define a rational number and then give an example​

Answer:

x=11

Explanation:

If triangles QRS and TUV are similar, then the ratio of the corresponding sides are:

Substituting the given lengths:

We solve the equation above for x:

The value of x is 11.

The equation in slope-intercept form is y = 10x + 41.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (-3, -4).

Points on y-axis = (11, 1).

At point (-3, 11), a linear equation of this line can be calculated in slope-intercept form as follows:

y - 11 = (1 - 11)/(-4 + 3)(x + 3)

Y - 11 = 10(x + 3)

y = 10x + 30 + 11

y = 10x + 41.

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product = multiplication

so it's    2 * (x+4) = 22

* = product / multiplication

sum = addition

2 * (x+4) = 22

2x + 8 = 22

2x = 14

x = 7

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

2x/2 = 6

Step 2: Simplify

x = 6

Answer:

x=4

have a great day. mine sucks.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Trapezoids have only one pair of parallel lines.        

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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what arrow i do not see any picture

Answer:

80 in

Step-by-step explanation:

Answer:

d = 13

Step-by-step explanation:

3×4+1=13

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Answer:

d=13

Step-by-step explanation:

Multiply:

3x4=12

Add:

12+1=13

Add Equations:

d=13

Hence, the correct answer is d=13

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Answer:

(4 , 5)

Step-by-step explanation:

midpoint formula: (x1+x2/2 , y1+y2/2)

so

(1+7/2 , 4+6/2)

(8/2 , 10/2)

4 , 5

Answer:B= 1/4

Step-by-step explanation:

Completing the square gives

\(\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)\)

\(\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2\)

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when \(x=6\), we have \(x+2b=0\). So

\(6+2b=0\implies 2b=-6\implies\boxed{b=-3}\)

Answer:

divide 175 by 6 then write a = 29.1666666

Answer:

a  = 175/6     (fraction form)

Step-by-step explanation:

6a=175

Divide 175 by 6

\(a=\frac{175}{6}\)                    fraction form

\(a=29\frac{1}{6}\)                   Mixed number form

a=29.166666         Decimal form

Answer:

-6x - 2y = 12

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

.

Answer:

The second is the answer (4/5) + (2/4)

Step-by-step explanation:

4/5+2/4

4/5= 16/20

2/4 = 10/20

If you add 16+10 you get 26, which is the answer

Answer:

4/5 + 2/4

Step-by-step explanation:

Answer:

n=6

Step-by-step explanation:

2n-7=5      (add 7 to -7 and 5)

2n=12        (divide both sides by two)

Solution:

n=6

Answer:

N = 1

Step-by-step explanation:

1.- 2n - 7 = 5

Subtract 5 on both side of the equal sign

2.-  2 = 2n

Divide 2 on both side to get the "n" by itself

3.- 2 divided 2 is 1

Answer: C. Trapazoid.

Step-by-step explanation:

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

The best interpretation is A) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%.

The confidence interval is constructed based on the sample data, not the population. The interval represents the range in which the true proportion of people who intend to vote for Candidate R in the population is likely to fall, given the sample data. The margin of error of 5% indicates that the estimate may be off by up to 5%. So, there is a 95% chance that the true proportion is between 42% (47% - 5%) and 52% (47% + 5%).

Option D) We are 95% confident that the proportion who intend to vote for Candidate R from the population is 47% is not correct because there is always some degree of uncertainty in sample estimates. The confidence interval takes into account this uncertainty by providing a range of possible values.

Option E) We are confident that 95% of the population intended to vote for Candidate R is not correct because the confidence level refers to the level of confidence in the estimate, not the proportion of people who actually intend to vote for the candidate.

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Answer:

\(35.36,44.64\)

Step-by-step explanation:

Sample size \(n=40\)

Mean weight \(\=x =67\)

Standard deviation \(\sigma=11.4\)

Confidence Interval \(CI=0.99\)

\alpha==0.01

Therefore

\(Z_{\frac{\alpha}{2}}=Z_[0.005]\)

From table

\(Z_{\frac{\alpha}{2}}=2.576\)

Generally, the equation for Margin of error is mathematically given by

\(M.E=Z_{\frac{\alpha}{2}}*(\frac{\sigma}{sqrt{n}}\)

\(M.E=2.576*(\frac{11.4}{\sqrt{40}}\)

\(M.E=4.64\)

Therefore Estimated mean is

\(\=x-M.E<\mu <\=x +E\)

\(40-4.64<\mu< 40+4.64\)

\(35.36<\mu < 44.64\)

\(35.36,44.64\)

Answer:

This is a ssa situation, no triangle is possible.

Step-by-step explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)

\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)

\(\implies \sf \sin B=1.0475007...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.

Answer:

$80

Step-by-step explanation:

If you bought shares for $400 and made a loss of 20% when you sold them, then you lost 20% of $400, which is:

$400 x 0.20 = $80

So you lost $80 when you sold the shares.

Therefore, the amount you sold the shares for would be:

$400 - $80 = $320.

Answer:320

Step-by-step explanation 20% =  1/5 so you subtract one fifth of 400 which is 80 to get 320

The required area of the lune is (D) √3/4 - π/24.

The measurement that expresses the size of a region on a flat or curved surface is termed area.

Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So,

The lune's area is equal to the smaller semicircle's area minus the segment's area.

The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.

Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.

Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)

Area of the lune = π/8 - π/6 + √3/4

= √3/4 - π/24

Therefore, the required area of the lune is (D) √3/4 - π/24.

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Answer:

The question is not complete

Answer:

Find the definitions and points below.

Step-by-step explanation:

1. Food Handling refers to any of the stages in the preparation, storage, transportation, packaging, and delivery of food.

2. Utensils are those vessels and tools that are used to carry, cut, stir, and store items and ingredients required in food preparation.

3.  Three quality points for dairy and eggs which indicate quality and freshness are;

a. Smell: A decaying and pungent smell indicates a lack of quality.

b. Color: An abnormal color with physical signs of rottenness shows a lack of quality.

c. The sinking test is used to check for the freshness of eggs. If an egg sinks when put in a glass of water, it is a sign of freshness. If it floats, it is an indication of decay.

4. Three quality points for dry goods that indicate quality and freshness:

Moisture: The presence of moisture in dry food shows a lack of quality.

Weight: Heaviness might be an indication that one coconut is better than another.

Texture: A dry food that is sticky might indicate a lack of freshness. Smoothness, crunchiness, hardness, and toughness are other qualities to look out for.

5. Five ways I could increase the nutritional value of pastries include

1. Using fresh ingredients: Fresh ingredients free from contamination will guarantee that foods with good nutritional values are produced.

2. Preparing them in a hygienic environment: A hygienic environment will prevent food poisoning by bacteria and other contaminants.

3. Using proper measurements: When the right measurements are used in the preparation of pastries a balanced snack is produced.

4. Good preservation techniques: The right preservation techniques will prevent food spoilage.

5. Good packaging and wrapping: These will prevent exposure of the food to moisture, rodents, and other unwanted factors. Thus, the nutritional value is preserved.