The following table represents a linear function. use the value in the tables to find the slope of the line.

Answer:

x=11 again

Step-by-step explanation:

Like the previous problem, the interior angles of a triangle add up to 180 (well, it's always true but whatever), so you want to find angle GFH (the acute angle at F) to complete your information. 180-137=43, so angle F equals 43

The sum of angles F, G, and H equal 180, so add them all up

This gives 10x+70, set this equal to 180

10x+70=180

Solving gives 10x=110

x=11

(Once again wow)

the quotiant of a number and 3 is 8​:

nine times a number is -63:

Answer:

Domain: [tex][2, \infty)[/tex], Range: [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer

Explanation

The confidence interval

From the triangle shown, we have three important informations:

- It is a right triangle, because it has a right angle, mHEF.

- Its hypotenuse has length 8, HF = 8.

- Its two legs has the same length, HE = EF.

Because it is a right triangle, we can use the Pythagora's Theorem:

And we know that:

Thus:

ANSWER:

150 coins

STEP-BY-STEP EXPLANATION:

We know that of the total that the pirate initially had 2/3 I keep them in a chest and the rest he distributed, the rest corresponds to 1/3 of the total.

Now, if each one received 25 coins, and 3 three members, it means that 1/3 is equivalent to 3 times 25 coins, that is, 75 coins.

Now, if 1/3 is 75 coins, 2/3 proportionally would be:

Which means that the pirate kept 150 coins in the chest

The given terms are

Notice that these terms are not like terms because one has variable and the other one doesn't.

Remember that like terms are those terms that have the same variable with the same exponent.

The values of x and y are 45 and 8.

When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.

Given:

Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.

As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.

To determine the values of x and y we equate the given angles to 90°.

2x = 90°

⇒ x = 45

And 11y+2 = 90°

⇒ 11y = 90-2 = 88

⇒ y = 8

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decrease in tornadoes = 943-897 = 46

% decrease in tornadoes = (decrease in tornadoes) / (initial amount of tornadoes) x 100%

Since the diagram is symmetric ,

so,

Considering the triangle PQT is,

Using the pythagoras theorem on triangle PQT,

Hence, the value of QT is 10.24

In 1 day, Candice and Porter will have collected 23 signatures each, using a system of equations.

Equations are mathematical statements that claim that two expressions are equal or equivalent.

Equality is depicted using the equation sign (=).

                                                                                   Candice   Porter

The number of signatures collected for nomination     21          18

Average collection of signatures per day                       2           5

Let the total signatures collected by Candice on day x = 21 + 2x

Let the total signatures collected by Porter on day x = 18 + 5x

The day the two candidates will have collected the same signatures is set as equality:

21 + 2x = 18 + 5x

21 - 18 = 5x - 2x

3 = 3x

x = 1

Check:

Total signatures collected by on day 1:

Candice = 21 + 2x = 21 + 2(1) = 23

Porter = 18 + 5x = 18 + 5(1) = 23

Thus, for Candice and Porter to have collected the same number of signatures, it will take them 1 day and each will have 23 signatures, using a system of equations.

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We have the following limit:

To determine which table best reflects function g(x) values, we analyse the limit.

0. x → 9 means that we must analyze the function g(x) in the range of values of x very near the value x = 9.

1. lim = 5 means that for the values of x very near to x = 9, the value of the function must be a number near to 5.

1) From point 1, we can discard the second option because the table shows values of x near x = 5, not x = 9.

2) From point 2, we can discard the first and fourth options:

• the first option shows a jump up from the value y = 4.997 to y = 10.030,

• the fourth option shows a jump down from the value y = 100.00 to y = 4.570.

3) The third option is the correct one. It has values of y near to y = 5 for values of x near to x = 9.

Third option

Answer:

Third one

Step-by-step explanation:

The third one down has g(x) values across the board that are just about '5' for any value of x,  thus g(x) = 5

 the others have widely varying values not close to 5

Answer:

D

Step-by-step explanation:

The GCF in answer choice A is 15.

The GCF in answer choice B is none.  

The GCF in answer choice C is 9 since 45 is divisible by 9 and 9 is divisible by itself

D is correct as 55/5 = 11 and cannot be divided anymore.  And 20 is divisible by 5

The unit rate expression is 19/2 or 7.5 units.

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilise this technique for math computations. This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

This approach allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many unit.

Given:

Total time taken= 19 minutes

Total distance = 2 miles

Now, find the unit rate we have to divide the

unit rate = 19/2

              = 7.5

Hence, the unit rate is 7.5 units.

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we have the equation

Solve for x

step 1

Apply distributive property on the left side

Combine similar terms on the left side

step 2

Adds 73 on both sides

step 3

Divide both sides by 9

Answer:

Yes,econometrics science and commerce are related

Answer:

well I can answer b the shape here is a 3D  Hexagonal pyramid

,First we need to find the slope of the line that passes through (12, -16) and (-2, -11)​

the slope can be calculated using these points

(12, -16)=(x1,y1)

(-2, -11)​=(x2,y2)

the formula to calculate the slope is

we substitute the values

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m

so if m=1/2

the slope of a perpendicular line will be m=-2

y=−2x+6

Explanation:

the equation of a line in

slope-intercept form

is.

∙xy=mx+b

where m is the slope and b the y-intercept

here m=−2and b=6

⇒y=−2x+6←

is the equation

Given that

The cost for producing items is 40x + 300 and the revenue collected is 80x - 0.5x^2

And we have to write an equation for the profit and also we have to find the profit.

Explanation -

The profit is basically the difference between revenue and cost.

So the profit will be

Substituting the values

(a). The profit equation will be, P = 40x - 0.5x^2 - 300

(b). Here the profit given is $300 (P=300) and we have to find the values of x.

Then,

So the two values of x are 20 and 60.

(c). Now we have to check whether the profit can be $15000 or not.

For this, we have to put P = 15000 in the quadratic equation and if we get a solution for x then it is possible otherwise it is not.

So, substituting P = 15000

The solution to this equation is not possible. So Company cannot make a profit of $15000.

Answer: The new weight-loss supplement was less effective on females because 45% of the females failed to lose weight.

Step-by-step explanation:

30% of the males didn't lose weight and 45% of the females didn't lose weight out of 100.

on the males 30% out of 100% did not lose weight

on the females 45% out of 100%  did not lose weight

Hope this is helpful or correct.

Answer:

2075 ft/minute

Step-by-step explanation:

31,275 - 22,975 = 8300, this is the decrease in altitude over 4 minutes.

By dividing the change in position by time you can find the rate of change.

8300/4

= 2075 ft/minute

The coordinates of the vertices of the rectangle are A'(x, y) = (3.5, 3.5), B'(x, y) = (3.5, 7), C'(x, y) = (10.5, 7) and D'(x, y) = (3.5, 10.5). The graph of the new pen is shown below.

We find a representation of a original pen, whose vertices are shown on Cartesian plane. The new pen is the result of dilating the original one by a scale factor of 3.5 and with center at the origin. The expression that describes the transformation is:

P'(x, y) = k · P(x, y)

Where:

If we know that A(x, y) = (1, 1), B(x, y) = (1, 2), C(x, y) = (3, 2), D(x, y) = (1, 1) and k = 3.5, then the coordinates of the resulting point are:

A'(x, y) = 3.5 · (1, 1)

A'(x, y) = (3.5, 3.5)

B'(x, y) = 3.5 · (1, 2)

B'(x, y) = (3.5, 7)

C'(x, y) = 3.5 · (3, 2)

C'(x, y) = (10.5, 7)

D'(x, y) = 3.5 · (1, 3)

D'(x, y) = (3.5, 10.5)

The graph of the resulting rectangle is shown below.

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first we solve the equation for y

on this line the slope is the coefficient of x, so the number that accompanies the variable x

the slope is

for a line to be perpendicular to it, it must have the inverted fraction and the opposite sign to the original slope

then

the slope of the perpedicular line is 4/9

and the slope of a parallel line must be the same slope, so

a_5 =5780

1) Given the 1st term a_1 =8 and the Recursive formula for this Sequence, let's find the 5th term by plugging and finding each term. Like this:

2) Since it is a Recursive Formula we need to recur to the previous term to find the subsequent one. So

Answer:

(-7, 3)

Step-by-step explanation:

Since the endpoints of the interval are not included, use parentheses.

As the graph is a straight line hence the it is a linear function.

The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

What is an isosceles triangle ?

An isosceles triangle is a triangle which has two equal sides and two equal angles.

It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.

We know that in an isosceles triangle the measure of two angles and two sides are equal.

The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.

∵ Sum of three angles of a triangle = 180°

∴ 42 ° + ( x + x ) = 180°

or

42 ° + ( 2x ) = 180°

2x = 180° - 42°

2x = 138°

or

x = 69°

As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.

Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

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The two-column method is used to prove that AB = CD as follows;

Statement                         [tex]{}[/tex]             Reasons

1. B is the midpoint of [tex]\overline{AC}[/tex]       [tex]{}[/tex]      Given

C is the midpoint of [tex]\overline{BD}[/tex]       [tex]{}[/tex]    

2. [tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]        [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex] 2. Definition of midpoint

3. [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex]       [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]  3. Definition of midpoint to a segment

4. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]       [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]   4. Transitive property of congruency

5. [tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex]        [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]   5. Definition of congruent segments

The midpoint of a segment in geometry is the point that bisects the line into two equal parts and serves as the centroid of the line. The distance from both ends of the segment to the midpoint are the same.

The transitive property of equality states that if a variable a equals a variable b and if the variable b equals the variable c then the variable a also equals the variable c.

Mathematically; If a = b, and b = c, then a = c

Two, segments, figures, or shapes in geometry are congruent if they have the same shape and size.

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