What is 100% as a fraction

Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

\(g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)\)

Answer:

1697.5

Step-by-step explanation:

bY multiplying

Answer:

1697.5

Step-by-step explanation:

you just add a dot next the the 5 and remove remove the last dight

Answer:

11

Step-by-step explanation:

every ratio is been multiplied for eleven si if we know this we can tell that

1 times 11= 11

Answer:

11

Step-by-step explanation:

Just times the things by 11, 5 times 11 is 55, 10 times 11 is 110, and 20 times 11 is 220, so 1 times 11 is 11 so 11 is the answer.

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There can be a total of 63,273,600 license plates that can be made using either 3 letters followed by 3 digits or 4 letters followed by 2 digits.

To determine the number of license plates that can be made using either 3 letters followed by 3 digits or 4 letters followed by 2 digits, we need to calculate the total number of possibilities for each case and then sum them up.

3 letters followed by 3 digits

There are 26 letters in the English alphabet (assuming we're considering only uppercase letters), and 10 digits (0-9). In this case, we have 26 choices for each of the three letters and 10 choices for each of the three digits. Therefore, the number of license plates in this case is:

26 * 26 * 26 * 10 * 10 * 10 = 17,576,000

4 letters followed by 2 digits

Similar to Case 1, we have 26 choices for each of the four letters and 10 choices for each of the two digits. Therefore, the number of license plates in this case is:

26 * 26 * 26 * 26 * 10 * 10 = 45,697,600

To find the total number of license plates, we add the results from both cases:

17,576,000 + 45,697,600 = 63,273,600

Therefore, there can be a total of 63,273,600 license plates that can be made using either 3 letters followed by 3 digits or 4 letters followed by 2 digits.

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Answer:

6x^2-x-2

Step-by-step explanation:

The rate of change of the area of the rectangle is 80 mm²/s when the width is 8 mm and the length is increasing at a rate of 10 mm/s.

Let's first recall the formula for the area of a rectangle:

A = l × w

where A is the area, l is the length, and w is the width.

We are given that the length of the rectangle is increasing at a rate of 10 mm per second, and the width is constant at 8 mm. To find the rate of change of the area, we can use the chain rule of differentiation:

dA/dt = (dA/dl) × (dl/dt)

Since the width is constant, we can treat it as a constant and differentiate only the length with respect to time:

dA/dt = w × (dl/dt)

Substituting the given values, we have:

dA/dt = 8 × 10 = 80 mm²/s

Therefore, the rate of change of the area of the rectangle is 80 mm²/s when the width is 8 mm and the length is increasing at a rate of 10 mm/s.

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Answer:

No, there are less than 90 people at the party.

Step-by-step explanation:

This is because the number of women cannot go above 48 as it says "Some women leave".

-> This means that the ratio 10:11 actually states that there are 40(or less) women and 44(or less) men in the party now which is less

than 90 overall, so the answer is No.

:)

Answer:

122.5 cm²

Step-by-step explanation:

Area = 1/2 × 35 × 7 = 122.5 cm²

Answer:

area of rectangle=l×b =14×7 =98cm²

again,

area of triangle=1/2×7×7=24.5cm²

total area =98+24.5=122.5cm²

hope it helps.

The magnitude or length of AB, represented as ||AB||, is calculated using the distance formula resulting in √101.

To sketch AB, plot the initial point A(8, -4) and the terminal point B(-2, -3) on a coordinate plane. Then, draw a line segment connecting these two points. The line segment AB represents the vector AB.

To write AB in component form, subtract the x-coordinates of B from the x-coordinate of A and the y-coordinates of B from the y-coordinate of A. This gives us the vector (-2 - 8, -3 - (-4)), which simplifies to (-10, 1). Therefore, AB can be represented as the vector (-10, 1).

To find the magnitude or length of AB, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane. Applying the distance formula to AB, we have √((-2 - 8)² + (-3 - (-4))²). Simplifying the equation inside the square root, we get √(100 + 1), which further simplifies to √101. Thus, the magnitude or length of AB, denoted as ||AB||, is √101.

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Answer:

X = 7

Step-by-step explanation:

Hope it helped youuu

Answer:

x = 7

Step-by-step explanation:

Opposite angles are equal to each other.

x + 16 = 4x - 5

Subtract x from both sides of the equation.

Add 5 to both sides of the equation.

21 = 3x

Divide both sides by 3.

x = 7

Part 1:

(a) Fill in the missing table cells:

Table 1: Impact Strength (ft-lb/in)

1 1 2 3 4 5 5

Point Values

55 56 55 50 46

(b) The Sum of Squares equals: 73.2

(c) This variance equals: 18.3

(d) The standard deviation equals: 4.278

(e) The deviation for the first observation equals: 2.6

(f) The Z-score for the fifth observation equals: -1.4961

Part 2:

We wish to convert from foot-pound/in to J/m, so let y be the strength in J/m. There is 1 ft-lb/in for every 53.35 J/m.

G) -

H) s2y =

I) Sy =

J) The Z-score for the fifth transformed observation is:

Part 1:

(a) The missing table cells are not provided in the question.

(b) The Sum of Squares is calculated by summing the squares of the deviations of each data point from the mean. Since the values are not provided, we cannot calculate the Sum of Squares.

(c) Variance is the average of the squared deviations from the mean. It is calculated by dividing the Sum of Squares by the number of data points. In this case, the variance is given as 18.3.

(d) Standard deviation is the square root of the variance. It is calculated as the square root of the variance. In this case, the standard deviation is given as 4.278.

(e) The deviation for the first observation is provided as 2.6. It represents the difference between the first observation and the mean.

(f) The Z-score for an observation is a measure of how many standard deviations it is away from the mean. The Z-score for the fifth observation is given as -1.4961.

Part 2:

In order to convert from foot-pound/in to J/m, we need to use the conversion factor of 1 ft-lb/in = 53.35 J/m.

G) - The missing value is not provided in the question.

H) The variance of the transformed variable, y, can be calculated by multiplying the variance of the original variable, x, by the square of the conversion factor (a^2). However, since the variance of x is not provided, we cannot calculate s2y.

I) The standard deviation of the transformed variable, y, can be calculated by multiplying the standard deviation of the original variable, x, by the absolute value of the conversion factor (|a|). However, since the standard deviation of x is not provided, we cannot calculate Sy.

J) The Z-score for the fifth transformed observation can be calculated by subtracting the mean of the transformed variable from the fifth transformed observation and then dividing it by the standard deviation of the transformed variable.

However, since the mean and standard deviation of the transformed variable are not provided, we cannot calculate the Z-score.

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Answer:

-8

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

Answer:

C) 70 degrees

Step-by-step explanation

It cant be A bc its bigger than 110.

Its definitly not 20

and its not 110 bc it would be the same size.

Since the relationship is proportional, the line will pass through the origin (0, 0). This means that if there is a bag with zero weight, it would have zero cost.

To graph the proportional relationship between the weight and total cost of the bags of lemons, follow these steps:

1. Identify the independent variable and the dependent variable. In this case, the weight of the bag (in pounds) is the independent variable, and the total cost of the bag (in dollars) is the dependent variable.

2. Create a coordinate plane. Label the x-axis as "Weight (pounds)" and the y-axis as "Total Cost (dollars)".

3. Plot the data points. For the first bag, with a weight of 2.4 pounds and a cost of $5.28, plot a point at (2.4, 5.28) on the coordinate plane. For the second bag, with a weight of 2.7 pounds and a cost of $5.94, plot a point at (2.7, 5.94) on the coordinate plane.

4. Draw a straight line passing through the two plotted points. This line represents the proportional relationship between the weight and total cost of the bags of lemons.

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Answer:

x > 4 and x <3

Step-by-step explanation:

Given the system of inequalities

2x – 5 > 3 or 11 – 3x > -2

for 2x – 5 > 3

2x > 3+5

2x>8

x>8/2

x> 4

For 11-3x > -2

-3x > 2-11

-3x > -9

x < -9/-3

x<3

hence the result will be x > 4 and x <3

Answer: 104

Step-by-step explanation:

If .6 or 60% of the animals in the shelter are dogs, then we can multiply .6 by 260 to get how many are dogs.

.6 times 260 is 156.

260-156=104.

Answer:

Jennys backyard cost 7524 doll hairs.

Step-by-step explanation:

11x9=99

76x99=7524

hope this helps!!

Answer:

5. c- 50°; 130°

6. b- 5:4

7. d- 12/24

Option B is the greatest number , 1.997 x 10² .

An exponent is a number which is in the power of a number , called as base.

It is asked to find the which value is greatest among the options given

\(\rm 2.89 \times 10^{-8}\\\\1.997 \times 10 ^2\\\\8.9 \times 10^ {-6}\\\\5 \times 10 ^{- 6}\\\\\)

As it can be seen from the options that all the numbers except option B has  negative exponents which makes it a very small number , while the option B has positive exponent

Therefore Option B is the greatest number.

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Answer: Option B is the greatest number, 1.997 x 10².

Step-by-step explanation: Edge 2023 Option B is the greatest number, 1.997 x 10².

Answer:

Step-by-step explanation:

Step 5=x+x-2=-148

2x-2=-148

2×=-148+2

2x=-146

2×÷2=-146÷2

X=-73

Step 6 .No 1=73

No.2=75

Integrals for the area of the surface obtained by rotating the curve about the x-axis (a) and y-axis (b) are:
a) A_x = 2 * π * ∫[x=a to x=b] (y * √(1 + (f'(x))²) dx)
b) A_y = 2 * π * ∫[x=a to x=b] (x * √(1 + (f'(x))²) dx)

A more detailed explanation of the answer.

Follow these steps below;

Step 1: Identify the curve equation, and the interval of rotation.
Let's assume the curve equation is y = f(x), and the interval of rotation is [a, b].

Step 2: Set up the integral for rotation around the x-axis (a).
For rotation around the x-axis, the surface area integral is given by:
A_x = 2 * π * ∫[x=a to x=b] (y * √(1 + (f'(x))²) dx)
where f'(x) is the derivative of f(x) with respect to x.

Step 3: Set up the integral for rotation around the y-axis (b).
For rotation around the y-axis, the surface area integral is given by:
A_y = 2 * π * ∫[x=a to x=b] (x * √(1 + (f'(x))²) dx)
where f'(x) is the derivative of f(x) with respect to x.

In summary, the integrals for the area of the surface obtained by rotating the curve about the x-axis (a) and y-axis (b) are:
a) A_x = 2 * π * ∫[x=a to x=b] (y * √(1 + (f'(x))²) dx)
b) A_y = 2 * π * ∫[x=a to x=b] (x * √(1 + (f'(x))²) dx)

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The factors of quadratic function x²-12x + 36 are (x -6) and (x - 6).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function:

x²-12x + 36.

To factorize the quadratic function:

x²-12x + 36,

= x²-6x -6x + 36

= x(x - 6) -6(x - 6)

= (x -6) (x - 6)

Therefore, the factors are (x -6) and (x - 6).

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The midpoint M of the line segment PQ is 14 units

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

A line segment PQ

The midpoint M

Using the above as a guide, we have the following:

P = 5

Q = 23

The midpoint M can be calculated using any of the following formulas

M = (Q - P)/2 + P or M = (P + Q)/2

Substitute the known values in the above equation, so, we have the following representation

M = (23 - 5)/2 + 5 or M = (23 + 5)/2

Evaluate the equations

M = 14

Hence, the value of M is 14 units

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Answer:

5. D

3. B

2. C

4. miles per hour 2 1/8, hours per mile 8/17

Answer:

The given two column proof is completed as follows;

Statements    \({}\)                                               Reasons

1. \(\overline{BE}\) ║ \(\overline {CD}\)    \({}\)                                               1. Given

2. ∠1 ≅ ∠2, ∠3 ≅ ∠4 \({}\)                                    2. Corresponding ∠s Post.

3. ΔABE ~ ΔACD \({}\)                                          3. AA similarity Postulate

4. \(\dfrac{AC}{AB} = \dfrac{AD}{AE}\)    \({}\)                                              4. Def. of ~ Δs

5. AC = AB + BC; AD = AE + ED   \({}\)                5. Segment Add. Post

6. \(\dfrac{AB + BC}{AB} = \dfrac{AE + ED}{AE}\)   \({}\)                           6. SAS Similarity Theorem

7. \(\dfrac{AB}{AB} + \dfrac{BC}{AB} = \dfrac{AE }{AE} + \dfrac{AE}{AE}\)   \({}\)                          7. Distributive property of equality

8. \(1 + \dfrac{BC}{AB} = 1 + \dfrac{AE}{AE}\)  \({}\)    \({}\)                               8. \(Simplify \left(\dfrac{AB}{AB} =1; \dfrac{AE }{AE} =1\right)\)

9. \(\dfrac{BC}{AB} =\dfrac{AE}{AE}\)          \({}\)    \({}\)                                    9. Subtraction prop. of =

Step-by-step explanation:

The given two column proof is completed as follows;

Statements    \({}\)                                               Reasons

1. \(\overline{BE}\) ║ \(\overline {CD}\)    \({}\)                                               1. Given

2. Corresponding angles are congruent (postulate)

3. Angle Angle, AA similarity Postulate

4. Def. of ~ Δs Definition of similar triangles

5. Segment Addition Postulate

6. Side-Angle-Side SAS Similarity Theorem

7. Distributive property of equality

8. \(1 + \dfrac{BC}{AB} = 1 + \dfrac{AE}{AE}\)  \({}\)    \({}\)                               8. \(Simplify \left(\dfrac{AB}{AB} =1; \dfrac{AE }{AE} =1\right)\)

9. Subtraction property of equality, by subtracting 1 from both sides

Answer:

8.125

Step-by-step explanation:

Just do 1 and 5/8 times 5

Answer:

8 1/8 hours a week

Step-by-step explanation:

I 5/8 times 5 gives me the product of 8.125. After converting that to a mixed number, you get 8 1/8.

You're welcome.

The values of A,B,C are 1/4,0.-1/8 respectively.

If the degree of both f(x,y) and g(x,y) are the same, a differential equation of the form f(x,y)dy = g(x,y)dx is said to be homogeneous. For k>0, a homogeneous function of degree n is a function of type F(x,y) that may be expressed in the form kn F(x,y). As a result, f and g are the same-degree homogeneous functions of x and y.

The characteristic equation of homogeneous problem and its zeros:

r²+4=0

r= ±2i

Homogeneous solution:

yc=c1 cos 2t+ c2 sin 2t

set Y1= At²+ Bt+C

Plugging in Y1 into the starting equation:

2At+ 4At²+ 4Bt+4C=t²

A=1/4

B=0

2A+4C= 0

4C= -1/2

C= -1/8

Thus, the values of A,B,C are 1/4,0.-1/8 respectively

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20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600

they are sold for $710, so the difference is 710 - 600 = 110

the commision is 6, so the final gain is 110 -6 =104

profit divided by the inversion:

104/600 = 0.1733

the answer is 17.33 %