distributive property 3x(7x+6)

Step-by-step explanation:

Hope this helps you......

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Answer:

Breadth = 9 cm

Explanation:

area of the square:

→ 12²

→ 144 cm²

use the formula to find area of rectangle:

using the formula:

→ length * breath = 144

→ 16 * breadth = 144

→ breadth = 144/ 6

→ breadth = 9 cm

Answer:

D. 9 in

Step-by-step explanation:

The volume of a sphere is given by the formula\(\bold{ V = \frac{4}{3} \pi r^3}\) where r is the radius of the sphere.

In this case, we know that the volume is\( 972\pi\) cubic inches.

Substituting this into the formula, we get:

\(972\pi = \frac{4}{3} \pi r^3\)

Dividing both sides by π, we get:

\(972 = \frac{4}{3} r^3\)

Multiplying both sides by \(\frac{3}{4}\), we get:

\(729 = r^3\)

Taking the cube root of both sides, we get:

r = 9

Therefore, the radius of the sphere is 9 inches.

Over the life of the loan, you will pay a total of $7,195.20 in interest.

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

Monthly Payment = Loan Amount × [Interest Rate / (1 - (1 + Interest Rate) ^-Term)]

Plugging in the values provided, you get:

Monthly Payment = 23,215 × [0.0499 / (1 - (1 + 0.0499) ^-60)]

Monthly Payment = $451.02

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment × Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid = (451.02 × 60) - 23,215

Total Interest Paid = $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

What is payment?

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

\(Monthly \: Payment \: Loan \: Amount × \: [Interest \: Rate \: / \: (1 - (1 + \: Interest \: Rate) ^{-Term})]\)

Plugging in the values provided, you get:

Monthly Payment \(23,215 [0.0499/(1 - (1+ = 0.0499) ^{-60})]\)

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid (451.0260) - 23,215

= Total Interest Paid $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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The term refers to a thorough count, often known as a comprehensive enumeration.

Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.

A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.

The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.

The correct answer is option C. A study of the durability of earthquake-proof building materials.

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Answer:

(x-27)(x+4) = 0

Step-by-step explanation:

I think you have a typo, and meant

x^2 -23x-108

what are two factors of 108 that differ by 23?

x^2 -24x-108 does not factor with rational coefficients.

Answer:

\(\large \boxed{\sf \ \ v_0=32 \ \ }\)

Step-by-step explanation:

Hello,

The equation is

\(y=f(x)=-16x^2+v_0 \cdot x\)

The ball hits the ground 2 seconds after the player kicks it, it means that f(2)=0.

We need to find \(v_0\)  such that f(2)=0.

\(f(2)=-16\cdot 2^2+v_0 \cdot 2=-64+2v_0=0\\\\\text{*** add 64 to both sides ***}\\\\2v_0=64\\\\\text{*** divide by 2 both sides ***} \\\\v_0=\dfrac{64}{2}=32\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

v0 = 32 ft/s

Step-by-step explanation:

Answer:

I really hope it's right!

Step-by-step explanation:

here,

midpoint of line segment LP

=( X1 +X2÷2 , Y1 + Y2÷ 2)

=(4+0÷2 , 2+2 ÷2)

=(4÷2 ,4÷2)

=(2,2)

Therefore the midpoint of segment LP with L (4,2) and P (0,2) = (2 ,2).

Answer:

So 1/4th cup would be 97.5 calories

1 whole cup would make 390 calories so then just divide that by 4 and you have 97.5

Answer:

  41/56

Step-by-step explanation:

The LCD is 7×4 = 28. With that denominator, the two fractions are ...

  5/7 = 20/28

  3/4 = 21/28

The average of the two values will be ...

  (5/7 +3/4)//2 = (20 +21)/28/2 = 41/56

_____

Additional comment

  5/7 ≈ 0.714285... (6-digit repeat)

  3/4 = 0.75

Then numbers like 0.72 = 18/25, or 0.73 = 73/100, or 0.74 = 37/50 will all be between the given fractions.

Of course, any terminating or repeating decimal in that range will also be a rational number. For example, 0.727272727272... = 8/11  will be a rational number in the required range.

Tan (angle) = 1.793/1.742 ==> angle = Tan^-1(1.793/1.742) = 0.7998 radians

Arc lenght = radius * angle in radians = 2.5 * 0.7998 = 1.9995

Answers:

0.7998 radians (approx.0.8 radians)

1.9995 Km (approx/ 2 km)

Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

Answer:

x = 42 - 4

x = 38

Step-by-step explanation:

Given that :

Initial number of plane models = x

Number of additional models built = 4

Total number of planes = 42

Total = initial amount + additional amount

42 = x + 4

Make x the subject

42 - 4 = x + 4 - 4

x = 42 - 4

X + 4 = 42

X = 42 - 4

X = 38

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals.

