find the area of the region covered by points on the lines, x/a + y/b =1
where the sum of any lines intercepts on the coordinate axes is fixed and equal to c

Answer:

10

Step-by-step explanation:

360*2 = 720. That leaves 180 words.

360/2 = 180

half the words would take half the time

4/2 = 2

8+2 = 10

Answer:

C) x=35

Step-by-step explanation:

First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:

4x + 2(3x+5) = 360

By now using our linear equation skills, we get:

10x+10=360

10x=350

x=35

The degree amount of x for c) is 35 degrees.

C. Since the angles form a linear pair, their sum equals 180.

So, 2x + 3x + 5 = 180

x=35

D. Since the angles are verticle, they equal each other.

So, 3x + 5 = 5x -57

x=31

The perimeter of the composite figure would be = 21 (to the nearest tenth).

Perimeter is defined as the quantity that is used to evaluate the total length of the sides of an object.

From the given diagram, the composite figure is made up of 6 sides. The addition of these sides is the figures perimeter.

The sides of the composite figure are:

a = 6; b = 12; c = 9; d = 9; e = -9; f = -6.

The perimeter = a + b + c + d + e + f.

= 6 + 12 + 9 +9+ (-9) + (-6)

= 27 - 6

= 21 ( to the nearest tenth)

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One bagel costs 155 cents.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of one bagel

y = cost of one toast

z = cost of one muffin

If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.

2y + x = 3.15   ⇒   x = 3.15 - 2y     (equation 1)

If a bagel and a muffin costs $3.30, then x + z = 3.30.

x + z = 3.30     (equation 2)

Substitute equation 1 to equation 2.

x + z = 3.30     (equation 2)

3.15 - 2y + z = 3.30   ⇒   z = 0.15 + 2y      (equation 3)

If a piece of toast, two bagels, and three muffins costs $9.15, then

y + 2x + 3z = 9.15     (equation 4)

Substitute equations 1 and 3 to equation 4.

y + 2x + 3z = 9.15     (equation 4)

y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15

y + 6.30 - 4y + 0.45 + 6y = 9.15

3y = 2.4

y = 0.8

Substitute the value of y to equation 1.

x = 3.15 - 2y     (equation 1)

x = 3.15 - 2(0.8)

x = 1.55

Hence, the cost of one bagel is $1.55 or 155 cents.

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Answer:

first blank= 2

second blank= 3

Step-by-step explanation:

Answer:

900?

Step-by-step explanation:

.... self explanatory

Answer:

x < 7

Step-by-step explanation:

-8x + 40 > -16

-8x > -56

x < 7

Answer:

it hi

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

stop trying to cheat on a test

a =  £50

steps:

80% * a = £40

a = £40 ÷ 80%

a =  £50

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

$20 - (14/100 * $20) = $17.20

Step-by-step explanation:

The sale price can be calculated by multiplying the original price by the discount percentage (which is 14/100 since the price is discounted by 14 out of 100):

Sale price = Original price - Discount amount

= Original price - (Discount percentage * Original price)

= $20 - (14/100 * $20)

= $20 - $2.80

= $17.20

So, the expression that gives the sale price is:

$20 - (14/100 * $20) = $17.20

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Step-by-step explanation:

im lokking for a gf , i am 16

comment down

The exact length of the curve is approximately 0.7386.

We're given the equation of the curve as:

\(y = ln(1 - x²)\)

and the range of x values:

\(0 ≤ x ≤ 1/8\)

The exact length of the curve can be found by using the formula:

Length of curve

\(= ∫(a to b) √[1 + (dy/dx)²]dx\)

Here, a = 0 and b = 1/8

Also,

\(dy/dx = -2x/(1 - x²)\)

We can use this to find (dy/dx)²:

\((dy/dx)² = [(-2x)/(1 - x²)]²= 4x²/(1 - x²)²\)

Now, we can substitute these values in the formula for length:

Length of curve

= \(∫(a to b) √[1 + (dy/dx)²]dx\)

= \(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

This integral can be simplified using trigonometric substitution:

Let\(x = (1/2)tanθ\)

Then

\(dx = (1/2)sec²θ dθ\)

Also,

\(1 - x² = 1 - (1/4)tan²θ = 3/4sec²θ\)

So, the integral becomes:

\(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

=\(∫(0 to π/6) √[1 + 16/9 sin²θ] (1/2)sec²θ dθ\)

= \((1/2) ∫(0 to π/6) √[25 + 16 sin²θ]sec²θ dθ\)

This integral can be solved using the substitution

\(u = 5tanθ\)

Then

\(du/dθ = 5sec²θ and sin²θ = (u²/25) - 1\)

Substituting these values, we get:

Length of curve

\(= (1/2) ∫(0 to arctan(5/3)) √(u² + 16) du/5\)

\(= (1/10) ∫(0 to arctan(5/3)) √(u² + 16) du\)

Now, this integral can be simplified using the substitution

\(u = 4tanψ\)

Then

\(du/dψ = 4sec²ψ and u² + 16 = 16(sec²ψ + 1)\)

Substituting these values, we get:

Length of curve

= \((1/10) ∫(0 to arctan(5/3)) √(16(sec²ψ + 1)) (1/4)4sec²ψ dψ\)

= \((1/40) ∫(0 to arctan(5/3)) 8sec³ψ dψ= (1/5) [secψ tanψ]0toarctan(5/3)\)

= \((1/5) [5 sqrt(34) - 3]\)

≈ 0.7386

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Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):

One with r > 0: (3, 9π/4)

One with r < 0: (-3, 5π/4)

To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.

(b) To find two other pairs of polar coordinates of (2, -2π/3):

One with r > 0: (2, 4π/3)

One with r < 0: (-2, π/3)

To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.

(c) To find two other pairs of polar coordinates of (-2, π/6):

One with r > 0: (2, 7π/6)

One with r < 0: (-2, 19π/6)

To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.

Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x + 6 = 2(x + 3) - x

Step 2: Solve for x

Here we see that both sides are identical.

∴ our solution is all real numbers.

The matrix expression E(7B+A) is defined, and its resulting size is (1×3).

To determine whether the matrix expression E(7B+A) is defined, we need to check if the dimensions of the matrices align properly for matrix multiplication.
Given the sizes of the matrices:
A: 3×5
B: 3×1
C: 5×1
D: 1×5
E: 1×3
To multiply matrices, the number of columns in the first matrix must match the number of rows in the second matrix.
In this case, we have E(7B+A). The size of B is 3×1, and the size of A is 3×5. Since the number of columns in B matches the number of rows in A, we can multiply these matrices.
The resulting matrix will have the number of rows from E and the number of columns from A, which is 1×5.
Next, we have to multiply the resulting matrix (1×5) with 7B. The size of B is 3×1, and the number of columns in the resulting matrix (1×5) matches the number of rows in B, so we can proceed with the multiplication.
The resulting matrix will have the number of rows from the previous multiplication (1) and the number of columns from B (1), which is 1×1.
Finally, we add this resulting matrix (1×1) to the matrix E (1×3). The number of columns in the resulting matrix (1×1) matches the number of columns in E (1×3), so we can perform the addition.
The resulting matrix will have the same size as E, which is 1×3.
Therefore, the matrix expression E(7B+A) is defined, and its resulting size is (1×3).

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Answer:

Yes, No, Yes

Step-by-step explanation:

Yes for m/s which is meters per second.

No for min/ft which is reversed and should be feet per minute.

Yes for km/h which is kilometers per hour.

The correct unit for speed is distance per time.

Answer:

MPH

Step-by-step explanation:

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

Answer:

32.10

Step-by-step explanation:

25% of 62.80 is 15.70

62.80- 15.70 = 47.10

47.10- the 15 dollar giftard = 32.10

(Hope this helps! Please ask questions in the comments) :D

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

Additional requirements in figure :-

Mark point :-

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

✿Now let the left angle be x

we know :

Area of rectangle = Length × Breadth

STEPS :

Now let's find EF :

To find A

F :

In triangle AFE:

We know :

Area of triangle =( Height × Base)/2

Steps :

To find area of figure :

______________________

~WindyMint

Answer:

\(\displaystyle 62\:in.^2\)

Step-by-step explanation:

▽ \(\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A\)

▯ \(\displaystyle hb = A\)

All edges meet at right angles, therefore resulting in this:

\(\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}\)

I am joyous to assist you at any time.

Answer:

x = 30

Step-by-step explanation:

5/6x- 1/5x =19

Get a common denominator of 30

5/6x * 5/5  - 1/5x * 6/6 = 19

25/30x - 6/30x = 19

19/30x = 19

Multiply each side by 30/19

19/30x * 30/19  = 30/19 * 19

x = 30

Answer:

5/6x- 1/5x =19

5/6x- 1/5x =19

?/30x=19

19/30x = 19

x = 19 / 19/30

x = 19 * 30/19

x = 30

We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.

Given T test of significance has been used.

T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.

We know that there are many test which can be used to test a hypothesis.

The requirements to perform a two sample t procedure are as follows:

1)The two samples have equal variance. Hence the variance should be known.

2) The samples for which the two sample t procedure is performed must be independent.

3) The data are in alignment with the normal distribution probability.

4) The sample are random samples taken from different respective population.

Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.

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