joey chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. he needs to eat more than 727272 hot dogs to break his record. after 111 minute, joey has eaten 11 \frac{1}{4}11 4 1 ​ 11, start fraction, 1, divided by, 4, end fraction hot dogs. let ddd represent the number of hot dogs joey eats per minute for the next 999 minutes. which inequality represents the number of hot dogs per minute joey could eat for the last 999 minutes to break his record? choose 1 answer: choose 1 answer: (choice a) a 11\frac{1}{4} 9d>7211 4 1 ​ 9d>7211, start fraction, 1, divided by, 4, end fraction, plus, 9, d, is greater than, 72 (choice b) b 11\frac{1}{4} 9d

Answer:use a calculator

Step-by-step explanation:

The unit rate for a proportional relationship is y = 6x.

The proportional relationship, can be find by the formula,

y = kx.........................1

Where,

X- position at X- cordinate= 1

Y - position at Y- coordinate = 6

k - constant of proportionality

put the values in the equation,

6 = k1

k = 6

Put the value of k into equation 1,

y = 6x

Therefore, the unit rate for a proportional relationship is y = 6x.

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Answer:

26

Step-by-step explanation:

38-12=26

×=26

Step-by-step explanation:

x+12=38

-12 -12

×=26

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

Answer:

-25/3 or mixed from -8 1/3

Step-by-step explanation:

Answer:

-25/3 or -8.3

Step-by-step explanation:

Hope this helps:)

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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There are 324,632 six-digit strings with a digit sum of 35.

To find the number of six-digit strings with a digit sum of 35, we'll use the "stars and bars" combinatorial method.

Since we're looking for six-digit strings, subtract the minimum possible value for each digit (1) from the total digit sum: 35 - 6 = 29. This means we need to distribute 29 units among the six digits.

Use the "stars and bars" method, which involves placing "bars" between "stars" to divide them into groups. In this case, the stars represent the units to be distributed, and we need to place 5 bars to divide the 29 units into 6 groups.

Count the total number of stars and bars: 29 stars + 5 bars = 34 objects.

Calculate the number of ways to choose 5 bars from 34 objects: C(34, 5) = 34! / (5! * (34 - 5)!).

Evaluate the expression: C(34, 5) = 34! / (5! * 29!) = 324,632.

So, there are 324,632 six-digit strings with a digit sum of 35.

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The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to two angles and the side between them of another triangle, then the two triangles are congruent.

The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to the two angles and the side between them of another triangle, then the two triangles are congruent. This theorem is an important tool in geometry that can be used to determine if two triangles are congruent and to find missing side lengths or angles. This theorem is based on the idea that if two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles must be congruent. This is because the third side of the triangle, and the remaining angles must also be equal in order for the triangles to be congruent. Therefore, the AAS Triangle Congruence Theorem can be used to determine if two triangles are congruent, and to find missing side lengths or angles.

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The estimated mean lifetime of a bulb of 154.69

The table is given as:

Lifetime                Frequency

25 < t ≤ 50             47

50 < t ≤ 100            86

100 < t ≤ 150          45

150 < t ≤ 200         36

200 < t ≤ 250        0

250 < t ≤ 300       37

300 < t ≤ 350      50

Calculate the midpoint using:

x = (Lower +Upper)/2

So, we have:

Lifetime                Frequency

37.5                        47

75                           86

125                        45

175                        36

225                        0

275                       37

325                      50

The mean value is calculated as:

\(\bar x = \frac{\sum fx}{\sum f}\)

So, we have:

\(\bar x = \frac{37.5 * 47 + 75 * 86 + 125 * 45 + 175 * 36 + 225 * 0 + 275 * 37 + 325 * 50}{47 + 86 + 45 + 36 + 0 + 37 + 50}\)

Evaluate

\(\bar x = \frac{46562.5}{301}\)

Divide

\(\bar x = 154.69\)

Hence, the estimated mean lifetime of a bulb of 154.69

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Answer:

answer is the ratios are not equivalent or not in proportion

Step-by-step explanation:

you can find it by crops multiplication

4/7

8/11

4*11

8*7

44=56

Therefore it is not in proportion

Answer:  4 : 7 = 8 : 14

8 : 11 = 16 : 22

Step-by-step explanation:

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

Answer:

10/54 = 0.185

Answer:

30°

Step-by-step explanation:

180-150 = 30

For the system to be consistent for all possible values of f and g, the determinant of the coefficient matrix, ad - bc, must be non-zero.

To analyze the consistency of the system and make conclusions about the constants a, b, c, and d, we can consider the determinant of the coefficient matrix.

The coefficient matrix of the system is:

| a  b |

| c  d |

The system is consistent for all possible values of f and g if and only if the determinant of the coefficient matrix is not zero (i.e., the matrix is non-singular).

Therefore, for the system to be consistent for all values of f and g, we must have:

det(coefficient matrix) = ad - bc ≠ 0

If the determinant is non-zero (i.e., ad - bc ≠ 0), then we can conclude that the system is consistent for all possible values of f and g.

If the determinant is zero (i.e., ad - bc = 0), then the system may or may not be consistent. In this case, further analysis is required to determine the consistency of the system.

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The complete question is:

Suppose a,b,c and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a,b,c, and d? [ax1 + bx2 = f] [cx1 + dx2 = g ]

The system of equations [x - 3y = -1 and -6x + 19y = 6] can be solved, resulting in x = -1 and y = 0.

To solve the system of equations [x - 3y = -1 and -6x + 19y = 6], we can use the method of substitution or elimination.

Let's solve it using the method of elimination.

First, we can multiply the first equation by 6 and the second equation by -1 to eliminate the x terms.

This gives us [6x - 18y = -6 and 6x - 19y = -6].

Now, subtracting the first equation from the second eliminates the x terms, leaving us with -y = 0. Solving for y, we find y = 0.

Substituting this value back into the first equation, we get x - 3(0) = -1, which simplifies to x = -1.

Therefore, the solution to the system of equations is x = -1 and y = 0.

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Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

Answer:

9

Step-by-step explanation:

The given two triangles must be similar by AA similarity Condition . Therefore ,

And the corresponding sides of the similar triangles are Proportional . Therefore ,

⇒ ED/ CB = AD/AB

⇒ 11/2 = 3 + x / 3

⇒ 33 = 2(3+x)

⇒ 6 + 3x = 33

⇒3x = 33 - 6

⇒ 3x = 27

⇒ x = 27/3

⇒ x = 9

Compound Interest

The final value of an investment of P dollars for t years at an interest rate of r is given by:

Where m is the number of compounding periods per year.

(a)

Lori buys a CD for P = $1500 that earns r = 6% = 0.06 interest compounded monthly for t = 10 years. Here m = 12 because there are 12 months in a year.

Substituting:

The CD will be worth $2729.10 in 10 years.

(b) If the interest compounds daily, then m = 360. Calculating:

The CD will be worth $2733.04 in 10 years.

(c) For t = 5 years:

The CD will be worth $2024.74 in 5 years.

Answer:

The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign.

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

15x+8=180-97 , solve for x and u shall get the answer

Answer:5

Step-by-step explanation:

Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.

The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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The df values for the f-ratio for the axb interaction in this experiment would be 28.

To determine the df values for the f-ratio for the axb interaction in this experiment, we first need to calculate the total number of observations in the study. With 3 levels of factor a and 3 levels of factor b, there are a total of 9 possible treatment conditions. With a sample of n = 8 in each treatment condition, there are a total of 72 observations in the study.

Next, we need to calculate the degrees of freedom for the axb interaction. This can be done using the formula dfaxb = (a-1)(b-1)(n-1), where a is the number of levels of factor a, b is the number of levels of factor b, and n is the sample size.

In this case, a = 3, b = 3, and n = 8, so dfaxb = (3-1)(3-1)(8-1) = 2 x 2 x 7 = 28.

Therefore, the df values for the f-ratio for the axb interaction in this experiment would be 28. This indicates the amount of variability in the data that can be attributed to the interaction between factor a and factor b, after accounting for any main effects. A larger f-ratio with a corresponding smaller p-value would suggest a more significant interaction effect.

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Step-by-step explanation:

short step

(-isin(π/6)+2×5cos(π/6) ei π/4)

I/2+5√3 4√-1

The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The trigonometric expressions are given below.

2 [cos(45°) + i sin(45°)] and 5 [cos(30°) + i sin(30°)]

Then the product of the trigonometric expressions is given as,

⇒ 2 [cos(45°) + i sin(45°)] × 5 [cos(30°) + i sin(30°)]

⇒ 10 [(cos 45° × cos 30° + sin 45° × sin 30° × i²) + i (sin 45° × cos 30° + cos 45° × sin 30°)]

⇒ 10 [cos (45° + 30°) + i sin (45° + 30°)]

⇒ 10 (cos 75° + i sin 75°)

The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).

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Integers with a magnitude of 0 to 999999999999999 with a signed or unsigned variable prefix are considered to be numerical constants. Numerical constants include, for instance:  0, -13, 1300, 114567

In mathematics, a variable is a value that may be changed depending on the problem. The general letters x, y, and z are used in many mathematical formulae. In other words, a variable is a symbol used in equations to denote a number whose value is uncertain. Suppose x + 5 = 10. This uses the variable "x." In mathematics, a variable is a value that may be changed depending on the problem.

The following are the  invalid numeric constants

      1.2                    not an integer

       1                     not numeric

10000000000    too large

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Answer:

x = 5

Step-by-step explanation:

brainliest pls?

The graph of f(x) = sin(x) + 4 function passes through (0,4) and has a minimum value.

A function is a rule or relationship that assigns a unique output value to each input value.A function is typically denoted by a symbol, such as f(x) or g(x), where "x" represents the input value.

sin(x) has a point at (0,0) so that's not right.

sin(x)+4 has (0,4) as a point and a minimum at (3*pi/2+2*pi*n,3) where n is some integer.  if we have n = 0 then it becomes (3*pi/2, 3).

Therefore the answer is f(x)=sin(x)+4

cos(x) + 3 has a point at (0,4) then minimums at (pi+2*pi*n, 2)  

the y coordinate is wrong.

-3sin(x) has a point at (0,0) so that's wrong

4cos(x) has a point at (0,4) then minimums at (pi+2*pi*n, -4) which again has the wrong y value so this is wrong.

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Since the question is incomplete. Complete question is :

The graph of which function passes through (0,4) and has a minimum value at (3 pi / 2 , 3) ? f (x) = sine (x) + 4 f (x) = cosine (x) + 3 f (x) = negative 3 sine (x) f (x) = 4 cosine (x)

Answer:

180-92= 88 degree

Step-by-step explanation:

180-92= 88 degree

Answer:

Supplementary angles are two angles whose sum is 180°.

92+x= 180

x= 180-92

x= 88

Answer:

\(width=12\)

Step-by-step explanation:

The formula for the area of a rectangle:

\(Area=length*width\)

Insert the known values:

\(180=15w\)

Solve for w. Isolate the variable by dividing both sides by 15:

\(\frac{180}{15}=\frac{15w}{15} \\\\12=w\)

w is equal to 12, so the width of the rectangle is 12 cm.

:Done