Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answer:

(4,0) & (9,5)

Step-by-step explanation:

Where the equations cross are the solutions!

Hope this Helps! :)
Happy Studies

Answer:

After 18 years, Fred would have earned $40,675.05

Step-by-step explanation:

Since we know that Fred has $13,915 and the interest annually (every year) is 6.14%, we can just solve for 18 years.

In the case, the equation would be the following:

13.915 x (1 + 0.0614) ^ 18

This equation would get you $40,675.05

Hope this helped! :D

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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The purchase value of an office computer is $12,500. Its annual depreciation is $1875. then the value of the computer after 6 years is

1250

What is the simple definition of depreciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The value of the computer is decreasing by $1875 annually per year. So the amount of decrease in 6 years is: 6×1875=$11250 6 × 1875 = $ 11250

now

The purchase value of an office computer is $12,500

therefore

12500- 11250

= 1250

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Answer:

alternate interior angles are congruent

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Using Pythagorean theorem, the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.

What is Pythagorean Theorem?

The Pythagorean Theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem is expressed mathematically as:

a² + b² = c²

Now,

Let's height of the house = "h":

Using Pythagoras

a² + b² = c²

Where "a" and "b" are the lengths of the slanted sides and "c" is the height of the house. We know that "a" and "b" are both 5 feet long, and the bottom of the house is 6 feet across. Let's use this information to find "c":

a = b = 5 feet

b = 6 feet

c² = a² + b²

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √(61)

c ≈ 7.81 feet

So the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.

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what number would come next in the sequence? 3,11,19,27,35

we have

a1=3

a2=11

a3=19

a4=27

a5=35

so

a2-a1=111-3=8

a3-a2=19-11=8

a4-a3=27-19=8

a5-a4=35-27=8

This is an arithmetic sequence and the common difference d is equal to 8

the next term is

a6=a5+d

a6=35+8=43

answer is 43

Part 2

if Victoria were to put in his school at(0;0) on a coordinate plane her house house would be located at(6,8) if each unit is equal to half of a mile how many miles away from is Victoria house?

Find out the distance

The formula to calculate the distance between two points is equal to

substitute the given values

Remember that

each unit is equal to half of a mile

so

10(1/2)=5 miles

the answer is 5 miles

The value of x is given as follows:

x = 26.

To obtain the value of x, first we must consider that the angle between the two lines, to the left of the transversal line, is congruent to the angle of 5x - 7.

Then the angle stated above is a consecutive interior angle with the angle of (2x + 5)º, meaning that they are supplementary angles, that is, the sum of their measures is of 180º.

Hence the value of x is obtained as follows:

5x - 7 + 2x + 5 = 180

7x = 182

x = 182/7

x = 26.

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The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because

Answer:

I THNK MAY BE 28 by putting value of x and finding value of y.

Step-by-step explanation:

4x-12=2x+8

or,4X-2x=12+8

or,2x=20

or,x=20/2

therefore, x=10

then do, 4x-12+7y+12=180 the answer which comes is your required ans . it may be 28

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent expression is ~

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's evaluate f(b - 2) ~

Answer:

b^2-10b+ 17

Step-by-step explanation:

f(b-2) = (b-2)^2-6(b-2)+ 1

= b^2 + 4 - 4b -6b + 12 +1

=b^2-10b+ 17

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

\(perimeter = (side + side + side)\)

substitute:

\(p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ \)

group like terms together:

\( = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q\)

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

h

Step-by-step explanation:

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

1/36, or approximately 0.028

Step-by-step explanation:

The probability of getting the same number on two six-sided dice is 1/6, or approximately 0.17.

This is because there are six possible outcomes for each dice, and only one of those outcomes results in the same number on both dice (for example, both dice showing a 6).

So, out of the 36 possible outcomes when rolling two dice, only one of them results in the same number on both dice. Therefore, the probability of this happening is 1/36, or approximately 0.028.

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:

So Andre earns $4,000 per month, so that means the entire pie chart represents all $4,000. Now that you know that, you just have to know what each percent is of 4,000.

For example: For rent it says 33%. 33% of 4,000 is the same as (33% × 4,000), which is $1,320. So that means rent is $1,320 per month, I'm guessing.

Other = $880

Savings = $1,000

Utilities = $320

Groceries = $480

Formula is: (Percent × "number you want to know percent of")

Hope this makes sense, if I'm right, could you mark me brainliest please :)

Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

= 0.9538

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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Answer:

60 miles

Step-by-step explanation:

por que si es la verdad

Answer:

4x - xy + 46

Step-by-step explanation:

sum the first 2 expressions

3x + 2xy - 22 - x + 7xy + 11 ← collect like terms

= (3x - x) + (2xy + 7xy) + (- 22 + 11)

= 2x + 9xy + (- 11)

= 2x + 9xy - 11

now subtract this sum from the third expression

6x + 8xy + 35 - (2x + 9xy - 11) ← distribute parenthesis by - 1 )

= 6x + 8xy + 35 - 2x - 9xy + 11 ← collect like terms

= (6x - 2x) + (8xy - 9xy) + (35 + 11)

= 4x + (- xy) + 46

= 4x - xy + 46

Answer:

y= x -1.25

Step-by-step explanation:

Use slope= y2-y1/x2-x1

(13.75, 12.50), (3.25 , 2.00)

12.50 -2.00/ 13.75 -3.25

10.50/ 10.50

slope= 1

Substitute into y=mx+b

12.50= 1(13.75) +b

b= -1.25

y= x -1.25

Answer:

What is the expected value for the insurance company?

E(x) = 0.9986*161 + 0.0014*(-99839) = $21.00

Step-by-step explanation: Ur welcome

There is a 0.9986 probability that a randomly selected 30 year old male lives through the year. A life insurance company charges $161 for insuring that the male lives through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit.

========================================================

Explanation:

Going from the first term to the second, we add on -2

Then going from the second term to the third, we add on +2

This inconsistency (-2 vs +2) means we don't have a common difference, and therefore the sequence is not arithmetic.

------------

Now let's divide each term by their previous term

term2/term1 = 0/2 = 0

term3/term2 = 2/0 = undefined

We can stop here and conclude that we don't have a common ratio either, so this sequence is not geometric.

------------

Side note: The subsequence 0,2,4,6,... is arithmetic with common difference d = 2 because we add 2 to each term. It's that first 2 in the original sequence that breaks everything.