Solve.


please and thank you!

Answer:

w = 2

Step-by-step explanation:

[tex]2\cdot \:4w-2\cdot \:1\\= 8w-2\cdot \:1\\= 8w-2\\-10\left(w-3\right)+4\\= - 10w - \left(-10\right)\cdot \:3\\= -10w+10\cdot \:3\\-10w + 30\\= -10w + 30+4\\= -10w + 34\\8(w)-2=-10w+34\\8(w) - 2+2 =-10w+34+2\\8(w)=-10w+36\\18(w)=36\\\frac{18(w)}{18} = \frac{36}{18}\\= 2[/tex]

Answer:w=2

Step-by-step explanation:

8w-2=-10w+30+4

8w-2=-10w+34

Add 10 w both sides

18w-2=34
add 2 both sides

18w=36

Divide by 18

W=2

The value of the greater integer is -8.

Given,

The sum of an integer and 6 times the next consecutive integer = -50

We have to find the value of the greater integer:

Let's take x as the integer.

Next consecutive integer be (x + 1)

Now,

x + 6(x + 1) = -50

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7

x = -8

The value of x is -8.

Now,

x + 1 = -8 + 1 = -7

That is,

-8 + (6 × -7) = -50

-8 -42 = -50

Here, the integers are of negative values.

So, the value of greater integer be -8.

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Answer:

angle TEA = 58 (which is 29 times 2) degrees

angle TEF = 37 (which is 74 divided by two 2) degrees

Step-by-step explanation:

The angle bisector divides a given angle into two equal parts

The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)

The point-slope form is given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (7- 0)/(-4 - 0) = -7/4

The value of m = -7/4.

y = -1.75x

Therefore, the point-slope form is y = - 1.75x

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Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!

Step-by-step explanation:

Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).

So, by using midpoint formula we have,

[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]

so the y - coordinate of the other end is y = 7

Answer:

Step-by-step explanation:

awnser is a

LM is the perpendicular bisector, median, and altitude of Δ JKL.

Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.

CPCTC is an abbreviation for "corresponding parts of congruent triangles are congruent," and it states that if two or more triangles are congruent, their corresponding angles and sides are also congruent.

CPCTC is frequently used at or near the end of a proof in which the student is asked to demonstrate that two angles or two sides are congruent. It means that if two triangles are proven to be congruent, the three pairs of sides that correspond must also be congruent, as must the three pairs of angles that correspond.

Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.

Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, LM is the perpendicular bisector, median, and altitude of ΔJKL.

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Answer:

Explanation:

a) To work out the average or mean age we must first calculate the total age.

19 x 2 = 38

20 x 3 = 60

21 x 1  = 21

22 x 4 = 88

23 x 1 = 23

Total = 230

Then... Divide the number of players with this figure

Number of players =  2 + 3 + 2 + 4 + 1 = 11

230/11 = 20.9 is the average age of the players

b) We know the average will now be 22 and we know the number of players is now 12.

So... 22 x 12 = 264 (This will be the new total age of all the players)

We know the previous total was 230

So 264-230 = 34 (years old)

I hope this helps you! :)

Person B recovers their investment in a shorter amount of time.

In order to determine the recovery time, divide the total cost of college by the salary that is earned after graduating from college.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Recovery time = cost of college / salary after college

Recovery time for person A  = $45,000 / $33,000 = 1.36

Recovery time for person B  = $30,000 / $37,000 = 0.81

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Answer:2.5

Step-by-step explanation:

5/2=2.5

Answer:

0.916...miles per hour

Step-by-step explanation:

speed = distance/ time

12:30 - 7:30 = 5hours

275/ 5x60

275/300

=0.9166666667 miles per hour

( you can round this depending on whether it's to the nearest mile or 3 sf or something)

hope this works :)

Answer:

points

Step-by-step explanation:

A function assigns the values. The given statement "If {x⁴=16}, then x=2" is true.

A function assigns the value of each element of one set to the other specific element of another set.

The given statement "If {x⁴=16}, then x=2" is true. This is because we solve the equation x⁴=16 for the value of x as shown below, then the value of x will be 2, as shown below.

x⁴ = 16

x⁴ = 2 × 2 × 2 × 2

x × x × x × x = 2 × 2 × 2 × 2

x = 2

As it is seen that the value of x is 2. Although, the given statement may be false if the value of x is -2 because still the value of x⁴ = 16, but the only two options available are true and false. Thus, we can conclude that the given statement is true.

Hence, The given statement "If {x⁴=16}, then x=2" is true.

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Using the graph of h we get (a) Value of function h at x=5 is 8

(b)  Limit of h(x) at x=5 does not exist

(c) Value of function h at x=7 is 4

(d) Limit of h(x) at x=7 does not exist

(e)Limit of h(x) at x=8 is 5

Limit : Limit is the value that a function output approaches as the input  approaches to a certain value.

For any function g(x) , [tex]\lim_{x \to \22} g(x)[/tex] refers to the value that the  g(x) approaches as the x approaches to 2 from either left  hand side or from right hand side

From any graph we can easily see that to what value g(x)=y  on the curve is approaching when the x  is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.

For given graph h(x)

We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4

As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then  or limit of h(x) at x=5 does not exist

As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then  or limit of h(x) at x=7 does not exist

As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is  5

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According to the question, a project has a duration of [tex]20[/tex] weeks and a standard deviation of[tex]4[/tex] weeks. And the calculated weeks to complete the [tex]35[/tex] percent work is [tex]18.4[/tex].

As per question, the critical path is the longest path from start to finish. It tells the minimum time required to finish the assigned project.

As per the question, the given data is as follows:

Time Duration = [tex]20[/tex] weeks, Standard Deviation = [tex]4[/tex] weeks, Completion = [tex]35[/tex] percent

[tex]Z = \frac{S-T}{var} =18.4[/tex]

The solution for the given question is [tex]18.4[/tex].

What is the critical path?

The critical path is the path for the assigned work and it is the longest path. This phenomena is used to calculate the minimum time for the project completion.

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Answer:

[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]

A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.

How can a weathervane be used to detect wind?

What does a weathervane with a wind vane display?

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[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]

the bottles were sold equal x / 45

Answer:

the length would be 9.6 and the width would be 2.4

Step-by-step explanation:

9.6×2= 19.2

2.4×2= 4.8

19.2+4.8=24

say Steve is x ,then jenny will be x + 12

five years ago Steve's age was x - 5 and Jenny's age was x + 12 - 5= x + 7

since jenny was four times Steve's age 5 years ago the equation will be

x + 7 = 4(x - 5)

= x + 7 = 4x - 20

putting like terms together, we will have

4x - x = 20 + 7

= 3x = 27

this means 3x ÷ 3= 27 ÷ 3

x = 9

this means Steve is 9 years old and Jenny is 21 years old

The equation of the circle with radius 10 and center at (0 , 0) is x^2 + y^2 = 100.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 10

(x - 0)^2 + (y - 0)^2 = 10^2

x^2 + y^2 = 100

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The the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.

According to the given question.

We have a linear equation in one variable.

7(a+1)-3 a=5+4(2a-1)

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is given by

7(a+1) -3a = 5 + 4(2a - 1)

⇒ 7a + 7 - 3a = 5 + 8a - 4    (by distributive rule)

⇒ 4a + 7 = 1 + 8a

⇒ 7 - 1 = 8a - 4a

⇒ 6 = 4a

⇒ 6/4 = a

⇒ a = 3/2

Hence, the the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.

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Answer:

90 minutes...

Step-by-step explanation:

75+15....

It is proved that CM will be perpendicular to AB if M is midpoint of AB.

It is given that ΔABC is a right isosceles triangle with hypotenuse AB and M is midpoint of AB.

We have to prove that CM is perpendicular to AB.

What is an isosceles triangle ?

An isosceles triangle ΔABC is a triangle that has at least two sides of equal length i.e., AC= BC

As per the question ;

ΔABC is a right isosceles triangle with hypotenuse AB.

⇒ AC = BC (by the definition of isosceles triangle)

Also ;

M is midpoint of AB.

⇒ CM = CM  (reflexive property)

So ;

ΔACM ≅ Δ BCM (by SSS)

∠A = 45° and ∠B = 45° because of right isosceles triangle.

Also ;

∠ACM = ∠BCM

because they are corresponding angles of congruent triangles

i.e.,

∠ACB = 90°

Now ;

∠ACM + ∠BCM = ∠ACB

because they are adjacent angles.

∵

∠ACM = ∠BCM , so ;

∠ACM + ∠ACM = ∠ACB

2∠ACM = 90°

∠ACM = 45 °

∵

∠A = 45 ° and ∠ACM = 45°

⇒ ∠AMC = 90°

because the sum of angles in a triangle is 180°.

So ,

If ∠AMC = 90° , then CM is perpendicular to AB because perpendicular lines form 90° angles.

Thus , CM will be perpendicular to AB if M is midpoint of AB.

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Answer:

I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time

The value of x in the equation 3/7 = 12/x is equal to 28.

Proportion is a type of mathematical equation that is used to determine the value of the quantities that are not known by forming two equal ratios.

Ratios can be defined as an expression that is used to compare the size of two numbers in relationship to each other to determine how big is one number from the other.

The given proportion can be solved as follows:

3/7 = 12/x

3x = 12 × 7

3x = 84

If 3x is equal to 84, then x will be equal to:

x = 84/3

x= 28

Therefore, the proportion is solved as the value of x is found to be 28.

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