what is the rectangular cross hatch chart used for eye test called

Answer:

No, all of her work is correct.

Step-by-step explanation:

Answer:

No, all of her work is correct.

Step-by-step explanation:

All of her work is correct.

The first step is showing factorization of √50

The second step is simplifying the factorization

The third step is simplifying the entire radical.

When you take a square root of a square, they cancel out, so:

√5² = 5

We multiply it with our leftover √2 and we get:

5√2

Answer:

$160

Step-by-step explanation:

28 bags cost $140

4 bags will serve 5 guests

Number of bags that will serve 40 guests:

(40 /5) * 4bags

8 * 4 bags = 32 bags of candy

A bag of candy will cost :

$140 / 28 = $5

Cost of 32 bags :

Cost per bag * 32

$5 * 32 = $160

The graph of the quadratic function is on the image at the end.

Here we have the quadratic function:

f(x) = (x + 1)*(x - 5)

To graph this, we need to find some points of the parabola and then connect them.

So let's evaluate the function.

if x = -1

f(-1) = (-1 + 1)*(-1 - 5) = 0

if x = 0

f(0) =  (0 + 1)*(0 - 5) = -5

if x = 1

f(1) =  (1 + 1)*(1 - 5) = 2*-4 = -8

if x = 5 then:

f(5) =   (5 + 1)*(5 - 5) = 0

So we have the points (-1, 0), (0, -5), (1, -8) and (5, 0).

With these we can graph the parabola (you can try to find more points to get a better graph).

Learn more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

the formula of the triangle to 1/2×(base ×height)

Step-by-step explanation:

subsitude the values into the formula i gave you. you should be able to get the answer.

Using the Newton-Raphson method with an initial guess of x₀ = 1.55, the root of the equation ln(x-1) + cos(x-1) = 0 in the interval [1, 2] can be approximated to an absolute error less than 10^(-12). The final result, obtained after performing the iterations, will provide the approximate value of the root.

To approximate the root of the equation ln(x-1) + cos(x-1) = 0 in the interval [1, 2] with an absolute error less than 10^(-12), we can use the Newton-Raphson method. Let's denote the function as f(x) = ln(x-1) + cos(x-1), and its derivative as f'(x).

1. First, we need to find an initial guess for the root within the interval. By observing the function graph or using trial and error, we can estimate that the root lies approximately between 1.5 and 1.6. Let's choose x₀ = 1.55 as our initial guess.

2. Now, we can iterate using the Newton-Raphson method until we achieve the desired accuracy. The iteration formula is given by:

xᵢ₊₁ = xᵢ - f(xᵢ) / f'(xᵢ)

3. Calculate the derivative f'(x) as follows:

f'(x) = 1/(x-1) - sin(x-1)

4. Repeat the iteration until the absolute difference between two consecutive approximations, |xᵢ₊₁ - xᵢ|, is less than 10^(-12).

Using the Newton-Raphson method with the initial guess x₀ = 1.55, the following iterative steps can be taken:

Iteration 1:

x₁ = x₀ - f(x₀) / f'(x₀)

Continue these iterations until the desired accuracy is achieved.

After performing the iterations, the root approximation obtained within the desired absolute error will be the final value of x.

To know more about Newton-Raphson refer here:

https://brainly.com/question/31618240#

#SPJ11

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

The value of x if a, b, and c are collinear points and b is between a and c : 7

Collinear points are those that are situated on the same line of sight or within a single line. In Euclidean geometry, two or more points are said to be collinear if they are located on a line either close to or far from one another.

According to the given information:

if A, B, and C are col-linear points and B is between A and C

then

AB+BC=AC

AB=x+6

BC=3x-5

AC=36-x

(x+6)+(3x-5)=36-x

(x+3x)+(6-5)=36-x

4x+1=36-x

4x+x=36-1

5x=35

x=35/5

x=7

The value of x is 7

To know more about collinear points visit:

https://brainly.com/question/1593959

#SPJ4

Answer:

The line that can be drawn through points D and E is contained in plane Y.

Step-by-step explanation:

Let's just go through all of these answer choices.

The first one says that "The line that can be drawn through points C and D is contained in plane Y." Is this true? If we drew a line connecting points C and D, it looks like it would cross through both planes X and Y, so it cannot be contained in only plane Y. This is false.

The second one says that "The line that can be drawn through points D and E is contained in plane Y." If we imagine a straight line going from point D to point E, it looks like it's just a line in plane Y; so this can be contained in plane Y. This seems true.

The third one says that "The only point that can lie in plane X is point F." This is false because plane X has a ton of points, but point F is just the only one that's labeled. This is false

The fourth one is similar, and says that "The only points that can lie in plane Y are points D and E." Again, this is false because points D and E just happen to be the only two labeled points, but there are infinitely many points on plane Y; points D and E are not all of them.

The second answer choice is true.

Please mark as Brainliest! :)

Answer:

B. -3.5; the rate at which Rachel's distance is changing per hour.

Step-by-step explanation:

Slope is a rate of change, which is what B is

Answer:

a. y-intercept: 5

b. m = 1.75

c.  8 rides

Step-by-step explanation:

The equation is y= mx + b

m = the slope

b = y-intercept

Our equation is f(r) = 5 + 1.75r

a. y-intercept is 5

b. m = 1.75

c. We put 19 in to solve

19 = 5 + 1.75r

14 = 1.75r

r = 8

So, AI ride 8 rides

Francesca salary in the first year is $169684.14

Let us assume that P be the first salary of Francesca.

The salary increases by 2% every year.

Let A be the amount she earns after n years at a rate of r.

Using the formula for the compound interest is:

A = P (1 + r)ⁿ

Here, A = $187345

n = 5 years

R = 2%

So, r = 0.02

We need to find the value of P

substituting these values in above equation we get,

187345 = P (1.02)⁵

187345 = 1.10408 × P

P = $169684.14

Therefore,her salary in the first year is $169684.14

Learn more about equation here:

https://brainly.com/question/28243079

#SPJ4

The complete question is:

Each year, Francesca earns a salary that is 2 percent higher than her previous year's salary. In her first 5 years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?

The 21st term in the following arithmetic sequence: -1, -3, -5, -7, ... is -41

What is Arithmetic Series?

The total of an arithmetic sequence's terms is an arithmetic series. The total of a geometric sequence's terms is a geometric series. Other series exist, but you won't likely use them much until you're a calculus student. You'll most likely be working with these two for the time being. This article provides instructions and examples for using arithmetic series. The total of a sequence of terms, a k, where k=1, 2,..., is an arithmetic series. Each term is calculated from the preceding one by adding (or removing) a constant d. Because of this, when k>1, a k=a (k-1)+d=a (k-2)+2d=...=a 1+d (k-1).

Here, In the given question, we have:

-1, -3, -5, -7, ......

Here,

the first term (a) = -1;

the common difference(d) = -3-(-1) = -3+1 = -2;

So, we can use the formula for the nth term of an arithmetic series aa:

\(a_{n} = a+(n-1)d\)

\(a_{21} = a +(21-1)d\)

\(a_{21} = -1 +(21-1)(-2)\)

\(a_{21} = -1+20(-2)\)

\(a_{21} = -1-40\)

\(a_{21} = -41\)

Hence, the 21st term in the following arithmetic sequence :-1, -3, -5, -7, ... is -41.

To learn more about arithmetic sequences, visit:

https://brainly.com/question/26115620

#SPJ13

Answer:

The first step is to use the distributive property

Step-by-step explanation:

The first step is to use the distributive property so it is 20 + 3 x 18 (-x)

then Multiply 3 by 18

20 + 54 +3 (-x)

then Multiply -1 by 3

20 + 54 - 3x

Then Add 20 and 54

74 - 3x

The group that would best represent the sample population is; D: Every fifth person walking down the street in several different locations..

A sample population is simply a subset of the main population. Now, in this question we see that a poll is being taken on Wednesday to predict which movie will be the most popular at the city’s movie theaters the next weekend.

Now, since we are looking for sample population, the one that will best represent it will be Option D. This is because - Different locations through out the city at Different time has maximum randomness.

Read more about Sample Population at; https://brainly.com/question/7301139

Answer:

V = (5 feet) (2 feet) (2 feet) V = 20 cubic feet To convert the volume into gallons, multiply the above answer by 7.48 since there are 7.48 gallons of water in one cubic foot. This will give us an answer of 150 gallons of water.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Mrs. Lincoln has 15 girls and 10 boys in her homeroom. She randomly selects two students. The total number of students is 25.

The probability of choosing one girl is:

15 / 25 = 3 / 5

Now, 24 students are left.

The probability of choosing one boy is:

10 / 24 = 5 / 12

Therefore, the probability of choosing one girl and one boy is:

3 / 5 * 5 / 12

= 3 / 12

= 1/4

Factors related to cause and effect is not one of the things the relative frequency (Rf) of z-scores allows us to calculate for corresponding raw scores. The correct answer is a) Factors related to cause and effect.

The relative frequency (Rf) of z-scores is a statistical tool that calculates the probability of obtaining a certain raw score or a score more extreme than that. It allows for inferences to be made about the population from which the sample was drawn and for comparisons to be made between variables. However, Rf does not provide information on factors related to cause and effect, as it cannot establish cause-and-effect relationships between variables. It is useful in analyzing data in the context of a normal distribution and calculating the frequency of occurrence of certain scores in a given population. Therefore the correct answer is a) Factors related to cause and effect.

Learn more about relative frequency (Rf) :

https://brainly.com/question/29267583

#SPJ11

Answer:

-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the sum of all exterior angles in a polygon is 360°, we have to divide 360 by 6 to find the number of sides.

360/6 = 60.

So, the polygon has 60 sides.

Hope this helps! (:

Answer:

14

Step-by-step explanation:

because it is a small angle that will indooor more sides

Answer:

A flat surface is not a characteristic point if I'm wrong sorry you should list the following.

Step-by-step explanation:

The data structures are true:  Option (1,3)

Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.

For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development

Learn more about data structures

https://brainly.com/question/12963740

#SPJ4

Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.

Answer:

2x + 3y + k = 0

2(-2) + 3( 1/3) +k = 0

-4 + 1 +k = 0

k = 3

A manufacturing plant has two assembly lines for producing glass bottles. The manager

was concerned about whether the proportion of defective bottles differs between the two

assembly lines. She gathered two independent samples and found the following data:

n 1 =100, ^p 1 =.1,n 2 =100, ^p 2 =.13.

(a) Set up the appropriate null and alternative hypotheses.

(b) Compute the value of the test statistic.

(c) Draw a conclusion as to whether there is a difference between the two assembly lines

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To know more about probability refer here :

https://brainly.com/question/11234923#

#SPJ11

Answer:

Step-by-step explanation:

Other correct expressions:

t = r/s

s = r/t

------------------

Choices

1)  t = s/r   No

2) t = rs     No

3)  s =r/t    Yes

4)  s = rt    No

The equation that is equivalent to the given equation is \(s = r/t\) and this can be determined by using the arithmetic operations.

Given :

Equation is \((r = st)\).

The following steps can be used in order to determine the equation that is equivalent to the given equation:

Step 1 - Write the given equation.

\(r = st\)    --- (1)

Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.

Step 3 - Now, divide 't' on both sides in the equation (1).

\(\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s\)  

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11897796