Answer:
[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]
Step-by-step explanation:
[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]
I need help with this guys
Answer:
25:53
Step-by-step explanation:
75:159 have a common factor of 3
75/3=25
159/3=53
How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have?
Answer:
12 =x
There is one solution
Step-by-step explanation:
4x + 8 = − 2 − 2 + 5x
Combine like terms
4x+8 = -4+5x
Subtract 4x from each side
4x-4x+8 = -4+5x-4x
8 = -4+x
Add 4 to each side
8+4 = -4+4+x
12 =x
Answer: only one 4x+8=-4+5x
4x-5x=8+4
-1x=12
x=-12
Step-by-step explanation:
please i really need help: Find the volume of the solid. Use 3.14 for π.
Answer:
V≈4021.24
Hope this helps!
Answer:
1004.8
Step-by-step explanation:
The volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]
r = 8
h = 15
64π * 5 = 320π
320 * 3.14 = 1004.8
While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.
Question 1. How high did Marc actually hit the ball?
Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x
Question 2. How long did the ball actually hang in the air?
Answer:
120 ft at 0 seconds
Question 2: 12.5 seconds in the air
Step-by-step explanation:
h(x)= -16x^2+120
We want to find the vertex
The vertex is at
h = -b/2a = 0/-32 = 0
The maximum is at 0
h(0) = 0+120 = 120
it occurs at 0 seconds and a height of 120 ft
h(x)= -16x^2+200x
We want to find the zeros of the function
0= -16x^2+200x
Factor out -8x
0 = -8x(2x -25)
Using the zero product property
-8x=0 2x-25 =0
x =0 2x =25
x=25/2
The ball starts on the ground at 0 seconds and lands at 12.5 seconds
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (including interest) in 3 years.
Answer:
155.53
Step-by-step explanation:
I know where this question is from hahaha
Helllp!
How many lines of symmetry does a regular heptagon have? Explain your answer!
Answer:
7
Step-by-step explanation:
Regular polygons have the same number of lines of symmetry as they do sides
Answer:
7 lines of symmetry
Step-by-step explanation:
If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.
The line segment AB with endpoints A (–3, 6) and B (9, 12) is dilated with a scale factor 2∕3 about the origin. Find the endpoints of the dilated line segment. answers: A) (4, –2), (6, 8) B) (–2, 4), (6, 8) C) (–2, 4), (8, 6) D) (2, 4), (6, 8)
Answer:
B. The endpoint of the dilated line is (-2,4),(6,8)
Step-by-step explanation:
Given
Line segment AB
Endpoints: A(-3,6) and B(9,12)
Scale Factor: 2/3 about the origin
Required
Find the end points of the dilated line
From the question, we understand that the line segment is dilated about the origin;
The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;
This is shown below;
[tex]For\ A = (-3,6);[/tex]
The new endpoints become
[tex]A' = \frac{2}{3} A[/tex]
[tex]A' = \frac{2}{3} (-3,6)[/tex]
[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]
[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]
[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]
[tex]A' = (-2, 4)[/tex]
[tex]For\ B = (9, 12);[/tex]
The new endpoints become
[tex]B' = \frac{2}{3} B[/tex]
[tex]B' = \frac{2}{3} (9, 12)[/tex]
[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]
[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]
[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]
[tex]B' = (6, 8)[/tex]
Hence, the endpoint of the dilated line is (-2,4),(6,8)
Answer:
3/2
Step-by-step explanation:
wiil mark bianleast
Which figure is a translation of the gray shape?
Figure A.
Figure B.
Figure C.
Figure D.
At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish. I need three ways
Answer:
The three ways are;
1) Two stacks of six reams
2) Four stacks of three reams
3) Four stacks of three reams arranged two by two
Step-by-step explanation:
The parameters given are;
Dimensions of one ream of paper = 8.5 in. by 11 in. by 2 in.
The number of reams of paper = 12
The three unique ways are;
1) Two stacks of six reams
Box dimension = 6 × 2 in. by 2 × 8.5 in. by 11 in. = 12 in. by 17 in. by 11 in.
Box dimension of new box = 12 in. by 17 in. by 11 in.
2) Four stacks of three reams
Box dimension = 3 × 2 in. by 4 × 8.5 in. by 11 in. = 6 in. by 34 in. by 11 in.
Box dimension of new box = 6 in. by 34 in. by 11 in.
3) Four stacks of three reams arranged two by two
Box dimension = 3 × 2 in. by 2 × 8.5 in. by 2 × 11 in. = 6 in. by 17 in. by 22 in.
Box dimension of new box = 6 in. by 17 in. by 22 in.
4. Last year, an intramural touch football team at the local university had a decent
season. The total points scored by the team for each of the 20 games are listed
below.
24
49
28
50
34
51
36
52
36
52
40
62
41
67
43
68
43
73
48
79
Construct a histogram of the data
Answer:
The histogram is attached
Step-by-step explanation:
The histogram attached shows the points scored in each game, where total number of games are 20
Histogram is made by the following details:
X-Axis: Game No.
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)
Y-Axis: Total points scored in that game.
(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)
Different colors are used for each much so that it is easy to differentiate among them.
Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
Find the value of x in the triangle shown below.
Answer: 50
Step-by-step explanation:
180-80 = 100
100 divided by 2 = 50
X=50
Given sin(−θ)=−16 and tanθ=−35√35.
What is the value of cosθ?
A) −35√6
B) −35√210
C) 35√6
D) 35√210
Answer:
D. -√35/6
Step-by-step explanation:
Which ordered pairs make both inequalities true? Check all that apply. (−5, 5) (0, 3) (0, −2) (1, 1) (3, −4)
Answer:
(0,-2) and (1,1)
Hope this helps :)
Answer: (0,-2) & (1,1)
Step-by-step explanation:
correct answers ✅
What is the solution to the system of equations graphed below?
Answer:
B
Step-by-step explanation:
Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.
The point of intersection = (- 4, 8 ) ← solution
plz help with this question
Answer:
3cm ,4cm,5cm,and 8 centimetres
Which set represents the same relation as the table below? x f(x) 0 5 4 2 6 9 9 10 StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet StartSet 0, 2, 4, 5, 6, 9, 10 EndSet StartSet 2, 5, 9, 10 EndSet
Answer:
1) {(0,5), (4,2), (6,9), (9,10)}
Step-by-step explanation:
Lets right the table in more clearer view.
x f(x)
0 5
4 2
6 9
9 10
The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.
For x = 0, y = 5, so it can be written as (0,5)
Similarly, we can write the next values as:
(4,2)
(6,9)
(9,10)
So the data in the table is:
(0,5), (4,2), (6,9), (9,10)
It can be written is a set form
{(0,5), (4,2), (6,9), (9,10)}
Which is the same as option 1.
Hence, Option 1 is correct.
Answer:
A
Step-by-step explanation:
took the quiz edge 2020
Two numbers are in the ratio 3:5 . If their sum is 64 , then the numbers are-
24 and 40
20 and 44
30 and 34
14 and 50
Answer:
The two numbers are 24 and 40
At 1:00 p.m., the temperature is 12°F. If the temperature steadily decreases by 2°F per hour, then what the temperature at 08:00 p.m
Answer:
-2
Step-by-step explanation:
There’s a decrease over 7hrs 7•-2= -14
12-14=-2
Answer:
-2
Step-by-step explanation:
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
A. 4/100
B. 40/100
C. 44/100
D. 40/10
Answer:
B
Step-by-step explanation:
40/100=4/10
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.
Answer:
Percent increase : 20%
Step-by-step explanation: First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
4,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
How smart r u?
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
A miniature golf course recently provided its customers with 6 golf balls, of which 3 were blue. What is the experimental probability that the next customer will receive a blue golf ball?
Find the answer. 3 1/3 x -3 1/6 =
Answer:
=-10 5/9
Step-by-step explanation:
Let's simplify step-by-step. 31/3 x− 31/6
Times the numbers
=-10 5/9
Description:
The first step is to simplify the equation 3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9
Please mark brainliest
Hope this helps.
Answer:
[tex]-10\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]
[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]
[tex]-\frac{10\times \:19}{3\times \:6}[/tex]
[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]
[tex]-10\frac{5}{9}[/tex]
answers ? Idk how to do this
Answer:
Step-by-step explanation:
ghjikop0987trsxzcvbhtrdxc vbhgfc
A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
Betty bought two bags full of books at an annual library book sale. If she
pays a total of $12.90 for both bags, of which $0.90 is tax, how much did
each bag of books cost?
Answer:
12.90= .90+ 2x
12=2x
6=x
Each bag of books cost was $6
Answer: the answer is $6
Step-by-step explanation:
Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.
Please help! I will mark you as brainliest!
Answer:
£290.70
Step-by-step explanation:
50x5=250
20x2=40
10x7=70
5x3=15
total = 375
375/1.29=290.697
= £290.70
Step-by-step explanation:
$50-5= 50×5
= 250
$20-2=20×2
= 40
$10-7= 10×7
= 70
$5-3= 5×3
15
then,
we add
250 + 40 + 70 + 15 = 379
£1= $1.29
$ = 1/1.29
= 379/1.29
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(90,60)
Step-by-step explanation:
if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.
proportional relationships are plots that also match in the same graphing format (keep in mind when you have trouble next time)