whats the area of this?

Answer:

the answer might be 'scariest zoo animal'

Step-by-step explanation:

hope this helps

Answer:

i think the answer is "favorite zoo animal"

Step-by-step explanation:

because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"

The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:

x + (x + 10) + (2x - 6) = 180

Combine the terms:

4x + 4 = 180

Subtract 4 from both sides:

4x = 176

Divide by 4:

x = 44

Now, we can find the measures of the other two angles:

x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

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a) Our assumption that there exist integers x and y such that x² - 4y = 2 is false, and we can conclude that for all integers x and y, x² - 4y ≠ 2.

b)  46¹⁰ ≡ 1 (mod 7).

     345 mod 9 ≡ 1 (mod 9).

(a) Proof by contradiction:

Assume that there exist integers x and y such that x² - 4y = 2.

Then x² = 2 + 4y.

Since 2 is an even integer, 4y must also be an even integer, which means that y is an even integer.

Let y = 2k, where k is an integer.

Then x² = 2 + 8k.

If x² is an even integer, then x must also be an even integer (by the given fact).

Let x = 2m, where m is an integer.

Then (2m)² = 2 + 8k.

Simplifying this equation, we get:

4m² = 1 + 4k.

This equation implies that 4m² is an odd integer, which is a contradiction.

Therefore, our assumption that there exist integers x and y such that x² - 4y = 2 is false, and we can conclude that for all integers x and y, x² - 4y ≠ 2.

(b)

(i) 46¹⁰ mod 7:

We can use the property that \(a^{b+c} = (a^b)*(a^c)\) to simplify the exponent:

46¹⁰ = (46⁵)²

To find 46⁵ mod 7, we can reduce the base modulo 7:

46 ≡ 4 (mod 7)

Then, we can use the property that (a*b) mod m = ((a mod m) * (b mod m)) mod m:

46⁵ ≡ 4⁵ (mod 7)

≡ (44444) mod 7

≡ (-1)(-1)(-1)(-1)(-1) mod 7

≡ -1 mod 7

≡ 6 (mod 7)

Substituting this value back into the original expression:

46¹⁰ ≡ (46⁵)²

≡ 6² (mod 7)

≡ 36 (mod 7)

≡ 1 (mod 7)

Therefore, 46¹⁰ ≡ 1 (mod 7).

(ii) 345 mod 9:

We can use the property that \(a^{b+c} = (a^b)*(a^c)\) to simplify the exponent:

345 = (3100 + 410 + 5)

Therefore, we can break down 345 into its digits and calculate each digit modulo 9:

3100 mod 9 ≡ 0 (mod 9)

410 mod 9 ≡ 5 (mod 9)

5 mod 9 ≡ 5 (mod 9)

Then, we can use the property that (a+b) mod m = ((a mod m) + (b mod m)) mod m:

345 mod 9 ≡ (0 + 5 + 5) mod 9

≡ 10 mod 9

≡ 1 (mod 9)

Therefore, 345 mod 9 ≡ 1 (mod 9).

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Answer: The median is 5.

Step-by-step explanation: If you add all the numbers up, you get 40. There are 8 numbers, so 40 divided by 8 is 5.

Answer

The midpoint of AB is -4

Answer:

The equation in slope-intercept form is:

\(y=\frac{1}{3}x+3\)

So the second option is the correct one.

Step-by-step explanation:

Step 1: Identify the gradient

The perpendicular line's equation is given as:

\(y=-3x+4\)

This equation is in the form of:

\(y=mx+b\)

Upon comparing the \(x\) components of both equations, we get\(-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3\)

So, the gradient of this 'reference' equation is -3.

The equation we need to find is perpendicular to this 'reference' equation.

So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.

The negative reciprocal of -3 is:

\(-\frac{1}{(-3)}\\=\frac{1}{3}\)

So, the gradient of our equation is \(\frac{1}{3}\).

Step 2: Create the equation:

The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is \((-9,0)\).

The formula for an equation is:

\(y-y_{1}=m(x-x_{1})\)

The coordinate \((x_{1},y_{1})\) is \((-9,0)\), and the gradient (\(m\)) is \(\frac{1}{3}\).

Substitute the values into the equation:

\(y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)\)

\(\text{Simplify further}\\y=\frac{1}{3}x+3\)

Since, the slope-intercept form is:

\(y=mx+b\)

We already have our equation in the slope-intercept form.

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The sum of the interior angles of a polygon is obtained from the following equation.

\((n - 2) \times 180°\)

In which n is the number of sides of the polygon.

_________________________________

Thus ;

a ) 9 sides

Just need to put 9 instead of n in the above equation .

\((9 - 2) \times 180° = \)

\(7 \times 180° = \)

\(1260°\)

##############################

b ) 12 sides

Just need to put 12 instead of n in the above equation .

\((12 - 2) \times 180° = \)

\(10 \times 180° = \)

\(1800°\)

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

Step-by-step explanation:

Answer:

\( RT = \frac{ \sin(60 \degree) }{ \sqrt{3} } \\ RT = 0.5 \\ x = RT \tan(45 \degree) \\ x = 0.5 \times \tan(45 \degree) \\ x = 0.5 \: units\)

Answer:

the first angle is 180 - (90 + 60) = 30

second angle is 180 - (45 + 90) = 45

30 + 45 = 75

3\/- 75 = 4.217163327 units

Answer:

B

Step-by-step explanation:

Let's turn these fractions into decimals.

A: 1/3 = 0.333333......

B: 1/5 = 0.2

C: 1/7 = 0.142857143142....

D: 1/9 = 0.1111111.....

As you can see, the only decimal expansion that terminates, or has a finite number of digits after the decimal point, is 1/5.

The angle m∠B of the quadrilateral has a measure of 72°

The complete question is added as an attachment

For any quadrilateral, the sum of its four interior angles is equal to 360°,

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

17x + 5 + 13x + 7 + 118° + 80° = 360°

Evaluate the like terms

So, we have

30x + 210° = 360°

Subtract 210° from both sides

30x = 150°

So, we have

x = 5

Given that

B = 13x + 7

We have

B = 13 * 5 + 7

Evaluate

B = 72

Therefore, the measure for the angle m∠B is 72°

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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A) An algebraic expression that could be used to model the situation where a horse's weight decreases by ¹/₂ pounds weekly is w/r, where w is the total weight lost and r is the constant rate of weight loss.

B) Using division operation and decreasing rate, if a horse's weight decreases by ¹/₂ pounds weekly, it will take the horse 11 weeks to lose a total of 5¹/₂ pounds.

An algebraic expression combines constants, variables, and mathematical operations (+, -, ×, ÷) without the equal sign (=) found in equations.

While equations show the equality of expressions, algebraic expressions merely state values.

Division operation is one of the four basic mathematical expressions, including addition, subtraction, and multiplication.

Division operations involve the dividend, the divisor, the equal sign (=), the division operand (÷), and the result called the quotient.

The total weight loss over time = 5¹/₂ pounds

The constant rate of weight loss = ¹/₂ pounds per week

The number of weeks for the horse to lose 5¹/₂ pounds = 11 weeks (5¹/₂ ÷ ¹/₂).

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If the null hypothesis that two means are equal is true, 97% of the computed z values lie between 2.17.

Any variation between the selected characteristics that you observe in a set of data is thought to be the result of chance, according to the null hypothesis. For instance, any difference between the average earnings in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero. An assertion that there is no correlation between two population parameters is referred to as a null hypothesis. To prepare the ground for additional experimentation or research that explains the position of interest, researchers reject or refute the null hypothesis.

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The range of possible values for the third side of the triangle is d)6 < x < 26.

The third side of an acute triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides. By using the Pythagorean Theorem, we can find the range of possible values for the third side.

The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle equals the square of the hypotenuse. So, for this triangle, we have 10^2 + 16^2 = x^2.

Solve for x: x^2 = 256, so x = √256 = 16.

The third side must be shorter than the sum of the other two sides. So, the maximum value for x is 16 + 10 = 26.

The third side must be longer than the difference of the other two sides. So, the minimum value for x is 16 - 10 = 6.

Therefore, the range of possible values for the third side of the triangle is 6 < x < 26.

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

Which best describes the range of possible values for the third side of the triangle?

x < 12.5, x > 18.9

12.5 < x < 18.9

x < 6, x > 26

6 < x < 26

The value of x , given the angle and the lines drawn , would be 142 degrees .

The fact that a straight line was drawn such that x degrees and 38 degrees make up the angles of that line , means that the total angular measure would be 180 degrees because this is the angle of a straight line.

This therefore means that to find the value of x, the formula would be :

x = 180 - 38

x  = 180 - 38

x = 142 degrees

In conclusion, the value of x would be 142 degrees.

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Answer:

38 units

Step-by-step explanation:

13+13=26

6+6=12

26+12=38

The median for the given sample of data is A. 20.

To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.

Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25

There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.

The 6th value in the ordered list is 19.

Therefore, the median for this sample of data is A. 20.

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Answer:

whats the _?

Nvm you factorise the y(2x_3)

Answer:

1047.2 cubic inches

Step-by-step explanation:

V = 4(pi)(r³/3)

V = 4(pi)(125/3)

V = 523.6 cubic inches (1 ball)

V = 2(523.6) = 1047.2 cubic inches (total)

The value of h such that the matrix is the augmented matrix of a consistent linear system is 5.The augmented matrix of the second linear system is given below.[1 2 -4 | 3 h -12]In order to find the value of h such that the matrix is the augmented matrix of a consistent linear system, we need to perform row operations on the matrix to convert it to reduced row echelon form or row echelon form

Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.The augmented matrix for a system of linear equations will always have the same number of columns as the number of variables, plus one. The augmented matrix for a system of three variables, for example, would have four columns.The value of h such that the matrix is the augmented matrix of a consistent linear system is 5, which is the answer.Explanation:The augmented matrix of the linear system is given below.[ 6 4 h] [-3 -2 7]In order to find the value of h such that the matrix is the augmented matrix of a consistent linear system, we need to perform row operations on the matrix to convert it to reduced row echelon form or row echelon form.To do that, let us first write the matrix in augmented form as[ 6 4 h | -3 -2 7]Now, we can perform elementary row operations on the matrix to reduce it to row echelon form, which is given below.[ 1 2 h/2 | -1/2 -1/2 7/2]Next, we can further perform elementary row operations on the matrix to convert it into reduced row echelon form, which is given below.[ 1 0 h/2 - 5/6 | -1/6] [0 1 -5/2 + 5h/6 | 1/6]From the above row echelon form, we can see that the linear system is consistent for any value of h. Hence, there are infinite solutions for this linear system.

Therefore, the value of h such that the matrix is the augmented matrix of a consistent linear system is 5.The augmented matrix of the second linear system is given below.[1 2 -4 | 3 h -12]In order to find the value of h such that the matrix is the augmented matrix of a consistent linear system, we need to perform row operations on the matrix to convert it to reduced row echelon form or row echelon form.To do that, let us first write the matrix in augmented form as[1 2 -4 | 3 h -12]Now, we can perform elementary row operations on the matrix to reduce it to row echelon form, which is given below.[1 2 -4 | 3 h -12][0 1 2 | h -6] [0 0 1/2(h+3) | h+3]The above row echelon form shows that the system is consistent only when h is not equal to -3. When h = -3, the system becomes inconsistent.Therefore, the value of h such that the matrix is the augmented matrix of a consistent linear system is h ≠ -3.

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The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping

Let the number of hours babysitting would be x

And the number of hours landscaping would be y

Last week Aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134.

y = x + 2

7x + 8y = 134

Substitute the value of y = x + 2 in the equation,

7x + 8(x + 2) = 134

7x + 8x + 16 = 134

15x = 134 - 16

15x = 118

x = 118/15

x = 7.9

Substitute the value of x = 7.9 in the equation y = x + 2 ,

y = 7.9 + 2

y = 9.9

Therefore, the number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively

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Answer:

(x,y)=(10,8)

Step-by-step explanation:

Let x be hours worked babysitting and y be hours worked landscaping.

We would have our first equation, 7x+8y=134.

Knowing that she worked 2 more hours babysitting than landscaping, we can determine and replace the x variable as: x=y+2

7(y+2)+8y=134

Use the distributive property to multiply 7 by y+2.

7y+14+8y=134

Combine 7y and 8y to get 15y.

15y+14=134

Subtract 14 from both sides.

15y=134−14

Subtract 14 from 134 to get 120.

15y=120

Divide both sides by 15.

y=120/15​

Divide 120 by 15 to get 8.

y=8

and since she worked 2 more hours babysitting, x=10.

Let's replace our values in the original equation:

7x+8y=134

7(10)+8(8)=134.

70+64=134.

Therefore, we can conclude that Aisha worked 10 hours babysitting and 8 hours landscaping last week.

Hope this helped!

Answer:

I would say C not to sure tho

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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Therefore, the nth term of the arithmetic sequence is given by the formula an = 11n - 14.

Given a5 = 41 and a10 = 96, we need to find out the nth term of the arithmetic sequence.The nth term of an arithmetic sequence is given by the formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. To find the common difference, we use the formula: d = (an - a1) / (n - 1)We can find the value of d using a5 and a10.Using the formula,

d = (a10 - a5) / (10 - 5) = 55 / 5 = 11

We now have the value of d, which is 11. We can use this value to find a1.The formula for finding a1 is a1 = an - (n - 1)dUsing a5 and d, we get:

a1 = a5 - (5 - 1)d = 41 - 4(11) = -3

Using a1 and d, we can find the nth term of the sequence.Using the formula,

an = a1 + (n - 1)d, we get:an = -3 + (n - 1)11

Simplifying, we get:an = 11n - 14

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Answer:

it's true that when the civil war began, president Lincoln

We can use the fact that 1 foot is equal to 12 inches, and then convert it to inches first and then divide it by 12 inches/foot. So, 152 cm * 0.393701 inches/cm = 59.8425 inches = 4.986875 feet.

The unit of measurement "centimeter" and "feet" are used to measure length or distance. One centimeter is equal to 0.393701 inches, and one foot is equal to 12 inches. To convert from centimeters to feet, we need to know the conversion factor between the two units.

Alternatively, To convert from centimeters to feet, we multiply the number of centimeters by the conversion factor 0.0328084. So, to convert 152 cm to feet we can use the following calculation: 152 cm * 0.0328084 feet/cm = 4.99212 feet

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