1. Graph the function x^2 +4x-12 on the coordinate plane.

Answer:

n<4

It goes to the left

Step-by-step explanation:

Let's solve your inequality step-by-step.

6n+7<31

Step 1: Subtract 7 from both sides.

6n+7−7<31−7

6n<24

Step 2: Divide both sides by 6.

6n/6<24/6

n<4

Step-by-step explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)

where c is

Solving for the angle d.

\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)

This angle must be within 0 and 180

We get

\(d = 101.54\)

Area of rectangle is length times of width. Thomas is painting the wall at a warehouse blue. He painted in 6 hours of area 240 square feet.

Area of rectangle is length times of width.

Area=Length*width.

From the given figure the length is 12 ft and width is 5 ft in 1.5 hrs.

area he covered painting= 12ft*5ft

=60 square feet.

In 1 and half hour he painted 60 square feet.

Now for 6 hours we have to calculate.

4*(1 and half hrs)=6 hrs

So we have to multiply 4 with 60 to get the area in 6 hours.

4*60=240square feet.

Therefore 240 square feet area Thomas painted.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

Answer:

60.5

Step-by-step explanation:

Answer: 60.50

Step-by-step explanation:

.

The area of a sector of a circle is equal to the central angle in radians multiplied by the square of the radius.

Therefore, we can use this formula to solve for the radius:

Area = (Central Angle) × (Radius)²

Therefore, we can rearrange this formula to solve for the radius:

Radius = √(Area / Central Angle)

Plugging in the values given, we get:

Radius = √(15 cm² / 5 rad)

Simplifying, we get:

Radius = 3 cm

Therefore, the radius of the circle is 3 cm, rounded to the nearest tenth.

Answer: $18.6

Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

The length of the semi-major axis of the ellipse is 7.

What is the semi-major axis of an ellipse?

The semi-major axis of an ellipse is the half of the longest diameter passing through its vertex and focus.

The general equation of an ellipse is :

⇒ x²/a²+y²/b²=1, where a is the semi-major axis and b, is the semi-minor axis

x²/49+y²/36=1

x²/(7²)+y²/(6²)=1

x²/a²+y²/b²=1

a=7

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer: x=12

Step-by-step explanation:

Add 5 to both sides.  7 + 5 is 12

Answer:

The answer is 5x - 6

Pls mark as brainliest

maybe 5x -6

3 x + 2 (x - 1) -4

= 3x + 2x - 2 - 4

= 5x - 6

Answer:

9,600,102

:))))))))))))))))))))))))

Answer:

69

Step-by-step explanation:

Answer:

24 nickels 3 quarters

Step-by-step explanation:

195-25(3) = 120/5 = 24 nickels 3 quarters

Answer:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Answer:

Step-by-step explanation:

Area of a reactangle = Length * Width

A = LW

If the length of a rectangle is twice the width, then L = 2W

Substituting L = 2W into the formula for calculating the area

A = 2W(W)

A = 2W²

Given the area of the rectangle to be 90 square units, then;

90 =  2W²

2W² = 90

divide both sides by 2

2W²/2 = 90/2

W² = 45

W = √45

To get the length of the rectangle, we will substitute, W = √45 into L = 2W

L =2√45

L = 2√9*5

L = 2(3)√5

L = 6√5 units

Hence the irrational number that represents the length is 6√5 units.

Answer:

n+ 51

Step-by-step explanation:

two numbers:

n   and    n+ 51

difference = 51

  (n+51)     -     n   = 51

  (51 + n )    - n   = 51

   51     + (n-n) = 51

   51 = 51

It looks like the integral is

\(\displaystyle \iint_D x^2 (y-x) \,\mathrm dx\,\mathrm dy\)

where D is the set

D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}

So we have

\(\displaystyle \iint_D x^2(y-x)\,\mathrm dx\,\mathrm dy = \int_0^1 \int_{x^2}^{\sqrt x} x^2(y-x)\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \left(\frac{x^2y^2}2-x^3y\right)\bigg|_{y=x^2}^{y=\sqrt x} \\\\ = \int_0^1 \left(\frac{x^3}2-x^{7/2}+x^5-\frac{x^6}2\right)\,\mathrm dx \\\\ = \left(\frac{x^4}8 - \frac{2x^{9/2}}9 + \frac{x^6}6 - \frac{x^7}{14}\right)\bigg|_{x=0}^{x=1} = \frac18-\frac29+\frac16-\frac1{14} = \boxed{-\frac{1}{504}}\)

Answer:

(C) A diation followed by reflection

Step-by-step explanation:

if you dialate a shape then that shape can not be congruent to the previous one because it is not the same size, so it is similar but not congurent

Answer:

$746.24

Step-by-step explanation:

3.2/100 = 0.032

5,830 X 4 = 23,320

23,320 X 0.032 = 746.24

Answer:

graph A

Step-by-step explanation:

When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"

The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"

For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.

Values to the right side of the origin are positive--greater than 0.

For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.

Ordered pairs (points) are written as (x,y)

(x-value, y-value)

We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.

When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).

So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)

hope this helps!!

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

No

Step-by-step explanation:

2.20 and 2.2 are the same

but 2.02 is not the same as the others

Considering the expression of a line, the statements:

about the line that passes through (-2, 0) and (2, -4) are true.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Being (x₁, y₁)= (-2, 0) and (x₂, y₂)= (2, -4), the slope m can be calculated as:

m= (-4 - 0)÷(2 - (-2))

m= (-4)÷ 4

m= -1

Considering point 1 and the slope m, you obtain:

0= -1×(-2) + b

0= 2 +b

-2= b

Finally, the equation of the line that passes through the pair of points (-2,0) and (2,-4) is y= -x -2, wich has a slope of -1. The line intersects the x-axis at (−2, 0).

If x=0, you get:

0= -x -2

2= -x

2÷ (-1)=x

-2= x

Finally, the line line intersects the y-axis at (0, −2).

Your question was incomplete. Please check below the full content.

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

A. The slope of the line is 1.

B. The line intersects the y-axis at (0, −2).

C. The equation of the line is y = −x − 2.

D. The line intersects the x-axis at (−2, 0).

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Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

The presence of characteristic absorption bands for the stretching of the C-O and C-H bonds, as well as for the C-O-C function group, suggest that the compound is an ester.

The IR spectrum of the compound indicates the presence of four major absorption peaks. The first peak is at 2900–3000 cm-1 and is due to the stretching of the C-H bonds. The second peak is at 1720 cm-1 and is due to the stretching of the C-O bonds. The third peak is at 1380 cm-1 and is due to the stretching of the C-O-C bonds. The fourth peak is at 1250 cm-1, which is due to the bending of the C-O-C bonds. This combination of peaks indicates that the compound contains a C-O-C function group, which is characteristic of an ester. Therefore, the compound is an ester.

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must be

E) y/3

:).......

<3.....

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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