1. X1 Y1. X2, Y2
(-1,-6). ( -4,3)
Formula for slope which is m
Y2 -Y1 divide by X2-X1
3- -6/ -4 - -1= 9/-3= -3
So M = -3
Y=mx+b
-6= -3 (-1) +b
-6= 3+b
-3=-3
-9=b
Answer Y= -3x-9
2. X, Y
(-5,13)
Y=mx+b
13= 10+b
-10=-10
3=b
Answer C y= mx+b
y=-2x+3
3. (X1,Y1). (X2,Y2)
(3,-4). (5,-6)
Formula for m which is slope y2-y1 / x2-X1
-6- -4 / 5-3 = -2/2= -1 so m = -1
X, Y
(3,-4)
Y=mx+b
-4= -1(3)+b
-4= -3+b
+3=+3
-1. = b
Y= m x+b
-4= (-1) 3 +b
-4= -3. + b
+3= +3
-1. = b
Answer A y= -1x-1
Answer:
Answer Y= -3x-9 Answer C y= mx+b y=-2x+3 Answer A y= -1x-1
Step-by-step explanation:
The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?
Answer:
-189
Step-by-step explanation:
If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term
A Heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. select all TRUE statements.
A. The difference in height between the pelican and the heron is -33 feet
B. The difference in height between the pelican and the heron is 33 feet
C.The distance between the heights of the pelican and the heron is -33 feet
D.The difference in height between the pelican and the trout is -40 feet
E.The difference in height between the pelican and the trout is 40 feet
F .The distance between the heights of the pelican and the trout is 40 feet
Answer:
A, C, and E but I could be wrong.
Step-by-step explanation:
A because 50 - 17 = 33 so -33 will be your answer for that one.
C because the answer of 50 - 17 = 33.
E because 17 + 23 = -40 so the difference between the pelican and the trout is -40 feet altogether.
There are 3 numbers: 5,
The mean of the two smallest numbers is 4 and the mean of all three numbers is 9.
What is the mean of the two largest numbers?
solution
Mean of two smallest number (3+5 =8/2) =4
Mean of all the three (3+5+19 =27) 27/3 = 9
so the mean of two largest number is 19+5 = 24 /2 = 12
Final Answer
The mean of two largest Number is 12
Rework problem 23 from section 2.4 of your text involving congressional committees. Assume that the committee consists of 6 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?
Answer:
21/22 or 0.955 (3 sf)
43/66 or 0.652 (3 sf)
Step-by-step explanation:
P(atleast 1 Democrat)
= 1 - P(no Democrat)
= 1 - (6C4/11C4)
= 1 - 1/22 = 21/22 or 0.955 (3 sf)
P(atleast 2 Democrats)
= 1 - P(0 or 1 Democrats)
= 1 - 1/22 - (6C3×5C1)/11C4
= 1 - 1/22 - 10/33
= 43/66 or 0.652 (3 sf)
The probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To calculate the probability that the new subcommittee will contain at least 1, Democrat
⇒ 1 - P(no Democrat)
⇒ 1 - (⁶C₄/¹¹C₄)
⇒ 1 - 1/22
⇒ 21/22
⇒ 0.955
To calculate the probability that the new subcommittee will contain at least 2, Democrat
⇒ 1 - P(0 or 1 Democrats)
⇒ 1 - 1/22 - (⁶C₃×⁵C₁)/¹¹C₄
⇒ 1 - 1/22 - 10/33
⇒ 43/66
⇒ 0.652.
Thus, the probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).
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Twelve less than a number is the
same as 6, decreased by 8 times
the number. Find the number.
Answer:
The number is 2 . -angie:) . pls mark me brainliest!
Step-by-step explanation:
Let x be the number.
Equation is
x
−
12
=
6
−
8
x
x
+
8
x
=
6
+
12
9
x
=
18
x
=
2
5. Consider a cylindrical flowerpot with a radius 6 cm and a height of 11.5 cm. Calculate the lateral surface area of the painted pot.
Answer: 660 cm²
Step-by-step explanation:
Surface area of a cylinder = 2πr² ± 2πrh = 2πr ( r + h )
π = 22/7
r = 6 cm
h = 11.5 cm
Lateral surface area = 2 x 22/7 x 6 ( 6 + 11.5 )
= 660 cm²
Rewrite the equation by completing the square.
2 x^{2} -9 x +7 = 0
(x+blank )^2=blank
Rewrite the equation by completing the square:
[tex](2x + 9)^2 = \frac{53}{4}[/tex]
Solution:
Given that,
[tex]2x^2 - 9x + 7 = 0[/tex]
We have to rewrite by completing the square
Step 1:
The general quadratic equation is given as:
[tex]ax^2 + bx + c = 0[/tex]
Compare with given, we get,
a = 2
b = -9
c = 7
Step 2:
From given,
[tex]2x^2 - 9x + 7 = 0[/tex]
Subtract 7 from both sides,
[tex]2x^2 - 9x = -7[/tex]
Step 3:
Find square of half of b
[tex](\frac{b}{2})^2 =( \frac{-9}{2})^2[/tex]
Add the term to each side of equation
[tex]2x^2 - 9x + (\frac{-9}{2})^2= -7 + (\frac{-9}{2})^2[/tex]
Simplify
[tex]2x^2 - 9x + (\frac{9}{2})^2= -7 + \frac{81}{4}\\\\2x^2 - 9x + (\frac{9}{2})^2= \frac{53}{4}[/tex]
The left side is of form:
[tex](a-b)^2 = a^2 - 2ab + b^2[/tex]
Therefore,
[tex](2x + 9)^2 = \frac{53}{4}[/tex]
Thus the solution is found
Answer:
[tex](x+ -\frac{9}{4} )^{2} = \frac{25}{16}[/tex]
Khan
72 1/2 x 24 1/2 x 36
Answer:
63945
Step-by-step explanation:
Answer:
Step-by-step explanation:
72.5*24.5*36=
145*49*9=
63945
20 POINTS!!!! PLEASE ANSWER ALL OF THEM CORRECTLY AND EXPLAIN WHY ITS THE ANSWER!
At the zoo, the ratio of mammals to reptiles is 4:3. There are 20 mammals in the zoo.
(a) How many reptiles are in the zoo?
(b) If the zoo adds 12 more mammals to its collection, how many more reptiles will they have to add to keep the ratio the same?
(c) A zoo in a different city has a ratio of mammals to reptiles of 6:5. Which zoo has the larger ratio of mammals to reptiles?
Answer:
Step-by-step explanation: 4 ratio is bigger than 3
A Football game begins at 11:32.the game kast 3 hours 16 minutes¿when does the game end?
The football game would end at 2:48
11:32 + 3 hours = 2:32
2:32 + 16 minutes = 2:48
Hope this helps :)
What is the area of the piece of red paper after the hole for
the photograph has been cut?
17 square units
25 square units
39 square units
47 square units
Answer:
[tex]\large\boxed{\large\boxed{47unit^2}}[/tex]
Explanation:
The complete question is:
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.
On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).
What is the area of the piece of red paper after the hole for the photograph has been cut?
Solution
The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.
1. Area of the big rectangle
Vertices:
(- 4, 4) (4, 4)(4, -4)(-4, -4)The side length is the distance between two consecutive vertices:
The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:
[tex]4-(-4)=4+4=8[/tex]The area of this square is [tex](8unit)^2=64unit^2[/tex]
2. Area of the small square
Vertices:
(-3, -2)(- 2, 2) (2, 1)(1, -3)To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}[/tex]
The area is:
[tex](\sqrt{17}unit)^2}=17unit^2[/tex]
3. Area of the piece of red paper after the holw for the photograph has been cut:
Find the difference:
[tex]64unit^2-17unit^2=47unit^2[/tex]
Answer:
47
Step-by-step explanation:
How many ⅛-pint tubes can be filled
from a ¾-pint bottle of hydrogen
peroxide?
Answer:
6
Step-by-step explanation:
3/4 to get the common denominator of 8 would be 6/8. Then, divide by 1/8 to get 6.
48 ⅛-pint tubes can be filled.
To find out how many tubes can be filled:
Convert ¾ pint to eighths: ¾ pint = 6 eighths
Divide the total eighths by the eighths per tube: 6 eighths ÷ ⅛ eighths per tube = 6 ÷ 0.125 = 48 tubes
So, from a ¾-pint bottle of hydrogen peroxide, 48 ⅛-pint tubes can be filled.
Which of these is an example of delayed purchasing?
O
A. Paying for a drum set in six months and receiving the drum set
today
O
B. Paying for a drum set today and receiving the drum set today
O
C. Paying for a drum set in six months and receiving the drum set in
six months
O
D. Paying for a drum set today and receiving the drum set in six
months
SUBMIT
The correct option is A. Paying for a drum set in six months and receiving the drum set today.
What is purchasing?Purchasing is the organized acquisition of goods and services on behalf of the buying entity. Purchasing activities are needed to ensure that needed items are obtained in a timely manner and at a reasonable cost.
here, we have,
Given that,
From the options provided, we must choose the best one.
Consider the provided information.
When you make a purchase that must be paid for over a period of time but gets delivered today, this is referred to as a delayed purchase.
For example:
When you could buy a hot tub today and pay for it over 39 weeks.
Now consider the provided option.
The correct option is A)
Therefore, The correct option is A. Paying for a drum set in six months and receiving the drum set today.
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The sum of the measure of the interior angles of a polygon is 2160°. What polygon is it? 14-gon 12-gon 13-gon 15-gon
Answer:
It is a 14-gon.
Step-by-step explanation:
Sum of internal angles of an n sided polygon = 180(n - 2) degrees.
2160 = 180(n - 2)
2160 = 180n - 360
`180n = 2520
n = 2520 / 180
= 14.
Answer:
12-gon
Step-by-step explanation:
Find the greatest common factor of 12 and 44
Answer:
The greatest common factor of 12 and 44 is 4.
The greatest common factor of 12 and 44 is 2 obtained by prime factorization.
What are LCM and HCF?The LCM of two or more numbers is the least common multiple of them.
The HCF of two or than two given numbers are the highest number that divides them completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, Are two numbers 12 and 44.
Now, Writing them as a product of prime factors,
12 = 2 × 2 × 5.
44 = 2 × 2 × 11.
So, The only common factor is 2, Hence the HCF of 12 and 44 is 2.
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JEEEEEEEEEEEEEEEEEEELPPPPP
Answer:
18.84
Step-by-step explanation:
The formula for length of the circle is =
[tex]\pi \times d[/tex]
Therefore
[tex]\pi \times d = 3.14 \times 12 \\ = 37.68[/tex]
Therefore the Arc length =37.68/2
=18.84
6 Which expression can be classified as linear?
(A) x2+ x-4 (6) 3x2 - 1
(C) 6x - (D)+7
Answer:
Step-by-step explanation:
A linear expression has the highest power of the variable to 1, i.e ax+b
So, in this case the questions is not well presented
But looking at options C.
6x
This is linear expression when compare to ax+b, but b=0
Looking at option D
7
This is also a constant and it is linear.
But the best answer is C because it is an expression that has variable x and it is function of x.
The price of a bike went down by $150. The new price is $475.
Which expression shows the price of the bike before the sale?
Answer: 150+475= Price before sale.
Step-by-step explanation:
You buy a printer for $79.80 and a scanner for $67.10; you receive a $11 mail-in rebate for the printer and a $17 mail- in rebate for the scanner. a) If each envelope costs $0.15 and each stamp costs $0.37, calculate the total cost after the rebates. b) How much is the actual rebate after your expenses
The total cost of the printer and scanner after the rebates is $117.86, and the actual rebate after expenses is $26.96.
Explanation:For part a, first, add up the cost of the printer and scanner: $79.80 (printer) + $67.10 (scanner) = $146.90 (total original cost). Then calculate the mail-in rebates: $11 (printer rebate) + $17 (scanner rebate) = $28 (total rebates). However, you incur some costs when mailing these rebates. You need one envelope and one stamp for each rebate so multiplying the price of the envelope and the stamp by 2 gives us 0.15*2 + 0.37*2= $1.04. We subtract the $28 (rebate) and this $1.04 (mail cost) from the original cost ($146.90), giving us a final cost of $146.90 - $28 - $1.04 = $117.86.
For part b, the actual rebate after your expenses is the total value of the rebates ($28) minus the mail-in costs ($1.04), which ends up being $28 - $1.04 = $26.96.
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Lakin invests $7000 in an account that gets 8% apr compounded annually. If she does not make any deposits or withdrawals, how much money will be in the account after 8 years?ñ
Answer:
$12,956.51
Step-by-step explanation:
The equation for compounding is [tex]P=A(1+r/n)^{nt}[/tex]
So, [tex]7000(1+.08/1)^{1*8}[/tex]
7000(1.08)^8
So, the answer should be $12,956.51
Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it
take him to install 495 square feet?
Answer:
9 hrs and 10 mins
Step-by-step explanation:
We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins
Answer: 445.5 minutes
Step-by-step explanation:
Hi, to answer this we have to apply a proportion:
Proportion: square feet / time (minutes)
Tim installs 50 square feet of his floor in 45 minutes: 50/45
For 495 square feet: 495/x
Where x is the time it takes Tim to install 495 square feet of his floor.
50ft/45min = 495ft/x min
Solving for x
x = 495 / (50/45)
x= 445.5 minutes
The length of a rectangle is the width minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of the rectangle ?
Final answer:
To find the width of the rectangle, you can set up an equation using the given information and the formula for the area of a rectangle. Solve the equation to find the width of the rectangle, which is 9 units.
Explanation:
To find the width of the rectangle, we need to use the given information. We are told that the length of the rectangle is the width minus 3 units. Let's call the width of the rectangle 'w'.
So, the length of the rectangle is w - 3 units. The area of the rectangle is given as 54 square units. We can set up an equation using the formula for the area of a rectangle: Length x Width = Area.
Substituting the length expression into the equation, we get (w - 3)w = 54. Simplifying the equation gives us w² - 3w - 54 = 0. We can solve this quadratic equation to find the width of the rectangle.
Using factoring or the quadratic formula, we find that the width of the rectangle is 9 units.
Explain how you know that each pair of triangles are similar.
Geometry
15 pts.
Answer:
SSS~
Step-by-step explanation:
All three sides between the two triangles are proportional (4/12 = 4/12 = 7/21)
The explanation regarding the each pair of triangles should be similar is explained below:
The following information should be considered:
Since there are two triangles so all three sides that lies between the two triangles should be proportional. It can be 4 by 12 = 4 by 12 = 7 by 21Learn more: https://brainly.com/question/24908711?referrer=searchResults
Factor this expression completely, then place the factors in the proper location on the grid. 8y3 - 27
Answer:
Step-by-step explanation:
a³-b³=(a-b)(a²+ab+b²)
8y³-27=(2y)³-(3)³=(2y-3)[(2y)²+(2y)(3)+(3)²]
=(2y-3)(4y²+6y+9)
A cylindrical glass of water is 6 in tall and holds a volume of 60 inof water.
To the nearest tenth of an inch, what is the radius of the glass?
Answer:
radius of the cylinder = 3inches (to the nearest tenth)
Step-by-step explanation:
the height of the cylinder = 6inches
volume of water in the cylinder = 60inces³
radius of the cylinder =?
π = 3.14
recall that ,
the fomular for finding the volume of a cylinder = πr²h
the volume of a cylinder = πr²h
the volume of a cylinder = 3.14 × r² × 6
60 = 18.84r
divide both sides by 18.84
60/18.84 = 18.84r/18.84
= 3.184
radius of the cylinder = 3inches (to the nearest tenth)
A math teacher needs to choose 6 students from class of 30 to go to the library. How many different groups can she select?
Possible answers
A 180
B 427,518,000
C 593,775
D none of the choices are correct
To determine the number of different ways a math teacher can select 6 students from a class of 30, we use the combination formula C(30, 6) = 30! / (6! * (30 - 6)!), which gives us 593,775 different possibilities. Therefore, the correct answer is C, 593,775.
The math teacher needs to select 6 students from a class of 30 students to go to the library, which is a combinatorial problem in mathematics. The number of ways to choose k students from a group of n students without regard to the order is given by the combination formula:
C(n, k) = n! / (k! * (n - k)!), where n! is the factorial of n and equals n multiplied by all positive integers less than n, and k is the number of students chosen.
Applying the formula for our situation:
C(30, 6) = 30! / (6! * (30 - 6)!)
= (30 * 29 * 28 * 27 * 26 * 25) / (6 * 5 * 4 * 3 * 2 * 1)
= 593,775
So there are 593,775 different ways the teacher can select 6 students from a class of 30. Hence, the correct answer is C, 593,775.
The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width
Answer:
L = 90 inches
W = 30 inches
Step-by-step explanation:
Give the length of a rectangle L is three times the width
That’s
L = 3w
And perimeter = 240 inches
Recall that the perimeter of a rectangle is given by
P = 2(L + W)
L = 3w
We now have two equations
Now substitute 3w for L in The above formula and 240 for P.
We have
240 = 2(3w + w)
Distribute 2 into (3w + w)
240 = 2 x 3w + 2 x w
240 = 6w + 2w
240 = 8w
Divide both sides by 8
240/8 = 8w/8
30 = w
W = 30inches
Now substitute 30 for w into either of the above equations to get L .
Using
L = 3w
L = 3 x 30
L = 90 inches
L = 90 inches and
W = 30 inches
Solve please, its surface area again
Answer:
108 cm^2
Step-by-step explanation:
Base: 6 × 6 = 36 (÷2 = 18)
Faces: 10 × 6 = 60 (÷2 ×3 = 90)
Add: 18 + 90 = 108
Please look at picture and help me.
(A) FB and DB
(B) HF and AC
(C) AC and FB
(D) DB and HF
Answer: D
Step-by-step explanation: Firstly, all the other answers make no sense, but you know it must be D because since it is a rectangular prism, the length from corner to corner on both sides is the same, so the lines are exactly on top of each other and the same size.
What is the exact volume of the cylinder?
Enter your answer, in terms of Pi , in the box.
__cm^3
The exact volume of the cylinder is 375π cm³.
Solution:
Given image is a cylinder.
Radius of the cylinder = 5 cm
Height of the cylinder = 15 cm
The value of π = 3.14
Volume of the cylinder = πr²h
= π × 5² × 15
= π × 25 × 15
= π × 375
Volume of the cylinder = 375 π cm³
The exact volume of the cylinder is 375π cm³.