Step-by-step explanation:
the scanned description is very hard to understand.
so I think what happened :
16x² - 9 = 16
then the first error :
sqrt(16x²) - sqrt(9) = sqrt(16)
that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.
so, correctly, the only possible transformation involving sqrt for both sides :
sqrt(16x² - 9) = sqrt(16)
but it would be even easier to clean up the various constant numbers with each other.
so,
16x² - 9 = 16
16x² = 25
and now we trashes the square root
sqrt(16x²) = sqrt(25)
4x = 5
x = 5/4 or x = -5/4
and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong
y³ - 1 = 7
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answer:
£3691 (nearest pound)
Step-by-step explanation:
Consider the rate of compound interest is r and the initial amount of savings is P, hence
[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]
Therefore, the final amount of savings after nth years of compund interest is
[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].
Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus
[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]
Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.
[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]
14.
Considered a sample of 52 football games where 32 of them were won by the home team use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one half
Answer: Yes the win level is greater than 1/2
Step-by-step explanation: 32/52 is greater than 1/2
hey hey u guyss 60 pointsss
-6.1(-4.1) +6.8=
btw hurry im timed plss :)
Answer:
31.81
Step-by-step explanation:
-6.1 * -4.1 = 25.01
+ 6.8 = 31.81
Answer:
31.8
Step-by-step explanation:
I will assume that
"-6.1(-4.1) +6.8="
means (-6.1)*(-4.1) +6.8=
(-6.1)*(-4.1) = 25
25 + 6.8 = 31.8
What is the next term of the geometric sequence?
192, 48, 12,
Answer:
3
Step-by-step explanation:
The pattern is dividing 4 each time.
192/4=48
48/4=12
12/4=3
Hope this helps! Plz give brainliest!
[tex]\huge \dag \sf{Answer \: it}[/tex]
Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!
Answer:
[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
[tex]f = \frac{rn}{1 - r} [/tex]
[tex]\huge \tt༆ Answer ༄[/tex]
The required expression is ~ B
[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]
Refer to the attachment for Solution ~
[tex]\sqrt{x} ^{2}-\sqrt{27}[/tex]
Answer:
[tex]x - 3\sqrt{3} [/tex]
Study hard!
Brainliest please thank you!
A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
A) 3cm
B)7.5
C) 15cm
D) 18.5cm
Answer:
C) 15 cm is the best estimate.
Step-by-step explanation:
The exact answer is not there, so 15 is the best estimate.
You can use this equation to help you:
d=C/π
Where d is the diameter.
C is the circumference.
And the last one is Pi.
You know that C = 45, so divide that by Pi (3.14).
45/3.14159 = 14.32
The closest answer is 15.
Hope this helps! Have a great day!
Answer:
The best estimate of the circle's diameter is 15cm.Step-by-step explanation:
Circumference = 2πr = 45cm=> 2 x π x r = 45 cm=> 2 x 22/7 x r = 45 cm=> 44/7 x r = 45=> 44r/7 = 45=> 44r = 315=> r = 7.16 (Rounded)=> Dia. = 7.16 x 2=> Dia. = 14.32=> Dia. ≈ 15 cmConclusion:
Therefore, the best estimate of the circle's diameter is 15cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
3/5n + 15 = 10 + 2/5n
n = ?
what is 1/5 times 5/6 use a fraction modelto to help you solve.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
If x = 4 and y = -2, the value of 1/2 xy2 is
Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
[tex]\frac{1}{2}[/tex] xy²
= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²
= 2 × 4
= 8
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)
Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.
What is the height of the scale model in inches?
Answer:
28 inches
Step-by-step explanation:
We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.
The height of the scale model is 28 inches.
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
https://brainly.com/question/1801406
5. Put the decimals in order from least to greatest. 1.23, 1.023, 1.203, 1.032
Answer:
1.023,1.032,1.203, and 1.23
Step-by-step explanation:
Which best describes how to add 9.73 and 21.6?
Answer:
31.33
Work:
1 1
9.73
+ 21.60
--------------------
31.33
Final Answer:
Therefore, 31.33 is our answer.
Hoped this helped.
In angle PQR, angle P = (4x – 14)º, angle Q = (5x + 6)", and angle R= (x - 2)°. Find
angle R.
we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
Solve for x. *
40
15
50
10
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!
Answer:
Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!
Step-by-step explanation:
PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
See below
Step-by-step explanation:
To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.
5)
The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.
It's pretty hard to read that top graph in the photo, but I think I see these ones marked:
Line 1: (0, 3) and (3, 0)
Line 2: (0, -3) and (2, 3)
Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.
Divide the change in y by the change in x:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]
The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.
Now for line 2:
[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]
When x increases by 1, y increases by 3.
The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.
Line 1: 3
Line 2: -3
Now, you can write the equations for these lines in slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept we found above.
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
In line 1, -1x can be simplified to just -x.
6)
I'll do the exact same process here, but with less explaining. Let me know if you have any questions.
Find 2 points:
Line 1: (0, -2) and (4, 0)
Line 2: (0, 6) and (4, -4)
Find the slope of line 1:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]
and line 2:
[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]
Now, the y-intercepts:
Line 1: -2
Line 2: 6
Write the equations:
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.
Example:
[tex]y=2x+1\\y=2x+2[/tex]
Those both have a slope of 2, and if you graph them, you'll see that they never intersect.
A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.
Example:
[tex]y=2x+1\\y=2x+1[/tex]
That's what they are, graph them however you like.
Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?
Answer:24
Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24
A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.
Answer:
14.
Step-by-step explanation:
1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;
2) if according to the condition P=35, then 9+x+x+2=35;
2x=24; ⇒ x=12;
3) if x=12, then a=9; b=12 and 14;
4) finally, c=14 - the required longest side.
If Angle CAB is 49 degrees, what is the measure of Angle ABD? *
Answer:
49 degree
Step-by-step explanation:
[tex]\sf 12(3+5)[/tex]
Hi,
12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96
I hope it helped.✅
Answer:
[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]
Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. A linear equation that expresses the total amount of money Jamie earns per house is y=70+40x. What are the independent variables? What is the y-intercept and the slope?
Answer choices:
Answer:
Slope:40 Y-intercept: 70 (AKA, B)
Step-by-step explanation:
y=mx + b
(mx is slope, the x can show u where the slope is usually located.)
let me know if im wrong
Which value of y makes the equation y+4.2=21 true?
Answer:
16.8
Step-by-step explanation:
21-4.2= 16.8
What is the slope of the line?
i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
Answers i can choose from
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses 4th grade work
Answer:
It's C
Step-by-step explanation:
You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho
will give brainliest!
Answer 4/5 now give brainliest
Please Help, And Include Explanation. I will Give Brainliest To Best Answer
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
Answer:
No question so no answer (just getting points i guess)
Step-by-step explanation:
AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)
Answer:
23/99 or 0.22222222222222.
Step-by-step explanation:
Answer:
23/99
Step-by-step explanation:
