What are the 6 types of graphs?

Answer: Common difference = -4, and 25th term = -56

Step-by-step explanation:

The common difference, d, is 20 - 16 or 16 - 12, which is -4.

Using the formula [tex]a_{n}=a_{1}+(n-1)d[/tex], [tex]a_{25}=20+(20-1)*-4[/tex]

= 20 + 19 * -4,

= 20 - 76

= -56

Answer:

a) 14/4 or 3.5

b.) 148/15 or 9.8667

Step-by-step explanation:

a) 5¾ - 2¼

=23/4 - 9/4

LCM = 4

=23/4 - 9/4

=23. - 9

4

=14/4 OR 3.5

b) 7⅔ + 2⅕

=23/3 + 11/5

LCM = 15

=23/3 + 11/5

115. + 33

15

=148/15 OR 9.8667

There is no particular formula for substitution instead it is a method to solve the linear equations in two variables.

The substitution method is a simple method to solve a system of linear equations algebraically and find the solutions of the variables. As the name implies, it applies to finding the value of the x-variable in terms of the y-variable from the first equation and then substituting the value of the x-variable in the second equation.

In this method, we can find the value of the y-variable by solving the equation. And then, we can substitute the value of y in any of the given equations to find the value of x. 

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The inverse of a number is it's reciprocal. Consider a number y where y is not equal to zero. Then the inverse of y is the reciprocal of the y that is 1/y.

The inverse is a function or an operation which reverses the order of operation of another function or an operation”.

For example, Calculate the inverse of a number 5, 15, 35 and 46.

To find out the inverse of a number, we have to take the reciprocal of the given numbers.

So, the inverse of the number 5 will be 1/5.

The inverse of the number 15 will be 1/15.

The inverse of the number 35 will be 1/35.

The inverse of the number 46 will be 1/46.

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a. The null hypothesis (H0) is that the proportion of those who are adequately prepared financially for retirement is the same for people in the 66-69 age group who did not complete high school as it is for the population of the 66-69-year-old (71%).

The alternative hypothesis (Ha) is that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.

b. To calculate the p-value for this hypothesis test, we can use a one-sample proportion test. The sample proportion (p-hat) is 165/300 = 0.55. Using a z-test, with a z-score of -2.35 and a standard deviation of 0.058, the p-value is 0.011.

c. At a significance level of 0.01, the p-value of 0.011 is less than the significance level, so we reject the null hypothesis. We can conclude that there is evidence that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.

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The value of angle x in decimal place is 57.8°.

A decimal number's digits are assigned a place value according to a chart that displays decimal place values. A digit in a number's place value is, as far as we are aware, its numerical value. The correct placement of each digit in a decimal number is therefore determined using decimal place value charts, just like with other place value diagrams. In this chart, the place values of the digits before and after the decimal point are shown.

Draw the altitude of the triangle

We know that

sinθ =  Opposite / Hypotenuse

sin 38° = y/11

y = 11 sin 38°

y = 6.77

sin(x) = y/8

sin(x) = 6.77/8

sin(x) = 0.84625

sin(x) = 57.8°

Thus, the value of angle x in decimal place is 57.8°.

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Examining the right triangle figure attached the value of sin  A is

The trigonometry sin A is worked using the pneumonic SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

Information from the question, viewing from angle A

opposite = 20

adjacent = 15

hypotenuse = 25

The value of sin A is calculated using sin, SOH

et the angle be x

sin x = Opposite / hypotenuse

sin x = 20 / 25

sin x = 4 / 5

sin x is 4/5

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The angle bisectors of a triangle bisect at a common point that is equidistant from the all the sides of the triangle, this point of coincidence is called the incenter of the triangle.

Incenter all the time lies inside the triangle, the circle drained with incenter as the center is inscribed in the triangle and it is called incircle.

The use of Angle bisectors in real life are in architecture, for making quilts and in produce cakes.

It is also used in playing several games as well like football, rugby, billiards.

we use the point of concurrency for angle sever of a triangle theorem.

From that theorem, R is equidistant from the three sides of triangle ABC, so XR= YR = ZR

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In case of parallel lines, the of the lines are always equal.

And the product of slopes of perpendicular lines is -1.

We know that the parallel lines are the lines in a plane that are always the same distance apart.

Also, the parallel lines never intersect.

The slopes of parallel lines are always equal.

The y-intercept of parallel lines is different.

Whereas, the perpendicular lines are the lines that intersect at a right angle (90 degrees angle).

The product of slopes of perpendicular lines is -1.

All perpendicular lines are always intersecting lines, but all intersecting lines need not be  perpendicular.

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When triangle KLM is dilated with a scale factor of 0.75  the image K'L'M' will have sides reduced by the factor 0.75

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor.

The scale factor determines magnification or shrinking as follow

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

Hence for the triangle KLM, with a scale factor of 0.75, the sides will shrink by 0.75 = 3/4

Resulting to a smaller image K'L'M'

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Place your protractor on a straight line to measure the acute angle. Line up the horizontal line on the baseline of your protractor, placing the centre of your protractor over the vertex. Examine where the diagonal line crosses the protractor to specify the number of degrees in the acute angle.

Measuring angles is a significant topic in geometry. An angle can be measured by operating a protractor, precisely. An angle is measured in degrees, hence it's called ‘degree measure’.

One complete revolution is equivalent to 360 degrees, hence it is divided into 360 parts. Each part of the one complete revolution is a degree. If we know how to measure angles, then it will be very easy to construct an angle using a protractor.

Any angle whether it is an obtuse, acute, right or reflex angle, can be calculated using a protractor. Although we are able to differentiate between acute, obtuse or reflex angles, based on the right angle.

If we have two acute angles to calculate, then we cannot calculate the greater angle among the two. Thus, we have to use a protractor to measure the angles accurately.

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The definition of an equation is an algebraic expression that often connects unknown variables to known variables or constants.

A general rule is that the algebraic expression should take any of the following forms: addition, subtraction, multiplication, and division. Bring the variable to the left side and the other values to the right side in order to find the value of x. To determine the answer, simplify the values.

Equations are mathematical expressions that often connect unknown variables to known variables or constants. For instance, x + 2 = 15 and y2 = 4 are both equations. An equation's solution, also known as its root, is any value or group of values that may be used to transform the equation into a true statement.

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The derivative of e7 is 7e7. The derivative of e^x is e^x, so the derivative of e7 is e7 times the derivative of x, which is 1, so the derivative of e7 is 7e7

The derivative of e^x is e^x, so the derivative of e7 is e7 times the derivative of x, which is 1, so the derivative of e7 is 7e7

The derivative of a function is a measure of how the output of the function changes with respect to a change in the input. In this case, we are looking for the derivative of the function e^7. The derivative of e^x is e^x, so the derivative of e7 is e7 multiplied by the derivative of x, which is 1. Therefore, the derivative of e7 is 7e7. This means that for every one-unit increase in the input value, the output of the function is increased by 7e7. This is useful for understanding how the output of a function changes in relation to a change in the input value. Knowing the derivative of a function can help us to better understand its behavior and make predictions about its future values.

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Out of 100 messages, Trey sent 12 messages, Mary sent 15 messages and Lamar sent 75 messages.

Let the number of messages sent by Trey be x. So, the number of messages sent by Mary will be (x+10). The number of messages by Lamar will be 3×(x+10). Their sum of is 100, so representing the information in equation form.

x + x + 10 + 3(x + 10) = 100

Performing multiplication on Left Hand Side of the equation

x + x + 10 + 3x + 30 = 100

Performing addition

5x + 40 = 100

Rewriting the equation

5x = 100 - 40

Performing subtraction

5x = 60

x = 60/5

Performing division

x = 12

Messages sent by Trey = 12

Messages sent by Mary = 12 + 3

Messages sent by Mary = 15

Messages sent by Lamar = 3(15 + 10)

Messages sent by Lamar = 3×25

Messages sent by Lamar = 75

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Answer:the frist one

Step-by-step explanation:

Answer:

6x^2 - 5x - 4

Step-by-step explanation:

Here you go. A pic.

Answer:

2y-7=5

Step-by-step explanation:

since the number represents y

the product of 2 and a number would be 2y

then since it says seven less than that you subtract 7 from 2y

this gives you 2y-7

finally, it says its equal to 5

so then all you have to put is 2y-7=5 as your answer since it only asks you to make the equation based off the sentence, not solve it.

Answer: x=3-4y

                 _____

                   5

Step-by-step explanation:

Answer: x = 32 & y = 51

Step-by-step explanation:

Since

ΔMNP ≅ ΔTUS

Therefore

NP ≅ US

2x - y = 13

y = 2x - 13 __eq_1

Since

ΔMNP ≅ ΔTUS

therefore

∠N ≅ ∠U

so, if we find ∠N we'll be able to find ∠U as well



since the sum of angles of a triangle is 180, therefore

∠N = 180 - (∠M + ∠P )

∠N = 180 - (142 + 24)

∠N = 14°

we know ∠N ≅ ∠U

therefore

14 = 2x - 50

2x = 64

x = 64÷2

x = 32 __eq_2

putting eq_2 in eq_1

y = 

2x - 13

y = 2 (32) - 13

y = 51 __eq_3

x = 32 & y = 51 ...Answer

hope that helps...

So, Sarah receives $9 as her allowance every week.

Sarah wants to deposit her allowance for 16 weeks straight, so she will have a total of $355 in her account.

We know that she had $211 initially in her account and after 16 weeks, she will have $355.

So the amount she will have to deposit every week as her allowance is:

$355 - $211 = $144

We can divide the total amount of allowance by the number of weeks to find out how much she receives per week:

$144 / 16 = $9

Therefore, Sarah receives $9 as her allowance every week.

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After 8years the investment will have worth 2800

Simple interest is the interest amount for a particular principal amount of money at some rate of interest. In contrast, compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Simple interest is given as:

I = (P×R×T)/100

where P = principal

R = rate of the interest

T = time for the loan / savings

therefore I = 2000× 5× 8/100

I = 800

Therefore that amount realized after 8years

= 2000+800 = 2800

therefore the investment will worth 2800 after 8 years.

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lado Chus machigne Randi ko ban

Step-by-step explanation:

lado Chus bosadike louder you mother father mc mf

The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.

What is ratio ?

ratio can be defined as the given value divided by the total value.

Given ,

A ribbon is cut into two pieces. The length of the longer piece is 60 inches and the length of the shorter piece is 12 inches.

The number of times the length of the shorter piece is the longer piece is

let the number of times be x .

so,

x = 60/12

x = 5

The total length could be = 60+12 = 72

hence, The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.

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The order of g is a power of 2, Hence G is abelian.

Everything is in order, with the exception of identification.

2, then  a2=e

where  a∈G

 (including identity this time). So,  a−1=a

  for all  a∈G

Hence  ab=(ab)−1=b−1a−1=ba

 for all  a b∈G

For every x∈G

we have x2=e

where e

represents the identity in.

Then x−1=x

Now, let a,b

be two arbitrary elements in G

We have ab=(ab)−1=b−1a−1=ba

Hence G is abelian.

(First equality is true because  ab

is also an element of  G

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Answer:

=4r⁷

Step-by-step explanation:

(2r⁹) (8r⁴)

=_____

4r⁶

16r¹³

=______

4r⁶

=16r¹³ ÷ 4r⁶

=4r⁷.

Answer: 4r⁷

Step-by-step explanation: (2r⁹) (8r⁴) = _____ 4r⁶ 16r¹³ = ______ 4r⁶ 16r¹³ ÷ 4r⁶ 4r⁷

The value of x when y = 37.5 if y varies directly as x and y = 5 when x = 0.4 is 3

y = k × x

Where,

k = constant of proportionality

If y = 5 when x = 0.4

y = k × x

5 = k × 0.4

5 = 0.4k

divide both sides by 0.4

k = 5/0.4

k = 12.5

If y = 37.5, find x

y = k × x

37.5 = 12.5 × x

37.5 = 12.5x

divide both sides by 12.5

x = 37.5 / 12.5

x = 3

Therefore, the value of x when y = 37.5 is 3

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The value of x from y is x = 3

From the question, we have the following parameters that can be used in our computation:

y varies directly as x and y = 5 when x = 0.4,

The equation of direct variation is

k = y/x

So, we have

k = 5/0.4

Evaluate

k = 12.5

So, we have

y/x = 12.5

When y = 37.5. we have

37.5/x = 12.5

Solve for x

x = 3

Hence, the solution is x  3

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Answer:

45y2

Step-by-step explanation:

The Booster Club sold 45 tickets to the adults and 110 tickets to the students.

In the given question, the Booster Club selling tickets wants to keep track of how many adult and student tickets they sold.

At a recent cross country meet, spectators had to pay to get in.

It cost $7 for adults and $3 for students.

However, they did know they sold 155 total tickets and made $645.

Let total x tickets sold to adults.

Let total y tickets sold to students.

They sold total 155 tickets. So the required equation is:

x + y = 155...(1)

The cost of one adult ticket is $7. So the cost of x tickets are 7x.

The cost of one student ticket is $3. So the cost of y tickets are 3y.

They earned total $645. So the required equation is:

7x + 3y = 645...(2)

Now solving the both equation using the elimination method

Multiply the equation 1 by 3 and then subtract by equation 2, we get

7x + 3y - (3x + 3y) = 645 - 465

After solving, we get

4x = 180

Divide by 4 on both side, we get

x = 45

Now putting the value of x in equation 1, we get

45 + y = 155

Subtract 45 on both side, we get

y = 110

Hence, the Booster Club sold 45 tickets to the adults and 110 tickets to the students.

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Answer:

Pascal's

Step-by-step explanation:

If x is the quantity of trick skis sold and y is the quantity of slalom skis sold, and x and y are both nonnegative numbers, then x 0 and y 0.

We can see from the first row of the table that 6x + 4Y 216 because 6x indicates the work hours required to make x number of trick skis and 4y is required to make y number of slalom skis. We get at 6X + 4Y 216 since the sum (6x+4y) cannot be greater than 216 hours.

Using a similar logic, the second row provides us with the following inequality:

X + Y ≤ 40

X 0 Y 0 6 X + 4 Y 216 X + Y 40

The points at the vertices are:

A = (0, 0)\sB = (0, 40)\sC = (12, 28)\sD = (33, 0) (33, 0)

By intersecting the border lines, one can locate each vertex point. For instance, the intersection of the boundary lines 6x+4y = 216 and x + y = 40 is point C.

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