Is 16.263548952347... a rational
number and why?

The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

To know more about the solution of an inequality, here

https://brainly.com/question/11613554

#SPJ4

The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

Answer:

The answer would be D

Step-by-step explanation:

To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.

Answer:

the answer is d just did the test got it right

Step-by-step explanation:

The approximate length of each side of the box is 18 inch.

The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere called a geodesic. The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The circumference of a circle or other curved geometric object refers to its length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Given,

Circumference of circle = 56.5

c = π diameter

diameter = 3.14 × 56.5

diameter = 18

The approximate length of each side of the box is 18 inch.

To learn more about circumference, visit:

https://brainly.com/question/28757341

#SPJ4

12 km / 3 hours = 4 km in 1 hour

1 hour / 4 km = 1/4 hour per km

Answer: 1/4 hour to run 1 km

Answer:

1/4 hours=0.25 hours

Step-by-step explanation:

Ntate runs 12 km in 3 hours.

Ntate runs 1 km in 3/12=1/4 hours.

Answer:

The mass of the meat when thawed is 7.72 kg (0.28 kg is lost)

Step-by-step explanation:

From the question, we are told that the weight loss amount is 8% of its initial weight

The mass lost here when thawed will be;

8/100 * 3.5 = 0.28 kg

So the mass of the joint will be;

8-0.28 = 7.72 kg

Answer:

50 cubic units

Step-by-step explanation:

The formula for volume of cube = length x width x height

so we do

5 x 5 x 2 =

25 x 2 =

50 cubic units

Hope this helps!

- profparis

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

To know more about functions visit:

https://brainly.com/question/29120892

#SPJ1

The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

To know more about Median

https://brainly.com/question/13168193

#SPJ4

Answer:

Is there a picture of the graphs...?

Step-by-step explanation:

Anyways, the answer should be y= 3/2x +4

If you show me the graphs I could possibly help you find which one is correct.

Answer:

Step-by-step explanation:

Here are the graphs, which one goes with

y = 4 + 3/2x ?

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

To know more about sugar limit refer here:

https://brainly.com/question/30510739#

#SPJ11

The equation of a plane in vector form is r. (n * a) = d, where a is a point on the plane, n is the normal, r is the position vector, and d is the distance from the origin. The line passes through (0,-5,-4) and has a direction vector of d = (1,0,0).

Given:Point through which the line passes (0,−5,−4)Normal to the surface at (0,−5,−4)The equation of a plane in vector form is given byr. (n * a) = dwhere, a is a point on the plane, n is the normal to the plane, r is the position vector and d is the distance of the plane from the origin.For the given point and normal vector,n = (0,-1,0)and a = (0,-5,-4)respectively.

So, the plane equation can be written as

r.(0,-1,0) = - 5

So, the equation of the plane can be given by y = - 5 It is given that the line passes through the point (0,-5,-4) which is normal to the surface at (0,-5,-4).As the given normal vector is in y-direction, the line will be parallel to x-z plane and perpendicular to the y-axis.

So, the direction vector of the line can be given byd = (1,0,0)Now, as the line passes through (0,-5,-4), we can get the vector equation of the line as

r = a + td

where, t is the parameter.So, the vector equation of the line can be givend = (0,-5,-4) + t(1,0,0)Thus, the vector equation of the line through point (0,−5,−4) which is normal to the surface at (0,−5,−4) isr = (t, - 5, - 4) where t is any real number.

Note: In the given question, it was not mentioned about the surface. But it is given that the line is normal to the surface. So, the equation of the surface is taken as the plane equation.

To know more about vector Visit:

https://brainly.com/question/29740341

#SPJ11

The kilograms of compost in the barrel is 5.6 kg

From the question, we have the following parameters that can be used in our computation:

Amount filled on day 1 = 1/4

Remaining space = 4200 grams

The number of kilograms in the barrel is calculated as

Remaining space = (1 - 1/4) * Original space

Substitute the known values in the above equation, so, we have the following representation

(1 - 1/4) * Original space = 4200 grams

Convert to kg

(1 - 1/4) * Original space = 4.2 kg

So, we have

Original space = 4.2 kg/(1 - 1/4)

Evaluate

Original space = 5.6 kg

Hence, the original space is 5.6 kg

Read more about proportions at

https://brainly.com/question/870035

#SPJ1

In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.

So, using the variable 'y' to represent the missing number and simplifying the equation, we have:

Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:

So the missing number is 10.

The simplified boolean expression for f(a, b, c, d) is a'c' + d + b'cd.

Provided expression: f(a, b, c, d) = (a' + c)'d + c'(a + bd')

1. Apply De Morgan's Laws

Recall the De Morgan's Laws:

- (A + B)' = A' · B'

- (A · B)' = A' + B'

Using De Morgan's Laws, we can rewrite the expression as follows:

f(a, b, c, d) = (a'c')'d + c'(a + bd')

2. Distributive Law

We can apply the distributive law to the second term c'(a + bd'):

f(a, b, c, d) = (a'c')'d + c'a + c'bd'

3. Apply De Morgan's Laws again

We can apply De Morgan's Laws to the first term (a'c')':

f(a, b, c, d) = (a' + c)d + c'a + c'bd'

4. Distributive Law (again)

We can apply the distributive law to the first term (a' + c)d:

f(a, b, c, d) = a'd + cd + c'a + c'bd'

5. Simplify

By observing the terms, we can identify some common factors:

In the first term a'd + c'a, we can factor out a': a'd + c'a = a'd + a'c' = a'(d + c')

In the last term c'bd', we can factor out b': c'bd' = b'cd'

Now we can simplify the expression further:

f(a, b, c, d) = a'(d + c') + cd + b'cd'

6. Factor out common terms

We can factor out c' from the first two terms and factor out d from the last two terms:

f(a, b, c, d) = a'c' + c'd + cd + b'cd'

7. Combine like terms

We can combine the terms with c'd and cd:

f(a, b, c, d) = a'c' + (c'd + cd) + b'cd'

Simplifying further, we can observe that c'd + cd = c'd + cd + 0 = (c' + c)d = 1 · d = d:

f(a, b, c, d) = a'c' + d + b'cd

Final simplified form:

f(a, b, c, d) = a'c' + d + b'cd

To know more about boolean expression refer here:

https://brainly.com/question/27309889#

#SPJ11

Answer:

The ratio of 15 boys to 10 girls is equivalent to the ratio of 3:2

Step-by-step explanation:

Answer: -1.71

7(x+3) = 9 is the equation

7x+21 = 9

7x = -12

x= -12/7

x= -1.71

Answer:

Megan's plant is 457 Inches tall

Step-by-step explanation:

I need more info

Step-by-step explanation:

I can help If i had more info

Answer:

7.5 pounds

Step-by-step explanation:

The y-intercept is like the starting point. The baby was 7.5 pounds on the day of her birth (at 0 weeks) Her weight would go up from there. But 7.5 , the actual point (0 , 7.5) is the starting point, on the y-axis. It is the y-intercept.

AC=BD

64 units=10x+24

64-24=10x

40=10x

X=40 divided by 10= 4

hope it helps:)))

Answer:

Translation:

1. Movement of furniture

2. Airplane positioning within a taxiway

3. The position of the mouse cursor on your computer

Reflection:

1. A mirror

2. A double-door exit at school

3. Chairs facing each other at school

Rotation:

1. The Earth's rotation

2. Hands on a clock

3. A carousel

Dilation/Stretch:

1. A balloon expanding

2. A balloon deflating

3. Biological growth

Transformation involves changing the position and/or size of a shape. Some real world examples of transformation are:

Translation: Mouse cursor

Reflection: Mirror

Rotation: The clock

Dilation: Magnifying lenses

Translation

When an object is moved away from its original position, then the object has been translated. Real world examples include:

Reflection

When an object is flipped from its original position, then the object has been reflected. Real world examples include:

Rotation

When an object is turned around a center, then the object has been rotated. Real world examples include:

Dilation

When the size of an object is changed in equivalent proportions, then the object has been dilated. Real world examples include:

See attachment for examples of each transformation

Read more about transformations at:

https://brainly.com/question/11707700

Answer:

fufyfyfugwner546df6f6f6ff5f

Only vectors v and w are perpendicular to each other.

To determine if vectors are parallel or perpendicular, we can analyze their dot products.

a) Comparing vectors u = 5i - j + k and v = i + 5k:

To check for parallelism, we'll calculate the dot product u · v:

u · v = (5i)(i) + (-j)(0) + (k)(5k)

= 5i^2 + 0 + 5k^2

= 5 + 5

= 10

Since the dot product is non-zero (10), the vectors u and v are not perpendicular.

b) Comparing vectors u = 5i - j + k and w = -15i + 3j - 3k:

To check for parallelism, we'll calculate the dot product u · w:

u · w = (5i)(-15i) + (-j)(3j) + (k)(-3k)

= -75i^2 - 3j^2 - 3k^2

= -75 - 3 - 3

= -81

Since the dot product is non-zero (-81), the vectors u and w are not perpendicular.

c) Comparing vectors v = i + 5k and w = -15i + 3j - 3k:

To check for parallelism, we'll calculate the dot product v · w:

v · w = (i)(-15i) + (5k)(3j) + (-15k)(-3k)

= -15i^2 + 15k^2

= -15 + 15

= 0

Since the dot product is zero, the vectors v and w are perpendicular.

In summary:

Vectors u and v are neither parallel nor perpendicular.

Vectors u and w are neither parallel nor perpendicular.

Vectors v and w are perpendicular.

Therefore, among the given vectors, v and w are perpendicular to each other.

To learn more about vectors, refer below:

https://brainly.com/question/24256726

#SPJ11

Answer:

1/3

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

tangent is opposite over adjacent... 24/10 reduces to 12/5

don't forget to give brainliest :)

Answer:tan(Z)=24/10=12/5

Step-by-step explanation:

Tangent of an angle is dividing opposite side by adjacent side

Answer:

\(0.00000013=1.3*10^{-7}\)

Step-by-step explanation:

Example of how scientific notation works:

\(150=1.50*10^{2}\)

How many zeros are there?

6

How many spaces to make it 1.3?

1

6+1=7

\(0.00000013=1.3*10^{-7}\)

Answer: 313.1 feet

Step-by-step explanation:

\tan 82=\frac{x}{44}

tan82=

44

x

​

44\tan 82=x

44tan82=x

x=313.0763\approx \mathbf{313.1}\text{ feet}

x=313.0763≈313.1 feet

Answer:

313.1

Step-by-step explanation:

The equation for g(x) by the given data is g(x) = (-1/4)(x^2).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The function f(x)=x^2

Now,

Since the function g is a scaled version of f(x) = x^2, we can write:

g(x) = a(x^2)

where 'a' is the scaling factor.

To find the value of 'a', we can use the given point on the graph of g:

g(2) = -1

Substituting x = 2 and g(x) = -1 in the above equation, we get:

-1 = a(2^2)

-1 = 4a

a = -1/4

Therefore, the equation for g(x) will be g(x) = (-1/4)(x^2).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

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

Explanation:

The vertical side of the blue triangle is PR = 2

The corresponding vertical side of the green triangle is P'R' = 4

The scale factor is the ratio of those two corresponding sides. So we divide the two side lengths.

scale factor = (P'R')/(PR) = (4)/(2) = 2

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

We could also say:

scale factor = (R'Q')/(RQ) = (6)/(3) = 2

Or you could find the lengths of PQ and P'Q' through the distance formula, or Pythagorean theorem, and apply the same idea as shown above.