Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Answer:

Six years ago I was six I'm turning twelve in 2 days

Step-by-step explanation:

Answer:

a + 6

Step-by-step explanation:

My age six years ago was a.

My age now is a + 6.

The given equation is 1-degree linear equation in one variable.

What is linear equation?

A linear equation is one that may be written as a1x1+a2x2+......+anxn in mathematics, where a1, a2,...., an are the coefficients, which are frequently real integers. The coefficients, which may be any expressions as long as they don't contain any of the variables, can be thought of as the equation's parameters. The coefficients a1 to a must not all be 0 in order for the equation to have any sense. An alternative method for creating a linear equation is to equalize a linear polynomial over a field, from which the coefficients are drawn, to zero. The numbers that, when used to replace the unknowns in such an equation, result in the equality, are the solutions.

x+1 = x+1 is a 1-degree linear equation in one variable (x).

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Answer: 13,668 i think.

Answer:

  $4125

Step-by-step explanation:

Let 'a' represent the additional income Mrs. King must earn. In order for her disposable income to remain the same, we must have ...

  (66000 +a)(1 -0.20) = 66000(1 -0.15)

  66000 +a = 66000(0.85/0.80) = 66000(1 +0.05/0.80)

  a = 66000(5/80) = 4125

Mrs King must earn $4125 more before tax to maintain her after-tax income.

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

g = 200

Step-by-step explanation:

trust me.

I big brain.

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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The fraction is simplified to - 29/30 . Option B

A fraction is simply known as the part of a whole.

Types of fractions;

Given the fraction;

-2 + ( 1/ 2 + 1/ 3 + 1/ 5 )

Find the lowest common multiple

- 2 + (  15 + 10 + 6 /30 )

-2 + ( 31/30)

expand the bracket by finding the lowest common multiple, we have;

-60 + 31 / 30

Add the numerators

- 29/30

Thus, the fraction is simplified to - 29/30 . Option B

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Given:

Find-: Evaluate the expression.

Sol:

Formula:

So the value is:

value is:

So the value is 220.

Answer:

2+2= 4

Step-by-step explanation:

1+1+1+1= 4

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

No, least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relationship between two variables when the data indicates such a relationship.

The most used modeling technique is without a doubt linear least squares regression. It is what most people mean when they claim they fitted a model to their data using "regression," "linear regression," or "least squares."

The independent variable in a cause-and-effect relationship is the cause, while the dependent variable is the effect. A technique for predicting the value of a dependent variable Y based on the value of an independent variable X is known as least squares linear regression. That's why least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

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Answer: 3 · x or 3x or 3(x)

Step-by-step explanation:

Product = Multiply, so your answer would be 3x

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

D because 9 + 5 = 14 and one variable by itself is equal to 1 so 14 + 1 = 15 add the variable, 15x

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

If they are parallel then the answer should be 28m

Step-by-step explanation:

Answer:

98 m

Step-by-step explanation:

105/30 = 3.5

3.5 x 28 = 98

Answer:

The solution of the problem is \(y(t) = e^{2 t} cos(2 t)\)

Step-by-step explanation:

First we will write the characteristic equation which is

\(x^{2} -4x + 8 = 0\)

Now, we will solve this quadratic equation using the general formula.

Given a quadratic equation of the form, \(ax^{2} +bx +c = 0\), then

From the general formula,

\(x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(x = \frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

From the characteristic equation, \(a = 1, b = -4,\) and \(c = 8\)

Hence,

\(x = \frac{-(-4)+\sqrt{(-4)^{2}-4(1)(8) } }{2(1)}\) or \(x = \frac{-(-4)-\sqrt{(-4)^{2}-4(1)(8) } }{2(1)}\)

\(x = \frac{4+\sqrt{-16} }{2}\) or \(x = \frac{4-\sqrt{-16} }{2}\)

\(x = \frac{2+4i }{2}\) or \(x = \frac{2-4i }{2}\)

\(x = 2 + 2i\) or \(x = 2 - 2i\)

That is, \(x\) =  \(2\) ± \(2i\)

Then, \(x_{1} = 2 + 2i\) and \(x_{2} = 2 - 2i\)

These are the roots of the characteristic equation

The roots of the characteristic equation are complex, that is, in the form

(\(\alpha\) ± \(\beta i\)).

For the general solution,

If the roots of a characteristic equation are in the form  (\(\alpha\) ± \(\beta i\)), the general solution is given by

\(y(t) = C_{1}e^{\alpha t} cos(\beta t) + C_{2}e^{\alpha t} sin(\beta t)\)

From the characteristic equation,

\(\alpha = 2\) and \(\beta = 2\)

Then, the general solution becomes

\(y(t) = C_{1}e^{2 t} cos(2 t) + C_{2}e^{2 t} sin(2t)\)

Now, we will determine \(y'(t)\)

\(y'(t) = 2C_{1}e^{2 t} cos(2 t) - 2C_{1}e^{2t}sin(2t) + 2C_{2} e^{2t}sin(2t) +2C_{2}e^{2t}cos(2t)\)

From the question,

y(0) = 1

and

y'(0) = 2

Then,

\(1 = y(0) = C_{1}e^{2 (0)} cos(2 (0)) + C_{2}e^{2 (0)} sin(2(0))\)

\(1 = C_{1}e^{ 0} cos(0) + C_{2}e^{0} sin(0)\)

(NOTE: \(e^{0} = 1, cos(0) = 1\) and \(sin(0) = 0\) )

Then,

\(1 = C_{1}\)

∴\(C_{1} = 1\)

Also,

\(2 = y'(0) = 2C_{1}e^{2 (0)} cos(2 (0)) - 2C_{1}e^{2(0)}sin(2(0)) + 2C_{2} e^{2(0)}sin(2(0)) +2C_{2}e^{2(0)}cos(2(0))\)\(2 = 2C_{1}e^{0} cos(0) - 2C_{1}e^{0}sin(0) + 2C_{2} e^{0}sin(0) +2C_{2}e^{0}cos(0)\)

\(2 = 2C_{1} +2C_{2}\)

Then,

\(1 = C_{1} +C_{2}\)

\(C_{2} = 1 - C_{1}\)

Recall, \(C_{1} = 1\)

∴ \(C_{2} = 1 - 1 = 0\)

\(C_{2} = 0\)

Hence, the solution becomes

\(y(t) = e^{2 t} cos(2 t)\)

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

To win at LOTTO in one​ state there are 50 different selections.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, To win at LOTTO in one​ state, one must correctly select numbers from a collection of numbers​ (1 through 50 ​)

Now there are a total of (50 - 1) + 1 = 50 numbers.

∴ No. of different selections are​ possible is \(^{50}C_1\).

= 50!/(50 - 1)!×1!.

= 50!/49!.

= 50.

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Answer: 4.6

Step-by-step explanation: let the missing length be x

2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6

28+x=32.6

x=32.6-28

x=4.6

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

\(A=\frac{a+b}{2} h\)

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

\(A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32\)

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Given:

\(A=15^\circ, C=120^\circ,b=3\).

To find:

The length of side c.

Solution:

According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

\(m\angle A+m\angle B+m\angle C=180^\circ\)

\(15^\circ+m\angle B+120^\circ=180^\circ\)

\(m\angle B+135^\circ=180^\circ\)

\(m\angle B=180^\circ-135^\circ\)

\(m\angle B=45^\circ\)

According to the Law of sines,

\(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

Using Law of sines, we get

\(\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}\)

\(\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}\)

\(3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c\)

On further simplification, we get

\(\dfrac{3\sqrt{6}}{2}=c\)

\(3.674235=c\)

\(c\approx 3.7\)

Therefore, the length of side c is about 3.7 units.

Answer:

Y = -5

Step-by-step explanation:

the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.

general steps to find all values of x where f(x) = 1 for a given function y = f(x):

1. Set f(x) equal to 1: f(x) = 1.
2. Solve the equation for x. This may involve algebraic manipulation or using techniques such as factoring, completing the square, or using the quadratic formula, depending on the form of the equation.
3. If the equation has multiple solutions, list them all as the values of x where f(x) = 1. If the equation has no solutions, then there are no values of x for which f(x) = 1.

For example, if the function is y = x^2 - 2x + 1, then setting f(x) = 1 gives:

x^2 - 2x + 1 = 1

Simplifying this equation by subtracting 1 from both sides, we get:

x^2 - 2x = 0

Factoring out x, we get:

x(x - 2) = 0

This equation is satisfied when either x = 0 or x = 2. Therefore, the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.

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Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

correct

Step-by-step explanation:

it it is 10,000 because 10 * 10 * 10 = 10,000 but if it really wasn't that another way you could do it is I believe so 10 times three no cuz that's actually 30 10 times 20 or something but yeah correct