An example of an irrational number is pie because it is a infinite number

Answer:

since 'rational' numbers can be written as a ratio, such as a/b, then 'irrational' numbers cannot be written that way.

Step-by-step explanation:

since 'rational' numbers can be written as a ratio, such as a/b, then 'irrational' numbers cannot be written that way.

Square roots of non-perfect squares are irrational numbers because they are non-terminating, non-repeating decimals.

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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Answer:

Step-by-step explanation:

This may be confusing but bear with me

20=(x+17+22+18+21)/5 is our equation because

20 is our mean and we are adding all of our values and diving by how many values we have. we have 5 values

we multiply 5 by 20 to cancel the dividing 5 on the right so

100=x+17+22+18+21

To make this simpler we can add all of the values (except x) so

100=x+78

lets subtract 78 from 100

22=x or x=22

I hope this helped

Solution:

Given:

To find f(g(x)):

Therefore, f(g(x)) = 3x + 5

To find g(f(x)):

Therefore, g(f(x)) = 3x + 1

Simplifying, the exponents expression, we have 63y/xu⁴

Exponents are the powers to which a particular number is raised.

Given the expression 3y⁻⁴ . 3y⁵x⁸u⁻⁵.7x⁻⁹. To simplify the expression, we use the product rule of exponents which states that for a given base x, xᵃ xᵇ = xᵃ⁺ᵇ.

So, applying this rule to the expression and collecting common bases, we have that

3y⁻⁴ . 3y⁵x⁸u⁻⁵u.7x⁻⁹ = 3y⁻⁴ × 3y⁵ × x⁸ × 7x⁻⁹ × u⁻⁵ × u

= 3 × 3 × y⁻⁴ × y⁵ × 7 × x⁸ × x⁻⁹ × u⁻⁵ × u

Applying the product rule, we have that

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁺(⁻⁹) × u⁻⁵ ⁺ ¹

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁻ ⁹ × u⁻⁵ ⁺ ¹

= 3 × 3 × y × 7 × x⁻¹ × u⁻⁴

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

Using the reciprocal rule that x⁻ⁿ = 1/xⁿ, we have that

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

= 63 × y × 1/x × 1/u⁴

= 63y/xu⁴

So, simplifying, we have 63y/xu⁴

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Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:D

Step-by-step explanation:

please mark brainliest

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

B. 51.6

Step-by-step explanation:

All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...

Answer:

B. one

Step-by-step explanation:

y = x² + 4                            y = 4x

x^2 + 4 = 4x

x^2 - 4x + 4 = 0

This is a quadratic equation in x, which can be factored as:

(x - 2)^2 = 0

The only solution to this equation is x = 2. Substituting this value of x into either of the original equations, we get y = 8.

So, there is only one real solution to the system of equations, which is (2, 8).

\( \Large{\boxed{\sf Option \: B \text{:} \: One}} \)

\( \\ \)

Given system of equations:

\( \begin{cases} \sf y &=\sf x^2 + 4 \\ \sf y &=\sf 4x \end{cases} \)

\( \\ \)

We notice that both 'x² + 4' and '4x' are equal to y, which means that we can write the following equality:

\( \sf x^2 + 4 = 4x \)

\( \\ \)

Subtracting 4x from both sides, we get:

\( \sf x^2 + 4 - 4x = 4x - 4x \\ \\ \\ \sf x^2 - 4x + 4 = 0 \)

\( \\ \)

This is a quadratic equation, which means that it can be written as ax² + bx + c = 0, with a ≠ 0.

\( \\ \)

The number of real solutions a quadratic equation has is determined by the value of its discriminant, D.

\( \\ \\ \)

\( \\ \\ \)

The discriminant of a quadratic equation is calculated as follows:

\( \sf D = b^2 - 4ac \)

\( \\ \)

Now, we have to determine the coefficients a, b, and c.

\( \sf x^2 - 4x + 4 = 0 \Longleftrightarrow \overbrace{\sf 1}^{a}x^2 + \underbrace{(\sf-4)}_{b} x + \overbrace{\sf 4}^{c} = 0 \)

\( \\ \)

Use these values to find the value of the discriminant:

\( \sf D = (-4)^2 - 4(1)(4) = 16 - 16 = \boxed{\sf 0} \)

\( \\ \)

Since D = 0, the system of equations has one real solution.

\( \\ \\ \\ \)

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Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

sin -1/2   cos sqrt3/2

Step-by-step explanation:

UNIT CIRCLE

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

x=6.5

Step-by-step explanation:

-8(x-2)=3-6x

Distribute the -8

-8x+16=3-6x

add 8x to both sides

16=3+2x

subtract 3 from both sides

13=2x

Divide both sides by two

6.5=x

Answer:

x=13

Step-by-step explanation: