Solve for d.

5+d > 5−d

Answer: A

Step-by-step explanation:

[tex]WX=\sqrt{(-1-3)^2 +(1-4)^2}=5[/tex]

Since WXYZ must be a square, all the sides must have a length of 5.

          Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2  = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

-

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

8x = 140°

x = 17.5°

-

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

Answer:

x>4

Step-by-step explanation:

3x - 2 >10  add 2 to both sides

3x > 12  Divide both sides by 3

x >4

Answer:

[tex]x > \bf 4[/tex]

Step-by-step explanation:

To find a solution to this inequality, we have to rearrange this equation to make [tex]x[/tex] its subject:

[tex]3x - 2 > 10[/tex]

⇒ [tex]3x - 2 + 2 > 10 + 2[/tex]      [Add 2 to both sides]

⇒ [tex]3x > 12[/tex]

⇒ [tex]\frac{3x}{3} > \frac{12}{3}[/tex]                         [Divide both sides by 3]

⇒ [tex]x > \bf 4[/tex]

Answer:

Part A) The system has one solution

Part B) The solution is the point (4,4)

i believe

The computation shows that the number of people expected to get infected is 5.

It should be noted that the chance of chance of getting a viral infection is 0.0005. out of 10,000 people.

Therefore, the number of people expected to get infected will be:

= 0.0005 × 10000

= 5

The number of people expected to get infected is 5.

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Answer:

See below

Step-by-step explanation:

x = largest

x-1   previous

x -2  smallest

sum =   x   +    x-1      +   x-2

sum = 3x -3    

Answer:

f(3) = g (3)

Step-by-step explanation:

graphically, we notice that the graphs of f and g intersect

at the point of coordinates (3 , 0)

Then

f(3) = 6 = g(3)

Then

f(3) = g (3)

Answer:

Infinite solutions

Step-by-step explanation:

You can put in any number for x and the 2 sides of the equation will equal each other.

Answer:

The equation has not solution, both parts of the equation correspond to the same line.

Step-by-step explanation:

-6 -(2x+7) = -2(x+6) - 1

-6 -2x - 7 = (-2*x + (-2*6)) - 1

-6 - 2x - 7 = -2x - 12 - 1

-2x - 13 = -2x - 13

-2x = - 2x

Answer:

Step-by-step explanation:

a) start at the origin (0,0) then go 4 boxes to the right, 3 up

b) start at the origin (0,0) then go 4 boxes to the right, 5 down

c) start at the origin (0,0) then go 2 boxes to the left, 3 up
d) start at the origin (0,0) then go 2 boxes to the left, 5 down

The number is 841

So we can see that the number is odd.

Here we have a 3-digit number that can be written as:

a*100 + b*10 + c

Here we know that:

"the tens digit of a number is 4 times the units digit"

b = 4*c

"the hundreds digit is twice the tens digit"

a = 2*b

Now, remember that a, b, and c, are numbers on the set {0, 1, ..., 8, 9}

And if we replace the first equation into the second, we get:

a = 2*(4*c) = 8*c

Now, the only value of c that we can use such that a is a single digit whole number is c = 1

(if c = 0, then our number is zero)

a = 8*1 = 8

b = 4*1 = 4

c = 1

The number is 841

So we can see that the number is odd.

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Using decimal multipliers, the correct statement is given by:

(iii) S1 = S2.

Increases of a% or decreases of a% re represented by decimal values, as follows:

Hence, in the context of this problem:

The options are given as follows:

They are equal, hence option (iii) is correct.

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Answer:

B. Ounces of water consumed compared with the number of same-size bottles dr*nk

Step-by-step explanation:

A constant rate of change means that the two values should be linear. Let's analyze why the other three options are wrong:

A. The distance between different airports can be very different (i.e the distance between Airport 1 and Airport 2 is 20 km and the distance between Airport 2 and Airport 3 is 500 km), meaning that the distance the airplane travels and the number of airports it visits are not linear.

C. Similar to A, the point scored in different quarters can be very different (i.e. 0 points scored in the 1st quarter, 35 points scored in the 2nd quarter, etc.)

D. Similarly, the number of fish in a pond can either be very large or very small, even if the volume of the pond stays the same

B is correct because the bottles are the same size, meaning that if you drink x bottles of 2-ounce bottles, you will always drink 2x ounces of water, no matter what, creating a linear function.

Answer:

3/4

Step-by-step explanation:

multiply each fraction by 100 or you could find the LCM

One fraction: 5/2.

Mixed-fraction: 2 1/2.

In the question, we are asked to assume that each circle shown below represents one unit, and are asked to express the shaded amount as a single fraction and a mixed fraction.

The given circle is divided into 8 equal parts.

In the first circle, all 8 parts are shaded, shown by the fraction, 8/8.

In the second circle, all 8 parts are shaded, shown by the fraction, 8/8.

In the third circle, 4 parts are shaded, shown by the fraction, 4/8.

Thus, the total shaded part can be calculated by adding:

8/8 + 8/8 + 4/8,

= (8 + 8 + 4)/8

= 20/8

= 5/2 {Cancelling off by 4}.

Thus, one fraction is 5/2.

To convert this to a mixed fraction, we divide 5 by 2, write the quotient as the whole part, the remainder as the numerator, and 2 as the denominator.

5÷2 gives quotient 2, and remainder 1.

Thus, the mixed-fraction is 2 1/2.

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Given that angle ABD and angle DBC are adjacent angle, the value of angle ABC is 120 degrees.

Given the data in the question;

Since angle ABD and angle DBC are adjacent angle, there addition will give us the value of angle ABC.

∠ABD + ∠DBC = ∠ABC

We substitute in the given values

61° + 59° = ∠ABC

∠ABC = 120°

Given that angle ABD and angle DBC are adjacent angle, the value of angle ABC is 120 degrees.

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Answer:

x=2

Step-by-step explanation:

2^x *2^4=2^3x

using law of indices

2^x+4=2^3x

x+4=3x

4=3x-x

4=2x

2=x

The graph for the given system of equations is shown below

From the question, we are to determine the graph that describes the given system equations

First, we will graph the given system of linear equations.

The given equations are

Y equals four over X +3

and

Y equals negative 2X subtract four

That is,

y = 4/(x+3)

y = -2x -4

The graph for the given system of equations is shown below

The statement that best describes the graph of the two equations is the statement that describes the graph of the system of equations as shown below

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The function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.

The function of the trapezoid area exists:

[tex]A(x)=(B+b)*h/2[/tex]

where B exists the bases

h stands the height.

Given a height of 14 and one base length of 5 with the length of its other base

With the given data:

h = 14B and b =5 and x (it may vary which one exists bigger)

So that function becomes:

[tex]$A(x)=(5+x)*14/2[/tex]

A(x) = (5 + x) [tex]*[/tex] 7

So if you want the inverse function, to find the value of x:

A(x) / 7 = 5 + x

A(x )/ 7 - 5 = x

Therefore, the function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.

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Answer:

40

Step-by-step explanation:

11+29=40

Answer:

B)0 to 21 electoral votes

Step-by-step explanation:

edge 2023

the correct option is the last option, the table represents a function because no length of ribbon has more than one price.

A function is a relationship that maps elements from a set, the domain (set of the inputs), into elements from another set, the range (set of the outputs).

Such that each element of the domain can be mapped into only one element of the range.

If we look at the table, we can see that each input (length of ribbon) is mapped into only one output (price). Then we conclude that this table represents a function.

Then the correct option is the last option, the table represents a function because no length of ribbon has more than one price.

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[tex]\boldsymbol{\sf{3n\left(\dfrac{1}{4}\right)=16\dfrac{1}{2} } }[/tex]

Multiply both sides of the equation by 4, the lowest common denominator of 4.2.

[tex]\boldsymbol{\sf{ 12n\times\left(\dfrac{1 }{4}\right)=2(16\times2+1) }}[/tex]

Multiply 12 and 1/4, because once multiplied, we get the following 12/4.

[tex]\boldsymbol{\sf{\dfrac{12}{4}n=2(16\times2+1) \ \ \longmapsto \ \ [Divide \ 12 \div 4.] }}[/tex]

[tex]\boldsymbol{\sf{3n=2(16\times2+1) \ \ \longmapsto \ \ [ Multiply \ 16\times 2] }}[/tex]

[tex]\boldsymbol{\sf{3n=2(32+1) \ \longmapsto \ \ [Add] }}[/tex]

[tex]\boldsymbol{\sf{3n=2\times33 \ \ \longmapsto \ \ [Multiply] }}[/tex]

[tex]\boldsymbol{\sf{3n=66}}[/tex]

Divide both sides by 3.

[tex]\boldsymbol{\sf{n=\dfrac{66}{3} \ \longmapsto \ \ [Split] } }[/tex]

[tex]\boxed{\boldsymbol{\sf{n=22}}}[/tex]

Once the exercise is solved, we find that the value of n is 22.

Answer:  18

Step-by-step explanation:  the smallest two positive numbers whose product is 81 are 9 and 9. 9+9 is equal to 18.

It looks like the system is

[tex]x' = \begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} x + \begin{bmatrix} \sin(t) \\ -2 \cos(t) \end{bmatrix}[/tex]

Compute the eigenvalues of the coefficient matrix.

