Mathematics High School

Convert 40 km/hr to m/s. Show work and 11 in to mm.

Answers

Answer 1

Answer:

11.1111 for 40 km

279.4 for 11 in

Step-by-step explanation:

Related Questions

San diego San Diego California is about 2,683,824 feel away from san francisco.los Los angeles is about 700000 feet closer to san francisco then san diego is. Which of the following cold be the actual distance between los angeles and san francisco

Answers

The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

Given that,

The distance between San Diego and San Francisco = 2,683,824 feet,

And,

Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,

Now,

Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.

So,

Now,

According to the question,

To find the actual distance,

The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)

i.e.

The actual distance between Los Angeles and San Francisco = 2,683,824-700,000

On solving we get,

The actual distance between Los Angeles and San Francisco = 19,83,824

Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

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In Exercises 4 and 5, find the area of the polygon with the given vertices.
4. P(1,1) Q(-2,1), R(-1,-4)

5. A(3,7), B(5,7), C(3,-7), D(5,-7)

Answers

Answer:

#4: 7.5

#5: 28

Step-by-step explanation:

Polygon in #4

is a triangle
base = 1 - (-2) = 1+2 = 3
height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height h = (1/2)b.h

So area of this triangle = (1/2) (3) (5) = 15/2 = 7.5

Polygon in #5
is a rectangle with length = 7 - (-7) = 7 +7 = 14

and width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28

Hope that helps

The area of the polygon for exercise 4 is 7.5 square units and for exercise 5 the area is 28 square units.

What is an area?

The space occupied by the object in two-dimensional space is called as the area.

For a triangle, the area will be calculated as,

base = 1 - (-2) = 1+2 = 3

height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height,

h = (1/2)b.h

Area of this triangle,

A = (1/2) (3) (5) = 15/2 = 7.5

Rectangle with length = 7 - (-7) = 7 +7 = 14

Rectangle width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28 square units

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Find the sum of (6-t-t²) and (10t + t²).
and write the sum from the question too

Answers

Sum of these expression is (-t+16).

Fest expression.
(6-t-t²)
Second expression is
(10+t²)
We have to find the sure of these expressions
(6-t-t²)+10+t².
6-t-t²+10+t²
Now, we take the same to coefficient at the same side
-t²+t²-t+10+6. [ -t²+t² = 0]
-t+16
-t+16 is the sum of first and 2nd expression .

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HELP ME PLS
Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create
te g(x). Write the equation g(x)

Answers

Answer:

g(x) = | x + 5 | + 2

Step-by-step explanation:

given f(x) then f(x ± h ) represents a horizontal translation of f(x)

• if x > 0 then a shift to the left of h units

• if x < 0 then a shift to the right of h units

here f(x) is shifted left by 5 units , then

g(x) = | x + 5 |

given f(x) then f(x) + k represents a vertical translation of f(x)

• if k > 0 then a shift up of k units

• if k < 0 then a shift down of k units

here f(x) is shifted up 2 units , then

g(x) = | x + 5 | + 2

What is the x -intercept of f(x)=x³-x²+1 ? Round the answer to the nearest hundredth.

Answers

The x -intercept of f(x)=x³-x²-1 is x=1.46557.

What are Cubic polynomials?Cubic polynomials are polynomials with the highest degree of three. A cubic polynomial can only have three roots or solutions. We must find the X intercept for the given cubic polynomial in the given example.

So, to find the x-intercept of f(x)=x³-x²-1:
To find the x-intercept, substitute y = 0.

y = f(x)x³-x²-1 = 0

Using the long division method, we obtain:

x³-x²-1/x-1.46557 = x²+0.46557x+0.68232x = 1.46577 and x²+0.46557x+0.68232 = 0x = -0.2328 ± 0.7925i ∉ R

Therefore, the x -intercept of f(x)=x³-x²-1 is x=1.46557.

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The correct question is given below:
What is the x-intercept of f(x)=x³-x²-1? Round the answer to the nearest hundredth.

ZA and ZB are vertical angles. If mA = (6x – 16)° and mZB = (4x + 22)°,
then find the measure of ZB.

Answers

As A and B are vertical angles, the measures of angle A and B is 98° each.

What in geometry are Vertical Angles?

When two lines collide, vertical angles are created. The angles that are directly opposite one another, out of the four that are generated, are vertical angles. Additionally, they are known as "vertically opposed angles." All of these angles are equal.

Vertical angles are created when two straight lines cross. Angles vertically are consistently congruent and equal. As the two sets of non-adjacent angles created by crossing two lines superimpose on one another, vertical angles are congruent.

As A and B are vertical angles,

6x - 16 = 4x + 22

⇒ 2x = 38

⇒ x = 19

Measure of Angle A is 98°

Measure of Angle B is 98°

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cuantos enteros hay en 384/135

Answers

Hay dos enteros en 384/135

1. Identify as algebraic expression, numerical expression or equation:
a) 3x+1
b) 3+x=5
c) 2²-6(347),

Answers

Answer:

a) algebraic expression

b) equation

c) numerical expression

Step-by-step explanation:

Hope this helps......if not then sorry for wasting your time and may God bless you<3

Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:

Length: 13x - 9 units
Width: 4.5x + 8 units
If the length is greater than the width, which inequality represents this situation?

Answers

The inequality that represents the given situation is 13x - 9 > 4.5x + 8

Writing an Inequality

From the question, we are to determine the inequality that represents the given situation

From the given information, we have that

The length of the laptop is given by 13x - 9 units

and

The width of the laptop is given by 4.5x + 8 units

If the length is greater than the width, then we can write that

13x -9 > 4.5x + 8

Hence, the inequality is 13x - 9 > 4.5x + 8

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Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3.Calculate the value of k

Answers

In the area of the rectangle the value of the k is 6.

According to the statement

We have to find that the value of the k in the area of rectangle.

So, For this purpose, we know that the

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

From the given information:

Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3 and the measurements of the second rectangle is k+3 by 6.

Then

The area of the first rectangle = 3k*3

The area of the first rectangle = 9k

And

The area of the second rectangle = 6(k+3)

The area of the second rectangle = 6k+18

Then

Compare the both values of the area

6k+18 = 9k

9k - 6k = 18

3k = 18

k = 18/3

k = 6.

So, In the area of the rectangle the value of the k is 6.

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Write an absolute value equation representing all numbers x whose distance from 5 is 3 units.

Answers

The absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

How to illustrate the information?

It should be noted that from the information, we are to write an absolute value equation representing all numbers x whose distance from 5 is 3 units.

Therefore, the absolute value equation representing all numbers x will be illustrated as:

x - 3 = 5.

It should be noted that we will solve for x

Therefore, x - 3 = 5

Collect like terms

x = 5 + 3.

x = 8

Therefore, the absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

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what is a word phrase i could use for this algebraic expression 7x-2?

Answers

A word phrase that can be used for 7x - 2 would be as follows:

“Two less than the product of seven and a number”

The keyword “two less” means to subtract 2 from a number.

The keyword “product” means to multiply. When there is a coefficient represented by a number alongside a variable, they are multiplied.

The word phrase that is useable for the algebraic expression could be “two less than the product of seven and a number.”

A toy helicopter flies forward with a force of 15 N into an oncoming wind of 10 N. The force of gravity pulls the helicopter down
with a force of 5 N, but the propeller is providing an upward force of 10 N.
Which of the following accurately describes the helicopter's force?
(1 point)
O The toy helicopter is flying forward with a force of 15 N.
O The toy helicopter is flying forward with a force of 10 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 15 N and upward with a force of 10 N.

Answers

The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

What is Newton's Third Law of Motion?

Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.

Next, we would determine the resultant forces in the two scenarios as follows:

Resultant force A = Forward force - Wind force

Resultant force A = 15 N - 10 N

Resultant force A = 5 Newton.

Resultant force B = Upward force - Force of gravity

Resultant force B = 10 N - 5 N

Resultant force B = 5 Newton.

In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

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What is the quotient of negative 192 over negative 16?

Answers

Answer:

Step-by-step explanation:

[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]

Answer:

12 (please use a calculator next time)

Step-by-step explanation:

When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.

[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]

Factor ab + bc + b 2 + ac.

Answers

The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).

Given ab + bc + b² + ac

A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.

To factor the terms we need to write like terms on one side as below

= ab + ac + bc + b²

Separating the common terms as

= a ( b + c ) + b (c + b )

= a ( b + c ) + b ( b + c )

= ( a + b ) ( b + c )

Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).

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You have $28, and you want to get half-dollar from the bank to give to children who come into
your store. How many half-dollar coins are in $28?

Answers

The total number of half-dollar coins are in $28 given to children who come into your store is 56.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

You have $28, and you want to get half-dollar from the bank to give to children who come into your store.

According to given question we have

Half-dollar from the bank= $28

1/2 =28

1=28*2

1=56

So, the total number of half-dollar coins given to children who come into

your store is 56.

Therefore, the total number of half-dollar coins are in $28 given to children who come into your store is 56.

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Subtract. 10,000 - 6,128

Answers

Answer:

3872

Step-by-step explanation:

10,000 - 6,128 = 3872

use calculator man

3872 is going to be your answer

The denominator of a rational number is greater than its numerator by 2. If 5
is subtracted from the numerator and 5 is added to its denominator, the new
number becomes 1
4
. Find the number.

Answers

Based on the word problem, the number is 9

What is a Rational Number?

This refers to the type of number that is expressed as the ratio of two integers that has a non-zero denominator.

Calculations and Parameters

Let the numerator be x

Let the denominator be x+2

If 5 is subtracted from the numerator

x - 5

If 5 is added to the denominator

x +2 + 5

x-5/x+7= 1/4

Cross multiply the values

It becomes

4x- 20 = x+ 7

3x= 27

x= 9

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Where's the bus? Jayden takes the same bus to
work every morning. The amount of time (in min-
utes) that he has to wait for the bus to arrive can be
modeled by a uniform distribution on the interval
from 0 minutes to 10 minutes.
a) draw a density curve to model the amount of time that Jayden has to wait for the bus. Be sure to include scales on both axes.
b) on what percent of days does Jayden wait more than 7 minutes for the bus?
c) find the 38th percentile of this distribution.

Answers

Using the uniform distribution, we have that:

a) The graph is given at the end of the answer.

b) Jayden waits more than 7 minutes 30% of the days.

c) The 38th percentile is of 3.8 minutes.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

For this problem, the bounds are given as follows:

a = 0, b = 10.

As shown in the graph at the end of the answer.

The probability of waiting more than 7 minutes is:

[tex]P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7[/tex]

Jayden waits more than 7 minutes 30% of the days.

The 38th percentile is x for which P(X < x) = 0.38, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

0.38 = x/10

x = 3.8.

The 38th percentile is of 3.8 minutes.

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solve -8n+4(1+5n)=-6n-14

Answers

the answer will be N=-1

Angle 2 is an____angle and is_____to angle 1.

Angle 5 is an____angle and is_____to angle 8.

Answers

Answer:

Angle 2: Acute, supplementary

Angle 5: Obtuse, congruent

Step-by-step explanation:

An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees. A supplementary angle is an angle equal to 180 degrees when added to another angle. (Angle 1 + angle 2 = 180 degrees.) Congruent angles are equal to each other in degrees. (Angle 5 = angle 8.)

Makayla is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and flips a coin?

Answers

The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-

So, there are are total 10 outcomes of flipping a coin

A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.

There is a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.

On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.

So there are two events flipping a coin and spinning a spinner.

possible outcomes are

(Head, Monday) (Tail , Monday) (Head, Tuesday) (Tail, Tuesday)

(Head, Wednesday) (Tail , Wednesday) (Head, Thursday) (Tail, Thursday)

(Head, Friday) (Tail, Friday)

So, there are are total 10 outcomes.

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Evaluate the expression if x = 6, y = 4, and z = 2: xy + z

Answers

The value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

What are expressions?

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

How to determine the value of the expression?

The expression is given as

xy + z

The values are given as

x = 6, y = 4, and z = 2

The expression can then be represented as

xy + z = 6 * 4 + 2

Evaluate the product

So, we have

xy + z = 24 + 2

Evaluate the sum

So, we have

xy + z = 26

Hence, the value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

Answers

7/5 is the cooreeect answer …

How to simplify it as a fraction?

Answers

0.7 bar can be expressed as 7/9 in fraction.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.

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A number which was tripled and added to 4, totals 40. What is the number?

Answers

Answer:

x=12

Step-by-step explanation:

Our equation: 3x + 4= 40

40-4=36. 36/3 = 12

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?.

Answers

Probability of having at least one boy and at least one girl is 0.75

There are two possibilities of a child, it could be a girl or a boy.

Since, the family plans to have 3 children.

∴ Total outcomes are = 2³

Total outcomes are = 8 outcomes

The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG

So, there are 8 possible outcomes.

Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)

Probability of having all girls i.e., GGG = 1/8

Probability of having all boys i.e., BBB = 1/8

P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)

= 1 - (2/8)

= 6/8

= 0.75

∴ P(at least one boy and at least one girl) = 0.75

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A high school decided to spend $ 750 on student academic achievement awards. At least 5 awards will be given, they should be equal in value, and each award should not be less than $ 50 . Write and sketch a function that models the relationship between the number a of awards and the cost c of each award. What are the domain and range of the function?
a. Which equation describes the relationship between a and c ?

Answers

Equation that describes the relationship between a and c is c = 750 / a

The domain of the function is - 5 ≤ a ≤ 50

The range of the function is - 50 ≤ c ≤ 150

Given,

Total money spent is = $750

Thus, our equation become,

ca = 750

solving for c,

c = 750 / a

The domain and range of function is -

a ≤ 5

Now, each award should be less than 50.

= 50 ≤ c

using equation, ac = 750

maximum value for a = 75.

we can say that domain is

5 ≤ a ≤ 50

Finally, by substituting a = 5 we can see that the maximum for c is 150.

This gives range for c as -

50 ≤ c ≤ 150

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How do we solve the formula for the indicated variable

Answers

Answer:

z = Fn +s.

Step-by-step explanation:

F = (z - s)/n

z - s = Fn

z = Fn +s.

PLUMBING Raven is deciding between two plumbing services. Service Provider A multiplies the average number of hours spent at a residence by $50, where the average number of hours spent at a residence is 1.5 hours for a new house and 3.75 hours for an old house. Service Provider B multiplies the exact number of hours spent at a residence by $60. Suppose Raven has a new house and needs a plumber for 1.75 hours. Find the cost of service charge using both methods.

Answers

The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.

The cost of service of each service provider

Service provider A:

Cost of plumbing service = $50

Average number of hours spent at a residence for a new house = 1.5 hours

Average number of hours spent at a residence for a old house = 3.75 hours

Service provider B:

Cost of plumbing service = $60

Since Raven has a new house

Cost of service charge using service A:

Cost of plumbing : average hours spent

50 : 1.5 = x : 1.75

50/1.5 = x/1.75

cross product

50 × 1.75 = 1.5 × x

87.5 = 1.5x

x = 87.5 / 1.5

x = $58.33

Cost of service charge using service B:

multiplies the exact number of hours spent at a residence by $60.

= 1.75 × 60

= $105