every natural number is a whole number true or false​

Answer:

its A

Step-by-step explanation:

i just did this

Answer:

$10.50

Step-by-step explanation:

Let his hourly rate be represented by h

From the question,

30h + 1.4 (40 - 30)h = $462.00

30h + 1.4(10)h = $462.00

30h + 14h = $462.00

44h = $462.00

h = $462.00/44

h = $10.50

Therefore, Julio's hourly rate is $10.50

Answer:

Sum= addition

lets set the problem up like this

and let the first number equal A and the second number is B

This what we know:

14 = (a ) + 2(B)

A - B = 2

We need to find A and B

Step-by-step explanation:

Answer: 2 = x (21+22x = 5+30x)

Step-by-step explanation:

Answer:

8 minutes

Step-by-step explanation:

Since the level of the tank needs to be at two-thirds its original level, then this means that Andrew needs to drain only one-third of the fish tank. Therefore the amount of time it would take can easily be solved with this 2-step equation...

6t = 144 * [tex]\frac{1}{3}[/tex] .... first multiply the right side of the equation

6t = 48   ... next divide both sides by 6

t = 8

Finally, we can see that it will take Andrew 8 minutes to drain the tank to two-thirds of its original level.

The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.

The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.

a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.

c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.

d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.

In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.

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The man in a lighthouse tower 30 ft. high spots a ship at sea. The angle of depression from the man to the ship is 10°. How far is the ship from the base of the lighthouse?The problem involves an angle of depression, which is defined as the angle formed by a horizontal line and the line of sight that is directed downwards to an object.

A lighthouse tower is 30 feet tall. The line of sight from the man in the lighthouse to the ship forms an angle of depression of 10°.We can use trigonometry to solve for the distance between the lighthouse and the ship. We need to find the length of the side adjacent to the angle of depression. The distance we are looking for is the length of this adjacent side. So, we can use the tangent function to solve for the distance from the base of the lighthouse to the ship. The formula for tangent is tangent = opposite/adjacent. We know that the angle of depression is 10° and the opposite side is 30. The adjacent side is the distance we are trying to solve for.

tan θ = opposite/adjacent.  tan 10° = 30/adjacent0.1763 = 30/adjacent Adjacent = 30/0.1763Adjacent = 170.23 feet.

In this problem, we are given the height of the lighthouse, the angle of depression, and we are asked to find the distance between the ship and the base of the lighthouse. The first step is to draw a diagram of the situation. We can see that the line of sight from the man in the lighthouse to the ship forms an angle of depression of 10°.We know that the height of the lighthouse is 30 feet. We want to find the length of the side adjacent to the angle of depression, which is the distance we are looking for. To solve for this, we can use the tangent function.

The formula for tangent is tangent = opposite/adjacent. tan θ = opposite/adjacent tan 10° = 30/adjacent. We can cross-multiply and simplify the equation to solve for adjacent. adjacent = 30/tan 10°We can use a calculator to evaluate the tangent of 10°.tan 10° = 0.1763adjacent = 30/0.1763Adjacent = 170.23 feet .The ship is approximately 170.23 feet from the base of the lighthouse.

Therefore, we can conclude that the ship is approximately 170.23 feet from the base of the lighthouse.

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Answer:

2 gallons

Step-by-step explanation:

Answer:

2 gallons for 5.98$

Step-by-step explanation:

for two gallons.

1/4g milk = 12.92

1/2g milk= 8.36

1g milk= 8.50

Answer:

52.814 degrees

Step-by-step explanation:

we know that

we have

Convert 51'' to minutes

Convert 48.85' to degrees

Answer:

I don't know if I'm right but I looked it up and found the same picture and it said it was 120

Answer:

Step-by-step explanation:

[tex]\\Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(10,\:-14\right),\:\\\left(x_2,\:y_2\right)=\left(-16,\:-4\right)\\\\=\left(\frac{-16+10}{2},\:\frac{-4-14}{2}\right)\\\\=(\frac{-6}{2}, \frac{-18}{2}\\ \\Simplify\\\\=\left(-3,\:-9\right)[/tex]

Answer:

Michelle bought 2 hamburgers and 4 hot dogs

Step-by-step explanation:

As you've already implied, we will need a system of equations to find the amount of hot dogs and hamburgers Michelle bought.

First equation:  We can allow x to represent the number of hot dogs and y the number of hamburgers.  Since she bought 6 items altogether, our first equation is x + y = 6, since:

quantity of hot dogs + quantity of hamburgers = total amount of food

Second equation:  Since she spent $32 altogether, hot dogs cost $5, and hamburgers cost $6, our second equation is 5x + 6y = 32 since:

(price of hot dogs * quantity) + (price of hamburgers* quantity) = total cost.

Method to solve the system:  Substitution:  Isolate x in the first equation and plug it in for x in the second equation to solve for y:

If we isolate x in the first equation, we get x = -y + 6.  

Now we can plug in x = -y + 6 for x in the second equation to first solve for y, the number of hamburgers she bought:

5(-y + 6) + 6y = 32

-5y + 30 + 6y = 32

y + 30 = 32

y = 2

Plug in 2 for y in any of the two equations to solve for x:

We can now plug in 2 for y in the first equation to find x, the number of hot dogs she bought:

x + 2 = 6

x = 4

Thus, Michelle bought 2 hamburgers and 4 hot dogs.

Answer:

13.9

Step-by-step explanation:

The least squares method for multiple regression relies on several assumptions: Linearity, Independence, Homoscedasticity, No perfect multicollinearity.

Linearity: The relationship between the predictors (regressors) and the response variable is assumed to be linear.

Independence: The observations are assumed to be independent of each other. This means that the value of one observation does not influence the value of another observation.

Homoscedasticity: Homoscedasticity assumes that the variance of the errors (residuals) is constant across all levels of the predictors. In other words, the spread of the residuals should be roughly the same for all predicted values.

No perfect multicollinearity: Perfect multicollinearity refers to a situation where there is an exact linear relationship among the predictor variables. When two or more predictors are perfectly multicollinear, it means that one predictor can be expressed as a perfect linear combination of the others. Including two perfectly multicollinear regressors in a multiple regression model leads to problems because it becomes impossible to estimate unique regression coefficients for those predictors.

Including two perfectly multicollinear regressors in a multiple regression model creates a situation known as singularity or degeneracy. In such cases, the inverse of the matrix required for solving the normal equations (used in the least squares estimation) does not exist. Consequently, it becomes impossible to obtain unique estimates for the regression coefficients. This issue arises because the system of equations becomes underdetermined due to the redundant information provided by the multicollinear variables.

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Answer:

1

Step-by-step explanation:

Answer:

17.80"

Step-by-step explanation:

Weekly Rainfall total for September :

Week 1, 3.49″

Week 2, 1.73″

Week 3, 12.38″

Week 4, 0.21″

Rounding each week's total to the nearest tenth of an INCH before summing up:

WEEK 1 ; 3.50''

WEEK 2 ; 1.70"

WEEK 3 ; 12.40"

WEEK 4 ; 0.20"

TOTAL RAINFALL FOR SEPTEMBER :

(WEEK 1 + WEEK 2 + WEEK 3 + WEEK 4)

(3.50 + 1.70 + 12.40 + 0.20)

= 17.80"

Answer:

Yes, he will have $309 during the third week.

Step-by-step explanation:

The first week, he saved $70, then spent $7, subtracting to make $63 left. The next week, he saved $103, then spent $6, subtracting again to leave him with $97. $70 + $97 = $167, which is the current total amount he now has so far. Finally, with $150 earned the third week, but he spends $8 and has $142 leftover, $167 + $142 = $309. Meaning he will exceed by $9 more and will have enough money.

Answer:

She still has 304 miles left after traveling for 12 hours

Step-by-step explanation:

Here, we want to calculate the number of miles Johanna has left on her trip.

The equation linking the distance , speed and time is;

F(t) = 1084 -65t

Now, for t = 12, we simply make a direct substitution;

F(12) = 1084 - 65(12)

F(12) = 1084 - 780

F(12) = 304 miles

[tex]-2 = k+7\\-2-7 = k\\-9 = k\\[/tex]

Whenever you move from the left to right or right to left of any linear equations, you have to switch from plus to minus or multiply to division.

Answer:

k= -9

Step-by-step explanation:

-2= k+7

-k= 7+2

-k = 9

k = -9

Answer:

n=-4

Step-by-step explanation:

First, subtract 3n on both sides. This results in -3=n+1. Then, subtract 1 on both sides. The answer is n=-4.

Answer:

B

Step-by-step explanation:

We have the equation:

[tex]3n-3=4n+1[/tex]

Let's solve for n. To do so, we want to isolate it.

Let's use the subtraction property of equality to subtract 3n from both sides:

[tex](3n-3)-3n=(4n+1)-3n[/tex]

The left side will cancel...

[tex]-3=(4n+1)-3n[/tex]

Subtract on the right:

[tex]-3=1n+1[/tex]

Remember that 1n is the same as just n. So:

[tex]-3=n+1[/tex]

Now, let's use the subtraction property of equality again to subtract 1 from both sides:

[tex](-3)-1=(n+1)-1[/tex]

The right side will cancel. Subtract on the left:

[tex]-4=n[/tex]

Symmetric property:

[tex]n=-4[/tex]

So, our answer is B.

And we're done!

Answer:

Choice B

Step-by-step explanation:

For a triangle to be true, the longest side has to be shorter than the two shorter sides combined. The only answer that fits this is choice be. 70<40+60

Answer:

x<-1 so open circle going to the left

Answer: a11 + ( b11 + c11 ) = 0

Step-by-step explanation:

A, B, and C represent three matrices of the same size and (A + B) + C = 0.

Answer: 1800 Minutes

Step-by-step explanation: 360 x 5 = 1800

Answer:

1800 minutes

Step-by-step explanation:

360×5=1800 minutes.

To write x as the sum of two vectors, one in Span {u₁, u₂, u₃} and one in Span {u₄}, where {u₁, u₂, u₃, u₄} is an orthogonal basis for R⁴, we need to find the components of x that lie in each span.

The vector x can be expressed as a linear combination of u₁, u₂, u₃, and u₄, with the components found by projecting x onto each basis vector.

Given that {u₁, u₂, u₃, u₄} is an orthogonal basis for R⁴, we can express x as the sum of two vectors: one in Span {u₁, u₂, u₃} and one in Span {u₄}. Let's denote the components of x in each span as x₁ and x₂, respectively.

To find x₁, we project x onto the subspace spanned by {u₁, u₂, u₃}. Since {u₁, u₂, u₃} is an orthogonal basis, the projection of x onto each basis vector is given by the dot product of x with the respective basis vector divided by the norm of the basis vector squared. Therefore, we have:

x₁ = (x · u₁) / ||u₁||² + (x · u₂) / ||u₂||² + (x · u₃) / ||u₃||².

To find x₂, we project x onto the subspace spanned by {u₄}. Since u₄ is a basis vector, the projection of x onto u₄ is simply the dot product of x with u₄ divided by the norm of u₄ squared. Hence:

x₂ = (x · u₄) / ||u₄||².

Thus, the vector x can be written as the sum of the two vectors: x = x₁u₁ + x₂u₄. Substituting the given values for u₁, u₂, u₃, and u₄, and evaluating the dot products and norms, we can find the components x₁ and x₂, and express x as the desired sum.

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It will take approximately 11.9 years to triple the amount of the initial investment at an annual percentage rate of 6% compounded annually. This is calculated using the compound interest formula.

To calculate the duration required for your money to triple at an annual percentage rate of 6% compounded annually, you can use the formula for compound interest given as;

A = P(1 + r/n)^(nt),

Where; P is the principal amount, R is the annual interest rate, N is the number of times the interest is compounded per year, T is the time in years.

For this question,P = $1 (since we don't know the amount)

R = 6% = 0.06N = 1 (since the interest is compounded annually)

We want to know the time required (T) to get triple the amount of the initial amount.

This means that;

A = 3P

Therefore,

3P = P(1 + r/n)^(nt)

Dividing both sides of the equation by P,

3 = (1 + r/n)^(nt)

Since we want to calculate for time (T), we can use logarithms to solve.

Therefore, taking the natural logarithm of both sides of the equation,

ln(3) = ln(1 + r/n)^(nt)

Applying logarithmic laws,

ln(3) = nt ln(1 + r/n)

Solving for time (T),

T = ln(3)/(n ln(1 + r/n))

Substituting the values we have, we get;

T = ln(3)/(1 ln(1 + 0.06/1)) = ln(3)/ln(1.06) ≈ 11.9 years

It will take approximately 11.9 years to triple the amount of the initial investment at an annual percentage rate of 6% compounded annually. This is calculated using the compound interest formula.

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The 4x4 checkerboard matrix is constructed with alternating 1s and 0s based on the position of the elements. The basis for the nullspace of the checkerboard matrix is found, and its nullity and rank are determined. Additionally, the rank and nullity of a 17x17 checkerboard matrix are determined.

8.1 To construct the 4x4 checkerboard matrix, we assign values based on the parity of the row and column indices. If the sum of the row index (i) and column index (j) is even, the element (aij) is 1. Otherwise, if the sum is odd, the element is 0. The resulting 4x4 checkerboard matrix is:
A = |1 0 1 0|
|0 1 0 1|
|1 0 1 0|
|0 1 0 1|
8.2 to find the basis for the nullspace of A, we need to solve the equation Ax = 0, where x is a vector. By performing row operations on the matrix, we can bring it into row-echelon form:
|1 0 1 0|
|0 1 0 1|
|1 0 1 0|
|0 1 0 1|
Row 3 - Row 1:
|1 0 1 0|
|0 1 0 1|
|0 0 0 0|
|0 1 0 1|
Row 4 - Row 2:
|1 0 1 0|
|0 1 0 1|
|0 0 0 0|
|0 0 0 0|
The reduced row-echelon form shows that the last two rows are dependent on the first two rows. Therefore, the basis for the nullspace is the vector {(-1, 1, -1, 1)}. The nullity of A, which is the dimension of the nullspace, is 1.
The rank of A is the number of linearly independent rows, which in this case is 2.
8.3 The rank and nullity of the 17x17 checkerboard matrix can be determined using the same approach. Since the matrix is larger, it is not feasible to write it out here. However, we can observe a pattern based on the size of the matrix. For an n x n checkerboard matrix, if n is even, the rank will be n/2 and the nullity will also be n/2. If n is odd, the rank will be (n + 1)/2 and the nullity will be (n - 1)/2.
Therefore, for the 17x17 checkerboard matrix, the rank will be (17 + 1)/2 = 9, and the nullity will be (17 - 1)/2 = 8.
In summary, the basis for the nullspace of the 4x4 checkerboard matrix is {-1, 1, -1, 1}, resulting in a nullity of 1 and a rank of 2. For the 17x17 checkerboard matrix, the rank is 9, and the nullity is 8.

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Answer:

Point T = (4,9)

Step-by-step explanation:

Given:

S (−5,0)

M (10, 15)

m1:m2 = 3:2

Find:

Point T

Computation:

X = [m1x2 + m2x1] / [m1+m2]

Y = [m1y2 + m2y1] / [m1+m2]

X = [(3)(10) + (2)(-5)] / [3+2]

Y = [(3)(15) + (2)(0)] / [3+2]

X = 20 / 5 = 4

Y = 45 / 5 = 9

Point T = (4,9)

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary:

  x° +80° = 180°

  x° = 100° . . . . . . . subtract 80°

If the sum of two numbers is 48, we can call our numbers x and 48 - x.

Let's call our first number x and our second number 48 - x.

Now read through the rest of the problem.

The second, 48 - x, is, equals, 3 more than 4 times the first, 4x + 3.

So we have the equation 48 - x = 4x + 3.

Solving from here, we subtract 4x from both sides and we have 48 - 5x = 3.

Now subtract 48 from both sides and we have -45 = -5x.

Finally, divide both sides by -5 and remember that

a negative divided by a negative always equals a positive.

So we have 9 = x.

So our first number is x and our second is 48 - x or 48 - 9 which is 39.