(Solve the problem down below & simplify the answer. Round to the nearest hundredth as needed.)

Given:

a.) A truck travels due west at an average speed of 48 miles per hour.

b.) The other truck travels due east at an average speed of 45 miles per hour.

Let's determine how many hours will the two trucks be 558 miles apart.

We will be using the following equation:

Let the two trucks be named Truck A and Truck B.

Let x = the time the two trucks will be 558 miles apart

We get,

Let's find x,

Therefore, the two trucks will be 558 miles apart after 6 hours.

Here, I hope it's helpful.

Answer:

16x² - 12x

Step-by-step explanation:

(f • g )(x)

= f(x) × g(x)

= 4x(4x - 3) ← multiply each term in the parenthesis by 4x

= 16x² - 12x

The linear inequality that is represented by the graph is y ≤ x/3 - 4. The correct option is the second option y ≤ x/3 - 4

From the question, we are to determine the linear inequality that is represented by the graph

First, we will determine two points on the line

The line in the graph passes through (0, -4) and (3, -3)

Using the equation,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

(y - -4)/(x - 0) = (-3 - (-4))/(3 - 0)

(y + 4)/x = (-3 + 4)/3  

(y + 4)/x = 1/3

y + 4 = 1/3x

y = 1/3x - 4

y = x/3 - 4

This is the equation of the line

In the given graph, the line is a solid line and the solution of the inequality is below the line

Thus,

The inequality becomes y ≤ x/3 - 4

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The measure of angle TRS would be of 37º.

The vertices of the triangle can be attributed freely, hence we attribute as is in the drawing.

The altitude RT bisects the triangle forming a right angle, with R and T, hence the internal angles of the triangle TRS are as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of the missing angle TSR can be found as follows:

43 + 90 + x = 180

133 + x = 180

x = 180 - 133

x = 47º -> m<TSR = 47º.

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The domain is

and the range

Then, the answer is d)

Answer:

4+3(×+23)=5×-2

Step-by-step explanation:

4+3×+69=3×from here you will group like terms 4+69=3×-3×

=73=×

this implies that ×=73

The set of values for y={-3, 0, 5} for given values of x={0, 3, 8} and the equation is 3x-3y=9 and the domain D={0≤x≤8}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

The given equation,

3x-3y=9

When x=0, 3*0-3y=9

-3y=9

y=-3

When x=3, 3*3-3y=9

-3y=0

y=0

When x=8, 3*8-3y=9

3y=15

y=5

The set of values for the equation 3x-3y=9 and the domain D=0≤x≤8 is given as x={0, 3, 8} and y={-3, 0, 5}.

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 Hay 3 veces 13 en 47.

La respuesta la divides 47 por 13 lo que te daría 3.6153846153846.

Answer:

Im unsure what your asking but the answer is 6 1/2 in fraction form and 6.5 in decimal form :/

Step-by-step explanation:

math

When 117 is divided by 18 we get 117/18 in fraction form.

To divide 117 by 18, we perform long division.

We start with the first digit of the dividend (1) and divide it by the divisor (18).

Since 18 is larger than 1, the quotient for this step is 0.

We then bring down the next digit (1) and place it next to the previous result.

Again, since 18 is larger than 11, the quotient for this step is 0.

Therefore, the result of dividing 117 by 18 is 0 with a remainder of 117.

In fraction form, this can be expressed as 117/18.

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Given:

Point R: (5, 1)

Midpoint M: (1, 4)

Since it's been mentioned that point M is a midpoint. Finding S, the graph should look like this:

Let's determine the translation from point M to R, because the opposite of it will be the translation to get point S.

From Point M to R:

Therefore, getting to the endpoint S, it will have 4 units to the left and 3 units upward.

We get,

Therefore, the missing endpoint is: -3, 7

Given:

A figure is given.

Required:

To find the area of the given figure.

Explanation:

The given figure is made up of three figures. So we will find the area of the three figures.

Area of square

Area of the triangle

You have a figure (black lines) with the following points:

C(-4,0)

G(-5,-2)

Q(-2,-5)

I(-1,0)

After a translation, the figure becomes the red one, with the following points:

C'(1,2)

G'(0,-1)

Q'(3,-4)

I'(4,1)

You can notice that each x' coordinate of the new figure is respecto the previous figure:

x' = x + 5

Furthermore, for y':

y' = y +1

That is, the transformation applied to the figure (black lines), is:

T<5,1>

In fact, for each point you have:

T<5,1>C(-4,0) => C'(-4+5 , 0 + 1) = C'(1 , 1)

T<5,1>G(-5,-2) => G'(-5 + 5 , -2 + 1) = G'(0 , -1)

T<5,1>Q(-2,-5) => Q'(-2 +5 , -5 + 1) = Q'(3 , -4)

T<5,1>I(-1,0) => I'(-1 + 5 , 0 + 1) = I'(4 , 1)

40º

7) In this problem, we can see that both tangent lines to that circle come from the same point O.

