Answer:
9-16y
Step-by-step explanation:
Answer:
(3 + 2y)(3 - 2y)Step-by-step explanation:
Use formula:
a² - b² = (a + b)(a - b)Factor:
9 - 4y² = 3² - (2y)² = (3 + 2y)(3 - 2y)What is the number lateral faces, bases, edges and vertices? Pls I need this ASAP
Answer:
4 lateral faces
1 base
8 edges
5 vertices
Please its really urgent, step by step working out
Answer:
70.99
Step-by-step explanation:
Use Pythagorean Theorem to find the shortest distance.
80^2-50^2=3900
Square rt= 62.44
Subtract by 15
47.44
Next find half of the circular path it is (3.14 x 15)/2
23.55
Add 47.44+23.55=70.99
Hope this is correct
What is the slope of y=x??
Answer:
Since we know the slope is the value multiplied by x , the slope is −1.
Step-by-step explanation:
We can rewrite this equation as:
y=1x+0
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:
y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
I hope this helps :)
The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensions of the rectangle?
Answer:
length is 5
width is 4
Step-by-step explanation:
I'm d u m b so I can't figure this out lol
Serenity invested $1300 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Serenity would have in the account 10 years after her initial investment. Round to the nearest tenth (if necessary).
Answer: 2018.9
Step-by-step explanation:
HURRY PLEASEEEEE!!!
Anna and her sister Bella are making baby blankets to sell at a boutique. Anna has already completed 5 blankets and can finish 7 more blankets per day. Bella has already completed 2 blankets and can finish 8 more blankets per day. At some point, they will have completed the same number of blankets. How long will that take? How many blankets will each woman have made?
Answer:
5.5 or 5 or 6
Step-by-step explanation:
anne=5+7=12(blankets per day)
bella=2+8=10 (blankets per day)
We need to use the 12 times table and 10 times table and see when they meet up
12, 24, 36, 48, 60
10, 20, 30, 40, 50, 60
it will take 5.5 days or 5 or 6
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Isaac gave away five balloons. How can you model this situation? The situation can be modeled by algebra tiles with one orange x tile and . The situation can be represented as an algebraic expression as .
Answer:
Following are the responses to this question:
Step-by-step explanation:
In point 1 the answer is "An algebra tiles will model the situation".
In point 2 the answer is "The one tile of orange x and 5 tiles of black".
In point 3 the answer is "This situation can be interpreted as an x-5 algebraic term".
Please answer this quickly it’s for a test!
Answer: I think its D, not positive though.
Step-by-step explanation:
What is 1,198,145 rounded to the nearest ten thousand?
Answer: 1,200,000
Explanation:
Question 1 of 5 Select the correct answer. If the factors of quadratic equation are (x − 7) and (x + 3), what are the x-intercepts? (-7,0) and (-3,0) (-7,0) and (3,0) (3,0) and (7,0) (-3,0) and (7,0)
Answer:
(7,0) and (-3,0)
Step-by-step explanation:
Given the factors, we want to get the x-intercepts
All we have to do is to get the x values by equating the factors to zero
we have this as;
(x -7) = 0 and (x + 3) = 0
x = 7 and x = -3
The x-intercepts are;
(7,0) and (-3,0)
plssssssssssssssssssssssssssss
Answer:
D) 2275
Step-by-step explanation:
A school band went on a trip to a music festival. The band director was admitted for free, but it cost $100 to rent a bus for the trip and $4 for each student to get into the festival. The total cost of the trip was $244. Which equation can be used to find s, the number of students that went on the trip?
Answer:
100 + 4s = 244
Step-by-step explanation:
Cost of the ticket for s students = 4s
Bus rent + cost of ticket for 's' students = $ 244
100 + 4s = 244
Answer:
i cant answer it either its so hard
Step-by-step explanation:
ryan has some (donuts) he takes 5 away how many donuts does ryan have now.
d - 5 = ?
Answer:
7
Step-by-step explanation:
help plz im so stuck
Answer: yes
Step-by-step explanation:
Which choice shows the corresponding sides as equal ratios?
Option A, DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From the given triangles
In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.
In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.
As the two triangles are similar.
DE/AB=6/3=2
EF/BC=8/4=2
DF/AC=10/5=2
So DE/AB=EF/BC=DF/AC=2
Hence, Option A DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
To learn more on Triangles click:
https://brainly.com/question/2773823
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If you guys could help this is urgent!!
Answer:
J
Step-by-step explanation:
A 38.3
B 12.4
C 35.6
D 24.1
A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (ai+8j)
and the tension in string BP is (6i+bj)
The value of a is?
And the value of b is?
The magnitude of the tension in string AP is?
The angle that string BP makes with the vertical is?
Give your answers as exact whole numbers or as decimals to 3 s.f.
Answer:
i. a = -6 ii. b = 12 iii. 100 iv. 26.6°
Step-by-step explanation:
Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j
So, since AP = ai + 8j and BP = 6i + bj,
AP + BP = -20j
ai + 8j + 6i + bj = -20j
ai + 6i + 8j + bj = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
equating the components on both sids,
a + 6 = 0 and 8 + b = 20
a = -6 and b = 20 - 8 = 12
i. The value of a is -6
ii. The value of b is 12
iii. The magnitude of the tension in string AP is?
since AP = ai + 8j = -6i + 8j
magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10
iv. The angle that string BP makes with the vertical is?
Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f
1) The values of a and b of the given vectors are respectively; -6 and 12
2) The magnitude of the tension in string AP is; 10
3) The angle that string BP makes with the vertical is; 26.6°
What is the magnitude of the tension?
We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.
By equilibrium;
AP + BP = -20j
1) We are given the tension vectors;
AP = ai + 8j and BP = 6i + bj,
Thus;
ai + 8j + 6i + bj = -20j
(ai + 6i) + (8j + bj) = -20j
(a + 6)i + (8 + b)j = -20j
(a + 6)i + (8 + b)j = 0i - 20j
Equating the components of both sides gives;
a + 6 = 0 and 8 + b = 20
Solving gives;
a = -6 and b = 20 - 8 = 12
Thus, the values of a and b are -6 and 12
2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;
AP = ai + 8j = -6i + 8j
Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10
3) The angle that string BP makes with the vertical is gotten from;
BP = 6i + bj = 6i + 12j
Thus, the angle it makes with the horizontal;
θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.
Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°
Read more about Magnitude of Tension at; https://brainly.com/question/13370981
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.
The solution for this problem is:
Let x be the number of months; and
Let y be the amount paid
We know that m is $199 per month and the two other given are 6 months and 2694.
y = 199 (x -6) + 2694
y = 199 (36 -6) + 2694
y = 199 (30) + 2694
y = 8664
Mr. Scott paid $8664 after 3 years.
PLEASE HELP THUS IS DUE IN AN HOUR
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Step-by-step explanation:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
What is the speed of a boat trip that lasted 4.5 hours with a constant speed and is able to travel a distance of 60.75 kilometers?
-1/2 x 1/3 ANSWER PLEASE!!'
Answer:
-1/6
Step-by-step explanation:
-1
6
-1*1= -1
2*3= 6
Find the value of x to the nearest degree.
Answer:
A. 66
Step-by-step explanation:
180 - 90 = 90
90 - 24 = 66
Answer will be 66
Hope this helps!
26. Pauline's health club has an enrollment fee
of $175 and costs $35 per month. Total cost as a
function of number of membership months
is shown in the graph.
a. Write an equation that represents the total cost
as a function of months.
b. Identify the slope and y-intercept and describe
their meanings.
C. Find the cost of one year of membership.
Cost ($)
250
200
150
100
50
0
yall im tired please help im lacking hella motivation and i have a bad headache so please helpp me cuz no one has thank you luvs <3
Answer:
1,193.81
Step-by-step explanation:
Use the formula:
A=2PIrh+2PIr^2
Answer:
Curved surface area of cylinder
=PH
=2pirh
=2×3.142×5×9= 282.78in sq
A is the closest.
What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 12, 13, 15, 4, 11, 12
Plz help
Answer:
i. Mean = 11.2
ii. Variance = 14.17
iii. Standard deviation = 3.76
Step-by-step explanation:
i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]
= [tex]\frac{4+11+12+12+13+15}{6}[/tex]
= [tex]\frac{67}{6}[/tex]
= 11.2
The mean of the given data is 11.2
ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]
where: [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.
= [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]
= [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]
= [tex]\frac{70.84}{5}[/tex]
= 14.168
Variance = 14.17
iii. Standard deviation = [tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{14.17}[/tex]
= 3.76
Find the area of the pentagon. Round to the nearest square inch. The figure is not drawn to scale.
A) 54 in2
B) 67 in2
C) 72 in2
D) 87 in2
Answer:
B) 67 in2
Step-by-step explanation:
Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals. a) How much money was in the account after one year? b) How much money was in the account after 4 years? c) Was the amount of money earned in interest the same or different each year?
Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
simplify and leave answer in decimal form (3,6×10 to the power 6)-(5,2×10 to the power 5 show steps of calculations
Answer:
3.08×10 to the power of 4
Step-by-step explanation:
3.6×10the power of 6 =3,600,000
and 5.2× 10 to the power of 5 = 520,000
then the next step is to substract
3,600,000-520,000=308,000
then when we change it to decimal place we will get=3.08×10 to the power of 5
