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Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
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Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
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Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.
What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get:
A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.
The area of the scale drawing given the scale of the square is 64cm^2.
What is the area of the scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
To learn more about scale drawings, please check: https://brainly.com/question/26388230
.
Which of the following binomials is a factor of the trinomial below?
x^2-5x-24
Answer:
(x-8) and (x+3)
Step-by-step explanation:
To find the binomials of the trinomial, we just need to factor in the trinomial.
First,
x² -5x - 24
Then split it, so the terms add to -5 and multiply to -24
x² +3x -8x - 24
Then factor x in the first part, and -8 in the second part.
x(x+3) - 8(x+3)
Factor again
(x-8)(x+3)
Answer:
Step-by-step explanation:
Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).
So, the factors are 3 and (-8)
When we add 3 +(-8) = -5 ; we multiply we get (-8)*3 =(-24)
Replace the middle terms with the factors.
x² - 5x - 24 = x² - 8x + 3x - 24
= x(x - 8) + 3(x - 8)
= (x - 8)(x+3)
the length of a rectagle is twice its width. if the perimeter of the rectangle is 36in, find its length and width
Answer:
6*2=12
if length is 12 half it would be 36
Answer:
width = 6in
length = 12in
Step-by-step explanation:
If we call the width x, the length has to be 2x and so...
x + 2x + x + 2x = 36 (this can be simplified to ↓)
6x = 36 (if you divide both sides by 6...)
x = 6
This means that the width of the rectangle is 6in and so the length is 12in.
Hope this helps!
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
How to calculate the volume of a pyramid.Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]
For the base area:
The area of a right triangle is given by:
[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]
A = 54 square units.
Given the following data:
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]
h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
Rewrite the equation by completing the square. X^2-14x+40=0
Answer:
(x – 7)² – 9
Step-by-step explanation:
I hope this helps
A store pays $25 for an encyclopedia. The store marks up the price by 40%. What is the amount of the mark-up?
if julie make 18 baskets how many baskets does kari make how many baskets do they make in all
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question
Can somebody please help me thank you
Answer: <
Step-by-step explanation:
here is it not sure if you will spot it
i dont understand your question
Answer:
[tex]f(x)=-5x^2+20x[/tex]
8.75 m
Step-by-step explanation:
Given ordered pairs: (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)
From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant. Therefore, the relation is not linear.
As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.
The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).
Creating an equation using the x-intercepts:
[tex]f(x)=a(x-0)(x-4)[/tex] where [tex]a[/tex] is some constant
[tex]\implies f(x)=ax(x-4)[/tex]
[tex]\implies f(x)=ax^2-4ax[/tex]
Creating an equation using the vertex form:
[tex]f(x)=a(x-2)^2+20[/tex]
[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]
Equating constants to determine a:
[tex]4a+20=0 \implies a=-5[/tex]
Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]
When x = 0.5:
[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]
[tex]=-1.25+10[/tex]
[tex]=8.75[/tex]
Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m
express the confidence interval 0.255 plus or minus 0.045
Answer:
0.255+45=0.300
or
0.255 - 0.045 = 0.210
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
(A) :
[tex]y = - \frac{5}{2} x + 40[/tex]
(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week
Step-by-step explanation:
shown in the attatchment
Estimate by rounding each decimal to the nearest whole number. 5.85+23.24
Answer:
Step-by-step explanation:
Sketch a graph of − 3 x − y = − 4
Answer:
Step-by-step explanation:
Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6
Answer: C. 6t
Step-by-step explanation:
T is unknown, but because you are only asked for the equation to figure out the total, you simply multiply the 6 chairs per t, or table together, 6t
Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm
Answer:
Step-by-step explanation:
Scale factor = 4 : 500
= 1 : 125
Let the length of hall in her plan = x cm
1 : 125 = x : 1050
[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]
Cross multiply,
1*1050 = x*125
[tex]\sf x =\dfrac{1050}{125}[/tex]
x = 8.4 cm
The length of the hall in her plan = 8.4 cm
Help..........................
Hello! I believe your answer is x= -4 so B
===
Hope this helps and feel free to give feedback
Answer:
x = -4
Step-by-step explanation:
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesosPlease help plsssssss
Answer:
Box 1. 2x
Box 2. -13 (1/3) or (-40/3)
Box 3. 2x
Box 4. (2/3)x
Box 5. 3
Box 6. 3
Box 7. -20
Box order left to right.
Step-by-step explanation:
(5/3)x + (1/3)x = 13 (1/3) + (8/3)x
add numberator ( top number ); keep the denominator the same ( bottom number )
Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)
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Line 2. -13 (1/3) = (8/3)x - 2x
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Ex. 3 × (-13) = 39 - 1 = (-40/3)
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Line 3. (-40/3) = (2/3)x
---------------------------------------------
Line 4. (3) (-40/3) = (2/3)x (3)
----------------------------------------------
-40 = 2x
÷2 ÷2
Line 5. -20 = x
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Sorry if this is a little confusing. I hope this helped!
Step-by-step explanation:
2
-13/1/3 ; 2
2/3
3 ; 3
-40
hope it help
hi i need help ill give brainlyest
Answer: 48.
Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side. 48 is at the the tip of the left whisker. Therefore, that's your answer.
Hope this helps! :)
which of the following are polynomials
Answer:
I think so Option D is the correct answer
solve pls don't spam for marks
Answer:
the first answer is commutative property of addition and the second answer is commutative property of multiplication
Step-by-step explanation:
hope this helps
have an awesome day -TJ
if you need anymore help just let me know
pls mark brainliest :)
A rectangular shaped garden has an area of 80 square feet. The length is 5 less than twice the width. What are the dimensions of the garden?
Answer:
Width=28 1/3 Length=51 2/3
Step-by-step explanation:
1. Create an equation
x+(2x-5)=80
2. Solve
x+(2x-5)=80
3x-5=80
3x-5+5=80+5
3x/3=85/3
x=28 1/3
So, if x=28 1/3
85/3x2=170/3
56 2/3-5
So, Length=51 2/3
No Calculator Let gbe a twice-differentiable function. The function g and its derivatives have the properties indicated in the table above. 0 0
Hi there!
Part D:
We can use the Taylor Polynomial expansion for a second-degree polynomial:
[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.
We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]
Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?
Divide total bought by number of people first:
680 / 45 = 15.111
round up to 16. Multiply 16 by 45:
45 x 16 = 720
He should have bought 720 pieces. Now by Tracy to find how many more pieces:
720 - 680 = 40
He should have bought 40 more pieces.
Four less than the product of seven and a
number is seventeen. What is the number?
=============================================
First of all, let the number be u.
The product of 7 and u means you should multiply 7 times u:
[tex]\pmb{7u}[/tex]
Now, subtract 4:
[tex]\pmb{7u-4}[/tex]
This expression equals 17:
[tex]\pmb{7u-4=17}[/tex]
[tex]\rule{200}{2}[/tex]
[Now, let's Find the Value of u]
First, add 4 to both sides:
[tex]\pmb{7u=21}[/tex]
Now, divide both sides by 7:
[tex]\pmb{u=3}[/tex]
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notes:-Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)
i need help finding x and y
Answer:
x is 5 and y is 6
Step-by-step explanation
we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y
Answer:
Y -- 6
X -- 5
Step-by-step explanation:
we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5 = 11 - 5 = 6.
we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5
What value in place of the question mark makes the polynomial below a perfect square trinomial?
x^2 + 24x + ?
A. 24
B. 48
C. 144
D. 12
Answer:
144
Step-by-step explanation:
[tex]x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2[/tex]
true or false? multiplying the parent linear function by 3/4 results in vertical stretch
f(x) ⇒ a*f(x)
This results in a vertical stretch, or compression.
When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].**There are multiple correct answers when asked about a, or vertical stretches/compressions.
Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.We could say the following:
f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.Both of the above responses are correct.
Solving the QuestionWe're given:
We multiply the parent function by [tex]\dfrac{3}{4}[/tex].In this case, 0 < a < 1.
This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].AnswerTrue and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.