So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO

Answer:

m∠1 = 80°

m∠2 = 80°

m∠3 = 100°

Step-by-step explanation:

Same-side Exterior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Therefore:

⇒ m∠1  + 100° = 180°

⇒ m∠1  + 100° - 100° = 180° - 100°

⇒ m∠1  = 80°

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Therefore:

⇒ m∠2 = m∠1 = 80°

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

⇒ m∠3 = 100°

Answer:

Solution

verified

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Given, A={1,2,3,4}, B={2,4,6,8} and C={3,4,5,7}.

Now, B∩C={4}.

The  A−(B∩C)={1,2,3}.

Answer:

B-C=(2,4,6,8)-(3,4,5,6)

=(2,8)

because we have to remove only maching number from B or any other.

5 [ 83- (8-1)²]

we will first work on the inner parenthesis

5 [ 83 - (7)²]

5[ 83 - 49]

5[34]

=170

SOLUTION

3To calculate the test statistics, we use the following steps:

Step 1: We write out the parameters

Step 2: Write out the formula for the test statistics (t)

step 3: Find t

Hence, the test statistic is approximately 0.98 to two decimal places.

A

I got it right on the test and i got the answer on another app

Answer:$15.47 per person

Step-by-step explanation:

The total cost of the bill, divided into 6 groups:

92.82/6=15.47

The cost, if the number of guests is 50, will be $22500.

So, the relationship between the dollar cost of the dinner, C, and the number of guests, g, is represented by the equation C = 410 + 22g.

When we have 50 guests at the banquet the cost would be:

Hence, the cost, if the number of guests is 50, will be $22500.

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Answer:

1/2

Step-by-step explanation:

There are 4 possibilities:

First ball Second ball

1. Black Pink

2. Black Black

3. Pink Pink

4. Pink Black

The first and the forth options are the the probabilities that there is picked one ball for each color. (2 possibilities )

The second and the third options are the probabilities that there ate picked 2 balls of same colour.

(2 possibilities)

There are 4 possibilities in total. So the probability is 2/4=1/2

Answer:

4590

Step-by-step explanation:

less the 5 round down

Answer:

4590

Step-by-step explanation:

When rounding to the nearest ten we use these following rules.

We round the number up to the nearest ten if the last digit in the number is 5,6,7,8 or 9.

We round the number down to the nearest ten if the last digit in the number is 1,2,3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

STEP 2: Determine the x-intercept for the given function.

To determine the x intercept, we set y equals zero and solve for x. Therefore, we have:

STEP 3: Get the y-intercept

We can get the y-intercept by setting x towards zero and solve for y

STEP 4: Plot the graph of the given function

We have a fifth degree polynomial:

This polinomial has 3 real roots, that can be expressed as: log2(a), log2(b) and log2(c).

Also, it has two imaginary roots, one of which is di (they have to be conjugate, so the other imginary root is -di).

We have to show that abc = 8.

If we consider the information given, we have some information about all the roots.

We can rewrite the polynomial in factorized form as:

As the polynomial is defined for real numbers, we can write a polynomial with only the real roots as:

Then, we can relate the roots as:

Answer:

  (d)  The triangles are similar, because each has angles that measure 36°, 62°, and 82°.

Step-by-step explanation:

Given triangle A has angles 36° and 82°, and a figure showing angles related to triangle B, you want to know if the triangles are similar.

The triangles will be similar if the angles of one are congruent to the angles of the other. Between the two triangles, we are given 3 different angle values, so we need to find at least two additional angle values in order to determine if the triangles are similar.

The sum of angles in a triangle is 180°, so the third angle of triangle A will be ...

  angle = 180° -36° -82° = 62°

The exterior angle of triangle B, given as 144°, is the sum of the remote interior angles:

  144° = 62° +angle

  82° = angle

Now, we have the angles of triangle A as 36°, 62°, and 82°. Two of the angles of triangle B are known to be 62° and 82°, matching those of triangle A.

The triangles are similar, because each has angles that measure 36°, 62°, and 82°.

The most appropriate choice for Vertically opposite angle will be given by-

b =  126°, c = 54°

What is Vertically opposite angle?

At first we need to understood what is angle

Angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Vertically opposite angle

The angle formed by two intersecting straight lines and are opposite to one another at a specific vertex is called vertically opposite angle.

Vertically opposite angles are equal.

Here,

∠b = 126° [Vertically Opposite Angle]

∠c = 180° - 126° [Angle on a straight line]

    = 54°

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Noted that the Diagonals of a parallelogram bisect each other. Here in PQSR, it does bisect PT =ST and QT = TR). Hence, PQSR is a parallelogram.

Note that IGHJ is a parallelogram. This is because the opposite sides of a parallelogram are congruent. Here, H = I and G = J. Hence, IGHJ is a parallelogram.

It is correct to state that CABD is a parallelogram because of the alternative interior angles ACB = CBD and ABC = BCD.

VWYX is NOT a parallelogram. The rule states that if opposites sides are congruent then the quadrilateral is a parallelogram. In this case, clearly, line VW ≠ XY and VX ≠ WY.

A parallelogram (which could be a rhombus, rectangle, or square) is a quadrilateral with congruent and parallel opposing sides.

There are six critical parallelogram characteristics to note. They are:

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