[tex]\begin{vmatrix} -1 - \lambda & 5 \\ -1 & 1 - \lambda \end{vmatrix} = \lambda^2 + 4 = 0 \implies \lambda = \pm2i[/tex]

For [tex]\lambda = 2i[/tex], the corresponding eigenvector is [tex]\eta=\begin{bmatrix}\eta_1&\eta_2\end{bmatrix}^\top[/tex] such that

[tex]\begin{bmatrix} -1 - 2i & 5 \\ -1 & 1 - 2i \end{bmatrix} \begin{bmatrix} \eta_1 \\ \eta_2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}[/tex]

Notice that the first row is 1 + 2i times the second row, so

[tex](1+2i) \eta_1 - 5\eta_2 = 0[/tex]

Let [tex]\eta_1 = 1-2i[/tex]; then [tex]\eta_2=1[/tex], so that

[tex]\begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} = 2i \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix}[/tex]

The eigenvector corresponding to [tex]\lambda=-2i[/tex] is the complex conjugate of [tex]\eta[/tex].

So, the characteristic solution to the homogeneous system is

[tex]x = C_1 e^{2it} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} + C_2 e^{-2it} \begin{bmatrix} 1 + 2i \\ 1 \end{bmatrix}[/tex]

The characteristic solution contains [tex]\cos(2t)[/tex] and [tex]\sin(2t)[/tex], both of which are linearly independent to [tex]\cos(t)[/tex] and [tex]\sin(t)[/tex]. So for the nonhomogeneous part, we consider the ansatz particular solution

[tex]x = \cos(t) \begin{bmatrix} a \\ b \end{bmatrix} + \sin(t) \begin{bmatrix} c \\ d \end{bmatrix}[/tex]

Differentiating this and substituting into the ODE system gives

[tex]-\sin(t) \begin{bmatrix} a \\ b \end{bmatrix} + \cos(t) \begin{bmatrix} c \\ d \end{bmatrix} = \begin{bmatrix} -1 & 5 \\ -1 & 1 \end{bmatrix} \left(\cos(t) \begin{bmatrix} a \\ b \end{bmatrix} + \sin(t) \begin{bmatrix} c \\ d \end{bmatrix}\right) + \begin{bmatrix} \sin(t) \\ -2 \cos(t) \end{bmatrix}[/tex]

[tex]\implies \begin{cases}a - 5c + d = 1 \\ b - c + d = 0 \\ 5a - b + c = 0 \\ a - b + d = -2 \end{cases} \implies a=\dfrac{11}{41}, b=\dfrac{38}{41}, c=-\dfrac{17}{41}, d=-\dfrac{55}{41}[/tex]

Then the general solution to the system is

[tex]x = C_1 e^{2it} \begin{bmatrix} 1 - 2i \\ 1 \end{bmatrix} + C_2 e^{-2it} \begin{bmatrix} 1 + 2i \\ 1 \end{bmatrix} + \dfrac1{41} \cos(t) \begin{bmatrix} 11 \\ 38 \end{bmatrix} - \dfrac1{41} \sin(t) \begin{bmatrix} 17 \\ 55 \end{bmatrix}[/tex]

Health insurance would be most helpful to Latoya.

Therefore, health insurance would be most helpful to Latoya.

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The statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.

To determine which statement is true, we need to know the conditions for continuity and differentiablity of a function.

So, since f(x) = {x² - 1 if -1 ≤ x ≤ 3 and x²/3 if 3 < x ≤ 8}

From the equality on the first condition,we see that f(x) is exists at x = 3 but is not continuous since f(x) changes to another function when x > 3. So,left hand limit of f(x) and the right hand limit of f(x) as x → 3 are not equal.

That is [tex]\lim_{x \to 3^{-} } f(x) \neq \lim_{x \to 3^{+} } f(x)[/tex] . Thus, the function is discontinuous at x = 3.

For differentiability, both conditions must be met. Since only one condition is met, it is non-differentiable.

So, the function is discontinuous and non-differentiable at x = 3.

So, the statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.

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let's keep in mind that i² = -1, and let's use the conjugate of the denominator.

[tex]\cfrac{2+5i}{3-2i}\cdot \cfrac{3+2i}{3+2i}\implies \cfrac{(2+5i)(3+2i)}{\underset{\textit{difference of squares}}{(3-2i)(3+2i)}}\implies \cfrac{6+4i+15i+10i^2}{(3)^2~~ - ~~(2i)^2} \\\\\\ \cfrac{6+19i+10(\stackrel{i^2}{-1})}{9~~ - ~~(2^2 i^2)}\implies \cfrac{6+19i-10}{9~~ - ~~4(\underset{i^2}{-1})}\implies \cfrac{-4+19i}{9+4}\implies -\cfrac{4}{13}+\cfrac{19i}{13}[/tex]

(D) 80°, 140°, and 70° group of segments cannot form a triangle.

To find which group of segments cannot form a triangle:

Therefore, (D) 80°, 140°, and 70° group of segments cannot form a triangle.

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Answer:

80, 140, 70

Step-by-step explanation: