help a bro out Graph the rectangle after a 90° clockwise rotation about the origin.


Use the Segment tool to draw each side of the rectangle.

Answer:

1 meter = 100 cm

6 meters = 600 cm

600 x 3 = 1800 cm

Answer:

A ≈ 28.27

Step-by-step explanation:

Answer:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.

The measure of angle x and y are 55.8° and 34.2° respectively.

The figure in the image is a right triangle.

To solve for the missing angles, we use the trigonometric ratio.

Note:

Sine = opposite / hypotenuse

Cosine = Adjacent / hypotenuse

To solve for angle x:

sin( x ) = opposite / hypotenuse

sin( x ) = 14.8 / 17.9

Take the sine inverse

x = sin⁻¹( 14.8 / 17.9 )

x = 55.8°

To solve for angle y:

cos( y ) = adjacent / hypotenuse

cos( y ) = ( 14.8 / 17.9 )

Take the cosine inverse

y = cos⁻¹( 14.8 / 17.9 )

y = 34.2°

Therefore, the measure of angle y is 34.2 degrees.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

If you have put the bracket/parenthesis correct, then

4 - {-8}/8 + 5

=> 4 - (-1) + 5

=> 4 + 1 + 5

=> 5 + 5

=> 10

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

We conclude that the sequence is NEITHER geometrc nor arithmetic.

Step-by-step explanation:

Given the sequence

\(2,6,10,16,...\)

As we know that

An arithmetic sequence has a constant difference d and is defined by:

\(a_n=a_1+\left(n-1\right)d\)

Computing the differences between all adjacent terms:

\(6-2=4,\:\quad \:10-6=4,\:\quad \:16-10=6\)

The difference is not constant

Hence, the sequence is NOT arithmetic.

NOW, let's check whether is a geometric sequence or not

A geometric sequece has a constant common ration r and is defined by:

\(a_n=a_0\cdot r^{n-1}\)

Computing the common ratios between all adjacent terms:

\(\frac{6}{2}=3,\:\quad \frac{10}{6}=1.66666\dots ,\:\quad \frac{16}{10}=1.6\)

The ratio is not constant

Hence, the sequence is NOT geometric.

Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:

In this problem, there are 8 events, each with 2 possible outcomes, hence:

Hence, the total number of sequences is given by:

Hence, the total number of sequences is given by:

.

Learn more  about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ4

Answer:

b

Step-by-step explanation:

Infer from domain and range

Answer:

it has a broken line segment because it is only has greater than sign not greater than or equal to

Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4 which is function f of x.

Given that,

We have to find what are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity ÷ by the quantity x + 4 end quantity.

We know that,

If a rational function is defined as R(x)=p(x)/q(x), then the domain of the rational function is the intersection of domains of p(x) and q(x) except those values for which q(x)=0.

The given rational function is

f(x)=x²+6x+8/x+4

We need find the domain of the given function.

Here, both the numerator and the denominator are polynomial functions, and the range of a polynomial function is the entire real number range.

So, domain of the given function is all real number except those values of x for which x+4=0.

x+4=0

x=-4

Domain of f(x) = All real numbers except -4.

Domain of f(x) = (−∞, -4)∪(-4, ∞)

Therefore, Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4.

To learn more about domain visit: https://brainly.com/question/28135761

#SPJ4

answer:

below is a sample of the graph

step-by-step explanation:

The cost of renting a table per day is $30.

This can be shown by an equation of a line, where the price is our y-values and the number of days is our x-values(d) (c).

Specific points on that line correspond to the price for one day ($45) and the price for four days ($90).

1 and 45 are the points, and (4, 90).

We can start by determining the line's slope:

The days get longer by 3 as the price climbs by 45.

Slope = rise/run Slope = 45/3

Slope = 15.

By entering the slope and a point into the equation y = mx + b, we can now get the base price.

Calculate b:

y = mx + b

45 = 15(1) + b

45 = 15 + b

30 = b

30 is the base price (b).

To learn more about the equation of a line, refer:-

https://brainly.com/question/21511618

#SPJ4

Answer: 1.8 cubic cm

Step-by-step explanation:

The correct answer is 90%, because as the level of confidence decreases, the corresponding critical value of z (z-score) also decreases, resulting in a wider confidence interval. Option B is correct.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. The width of the confidence interval depends on several factors, including the sample size, the standard deviation of the population, and the level of confidence.

Assuming all other factors remain constant, decreasing the level of confidence from 99% to 90% would result in a lower critical value of z (z-score) and a wider confidence interval. This is because a lower level of confidence allows for a greater margin of error, meaning that we are willing to accept a wider range of values as being plausible for the true population parameter.

Conversely, increasing the level of confidence from 90% to 99% would result in a higher critical value of z and a narrower confidence interval, because a higher level of confidence requires a higher degree of precision and accuracy in estimating the true population parameter.

Hence, B. 90%, because as the level of confidence​ decreases, z Subscript czc decreases is the correct option.  

To know more about confidence interval here

https://brainly.com/question/24131141

#SPJ4

Using the Pythagorean theorem (a² + b² = c²) for a right triangle, we can solve for the missing side length a:
a² + 12² = (√146)²
a² + 144 = 146
a² = 2
a = √2
Exact length = √2
Approximate length (rounded to hundredths place) = 1.41
Therefore, the missing third side length a is approximately 1.41 units long.

In the right triangle with sides a, b, and c, if b = 12 and c = √146, you can use the Pythagorean theorem to find the missing side a.

The Pythagorean theorem states that a² + b² = c² in a right triangle.
Plug in the given values: a² + (12)² = (√146)²
a² + 144 = 146
Subtract 144 from both sides:
a² = 2
To find the exact length of a, take the square root of both sides:
a = √2
To find the approximate length of a (rounded to the hundredths place), calculate the square root of 2:
a ≈ 1.41
So, the exact length of the missing side a is √2, and the approximate length (rounded to the hundredths place) is 1.41.

To learn more about Pythagorean theorem click here :

brainly.com/question/14930619

#SPJ11

The set of vectors that form an

orthonormal basis

for R² is B. {[1,0]ᵀ,[0,1]ᵀ}.

To determine which of the sets of vectors form an orthonormal basis for R², we need to check if the vectors are orthogonal and have a length of 1. For set A, we can calculate the dot product of the two vectors and see that it is not equal to zero, so they are not orthogonal. For set C, the dot product of the two vectors is also not equal to zero, so they are not orthogonal. For set D, we can calculate the length of the vectors and see that they are not equal to 1, so they do not have a length of 1. Therefore, the only set of vectors that form an orthonormal basis for R² is set B, which consists of the standard basis

vectors

{[1,0]ᵀ,[0,1]ᵀ}.

To learn more about

vectors

brainly.com/question/24256726

#SPJ11

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

Learn more about yearly deposits

brainly.com/question/31681833

#SPJ11

We can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

To express the trigonometric expression cot(sin(1u)) cot(sin(1]) as an algebraic expression in u, we need to apply trigonometric identities and simplify it.

Let's start by using the identity cot(x) = 1/tan(x):

cot(sin(1u)) cot(sin(1]) = (1/tan(sin(1u))) (1/tan(sin(1]))

Next, we'll use the identity tan(x) = sin(x)/cos(x) to rewrite the tangents in terms of sine and cosine:

= (1/(sin(1u)/cos(1u))) (1/(sin(1)/cos(1]))

Simplifying further, we can multiply the reciprocals:

= (cos(1u)/sin(1u)) (cos(1)/sin(1))

Now, let's use the identity sin(2x) = 2sin(x)cos(x) to express the sines and cosines in terms of sine of half-angles:

= (cos(1u)/(2sin(1/2u)cos(1/2u))) (cos(1)/(2sin(1/2)cos(1/2)))

= (cos(1u)/2sin(1/2u)cos(1/2u)) (cos(1)/2sin(1/2)cos(1/2))

Since cos(x)cos(y) = (1/2)[cos(x+y)+cos(x-y)], we can use this identity to simplify the expression further:

= (cos(1u)/2sin(1/2u)(1/2)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

= (cos(1u)/4sin(1/2u)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

Now, we can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

Learn more about trigonometric here:

https://brainly.com/question/29156330

#SPJ11

The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.

To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.

So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.

To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.

Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1

To learn more about ratios:

https://brainly.com/question/12024093

#SPJ4

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

Learn more about the domain here:

https://brainly.com/question/28135761

#SPJ4

When using simple linear regression, we would like to use confidence intervals for the mean y-value and prediction intervals for the individual y-value at a given value of x.

A regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line is a line which best fits a set of data.

A confidence interval can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

In this context, we can infer and logically deduce that statisticians, mathematicians and researchers alike would use confidence intervals for the mean y-value and prediction intervals for the individual y-value at a given value of x, especially when using simple linear regression.

Read more on linear regression here: https://brainly.com/question/16793283

#SPJ4

The number 13 is very close to 11.511. Then the correct option is C.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50.

Let 'x' be the number of weeks. Then the equation is given as,

11.25x + 30 = 159.50

11.25x = 129.5

x = 11.511

The number 13 is very close to 11.511. Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

The formula for finding the volume of a pyramid with a triangular base is:

V = (1/3) * A * h

Where:

V represents the volume of the pyramid,

A represents the area of the triangular base, and

h represents the height of the pyramid.

To find the volume, we multiply the area of the triangular base by the height and then divide the result by 3.

To calculate the area of the triangular base (A), you can use different formulas depending on the available information about the triangle. Here are a few common scenarios:

1. If you know the base and height of the triangular base:

  A = (1/2) * base * height

2. If you know the lengths of all three sides (a, b, c) of the triangular base:

  You can use Heron's formula to find the area:

\(A = \sqrt{(s * (s - a) * (s - b) * (s - c))\)

  where s represents the semiperimeter of the triangle, given by s = (a + b + c)/2.

Once you have determined the area of the triangular base, you can substitute it into the volume formula along with the height of the pyramid to calculate the volume.

It's important to ensure that the base and height measurements are in the same unit of measurement for accurate calculations. Remember that the resulting volume will be expressed in cubic units, corresponding to the unit of length used for the base and height.

By using the formula V = (1/3) * A * h, you can calculate the volume of a pyramid with a triangular base, provided you have the necessary measurements.

To learn more about volume of a pyramid

https://brainly.com/question/16615922

#SPJ11

Answer:

110 Degrees and 80 Degrees.

Sorry no step by step in a hurry :)

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

To know more about positive changes visit:-

https://brainly.com/question/15411632

#SPJ11

Answer:

Vertex- (1,2)

Domain- (−∞,∞)

Range-  (−∞,2]

Step-by-step explanation:

Hope this helps :D

7/10 is the  probability that a room picked at random is neither on the ground floor nor has pink walls.

To find the probability that a room picked at random is neither on the ground floor nor has pink walls

we need to calculate the number of rooms that satisfy this condition and divide it by the total number of rooms in the building.

Number of rooms on the ground floor = 5

Number of rooms with pink walls = 3

Number of rooms on the ground floor and with pink walls = 2

Number of rooms that are neither on the ground floor nor have pink walls

= 20 - (5 + 3 - 2)

= 20 - 6

= 14

The probability that a room picked at random is neither on the ground floor nor has pink walls is:

Probability = Number of favorable outcomes / Total number of outcomes

= 14 / 20

= 7 / 10

Therefore, the probability is 7/10, which is already in its simplest form.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

The expression can also be used to calculate the number of pieces that can be cut from the board is \(\frac{5}{6} \cdot \frac{16}{5}\)

Step-by-step explanation:

Length of cardboard =\(\frac{5}{6} feet\)

Carpenter cuts board into pieces of equal length

Length of each piece =\(\frac{5}{16} feet\)

We are supposed to find  Which expression can also be used to calculate the number of pieces that can be cut from the board :

a) \(\frac{5}{6} \cdot \frac{16}{5}\)

b)\(\frac{5}{6} \cdot \frac{5}{16}\)

c) \(\frac{6}{5} \div \frac{5}{16}\)

d)c) \(\frac{6}{5} \div \frac{16}{5}\)

So, Number of pieces =\(\frac{5}{6} \div \frac{5}{16}\)

Number of pieces =\(\frac{5}{6} \cdot \frac{16}{5}\)

So, Option A is true

Hence The expression can also be used to calculate the number of pieces that can be cut from the board is \(\frac{5}{6} \cdot \frac{16}{5}\)

The slope of the graph above is \(-\frac{4}{3}\)

The slope of a line is the change in the dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Hence, using the coordinates on the graph let's find the slope of the graph.

(-2, 1)(1, -3)

Therefore,

x₁ = - 2

x₂ = 1

y₁ = 1

y₂ = - 3

Hence,

\(slope = \frac{-3-1}{1-(-2)}\)

\(slope = \frac{-4}{1+2}\)

\(slope = \frac{-4}{3}\)

Therefore, the slope of the line is \(-\frac{4}{3}\)

learn more on slope here: https://brainly.com/question/14548961

#SPJ1