determine intervals in which solutions are sure to exist. (enter your answer using interval notation.) y^(4) + 7y^''' + 5y = t

Answer:

Graph A

Step-by-step explanation:

You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!

Answer:  A (the first graph)

Step-by-step explanation:

Inverse is when you swap the x's and y's

A = (x, y)  →   A⁻¹ = (y, x)

I took three points from the graph (labeled A, B, C) and found their inverse.

A = (-7, 0)  →   A⁻¹ = (0, -7)

B = (0, 7)   →   B⁻¹ = (7, 0)

C = (9, 9)  →   C⁻¹ = (9, 9)

see graph below

Answer:

m' (-2, 4)

n' (-2, 1)

o' (3, 1)

p' (3, 4)

Step-by-step explanation:

just simply get better at math

Answer:

x= -1

Step-by-step explanation:

START 29 - 6x = 5(1 - 6x)

1.  Distribute

29 - 6x = 5 - 30x

2. Isolate the variable

~ 2a. Add 30x to both sides

29 - 6x + 30x = 5 - 30x + 30x

~ 2b. Subtract 29 from both sides

29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x

3. Simplify

24x = -24

4. Solve

x = -1

END

Oxygen gas can be converted to solid, by the following two steps: By cooling or decreasing the temperature below the boiling point(-183°C) of oxygen

The temperature at which the pressure of the vapour phase equals the atmospheric pressure is known as the boiling point.

The phase transition of a material from a liquid state to a solid state is referred to as freezing. This occurrence is known as a phase transition, which occurs when a material changes from one state of matter to another.

Given, oxygen is the gas we breathe . It can be separated from the . it boils at - 219C and freezes at - 183 C.

For in which state is oxygen, at:-200 C

Since, -200 falls between -219 and -183

Oxygen will at its liquid state at -200c temperature.

For to turn oxygen into solid State,

Oxygen gas can be converted to solid, by the following two steps: By cooling or decreasing the temperature below the boiling point(-183°C) of oxygen. This will cause the steam or gas of oxygen to condense into liquid oxygen. This process of conversion of a gas to its liquid state is called condensation.

Therefore, at -200 oxygen will at its liquid state.

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Answer:

it is when it can make a mathematical statement

The exponential function f with base b is defined by f(x) = bˣ, where b > 0 and b ≠ 1. Using interval notation, the domain of this function is (-∞, ∞) and the The range is base b.

Using interval notation, the domain of this function is (-∞, ∞) because exponential functions are defined for all real numbers.

The range of the exponential function f depends on the value of the base b.

If 0 < b < 1, then the range is (0, ∞), meaning that the function takes positive values that approach zero as x approaches negative infinity.

If b > 1, then the range is (0, ∞), meaning that the function takes positive values that increase without bound as x increases.

If b = 1, then the range is just {1}, as any non-zero base raised to the power of zero equals 1.

If b < 0, then the range is not defined for real numbers because raising a negative number to a non-integer power results in complex numbers.

In summary:

If 0 < b < 1, the range is (0, ∞).

If b > 1, the range is (0, ∞).

If b = 1, the range is {1}.

If b < 0, the range is not defined for real numbers.

The complete question is:

The exponential function f with base b is defined by f(x) = ___ b > 0 and b ≠1. Using interval notation, the domain of this function is ____ and the range is______.

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Answer:

210 squared inches, I think

Step-by-step explanation:

21 x 15 = 315 (area of original map)

315 x 2/3 = 210

The  coordinate vector of a vector a = (4, 5, 6, 7)  with respect to given basis of M22 is a column vector [x1, x2, x3, x4], where x1, x2, x3 , x4 are the coefficients of the linear combination of the basis vectors that gives a. That is,

a = x1 e22 + x2 e21 + x3 e12 + x4 e11

To find the coefficients xi, we solve the system of linear equations given by:

[ e22 | e21 | e12 | e11 ] [ x1 ] [ 4 ]

[ x2 ] = [ 5 ]

[ x3 ] [ 6 ]

[ x4 ] [ 7 ]

We can solve this system using row reduction:

[ e22 | e21 | e12 | e11 ] [ 1 0 0 0 ] [ 4 ].

[ 0 1 0 0 ] = [ 5 ]

[ 0 0 1 0 ] [ 6 ]

[ 0 0 0 1 ] [ 7 ]

Therefore, the coordinate vector of a with respect to the given basis is:

[x1, x2, x3, x4] = [4, 5, 6, 7]

In other words, a = 4 e22 + 5 e21 + 6 e12 + 7 e11.

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Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Hello there. To solve this question, we have to remember how to graph a function.

First, remember that the logarithm in any base is an injective function (one-to-one).

We have to find its key-features before graphing it.

These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.

Okay. To find the x-intercept, set the function equal to zero:

Adding 1 on both sides, we get

Apply the property:

Hence we have

So the x-intercept happens at x = 3.

To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:

In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).

Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is

Therefore it has a vertical asymptote at x = 0.

The graph is then given by:

This is a sketch of the graph of the function.

The final answer to this question is contained in the last option.

Answer:

I believe the answer is 210.

Step-by-step explanation:

Answer:

Assume the unknown value is 'Y'

189 = 90% x Y

189 =

90

100

x Y

Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:

Y = 3 x

100

90

Y = 210%

Answer: 189 is 90 percent of 2

Step-by-step explanation:

theres a another way

189x100÷90 which your answer will give 210

Answer:

1/2

Step-by-step explanation:

When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!

Answer:

1/2.

Step-by-step explanation:

Sine = opposite side / hypotenuse.

The side opposite 60 degrees has length√3 and the hypotenuse = 2.

By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)

= 1 unit.

So cos 60 = adjacent / hypotenuse = 1/2.

Answer:

5

Step-by-step explanation:

(x+5)(x-3)=20

x=5

Step-by-step explanation:

To record the critical values for a chi-square test, we need to know the degrees of freedom in addition to the level of significance. Assuming the degrees of freedom are not given, I will provide the critical values for degrees of freedom (k-1) at each level of significance:

At 10% level of significance:

- df = 9, Chi-square critical value = 14.6846

- df = 15, Chi-square critical value = 23.6848

- df = 21, Chi-square critical value = 31.4104

At 16% level of significance:

- df = 9, Chi-square critical value = 16.9189

- df = 15, Chi-square critical value = 26.2962

- df = 21, Chi-square critical value = 34.1694

At 22% level of significance:

- df = 9, Chi-square critical value = 19.0228

- df = 15, Chi-square critical value = 29.1407

- df = 21, Chi-square critical value = 37.5662

The critical values for a chi-square test increase with increasing degrees of freedom and increasing level of significance.

except for letter a. LIZM

Using the concept of application of derivative it is concluded that the rate of change in the area of square tile is 94.25 cm²/hour.

The area of the square is defined as the square of its sides.

Let the side of the square is a then its area will be a².

Area of square figure = Side².

Let the side of the square is x= 29cm.

It is given that the side 29 cm tile is growing by 1.625 cm per hour on heating.

And the rate of change in side of square dx/dt = 1.625 cm/hour

We have to calculate the rate of change in an area of the square (A).

hen, area A = x²

On differentiating A with respect to time(t) we get a rate of change in area

dA/dt = d(x²)/dt

= 2x dx/dt

= 2×29×1.625

= 94.25 cm²/hour

Hence, the rate of change in the area of the square tile is 94.25 cm²/hour.

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Answer: I would conduct more trials so that the experimental probability will be closer to the theoretical probability.

Step-by-step explanation: It will get us closer to the actual value by making multiple predictions.

0.625 is a rational number. A rational-number is the number that can be expressed as ratio of two integers with a denominator (not zero).

What is rational and irrational number?

A rational number is a number which can be expressed as the product of two integers with non-zero denominators.In other words, it is a number that can be written in the form of p/q,

where:

p and q -> integers

and q -> not equal to 0.

An irrational number, is just opposite, it cannot be expressed as the ratio of 2 integers.It is a number that cannot be written as a simple fraction, and its decimal expansion continues indefinitely. The most famous examples of irrational numbers are π and √2.

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Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Answer:

\(P(Cheese) = 0.30\)

Step-by-step explanation:

Given

\(Cheese = 36\)

\(Pepperoni = 64\)

\(Veggie = 20\)

Required

\(P(Cheese)\)

This is calculated as:

\(P(Cheese) = \frac{Cheese}{Total}\)

\(P(Cheese) = \frac{36}{36+64+20}\)

\(P(Cheese) = \frac{36}{120}\\\)

\(P(Cheese) = 0.30\)

\(1.) -4\\2.) 2\\3.) -3\\4.) 2\\5.) 4\\6.) -5\\7.) -5\\8.) -17\\9.) -13\\10.) 2\\11.) -1\\12.) 0\\13.) -1\\14.) 7\\15.) -9\\16.) 9\\17.)2\\18.) 0 \\19.) -1\\20.)12\\21.) -3\\22.)1\\23.) 6\\24.)5\\25.)1 \\26.)-11\\27.)-1\\28.)0\\29.)-9\\30.)5\\31.)4\\32.) 6\\33.) 2\\34.) 6\\35.)4\\36.) -4\\37.)-6\\38.)-5\\39.) -5\\40.)8\\\)

The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.

the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.

Steps to plot graph of quadratic function.

a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.

\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).

This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).

So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

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Three minutes equal 180 beats on the double number line. three minutes of 270 beats 2:180=90 , 3:270=90

In music, a beat is a pulse that occurs repeatedly. Simple meters are those in which the beat first breaks into two, and subsequently into four. There are two beat groups in double meters, three beat groups in triple meters, and four beat groups in quadruple meters.

For double, triple, and quadruple meters, there are several conducting patterns. One group of beats equals one measure (duple, triple, or quadruple). Bar lines divide the measures. Simple meters' time signatures specify two things: the beat unit, or note value that represents the beat, and the number of beats in each measure (the top number). Notes are graphically grouped by beat and connected by a beam.

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9514 1404 393

Answer:

  4 × 2; 5 × 5; 5 × 2; 5 × 3; 5 × 5; 4.5 × 5

Step-by-step explanation:

The scale factor of 1 in : 4 ft tells you that dividing the foot dimension by 4 will give you the inch dimension exactly.

Fill in the boxes in the bottom row by dividing the number above it by 4.

  LR 4 × 2; K 5 × 5; O 5 × 2; B1 5 × 3; B2 5 × 5; Ba 4.5 × 5

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

Answer:

x = 47 degrees

Step-by-step explanation:

ok so the 2 lines m and n are parallel while going through line t

so since this is true

x is the same as the corresponding angle which is 47 degrees

x = 47 degrees

Answer:

She can make 6 batches of brownies

Step-by-step explanation: