Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
√45 can be written as √9 * √5 (using the rule √ab = √a * √b)√9 simplifies to 3, so it is 3√5Now we can simplify the operation in the parenthesis by combining like terms:
3√5 + √5√5 + √5 + √5 + √54√5Now using the same rule as above, we can multiply the values:
√2(4√5)4√10Your solution is 4√10
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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2
Take one side
B=3unitsA=9unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]
Scale factor (B to A)=3#2
B=6unitsA=4unitsScale factor Bto A:-
4/6=2/3Scale factor (Ato B)=3/2
Answer:
The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:
[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]
For these questions:
new shape = Figure Aoriginal shape = Figure BQuestion 1
Top edge of Figure A = 9 unitsTop edge of Figure B = 3 units[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]
Question 2
Width of Figure A = 4 unitsWidth of Figure B = 6 units[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]
which is a correct method for solving this equation for X
Answer:
B
Step-by-step explanation:
adding both sides will leave you at x/3=15
then diving by 3, the two 3s will cancel out and you will be left with x=15
An envelope is 8 centimeters wide, and it measures 17 centimeters along the diagonal. How tall is the envelope? centimeters
Answer:
15cm
Step-by-step explanation:
√289-64√22515cm© the envelope is 15cm rall.
Answer:
15cm
Step-by-step explanation:
√289-64
√225
15cm
Which is the logarithmic form of 83 = 512?
log8 512 = 3
log512 9 = 2
log3 512 = 8
log3 8 = 512
Answer:
no solution,because the Is no 83=512 there
help help help help math math
Answer:
2
Step-by-step explanation:
the line is straight and is set on 2 so y<2
a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize
Answer:
£120
Step-by-step explanation:
96 divided by 4=£24
1=£24
24+96=120
perform the following division: 3 3/4 ÷ 2/8
Answer:
15
Step-by-step explanation:
[tex]3\frac{3}{4} / \frac{2}{8} = \frac{15}{4} / \frac{2}{8} = \frac{15}{4} * \frac{8}{2} = \frac{120}{8} = 15[/tex]
talyn is riding her bike down the street at
a speed of 15 m/s. If it takes talyn seconds to
get to the end of the streets then how far was the street?
Step-by-step explanation:
1 kilometer
thank you very much
help plsssssssssssssssssssssssssssssssssssss
Answer:
84
Step-by-step explanation:
i need help quick.......
[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]
Can Someone Assist Me Please? It would be much appreciated
Ya sure.... What's your doubt?
3 and 15 find the range of missing side
Answer:
draw a square with a side length of 2.5 cm. label it CARL
Draw the circle with center A passing through C
draw SEGMENT CR
draw the straight line d passing through A and perpendicular to CR
Answer:
12 < x < 18
Step-by-step explanation:
Assuming these are 2 sides of a triangle, then
given 2 sides of a triangle , the 3rd side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
15 - 3 < x < 15 + 3
12 < x < 18
How can you best use the word protrude in an art related sentence?
A. A shelf protrudes into a wall
B. A gravestone protrudes from the ground.
C. The wires from the computer protrude behind the desk.
D. A lollipop stick protrudes into your mouth.
Answer:
B. A gravestone protrudes from the ground.
Step-by-step explanation:
To protrude means to stick out. All other answers describe the object behind or inside something.
May someone please help me on this one
the greatest will be + 567
then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99
Do this fast please, I don't have a lot of time! You will literally gain 100 points answering this!
A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?
Just say A,B,C or D, and then the step by step explanation
Answer:
1.6
Step-by-step explanation:
Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]
There are six more necromancers than there are
wizards. Write a system of equations that deter-
mines the numbers of wizards and the number of
necromancers.
Answer:
Step-by-step explanation:
let x be necromancers and y be wizards
if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6
but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6
When do you say that a given quadrilateral is a parallelogram?
Answer:
Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
How much is it but don’t stop it fast cash x
Answer:
yes
Step-by-step explanation:
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
st 3 digit prime number, what will be the digit in units place?
Answer:
5
Step-by-step explanation:
If x is the middle number of the 5 consecutive odd numbers, their product is ...
x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x
The first 3-digit prime is 101, so the product of that with this is ...
101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x
Since we're only interested in the units digit, we can find the mod 10 value of this to be ...
(x⁵ +4x) mod 10
Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...
x(x⁴ +4) = 1(1⁴ +4) = 5
3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10
5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10
7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10
9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10
In every case, the units digit of 101z will be 5.
Tony works 25 hours per week. His take home pay is $19.20 per hour. If Tony is able to save all of his earnings, how
long will it take him to save at least $5760? Show your work.
Answer:
He'll have to work for 12 weeks.
Step-by-step explanation:
19.20×25=480.00(how much he earns in a week)
5760/480=12
Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts each friend gets.
Which equations should he use? Select all that apply.
A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120
−
48
=
p
Answer:
A and E MARK BRAINLIEST!
Step-by-step explanation:
Well lets look into this question carefully ,
You should first subtract 120- 48= 72
Then 72/ 8 = 9 so we can check all that apply equations we used
A and E
Which of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913
Answer:
91.3 and 0913
Step-by-step explanation:
91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.
Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.
91.3 would happen if you were adding .3 to 91
And 0913 would happen if you added 91 and 822
A flower shop has 426 flowers. This week they sell 285 flowers.
At the end of the week, the shop gets a delivery of 310 more flowers.
How many flowers does the flower shop have now?
A.
401
B.
429
C.
451
D.
461
Answer:
C. 451
Step-by-step explanation:
426 - 285 = 141
141 + 310 = 451
75 POINTS IF U GET THIS RIGHT !!!!!Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40\%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10\%$ of what it was on June 1, 2004?
Answer:
In 2009
Step-by-step explanation:
If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:
2004 = 100%
2005 = 60 % (100 * .6)
2006 = 36 % (60 * .6)
2007 = 21.6 % (36 * .6)
2008 = 12.96 % (21.6 * .6)
2009 = 7.776% (12.96 * .6)
This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.
I hope this helps! :D
Answer:
2009
Step-by-step explanation:
On June 1, 2004 we can say that there were 100% of the wrens.
If the number decreases by 40% each year, then each year there will be 60% of the previous years number. To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)
June 1, 2004 = 100%
June 1, 2005 = 100% x 0.6 = 60%
June 1, 2006 = 60% x 0.6 = 36%
June 1, 2007 = 36% x 0.6 = 21.6%
June 1, 2008 = 21.6% x 0.6 = 12.96%
June 1, 2009 = 12.96% x 0.6 = 7.776%
Therefore, the census shows that the number of wrens is less than 10% in the year 2009.
Solve the inequality: -2x + 7 < 23
Answer:
x > -8
Step-by-step explanation:
-2x + 7 < 23
Subtract 7 from each side
-2x + 7-7 < 23-7
-2x < 16
Divide by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
Step-by-step explanation:
[tex] = - 2x + 7 < 23[/tex].
Move the constant to the right side..
[tex] = - 2x < 23 - 7[/tex]
Subtract 7 from 23
[tex] = - 2x < 16[/tex]
Change the symbol and reverse the symbol of the inequality to other direction...
[tex] = 2x > - 16[/tex]
Now....divide both side by the same number
[tex] = x > - 8[/tex]
A jogger burned 96 calories during 8 minutes of jogging. At that rate, how
many calories would be burned during 14 minutes of jogging?
Proportions are created when we set two ratios equal to each other. They help us convert between rates.
Example:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}[/tex]⇒ In this example, we are solving for x.
⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?
To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]
Solving the QuestionWe're given:
8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burnedSet up a proportion:
[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]
⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.
Cross multiply:
[tex]8x=14*96\\8x=1344\\x=168[/tex]
AnswerTherefore, the jogger would burn 168 calories in 14 minutes of jogging.
construct the exponential function that contains the points (0,2) and (3,54)
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
How to construct the exponential function?The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
https://brainly.com/question/24077767
Evaluate 4a when a = 7.
The value is
Answer:
28
Step-by-step explanation:
a is equal to 7,
so where there is 'a' you replace
with 7
4(7)=7×4=
28
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
Solve the simultaneous equations
.
3x + y = 10
y = 2 - x
X =
y =
Step-by-step explanation:
please mark me as brainlest
Answer:
3x + (2 - x) = 10
3x + 2 - x = 10
2x + 2 = 10
2x = 10 - 2
2x = 8
x = 8/2
x = 4
y = 2 - x
y = 2 - 4
y = -2