Which equation represents a horizontal line? A. y= -x B. x= y
C. y= 12 D. x= 12

Answer:

D.134

Step-by-step explanation:

Remember that a line is infinite, it has no endpoints. The image below shows a representation of this line.

The arrows indicate that the line extends infinitely.

A ray is half a line, that is, it has one endpoint and one infinite extend.

A segment is a portion of a line, it has two endpoints, it's not infinite.

There you have it, each representation with the proper notation.

A description that best compare the graph of the functions is: B. the line for function A is steeper.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of function B;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 + 2)/(3 - 0)

Slope (m) B = 1/3.

At data point (0, -1) and a slope of 1/3, function B can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 1 = 1/3(x - 0)

y = 1/3(x) - 1

In conclusion, the line for function A is steeper because it has a greater slope than function B i.e 3 > 1/3.

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4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

Step-by-step explanation:

A polynomial is an expression of the form:

a_n x^n + a_{n-1} x^{n-1} + ... + a_2 x^2 + a_1 x + a_0

where a_n, a_{n-1}, ..., a_1, a_0 are constants, x is a variable, and n is a non-negative integer called the degree of the polynomial.

The degree of a polynomial is the highest power of x that appears in the polynomial. For example, the polynomial 3x^4 - 2x^2 + 5 has a degree of 4.

The number of terms in a polynomial is the number of individual expressions that are added or subtracted together to form the polynomial. For example, the polynomial 3x^4 - 2x^2 + 5 has three terms.

Polynomials can be classified by both degree and number of terms. Here are some examples:

Monomial: A polynomial with one term, such as 5x^3 or -2y.

Binomial: A polynomial with two terms, such as 4x^2 - 3x or 2a + b^2.

Trinomial: A polynomial with three terms, such as 2x^3 - 5x^2 + 3x or x^2 - 2xy + y^2.

Quadratic: A polynomial of degree 2, such as 3x^2 - 2x + 1 or ax^2 + bx + c.

Cubic: A polynomial of degree 3, such as 2x^3 - 3x^2 + x + 5 or px^3 + qx^2 + rx + s.

Quartic: A polynomial of degree 4, such as 4x^4 - 5x^3 + 2x^2 - x + 3 or a_4x^4 + a_3x^3 + a_2x^2 + a_1x + a_0.

And so on, for higher-degree polynomials.

We have to calculate the volume of the pyramid with the following dimensions:

We can express and calculate the volume as:

Answer: the volume is 128 dm³

Answer: Slope:5/3

Y-intercept: y=1.67x+-4

Step-by-step explanation:

Slope:

Take two points and put it in for m=y2-y1/x2-x1

we can use (0,-4) and (3,1)

m=1--4/3-0

m=5/3

m=1.67

Then we use m in y intercept and use the first point as b

y = mx + b

y=1.67x+b

-4 = 1.67(0) + b

-4 = 0 + b

-4 = b

b = -4

y = 1.67x + -4

Y intercept: y = 1.67x + -4

Slope: 5/3

Good luck

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:I think i remember this i think is A.

Step-by-step explanation:

The value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We are given that tan θ = -1, and we need to find the value of sec θ in the interval 3π/2 < θ < 2π.

Since tan θ = -1, we know that θ is in the third quadrant, where both x and y coordinates are negative. In the third quadrant, the reference angle for θ is π - θ, so we have:

tan θ = -1 = tan(-π/4)

π/4 = π - θ

θ = 3π/4

Now, we can use the fact that sec θ is the reciprocal of cos θ, and find cos θ in the third quadrant.

In the third quadrant, cos θ is negative. We can use the Pythagorean identity to find cos θ:

sin²θ + cos²θ = 1

Since sin θ is positive and we know that θ is in the third quadrant, we have:

sin θ = -√(1 - cos²θ)

tan θ = sin θ/cos θ = -1

Substituting sin θ and simplifying, we get:

-√(1 - cos² θ)/cos θ = -1

√(1 - cos² θ) = cos θ

Squaring both sides:

1 - cos²θ = cos²θ

2cos²θ = 1

cos²θ = 1/2

cos θ = -√2/2 (since θ is in the third quadrant)

Finally, we can find sec θ:

sec θ = 1/cos θ = -√2

Therefore, the value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

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Answer:

t = 6.8

Explanation:

We know that A is at 1, B is at 10, so that is where we place those two.

First, we need to know what 2/3 of 10 is because the distance between A and B is 10.

Solving 2/3 of 10:

_____________________

- Divide 10 by the denominator, 3

         10 ÷ 3 = 3.3333......

- Multiply 3.3333..... by 2

         3.3333..... x 2 = 6.6666666666667

            or about 6.8 if we round up, which is prefered in these scenarios

Now that we know what 2/3 of 10 is, we can use that number as where to put it on the number line.

So t = 6.8

Hope this helps :)

Answer:

r = 16.5

Step-by-step explanation:

Move the subtraction over to the over side first

0.1r - 1 = 0.65

It becomes addition on the right side

0.1r = 0.65 + 1

Move the multiplication over to the over side first

0.1r = 1.65

It becomes division on the right side

r = 1.65 / 0.1

r = 16.5

Answer:0.1r-1=0.65  (85% sure this is the answer

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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Answer:

One helpful technique I used to stay focused is to buy a pack of m&ms or mini  candies and every time I complete a problem I eat one candy or m&m. Also, try making a goal for yourself for example "my goal is to complete 100 problems in an hour"

Step-by-step explanation:

I hope this helps

message me with any more questions u have

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

220 adults and 250 children

Step-by-step explanation:

we require to set up 2 equations and solve simultaneously.

let a be the number of adults and c the number of children , then

a + c = 470 → (1) based on number of people

3a + c = 910 → (2) based on ticket sales

subtract (1) from (2) term by term to eliminate c

(3a - a) + (c - c) = 910 - 470

2a + 0 = 440

2a = 440 ( divide both sides by 2 )

a = 220

substitute a = 220 into (1) and solve for c

220 + c = 470 ( subtract 220 from both sides )

c = 250

that is 220 adults and 250 children attended

Answer:

1. 7:20hrs round to 7 hours (1 hour =60 minuite, and 20 is less than half of 60)

2. All numbers when divide by 1 is equal to itself (you can try with any number)

3. 9365<9635

the the second digit of 9635 is 6

the the second digit of 9365 is 3

Thus 9635 is greater

Brainliest please~

Answer:

d

Step-by-step explanation:

Which ordered pair comes from the table?

Answer:

-3.1

Step-by-step explanation:

\(a=-1/4=-0.25\\\\-0.5(3a+4)+1.9a-1=\\\\-0.5(3*-0.25+4)+1.9*(-0.25)-1=\\-0.5(-0.75+4)+1.9*(-0.25)-1=\\-0.5(3.25)+1.9*(-0.25)-1=\\-1.625+1.9*(-0.25)-1=\\-1.625-0.475-1=\\-2.1-1=\\-3.1\)

Answer:

25 + 12.5v ≤ 170

Step-by-step explanation:

Answer:

i doesn,t understand this language

Answer:

  B.  NB and DH

  B.  converse of corresponding angles theorem

Step-by-step explanation:

The transversal in this geometry is line BH. The angles marked 36° are on the same side of the transversal, and on the same sides of the intersecting lines NB and DH. That makes these congruent angles "corresponding" angles.

Segments NB and DH are parallel by the converse of the corresponding angles postulate.

__

Additional comment

The corresponding angles postulate tells you corresponding angles are congruent where a transversal crosses parallel lines. Its converse tells you the lines are parallel if the corresponding angles are congruent.

Corresponding angles lie in the same direction from the vertex where the transversal meets one of the parallel lines. Here, the angles are "northwest" of the vertex.

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

Number 2

Step-by-step explanation: