scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.

Answer:

6

Step-by-step explanation:

The cardinal number of a finite set is the number of elements of the set.

cardinal number = 6

Answer:

1.3(2)^t

Step-by-step explanation:

1.3(2)^t

You start with 1.3 because that is your inital amount, then you multiply by 2 because it doubles, and your exponent will be t (the number of weeks)

The y-intercept of the trend line is equal to -23.08.

In order to determine a linear equation of the trend line that models the data points contained in the table, we would have to use an Excel regression calculator (scatter plot).

In this scenario, the teams’ number of runs would be plotted on the x-axis of the scatter plot while the teams’ number of wins would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.

From the scatter plot (see attachment) which models the relationship between data points in the table, a linear equation of the trend line is given by:

y = 0.15x - 23.08

In conclusion, a standard linear equation is given by:

y = mx + c

Where:

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Answer:

31.9 mi

Step-by-step explanation:

AC/sin(angleABC) = AB/sin(angleACB)

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

For more questions on Function .

https://brainly.com/question/11624077

#SPJ8

The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

Learn more about Standard Deviation and Mean here https://brainly.com/question/26941429

#SPJ4

Step-by-step explanation:

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

To know more about percentages,

brainly.com/question/26481419

brainly.com/question/21962158  

Answer:

Step-by-step explanation:

we just have to substitute 0 in place of x

1-(0)³, 0³ is still 0, so we're left with 1-0=1

mark me brainliest of it helped

Answer:

x = 132

Step-by-step explanation:

Angle S = 48   Angle T = 90   Angle W =

180 - 48 = 132

132 - 90 = 42

Angle W = 42

180 - 42 = 132

x = 132

Answer:

Tom sits in the middle and he is 18

Step-by-step explanation:

On the table you will first mark off Tom from being in the rear, as well as being 19

You will mark off Tom and Roy from the 1st, which places Davis as 1st, you also know that Tom is neither 1st nor last, so he is in the middle.

Now you see that Roy is neither in the 1st nor middle, so he is last.

Last is also the 20 yr old, so Roy is 20yrs and last seat.

Tom is neither 19 or 20.

So Tom is in the middle and 18yrs old

Answer:

155.3"^3

Step-by-step explanation:

the volume of a cone: 1/3 \(\pi\)r^2 h

the volume of a right circular cone will be

1/3 \(\pi\)(5.1)^2 * 11.4

310.60 for a full circular cone.

for a right circular cone, we use 90/180 of the volume.

= 155.3

The volume of the cone is 121.8 in³.

A cone is a 3-dimensional shape that consists of a flat circular base and a tip known as the vertex.

Volume of a cone = \(\frac{1}{3}\)πr²h

Where:

π = pi = 22/7

r = radius

h = height

Volume =  \(\frac{1}{3}\) x 22/7 x 5.1² x 11.4 = 121.8 in³

To round off to the nearest tenth, if the hundredth figure is greater or equal to 5, add to the tenth figure, if this is not the case, the tenth figure remains unchanged.

To learn more about how to determine the volume of a cone, please check: https://brainly.com/question/14273451

Answer:

y = 4x-7

Step-by-step explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line:  y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7

Answer:Step-by-step explanation:

x+46=90

x=90-46

x=44°

Answer:

<HED = 69 degrees

<EFG = 22 degrees

<FGE = 89 degrees

Step-by-step explanation:

Answer:

D=271

E=111

F=339

G=270

H=338

Step-by-step explanation:

D would be 360-89=271

E would be 180-69=111

To get F, we would need to find the other angles of the smaller triangle.

The angle near G looks like a 90-degree angle

Which means the angle near F would be 180-(69+90)= 21

This means that F would be 360-21=339

G would be 360-90=270

H would be 360-22=338

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15

The value of the car is solved by using the formula for depreciation which is  y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = original cost, = $24,000

r = rate of depreciation, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

Learn more about depreciation at:

https://brainly.com/question/27971176

#SPJ1

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

Answer: it’s selection bias

Step-by-step explanation:

The expression cos(a-b) is equivalent to cos(a)cos(b) + sin(a)sin(b), while the expression cos(a)cos(b) - sin(a)sin(b) is equivalent to cos(a+b).

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It focuses on the study of the properties of trigonometric functions such as sine, cosine, and tangent, which are used to calculate the angles and sides of triangles.

in the given question,

The expression cos(a-b) is equivalent to cos(a)cos(b) + sin(a)sin(b), while the expression cos(a)cos(b) - sin(a)sin(b) is equivalent to cos(a+b).

Therefore, we can rewrite the expression cos(a-b) as cos(a)cos(b) + sin(a)sin(b) and then compare it to the expression cos(a)cos(b) - sin(a)sin(b) by changing the sign of the second term in the first expression:

By comparing these two expressions, we can see that they are very similar, except that the sign of the second term is different. Specifically, we have:

So, we can say that the values of cos(a-b) and cos(a)cos(b) - sin(a)sin(b) are related by the sign of the sin(a)sin(b) term. If the sign is positive in the first expression, then it is negative in the second expression and vice versa.

To know more about trigonometry,visit:

https://brainly.com/question/26719838

#SPJ1

Answer:

Θ ≈ 103°

Step-by-step explanation:

using the Cosine rule in Δ ABC

cosB = \(\frac{a^2+c^2-b^2}{2ac}\)

where a is the side opposite ∠ A , b the side opposite ∠ B and c the side opposite ∠ C

here a = 42 , b = 78 and c = 57 , then

cos B = \(\frac{42^2+57^2-78^2}{2(42)(57)}\)

          = \(\frac{1764+3249-6084}{4788}\)

          = \(\frac{5013-6084}{4788}\)

         = \(\frac{-1071}{4788}\) , then

B = Θ = \(cos^{-1}\) ( - \(\frac{1071}{4788}\) ) ≈ 103° ( to the nearest degree )

Answer:

The set A = { 1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

Step(i):-

Given that the set

 { x/x/ is a natural number less than 10 }

Natural numbers :

The natural numbers are

          { 1,2,3,4,5,6,7,8,9,10,.........}

The set A =  { x/x/ is a natural number less than 10 }

The set A = { 1,2,3,4,5,6,7,8,9}

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

Read more about composite functions at

brainly.com/question/33401202

#SPJ1

The quadratic equation Dounfg can use to find the side length of each piece of wood is:

8s² - 200 = 0

A quadratic equation is an algebraic equation of the second degree in the given variable (e.g. x).

The quadratic equation in its standard form is ax² + bx + c = 0,

where a, b and c are constant

Each piece of wood has a side length of s centimeters. Thus, the area of each piece of wood will be:

s * s = s²

And the total area of all eight pieces of wood will be:

8 * s² = 8s²

Also, the total area of all eight pieces of wood is 200 square centimeters.  Thus, we have:

8s² = 200

8s² - 200 = 0

Learn more about quadratic equations on:

https://brainly.com/question/1214333

#SPJ1

Answer:

i think it's 1800

Step-by-step explanation:

if it's wrong i'm so sorry :)

The price charged for 630 square feet is $220.5

If a painter can paint 180 square feet per hour, the amount he will paint in 3.5 hours will be 3.5 * 180 = 630 square feet

If the painter charges $0.35 per square foot, the price for 630 square feet will be expressed as 0.35 * 630 = $220.5

Hence the price charge for 630 square feet is $220.5

learn more here: https://brainly.com/question/24191335

Answer:

5.19

Step-by-step explanation:

first do 28.86 / 6 to find out how much each paid. then subtract that number (4.81) from 10

Answer - Every Person should get $5.19

Step-by-step explanation:

what i did is 6 x 10 = 60 then 60 - 28.86 = 31.14 / 6 = 5.19 Your welcome.

Answer:

  8) a. Use center G and the same radius

  9) b. WX ≅ JK

Step-by-step explanation:

8) You want to know the next step in constructing a perpendicular bisector.

9) You want to know how WX relates to JK.

A perpendicular bisector of GH is the set of points equidistant from G and H. The arc shown is a set of points at some distance from H. We want to find two points on that arc that are the same distance from G, so the next step is ...

  a) Using G as a center, draw an arc with the same radius as the first arc

All of the points on the arc are the same distance from W as J is from K. Point X is a point on the arc, so WX will have the same length as JK.

  b) WX is congruent to JK

Answer:

1023/4

Step-by-step explanation:

shown in the picture

Answer:

64

Step-by-step explanation: