Which expression can be used to name the angle below?



∠AUE

∠U

∠A

∠UEA

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

0.5

Step-by-step explanation:

If 50% of £2 is £1

and 25% of £1 is 25p

we can workout that 25% of £2 is 0.5

The formula for the circumference of a circle is given by 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.

Circumference—does it indicate distance?

Definition. The circumference of a circle is the distance encircling its edge. The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge.

We can use this formula to solve for the radius by rearranging the equation:

r = C / (2 * pi)

where C is the circumference. Plugging in the given circumference of 36.91 meters:

r = 36.91 / (2 * 3.14)

r = 5.83 meters

Rounding to the nearest hundredth, the radius of the circle is approximately 5.83 meters.

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Answer: 15

Step-by-step explanation:

Distance, D = 5,760,000/2,160 = 2666.67 (approx)

The Excel DATE/TIME capabilities include the TIME Function. We can construct a time using distinct hour, minute, and second components with the aid of TIME.

We might want to date a report while performing financial analysis. In these circumstances, TIME can be used to transform a text string into a format that indicates the time in decimal form. Additionally, the function can be used to combine different values into a single time value.

formula= TIME (hour, minute, second)

distance = rate X time

D = RT

T = D/R

20 feet per second = 1200 feet per minute

16 feet per second = 960 feet per minute

[of minutes to flowerbed] + 14 minutes + [of minutes back to hive] = 19 minutes

(D/R) + 14 + (D/R) = 19

(D/R) + 14 + (D/R) = 19

(D/1200) + 14 + (D/960) = 19, This is the equation we can use to find the distance from the flowerbed to the​ hive.

(D/1200) + (D/960) = 5

(D(1200)(960))/1200 + (D(1200)(960))/960 = 5(1200)960

960D + 1200D = 5(1200)960

2,160D = 5,760,000

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The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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Answer:

Both models are exponential

A: $21,573.58

B: $21,589.58

Step-by-step explanation:

A

f(x) = 16,000\((1 + .03/4)^{4(10)}\)

f(x) = (16000)\(1.0075^{40}\)

f(x) = $21,573.58  Rounded to the nearest cent.

B

f(x) = 16000\((1+ .03/12)^{12(10)}\)

f(x) = (16000)\(1.0025^{120}\)

f(x) = $21,589.66 Rounded to the nearest cent

The wrong with following piece of mRNA, TACCAGGATCACTTTGCCA is that it contains T and not U. So, option(D) is right choice here.

Messenger RNA (mRNA) is present in DNA. DNA uses four bases in its code, adenine (A), guanine (G), cytosine (C) and thymine (T). RNA also uses four bases. However, instead of using "T" as DNA, it uses uracil (U). So, if your DNA sequence is 3' T C G T T C A G T 5', the mRNA sequence would be 5' A G C A A G U C A 3'. A strand of DNA is a template strand that has a nucleotide sequence on it that is read by RNA polymerases. Rna polymerase reads the template strand and encodes the m-RNA using the base-pairing rule. According to the rule, adenine pairs with thymine and guanosine with cytosine. So if the template DNA reads TAC GTT ACG, RNA polymerase will read it as AUG CAA UGC. Since no thymine is present in RNA, it will code for U instead of T.

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Answer:

D. 120

Step-by-step explanation:

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

details

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

brainliest now? ;)

Answer:

\(A=40+14t\)

\(J=70+8t\)

Amount of money Alexa and Joshua have saved in the week that they have the same amount of money saved is equal to $110.

Step-by-step explanation:

Initial amount as savings in account of Alexa = $40

Amount saved per week by Alexa = $14

Initial amount as savings in account of Joshua = $70

Amount saved per week by Joshua = $8

Amount saved by Alexa \(t\) weeks after the beginning of the year (A) = \(\$(40+14t)\)

\(A=40+14t\)

Amount saved by Joshua \(t\) weeks after the beginning of the year (J) = \(\$(70+8t)\)

\(J=70+8t\)

Now solve \(40+14t=70+8t\).

\(70-40=14t-8t\\30=6t\)

t = 5 years

\(A=40+14(5)=40+70=\$110\\J=70+8(5)=70+40=$110\)

Answer:

110 dollars

Step-by-step explanation:

First equation: 14t+40

Second equation: 8t+70

Then find the value of t.

Equation: 14t+40= 8t+70

t=5. Then substitute the value of t into the first equation to get your final answer.

The probability of the number of people who say auto racing is their favorite sport being more than 37 can be calculated using statistical methods.

This would require information on the total number of people surveyed, the number of people who said auto racing is their favorite sport, and other relevant data.

Depending on the specific scenario, the probability could be estimated or calculated exactly.

However, without this information, it is not possible to provide a specific answer to the question.

Therefore, it is important to have all relevant information and data before calculating probabilities or making any conclusions about the likelihood of an event occurring.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality \(k\) will relate the number of books bought \(N\) and their cost \(C\) in the following way:

\(C=k*N\)

So k is the price per book.

For the 12 books:

\(k=\frac{59.88}{12}\)

\(k=4.99\)

And for the 21 books:

\(k=\frac{104.79}{21}\)

\(k=4.99\)

The constant \(k\) for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

Answer:

The answer is going to be the letter d

The system of linear equations represented in the graph have one solution at (2, −1)

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

The graph (see attachment)

The graph represents two linear functions

The point of intersection of the linear functions represent the solution

In this case, the linear functions intersect at (2, −1)

Hence, it has one solution at (2, −1)

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Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer:

Step-by-step explanation:

Answer:

12x^2 -21x -6

Step-by-step explanation:

(3x-6)(4x+1)

FOIL

first 3x*4x= 12x^2

outer 3x*1 = 3x

inner -6*4x = -24x

last  -6*1 = -6

Add them together

12x^2 +3x -24x -6

Combine like terms

12x^2 -21x -6

Answer:   (a) Amplitude = 19

                 (b) Vertical Shift = 59

                 (c) Period = 24                

                  \(\bold{(d)\quad y=19\cos\bigg(\dfrac{\pi}{12}x\bigg)+59}\)

                 (e) The model = 50°,  the actual value = 52°

Step-by-step explanation:

The equation of a cosine function is: y = A cos (Bx - C) + D   where

(a) Amplitude (A) = (Max - Min)/2

                           = (77 - 40)/2

                           = 37/2

                           = 18.5  (I rounded it up to 19)

(b) Vertical Shift (aka Center) (D)= (Max + Min)/2

                                                     = (77 + 40)/2

                                                      = 117/2

                                                      = 58.5  (I rounded it up to 59)

(c) Period (P) = 24

    B = 2π/P

       = 2π/24

       = π/12

(d) There is no Phase Shift because the max is on the y-axis.

     A = 19, B = π/12, C = 0, D = 59

           ⇒ y = 19 cos(π/12)x + 59

(e) let x = -2     (-2 represents 10 am on the graph)      

    ⇒  y = 19 cos(π/12)(-2) + 59

             = 19 cos (-π/6) + 59

             = 19(-1/2) + 59

             = -9.5 + 59

             = 49.5

The model estimates the temperature at 10 am to be ≈ 50°

The actual temperature from the table is 52°

Step-by-step explanation:

Draw points at

(-1, -4)

(0, -2)

(1, 0)

(2, 2)

(3, 4)

Then draw a line through those points and that should do it.

This is the graph for the equation.

Answer:

5%

Step-by-step explanation:

Solving our equation

r = 75 / ( 750 × 2 ) = 0.05

r = 0.05

converting r decimal to a percentage

R = 0.05 * 100 = 5%/year

The interest rate required to

accumulate simple interest of $ 75.00

from a principal of $ 750.00

over 2 years is 5% per year.

Order for the given exponential numbers will be:

5.48 x \(10^{9}\)

3.24 x 10^{9}

1.2 x 10^{7}

8.34 x 10^{-2}

4.68 x 10^{-6}

What are the exponential functions?

A mathematical function called an exponential function is employed frequently in everyday life. It is primarily used to compute investments, model populations, find exponential decay or exponential growth, and so forth. You will discover the formulas, guidelines, characteristics, graphs, derivatives, exponential series, and examples of exponential functions in this article. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most frequently used exponential function base.

With the highest power in exponential function,

function will be more greater if the numbers multiplied by exponential function are in same order of decimal number.

In given Que,

numbers multiplied are all of 2 decimal number.

So, we can directly compare the values x in e^{x}

i.e. 9 > 7 > -2 > -6

for same value of x: compare value of number multiplied.

Hence, we found out the correct answer.
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The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Add the 3 republican amounts: 38 + 104 + 44 = 186

Divide by total people: 186/651 = 0.285714

Multiply by 100: 0.285714 x 100 = 28.5714%

Round to nearest tenth = 28.6%

Total of Same column: 104 + 87+90 = 281

Divide by total people: 281/651 = 0.431644

Multiply by 100: 0.431644 x 100 = 43.1644%

Round to nearest tenth = 43.2%

Republicans that said the same = 104

Total republicans = 38 + 104 + 44 = 186

Percentage = (104/186) x 100 = 55.9%

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.