Train A departs from Point A with a velocity of 100 km/h, Train B departs from Point B with a velocity of 200 km/h, and the distance between point A and B is 1200 km. How long will it take for the trains to meet?

Answer:

419,920 is the new value when it's increased by sixteen percent

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

1st year= 9500

2nd year= 500+ x

9500*2 =19000

19000+500 = 19500

your answer in 19500 or if you need in just the formula way its

9500x+500 or 500 + x

Step-by-step explanation:

Answer:

{f+s=9500

s=2f+500

Step-by-step explanation:

during the 2 years in college= f+s

a student earned $9500= 9500

the second year she earned s=500

more than (+)

twice the amount she earned the first year 2f

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Living in a state without sales tax may appear better for individuals, but other taxes or fees may compensate for the lost revenue. States with sales tax have a reliable source of revenue, but it can be costly to manage.

The decision depends on the specific circumstances and priorities of the individual and the state, aiming to balance revenue generation and minimizing the burden on individuals.

Sales tax is a consumption tax levied on the sale of goods and services.

From an individual's perspective, it can be argued that living in a state without a sales tax may be better as they do not have to pay extra money at the time of purchase. However, it's important to note that states without sales tax often have higher income taxes, property taxes, or other fees to make up for the loss of revenue. So, it's not necessarily a straightforward decision.

From the state government's perspective, having a sales tax can provide a reliable and steady source of revenue, which can help fund important government programs and services. However, the implementation and management of a sales tax can be costly and time-consuming.

In my opinion, The choice between a state with or without sales tax relies on factors like the economic climate and individual financial situations. The objective is to find a balance between raising state revenue and reducing the financial burden on people.

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\(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

What is scientific notation?

Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.

To subtract these two numbers, we need to make sure they have the same exponent. We can do this by rewriting \(7.21 * 10^3\) as \(0.721 * 10^4\) (since \(7.21 * 10^3 = 0.721 * 10^4\)).

Now we can perform the subtraction:

\(7.24 * 10^4 - 0.721 * 10^4 = 6.519 * 10^4\)

Therefore, \(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

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\( - 3 + 3 \times {}^{5} = - 3(1 - \times {}^{5})\)

The answer in the rectangular form expressing real and imaginary parts are 3.064+i(2.5712).

In mathematics, a complex number is a part of a number system that includes an element with the symbol I often known as the imaginary unit, and extends the real numbers. Complex numbers satisfy the equation that any complex number can be represented as a + bi, where a and b are real numbers. René Descartes referred to me as an imaginary number because no real number can satisfy the aforementioned equation. A and b are referred to as the real and imaginary parts, respectively, of the complex number a+bi. Complex numbers are accepted in the mathematical sciences as being just as "real" as real numbers despite the historical appellation "imaginary."

4(cos 160°+i sin160°)(cos 120°- i sin 120°)/(cos²120°+sin²120°)

=4(cos 160° cos120°- i sin120° cos 160°+ i cos120°sin160°+sin160°sin120°)

=4(cos(160°-120°)+i(sin(160°-120°)

=4(cos(40°)+i sin(40°))

=4(0.766+1(0.6428))

=3.064+i(2.5712)

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The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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Step-by-step explanation:

7/ 12 is equivalent to - 7/-12

Answer:

Hello your question is incomplete attached is the missing part the second curve ; y = 3x is incomplete so i would solve the problem taking the second curve as ; y = 3x + 8 ( giving you the general methodology )

answer : y = ( 5,32) , x = ( -1,8 )

area of shaded region = 90.673

Step-by-step explanation:

The given curves ; \(y = x^2 - 4x\\y = 3x +8\)

solving the above curves simultaneously

\(x^2-4x = 3x + 8\)

x^2 - 7x - 8 = 0

( x + 1 )(x - 8 ) = 0

hence  X = ( -1 , 8 )

Therefore y = 3x + 8

when x = -1 ,  y = -3 + 8 = 5

when x = 8 ,  y = 24 + 8 = 32

hence y = ( 5, 32 )

attached below is the sketched region

Integrating the curves to determine the shaded area in respect to x = ( -1, 8)

∫ [( 3x +8 ) - ( x^2 - 4x ) ] dx

∫ ( -x^2 +7x + 8 ) dx

= { - x^3/3  + 3x^2 + 8x }

= { - 8^3/3 + 3(64) + 64} - { -1^3/3 + 3 - 8 }

= {-170.66 + 192 + 64 } - { -1/3 - 5 }

= -170.66 + 192 + 64 + 5.333 = 90.673 ( area of the shaded region )

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

The two answers on the first row are correct

Step-by-step explanation:

PLATO

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

1 year = 12 months and 52 weeks.

Divide the yearly salary to find both:

Monthly = 57300/12 = $4,775

Weekly: 57300 / 52 = $1,101.92

To begin, please note that

(1) Complementary angles add up to 90 degrees

(2) Supplementary angles add up to 180 degrees.

Therefore;

Answer:

37.8

Step-by-step explanation:

The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m.

Using Pythagorean theorem:

d² = h² + b²

d² = 5² + 3²

d = √34

d = 5.8 m

Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters

Credits to:jbiain

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

Micheal is 12.

Step-by-step explanation:

Michaels brother is 4 years older than him, correct?

If michael is 12, and his brother is 4 years older, you have to add 4 to 12, 12+4=16, And 12+16=28.

Answer:

145

Step-by-step explanation:

Answer:

first blank box:

cos^2(a)

second blank box:

sin^2(a)

see image.

Step-by-step explanation:

Usually, to "verify" you work on the equation using algebra and identities...BUT ONLY CHANGING ONE SIDE. Keep the other side the same and try to make them look the same.

The step to get what's in the first blank box is multiplying

(1-cos a)(1+cos a)

which will make a difference of two squares.

The second blank is using a pythagorean identity that

cos^2 + sin^2 = 1

so

1 - cos^2 = sin^2

see image.

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4