Which graph represents the compound inequality?
-3 -5 -4 -3 -2 -1 0 1 2
دعا
3
4 5
++
-5 4 -3 -2 -1 0 1
2
3
4 5
-5 4 -3 -2 -1 0 1
2 3
4 5
+
3
-5 4 -3 -2 -1 0
1
2
4
5

Answer:

TUJ = 29

Step-by-step explanation:

178-149

Answer:

m∠ TUJ = 29°

Step-by-step explanation:

Although this question looks hard, it really is not.

Since we know that TUV = 178° and we know that JUV = 149° we can easily figure out TUJ.

First, since we know that the total is 178° (TUV) we can subtract angle JUV from TUV to get TUJ

178° - 149° = ?

178° - 149° = 29°

Hope this Helps!!! :)

Step-by-step explanation:

sometimes its good to use real numbers

odd numbers under 10 are good

Kiran is older than Mohal

Their ages are consecutive odd integers

so lets make Kiran 9 & Mohal 7

Find Kiran's age = x or 9

if the sum means add

square of Kiran's age means

x^2 or 9^2 or 81

and means +

3 times Mohal's age

3 * y or 7

is means =

64 so...

x^2 + y = 64

important ****

Their ages are consecutive odd integers

if Kiran is x and

mohal is y and

Their ages are consecutive odd integers

then

y + 2 = x

like for example 7 and 9 are consecutive odd integers

and the difference between them is always 2 so

x^2 + y = 64

change x into y by using

y + 2 = x

(y+2)^2 + y = 64

(y+2)(y+2) =

y^2 +4y + 4 + y = 64

y^2 +5y -60 =

Kiran age is 7 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by representing Kiran's age as x.

Since Kiran is older than Mohal,

Mohal's age is x-2 (the previous odd integer).

We know that their ages are consecutive odd integers, so the difference between their ages is 2:

x - (x - 2) = 2

Simplifying, we get:

2 = 2

This is true, so we know that our representation of their ages is correct.

Now we can use the given information to set up an equation:

x² + 3(x-2) = 64

Expanding and simplifying, we get:

x² + 3x - 70 = 0

Now we can solve for x using the quadratic formula:

x = (-3 ± √(3² - 4(1)(-70))) / (2(1))

x = (-3 ± √(289)) / 2

x = (-3 ± 17) / 2

x = 7 or x = -10

Since we know that Kiran is older than Mohal, Kiran's age must be positive. Therefore, Kiran is 7 years old and Mohal is 5 years old.

We can check that this satisfies the given condition:

7² + 3(5) = 49 + 15 = 64

Thus,

Kiran age is 7 years old.

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Answer:

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

Step-by-step explanation:

To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.

22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

= 374

You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!

Then just add like you would if when you distribute.

Remember FOIL (First, Outer, Inner, Last)

when multiplying two binomials(2 terms) or distributing factors with two terms.

For example:

(a + b)(c + d) =

F F

O O

I I

L L

(a × c) + (a × d) + (b × c) + (b × d)

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

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complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Answer:

Step-by-step explanation:

Find the value of t in the following equation:

Answer:

Yes, it is.

Step-by-step explanation:

y = x + 4/5

2 = 6/5 + 4/5

2 = 10/5

2 = 2

Two equals two.

The outward flux of F across the closed curve C is -210.

Option D is the correct answer.

We have,

To find the outward flux of F across the closed curve C using Green's Theorem, we need to evaluate the line integral of F around the boundary of the region enclosed by C.

The given vector field is F = (x^2 + y^2)i + (x - y)j.

Curve C is a rectangle with vertices at (0, 0), (5, 0), (5, 7), and (0, 7).

Applying Green's Theorem, the outward flux can be calculated as:

Flux = ∬R (curl F) · n dA

where R is the region enclosed by the curve C, curl F is the curl of F, n is the unit outward normal vector to the curve C, and dA represents the area element.

First, let's calculate the curl of F:

curl F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k

In this case, Fz = 0, so the curl simplifies to:

curl F = (∂Fy/∂x - ∂Fx/∂y)j

Now, let's compute the partial derivatives of F:

∂Fx/∂y = 0 - 1 = -1

∂Fy/∂x = 2x

Substituting these values into the curl expression:

curl F = (-1 - 2x)j

The unit outward normal vector n for a rectangle is either the positive or negative y-axis direction, depending on the orientation.

Since the flux is defined as outward, we'll choose the positive y-axis direction.

The area element dA is equal to dx dy, where dx is the infinitesimal change in the x-direction and dy is the infinitesimal change in the y-direction.

Now, let's set up the integral to calculate the outward flux:

Flux = ∬R (curl F) · n dA

= ∫∫R (-1 - 2x)j · j dx dy

= ∫∫R (-1 - 2x) dy dx

To integrate over the rectangle region R, we set the limits of integration:

x: 0 to 5

y: 0 to 7

Flux = ∫\(0^5\) ∫\(0^7\) (-1 - 2x) dy dx

Evaluating the integral:

Flux = ∫\(0^5\) [(-1 - 2x)y]\(0^7\) dx

= ∫\(0^5\) (-1 - 2x)(7 - 0) dx

= -7∫\(0^5\) (1 + 2x) dx

= -7[x + x^2]\(0^5\)

= -7[(5 + 25) - (0 + 0)]

= -7(30)

= -210

Therefore,

The outward flux of F across the closed curve C is -210.

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The exact length of the curve is approximately 3.000137804 units.

To find the exact length of the curve defined by the equation x = 31y(y−3), where y ranges from 1 to 4, we can use the arc length formula from calculus. The formula is given by:

L = ∫[a,b] √[1 + (dy/dx)²] dx

First, let's find dy/dx by differentiating the equation x = 31y(y−3) with respect to y:

dx/dy = 31[(y)(dy/dy) - (y-3)(dy/dy)]

= 31y - (y-3)

= 31(3)(dy/dy)

= 93(dy/dy)

Now, we can solve for dy/dy:

dx/dy = 93(dy/dy)

dy/dx = 1/93

Substituting this value into the arc length formula:

L = ∫[1,4] √[1 + (dy/dx)²] dx

= ∫[1,4] √[1 + (1/93)²] dx

= ∫[1,4] √[1 + 1/8649] dx

= ∫[1,4] √[8649/8649 + 1/8649] dx

= ∫[1,4] √[(8649 + 1)/8649] dx

= ∫[1,4] √(8650/8649) dx

= ∫[1,4] √(8650) / √(8649) dx

= √(8650/8649) ∫[1,4] dx

Now we can integrate ∫[1,4] dx:

L = √(8650/8649) [x] from 1 to 4

= √(8650/8649) (4 - 1)

= √(8650/8649) (3)

≈ 3.000137804

Therefore, the exact length of the curve is approximately 3.000137804 units.

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Answer:

...

Step-by-step explanation:

shut the fawk up... no one asked

Answer:

GF = 16.25

Step-by-step explanation:

If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.

Step 1

We find x

AG = GC

6x + 1 =9x - 11

Collect like terms

1 + 11 = 9x - 6x

12 = 3x

x = 12/3

x = 4

Step 2

We solve for AG

GC = 9x + 11

GC = 9(4) + 11

GC = 36 + 11

GC = 25

Step 3

Solving for GF, using Pythagoras Theorem

GF² + BG² = GC²

GF² = GC² - BG²

GF = √GC² - BG²

GF = √25² - 19²

GF = √264

GF = 16.248076809

GF = 16.25

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

58 out of 90 = 64%

Step-by-step explanation:

Total number of marks for both tests = 60 + 90 = 150

She has 70% on test 1.

70% of 60 is 70/100 * 60 =                                  42 marks from test 1

To pass she needs 2/3 * 150 = 300 / 3 = 100

That means she needs 100 - 42 = 58 marks on test 2

Answer:

B

Step-by-step explanation:

got it right on edge

Answer:

D: He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.

Step-by-step explanation:

I did the test and got it right.

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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Answer:

-(x - 4)^2 -13

Explanation:

First, we refect the function about the x-axis. This is done by multiplying the function by -1.

then we shift the function down by 13 by subtracting 13 from the equation:

finally, we s

The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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The given statement is true

What is a rational number?

In contrast to irrational numbers, which cannot be stated as fractions, rational numbers can be expressed as the ratio of two integers with the condition that the denominator not be equal to zero. Irrational numbers don't have ending or recurring decimals, but rational numbers do.

p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. Any fraction with a non-zero denominator is considered rational. Half, one fifth, three quarters, and so on are a few examples of rational numbers.

So, the given statement is true

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Its hard to tell from the small graph you included, but from what I see it looks like B's slope is greater than A.

Answer:

Once.

Step-by-step explanation:

When the equation is graphed the x-axis is intersected/touched only once.

It crosses the x-axis at coordinates (-1 , 0)

When graphed it looks like this:

Answer:

6 - 4\(\sqrt{2}\)

Step-by-step explanation:

To evaluate, substitute x = - 1 + \(\sqrt{2}\) into f(x)

f(- 1 + \(\sqrt{2}\) )

= (- 1 + \(\sqrt{2}\) )² - 2(- 1 + \(\sqrt{2}\) ) + 1 ← expand squared factor using FOIL

= 1 - 2\(\sqrt{2}\) + 2 + 2 - 2\(\sqrt{2}\) + 1 ← collect like terms

= 6 - 4\(\sqrt{2}\)

The rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

The area of a circle can be calculated using the formula, A = πr^2, where A is the area of the circle and r is the radius.The rate of change of the area of a circle with respect to its radius r can be calculated using the derivative of the equation. By taking the derivative of A with respect to r, we get the equation, dA/dr = 2πr.This equation signifies that the rate of change of the area of a circle with respect to its radius is proportional to the radius. As the radius increases, the rate of change of the area of the circle also increases.To calculate the rate of change of the area of a circle with respect to its radius when r = 3 cm and r = 4 cm, we can substitute the corresponding values of r in the equation, dA/dr = 2πr.

For r = 3 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(3) = 6π cm2/cm.

For r = 4 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(4) = 8π cm2/cm.

Therefore, the rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

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The polar coordinates of the point with Cartesian coordinates (3√3, -3) are r = 6 and θ = arctan(-1/√3).

To convert the given Cartesian coordinates to polar coordinates, we use the formulas r = √(x^2 + y^2) and θ = arctan(y/x).

For the point (3√3, -3), let's calculate the polar coordinates:

1. Calculating the value of r:

r = √((3√3)^2 + (-3)^2)

r = √(27 + 9)

r = √36

r = 6

2. Calculating the value of θ:

θ = arctan((-3)/(3√3))

θ = arctan(-1/√3)

Therefore, the polar coordinates of the point with Cartesian coordinates (3√3, -3) are r = 6 and θ = arctan(-1/√3).

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Answer:

Step-by-step explanation:

Answer:

The answer is 3.5

Step-by-step explanation:

I just got it right on the instruction.

Answer:

10 miles in 5 days

Step-by-step explanation:

1 mile to school + 1 mile home= 2 miles a day

2 miles/day x 5 days= 10 miles in 5 days