown value.

When it is multiplied by 16, we would get the product.

Turn it into an equation:

16x = 4

Find x:

4 ÷ 16 = 0.25 or 1/4

Now we’ve find x:

16 x 1/4 = 4

Which is a true equation

So x equals 0.25 or 1/4 (as a fraction)

I’d recommend choose fraction bu whatever is up to you!

Answer:

Step-by-step explanation:

when x = 5 ,

f(5) = - 25 ( 5 - 9 )² + 200 = - 200

when x = 9 ,

f(9) = - 25 ( 9 - 9 )² + 200 = 200

when x = 10 ,

f(10) = - 25 ( 10 - 9 )² + 200 = 175

when x = 15 ,

f(15) = - 25 ( 15 - 9 )² + 200 = -700

∴ when price = $9

the company receive the maximum profit

Answer:

9$

Step-by-step explanation:

Answer:

Part 1;

(0, 0)

Part 2;

(0, 2.5)

Step-by-step explanation:

Part 1

The given system of inequalities is presented as follows;

f(x) < x + 4; f(x) > -x - 3; and f(x) < 5

We check each of the points as follows;

The point (0, 0) in the inequality f(x) < x + 4, gives;

f(0) < 0 + 4

f(0) = 0 < (is less than) 0 + 4 = 4

Therefore, (0, 0) is a solution of the inequality f(x) < x + 4

The point (0, 0) in the inequality f(x) > -x - 3, gives;

f(0) < -0 - 3

f(0) = 0 > (is larger than) -0 - 3 = -3

Therefore, (0, 0) is a solution of the inequality f(x) > -x - 3

The point (0, 0) in the inequality f(x) < 5, gives;

f(0) < 5

f(0) = 0 < (is less than) 5

Therefore, (0, 0) is a solution of the inequality f(x) < 5

The point (-6, 0) in the inequality f(x) > -x - 3, gives;

f(-6) = -6 - 3 = 3

The point (-6, 0) with y = 0 < (is less than) f(-6) = 3, therefore (-6, 0) is not a solution to (not included in the graph of) the inequality f(x) > -x - 3 and therefore to the system of inequalities because at x = -6, the values of f(x) > -x - 3 are larger than 3

The point (-3, 4) in the inequality f(x) < x + 4, gives;

f(-3) = -3 + 4 = 1

The point (-3, 4) with y = 4 < (is larger than) f(-2) = 1, therefore (-3, 4) is not a solution to (not included in the graph of) the inequality f(x) < x + 4  and therefore to the system of inequalities because at x = -3, the values of f(x) < x + 4 are less than 1

The point (4, 6) is not a solution to (not included in the graph of) the inequality f(x) < 5  and therefore to the system of inequalities because f(x) is larger than 5 for all x

Therefore, the point which is part of the solution set of the system of inequalities is (0, 0)

Part 2

The given system of inequalities are, f(x) ≥ 2·x + 2; f(x) ≤ -4·x + 3; and f(x) ≤ 6·x + 5

Plotting the given system of inequalities on MS Excel the point which is part of the solution is given by points which are within the triangular intersection area of the three inequalities, with coordinates, (1/6, 7/3), (-3/4, 1/2), and (-1/5, 19/5)

Therefore, the points, (0, 0), (-2.5, 0) are not solutions because, the y-value of the solution area are all higher than the line y = 0

The point (0. 6.5) is not a solution because the points in the triangular solution area all have x-values lesser than x = 6.5

The point which is part of the solution by examination is the point (0, 2.5) which is a point between the lines y = 19/5 = 3.8, y = 1/2, x = -3/4, and x = 1/6.

Answer:

B

Step-by-step explanation:

We dont know rules about rotating a point. We only know rules about rotating about the orgin.

We can translate this line segment so point c is on the orgin because

Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?

A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:

Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.

(x,y) goes to (y,-x).

So Point A prime is now at

(0,-1).

Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at

(1,2).

Answer:

214°

Step-by-step explanation:

The measure of an arc that sees the center angle of the circle is equal to the very same angle that it sees

Since the measure of circle is 360° and arc AB is given as 146° the measure of arc ACB should be 360 - 146 = 214°

Answer:

8/7 min  = [tex]1 \frac{1}{7} minutes[/tex]

Step-by-step explanation:

A rate 2 2/3 = 8/3 min per tank

B rate 2 min per tank

thus:

A rate = 3/8 tank per min

B rate = 1/2 tank per min

A+ B =  3/8 + 4/8 = 7/8 tank per min

7/8 x = 1

x = 8/7 min

Answer:

117,000

Step-by-step explanation:

45% of 260,000

= 9/20 of 260000

= 260000/20 =13000

= 13000*9

= 117,000

So the amount of people who are not alive is 117000

The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.

The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.

The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.

According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:

= 315/100,000.

So, the expected number of deaths in the year is

E(X) = 260,000 x 315/100,000

E(X) = 2.6 x 315

E(X) = 819.

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Answer:

The interest is 634.13.

Step-by-step explanation:

Amount deposit , P = 5000

Interest, R = 4 % so, R = 4/4 = 1 %

Time, T = 3 years quarterly

n = 3 x 4 = 12

Let the amount is A.

Use the formula of the compound interest

[tex]A = P \left ( 1 + \frac{R}{100} \right )^n\\\\A = 5000 \left ( 1 + \frac{1}{100} \right )^{12}\\\\A = 5634.13[/tex]

So, the interest is

I = A - P = 5634.13 - 5000 = 634.13

Answer:

4/7 as a decimal is 0.57142857142857.

Answer:

[tex]9p^2-16q^2[/tex]

[tex](3p)^{2} -(4p)^{2}[/tex]

[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]

[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]

[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]

------------------------

hope it helps....

have a great day!!

Answer:

x + 5y -18=0

Step-by-step explanation:

Two points are given to us and we need to find the equation of the line. The given points are (6,3) and (-6,6) . Firstly let's find out the slope of the line .

Finding slope :-

[tex]\implies Slope = \frac{ y_2-y_1}{x_2-x_1} \\\\\implies Slope =\frac{ 3-6}{6+6} \\\\\sf\implies Slope =\frac{ -3}{12} \\\\\sf\implies Slope = \dfrac{-1}{4} [/tex]

Using point slope form :-

[tex]\implies y - y_1 = m( x - x_1 ) \\\\\sf\implies y - 3 = \dfrac{-1}{4}( x - 6)\\\\\sf\implies 4y - 12 = 6 - x \\\\\sf\implies x + 4y -12-6=0 \\\\\sf\implies\underline {\underline{ x + 5y -18=0}}[/tex]

Answer:

She has 23 nickels and 5 dimes.

Step-by-step explanation:

Let n = the number of nickles and d = the number of dimes.

The number of each = 28. Set up the equation:

n + d = 28

Solve for n:

n = 28 - d

The total amount is $1.65 or 165 cents:

5n + 10d = 165

Substitute:

5(28 - d) + 10d = 165

140 - 5d + 10d = 165

140 + 5d = 165

5d = 165 - 140

5d = 25

d = 5, the number of dimes.

Solve for n:

n = 28 - d

n = 28 - 5 = 23, the number of nickles.

Proof:

5n + 10d = 165

5(23) + 10(5) = 165

115 + 50 = 165

165 = 165

Hope this Helps! Have an Awesome Day!!! <3

Step-by-step explanation:

Answer:

Sofia has 23 nickles & 5 dimes

Step-by-step explanation:

The number of each is 28

Form an equation:

[tex]n+d=28[/tex]

Solve for n:

[tex]n=28-d[/tex]

The total amount is $1.65 for 165 cents:

[tex]5n+10d=165[/tex]

Substitute:

[tex]5(28-d)+10d=165[/tex]

[tex]140-5d+10d=165[/tex]

[tex]140+5d=165[/tex]

[tex]5d=165-140[/tex]

[tex]5d=25[/tex]

[tex]d=25/5[/tex]

[tex]d=5[/tex]

Solve for n:

[tex]n=28-d[/tex]

[tex]n=28-5=23[/tex] ⇒ the number of nickles

CHECK:

[tex]5n+10d=165[/tex]

[tex]5(23)+10(5)=165[/tex]

[tex]115+50=165[/tex]

[tex]165=165[/tex]

hope this helps....

Answer:

y = -1/3x - 2/3

Step-by-step explanation:

y = -1/3x + b

-2 = -1/3(4) + b

-2 = -4/3 + b

-2/3 = b

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

Answer:

25.5

Step-by-step explanation:

first find angle E.

remember, all angles in a triangle always add up to 180 degrees.

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5

Answer:

−8s4u2+2s2ux+6x2

Step-by-step explanation:

=(6x+8us2)(x+−s2u)

=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)

=6x2−6s2ux+8s2ux−8s4u2

=−8s4u2+2s2ux+6x2

Answer:

6x² + 2xus² - 8u²s^4

Step-by-step explanation:

(6x+8us²)(x-us²)

6x² - 6xus² + 8xus² - 8u²s^4

6x² + 2xus² - 8u²s^4

Answer:

The length of the arc is 10 pi

Step-by-step explanation:

Mathematically, the length of an arc is calculated as;

theta/360 * 2 * pi * r

theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)

r is the circle radius which is 20 inches

so we have the length of the arc as;

90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi

Answer:

YALLLLLLLLL

Step-by-step explanation:heheh okie thats funnie

Answer:i don’t know

Step-by-step explanation:i don’t know