Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

\(\frac{DE}{DG}\) = \(\frac{EF}{GF}\) , substitute values

\(\frac{25}{22.5}\) = \(\frac{x-9}{9}\) ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

Answer:

11.25

Step-by-step explanation:

Answer:

DB = 11.25cm

Step-by-step explanation:

We need to find the diagonal.

d² = 9² + 6.75²

d² = 81 + 45.5625

d² = 126.5625

d = 11.25

Best of Luck!

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

The equation represents the inequality will be y < −2x + 3.Option d is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

\(\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2\)

On putting the given origin value;

\(y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3\)

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

https://brainly.com/question/11897796

The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

On putting the given origin value;

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

brainly.com/question/11897796

Step-by-step explanation:

To identify a growth or decay, we need to figure out the parts of the equation.

Let's include a real-world situations as an example.

Amelia's car payment is $630 every month, and the cost increases by 6%. Let x represent the amount of months.

Given:

\(y = 630(1.06)^{x} \)

To solve for:

Solving:

Substitute 3 for x.

\(y = 630(1.06)^{3} \)

Include exponent:

\(y = 630(1.191016)\)

(Exact Amount)

Multiply:

\(y = 750\)

Approximately.

The equation is a growth since the value has increased.

Percentage rate?

The value in our parentheses determines our growth or decay.

We can easily determine it's a growth, but by how much?

Subtract 1 from 1.06.

\(1.06 - 1 = 0.06\)

There's a 6% growth.

Based on the given probability events, we can calculate that Events A and B are independent, because P(B) = P(B|A) = 1/2.

Events are independent if P(B) = P(B|A)

The probability of event B is:

= 3 odd numbers / 6 numbers

= 1 / 2

The probability of A is:

= 3 prime numers / 6

= 1/2

P(B|A) = ((1 / 2) x (1 / 2)) / (1 / 2)

= 1/2

So P(B) = P(B|A) = 1/2.

The events are independent.

Find out more on dependent events at https://brainly.com/question/16638457.

#SPJ1

we have the equation

the equation in slope-intercept form is

y=mx+b

so

Isolate the variable y in the given equation

step 1

subtract x both sides

step 2

Multiply by -3 both sides

Harry randomly called 913 phone numbers from the phone book without any specific reason or intention. The purpose of the experiment is unknown and the outcome is not mentioned.

The scenario presented is an example of a random experiment, where Harry called 913 phone numbers from the phone book without any particular objective or selection criteria. Random experiments are those where the outcomes are uncertain and unpredictable, and the experiment is repeated multiple times to observe the different results.

In this case, Harry repeated the experiment 913 times, which could have produced various outcomes such as wrong numbers, disconnected lines, voicemails, or even successful conversations.

The purpose of the experiment is not stated, but it could be a curiosity-driven activity to explore the randomness of the phone book, or a research project to collect data for some statistical analysis. However, without further context, the true reason remains unknown. Overall, the scenario is an example of a random experiment with no specific outcome or objective.

Learn more about Outcomes:

brainly.com/question/17238771

#SPJ11

The calculated length of the segment AD is 14

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

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

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

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

Read more about line segments at

https://brainly.com/question/24778489

#SPJ1

Answer:

She has 9 nickels, and 8 dimes.

Step-by-step explanation:

We know that she has a total of $1.25. We know that a nickel is $0.05, and that a dime is $0.10.

9x$0.05=$0.45

8x$0.10=$0.80

Answer:

9 nickels

8 dimes

Step-by-step explanation:

.05(n + 1) + .10n = 1.25

.05n + .05 + .10n = 1.25

.15n = 1.20

n = 1.2 / .15

n = 8

but there are 9 nickels because there is "one more nickel than dimes"

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

\(y=2x\)

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

\(1.25x+2.75y=20.25\\\)

Put the value of y in the above equation from the equation one as,

\(1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3\)

Thus the number of games he played is 3.

Put this value of x in the equation one as,

\(y=2\times3\\y=6\)

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer:

2/ c, e

Step-by-step explanation:

A graph can only be a function if one x only has one y.

If you use the line test, you see that only graphs C and E pass the test.

So, the answers are C and E.

It is desirable to take as large a sample as possible when trying to estimate a population value, as it leads to more reliable estimates and better inference.

The Rule for Sample Means states that as the sample size increases, the standard deviation of the frequency curve for the samples decreases. This means that the distribution of sample means becomes more tightly clustered around the population mean, which makes it more accurate in estimating the population value.

When we take a sample to estimate a population value, we are making an inference based on limited information. The sample mean is an estimate of the population mean, and the standard deviation of the sample means is a measure of the variability of the estimates.

By taking larger samples, we are reducing the variability in the estimates, which increases the precision and accuracy of our estimate.

Taking a larger sample reduces the impact of random variation and helps to better capture the true characteristics of the population. It also allows us to detect smaller differences between groups or populations.

To learn more about Rule for Sample Means click on,

https://brainly.com/question/31325440

#SPJ4

The largest palindrome made from the product of two 3-digit numbers is 906609.

To find the largest palindrome made from the product of two 3-digit numbers, we can start by considering all possible products of two 3-digit numbers, ranging from 100 to 999. We can then check if each product is a palindrome.

A palindrome is a number that reads the same forwards and backwards. We can iterate through the products in decreasing order and check if each product is a palindrome. If we find a palindrome, we compare it with the current largest palindrome found and update it if necessary.

Starting from 999 and iterating downwards, we multiply each number by all the 3-digit numbers below it. For example, we multiply 999 by 999, 998, 997, and so on. We continue this process until we find the largest palindrome.

After checking all possible products, we find that the largest palindrome made from the product of two 3-digit numbers is 906609. This palindrome is obtained by multiplying 993 by 913.

Therefore, the largest palindrome made from the product of two 3-digit numbers is 906609.

Learn more about palindrome here:

https://brainly.com/question/13556227

#SPJ11

The throw of the dice or the drawing of a card is known as random behavior.

Random behavior refers to events that occur by chance, without any predictability or pattern. These events cannot be influenced or controlled, and their outcomes are determined by the laws of probability. In games such as dice and card games, the outcomes are determined by random variables, such as the position of the dice or the shuffle of the deck.

Random behavior can also occur in other contexts, such as weather patterns or the stock market, where events are subject to unpredictable fluctuations. Understanding random behavior is important in many fields, including mathematics, statistics, and economics, as it can help us make informed decisions based on the probability of different outcomes.

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Answer: Circumference would be 17.72

Step-by-step explanation:

Formulas for area and circumference:

A=πr2

C=2πr

Which would look like this for your problem:

2·\(\sqrt{\pi*\\25}\)≈17.72454

Round up 17.72454 to 17.72

There's your answer, hope this helps

(a) The coordinates after Rotation of 270° counterclockwise are W(5, -1), X(5, -7), Y(2, -7) and Z(2, -1).

(b) The coordinates after translation: (x, y) =(x-7, y + 3) are W(-6, 8), X(0, 8), Y(0, 5) and Z(-6, 5).

What is Rotation and Translation of coordinates ?

A rotation is any movement within a specific space that keeps at least one point. A rigid body's motion around a fixed point is one example of what it can be used to explain.

Every point in a figure, shape, or space is moved by the same amount and in the same direction by a translation, which is a geometric transformation.

Since the Rotation of Rectangle is 270° counterclockwise, it will shift the rectangle from 1st Quadrant to 4th Quadrant with transition from (x, y) to   (y, -x).

So, the coordinates after rotation of 270° counterclockwise are :

W(1, 5) ⇒ W(5, -1)

X(7, 5) ⇒X(5, -7)

Y(7, 2) ⇒Y(2, -7)

Z(1, 2) ⇒Z(2, -1)

Similarly, The coordinates after translation of (x, y) ⇒ (x-7, y+3 )

W(1, 5) ⇒ W(1-7, 5+3) = W(-6, 8)

X(7, 5) ⇒X(7-7, 5+3) = X(0, 8)

Y(7, 2) ⇒Y(7-7, 2+3) =Y(0, 5)

Z(1, 2) ⇒Z(1-7, 2+3) = Z(-6, 5)

Learn more about Rotation and Translation of coordinates from the link given below :

https://brainly.com/question/1046778

#SPJ4

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:To divide 15a^6b^4 by 5a^2b, we can divide the coefficients and then divide the variables using the quotient rule of exponents, which states that when dividing two exponential terms with the same base, you can subtract the exponents.

So we have:

(15a^6b^4) / (5a^2b) = (15/5) * (a^6/a^2) * (b^4/b)

= 3a^(6-2)b^(4-1)

= 3a^4b^3

Therefore, the simplified result of dividing 15a^6b^4 by 5a^2b is 3a^4b^3

Step-by-step explanation:

The solution to the division is 3a⁴b³.

Given that we need to divide the expression (15a⁶b⁴) by (5a²b),

To divide the expression (15a⁶b⁴) by (5a²b), you need to apply the rules of division with variables and exponents.

Here's how you can simplify the expression:

When dividing with the same base, you subtract the exponents. In this case, the base is "a" and the exponents are 6 and 2.

Subtracting the exponents gives us a⁶ - a² = a⁶⁻² = a⁴.

Similarly, for the variable "b," the exponents are 4 and 1.

Subtracting the exponents gives us b⁴ - b¹ = b⁴⁻¹ = b³.

Now, let's simplify the coefficients. The coefficient 15 divided by 5 is 3.

Putting it all together, the expression (15a⁶b⁴) / (5a²b) simplifies to:

3a⁴b³

Hence the solution to the division is 3a⁴b³.

Learn more about division click;

https://brainly.com/question/2273245

#SPJ2

Answer:

option d.......................

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

\(x=-1,-7\)

Step-by-step explanation:

\(x^2+8x+7=0\) where a \(\neq\) 0 so a = 1 b = 8 c = 7

Quadratic Formula: \(x=-b\frac{\sqrt{b^2-4ac} }{2a}\)

\(x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}\)

\(x=-8\frac{\sqrt{64-28} }{2}\)     Evaluate the exponent and multiply 4ac

\(x=-8\frac{\sqrt{36} }{2}\)          Subtract b^2 - 4ac and multiply 2a

\(x=-8\frac{\sqrt{6} }{2}\)           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Answer:

2×2= 4

5×5= 25

6+5+5=16

10000000000+2= 10000000002

Step-by-step explanation:

Step-by-step explanation:

2×2 = 4

5×5 = 25

6+5+5 = 16

10000000000+2= 10000000002

Answer: 1 tablespoon

Step-by-step explanation:

The signal detection limit for thallium is approximately 16.39 dimensionless units. The concentration detection limit is approximately \(4.79 × 10^−9 M\). The lower limit of quantitation for thallium is approximately \(1.40 × 10^−9 M\).

The signal detection limit is the smallest signal that can be reliably distinguished from the background noise. To estimate the signal detection limit for thallium, we can use the mean reading of the blanks and the standard deviation of the blank measurements.

The mean reading of the blanks is given as 56.1. The standard deviation of the blank measurements can be calculated using the formula:

\(\[ \sigma = \sqrt{\frac{\sum(x_i - \bar{x})^2}{n-1}} \]\)

where \(\sigma\) is the standard deviation, \(x_i\) is the individual measurement, \(\bar{x}\) is the mean reading, and \(n\) is the number of blank measurements.

Given that there are ten blank measurements, we can calculate the standard deviation as follows:

\(\[ \sigma = \sqrt{\frac{(x_1 - \bar{x})^2 + (x_2 - \bar{x})^2 + \ldots + (x_{10} - \bar{x})^2}{9}} \]\)

Next, we multiply the standard deviation by a factor, typically three, to estimate the signal detection limit. In this case, let's assume a factor of three.

Signal detection limit = 3 × standard deviation

Learn more about signal detection limit

brainly.com/question/13752150

#SPJ11

Answer:

Step-by-step explanation:

Answer:

The Answer is 37

Step-by-step explanation:

Just do 1850/50 and then do 50*37 to confirm

Answer:

The slope of the line represented by y = 5x is 5

Step-by-step explanation:

The form of the linear function is y = m x + b, where

To find the slope of a line from its equation compare the equation with the form of the linear function, then find the coefficient of x which is the slope of the line

∵ The equation of the line is y = 5x

→ Compare it with the form of the equation above

∵ The coefficient of x = 5

∴ m = 5

∴ The slope of the line represented by y = 5x is 5

The probability that 45 or more people in this sample have consumed alcoholic beverages is 0.0516, or about 5.16 percent.

The probability that 45 or more people in a sample have consumed alcoholic beverages can be determined using normal distribution, as the sample size is sufficiently large. The distribution is also normal because of the large sample size. Using the normal distribution table or a calculator, the probability can be determined. The formula is:

P(X > 44.5) = 1 - P(X ≤ 44.5) = 1 - 0.9484 = 0.0516, approximately.

(Note: We use 44.5 because it is the midpoint of the interval 44.5 to 45.5, which is the one that includes 45.)

Therefore, the probability that 45 or more people in this sample have consumed alcoholic beverages is 0.0516, or about 5.16 percent.

To learn more about probability refer :

https://brainly.com/question/31197941

#SPJ11