(a) The average velocity of 25 taxies is 40 km/hr and the average velocity of 35 trucks is 30 km/hr. Find the combined average velocity of both types of vehicles. ( a ) The average velocity of 25 taxies is 40 km / hr and the average velocity of 35 trucks is 30 km / hr . Find the combined average velocity of both types of vehicles.​

The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have

[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]

(E)

Answer:

see the attachment photo!

The point slope form of line is y+4 = -4( x+3)

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

Given:

m=4

We know the general form is

y - b = -4(x - a)

So, from the graph attached below

b= -4, a= -3

So, y-(-4)= -4(x-(-3))

y+4 = -4( x+3)

Hence,  point slope form of line is y+4 = -4( x+3).

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Answer:

[tex]144 cm^{2}[/tex]

Step-by-step explanation:

Step 1: Find the true length of each side

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of [tex]x[/tex], then we get the true length of each side, so we would get [tex]5x, 12x, 6x, 5x[/tex] for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation [tex]5x + 12x + 6x + 5x = 56[/tex]. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm  

Step 2: Calculate the Height

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: [tex]\frac{base_{1} + base_2}{2}*height[/tex]. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

Step 3: Calculate the Area

Lastly, we can calculate the area. The formula is [tex]\frac{base_{1} + base_2}{2}*height[/tex]. In this case, the numbers would be [tex]\frac{12 + 24}{2} * 8 = 144cm^{2}[/tex]

I know this is a lot, so let me know if you have any questions!

Answer:

I don't see a correct answer.  See below.

Step-by-step explanation:

Thanks for clarifying the question.  But if 27√3 is the correct expression, I don't see an answer option that fits.  

√3 = 1.732

27*(1.732) = 46.77

But all the answer options are whole numbers.  The presence of√3 makes it difficult to find an expression that would result in a whole number.  Expressions such as:

27/√9 = 9, or

√27/√3 = 3

would be more consistent with producing a whole number result.

I hope this helps.

Answer:

(-3,5) (-3,3) (-8,3)

Step-by-step explanation:

Answer:

(-3,5) , (-3,3) , (-8,3)

Step-by-step explanation:

bye, bye!!

Answer:

A. 1

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x.

x-intercept(s): (-5,0)

Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.

If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.

The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.

Probability refers to a possibility that deals with the occurrence of random events.

(a) The probability that the person opposed the tax or is female.

P(opposed the tax or is female) = 298 / 1052 = 0.28

(b) The probability that the person supports the tax or is male.

P(supports the tax or is male) = 168/1052 = 0.15

(c) The probability that the person is not unsure or is female.

P(is not unsure or is female) = 27 / 1052 = 0.025

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The number of adults are 2 . the number of youths are 8

Given charge $7 for adults , $2 for youth and $0.50 for children

Let the number of adults , youths and children be x , y and z

Now it is given that there is total pay of 100

Therefore the equation formed is

7x + 2y +0.50 = 100

Now it is also given that 150 people enter

Therefore

x+y+z=150

x+y+z =150

14x+4y+z=200

Using argument matrix

[tex]\left[\begin{array}{ccc}1&1&1\\14&4&1\end{array}\right] \left[\begin{array}{ccc}150\\200\end{array}\right][/tex]

Corresponding system equation is

x+y+z=150

y+(13/10)z=190

Take z = m (arbitary)

y = 190 - 1.3 m

x = 150 - y

m = 140 x = 2 and y = 8

Hence The number of adults are 2 . the number of youths are 8

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Answer:

B. Matter

Explanation:

When rocks break down and become smaller ex: mountains eventually becoming sand, the matter does not disappear or get destroyed, it becomes smaller particles, but the matter is always preserved.

Hope It Helps!!!

Answer:

matter

Step-by-step explanation:

The conservation of matter states that

Here big matters gets down into smaller pieces

but they are not destroyed

Answer: -50

Step-by-step explanation:

5 - 6 / 5p = 125 degrees

1/2p = ?

