Two alien pacehip tart traveling toward each other from pace tation that are 710,000 km apart. The firt pacehip tarted an hour before the econd pacehip and i traveling at 110,000 km/hr. In how many hour will the two pacehip meet if the econd pacehip i traveling at 90. 000 km/hr?

Answer:

C. y ≤ –3x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

The range of possible perimeters of the square=10.583

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

A rectangle has a perimeter of 16 centimeters.

The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters.

let, x represents the length of a side of the rectangle,

then the rectangle's area is represented by x(8-x) square centimeters.

i.e. area of square = 8x-x^2

the side = √x(8-x)

perimeter= 4×√x(8-x)

Hence, the range of possible perimeters of the square=10.583

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Answer:

There are three ways to solve systems of linear equations: substitution, elimination, and graphing.

We can solve this equation by using quadratic formula. So we have two solution of given equation.

Write the quadratic equation in standard form a + bx + c = 0. Identify the values of a, b, c. Then write the Quadratic Formula. Then substitute in the values of a, b, c. Then solve and check the solution.

Quadratic formula that gives the solutions of the general quadratic equation a + bx + c = 0 and that is usually written in the form quadratic formula x = [-b ± √(b² - 4ac)] / (2a). So to solve a quadratic equation using quadratic formula just get the equation into standard form a + bx + c = 0 and apply the quadratic formula.

Here we have equation 5-7x+4

where a=5  b= -7   c=4

putting values in the formula

x= -(-7) +[tex]\sqrt{(-7)^2-4(5)(4)/2(5)}[/tex]

x= 7 + [tex]\sqrt{49+80/10}[/tex]

x= 7+[tex]\sqrt{129/10}[/tex]

Hence given values given two solutions.

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Complete question is: How to solve the given  quadratic equation?

Answer:

357.5cm^2

Step-by-step explanation:

Answer:

c. infinitely many solutions

Step-by-step explanation:

hope this helps :)

Answer:

A. The car spends 2.05 hours going 55 miles per hour

B. The car spends 1 hour going 35 miles per hour

C. The trip takes 3.6 hour

Step-by-step explanation:

The equation is

55x+35y=200

Let's solve A

We know the car spends 2.5 hours going 35 miles per hour on the trip, so we put 2.5 in for y and solve for x

55x+35(2.5) = 200

55x + 87.5 = 200

55x = 112.8

x = 2.05 hours going 55 miles per hour

So, the car spends 2.05 hours going 55 miles per hour

Let's solve B

55(3)+35y=200

165 + 35y = 200

35y = 35

y = 1 hour

So, the car spends 1 hour going 35 miles per hour

Let's solve C

We know the car spends no time going 35 miles per hour, so we put 0 in for y and solve for x

55x+35(0)=200

55x = 200

x = 3.6  hours

So, the trip takes 3.6 hour

Answer:

[tex]1)2 ~real ~ solutions[/tex]

[tex]2) 0 ~ real ~solutions[/tex]

[tex]3) 1~real ~solutions[/tex]

Step-by-step explanation:.

[tex]1) x^2+y^2=17[/tex]

[tex]y=-1/2x[/tex]

[tex]x^2+1/4x^2=17[/tex]

[tex]4x^2+x^2=68[/tex]

[tex]5x^2=68[/tex]

[tex]x^2=68[/tex]

[tex]x=[/tex] ± [tex]\sqrt{68/5}[/tex]

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

[tex]2) y=x^2-7x+10[/tex]

[tex]y=-6x+5[/tex]

[tex]-6x+5=x2-7x+10[/tex]

[tex]x^2-x+5=0[/tex]

[tex]a=1[/tex]

[tex]b=-1[/tex]

[tex]c=5[/tex]

[tex]D=b^2-4ac[/tex]

[tex]=1-20[/tex]

[tex]=-19[/tex]

[tex]\sqrt{0} =\sqrt{-19}[/tex]

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

[tex]3) y=-2x^2+19[/tex]

[tex]8x-y=-17[/tex]

[tex]8x+2x^2-9=-17[/tex]

[tex]8x+2x^2+8=0[/tex]

[tex]4x+x^2+4=0[/tex]

[tex]x^2+4x+4=0[/tex]

[tex]x^2+2x+2x+4=0[/tex]

[tex]x(x+2)+2(x+2)=0[/tex]

[tex](x+2)(x+2)^2=0[/tex]

[tex](x+2)^2=0[/tex]

[tex]x=-2[/tex]

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

hope it helps...

have a great day!!!

The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40

The amount of buying 7 litres of orange juice at the cheapest buy is £2.52

500 ml bottle for £1.40

Convert ml to liters:

500 ml = 0.5 liters

Unit rate = 0.5/1.40

= £0.36 per liter

2 litre carton for £2.50

Unit rate = 2/2.50

= £0.8 per liter

2 cartons for £4.50

Unit rate = 2/4.50

= $0.44 per carton

3 litre carton for £3.50

Unit rate = 3 / 3.50

= £0.86 per liter

The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.

Therefore, the cost of 7 liters at the cheapest buy

= £0.36 per liter × 7

= £2.52

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Answer:

Step-by-step explanation:

1436 is the answer

Answer:

it might be 2.6

Step-by-step explanation:

im assuming the 16.3 is the circumfrence, so if you follow the formula for circumfrence (2πr) the radius would be 2.6. hope this is correct

The radius r of the circle is 4.4 yd .

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

For a circle, the arc length formula is θ times the radius of a circle.

 Arc Length = 2 π r (θ/360°)  

where,

r = radius of circle

θ = angle of Sector

According to the question

Arc Length of circle = 16.3 yd

Angle of sector= 240°

By using arc length formula

Arc Length = 2 π r (θ/360°)  

substituting the value

16.3 = 2π r (240°/360°)

16.3 = 2π r * [tex]\frac{2}{3}[/tex]

16.3 * 3 = 4π r

54.9 = 4π r

As π = [tex]\frac{22}{7}[/tex]

54.9 = 4 *  [tex]\frac{22}{7}[/tex] r

54.9 * 7 = 88 r

384.3 = 88 r

r = 4.4 yd

Hence, The radius r of the circle is 4.4 yd .

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Answer:

65

Step-by-step explanation:

20% is 1/5 of 100.

multiply 13 by 5 to get the original amount of numbers. you can proof check it by doing

13/65 which is 0.2. multiply the decimal by 100 and you get 20. which is 20%

An acute triangle is a triangle with all angles measuring less than 90°.

To solve an acute triangle using trigonometry, we need to know the length of at least one side and at least one angle of the triangle.

For example, let's assume the triangle has side lengths a = 6, b = 8, and we know the angle A = 30°.

First, we can use the Law of Cosines to calculate the length of the third side, c:

c² = a² + b² - 2abcos(A)

c² = 6² + 8² - 2(6)(8)cos(30°)

c² = 64 - 96cos(30°)

c² = 64 - 48

c² = 16

c = 4

Now we can calculate the other two angles, B and C, using the Law of Sines:

sin(B) = sin(A) * c/a

sin(B) = sin(30°) * 4/6

sin(B) = 0.5 * 2/3

sin(B) = 0.3333

B ≈ 19.47°

sin(C) = sin(A) * c/b

sin(C) = sin(30°) * 4/8

sin(C) = 0.5 * 0.5

sin(C) = 0.25

C ≈ 14.04°

Therefore, the three angles of the triangle are A = 30°, B = 19.47°, and C = 14.04°, and the three sides are a = 6, b = 8, and c = 4.

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Answer:

the answer should be 3/4

The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.

Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.

AD = 2/3AB

Length of DE:

∅ = 1.18 + 2.36 = 3.54 radians

r = 2/3AB

Length of arc DE = (3.54)(2/3AB) = 2.36(AB)

Length of BC:

∅ = 1.18 radians

r = AB

Length of arc BC = (1.18)(AB) = 1.18(AB)

Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2

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Answer:

.

Step-by-step explanation:

On solving the provided question, we can say that - the value of x in triangle ABD is = 60

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here, in triangle ABD

x = 60

as its acute angle

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Answer: 6 1/10

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

35.2/ 8.8= 4

4

Answer:

Box 2 :)

Step-by-step explanation:

Answer: 1271

Step-by-step explanation:

620 + (105% × 620) =

620 + 105% × 620 =

(1 + 105%) × 620 =

(100% + 105%) × 620 =

205% × 620 =

205 ÷ 100 × 620 =

205 × 620 ÷ 100 =

127,100 ÷ 100 =

1,271

Answer:

Step-by-step explanation:

2/8 = 1/4

2/8 = 200/800

and so on.

There are an infinite number of possibilities here.

Answer:

1/4

Step-by-step explanation:

2/8 can be simplified to 1/4

2/8 divided by 2/2 = 1/4

but there are also many other ways

10/40,6/24, etc

0.7n+0.8n=2.1

1.5n=2.1

n=1.4

Therefore, the answer is B.

Answer:

B). n = 1.40

Step-by-step explanation:

0.7n + 0.8n = 2.1

(0.7n + 0.8n) = 2.1

1.5n = 2.1

/1.5 /1.5

n = 1.40

hope this helped!

By unitary method 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

Students traverse a total area of 40 yards by 40 yards, or 1600 yards.

24 kids covered an area of 8 ft x 8 ft, or (8 ft x 1 yd/3 ft)2 = [(8/3) yard]2 = (64/9) yd.

The number of students present is calculated by multiplying the number of students per yard, or 24 students/(64/9) yd2, by the area that students cover.

Therefore: 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

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Answer:

40 min per period

Step-by-step explanation:

When it has 8 periods :

Total time = 45 min per period for 8 period

Total time = 45 × 8 min

When it has 9 periods : let each period be of x min

Total time = x min per period for 9 period

Total time = x × 9 min

As total time remains same,

45 × 8 = x × 9

5 x 8 = x

40 = x

After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.

What are polynomials?

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.

The polynomials are -

a(x)=-x^4

b(x)=x^2+1

Divide a(x) by b(x).

-x^4/x^2+1 = -x^2+1 with remainder as -1.

The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.

The given equation is -

a(x)/b(x)=q(x)+[r(x)/b(x)]

Plugging in all the values -

-x^4/x^2+1=-x^2+1+[-1/x^2+1]

[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1

-x^4+1/x^2+1=-x^2-1

-x^4+1=[-x^2+1][x^2+1]

-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]

-x^4+1=-x^4-x^2+x^2+1

-x^4+1=-x^4-1

So, LHS=RHS is proved using the equation.

Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.

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Answer:

I uploaded the answer to^{}

a file hosting. Here's link:

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ly/3gVQKw3

Answer:

34 pounds

Step-by-step explanation:

51 pounds of plum = 27 quarts

x pounds of plum   = 18 quarts

(cross multiply)

27x = 918

divide both sides by 27

x=34 pounds

Answer:

14π

Step-by-step explanation:

Area πr^2= 49π sq cm

so r= 7 cm

perimeter= 2πr= 14π