Simplify: (x - 7)(6x - 3)

Answer:

(2,4) and (5,1) --> negative slope

(6,-3) and (-6, -3) --> zero slope

(3,5) and (-1,2) --> positive slope

(-7,8) and (-7,0) --> undefined slope

Step-by-step explanation:

To find the slope of a function, we use the formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{rise}{run}[/tex] (rise/run)

1. [tex]m=\frac{1-4}{5-2} =-1[/tex] (negative slope)

2. [tex]m = \frac{-3--3}{-4-6} =0[/tex] (zero slope)

3. [tex]m = \frac{2-5}{-1-3} =\frac{3}{4} =0.75[/tex] (positive slope)

4. [tex]m=\frac{-7-8}{-7--7} =\frac{-15}{0} = ?[/tex] (undefined slope)

Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

The sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.

A number that is divisible by two into two equal whole numbers is called an even number. Even numbers are those that end in 0, 2, 4, 6, and 8.

The problem can be solved using the arithmetic sequence. The sum of the first 100 even numbers will be,

[tex]\text{Sum of first 100 even numbers} = \dfrac{100}{2} \times [2(2) +(100-1)2]=10,100[/tex]

The sum of the first 101 odd numbers will be,

[tex]\text{Sum of first 101 odd numbers} = \dfrac{101}{2} \times [2(1) +(101-1)2]=10,201[/tex]

Hence, the sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.

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Answer:

dav d

Step-by-step explanation:

Answer:

Sample Response: Scientific notation is used to represent very large and very small numbers. Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.

im sorry that other person answered, well wierd but thats what im here for.

:)

Answer:

The most reasonable is 2 h

Step-by-step explanation:

If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.

The right answer is 28 cm

look at the attached picture⤴

Hope it will help u....:)

Answer:

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Step-by-step explanation:

Answer:

Area: 5π/2 in²

Perimeter: (3π+2) in

step-by-step explanation:

Area =

larger semicircle + small semicircle

= ½(pi × r1²) + ½(pi × r2²)

r1 = 2 in

r2 = 2/2 = 1 in

Area:

½(pi × 2²) + ½(pi × 1²)

= 2pi + ½pi

= 5pi/2 in²

Perimeter:

½(2pi × r1) + ½(2pi × r2) + r1

½(2pi × 2) + ½(2pi × 1) + 2

2pi + pi + 2

3pi + 2

Answer: The probability is 0.013

Step-by-step explanation:

Out of 80 people, 28 of them dance with the hands touching the ground.

Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.

For the first selection, this is p1 = 28/80

now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)

for the third and the fourth we have:

p3 = 26/78

p4 = 25/77

Then the probability of the fourth events is equal to the product of the four probabilities:

P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013

Answer:

The probability that each of the 4 dance with their hands touching the floor is 0.0129.

Step-by-step explanation:

There are a total of 80 people and out of them, 28 dance with their hands touching the floor. The probability of selecting a person who has their hands touching the floor while dancing can be computed as 28/80.

We are asked to computed the probability that four people are selected at random and all four of them dance with their hands touching the floor. The probability for selecting the first person is 28/80. For the second person, the total no. of people are now 79 and the people who can dance with their hands touching the floor are 27. So, the probability is 27/79. Similarly, for the third person, the probability is 26/78 and for the fourth person, the probability is 25/77.

So, the probability that all four people selected dance with their hands touching the floor is:

28/80 * 27/79 * 26/78 * 25/77 = 0.0129

Ben- unit price is 10.95

7 games= 76.65

Roberto- unit price is 6.57

7 games=  45.99

The unit price of a video game at Ben's Game World is $10.95, and 7 games would cost $76.65. Video games at Roberto's Electronics would cost $6.57 per game after applying the discount, with 7 games totaling $45.99.

The student has asked for help with finding the unit price of video games in a sale at Ben's Game World and comparing this to the cost of video games at Roberto's Electronics. We are given that Ben is selling a pack of 4 video games for $43.80. To find the unit price, we divide the total cost by the number of games.

Answer: the tan. Of 60 is .3200

The cos. Of 45 is .5253

Hope this helps :)

Step-by-step explanation:

Answer:

[tex] \sqrt{ \frac{3}{2} } [/tex]

Step-by-step explanation:

[tex] \tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} } [/tex]

[tex] = \sqrt{ \frac{3}{2} } \: [/tex]

Answer:

m=37

Step-by-step explanation:

The 2 angles are complementary, or add to 90 degrees. Wee know this because of the little square in the corner that indicates a right angle, which is equal to 90 degrees.

m+53=90

Solve for m by getting m by itself. To do this, subtract 53 from both sides to "reverse" the addition being done to m.

m+53-53=90-53

The 53s on the left cancel, and we are left with:

m=37

Answer:

M = 37°

Step-by-step explanation:

M + 53° = 90°

M = 90° - 53°

M = 37°

Answer:

The answer is 11%

Step-by-step explanation:

Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish. Veronica surveyed her classmates about which types of pets they own. The graph shows her data. so that make it 11% Make me brain-list Please

Answer:it is 11%

Step-by-step explanation: just t r u s t me

and it makes sense

Answer:

Step-by-step explanation:

nth term = n - 4

A) 1st term = 1 - 4 = -3

2nd term = 2 - 4 = -2

3rd term = 3 - 4 = -1

First three terms are:  -3, -2, -1

b) tenth term = 10 - 4 = 6

a) The first three terms of the sequence are -3, -2, and -1.

b) The tenth term of the sequence is 6.

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12 pounds

Step-by-step explanation:

New Weigh = 132 + 60 =192 ounces

(New Weigh = Old Weigh + Weigh gained)

Since 1 pound = 16 ounces

New Weigh = 192 ÷ 16 = 12 pounds

therefore New

Answer: 12 pounds!

Step-by-step explanation:

I hope it helps!

Good luck!

Look at the attached picture⤴

Hope this will help u...

The length of the radius, r, is 21 cm. The correct answer is **c. 21 cm**.

Here's why:

- The circumference of a circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius.

- We are given that the circumference of circle O is 42π.

Substituting the given value into the formula:

42π = 2πr

Dividing both sides by 2π:

r = 42π / 2π

Simplifying:

r = 21

Therefore, the length of the radius, r, is 21 cm.

Options a, b, and d are incorrect because they either involve taking the square root of the circumference directly (invalid formula for radius) or miscalculating the result of the division.

Answer:the answer is 6

Step-by-step explanation:

Answer:

27.6°

Step-by-step explanation:

Drop a Perpendicular from C to AD, call the foot X

CXD is a right angle triangle

CX = 6 cm

XD = 23 - 9 - [sqrt(6.5² - 6²)]

XD = 11.5

Tan(Angle CDA) = CX/XD = 6/11.5

Angle CDA = 27.55281158

Answer:

3 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 1/4. 3.5

1.1

Answer:

3.14

Step-by-step explanation:

Answer:

1/2 or 0.5 either way they're both right

Step-by-step explanation:

The slope of the line is 1/2

The formula for calculating the slope of the line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, using the coordinate points (0, 2) and (-4, 0)

Get the slope using the coordinate;

[tex]m=\frac{0-2}{-4-0}\\m=\frac{-2}{-4}\\m=\frac{1}{2}[/tex]

Hence the slope of the line is 1/2

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Answer:

327/28 or 11 19/28

Step-by-step explanation:

Get common denominator, convert into improper fraction and subtract.

The solution of expression [tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex] after subtraction would be, [tex]11\dfrac{19}{28}[/tex]

Given that,

The fractions to subtract,

[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]

Used the subtraction method to find the subtraction of expression.

Here, The fractions to subtract,

[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]

Change the mixed fraction into an improper fraction,

[tex]\dfrac{115}{7} - \dfrac{19}{4}[/tex]

Take LCMof 7 and 4 = 28

Now, make the denominator the same by taking LCM,

[tex]\dfrac{460}{28} - \dfrac{133}{28}[/tex]

[tex]\dfrac{460- 133}{28}[/tex]

[tex]\dfrac{327}{28}[/tex]

So, the solution of fraction after subtraction,

[tex]11\dfrac{19}{28}[/tex]

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Answer:

23 degrees

Step-by-step explanation:

62+95=157

180-157=23

Answer: The answer is 23 degrees. (Friend me and vote me brainliest)

Step-by-step explanation: A triangle is always equal to 180 degrees. So when they gave you both sides of the triangle, you add them up and subtract your sum from 180.

Answer:

  15. 50 kg

  16a. 5 kg

  16b. 3.75 kg

Step-by-step explanation:

The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².

  F = ma

  m = F/a . . . . . divide by a

__

15. m = (250 N)/(5 m/s²) = 50 kg

__

16a. m = (15 N)/(3 m/s²) = 5 kg

16b. m = (15 N)/(4 m/s²) = 3.75 kg

_____

Comment on units

Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).

Answer:

$340.54 flooring

$116.21 paint

$107.73 trim

=$564.48

Step-by-step explanation:

the living room is 2418ft^3

area is 201.5ft^2

perimeter is 57ft

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(t)= 40*1.9^t/3

A function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) =[tex]40 + 12t[/tex] (in t weeks).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The number of people who received letters three weeks later:

= [tex]40 + \frac{9}{10} \times40[/tex]

= [tex]76[/tex]

The number of people who received letters one week later:

= [tex]40+(\frac{9}{10} \div3)\times40[/tex]

= [tex]52[/tex]

The number of people who received letters t week later:

= [tex]40+(\frac{9}{10} \div3).t\times40[/tex]

= [tex]40 + 12t[/tex]

So, a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) = [tex]40 + 12t[/tex] (in t weeks).

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Answer:

Step-by-step explanation:

min= 40

q1=43

med=61

Q3=65

max=97

you just need to put data into the table and do 1-var stats for this problem

The minimum data value is: 40

The first quartile is: 43

The median data value is: 61

The third quartile is: 65

The maximum data value is: 97

The data is presented in a stem and leaf plot.

A stem and leaf plot is a defined as table where values of data are split into a stem and leaf. The first digit or digits will be written in stem and the last digit will be written in leaf

According to the 1st row: 4 | 0 1 3

The weights are: 40, 41, 43

According to the 2nd row: 5 | 0 8

The weights are: 50, 58

According to the 3rd row: 6 | 1 2 3 5

The weights are: 61, 62, 63, 65

According to the 4th row: 7 | 8

The weight is: 78

According to the 6th row: 9 | 7

The weight is: 97

So, all the data for the weights are:

40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97

We can now determine the five-number summary as follows:

The minimum data value is: 40

(40), 41, 43, 50, 58, 61, 62, 63, 65, 78, 97

The first quartile is: 43

40, 41, (43), 50, 58, 61, 62, 63, 65, 78, 97

The median data value is: 61

40, 41, 43, 50, 58, (61), 62, 63, 65, 78, 97

The third quartile is: 65

40, 41, 43, 50, 58, 61, 62, 63, (65), 78, 97

The maximum data value is: 97

40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)

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in general:

if delta>0 the equation has 2 solutions

if delta=0 the equation has 1 solution

if delta<0 the equation doesn't have real solutions

here :

delta=-4n

if n>0=> delta<0 => c) never

Answer:

273

Step-by-step explanation:

base (l times w) times height

Answer:

273 inch³

Step-by-step explanation:

v = l*h*w

v= 6 1/2 * 3 1/2 * 12

v= 13/2 * 7/2 * 12

v= 273

Answer:

0.5

Step-by-step explanation:

The formula for circumference is:

pi * d

3.14 = 3.14*d

1 = d

Since the radius is 1/2 of diameter, r = 0.5