If you were asked to estimate 11% of 40, which one of these choices is best practice from what was taught above in the videos and examples in the lesson:
Group of answer choices

I would multiply .11 times 40 and get my estimate.

I would round 11% up to 20%, and find 20% of 40 for my estimate.

I would round 11% to 10%, and find 10% of 40 for my estimate.

The linear function that relates your distance to the number of seconds is y = Sx, and the graph is attached below.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

The formula for distance covered is given by,

[tex]Distance = Speed \times time[/tex]

Assume the speed is constant,

D = S × t

Assume distance is in y direction and time is in x direction, the equation can be written as,

y = Sx

Suppose my speed of mine is 5 m / s and the speed of my friend's is 10 m/s then the function of distance for my friend,

Y = 10X

And for me

y = 5x

The graph of this is attached below, the red line in the graph is my distance equation and the green line is of my friend.

Therefore, the linear function that relates your distance to the number of seconds is y = Sx.

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The required conversion of the 15 cm/year is given as 0.5 inches per month.

Given that,
15 cm/year converted to inches per month is to be determind.

Conversion of the units is defined as the multiplying the original value with the unit factor.

Here,
1 cm = 0.4 inch
1 year = 12 month,
Substitute these values in the expression = 15 cm / year
= 15 × 0.4 / 12
= 0.5 inches per month.

Thus, the required conversion of the 15 cm/year is given as 0.5 inches per month.

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Answer:

It looks like you have an inequality equation with one variable, but the equation is incomplete. In order to solve the inequality, we need to have a complete equation with a left-hand side and a right-hand side.

For example, if we wanted to solve the inequality 8y - 5 < 3, we could complete the equation by adding 5 to both sides:

8y - 5 + 5 < 3 + 5

8y < 8

Then, we could divide both sides of the inequality by 8 to solve for y:

8y/8 < 8/8

y < 1

Therefore, the solution to the inequality 8y - 5 < 3 is y < 1.

Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

What is independent events?

Winning a hockey game and scoring a goal is dependent because if we score a goal then only we can win the game.

Hence, Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

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Answer:

33

Step-by-step explanation:

                                              Difference from

Day     Number of apples      previous day              

1           1                                   -

2          2                                  1

3          3                                  1  

4          5                                 2

5          7                                 2

6          9                                 2

7           12                               3

8           15                               3

9           18                               3

10          22                             4

11           26                             4

12         30                              4

13          35                             5

14          40                             5

15          45                             5

16          51                              6

17           57                            6

18           63                            6

19           70                            7

20          77                             7

21           84                            7

The differences between consecutive days started at 1, then 2, then 3, etc. The last day of any specific difference is a multiple of 3.

For example, day 3 was the last day of a difference of 1.

Day 6 was the last day of a difference of 2.

Day 9 was the last day of a difference of 3.

Day 12 was the last day of a difference of 4.

In each case, 6/2 = 3; 9/9 = 3; 12/4 = 3.

99 is a multiple of 3, so it will be the last day with a difference of 99/3 = 33

Answer: 33

Answer:

I belive it would be 102

Step-by-step explanation:

Answer:

306 cm

Step-by-step explanation:

the opposite side is the same as the shaded side

18 x 17 = 306 cm

Answer:

1/3

Step-by-step explanation:

rise/run is rate of change

3 of 7 in percentage with rounding is 42.86%

Percentage is a way of expressing a number as a fraction of 100. It is often used to express how much of something there is compared to the total amount.

For example, if you have 20 apples and the total number of apples is 100, you can express the fraction of the total number of apples you have as a percentage. That is 20/100 = 0.2, which is equal to 20%.

In order to write 3 of 7 as a percent, we can say:

3/7 × 100 = 42.86%

Thus, with rounding 3 of 7 is 42.86%

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Complete Question

3 of 7 percent with rounding  =  ___ %

Answer: 4ft/s

Step-by-step explanation:

I think

2 + 6 = 8

8 / 2 = 4

The given equation is a linear equation.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

g(x) = 1/3x - 6

We need to identify whether the given equation is Linear, Quadratic, Exponential, or None and why.

g(x) is the term that shows the rate of change with respect to x.

1/3 is the coefficient of the variable x

and the 6 is the constant term in the equation.

so, comparing the given equation with standard form of linear equation,

y = mx + c.

we can say here,

y = g(x)

m = 1/3,

c = 6

Hence, the given equation is a linear equation.

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Answer:

  82.4 mg/mm²

Step-by-step explanation:

You want to convert 8.24 g/cm² to units of mg/mm².

Multiply by the conversion factors that cancel the unwanted units, leaving the wanted units.

  [tex]\dfrac{8.24\text{ g}}{\text{cm}^2}=\dfrac{8.24\text{ g}}{\text{cm}^2}\cdot\dfrac{1000\text{ mg}}{\text{g}}\cdot\left(\dfrac{1\text{ cm}}{10\text{ mm}}\right)^2=\dfrac{8.24\cdot1000\text{ mg}}{100\text{ mm}^2}\\\\=\boxed{82.4\text{ mg/mm$^2$}}[/tex]

The u(1, 1, 2), v(2, 3, 1), and w(4, 5, 5) supplied vectors are linearly dependent.

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given information in the question,

The given vectors are:

u = (1, 1, 2)

v = (2, 3, 1) and,

w = (4, 5, 5)

If there are three scalars that are not all zero and that are dependent on a set of vectors (u, v, and w), they have been shown to be linearly dependent.

au + bv + cw = 0

⇒ a(1, 1, 2) + b(2, 3, 1) + c(4, 5, 5) = (0, 0, 0)

⇒ (a + 2b + 4c, a + 3b + 5c, 2a+ b + 5c) = (0, 0, 0)

So,

a + 2b + 4c = 0    (i)

a + 3b + 5c = 0    (ii)

2a+ b + 5c = 0     (iii)

From equation (i) and (ii)

b = -c

From equation (i)

a - 2c + 4c = 0

⇒ a = -2c

Let's assume that c = 1

So,

a = -2 and,

b = -1

Then, from the obtained values,

-2u - v + w = 0

As a result, there is a set of non-zero values for a, b, and c such that:

au + bv + cw = 0

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Answer:

Triangle perimeter = 12 + x + (x - 4) = 26 which is the equation you can use to find out the value of x.

Step-by-step explanation:

Answer:  [C]:  " 46 units ."
______

Step-by-step explanation:

The question (and corresponding image) asks:
 " If B is the midpoint of AC, find the length of AC. "

Note:  
    The midpoint refers to the point in the middle of the line [segment].

In this particular question:
⇒ The line segment; AC  is divided into 2 (two) equal segments of the same length:
  AB = (x + 13) ;  and:

  BC = (2x + 3) ;  {as per 'posted image'} ;
We  are asked to find the length of AC.

[length of AB] + [length of BC] = [length of AC].

            (x + 13) +  (2x + 3)  = [length of AC; for which we solve] :

We shall solving for x ; & then plug in the value to solve.
Note:
   [length of AB] =  [length of BC] ;  Plug in our known values:
⇒ that is;  (x + 13) = (2x + 3) ;

So, we have:  " x + 13  = 2x + 3 "

_____________________

 " x  +  13  =    2x  +  3    "  ;

− x   −  3   =   − x   −  3   "   ;

_____________________
  0  +   10  =     x   +  0 ;

  →  "  10 = x  " ;

       ↔  {Note: According to the "symmetric property" algebra:
                "a = b " ; then " b = a"};

  →  " x = 10 " ; {according to the "symmetric property of alm
__________________
Another method:
 When we have:
 " x  +  13  =   2x  +  3  " ;

→ Subtract each side of the equation by x ; & subtract each side of the equation by 3 ;  

to isolate x on one side of the equation —
  [in this case, the 'right-hand' side of the equation];

and to solve for x ; as follows:
  " x  +  13  =  2x + 3 ";

Now; for each side of the question—on a separate 'left-hand' side; and: on a separate 'right-hand' side basis; we can combine the 'like terms' and simply:
 For the left-hand side:
   "  x  +  13  − x − 3 " : Combine the 'like terms":
   + x −  x  =  0 ;  [that is: " +1x − 1x = 0"];
  + 13 − 3 = + 10 ;  We have:  " 0 + 10 = + 10 ".    

Now, For the right-hand side:
  " 2x  +  3  − x − 3 " :  Combine the 'like terms'; as follows:

     " + 2x  − x  = x " ; {that is:  " +2x − 1x = 1x = x "} ;

     " + 3  − 3  " =  0 " .   " x + 0 = x "    

        So: [left-hand side = right-hand side] ;

             →    10 =  x ;  ↔ " x = 10 ."

Both methods result in the same value for x ; that is:  x = 10 ; which happens to suggest credibility.

Now, to find the length of AC ; which equals:
 →   " x + 13 + 2x + 3 " ;
Then, we plug in our calculated value; 10 —for the values of x ;
 and solve!

→  " 10 + 13 + (2*10) + 3 "  =  " 10 + 13 + 20 + 3 "  =  " 46 units ".

⇒ which corresponds to the correct answer:  [C]:  " 46 units."

_______
Hope this answer with explanation is helpful.

 Best wishes!
_______

The standard deviation of the team members' heights is 2.35.

A z-score is a number that indicates how far an observation deviates from the mean and in which direction.

A z-score is a common name for a standardized number.

The standardized value of x is: If x is an observation from a distribution with known mean and standard deviation :

z = (x - mean) / Standard Deviation

Given in question,

z = -0.85

x = 74

mean = 76

Let the Standard deviation be s.

By putting the values in the equation,

-0.85 = (74 - 76)/s

s = -2/-0.85

  = 2/0.85

  = 2.35

Hence, the standard deviation of the team members' heights is 2.35.

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Answer:

around 8,000 or 100,000 is the answer

A line chart is the best chart to show trends over time. It shows trends and data variables clearly.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

We can deduce that a line chart is the best chart to show trends over time as it shows trends and data variables clearly and also assists readers with making predictions for the future. However, for a data set comparison being useful, you must use the same scale on both axes.

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A. y = - (4/3)x + 4.

y = - (4/3)x - 1.

No solution.

B. y = 4x - 5.

y = - 2x + 7.

one solution.

C. 2x + 3y = 8

4x + 6y = 17.

No solution.

D. y = 5x - 15.

y = 5(x - 3).

Infinitely many solutions.

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

We'll graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.

y = - (4/3)x + 4.

y = - (4/3)x - 1.

These are parallel lines no solution.

y = 4x - 5.

y = - 2x + 7.

These lines intersect at (2, 3) one solution.

2x + 3y = 8

4x + 6y = 17.

They are parallel to each other.

y = 5x - 15.

y = 5(x - 3).

These are coinciding lines if we distribute the terms hence infinitely many solutions.

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0.65  is the probability that the chosen student eats neither fish nor eggs.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.                  

                                      The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

We know that there is sample of 275 MHS Students

20 are vegetarians

      9 eat both fish and eggs

      3 eat eggs but not fish

      8 eat neither

Total 20

In a table

           FISH FISHc TOTAL

EGGS     9        3       12

EGGSc   1         7        8

TOTAL    10       10      20

P(F U E) = 9 + 3 + 1 / 20 = 13/20 = 0.65

Or

P(F U E) = 10/20 + 12/20 -9/20 = 13/20 = 0.65

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(x+x/2)*3=105 is the equation for "three times the sum of a number and half the number equals 105."

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. 4 + 6 = 10 is an example of an equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Three more than twice the sum of a number and half the number equals 105,

The equation will be,

(x+x/2)*3=105

The equation for "Three more than twice the sum of a number and half the number equals 105" will be (x+x/2)*3=105.

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Answer:

V = 5πX^2 + 50πX + 75π

Step-by-step explanation:

The volume of a cylinder with radius r and height h is given by the formula:

V = πr^2h

Substituting the values for the radius and height of the cylinder in this formula, we get:

V = π(5X + 5)^2(5X + 3)

This can be written in standard form as:

V = 5πX^2 + 50πX + 75π

So, the polynomial in standard form that best describes the total volume of the cylinder is:

V = 5πX^2 + 50πX + 75π

Answer:17cm x 19cm

Step-by-step explanation:

Answer: length is 19 inches  

               width is 17 inches

Step-by-step explanation:

Let the length and the width are x>0 and (x+2)>0

Hence,

x(x+2)=323

x²+2x=323

x²+2x-323=0

x²+(19x-17x)-323=0

(x²+19x)-(17x+323)=0

x(x+19)-17(x+19)=0

(x+19(x-7)=0

x+19=0

x=-19∉ (x>0)

x-17=0

x=17 inches

x+2=17+2

x+2=19 inches

(2, 1,985.5) is not a solution of the equation y = 2200(0.95)x.

What is solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Consider, the given equation

y = 2200(0.95)x

And the point given is, (2, 1985.5).

From this x = 2, y = 1985.5

Plug x = 2 in the above equation,

y = 2200(0.95)(2)

y = 4180 ≠ 1985.5

Hence, the given point (2, 1985.5) is not a solution to the equation

y = 2200(0.95)x.

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He utilized about 39.9 KG of clay per pot, or 38% of the 315 KG of clay, using 119.7 KG for 3 pots.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value indicating hundredth parts of any quantity, is a relative value that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Here,

Weight of clay=315 KG

Weight of clay he used,

=38%*315

=119.7 KG

Number of pots=3

Clay used in each pot,

=119.7/3

=39.9 KG

He used around 39.9 KG of clay to make each pot using 119.7 KG of clay for  3 pots out of 38% of 315 KG of clay.

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The  distance between the shortstop and the pitcher calculated as per the given data is 63.6.

Distance between two consecutive bases = 90 feet

Halfway distance between them will be = 45 feets

therefore, halfway distance between first base and second base = 45 feet

and that between second base and third base = 45 feet

So the distance between the  shortstop and the pitcher using pythagoras theorem

= >SP² = PQ² + QS²

           = 45²  + 45²

            =4050

SP = 63.6

Therefore , the required distance is 63.36feets.

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle

In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. We can derive the base, perpendicular, and hypotenuse formulas using this theorem.

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Answer:

Step-by-step explanation:

1)Option A)

2)Option B)

Answer:

Step-by-step explanation:

Answer:

all the above

Step-by-step explanation:

examples of undefined term are point line and plane

The Function value of f(-2) is -4

What are Function?

Exactly each element of Y is assigned to each element of X in a mathematical function from the a set X to a set Y. Both the set X as well as the set Y are referred to as the function's domain and codomain, respectively. Al-Biruni as well as Sharaf al-Din al-Tusi were two Persian mathematicians who are credited with developing the earliest known method for approaching the concept of function. The original conception of functions was the relationship between varying quantities and other variables. An illustration of this is how time affects a planet's position. The idea was developed historically at the conclusion of the 17th century with the development of infinitesimal calculus, and up to until nineteenth century, the functions taken into consideration were differentiable.

Solution:

Given: f(x) = 3x + 2

To find: Value of f(-2)

To solve this problem we will simply replace the value of x in Function with -2

f(-2) = 3*(-2) + 2

f(-2) = -6 + 2

f(-2) = -4

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The weighted arithmetic mean price per ton is $72.33

Given that, a purchasing agent placed the three orders for coal. tons of coal 1,200 3,000 500 price per ton $28.50, $87.25 and $88.00, we need to find the weighted arithmetic mean price per ton,

So, the mean = 28.50x1200+87.25x3000+88x500 / 1200+3000+500

= 339950 / 4700 = 72.33

Hence, the arithmetic mean price per ton is $72.33

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