First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.

-6/5p = 125-5 degrees

-6/5p = 120 degrees

now, multiply 5p on both sides.

-6 = 120 * 5p degrees

-6 = 600p degrees

divide 600 on both sides

-6/600 = p degrees

-0.01 = p degrees

p = -0.01

1/2p = 1 / -0.02 = -50

Hope I helped!

A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = πr²

In order to calculate the total area of the cheesecake, since it's a circle its area is given by:

cheesecake area =  πr²

cheesecake area =  π(10/2)² =  π(5)²

cheesecake area = 25 π square inches

Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:

The number of slices = 25 π/(25 π/12)

The number of slices = 12

The cheesecake has 12 slices.

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Answer: 12 slices

Step-by-step explanation:

im a year late woo hoo

The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

-2 < 0.5(-3) + 2

-2 < 0.5 (satisfied)

1 < 0.5(-2) + 2

1 < 1  (Not satisfied)

-2 < 0.5(-1) + 2

-2 < 1.5 (Satisfied)

2 < 0.5(-1) + 2

2 < 1.5 (Not satisfied)

-2 < 0.5(1) + 2

-2 < 1.5 (Satisfied)

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The quadratic equation  is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.

The complete question is

If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.

(table is in the photo below)

Which quadratic equation models the data in the table?

y= −0.25x2 + 2x + 5.5

y= −0.35x2 + 2x + 5.5

y= −0.27x2 + 3x + 5.5

y= −0.15x2 + 2x + 5.5

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

When  two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.

The standard form of the Quadratic equation is

y = ax² + bx + c

here a, b and c are constants.

From the given data in the table

at point (0, 5.5)

5.5 = a(0)² + b(0) + c          

at point (1, 7.35)

7.35 = a(1)² + b(1) + c    

at point (2, 8.9)

8.9 = a(2)² + b(2) + c    

The system of equations will be solved to determine the value of a,b and c

a= -0.15, b = 2, c = 5.5

Therefore , The quadratic equation  is y = -0.15x² + 2x + 5.5 .

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Answer:

B) y= -0.25x^2 + 2x + 5

Step-by-step explanation:

I got it correct on test

PS: Can I have brainiest?

Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.

Binomial distribution is known to be a kind of probability distribution whos models or show the probability of getting one of two outcomes in any  said number of points or parameters.

Note that:

5abc -2a² + 6abc

Add like terms

= 11abc - 2a²

5x³∙ 2x² -10x⁴ +3x⁵+ 3x∙(-2) x⁴

Simply

=5 . 2x³⁺² - -10x⁴ +3x⁵+ 3x∙ 2x⁴

=10x³⁺²  -10x⁴ +3x⁵+ 3∙ 2xx⁴

= 7x⁵ + 10x⁴

(t+2)²-4t

Simply

= (t² + 2t.2 + 2²) - 4t

=  (t² + 2t.2 + 4) - 4t

= t² + 4

The same applies for the rest. Therefore, one can say that Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.

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Answer:

the answer is C, 5a^6b

Step-by-step explanation:

Answer:

This assumes that the question was meant to read:

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters."  And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

If the question was correctly written, then answer is:

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

+ (3x+2) cm

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = +9y^2  + 12 y  + 4

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

The perimeter of triangle 8x+ 3y + 1.

The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.

The basic formula used to calculate the perimeter of a triangle is:

Perimeter = sum of the three sides

Given:

sides of triangle  (7x-4) centimeters, (x+3) centimeters, and (3y+2).

Now, perimeter of triangle

= 7x-4 + x+ 3 + 3y+ 2

=8x + 3y + 5-4

=8x+ 3y + 1

Hence, the perimeter of triangle 8x+ 3y + 1.

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The distance of the yacht from the ship is 35 km

See attachment for the diagram that represents the given parameters.

