I NEED HELPP i have like 11 more on this

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

okk am guessing(-♾,-♾)

The simplified form of the given sum-of-products expression using Boolean algebra properties is x1x2x3' + x1'x2x3' + x1'x2'x3.

Starting with the given expression, we can simplify it step by step using the properties of Boolean algebra:

1. Distributive property:

(x1x2x3') + (x1x2'x3) + (x1x2'x3') + (x1'x2x3') + (x1'x2'x3')

= x1x2x3' + x1x2'x3 + x1x2'x3' + x1'x2x3' + x1'x2'x3

2. Identity property:

Notice that x1x2'x3 + x1x2'x3' can be simplified as x1x2' (x3 + x3'), where x3 + x3' = 1 (complement property).

= x1x2x3' + x1'x2x3' + x1'x2'x3 + x1x2' (1)

3. Absorption property:

Since x1x2' (1) is multiplied by 1, it can be absorbed:

= x1x2x3' + x1'x2x3' + x1'x2'x3

Therefore, the simplified form of the given sum-of-products expression using Boolean algebra properties is x1x2x3' + x1'x2x3' + x1'x2'x3.

Learn more about Boolean algebra here:

https://brainly.com/question/31647098?

#SPJ11

The equation of the line in slope intercept form is:

y=-6x+8.

Given:

A line passes through the point (3,-8) and has a slope of -6.

we are asked to find out the equation of the line in slope intercept form = ?

we know the slope intercept form as:

y=mx+C

where m is slope.

let the point be (3,-8) = (x₁,y₁)

now y-y₁=m(x-x₁)

substitute the points.

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

y+8=-6x+18

y=-6x+18-8

y=-6x+8

Hence we get the equation as y=-6x+8.

Learn more about Slope intercept form here:

https://brainly.com/question/1884491

#SPJ9

Answer:

<

Step-by-step explanation:

First, let's find common denominators:

Multiply 3/4 by 2.

Product is 6/8.

Next, let's compare both fractions:

5/8 ? 6/8

5/8 is less than 6/8.

Therefore 5/8 < 6/8.

Answer:

\(h = \frac{3V}{b}\)

Step-by-step explanation:

Given the formula, \(V = \frac{1}{3}bh\):

Start with isolating b from the right-hand side of the equation by using the multiplicative inverse of b, which is \(\frac{1}{b}\).  Multiply both sides of the equation by \((\frac{1}{b})\) :

\(V (\frac{1}{b}) = \frac{1}{3}bh (\frac{1}{b})\)

\(\frac{V}{b} = \frac{1}{3}h\)

Next, isolate h by using the multiplicative inverse of \(\frac{1}{3}\), which is \(\frac{3}{1}\).  Multiply both sides of the equation by  \((\frac{3}{1})\) :

\(\frac{V}{b} (\frac{3}{1}) = (\frac{3}{1}) \frac{1}{3}h\)

\(h = \frac{3V}{b}\)

Hope my explanation helps :)

Answer:

Step-by-step explanation:

To solve this equation for h, multiply both sides by 3.  We get:

3V = bh.  

Dividing this result by b results in

          3V

h =  ----------

           b

A quadrilateral with two pairs of opposite sides always congruent is a parallelogram. A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel and always congruent.

In a parallelogram, the opposite angles are also congruent. The rectangle, square, and rhombus are all special types of parallelograms, but they have additional properties that make them unique. A rectangle has four right angles, a square has four right angles and all sides congruent, and a rhombus has all sides congruent but does not require right angles.

Kites, isosceles trapezoids, and trapezoids do not necessarily have two pairs of congruent opposite sides, so they do not fit the description.

To know more about quadrilateral  click here

brainly.com/question/30501476

#SPJ11

Answer: put the parallelograms in the box that says 2 pairs of parallel sides next put the squares in the box that says 4 right angles the put rectangles in the box that says 4 congruent sides and last put rhombuses in the middle box that says 4 right angles and 4 congruent sides

Step-by-step explanation:

9514 1404 393

Answer:

   (3x +4)(j -f)

Step-by-step explanation:

  3x(j -f) -4(f -j) = 3x(j -f) +4(-f +j) . . . . distribute the minus sign in -4(f-j)

  = 3x(j -f) +4(j -f)

  = (3x +4)(j -f)

Answer:

y = 3x - 13

Step-by-step explanation:

slope of line segment is -1/3 so a segment perpendicular to this would need a slope of 3

the midpoint for the segment is (2, -7); midpoint formula is [(\(x_{1}\)+\(x_{2}\)/2), (\(y_{1}\)+\(y_{2}\)/2)]

using slope of 3 and point (2, -7) we can plug into y = mx + b

-7 = 3(2) + b

-7 = 6 + b

b = -13

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

To know more about differential equation refer here:

https://brainly.com/question/32524608#

#SPJ11

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

To know more about partial derivatives,

https://brainly.com/question/21661447

#SPJ11

The fraction of the 30 cakes does Simon have left with os 7/10

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, Simon makes 30 cakes, he gives 1/5 of the cakes to Sali, he gives 10% of the 30 cakes to Jane,

We need to find, what fraction of the 30 cakes does Simon have left,

Number of cakes given to Sali = 1/5 of 30

= 30 / 5 = 6

That mean, Sali got 6 cakes out of 30.

Number of cakes given to Jane = 10% of 30

= 30 × 10/100

= 300 / 100

= 3

That mean, Jane got 3 cakes, out of 30.

The remaining number of cake = 30 - (6+3)

= 30 - 9

= 21

Therefore, the fraction of cakes left = 21 / 30

= 7/10

Hence, the fraction of the 30 cakes does Simon have left with os 7/10

Learn more about fractions, click;

https://brainly.com/question/1301963

#SPJ1

Answer:

10 i think

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

15 x 2 = 30

30/3 = 10

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

More can be learned about the equation of an ellipse at brainly.com/question/16904744

#SPJ4

The weekend hours that can be purchase now that the weekday hours have increased is 16 hours.

From the information, the initial cost is given as $2 per hour. When the cost is tripled,the new cost will be:

= $2 × 3

= $6

The total cost of weekday parking hours will be:

6(26 - x) + (10 × x) = 220

156 - 6x + 10x = 220

Collect like terms

4x = 220 - 156

4x = 64

x = 64/4

x = 16 hours.

Learn more about time on:

brainly.com/question/20104298

#SPJ1

brainly.com/question/27883323

The value of y after solving the given equation is -8.

We can calculate the value of y through the following method,

We have been provided with an exponential equation \(8^{y} = 16^{y+2}\)

As we know, an exponential equation is an equation whose exponent or part of the exponent is a variable.

For solving an exponential equation, we need to use logarithms and their properties.

We can write \(8^{y}\) also as \(2^{3y}\) since we know that 2³ = 8

Similarly, we can write \(16^{y+2}\) also as \(2^{4(y+2)}\) since we know that \(2^{4}\) = 16

Therefore we get the new equation as,

\(2^{3y}\) = \(2^{4(y+2)}\)

Now we will add log with base 10 on both the sides

Therefore the equation will become,

log₁₀ \(2^{3y}\) = log₁₀ \(2^{4(y+2)}\)

Since, according to the property of logarithm,

log₁₀ aᵇ = b log₁₀ a

Therefore,

3y log₁₀ 2 = 4(y + 2) log₁₀ 2

We can cancel out log₁₀ 2 on both sides

We get the equation as,

3y = 4(y + 2)

3y = 4y + 8

y = -8

Read more about Logarithms from:

https://brainly.com/question/28346542

#SPJ4

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

Learn more about UFOs here:- brainly.com/question/22862215

#SPJ11

Answer:

13,307 years

Step-by-step explanation:

The expression for the decay of a radiactive material is:

A = B*(1/2)^(t/HL),

where A is the amount remaining, B is the initial amount, t is time (in years), and HL is the half life (in years).

We learn that A is 20% of B, so let's rewrite for that:

0.20B = B*(1/2)^(t/HL)

and we can divide both sides by B to leave us:

0.20 = (1/2)^(t/HL)

The HL is 5730 years:

0.20 = (1/2)^(t/5730)

We need to solve this expression for t, the time (in years) that is required before we have 20% of the carbon remaining.

The answer I get, by graphing, is 13,305 years,  The closest to this is A) 13,307 years.  An algebraic solution might result in a slightly different number.

Answer:

logistic growth

Step-by-step explanation:

In logistic growth, a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity ( K).

The number of triangles that can be formed with point A as a vertex among the 12 given points in a plane is 66.

In order to form a triangle with point A as a vertex, we need to select two other points from the remaining 11 points. The number of ways to choose 2 points from 11 is given by the combination formula C(11, 2) = 55. However, this only counts the triangles formed in one direction, meaning that each triangle is counted twice (once for each possible ordering of the two selected points). Therefore, we need to multiply the number of combinations by 2 to get the total count of triangles with A as a vertex.

So the number of triangles with A as a vertex is 55 * 2 = 110. However, this count includes the triangle formed by selecting A itself along with any two other points. Since we are only interested in triangles formed by selecting two other points distinct from A, we need to subtract 1 from the total count. Therefore, the final answer is 110 - 1 = 109.

Hence, the number of triangles formed with point A as a vertex among the 12 given points is 109, which does not match any of the options provided. Therefore, none of the options (a), (b), (c), or (d) is correct.

Learn more about triangles here:
https://brainly.com/question/29083884

#SPJ11

Answer:

sue = 13 - x

tony = (18 + x) / 2

Step-by-step explanation:

sue = 13 - x

tony = (18 + x) / 2

Answer:

sue is 13-x, then Tony is (18-x)/2

Answer:

136

Step-by-step explanation:

multiply 4 times 6, divide by two to get the area of the front side, then multiply that by two to get eh area of the two triangles.

Then multiply each side, two sides of 5 time 7 and one side of 6 times 7

In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

Learn more about constraints here: brainly.com/question/29758137

#SPJ11

Answer:

A. 63 degrees

Step-by-step explanation:

63+63+54=180

Given

Finite Geometry

Find

Definition

Explanation

A finite geometry is a geometric system that has only finite number of points.

For example

It has 4 points and 6 lines.

Final Answer

A finite geometry is a geometric system that has only finite number of points.

In conclusion, the equation of the tangent line to the parabola \(y = 3x^2 - 6x + 6\) at the point (1, 3) can be written as y = 0x + 3, which simplifies to y = 3. Thus, the value of m is 0 and the value of b is 3.

To find the equation of the tangent line to the parabola \(y = 3x^2 - 6x + 6\)at the point (1, 3), we need to determine the slope of the tangent line (m) and the y-intercept (b).

Slope (m):

The slope of the tangent line can be found by taking the derivative of the function \(y = 3x^2 - 6x + 6\) and evaluating it at x = 1.

\(y = 3x^2 - 6x + 6\)

Taking the derivative with respect to x:

y' = 6x - 6

Substituting x = 1:

m = y'(1) = 6(1) - 6 = 0

Therefore, the slope (m) of the tangent line is 0.

Y-intercept (b):

To find the y-intercept (b), we substitute the coordinates of the given point (1, 3) into the equation of the tangent line.

Using the point-slope form: y - y1 = m(x - x1)

Substituting (x1, y1) = (1, 3):

y - 3 = 0(x - 1)

y - 3 = 0

y = 3

Therefore, the y-intercept (b) of the tangent line is 3.

To know more about tangent line,

https://brainly.com/question/32206603

#SPJ11

Answer:

gcf = 90

Step-by-step explanation:

270 = 2 · 3³ ·5

360 = 2³ · 3² · 5

multiply those factors in common:  2 · 3² · 5  = 18 · 5 = 90