Select all the correct locations on the table. Which expressions are accurately described?

Answer:

length=50m

width=35m

diagonal=?

using Pythagoras theorem

where c=diagonal,a=length(50m),b=width(35)

c² =a² + b²

c² =(50)² + (35)²

c² =2500+1225=3725

Taking square root on both sides

c=61m

Therefore the diagonal is 61m

Answer:

55/7 in simplest form is 7 6/7

Answer:

Original price: $ 55

Discount percentage:  25 %

Discount:  $13.75

Final Price:  $41.25

The wonderful waffle cone holds more ice cream than super sundae cone.

In this question,

The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.

Volume of ice cream cone = volume of hemisphere + volume of cone

Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)

Volume of super sundae cone:

Radius of hemisphere = height of hemisphere = 0.5 in

Depth of the ice cream cone = 4 in

Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)

⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)

⇒ 0.2616+1.0466

⇒ 1.3082 ≈ 1.31 cubic in.

Volume of wonderful waffle cone:

Radius of hemisphere = height of hemisphere = 0.9 in

Depth of the ice cream cone = 3 in

Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)

⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)

⇒ 1.526+2.5434

⇒ 4.0694 ≈ 4.07 cubic in.

Thus volume of wonderful waffle cone > volume of super sundae cone.

Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.

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D       :)

bye sis see you today

Answer:

A = 970 inches²

Step-by-step explanation:

If Charly has a 'square' carpet of 10 by 97, then its not square but rectangular, with that in mind;

A = L x W

A = 10 x 97

A = 970 inches²

Hope this helps :)

Answer:

970 inches

Step-by-step explanation:

10x97=970

Length x Width = Area

Answer:

\(\huge \boxed{9}\)

Step-by-step explanation:

3 raised to 2 is 3 to the power of 2.

\(3^2 =3 \times 3 = 9\)

3 is multiplied by itself.

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

In -xy, neither x nor y is negative. The negative in this equation indicates that the result of the operation (-xy) will be negative.

In the expression -xy, neither the x nor the y is negative. This is because the minus sign is in front of the xy, which indicates that the entire expression should be multiplied by -1. So, instead of having a negative x and a positive y, -xy would become -1 times the product of x and y, which would still be positive.

Hence, in -xy, neither x nor y is negative. The negative in this equation indicates that the result of the operation (-xy) will be negative.

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Answer:17

Step-by-step explanation:

Answer: Look for like terms and then leave the equation as it is :)

Step-by-step explanation: Hope this helps :)

Answer:

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

Step-by-step explanation:

ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.

Answer:

56

Step-by-step explanation:

Because w and 124 make a straight line. So you would need to subtract 180 from 124

Answer:

A )56

Step-by-step explanation:

(a) The number of arrangements that contain consecutive P's is 40.

(b) The number of arrangements that do not contain consecutive N's or consecutive P's is 2,176,280.

a. To determine the number of arrangements that contain consecutive P's, we can treat the consecutive P's as a single entity. So, we have 10 letters to arrange, which are ANNA, P, A, P, A, P, A, Y, and A.

Let's consider the consecutive P's as one letter. So, we have 8 distinct "letters" to arrange: ANNA, PP, A, A, A, Y, and A.

The number of arrangements of these 8 "letters" is 8!.

However, within the consecutive P's (PP), the two P's can be arranged in 2! ways.

So, the total number of arrangements is 8! * 2! = 40 * 2

= 80.

Therefore, there are 40 arrangements that contain consecutive P's.

b. To determine the number of arrangements that do not contain consecutive N's or consecutive P's, we need to consider the possible patterns.

Let's consider the letters ANNA, P, A, P, A, P, A, Y, and A as distinct entities.

The patterns that we need to exclude are:

NN (consecutive N's)

PP (consecutive P's)

First, let's count the total number of arrangements without any restrictions. We have 10 distinct letters, so the number of arrangements is 10!.

