Solve the inequality:

8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answer:

5. Midpoint: (3.5,0.5)

Quadrant: 1st

6. Midpoint: (-5,0.5)

Quadrant: 2nd

Answer:

1.

midpoint: (3.5, 0.5)

Quadrant: 1

2.

midpoint:(-5, 0.5)

Quadrant: 2

hope this helps :)

Step-by-step explanation:

The real dimensions of the object are 144 inches by 216 inches.

Given that, 6:1 scale with dimensions of 24 inches by 36 inches.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

In a 6:1 scale, the real dimensions of an object would be 6 times the scaled dimensions. Therefore, the real dimensions of the object given in the question would be 24 inches x 6 = 144 inches by 36 inches x 6 = 216 inches. So, the real dimensions of the object are 144 inches by 216 inches.

Therefore, the real dimensions of the object are 144 inches by 216 inches.

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Answer:

It's the 2nd one

Step-by-step explanation:

To find the number of yellow marbles, you would do the number of blue marbles plus 6 marbles.

So in this case, let's say n was equal to the number of blue balls, the equation would be n+(n+6)=24.

What if n was equal to the number of yellow balls. The equation would be n+(n-6)=24.

Hope this made sense, let me know if you are still confused.

The limit of the expression as x approaches 1 is 5.

Explain limit

A limit is a value that a function or sequence approaches as the input or index approaches a specific value or infinity. It is used to describe the behaviour of a function or sequence as it approaches a certain point or as the input values become infinitely large or small. The limit is an essential concept in calculus and is used to solve problems involving derivatives, integrals, and infinite series.

According to the given information

Here we  use algebraic manipulation and direct substitution to find the limit:

lim x→1 [(x² + 1)/(x + 1) + x² + 3]

= lim x→1 [(x² + 1)/(x + 1)] + lim x→1 (x² + 3) (by the limit laws of algebra)

= [(1² + 1)/(1 + 1)] + (1² + 3) (by direct substitution)

= (2/2) + 4

= 1 + 4

= 5

Therefore, the limit of the expression as x approaches 1 is 5.

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Answer:

-22

Step-by-step explanation:

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Answer: 9(9+2) is equivalent to 81+18 because 9 plus 2 equals 11 and 11 times 9 is 99 and 81+18 is 99.

Step-by-step explanation:

Answer:

The series converges to \(\dfrac{1}{3}\)

Step-by-step explanation:

It seems to be this series:

\($ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$\)

We have

\($ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$\)

Using the Root test we can see that this series converges once

\($ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$\)

Then, \($\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$\)

The series is convergent.

Once the series is geometric, the first term is \(\dfrac{1}{4}\) and the ratio is also \(\dfrac{1}{4}\) in this case.

The sum of infinite geometric series is \(S = \dfrac{a_1}{1-r}\) such that \(r < 1\)

\(\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}\)

Answer:

3

Step-by-step explanation:

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

  (b)  $42.79

Step-by-step explanation:

You want the monthly interest charge on a balance of $1834.50 when the annual rate is 27.99%.

The monthly interest rate is the annual rate divided by 12. This means the interest charge is ...

  I = Prt . . . . . interest on P at annual rate r for t years

  I = $1834.50 × 0.2799 × 1/12 ≈ $42.79

Her monthly interest charge will be $42.79.

Given the expresssion;

First, we start with the expression in the bracket which is;

We apply the fractional exponent rule of indices which is;

Applying the law to the expression in the bracket above, we have;

Thus, the given expression is;

Then, we multiply the exponents, we have;

Answer

45x2 power is y=45x

Step-by-step explanation:

The application of the distributive property let us transform a multiplication in a sum (or substraction):

In this case, the factor a is distributed in two terms, multiplying the terms b and c.

Answer:

It would take 10 years

Step-by-step explanation:

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

After multiplying (−3x+4) with (2x−1) we get a quadratic equation which is equal to −6x² + 11x − 4.

To multiply the expressions (−3x+4)(2x−1), we use the distributive property of multiplication:

(−3x+4)(2x−1) = −3x(2x) + 4(2x) − 3x(−1) + 4(−1)

Simplifying the above expression, we get:

= −6x² + 8x + 3x − 4

= −6x² + 11x − 4

Therefore, the product of (−3x+4)(2x−1) is −6x² + 11x − 4.

We can also use the FOIL method to multiply the two expressions:

(−3x+4)(2x−1) = −3x(2x) −3x(−1) + 4(2x) + 4(−1)

= −6x² + 3x + 8x − 4

= −6x² + 11x − 4

Either method can be used to get the same result.

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Answer:

I'm positive its 8

i hope it helps!

Answer: 60*2.75=165 inches

165/12=13.75 feet

Answer:

Step-by-step explanation:

Given sides of rectangle:

Its perimeter is:

Answer:

\(\textsf{Perimeter}= 8x^2+12y\)

Step-by-step explanation:

A rectangle has 2 pairs of parallel, congruent sides.

The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.

Given:

Therefore:

\(\begin{aligned}\sf Perimeter & = 2(\sf width + length)\\& = 2 \left((x+4y)+(4x^2-x+2y)\right)\\& = 2(x+4y+4x^2-x+2y)\\& = 2x+8y+8x^2-2x+4y\\& = 8x^2+2x-2x+8y+4y\\& = 8x^2+12y\end{aligned}\)

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Answer: 140°

Step-by-step explanation:

look at the little number

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

Answer:

Step-by-step explanation:its ratxrat

...

The zeros of the divisor,

x-3=0,x=3

f(3)=4(3)²-3-3=30

The remainder is 30

Answer:

34 mm

Step-by-step explanation:

P = 2 x (L + B) for a rectangle

P = 2 x (10 + 7) = 2 x 17 = 34

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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