(b) Work out the value of 52 + 23

Answer:

karen will have enough for 14 people, and she will have 3 extra ducks left over

Step-by-step explanation:

divide 423 by 30

423/30 = 14

14 times 30 is 420, so subtract 420 from the total number of rubber ducks

423 - 420 = 3

so, karen will have enough for 14 people and 3 ducks will be left over !!

Answer:

Karen we'll have enough for 14 people and have 3 ducks left over.

Moving this barrel up a ramp required around 339.41 foot-pounds of labour from Alexa.

W = F.d

When the dot product is expanded, we get:

W=Fd cos(Ф)

We can plainly see from the given statement that:

applied force = F = 120 pounds

d = 4 feet for displacement.

F's angle with the horizontal is Ф = 45 degrees.

When the formula's values are substituted, we obtain:

W = 4 * 120 * cos (45)

W equals 339.41 foot pounds.

This indicates that lifting the barrel up this ramp required roughly 339.41 foot-pounds of labour from Alexa.

To know more about the work done by force, here

https://brainly.com/question/25816840

#SPJ4

The complete question is-

Alexa is pushing a construction barrel up a ramp 4 feet long into the back of a truck. She is using a force of 120 pounds in a horizontal direction and the ramp is 45 degrees from the horizontal. How much work is Alexa doing?

The equation will be d(x+2y) = $1.40,where x = cost of dimes , y = cost of nickels, t = number of dimes.

What is an equation?

In mathematics, equation represent two expressions are equal.

e.g. x + 2y = 3,

Here , x + 2y is one expression and 3 is another, which are equated using equal to symbol.

Let's us consider ,

Number of dimes = t

Then number of nickels = 2t

Cost of one dime = x

Cost of one nickel = y

Then the total cost = xt +2yt

And total cost given = $1.40

So, the final equation = t(x+2y) = 1.40

Learn more about equation from here:
https://brainly.com/question/7487915

#SPJ1

Answer: a₁₄=90x-31

Step-by-step explanation:

-x-5,  6x-7,  13x-9 ...

Hence,

a₁=-x-5

a₂=6x-7

a₃=13x-9

d=a₂-a₁

d=6x-7-(-x-5)

d=6x-7+x+5

d=7x-2

aₙ=a₁+d(n-1)

a₁₄=-x-5+(7x-2)(14-1)

a₁₄=-x-5+13(7x-2)

a₁₄=-x-5+91x-26

a₁₄=90x-31

The weighing of the balance scale required to find a lighter counterfeit coin among four coins, is twice.

In just two balance scale weighs, it is feasible to identify which of four coins is the lighter fake coin. Here is one approach:

Then, weigh the two groups against one another after splitting the four coins into two groups of two coins each. The lighter counterfeit currency must belong to the group that is lighter than the other if there are two groups. If the two groups of coins weigh the same, then one of the two remaining coins must be the lighter counterfeit coin.

Weigh the two coins from the lighter group (or the two still present, if the first step was unsuccessful) against one another.

To learn more about balance scale: https://brainly.com/question/20454395

#SPJ4

This study was conducted to test the effects of dietary supplementation of feed grade L - Met on growth performance.

Given :

based on this scatterplot , we observe that there are 6 groups of turkeys, each group receiving a different amount of methionine supplement (ranging from 0% to 44%).

Initial BW of birds did not differ among treatments. Weight gain of birds during 28 d feeding period increased ( P < 0.05 ) from 690 to 746 g ( an average of 0.33 % DL-Met and L-Met ) as dietary Met supplementation regardless of Met source increased from 0 to 0.33%. However, the source of Met did not affect the weight gain of birds.

learn more about the test here:

https://brainly.com/question/15870238

#SPJ4

The probability of the indicated event is  1/110.

P(2red, pink) = P(2red, pink)/P (pink)

There are a total of 1 ways to get 2 red and pink, for a total of 1 possible triples. P(2red and pink) = 1/220 P(pink) = Number of ways to get 1 pink = 1*11*10 Number of potential triples = 220 P(1 pink in 3) = 110/220 = 1/2 ———-

P(2red | pink) = (1/220)/(1/2) = 2/220 = 1/110 ————————————————

Cheers,

Stan H.

To determine the likelihood, apply the procedure below: Find an event with a single result in Step 1. 2. Determine the total number of possible results. Step 3: Subtract the number of fortunate occurrences from the total number of potential outcomes.

You can attempt to find the indicated probability using a variety of equations. The normal distribution model and the standard normal distribution are two techniques that you could choose to adopt since they are both frequently used to calculate suggested probability precisely.

To know more about Probability visit:-

brainly.com/question/11234923

#SPJ4

The solution of i^100 = 1 is [tex]i^{100} = 1[/tex] .

Simplify

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Power

In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.

Exponents

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

Rewrite [tex]i^{100}[/tex] as [tex](i^{4} )^{25}[/tex]

One to any power is one.

1

From the fact that [tex]i^{2}[/tex] = −1,

Then

([tex]-1^{50}[/tex]) = 1 as −1 raised to any even power is 1.

[tex]i^{100} = 1[/tex]

i^100 = 1

To learn more about Simplify and Power visit:

brainly.com/question/23002609

#SPJ4

The probability that the card will be a spade or a club 50%

Probability in math is referred as  how likely an event is to occur, or how likely it is that a proposition is true.

Here we have given that a card is drawn from a standard deck of 52 playing cards.

And we need to find  the probability that the card will be a spade or a club and we have to express your answer as a fraction or a decimal number rounded to four decimal places.

While we looking into the given question, we have identified the the total number of cards is 52.

And the number of spade cards = 13 and the number of club cards = 13

Therefore, the total number of spade and club cards

=> 13 + 13

=> 26

Therefore, the probability of getting a spade or  a club from a single draw is,

=> 26/52

When we simplified this one, then we get,

=> 0.5

When we convert this into percentage then we get

=> 50%.

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

A line's steepness can be determined by looking at its slope.Slope of the line is 15.

Determine the coordinates of two points along the line that you choose.Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run).

Slope of a line passing through two points (x1 ,y1)and will be given by,

Slope 'm' =y2 - y2/ x2- x1

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line = 35 -20/1-0= 15

In a similar manner, function 'g' passes through (0, 22) and (1, 37).

Slope of the line = 37 - 22/ 1-0 = 15

Therefore, m1 = m2

Since, slopes of both the lines are equal, lines will be parallel.

To learn about slopes refer

https://brainly.com/question/18029856

#SPJ4

The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

To learn more about average check the link below:

https://brainly.com/question/130657

#SPJ4

The correct option 1. the slope of Equation A is steeper because 4/5 is bigger than 2/5.

The format of a linear function is as follows:

y = ax + b

That where:

Given by: Linear equation A

y = 4/5 x.

Points (0, 2) and pass through linear equation B. (5, 4).

Given that changes in y divided by change in x determines the slope between two points, we have that:

m = (4 - 2)/(5 - 0)

m = 2/5

Equation A is steeper as it contains a higher slope, so the appropriate response is:

Due to the fact that 4/5 is greater than 2/5, Equation A has a steeper slope.

To know more about the slope of the line, here

https://brainly.com/question/16949303

#SPJ4

The complete question is-

Linear equation A: y=45x

Linear equation B is represented by this graph.

A line that passes through points (0, 2) and (5, 4).

Which statement is entirely correct?

2x^2 −3x +9=0 is the given equation that is quadratic.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.

Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."

As highest power of variable is 2 so the expression 2x^2 −3x +9=0 is quadratic.

To learn more about quadratic visit the link:

https://brainly.com/question/1214333

#SPJ4

Answer:

Step-by-step explanation:

By using the hypothesis test, to determine whether the mean of tickets is not equal to $125 is calculated as 58%.

We must compute the sample's z-score using the sample mean and standard deviation in order to determine the p-value for this hypothesis test. The z-score calculates how far the sample mean deviates from the population mean by standard deviations.

The difference between the two means is $5 if the population mean is $125 and the sample mean is $120. Given that the sample's standard deviation is $25,

z-score =  [tex]\frac{5}{25}[/tex] = 0.2.

We must utilize the z-score to hunt for the equivalent value in a typical normal table in order to determine the p-value. The chance of selecting a sample with a mean of $120 from a population with a mean of $125 is known as the p-value.

The probability that a sample with a z-score of 0.2 would be taken from a population with a mean of $125 is the p-value in this instance. When we look for 0.2 in a typical normal table, we discover that the p-value is roughly 0.58. As a result, 0.58 is the p-value for this hypothesis test. The probability that a sample with a mean of $120 would be taken from a population with a mean of $125 is therefore 58%.

To learn more about probability: https://brainly.com/question/13604758

#SPJ4

A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.

What does the term "quadratic function" mean?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.

                 The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

Learn more about quadratic function

brainly.com/question/27958964

#SPJ4

The first step is to draw a line longer than the given AB line.

An area or portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

A line can be extended on both ends forever while a line segment has endpoints.

Step 1: You are instructed to copy line segment AB.

Step 2: A line segment that is longer than line segment AB is drawn in step two. Identify C as one of its endpoints.

Step 3: Position the anchor on one endpoint of line segment AB and the pencil point on the other endpoint of the segment by opening your compass.

To learn more about line segment visit the link:

https://brainly.com/question/280216

#SPJ4

The ratio represents the number of votes for hot dogs to chicken is 2/5 ,

What is ratio?

Given,

Number of members voted for pizza = 6

Number of members voted for chicken = 10

Number of members voted for hot dogs = 20 - (10 +6) = 4

Now we have to determine the ratio represents the number of votes for hot dogs to chicken.

Number of members voted for hot dogs / Number of members voted for chicken = 4/10

= 2/5

Thus, the ratio represents the number of votes for hot dogs to chicken is 2/5.

To know more about ratio check the below link:

https://brainly.com/question/12024093

#SPJ1

Answer:

a. Point B

b. Point D

c. Point E

d. Point B

Step-by-step explanation:

See the attached image for a graphed solution with color-coded lines drawn.

Consequently, the function's average rate of change is -11.

A mathematical expression, rule, or law that describes the relationship between two independent variables and one dependent variable In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

The function is given by .

The ratio of the dependent variable's change to the independent variable's change is referred to as the rate of change.

f(x)=[tex]x^{2}[/tex]-6x+6

x ranges from -7 to 2, with 2 being the highest value.

=> f(-7) = 49 + 42 + 6 = 97.

=> f(2) =- 12 + 6+4 = -2.

The average rate of change is

f(-7)-f(2)/-7-2

=> 97-(-2)/-9

=> 99/-9

=> -11

Consequently, the function's average rate of change is -11.

To know more about function , visit

https://brainly.com/question/28744270

#SPJ1

Answer: Yes

Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.

In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.

In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.

The linear function that passes through (-8,4) and (4,5) will be y = (1/12)x + 14/3.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear equation or function is given as ;

y = mx + b

The slope (m) associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope associated with (-8,4) and (4,5) will be as,

m = (5 - 4)/(4 + 8) = 1/12

Thus, y = (1/12)x + b

Put (4,5)

5 = (1/12)4 + b

b = 5 - 1/3

b = 14/3

Thus, y = (1/12)x + 14/3

Hence "The linear function that passes through (-8,4) and (4,5) will be y = (1/12)x + 14/3".

For more about the linear function,

brainly.com/question/21107621

#SPJ1

Answer: c<4

Step-by-step explanation:

C fewer than 4 means that c is smaller than 4! So we use this mark <

So the answer is c<4

Answer:  c. [tex]\frac{1}{a}[/tex].

Step-by-step explanation:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12

10 = 14 - 4ax

Minus 14 on both sides.

-4 = -4ax

Divided -4 on both sides.

1 = ax

Divided a by both sides to solve x.

[tex]\frac{1}{a}[/tex] = x

Therefore, the answer is c.

Answer:

B and E

Step-by-step explanation:

100-65=35 so the number of days they didn't have homework was 35. 35/100 and 35% represent this.

By information provided in the question, we can say that It is the probability of a Type I error.

The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:

Probability (event) = positive outcome / overall outcome = x/n

It refers to the likelihood of a Type I mistake.

The likelihood that a Type I error will occur, or the likelihood that a null hypothesis will be rejected when it is true, determines the degree of significance.

To know more about probability visit:
https://brainly.com/question/11234923

#SPJ4

The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

At a gas station, Lora took 1/6 minute to fill 3/5 gallons of gas. And we know that the ratio will remain constant.

Let 'x' be the number of gallons. Then the amount of gallons in each minute is calculated as,

(3/5) / (1/6) = x / 1

Simplify the equation, then we have

(3/5) / (1/6) = x / 1

(3/5) × 6 = x

x = 18 / 5

x = 3.6 gallons

The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ12

The domain of the graph is {1, 2, 3, 4}

"All the values" that are input into a function are referred to as the domain of a function. The set of all potential inputs for a function is its domain.

Given:

As, we know domain of a function is the set of all possible inputs for the function.

from the Graph, we can find the coordinates ( 1, 10), (2, 20), (3, 40) and ( 4, 80)

So, the domain of the graph is {1, 2, 3, 4}

Learn more about Domain here:

https://brainly.com/question/28135761

#SPJ1

no value of x for f(x) ≤ g(x)

What do you mean by function?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

The types of functions can be roughly classified into four types. Based on item:

One-to-one functions, many-to-one functions, on functions, one-to-one, and within functions.

Given functions:

f(x)=-2(x+3)^2+5

g(x)=x+7

According to the graph given for the functions there is no value of x for which f(x) ≤ g(x) .

Therefore, no value of x for f(x) ≤ g(x)

To learn more about the functions from the given link.

https://brainly.com/question/22340031

#SPJ1