5.2.PS-20 Question Help If 10 miles 16 km, about how many miles would be equal to 140 km? Show how you decided. Complete the ratio that can be used to solve this problem. 10 miles ? miles 16 km 140 km Find the factor that is multiplied by the denominator of the given ratio. 16 km x 140 km (Type an integer or a decimal.) X H vo More Enter your answer in the answer box and then click Check Answer. 1 part Clear All Final Check remaining Review progress Question 8 of 12 Back Next →

The ratio of points scored by Jennie, Sarah, and Sadie in the basketball games played last week was 1:3:5. If jenny scored 10 points last week, what was the total number of points scored by these three girls?

The ratio of points scored by Jennie, Sarah, and Sadie in the basketball games played last week was 1:3:5.

jenny scored 10 points last week game.

=> 1x, 3x, 5x.

=> 1(10), 3(10) , 5(10)

=> 10, 30, 50

Therefore, The points scored by Jennie, Sarah, and Sadie in the basketball game played last week was 10, 30, 50

The total number of points scored by these three girls are:- 10+30+50 = 90

Answer:

Very Small as if the exponent is negative it means that the number is a fraction

Step-by-step explanation:

Answer:

actually I am sorry I dont rly know but I need some points

Step-by-step explanation:

Answer:

5/-2

Step-by-step explanation:

the slope formula is rise over run. the rise is 5 and the run is -2. in decimal form the answer is -2.5

The length of the diagonal is

The length of the diagonal, d can be obtained by applying the Pythagorean Theorem.

Answer:

A 256/3

Step-by-step explanation:

1/3 * 4^4 =

1/3 * (4*4*4*4) =

1/3 * 256 = 256/3

Answer:

A = 256/3

Step-by-step explanation:

F(x) = 1/3 × 4ˣ = 4ˣ/3

F(4) = 4⁴/3 = 256/3

Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

This equals 8/25.

Step-by-step explanation:

Because this is a multiplication problem, just multiply the two fractions. The would be (2*4) / (5*5), or 8/25.

We can actually deduce here that considering the conditional statement and scenario, the conditional statement is false.

Conditional statement is actually known to be an if-then statement. It is usually used to show and emphasizes the relationship that exists between two ideas. This means that one idea comes as a result of the other.

Conditional statements actually helps one to make proper deductions in a clear and rigorous way.

We see here that considering the scenario that "the power went out and reset all the clocks in the house", even if alarm was set, it wouldn't ring out because all the clocks in the house were reset when the power out.

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Answer:

nx^(n-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

The total plots of vegetable cloud will be: 19

Step-by-step explanation:

From the question statement, it is clear that the cloud has \(8\frac{4}{15}\) plots of pechay, \(5\frac{1}{3}\) plots of eggplants and \(5\frac{2}{5}\) plots of okra.

so, Just add all the plots to get the total plots of the vegetable cloud.

i.e.

\(8\frac{4}{15}+5\frac{1}{3}+5\frac{2}{5}=\frac{124}{15}+\frac{16}{3}+\frac{27}{5}\)

                       \(=\frac{124}{15}+\frac{80}{15}+\frac{81}{15}\)

                       \(=\frac{124+80+81}{15}\)

                       \(=19\)

Therefore, the total plots of vegetable cloud will be: 19

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

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The result of the given terms is -2/5 as per the given question from complex numbers.

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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The product of the two linear functions is:

(fg)(x) =  8x^2 + 10x  - 3

A general linear funuction can be written as:

f(x)= a*x  +b

Let's say that our functions are:

f(x) = ax + b

g(x) = cx + d

The sum is:

(f + g)(x) = ax + b + cx + d = (a + c)x + (b + d)

(f - g)(x) = ax + b - cx - d  =(a - c)x + (b - d)

And we know that:

(f+g)(x)=-6x-2 and (f-g)(x)=-2x+4.

Then we can write:

(a + c)x + (b + d) = -6x - 2

(a - c)x + (b - d) = -2x + 4

Then we have 4 equations:

a + c = -6

b + d = -2

a  - c= -2

b - d = 4

Solving these we can get:

a = -4

c = -2

b = 1

d = -3

(you can check these values)

The two linear functions are:

f(x) = -4x + 1

g(x) = -2x - 3

The product is:

(fg)(x) = (-4x + 1)*(-2x - 3) = 8x^2 + 12x - 2x - 3

                                       = 8x^2 + 10x  - 3

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Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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The area of the trapezoid is 104 square yards

As given a table was made by Veronica which is in the shape of a trapezoid.

twice as long as the table's width

Let us find the area of the trapezoid by the given data and formula of trapezoid

The length of the bottom base is x= 16 yd.

Area A=(a+b)h/2

a=10 yd

b=16 yd

h =8 yd

Substitute the values of a, b and h in the area of trapezoid

Area =1/2(10+16)8

=208/2

=104 square yards

Hence, the area of the trapezoid is 104 square yards

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Answer:

y+3 = -1/4(x-8)

Step-by-step explanation:

Point slope form is y-y1 = m(x-x1)  where m is the slope and (x1-y1) is a point on the line

(y- -3) =-1/4(x-8)

y+3 = -1/4(x-8)

On solving the provided question, we can say that - the initial value in number line will jump to +12 value

A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.

here,

the initial value of the number line is = 15

and on adding 12

it will jump to = 15 + 12

= 27

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Answer:

75%

Step-by-step explanation:

1. The ordered pair (1, 5) is a solution to the system of equations.

2. The ordered pair (-2, 0) is NOT a solution to the system of equations.

To determine if the ordered pair (1, 5) is a solution to the system of equations, we substitute the values into the equations and see if they hold true.

-5(1) + 6(5) = 25

25 = 25 (holds true)

-7(1) + 8(5) = 33

33 = 33 (holds true)

Since both equations hold true for the values of m=1 and n=5, we can conclude that the ordered pair (1, 5) is a solution to the system of equations.

To determine if the ordered pair (-2, 0) is a solution to the system of equations, we substitute the values into the equations and see if they hold true.

8(-2) - 3(0) = -16

-16 = -16 (holds true)

-9(-2) - 2(0) = 50

4 ≠ 50 (does not hold true)

Since one of the equations does not hold true for the values of x=-2 and y=0, we can conclude that the ordered pair (-2, 0) is NOT a solution to the system of equations.

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The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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Answer:

g ∥ h

Step-by-step explanation:

since lines e,f,g are parallel to each other,

h is perpendicular to lines e,f,g

Answer:

\(y=-\frac{4}{3} x-\frac{14}{3}\)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

Parallel lines will always have the same slope. Therefore, this line will have the same slope as the given line \(y=-\frac{4}{3} x+ \frac{7}{3}\).

Plug in \(-\frac{4}{3}\) as the slope

\(y=-\frac{4}{3} x+b\)

2) Determine the y-intercept (b)

To find the y-intercept, plug the given point (-5,2) into the equation and solve for b.

\(2=-\frac{4}{3}(-5)+b\\2=\frac{20}{3}+b\)

Subtract both sides by \(\frac{20}{3}\)

\(2-\frac{20}{3} = \frac{20}{3}+b-\frac{20}{3}\\\frac{6}{3} -\frac{20}{3}=b\\-\frac{14}{3} = b\)

Therefore, the y-intercept is \(-\frac{14}{3}\).

3) Plug the y-intercept back into our original equation

\(y=-\frac{4}{3} x-\frac{14}{3}\)

I hope this helps!

Hello.

Answer:

1/200, 667/500

I hoped this helped