The distance of the yacht from the ship is then calculated using the following law of cosine.

YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)

This gives

YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)

Evaluate the exponents and the products

YS^2 = 576 + 144 + 522

Evaluate the sum

YS^2 = 1242

Take the square root of both sides

YS = 35

Hence, the distance of the yacht from the ship is 35 km

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Answer:

Step-by-step explanation:

_3x_13 =_7x+15 what is the anSWER?

assuming that the underscore is a minus and you are looking for the x value.

-3x - 13 = -7 + 15

-3x = -7 + 15 + 13

-3x = 8 + 13

-3x = 21

x = -7

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

check

-3 * (-7) - 13 = -7 + 15

21 - 13 = 8

8 = 8

the answer is good

Answer:

Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.

Answer:

72  sq cm

Step-by-step explanation:

For any rectangle, the diagonal is the hypotenuse of the right triangle formed by the base of the rectangle(b) and the height (h) of the rectangle

By the Pythogorean formula

[tex]d^{2} = b^{2} + h^{2}[/tex]

where d is the diagonal

For a square, all sides are equal so b = h = a and we get the formula

[tex]d^{2} = a^{2} + a^{2} = 2a^{2}[/tex]

[tex]a^{2} = d^{2} /2[/tex]

In this case we have d =12 so

[tex]a^{2} = 12^{2} /2 = 144/2 = 72[/tex]

But for a square of side a, the area is [tex]a^{2}[/tex] so 72 is the area

Answer:

72 square cm

Step-by-step explanation:

       [tex]\sf \boxed{\bf Area = \dfrac{d^{2}}{2}}[/tex]  , here d is the length of the diagonal

                  [tex]\sf =\dfrac{12* 12 }{2}\\\\ = 6*2\\\\= 72 \ cm^2[/tex]

Answer:

6x²

Step-by-step explanation:

[tex]-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x[/tex]

                     [tex]=\frac{3}{4} \times 8\times x\times x[/tex]          

                     [tex]=\frac{24}{4} \times x^{2}[/tex]

                     [tex]=6x^2[/tex]

Option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have a quadratic expression to model the area of the rectangle:

= x² – 7x + 6

[tex]\rm =\left(x^2-x\right)+\left(-6x+6\right)[/tex]

[tex]=\rm x\left(x-1\right)-6\left(x-1\right)[/tex]

= (x - 1)(x - 6)

Thus, option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.

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Answer:

x =  17.32 units

Step-by-step explanation:

In a right triangle tan (angle) = opposite leg / adjacent leg...

  for this triangle   tan 27° = 34 / x

      then x = 34 tan 27° = 17.32 units

Answer:

all angles of the triangles is 60

Step-by-step explanation:

the perimeter = 2*side of an isosceles triangle + bottom edge

----> bottom edge = the perimeter - 2*side of an isosceles triangle  =25

----> This is an equilateral triangle ----> all angles of the triangles is 60

The value if T(290) is 330.6

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

Given:

T(x) = x + 0.14x

T ( 290)= 290+ 0.14* 290

            = 290+ 40.6

           = 330.6

Hence, the value of T(290) is 330.6.

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Answer:

B.  7/2 miles per 1 hour

Step-by-step explanation:

The unit rate in this case ,means ,

the number of miles  for every 1 hour

Since Taylor walks 7 miles in 2 hours

Then

He walks 7/2 miles in 1 hour

Thus

The unit rate that Taylor walks at is :

7/2 miles per 1 hour

Answer: 2114

Step-by-step explanation:

m = sum of the terms / number of terms

151 = a/ 14

14 x 151 = a

2114 = a

Answer:

21.14 m

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

here mean is 151 cm and count = 14 , then

[tex]\frac{sum}{14}[/tex] = 151 ( multiply both sides by 14 to clear the fraction )

sum = 14 × 151 cm = 2114 cm = 2114 cm ÷ 100 = 21.14 m