Now, let's count the number of arrangements that contain consecutive N's. We can treat the consecutive N's as a single entity, so we have 9 distinct "letters" to arrange: ANNA, P, A, P, A, P, A, Y, and A.

Within the consecutive N's (NN), the two N's can be arranged in 2! ways.

So, the number of arrangements with consecutive N's is 9! * 2!.

Similarly, let's count the number of arrangements that contain consecutive P's. We can treat the consecutive P's as a single entity, so we have 9 distinct "letters" to arrange: ANNA, PP, A, A, A, Y, and A.

Within the consecutive P's (PP), the two P's can be arranged in 2! ways.

So, the number of arrangements with consecutive P's is 9! * 2!.

To count the number of arrangements that do not contain consecutive N's or consecutive P's, we subtract the arrangements with consecutive N's and the arrangements with consecutive P's from the total number of arrangements without any restrictions:

Total arrangements without restrictions = 10!

Arrangements with consecutive N's = 9! * 2!

Arrangements with consecutive P's = 9! * 2!

Number of arrangements without consecutive N's or consecutive P's

= Total arrangements without restrictions - Arrangements with consecutive N's - Arrangements with consecutive P's

Number of arrangements without consecutive N's or consecutive P's

= 10! - (9! * 2!) - (9! * 2!)

Number of arrangements without consecutive N's or consecutive P's

= 3,628,800 - (362,880 * 2) - (362,880 * 2)

Number of arrangements without consecutive N's or consecutive P's

= 3,628,800 - 725,760 - 725,760

Number of arrangements without consecutive N's or consecutive P's

= 2,176,280

Therefore, there are 2,176,280 arrangements that do not contain consecutive N's or consecutive P's.

(a) The number of arrangements that contain consecutive P's is 40.

(b) The number of arrangements that do not contain consecutive N's or consecutive P's is 2,176,280.

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If the 100th term of an arithmetic sequence is 389, and its common difference is 4, then the first term of the arithmetic sequence is -7.

For the first term of the arithmetic sequence with the 100th term being 389 and a common difference of 4, you can use the formula for the nth term of an arithmetic sequence:

An = A1 + (n - 1)d

Where An is the nth term (in this case, the 100th term), A1 is the first term, n is the number of terms (100), and d is the common difference (4).

We know that An = 389 and n = 100, so we can plug these values into the formula:

389 = A1 + (100 - 1)4

Now, solve for A1:

389 = A1 + 396

Subtract 396 from both sides:

A1 = -7

So, the first term of the arithmetic sequence is -7.

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The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ Three-fifths, One-half, One-eighth, and 1.

Now,

Find the ascending order of the numbers as;

The number are,

⇒ 3/5, 1/2, 1/8, 1

Make all the denominators same by finding the LCM of 5, 2, 8.

Since, LCM (5, 2, 8} = 80

So, All the numbers becomes;

⇒ 3/5 = 48/80

⇒ 1/2 = 40/80

⇒ 1/8 = 10/80

⇒ 1/1 = 80/80

So, The ascending order of the numbers are;

⇒ 10/80 < 40/80 < 48/80 < 80/80

This is equivalent to,

⇒ 1/8 < 1/2 < 3/5 < 1

⇒ One-eighth < One-half < Three-fifths < 1

Thus, The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

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Answer:

The total length of the fox is 30 3/5 inches

Step-by-step explanation:

Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.

Mathematically, the total length of the fox = length of its head and body + length of its tail

length of the head and body = 19 4/5

length of its tail = 10 4/5

Plugging these values into the equation, we have;

19 4/5 + 10 4/5

99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

Answer:

sin(30°)=cos(60°)=½

Step-by-step explanation:

Sin(30°) and cos(60°) have the same value of √1/2 which gives ½

Answer:

Both answers are 1/2

Step-by-step explanation:

i just got it right

Answer:

y=90x−410

Step-by-step explanation:

in point-slope form, this would be...

y−130=90⋅(x−6)<-----

If you convert this to slope-intercept form this would be...

y=90x−410

The equation that represents the same relationship is D. 3x−4y=2

It should be noted that the equation of the line in slope-intercept form is:

y = (3/4)x - 1/2

Multiplying both sides of this equation by 4 to eliminate the fraction, we get:

4y = 3x - 2

Rearranging this equation to the standard form, we get:

3x - 4y = 2

Therefore, the answer is D. 3x - 4y = 2.

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Answer:

x2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

x = 5 or x = -3

Since x is a positive integer, x = 5

Therefore, the sides of the triangle are 5 cm, 12 cm and 13 cm.

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

7/4 > 3/4

4/10 < 7/10

2/5 = 4/10

9/10 < 11/10

11/5 > 2/5

6/12 > 1/4 ​

Using the concepts of area of rectangle, we got that  72 feet  is the the least amount of fencing he can use to create the area for his sheep.

Lets, suppose that the length of rectangle as x feet,

and width of rectangle as y feet.

So perimeter of rectangle as 2×( length + breadth)

We are given perimeter of rectangle as 72 feet

So, length of two sides of rectangle + width of rectangle=72feet.

=>2x+y=72 feet----------(eq1)

Now, we know that area of rectangle is given by =(length × breadth),or

=>(x × y)=20000

Putting values of y from eq1,we get

=>x × (72-2x)=20000

=>72x-2x²=20000

We need to find the least amount of fencing, so we find the local minima by using the differentiation

=>d(72x)/dx-d(2x²)/dx=d(20000)/dx

=>72-4x=0

=>x=18feet

Therefore, y=72-2×18=72-36=36feet

Hence, length of rectangle is 18 feet, and width is 36 feet

Therefore, length of fencing is =2x+y=2×18+36=72 feet.

Hence, if a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. he wants the area to be 20,000 square feet, then the least amount of fencing he can use to create the area for his sheep is 72 feet.

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(Complete question) is:

a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. Perimeter of rectangle is given as 72 feet. He wants the area to be 20,000 square feet. what is the least amount of fencing he can use to create the area for his sheep?

The coefficient of multiple determination is B. 0.1225

The coefficient of multiple correlation is a measure of the linear relationship between multiple independent variables and a dependent variable. It ranges from -1 to 1, where 1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and 0 indicates no relationship.

The coefficient of multiple determination, also known as R-squared, represents the proportion of the variance in the dependent variable that can be explained by the independent variables in a multiple regression model.

To find the coefficient of multiple determination, we square the coefficient of multiple correlation. In this case, since the coefficient of multiple correlation is 0.35, we square it to get the coefficient of multiple determination.

\( 0.35^2 = 0.1225 \)

So, the coefficient of multiple determination is approximately 0.1225.

Now, let's check which option from the given choices is the closest to 0.1225:

a. 0.10
b. 0.12
c. 0.14
d. 0.16

Based on our calculation, the coefficient of multiple determination is approximately 0.1225, which is closest to option b. Therefore, the correct answer is b. \( 0.12 \).

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Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

Answer:

1 mile/hour is equivalent to 1.47 feet/seconds

Step-by-step explanation:

Given

\(88 ft/s= 60 miles/hr\)

Required

Determine the equivalent of 1 mile/hour

\(88\ ft/s= 60\ miles/hr\)

Express 60 as 60 * 1

\(88\ ft/s= 60 * 1\ mile/hr\)

Divide both sides by 60

\(\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}\)

\(\frac{88\ ft/s}{60}= 1\ mile/hr\)

Reorder

\(1\ mile/hr = \frac{88\ ft/s}{60}\)

Divide 88 by 60

\(1\ mile/hr = 1.46666666667\ ft/s\)

Approximate to 3 significant figures

\(1\ mile/hr = 1.47\ ft/s\)

Hence;

1 mile/hour is equivalent to 1.47 feet/seconds

Answer:

$899.70

hope this helps if so please award brainlist

Step-by-step explanation: