Answer:
21[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
3[tex]\sqrt{5}[/tex] + 6[tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{5}[/tex] + 6(3[tex]\sqrt{5}[/tex] )
= 3[tex]\sqrt{5}[/tex] + 18[tex]\sqrt{5}[/tex]
= 21[tex]\sqrt{5}[/tex]
Answer:
[tex]21\sqrt{5}[/tex]
Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers.
Sum of twenty, use the numbers 0 - 9 so that each row column sum to 20. Diagonals are not included.
Answer:
where each row and column sum up to 20
2 4 6 8
4 2 6 8
6 6 4 4
8 8 4 0
Step-by-step explanation:
The sum of twenty using numbers 0 - 9
where each row and column sum up to 20
2 4 6 8
4 2 6 8
6 6 4 4
8 8 4 0
when you sum up each of the row or each of the column the sum = 20
given that the diagonals are not included the sum of diagonals > or < 20
What is the equation of the line that passes through (4, 3) and (-4,-1)?
Answer:
[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]
Step-by-step explanation:
Given :-
Two points (4,3) and (-4,-1)And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,
[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]
Let us take that ,
[tex](x_1,y_1)=(4,3) [/tex][tex](x_2,y_2)=(-4,-1)[/tex]Now substitute the respective values ,
[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]
Hence the correct option is (2) .
Ahmad picked up a toy with a mass of 7/12 kilograms. Then picked up another of 1/12 kilograms. What's the total Write your answer as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
7/12+1/12=8/12
8 / 4 2
12 / 4 3
Final answer 2/3
You are planning to build a walkway that surrounds the area of a rectangular garden. The width of the walkway around the
garden is the same on every side. Which of the following polynomials represents the total area of the garden and
walkway?
Answer:
B. (2x + 10)(2x + 9)
Step-by-step explanation:
Length (L) of the garden and walkway = x + 10 + x = (2x + 10) ft
Width (W) of the garden and walkway = x + 9 + x = (2x + 9)
Area of the garden and walkway = area of rectangle = L*W
= (2x + 10)(2x + 9)
The polynomial representing the total area of the garden and walkway = (2x + 10)(2x + 9)
Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
Learn more about fractions here :
https://brainly.com/question/17220365
#SPJ2
Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor
Find the volume of the cylinder
Either enter an exact answer in terms of pie or use 3.14 for pie.
Please help me any help will be appreciated thank you!
Answer:
500π m^3
Step-by-step explanation:
The question is not complete
Cylinders are described with dimensions as
Diameter and Height
Say the diameter is
D= 10m
and Height is
H=20
Hence the radius is
R= D/2= 10/2= 5 m
Therefore the volume is gotten as
V= πr^2h
V= π*5^2* 20
V= π*25*20
V= 500π m^3
Hence the volume is 500π m^3
What inverse operation is used to solve the equation?
2x=10
Addition Property: add 2 to both sides
Division Property: divide both sides by 2
Multiplication Property: multiply both sides by 2
Subtraction Property: subtract 2 from both sides
Answer:
Division Property: divide both sides by 2
Step-by-step explanation:
[tex]2x = 10[/tex]
[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex][tex]x = 5[/tex]
Hope it is helpful....pls can u help me with this
Answer:
A = 1.26
B = 1.22
Store B is better
Step-by-step explanation:
5.04 divided by 4
2.44 divided by 2
y= 4x + 2
y= 4x + 6
How many Solutions
Marking brainliest
Please help!
can someone please help me :)
Which of the following statements are true (there may be more than one)
A.Angles 1 and 2 are adjacent angles
B.Angels 2 and 4 are adjacent angles
C.Angles 2 and 3 are vertical angles
D.Angles 1 and 3 are vertical angles
Step-by-step explanation:
The answer to this question is D.
A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answer:
36 m 32 s
Step-by-step explanation:
67 /110 = 0.609 hour
0.609 × 60 minutes = 36.54 minutes
36 minutes + 0.54×60 second
= 36 minutes 32 seconds
Answer:
36 mins 32 secs
Step-by-step explanation:
Max brought $20 to the arcade. Each arcade game cost $1.25 to play. He used $6.50 to buy snacks. Which of the following inequality equations below shows the greatest number of arcade games Max can play with the money he brought?
A. 1.25g - 6.50 > 20
B. 1.25g + 6.50 > 20
C. 1.25g + 6.50 < 20
D. 1.25 - 6.50g < 20
Answer:
B
Step-by-step explanation:
(a)Find an angle between 0° and 360° that is coterminal with 865° .
(b) find an angle between 0 and 2π that is coterminal with 33π/10 .
Answer:a.215
I don't know in letter b.
#CaRRyOnLeArniNG
Calculate the distance of line segment AB.
AB²=AC²+BC² <=> AB²=10²+24²=100+576=676 <=> AB=√676=26 => x=26
If 4 cups of milk is required to make 20 pancakes, how much milk will 30 pancakes require?
Hope this help!!!!!!! :)
Quantity of flour needed to make 20 pancakes =
Then , number of pancakes that can be made from 1 cup of floor :-
.
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-
Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-
Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
Step-by-step explanation:
help plssssss!!!!!!!
24 + _ = 120 * 3 what is the answer
Answer:
336
Step-by-step explanation:
120*3 is 360.
360= 24 + ___
360-24 is 336
Answer:
432
Step-by-step explanation:
24+__=120
144*3
=432
Hope This Helps, Have a great day!
PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!
Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars
quality plumbing charges 50 for each hour of work plus one time fee of 150
t or f quality plumbing charges the least for 5 hours of work false
Step-by-step explanation:
I think this is correct, no time to explain if you need this answer fast
PLEASE HELP ME WITH A PROBLEM (no links I will report if any) will give brainilest to correct answer
Answer:
83 ounces
Step-by-step explanation:
2 lb 11 oz + 2 lb 8 oz = 4lb 19oz
REMEMBER: 1 pound = 16 oz
4 lb x 16 = 64 oz
64 oz + 19 oz = 83 oz
Charlie is 4 more than twice as old as Frank. Frank is 3 years younger than Bob,
If Bob is 9 years old, how old is Charlie?
Answer:
16
Step-by-step explanation:
x + 3= 9
x = 6
2x + 4= 2*6 + 4
2x + 4 = 12 + 4
2x + 4 =16
Charlies 16
hope it helps
Answer: he is 16
Step-by-step explanation:
Let x = Frank's age
2x+4+ = Charlie's age
x+3+ = Bob's age
9 = Bob's age
x+3=9
x=6
2x+4=2⋅6+4
2x+4=12+4
2x+4=16
Charlie is 16
if x=5,then3x+4x-15 equals
Answer:
20
Step-by-step explanation:
Jane will rent a car for the weekend she can choose one of the two plans the first plan has an initial fee of $42 in cost of additional $.12 per mile driven the second plan has an initial fee of $55 in cost additional seven cents per mile driven
Answer:
260m
$73.2
Step-by-step explanation:
For what amount of driving do the plans cost the same?
What the cost when the two plans cost the same?
first plan = 42 + 0.12m
second plan = 55 + 0.07m
42 + 0.12m = 55 + 0.07m
collect like terms
55 - 42 = 0.12 - 0.07m
13 = 0.05m
m = 260
42 + 0.12(260) = 73.2
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here: The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
This question is incomplete, the complete question is;
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
Answer:
a)
The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b)
The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
Step-by-step explanation:
Given the data in the question;
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
Number of persons affected by disease with positive factor of X = 40
Number of persons with negative factor of X without the disease = 140
Total number of persons affected by the disease = 40 + 10 = 50
Total number of persons not affected by the disease = 60 + 140 = 200
a) Sensitivity of the Test;
Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100
we substitute
Sensitivity = [ 40 / 50 ] × 100
Sensitivity = 0.8 × 100
Sensitivity = 80%
Therefore, The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b) The specificity of the test;
Specificity = [ ( Number of persons with negative factor of X without the disease) / ( Total number of persons not affected by the disease ) ] × 100
we substitute
Specificity = [ 140 / 200 ] × 100
Specificity = 0.7 × 100
Specificity = 70%
Therefore, The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
What is the answer to this 3a-b;a=4b=6
Answer:
3a-b
3×4-6 solve by using the rules of BODMAS
12-6
6(ans)
Hope it helps
PLZZZZ HELP AMEDIENTLY
A researcher places a radio advertisement offering $32 in exchange for participation in a short study. The researcher accepts the first nine people who respond to the advertisement. Which of the following statements is true about the sample?
It is a valid sample because the first nine people were selected to participate.
It is not a valid sample because it is not a random sample of the population.
It is a valid sample because money was offered to participants.
It is not a valid sample because it is only a short study.
Answer:
I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.
PLEASE HELP ASAP WILL GIVE BRAINLY
What is the median of the data set represented by the dot plot?
What is the rule for reflecting across the x-axis?
(x,y)=(x,-Y)
O (x,y)=(-x,y)
O (x,y)=(-x-7)
O (x,y)=(x,y)
One of the flights was 350 miles and its residual was -
105.00. What was the fare for this flight?
Based on data taken from airline fares and distances
flown, it is determined that the equation of the least-
squares regression line is ý = 102.50 +0.65x, where
ý is the predicted fare and x is the distance, in miles.
O $102.50
O $435.00
O $225.00
O $330.00
Answer:
O $225.00
Step-by-step explanation:
Given that
The one of the flight was 350 miles
And, its residual is 105
The regression line is y = 102.50 + 0.65x
where
y denotes the expected fare
And, x denotes the distance
We need to find out the fair of the flight
So,
y = 102.50 + 0.65 (350)
= 330.00
Now the fare is
= 330 - 105
= 225
Answer:
(C) 225 Is correct.
Predicted cost - residual = answer
y= 102.50 + .65(35)
330 - 105 = 225
255
ED2021