Question 4
In order to solve the equation -3x - 6 = 5, the first step is to?

1) add 6 to both sides

2) divide by 5 on both sides

3) subtract 6 from both sides

04) multiply by 5 on both sides

Answer:

= -2.554

Step-by-step explanation:

BODMAS  Rule:

Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

-4/3 = -1.33333333333

-2/3 = -0.66666666666

-5/9 = -0.55555555555

-0.555+(-1.333)-0.666

= -2.554

Step-by-step explanation:

\( - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} \)

First deal with the bracket to get

\( - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} \)

Next, find the L.C.M which is 9

\( \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} \)

\( \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} \)

The probability of selecting a sample of 20 children and having exactly 3 children who are from multiple births is approximately 0.214

To calculate the probability of selecting a sample with exactly 3 children who are from multiple births, we need to use the binomial distribution formula

P(X = k) = C(n, k) × p^k × (1 - p)^(n - k)

where

X is the random variable representing the number of children from multiple births in the sample

k is the number of children from multiple births we are interested in (in this case, k = 3)

n is the sample size (in this case, n = 20)

p is the probability of selecting a child from a multiple birth (let's assume this is 0.03, or 3%, based on some statistics for multiple births in some regions).

C(n, k) is the number of ways to choose k children from a sample of n children, which is given by the binomial coefficient

C(n, k) = n! / (k! × (n - k)!)

Plugging in the values, we get:

P(X = 3) = C(20, 3) × 0.03^3 × (1 - 0.03)^(20 - 3)

= (20! / (3! × 17!)) × 0.03^3 × 0.97^17

≈ 0.214

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Answer:

gooOoOood laCCccckK

Answer:

thats really cool

Step-by-step explanation:

good luck :)

please give brainly

The expression which is an equivalent form of the expression (n)-³ is; 1/n³.

According.to the question;

In essence, the variable n is raised to a power of -3.

On this note, using the law of indices regarding negative power; we can conclude that;

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In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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Answer:

x =5

Step-by-step explanation:

Tangents from same external point have equal length.

KJ = LJ

4x - 1 = 2x + 9

Add 1 to both sides

4x = 2x + 9 + 1

4x  = 2x + 10

Subtract '2x' from both side

4x - 2x = 10

2x= 10

Divide both sides by 2

x = 10/2

x = 5

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

By definition:

- Reflection is a transformation in which an object is flipped.

- Dilation is a transformation in which the shape of the object does not change, but its size does.

- The Pre-Image is the object before the transformation and the Image is the object transformated.

- The rule for a reflection over the x-axis is the following:

- The rule of a dilation centered at the origin, with the scale factor

is the following:

Knowing the above, you can conclude that rule for the transformation given in the exercise, is:

Knowing that the Pre-Image is:

You get that the Image of that point is:

The answer is:

Answer:

5x • 8

Step-by-step explanation:

First you'd switch the numbers around so they can work together.

(3x+2x)(5+3)

Then you add them together.

5x • 8

This would be the equation simplified.

2h + 1 = 6 is the equation in terms of h given that Coach Scalf runs 6 miles which is one mile more than two times the distance her husband (h) runs. This can be obtained by converting the statements to algebraic equation.

Here in this question it is given that,

We have to find the equation of the distance ran by Coach Scalf in terms of the distance her husband (h) runs.

⇒ Distance ran by Coach Scalf = 6

Also, Distance ran by Coach Scalf  = one mile more than two times the distance her husband (h) runs

Distance ran by Coach Scalf = one mile more than 2h

Distance ran by Coach Scalf = 2h + 1

Equating both values we can write that,

6 = 2h + 1 ⇒ 2h + 1 = 6

Hence 2h + 1 = 6 is the equation in terms of h given that Coach Scalf runs 6 miles which is one mile more than two times the distance her husband (h) runs.

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Answer:

Step-by-step explanation:

The fraction of the female birds is:

Answer:

FH is the smallest side.

Step-by-step explanation:

This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.

That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.

You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.

So, FH is the smallest.

Answer:

A= -17

Step-by-step explanation:

A +-21 = -38

    +21     +21

-38+21= -17

A= -17

Answer:

a = -17

Step-by-step explanation:

To solve this, we need to get A alone:

A + -21 = -38

—- +21- +21

Remember, when you do something to one side, you need to do the same thing to the other side.

Now:

A = -17!

To check:

-17 + -21 = -38

Therefore, A = -17

Answer:

i think caiden will make it

Step-by-step explanation:

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

I think option D

if u want explanation feel free to ask

please give me brainliest

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

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Answer:

I think the answer is 832 but I'm not sure as I'm not the best at math.

Hope this helps anyhow! <33

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

There is no non-zero polynomial q(x) that satisfies the given congruence equation.To find a polynomial q(x) such that (a + bx)q(x) ≡ 1 (mod x^2 + 1), we need to find the inverse of (a + bx) modulo x^2 + 1.

Let's start by expanding the expression (a + bx)q(x) and setting it equal to 1:

(a + bx)q(x) = 1 (mod x^2 + 1)

Expanding the left side:

a^2 + 2abx + b^2x^2q(x) = 1 (mod x^2 + 1)

Next, let's rearrange the equation and group the terms with x^2:

b^2x^2q(x) + 2abx + (a^2 - 1) ≡ 0 (mod x^2 + 1)

To find the inverse of (a + bx) modulo x^2 + 1, we want to eliminate the term with x^2. Therefore, we need to set the coefficient of x^2 to 0.

b^2q(x) ≡ 0 (mod x^2 + 1)

From this equation, we can see that q(x) must be a multiple of x^2 + 1, which means q(x) = k(x^2 + 1) for some constant k.

Substituting q(x) = k(x^2 + 1) back into the rearranged equation, we get:

b^2k(x^2 + 1) + 2abx + (a^2 - 1) ≡ 0 (mod x^2 + 1)

Expanding and simplifying:

(b^2k)x^2 + (2ab)x + (b^2k + a^2 - 1) ≡ 0 (mod x^2 + 1)

To eliminate the x^2 term, we set the coefficient of x^2 equal to 0:

b^2k = 0

Since b^2 ≠ 0, this equation can only be satisfied if k = 0.

Therefore, the polynomial q(x) = 0 satisfies the equation (a + bx)q(x) ≡ 1 (mod x^2 + 1) over q.

In conclusion, there is no non-zero polynomial q(x) that satisfies the given congruence equation.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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None of the other options are equal to $1,136.42. Answer: $1,100.42

The amount of interest paid in the first year of a five-year amortization schedule is to be determined, given the following table for months 1 through 12, and the four options a.

$1,100. 42, b. $1,010. 16, c. $1,188. 34, and d. $1,241. 18 as possible answers to the question.

To determine the amount of interest paid in the first year of a five-year amortization schedule, we must first find the sum of the interest payments for the first twelve months.

Using the information given in the problem, the total amount of interest paid for the first year is calculated as follows:

Total interest paid in the first year = $99.03 + $97.73 + $96.42 + $95.10 + $93.78 + $92.44 + $91.09 + $89.73 + $88.36 + $86.98 + $85.58 + $84.18= $1,136.42

Therefore, after one year of payments, the total amount paid to interest is $1,136.42.

Therefore, the correct answer is option a. $1,100. 42.

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Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

107 \(m^{2}\)

Step-by-step explanation:

First we'll find the radius of the circle.

By Pythagoras, the red line across the rectangle will be

\(\sqrt{15^{2} +8^{2}\)

= \(\sqrt{225+64}\)

= \(\sqrt{289}\)

= \(17\)

So the radius will be half the diameter, 8.5 (m)

So the area of the whole circle will be π\(r^{2}\)=72.25π

Take away the area of the rectangle (15*8=120)

72.25π - 120

is 107 metres sq. to 3 sf

The area of the shaded region is approximately 106.195 square meters.

Here, we have,

To find the area of the shaded region, we first need to calculate the area of the rectangle and then subtract it from the area of the circle.

Area of the rectangle:

The area of a rectangle is given by the formula: Area = length * width

In this case, the length of the rectangle is 15m and the width is 8m.

Area of the rectangle = 15m * 8m = 120 square meters

Area of the circle:

The area of a circle is given by the formula: Area = π * radius²

Since the diameter of the circle is equal to the diagonal of the rectangle, we can find the radius by dividing the diameter by 2.

Let the diagonal of the rectangle (and diameter of the circle) be "d." Using the Pythagorean theorem, we can find the value of "d":

d² = length² + width²

d² = 15² + 8²

d² = 225 + 64

d² = 289

Taking the square root of both sides:

d = √289

d = 17m

Now, the radius of the circle (half of the diameter) is:

radius = 17m / 2 = 8.5m

Area of the circle = π * (8.5m)²

Area of the circle ≈ 226.195 square meters (rounded to 3 significant figures)

Area of the shaded region:

To find the area of the shaded region, we subtract the area of the rectangle from the area of the circle:

Shaded area = Area of the circle - Area of the rectangle

Shaded area ≈ 226.195 square meters - 120 square meters

Shaded area ≈ 106.195 square meters (rounded to 3 significant figures)

So, the area of the shaded region is approximately 106.195 square meters.

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Answer:

a.

Step-by-step explanation:

ME = 1/2mv² + mgh which is correct option(A)

Mechanical energy is defined as the sum of kinetic energy and potential energy.

Mechanical energy = 1/2mv² + mgh

Where, kinetic energy is 1/2mv² and potential energy is mgh

Hence, ME = 1/2mv² + mgh

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Three labeled points on the line are (-2, -2m), (0, 0), and (2, 2m), where m is the slope of the line.

A line passing through the origin but not contained in any of the three coordinate planes can be represented by the equation y = mx, where m is the slope of the line. Since the line passes through the origin, the y-intercept is 0.

To find labeled points on the line, we can choose different values for x and calculate the corresponding y-values using the equation y = mx. Let's choose three values for x: -2, 0, and 2.

For x = -2:

y = m(-2) = -2m

So, one labeled point on the line is (-2, -2m).

For x = 0:

y = m(0) = 0

Another labeled point on the line is (0, 0).

For x = 2:

y = m(2) = 2m

So, the third labeled point on the line is (2, 2m).

These three labeled points (-2, -2m), (0, 0), and (2, 2m) lie on the line passing through the origin, and they are not contained in any of the coordinate planes.

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