Which number is not prime A.29 B.99 c.71 d.3

this is the answer: -5 < -12/40 < 19/38

Answer:

2.7 hours or 2 hrs, 42 min

Step-by-step explanation:

to find the total number of sentences remaining we can multiply 130 sentences times 20 pages remaining to get

2,600 sentences

if we divide that number by 16 we'll get the number of minutes he needs to finish the novel

2600/16 = 162.5 minutes which, when divided by 60, is 2 7/10 hours

7/10 = 42/60 so it comes out to 2.7 hours or 2 hrs, 42 min

Answer:

C

Step-by-step explanation:

Remember when using the inequality sign < or > the line will be dotted so we can immediately eliminate answer choices b and d

Now let us solve for y

6x-2y>-11

step 1 subtract each side by 6x

now we have

-2y>-11-6x

step 2 divide each side by -2

-11-/2=11/2

-6/-2=3

IMPORTANT -when you divide inequalities by a negative number you flip the inequality sign

So now we have

\(y<3x+\frac{11}{2}\)

See image below for reference

When the inequality is facing x the solutions are going to be on top of the line

hope this helps!

Answer:

its D

Step-by-step explanation:

on khan academy

20 x 1/10 have salads = 2 students

and

20 x 2/5 have sandwiches = 8 students

so 10 students are eating lunches other than salads or sandwiches

(20 - 2 - 8)

or 1/10 + 2/5 = 1/10 + 4/10 = 5/10 have salad and sandwich

so 5/10 have no salad no sandwich

and 5/10 x 20 = 10

Answer:

5/10, or 1/2

Step-by-step explanation:

2/5 = 4/10

4/10 + 1/10 = 5/10

10/10 - 5/10 = 5/10

Simplified, 1/2

pls mark brainlnst

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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The value of tensions are:

T₁ = 231/74

T₂ = -329/66

T₃ = 8/33

We can use Gaussian elimination to solve the system of equations:

5T₁ + 3T₂ + 5T₃ = 70

T₁ + 2T₂ + 4T₃ = 24

4T₁ + 2T₂ = 40

First, we'll use the third equation to eliminate T₂ from the first two equations:

4T₁ + 2T₂ = 40   (equation 3)

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

Multiplying the third equation by 2 and subtracting it from the second equation:

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

- 8T₁ - 4T₂ = -80   (2 × equation 3)

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

-7T₁ + 4T₃ = -56

Now we have two equations:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

Multiplying the first equation by 7/5 and adding it to the second equation:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

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

T₁ + 7T₃ = 14

Now we can use the third equation to eliminate T₂ from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

Multiplying the third equation by 3/2 and subtracting it from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

-11T₁ - T₃ = -35   (3 × equation 3 - 5 × equation 1)

Now we have two equations:

T₁ + 7T₃ = 14   (from previous step)

-11T₁ - T₃ = -35   (from this step)

Multiplying the second equation by -7 and adding it to the first equation:

T₁ + 7T₃ = 14   (from previous step)

74T₁ = 231

Therefore, T₁ = 231/74.

Substituting this value back into the equation T₁ + 7T₃ = 14, we get:

(231/74) + 7T₃ = 14

7T₃ = (74/231) × 20

T₃ = 8/33

Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:

-11(231/74) - (8/33) = -329/66

Therefore, T₂ = -329/66.

So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33

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Answer:

$22.40 im pretty sure its right

Step-by-step explanation:

sorry if im late and mark me brainliest if im right

An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.

Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.

An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.

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A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a spherical astroid has a radius of approximately 8.5 x 10^2 m.

we know,

the volume =  4/3 π r^3

so, by calculating, we get.

volume = 2.57 x 10^9 m^3

Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

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5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Answer:

In 14,689, 14 is the thousands group, and 689 is the ones group.

Answer:

133

Step-by-step explanation:

its an obtuse angle

Answer:

\(\frac{-17}{6}\)

Step-by-step explanation:

Let x be the number we want to find.

First we analyze the given informations

Info 1 : Two times the sum of four times a number plus six

We translate this statement (info 1) mathematically as :  2×(4x + 6)

Info 2 : five less than twice the same number

We translate this statement (info 2) mathematically as : 2x - 5

Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5

2×(4x + 6) = 2x - 5

⇔ 8x + 12 = 2x - 5

⇔ 8x - 2x = -5 - 12

⇔ 6x = - 17

⇔ x = -17/6

The additional fact that would prove that △RST and ΔWXY are congruent is option D: RT ≡ WY and RS ≡ WX. So, the correct answer is D).

According to the Side-Side-Side (SSS) Congruence Postulate, if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

In this case, we already know that RT = WY, and we also have the additional fact that RS = WX. Finally, we know that ST and XY share the same length (given that they are the corresponding sides of two congruent triangles).

Therefore, we have three pairs of corresponding sides that are congruent (RT ≡ WY, RS ≡ WX, and ST ≡ XY). By the SSS Congruence Postulate, we can conclude that the two triangles △RST and ΔWXY are congruent. so, the correct answer is D).

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_____The given question is incomplete, the complete qusetion is given below:

Which additional facts prove that △RST and ΔWXY are congruent? here RT=WY= 4cm

A) RS ≡ WX

 and  

ST≡ XY

B) RS ≅ WX

 and  

RT≅ XY

C) RT ≅ WY

 and  

ST≅ XY

D)

RT ≡WY and  

RS≡WX

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85°  below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component  Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy =  -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = \(\sqrt{Vx^{2} + Vy^{2} }\)

==> \(\sqrt{15.83^{2} + 14.79^{2} }\) = 21.66 knot

direction of boat = \(tan^{-1} \frac{Vy}{Vx}\)

==> \(tan^{-1} \frac{14.79}{15.83}\) = 43.05°

Answer:

Step-by-step explanation:

Substitute for r.

1/5(1/4) + 9/20  ->  1/20 + 9/20 = 10/20.

Simplify the final answer.

10/20 = 1/2

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2.  The graph of the inequality, y ≤ │x│ - 3,  created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4,  created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

Answer:

Step-by-step explanation:

c=12.75n+12

c=15.75n

=4

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

DSA is only used for signature purposes but RSA is used for cryptographic purposes.

But somehow DSA uses discrete logarithms for Encryption and in RSA long-term calculations are used which is more secure as compared to DSA.

Now while signing messages with DSA leads to a more time and more memory-consuming process because at every point the message is signed. So the verification of signatures gets complicated.

But in the case of RSA, the calculations are high, but they consume less memory and less need for verification. Because of large calculations, RSA is much slower than DSA.

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We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

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Answer: (D)

Step-by-step explanation:

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The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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( .2597 , .3403 ) is confidence interval for the difference between the population proportions.

What does confidence interval mean?

β₁ = x₁/n₁  = 582/600 = 0.97

β₂ = x₂/n₂ = 268/400 = 0.67

( β₁ - β₂) ± z √β₁( 1 -β₁ )/n₁ + β₂(1 - β₂)/n₂

           = (.97 - .67 ) ± 1.645 √.97( 1 - .97)/600 + .97( 1 - .67)/400

           = .30 ± 0.4336

          = ( .2597 , .3403 )

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let's firstly convert the mixed fractions to improper fractions and then get their difference

\(\stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}}~\hfill \stackrel{mixed}{2\frac{4}{8}}\implies \cfrac{2\cdot 8+4}{8}\implies \stackrel{improper}{\cfrac{20}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{8}-\cfrac{20}{8}\implies \cfrac{25-20}{8}\implies \cfrac{5}{8}~oz\)

Given:

The equation is 8/9x = 32.

Explanation:

Simplify the equation for x.

So answer is x = 36.

My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

I will use targeted ads on social media platforms ,I will also use search engine optimization (SEO)to ensure that my survey is seen by the right people. The survey will be conducted over a  two weeks. In order to ensure that I get a representative sample of people, I will use demographic and psychographic targeting. This will include targeting people based on their age, gender, location, interests, and other relevant characteristics. My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

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A representative sample based on the hospital scenario is option A

A subset of a larger population that accurately reflects the traits, diversity, and distribution of the total population is referred to as a representative sample.

Due to time, financial, or logistical limitations, it is frequently not possible or practical to investigate an entire population when conducting research or gathering data. In these situations, researchers choose a representative sample from which to deduce generalizations about the total population.

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