Two cars, initially at rest and 5 km apart at t=0 , simultaneously move toward each other. Car A travels at a constant speed of 55 km/hour, while car B travels at a constant speed of 12 km/hour. How far will car A travel before meeting car B in the middle?

Answer:

Do you want the equation?

y = [tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

1. One square

2. Four squares

3. Nine squares

4. Sixteen squares
5. Twenty-five squares

6. Thirty six squares

7. 49 squares

8. 64 squares

9. 81 squares

10. 100 squares

Step-by-step explanation:

The pattern is add six squares to the image before the one you’re working.

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from the knowledge of square and square root of numbers√49=7

-√49

-√7^2

-7

Answer:

h= 3x/x −5

Step-by-step explanation:

hx=3x−5

Step 1: Divide both sides by x.

hx/x = 3x/x −5

h= 3x/x −5

        x

Answer:

h= 3x/x −5

If there is a pair of parallel sides in the following shape. the area of the shape is:  21 unit².

Using this formula to determine or find  the area of the shape

Area  = (1/2)× (Area+ breadth )height

Where:

Area= 9

Breadth= 5

Height = 3

Now Let plug in the formula so as to find the area

Area of the shape = (1/2)× (9 + 5) ×3

Area of the shape = (1/2)× (14)×3

Area of the shape = (1/2)× 42

Area of the shape= 21 unit²

Therefore If there is a pair of parallel sides in the following shape. the area of the shape is:  21 unit².

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The simpliified value of the expression 6 5/8 x -1 2/5 is - 371/40

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

6 5/8 x -1 2/5

Convert the mixed fractions to improper fractions

So, we have

6 5/8 x -1 2/5 = 53/8 x - 7/5

Evaluate the product of the numerators in the above expression

So, we have

6 5/8 x -1 2/5 = 53/8 x - 7/5

Evaluate the product of the numerators in the above expression

So, we have

6 5/8 x -1 2/5 = - 371/8 x 1/5

Evaluate the product of the denominators in the above expression

So, we have

6 5/8 x -1 2/5 = - 371/40

Hence, the simpliified value of the expression 6 5/8 x -1 2/5 is - 371/40

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Answer:

12

Step-by-step explanation:

Biff has $12 left out of the money

Biff earned $45 at happy days drive-in

He spent 1/3 of the money on gas

He also spent 1/5 of the money flowers

The money he has left can be calculated as follows

45 × {1-(1/3+1/5)}

= 45× (1-8/15)

= 45 × 7/15

= 3 × 7

= 21

Hence Biff has $12 left

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The value of f(-5) when we solve the function f(x) is -5.

A function is a statement, tenet, or rule that creates a correlation between two variables. In mathematics, functions are used often and are required to build complicated connections.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The function can be solved as:

    [tex]f(x) = -(x+8)^{2} +4[/tex]

           [tex]=-(-5+8)^{2}+4[/tex]

           [tex]=-(3)^{2}+4[/tex]

           [tex]=-9+4[/tex]

           [tex]=-5[/tex]

Hence, f(-5) = -5

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Answer:

[tex]\sqrt{161}[/tex] ft

Step-by-step explanation:

According to the pythagorean theorem, in a right-angle triangle, the sum of of the squared legs is equal to the hypotenuse squared.

In simpler words, if we have legs [tex]a[/tex] and [tex]b[/tex], as well as hypotenuse [tex]c[/tex], then [tex]a^2 + b^2 = c^2[/tex].

In our case, we know that [tex]a = 8[/tex] and [tex]c = 15[/tex], therefore, we should try and find b.

[tex]8^2 + b^2 = 15^2\\\to 64 + b^2 = 225 \text{ // Subtract by 64}\\\to b^2 = 161 \text{ // Take the square root of both sides}\\\to b = \sqrt{161}[/tex]

Answer:

56°

Step-by-step explanation:

Supplementary angles are = to 180° so you have to subtract 124 from 180 which gives you 56°

Expand the limand as

[tex]\dfrac{e^{x^3} - (1 - x^3)^{1/3} + \left((1-x^2)^{1/2} - 1\right) \sin(x)}{x \sin^2(x)} \\\\ ~~~~~~~~ = \dfrac{e^{x^3} - (1-x^3)^{1/3}}{x^3} \cdot \dfrac{x^2}{\sin^2(x)} + \dfrac{(1-x^2)^{1/2} - 1}{x^2} \cdot \dfrac{x}{\sin(x)}[/tex]

Recall that for [tex]a\neq0[/tex],

[tex]\displaystyle \lim_{x\to0} \frac{\sin(ax)}{ax} = 1[/tex]

Then

[tex]\displaystyle \beta = \lim_{x\to0} \left( \dfrac{e^{x^3} - (1-x^3)^{1/3}}{x^3} + \dfrac{(1-x^2)^{1/2} - 1}{x^2}\right)[/tex]

Rationalize the numerators.

[tex]\dfrac{e^{x^3} - (1-x^3)^{1/3}}{x^3} = \dfrac{e^{3x^3} - (1 - x^3)}{x^3 \left(e^{2x^3} + e^{x^3} (1-x^3)^{1/3} + (1-x^3)^{2/3}\right)} \\\\ ~~~~~~~~~~~ = \left(\dfrac{e^{3x^3} - 1}{x^3} + 1\right) \cdot\dfrac1{e^{2x^3} + e^{x^3} (1-x^3)^{1/3} + (1-x^3)^{2/3}}[/tex]

and observe that

[tex]\dfrac1{e^{2x^3} + e^{x^3} (1-x^3)^{1/3} + (1-x^3)^{2/3}} \to \dfrac13[/tex]

[tex]\dfrac{(1-x^2)^{1/2}-1}{x^2} = \dfrac{(1-x^2) - 1}{x^2 \left((1-x^2)^{1/2} + 1\right)} \\\\ ~~~~~~~~ = -\dfrac1{(1-x^2)^{1/2} + 1} \to -\dfrac12[/tex]

This leaves us with

[tex]\displaystyle \beta = \lim_{x\to0} \frac{e^{3x^3} - 1}{3x^3} - \frac16[/tex]

The remaining limit is the derivative of [tex]e^{3x^3}[/tex] at [tex]x=0[/tex], so its value is 1, and we find

[tex]\beta = 1 - \dfrac16 = \dfrac56 \implies 6\beta = \boxed{5}[/tex]

Area of semicircle is 77.

What is semicircle?

A semicircle is defined as half circle formed by cutting the circle into two halves.

Given that;

Diameter of semicircle = 14

Radius of semicircle = 14/2 = 7

Now, Area of semicircle = 1/2 (πr²)

Substitute π = 22/7 and r = 7, we get;

Area of semicircle = 1/2 (πr²)

                             = 1/2 × (22/7) × 7 × 7

                             = 77

So, Area of semicircle is 77.

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Answer:  $640

Step-by-step explanation:

Answer:

640

Step-by-step explanation:

4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.

5. The length of segment CE to the nearest tenth is; 46.7 in.

4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.

The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.

5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.

Therefore, we can establish that;

BD/AE = CD/CE

6/14 = 20/CE

CE = (14 × 20)/6

CE = 140/3

CE = 46.667 in.

Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.

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The value of x is 10.

Given m∠3 = 4x+10 and m∠4 = 5x

Now, we need to determine what value of x it is.

We know that in quadrilateral four angles are there in that two angles are equal it is said to be as Rhombus.

Two angles are given in this question. We assume those are equal angles.

∴ m∠3 = m∠4

By substituting the values of two angles, we get

4x+10 = 5x

By deducting '4x' on both sides, we get

4x+10-4x = 5x - 4x

10 = x

∴ x = 10

The final value for x is 10.

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Answer:

$32.00

Step-by-step explanation:

The easiest way of calculating discount is, in this case, to multiply the normal price $80 by 40 then divide it by one hundred. So, the discount is equal to $32. To calculate the sales price, simply deduct the discount of $32 from the original price $80 then get $48 as the sales price.

HELP PLEASE? THE PICTURE IS ATTACHED FOR ANYONE THAT WANTS TO HELP, I’D APPRECIATE IF SOMEONE HELP ME ANSWER THIS

Answer:

40% Of 80 is 32

The value of the angle  x is 108 degree.

According to the statement

We have to find that the value of the x in the adjacent angle.

So, For this purpose, we know that the

The adjacent angles is the two angles are said to be adjacent angles when they share the common vertex and side.

From the given information:

When we extend line AB to E

Then ∠EBC is created

Since BC is parallel to AD

So, ∠EBC =∠BAD = x° (corresponding angles are equal )

Linear pair : Two angles are said to be linear if they're adjacent angles formed by two intersecting lines. The measure of a angular unit is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Now With the linear pair property

x+(x-36) = 180

2x - 36 = 180

2x  = 180+36

2x = 216

x = 216/2

x = 108.

Then one angle is of 108 degree and second angle is 72 degree.

So, The value of the angle  x is 108 degree.

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Answer:

Step-by-step explanation: second point correspond to the last entry in the table

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

Find common denominators :)

6/9

Divide by 4 (the common factor of 9 and 12)

2/3

Multiply by 4

8/12

8/12 = 8/12

Now, simplify.

2/3

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

Have a great day/night! :)

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For Triangle T to translate Triangle U

1. Translate (-3, 0) to (1, 2).

2. Translate (-2, -1) to (2, 1) .

3. Translate (-4, -3) to (0, -1).

Options A and C

This is further explained below.

Generally, A translation is a kind of geometric transformation that is used in Euclidean geometry. This type of transformation involves moving each point of a figure, shape, or space by the same distance in a certain direction.

In conclusion,  for  Triangle T to translate Triangle U

1. Translate (-3, 0) to (1, 2).

2. Translate (-2, -1) to (2, 1) .

3. Translate (-4, -3) to (0, -1).

Therefore, Options A and C are valid

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Answer:

w>5

Step-by-step explanation:

Go onto symbolab it's a website good for solving math problems like this

Answer: L=A/W

Step-by-step explanation: If you do this then you will find the length because L x W = A. So if the area is determined by l and w then you could divide A by the width to find the length because you multiply length and width to find the area

The horizontal asymptote of the given function f(x) is y = –2.

The numerator does have a degree one, and so does the denominator.

The foremost term in the numerator has a coefficient of -2.

In the denominator, the coefficient again for leading term is 1.

At y = -2/1, the horizontal asymptote exists.

Thus, the horizontal asymptote of the function is found as -2.

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1+3+5+5+1+3+5+0+0

4+5+5+1+3+5

9+5+1+3+5

14+1+3+5

15+3+5

18+5

23

23/9

the mean is 2 and 5/9

Answer: Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Step-by-step explanation: