Why the US civil rights movement gain new momentum after World War ?

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

Step-by-step explanation:

14/19/24

The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

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The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

Answer:

Step-by-step explanation:

BED=52

BAC=43

B=180-43-52=85

DE/8=15/12, DE=10

BC/15=9/10, BC=13.5

(9+EC)/15=9/10, 9+EC=13.5, EC=4.5

BD/10=12/15, BD=8

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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For the given dimensions of the figure , the area of the figure is equal to 33.28cm².

As given in the question,

Area of the given figure is as follow:

Figure is divided into three parts :

A. Semicircle

B. Big rectangle

C. Small rectangle

Area of Semicircle is equal to

Radius 'r' = 4/ 2

               = 2cm

Area of semicircle = 1/2( πr²)

                             = 1/2 ( 3.14 × (2)² )

                             = 6.28 cm²

Area of big rectangle = Length × width

                                 = 9.5 × 2

                                 =  19 cm²

Area of small rectangle = 4 × 2

                                     = 8 cm²

Area of the whole figure = ( 6.28 + 19 + 8 )

                                      = 33.28 cm²

Therefore, for the given dimensions of the figure , the area of the figure is equal to 33.28cm².

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Answer:

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

.18x+2-.1x=3

..08x=1

x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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According to given information the perimeter of the rectangle is 34 units.

What is rectangle?

A rectangle is a four-sided flat geometric shape in which all angles are right angles (90 degrees) and opposite sides are parallel and equal in length. The length of a rectangle is usually greater than its width, and the two pairs of opposite sides have the same length.

To find the perimeter of the rectangle, we need to find the length and width of the rectangle, and then use the formula for perimeter, which is P = 2L + 2W.

Let's plot the four given points on the graph:

Connecting these points, we can see that the rectangle has a length of 11 units (the distance between (-7, 2) and (4, 2)) and a width of 6 units (the distance between (-7, 2) and (-7, -4)).

Therefore, the perimeter of the rectangle is:

P = 2L + 2W

P = 2(11) + 2(6)

P = 22 + 12

P = 34

So the perimeter of the rectangle is 34 units.

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Answer: 34 units

Step-by-step explanation:

Answer:

Option 2, 3, 4

Step-by-step explanation:

It cannot be the 1st option because a linear function doesn't have an \(x^{2}\) and adding an x to an x will not make it squared. ax + by = c is the linear equation.

It can be the 2nd option because the quadratic formula is  f(x) = a\(x^{2}\) + bx + c and the middle portion could cancel when adding 2 together.

It can be option 3, because f(x) = a\(x^{2}\) + bx + c plus ax + by = c could give you the resulting function f(x) = -3\(x^{2}\) +5

It can be option 4 because multiplying ax + by = c by ax + by = c would give you an \(x^{2}\).

It cannot be option 5 because a\(x^{2}\) + bx + c multiplied by a\(x^{2}\) + bx + c would give you a function with \(x^{4}\)

Answer:

10

Step-by-step explanation:

right on edge, ITS NOT 6

Answer: 10

Step-by-step explanation:

edge2020

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

y=-3 x=1 (1,-3)

Step-by-step explanation:

y=x-4

y=6x-9

y+4=x

y+9=6x

difference = 5

x+5=6x

x=1

y=-3

1,-3

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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A person wants to buy 5 pack of something for $9.98 or 7 packs of something for $ 14.14

The problem is asking is what is the better buy (the one that costs less)

So we compare the cost per unit:

with the 5 pack we get $9.98 / 5 = $ 1.996 per unit which we round to $2.00

with the 7 pack we get $14.14 / 7 = $2.02 per unit

So, the better option is the first one (the 5 pack per $9.98) which saves us 2 cents per units.

Answer:

i think For every hour Harriett bikes, the distance she travels increases by 12 miles

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

9514 1404 393

Answer:

  6 × 5

Step-by-step explanation:

If you want to reduce the fraction 12/30, you want to find the greatest common factor of 12 and 30. We can find that by looking at the prime factorization of each number.

  12 = 2·2·3

  30 = 2·3·5

The greatest common factor is 2·3 = 6. This means ...

  \(\dfrac{12}{30}=\dfrac{12}{6\times5}\)

The product of interest is 6 × 5.

_____

Additional comment

Any of the factor pairs of 30 could be used. Only the one shown is useful for reducing the fraction to lowest terms.

  30 = 1×30 = 2×15 = 3×10 = 5×6

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

Answer:

\(c > -1\)

Step-by-step explanation:

\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)

(a) (i) The elements of A are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

(ii) The elements of B are: 2, 3, 5, 7, 11, 13, 17, 19.

(b) (i) A∩B = 2

(ii) A∪B = 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20.

(iii) Ac ∩ Bc = 3, 5, 7, 11, 13, 17, 19.

(iv) Ac ∪ Bc = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

(v) A∩Bc = 4, 6, 8, 10, 12, 14, 16, 18, 20.

(a) (i) To find the elements of A, we need to identify the even numbers between 1 and 20. The even numbers in this range are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.

(ii) To find the elements of B, we need to identify the prime numbers between 1 and 20. The prime numbers in this range are 2, 3, 5, 7, 11, 13, 17, and 19.

(b) (i) A∩B represents the intersection of sets A and B, which means finding the common elements in both sets. The common element in this case is 2.

(ii) A∪B represents the union of sets A and B, which means combining all the elements from both sets without repetition. The union of A and B is 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, and 20.

(iii) Ac ∩ Bc represents the intersection of the complement of A and the complement of B. The complement of A contains all the odd numbers between 1 and 20, while the complement of B contains all the composite numbers between 1 and 20. The intersection of these complements is 3, 5, 7, 11, 13, 17, and 19.

(iv) Ac ∪ Bc represents the union of the complement of A and the complement of B. The union of these complements is 1, 3, 5, 7, 9, 11, 13, 15, 17, and 19.

(v) A∩Bc represents the intersection of A and the complement of B. The complement of B contains all the even numbers between 1 and 20 except 2, which is the only common element with set A. Thus, A∩Bc consists of 4, 6, 8, 10, 12, 14, 16, 18, and 20.

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Answer:

Instead of typing all can u pls put a picture

Step-by-step explanation:

c

Step-by-step explanation:

8877284857944764477$68+)(

Answer:

B

Step-by-step explanation:

e2021 on god

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

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Answer:

B.

Step-by-step explanation:

Answer: B

Step-by-step explanation: