A car advertisement states that a certain car can accelerate from rest to 72 km/h in 12.5 seconds.

Initially the car is at rest, so the initial velocity is ______
m/s.

The car speeds up to 72 km/h which is equivalent to _______
m/s. Find the car’s average acceleration.

The acceleration of the car is _______
m/s2

Answer:

1. A

2. Simplification: (not sure)

\( \frac{ - 3x {}^{5} + 6x { }^{2} - 4x - 15 }{9x {}^{2} - 12x + 4 } \)

Answer:

Angle BFC is complimentary to AFB. Its measure is 12.

Step-by-step explanation:

Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.

Answer:

In question 20

B) the triangles are not similar

Step-by-step explanation:

u can see that 1 triangle length is 14 and other 49 and one triangle breath is 8 and other 28 so how they are same

Answer:

IN question 19

what is your question I can't understand

Answer:

Maby b the 2 secoend awnser

Step-by-step explanation:

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

2y -10 > 13

Step-by-step explanation:

Answer:

BCD = 60

ABD - 90

Step-by-step explanation:

BCD)

BC and CD are the same length on in the circle, they are the radius. Therefor,  all angles will be the same at 60

ABD)

All angles together are 180

You know 2 Angles, A at 30 and D at 60

180 - 30 - 60 = Angle B

90 = Angle B

Answer:

i believe the answer would be option D

Step-by-step explanation:

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

Sin 30 = 5/x

Sin 30 = 1/2

x = 10

The length of the side x is 10.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

The length of side x can be calculated using the trigonometric identities.

We know that,

Sin x = Perpendicular / Hypotenuse

Sin 30 = 5 / x

1/2 = 5/x

Multiply 2 on both sides.

1= 10/x

x = 10

Thus,

The length of the side x is 10.

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The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.

The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.

Remember that the volume of a cylinder is given by:

volume = (height)*pi*(radius)^2

Where pi = 3.14

Then here the volume of each coin is:

V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³

And there are 230 coins, so the total volume is:

V = 230*0.384 in³ = 88.47 in³

So the correct option is D.

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Answer: D: 88.47 in³​

Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h

Take 1.4 and times it by itself

1.4 x 1.4 = 1.96

Now multiply 1.96 by 0.0625

1.96 x 0.0625 = 0.1225

And times 0.1225 by pi, or in this case, 3.14

0.1225 x 3.14 = 0.38465

Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.

0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³

That is your answer.

Also I took the same test and I picked 88.47 inches cubed and got it right.

Proof:

Have a good day :)))

Answer:

6/5 x 5/3 is 2

if that's what you need help with

step-by-step explanation

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 3000\left(1+\frac{0.03}{1}\right)^{1\cdot 4}\implies A=3000(1.03)^4 \implies A \approx 3376.53\)

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Step-by-step explanation:

\(2015 \: - \: (2015 \: \div \: 5(x \: - \: 5) \: \div 5) \: = \: 2014\)

\(2015 \: - \: (403 \: \times \: \frac{x \: - \: 5}{5} ) \: = \: 2014\)

\(2015 \: - \: \frac{403(x \: - \: 5)}{5} \: = \: 2014\)

\(2015 \: - \: \frac{403x \: - \: 5}{5} \: = \: 2014 \)

\(10075 \: - \: (403x \: - \: 2015) \: = \: 10070\)

\(10075 \: - \: 403x \: + \: 2015 \: = \: 10070\)

\(12090 \: - \: 403x \: = \: 10070\)

\( - 403x \: = \: 10070 \: - \: 12090\)

\( - 403x \: = \: - 2020\)

\( \boxed{ \bold{x \: = \: \frac{2020}{403} }}\)

Answer:

The three numbers are -4, 0, and 1.

Step-by-step explanation:

mark brainliest

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Answer:

Step-by-step explanation:

B

∠LMN is an obtuse angle.

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

Explanation

Let's go through the answer choices to see which are true, and which are false.

A factory makes parts for toys in different quantities, then the cost of 11 parts would be $4.95.

A mathematical formula known as a cost function can be used to determine the overall cost of production for a given quantity of goods produced. We'll go into more detail about the cost function below. representation of unit expenses in relation to the production of 1 or more units during a construction project.

A cost function is a mathematical formula that shows how production costs will vary depending on the output level. In other words, it makes an estimate of the overall cost of production based on the quantity that will be produced.

$0.90÷2 = $0.45

To get the cost of 11 parts,

$0.45 × $11

= $4.95

Therefore, the correct answer is $4.95.

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Complete question:

A factory makes parts for toys in different quantities, as shown in the table. How much would 11 parts cost?

Answer:

Just Give me a sec

Step-by-step explanation:

I'm solving now

Answer:

a

Step-by-satep explanation:

just took it

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

you didn't give us the cost of the mushrooms but,

Step-by-step explanation:

If it is a even number then multiply 30 with the price.

Answer:

\(Area = 27cm^2\)

\(P=23cm\)

Step-by-step explanation:

Required

The area and the perimeter

Solving (a): The area

The shape is a composite figure withe following characteristics:

Rectangle 1: 3cm by 5cm

Rectangle 2: 2cm by 6cm

So, the area is the sum of the areas of both rectangles

\(Area = 3cm * 5cm + 2cm*6cm\)

\(Area = 15cm^2 + 12cm^2\)

\(Area = 27cm^2\)

Solving (b): The perimeter

This is calculated as:

\(P=3cm + 5cm + 2cm+6cm + 2cm + 5cm\) --- sum of all lengths

\(P=23cm\)

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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