Find any points on the hyperboloid x² - y² - z² = 4 where the tangent plane is parallel to the plane z = 8x + 8y. (If an answer does not exist, enter DNE.) (x, y, z) =

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

$7.50

Step-by-step explanation:

Have a good day

Answer: The unit rate =  3 miles per inch.

Step-by-step explanation:

Given: Distance on map = \(5\dfrac12\) inches \(=\dfrac{11}{2}\) inches

Actual distance = \(16\dfrac12\)  miles \(=\dfrac{33}{2}\) miles

That means 1 inch on map = \(\dfrac{\dfrac{33}{2}}{\dfrac{11}{2}}\ miles\)

\(=\dfrac{33}{2}\ miles\)

\(=3\ miles\)

Hence, the unit rate =  3 miles per inch.

Answer: ruler

Step-by-step explanation:

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

x>6

Step-by-step explanation:

answer is above

Answer:

x>6

Step-by-step explanation:

3x/2 - 2 > 7

+2>+2

3x/2>9

2(3x/2)>(9)2

3x>18

3x/3>18/3

x>6

The most general antiderivative of f(x) = (5/2)sqrt(x) + 2sec^2(x) is:

F(x) = (5/3)x^(3/2) + 2tan(x) + C

To find the most general antiderivative of the function f(x) = (5/2)sqrt(x) + 2sec^2(x), we can integrate each term separately.

The antiderivative of (5/2)sqrt(x) can be found using the power rule of integration. We add 1 to the exponent (1/2) and divide by the new exponent:

∫(5/2)sqrt(x) dx = (5/2) * (2/3)x^(3/2) + C = (5/3)x^(3/2) + C

The antiderivative of 2sec^2(x) can be found using the integral of the secant squared function, which is the tangent function:

∫2sec^2(x) dx = 2tan(x) + C

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The equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

According to the question,

We have the following information:

The line passes through the point (18,-3) with slope -1.

We know that the following formula is used to find the equation of the line passing through a point with the slope which is denoted by m:

(y-y') = m(x-x')

In this case, we have the following values:

m = -1

x' = 18 and y' = -3

Putting these values in the above formula:

y-(-3) = -1(x-18)

y+3 = -x+18

Subtracting 3 from both sides of the equation:

y = -x+18-3

y = -x+15

Hence, the equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

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On the number line after 10 moves frog is at the integer -96.

Given that, a frog starts at 0 on a number line.

It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).

It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).

It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).

It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).

It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).

Hence, on the number line after 10 moves frog is at the integer -96.

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Answer:

Step-by-step explanation:

let's assume the quota is 1

1=the time each machine takes to fill the quota thus;

1=5hrs what about 1hr=1/5

1=6hrs what about 1hr =1/6

1=7.5hr what about 1hr =2/15

add: 1/5+1/6+2/15=1/2 reciprocate

=2hrs

Answer:

the Pulaski County Ferris wheel

Step-by-step explanation:

PLATO

Answer:

5

Step-by-step explanation:

50/5=10

therefore 5 is your answer

Answer:5

Step-by-step explanation:

Answer:

7 students have neither blue nor brown hair.

Step-by-step explanation:

Answer:

R17.98

Step-by-step explanation:

Required in the recipe = 250 g Fat free cottage cheese ;

125 g Fat free cottage cheese = R8.99

For 250g Fat free cottage cheese ; 250 / 125 = 2 125 g fat free cottage cheese is required ;

1 125 g Fat free cheese =. R8. 99

2 125g fat free cottage cheese =. R8. 99 * 2

R8. 99 * 2 = R17.98

Answer:

x^4 - x^3 + 2x -6

Step-by-step explanation:

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

Step-by-step explanation:

x^4-3x^2+5x-7 – x^3-3x^2+3x-1

x^4-3x^2+5x-7 – x^3+3x^2-3x+1

x^4-3x^2+3x^2-3x +5x -x^3 -7+1

x^4+2x -x^3 -6

x^4-x^3+2x-6

Step-by-step explanation:

supplement means their addition is equal to 180°

since m<x and m<y are supplement then m<x+m<y=180

and <y supplement to <z (their addition equals to 180°)

since m<y and m<z are supplement then m<y+m<z=180

m<x+m<y= m<y+m<z

m<y cancelled

m<x= m<z

_________________

FOR EXAMPLE

Given that <x and <y are supplement

and <y and <z are supplement

if <x= 45°

that means that <y = 135°

so that <x +<y = 180°

45+135= 180 ✓

and <y and <z are supplement

m<y+ m<z = 180°

then m<z= 45°

m<x+m<y= m<y+m<z

m<x +135= 135+m<z

then m<x= m<z = 45°

Answer:

angle ABD =55 degree

angle BCD= 125 degree

Step-by-step explanation:

angle ABD and angle DBC are supplementary angles.

Hence, angle ABD +angle DBC = 180 --equation 1

angle ABD = (2x+15) ---equation 2

angle BCD = (4x+45) ------equation 3

ABD+DBC=180

(2x+15) + ( 4x+45 ) = 180

2x+4x+15+45=180

6x+60=180

6x=180-60

6x=120

x=120/6=20

angle ABD= 2x+15= 2(20) +15

                              =40+15= 55 degree

angle BCD= 4x+45 = 4(20) +45

                                = 80+45= 125 degree

Hence, angle ABD =55 degree

            angle BCD= 125 degree

Hope this helps.

Answer: y=  2/3 + -8

Step-by-step explanation: Put into slope intercept form

The  equation of the line with a slope of 2/3  and y -intercept of -8 is y = 2/3 x -

8

The slope intercept equation is represented as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

The equation of the line has a slope(m) of 2 / 3 and y-intercept of  -8.

The equation can be represented as follows:

y = 2/3 x - 8

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According to the question Joe's hypothesis can be stated as follows H0: μ ≤ 568 (Null hypothesis) , H1: μ > 568 (Alternative hypothesis)

Joe's hypothesis can be stated as follows H0: The population mean (μ) of the elite school students is less than or equal to 568. H1: The population mean (μ) of the elite school students is greater than 568.To test this hypothesis, Joe would typically collect a sample from the elite school students and calculate the sample mean.

He can then compare this sample mean to the hypothesized population mean of 568. If the sample mean is significantly higher than 568, Joe would have evidence to support his hypothesis that the elite school students score higher than the general population.

To make a conclusive decision, Joe would perform a statistical test, such as a t-test or z-test, and calculate the p-value associated with the observed sample mean. If the p-value is below a predetermined significance level (e.g., 0.05), Joe can reject the null hypothesis and conclude that the elite school students score higher than the general population.

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The symbol ∼ denotes similarity, that is, the triangles ABC and XYZ are similar. When two triangles are similar, they have the same shape but not necessarily the same size and their corresponding angles are the same. In turn, the corresponding sides of two corresponding triangles are in the same ratio. Graphically,

So to find x in the small triangle, you have

Finally, to find b in the large triangle, you have

Therefore, the lengths of the sides x and b are

Answer:

10 kg

Step-by-step explanation

Explanation:

Kinetic Energy = 1/2 * M (V square )

M is mass and V is velocity of the ball

500J = 1/2 *M *( 10)*(10)

M = 10 kg

Answer:

10 kg

Step-by-step explanation:

Formula for the kinetic energy:

½mv²

Find the mass:

= ½ × m × 10² = 500 joules

= 50 × m

m = 500 ÷ 50

m = 10 kg

The answer is 10 kg.

On the given number line, we can locate the values as follows:

The value square root of 11 lies between points C and B.

The value square root of 8 lies between points B and A.

The value twenty two ninths lies between points A and B.

To locate the values square root of 11, square root of 8, and twenty two ninths on the number line, we need to use their approximate decimal values and compare them to the labeled points A, B, and C.

The approximate decimal values of the given numbers are:

Square root of 11 ≈ 3.32

Square root of 8 ≈ 2.83

Twenty two ninths ≈ 2.44

We can see that the value square root of 11 is greater than point C (3.3) and less than point B (2.8), so it lies between these two points.

The value square root of 8 is greater than point B (2.8) and less than point A (2.4), so it lies between these two points.

The value twenty two ninths is greater than point A (2.4) and less than point B (2.8), so it lies between these two points.

Therefore, on the given number line, we can locate the values as follows:

The value square root of 11 lies between points C and B.

The value square root of 8 lies between points B and A.

The value twenty two ninths lies between points A and B.

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The simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

The given expression is the sum of (2 - 1) from i = -1 to n, where n = 1. Therefore, the expression can be simplified as follows:

∑+1=−1 (2 − 1) = (2 - 1) + (2 - 1) = 1 + 1 = 2

In this case, the value of n is 1, which means that the summation will only be performed for i = -1. The expression inside the summation is (2 - 1), which equals 1. Thus, the summation is equal to 1.

Adding 1 to the result of the summation gives:

∑+1=−1 (2 − 1) + 1 = 1 + 1 = 2

Therefore, the simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

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Answer:

= -112adkn

Step-by-step explanation:

hope it can help brainless me please thanks

Answer:

\(volume = 653.71 {cm}^{3} \)

Step-by-step explanation:

Volume = πr^2h

=

\( \frac{22}{7} \times {4}^{2} \times 13 \: c {m}^{3} \)

= 22*16*13/7 cm^3

= 653.714cm^3

Rounding off = 653.71 cm^3

Answer:

653.45

Step-by-step explanation:

it told me the answer

Therefore , the solution of the given problem of combination comes out to be  5 different ways to make pizza.

Combinations are mathematical operations that count all potential arrangements from a collection of elements, where the direction of selection is irrelevant. You can choose any combination of the pieces in any order. It is possible to combine permutations and combinations.

Here,

Given :

The number of topping provide as

=> n= 5

the number of topping selected as

=> r =4

Applying combination formula,

=> nCr

=> 5C4

=> 5! /4!*1!

=> 5

Thus , there are 5 different ways to make pizza.

Therefore , the solution of the given problem of combination comes out to be  5 different ways to make pizza.

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Answer:

8yz+xy

like terms and then solve it

The simplified expression is xy + 8yz

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

3xy+5yz-2xy +3yz

Now,

=3xy - 2xy + 5yz+ 3yz

=xy + 8yz

Hence, the simplifies expression is xy + 8yz.

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Step-by-step explanation:

Step-by-step explanation:

The general equation for a circle is

\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

\( {x}^{2} + {y}^{2} = {( \sqrt{ {4}^{2} + {4}^{2} } )}^{2} = 32\)

Answer:

the radius of curvature, R, is the reciprocal of the curvature.