Answer:
Calculator Use
Count how many significant figures are in a number, and find which digits are significant. You can use this calculator for significant figures practice: Test your ability to find how many significant figures are in a number.
Enter whole numbers, real numbers, scientific notation or e notation. Example inputs are, 3500, 35.0056, 3.5 x 10^3 and 3.5e3.
Find How Many Significant Figures
Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. They include:
Any non-zero digit
Zeros between non-zero digits as in 3003 or 45.60009
Trailing zeros only when there is a decimal point as in 6750. or 274.3300
How to Identify Non-Significant Figures
Digits of a number are not significant when they do not add information regarding the precision of that number. They include:
Leading zeros as in 0.009 or 0056
Trailing zeros as in 45000 when no decimal point is present. If an overline is present as in 45000 the overlined zero is significant but the trailing zeros are not significant.
Find Significant Figures
How Many
Sig Figs? Which Figures
are Significant?
81 2 8, 1
26.2 3 2, 6, 2
0.007 1 7
5200.38 6 5, 2, 0, 0, 3, 8
380.0 4 3, 8, 0, 0
78800 3 7, 8, 8
78800 4 7, 8, 8, 0
78800. 5 7, 8, 8, 0, 0
Step-by-step explanation:
Hope this helps :)
You deposit $7550 in an account that pays 7.25% interest, compounded continuously. How long to the
nearest year will it take for the money to triple?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}[/tex]
[tex]3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t[/tex]
It will take approximately 9.55 years (rounded to the nearest year) for the money to triple.
Here, we have,
To determine how long it will take for the money to triple, we need to use the continuous compound interest formula:
A = P *[tex]e^{rt}[/tex],
where:
A = final amount (triple the initial amount)
P = principal amount (initial deposit)
e = Euler's number (approximately 2.71828)
r = interest rate
t = time (in years)
In this case, we have:
P = $7550
r = 7.25% = 0.0725 (converted to decimal)
A = 3P (triple the initial amount)
Substituting these values into the formula, we have:
3P = P *[tex]e^{rt}[/tex]
Dividing both sides of the equation by P, we get:
3 = [tex]e^{rt}[/tex]
To isolate the variable t, we take the natural logarithm (ln) of both sides:
ln(3) = ln[tex]e^{rt}[/tex]
Using the logarithmic property that ln(eˣ) = x, we have:
ln(3) = rt * ln(e)
Since ln(e) = 1, the equation simplifies to:
ln(3) = rt
Now, we can solve for t by dividing both sides by r:
t = ln(3) / r
Substituting the values:
t = ln(3) / 0.0725
Using a calculator or software, we find:
t ≈ 9.55 years (rounded to two decit will take approximately 9.55 years (rounded to the nearest year) for the money to triple. deimal places)
Therefore, it will take approximately 9.55 years (rounded to the nearest year) for the money to triple.
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The dot plot above identifies the number of pets living with each of 20 families in an apartment building. What fraction of the families have more than two pets?
3/20
1/5
1/4
9/20
Step-by-step explanation:
refer the above attachment
Answer:1/5
Step-by-step explanation:
The cost of a pair of boots at a certain store is 145% of the cost of a pair of sneakers. The pair of sneakers costs $21.
What is the cost of 2 pairs of boots?
Answer:The answer is 60.90 I took te 2.03 math quiz and got 100 first A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.
What percent of the theater group is also in the photography club?
Enter your answer in the box. 60, next questionA builder wants to increase the size of one of his square patios. The patio measures 16 feet on each side. The builder plans to increase each side of the patio to be 125% of its current measure.
How many square feet larger is the area of the new patio than the area of the current patio?
Responses
144 A manual with 325 pages has 3 pages without pictures.
What percent of the pages in the manual do not have pictures?
Enter your answer, as a decimal rounded to the nearest hundredth of a percent, in the box. 0.92
Step-by-step explanation: all answers
The cost of 2 pair of boots is given by A = $ 60.90
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of 2 pair of boots be A
Now , the cost of pair of boots = 145 % the cost of pair of sneakers
Substituting the values in the equation , we get
The cost of pair of sneakers = $ 21
So , the cost of pair of boots = ( 1.45 ) x 21
The cost of pair of boots = $ 30.45
Now , the cost of 2 pair of boots A = 2 x cost of pair of boots
On simplifying , we get
The cost of 2 pair of boots A = $ 60.90
Hence , the cost of 2 pair of boots is $ 60.90
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help!!! how do i solve this
Answer:
(a) 7.1
(b) (5/2, 3/2)
(c) 2
(d) y = -x +4
Step-by-step explanation:
(a)The length of AC is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1
The length of AC is about 7.1.
__
(b)The midpoint has coordinates that are the average of the end point coordinates.
midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2
midpoint BC = (5/2, 3/2)
__
(c)The slope is found using the slope formula.
m = (y2 -y1)/(x2 -x1)
For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...
m = (4 -0)/(0 -(-2)) = 4/2 = 2
The slope of AB is 2.
__
(d)The slope of line BC is found in the same was as for AB.
m = (-1 -4)/(5 -0) = -5/5 = -1
The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
y = -x +4
Alvita is planning a garden patio to be made from identical square paving stones laid out in a rectangle
measuring 2 stones by y stones.
She finds that when she adds a border of width one stone around the patio, the area of the border is equal
to the original area of the patio.
How many possible values for x are there?
The length of the square paving is the base unit to which the area of the
and patio and the border are evaluated.
Correct response:
The possible x-values are; 10, 6, 4, and 3Which method is used to evaluate the area of the patio?Let s represent the size of the square paving, we have;
Area of the patio = s·x × s·y = s²·x·y
New area = (2·s + s·x) × (2·s + s·y) = 4·s² + 2·s²·y + 2·x·s² + s²·x·y
Area of the border = 4·s² + 2·s²·y + 2·x·s² = s²·x·y
2·s²·(2 + y + x) = s²·x·y
2·(2 + y + x) = x·y
4 + 2·y + 2·x = x·y
x·y - 2·x = 4 + 2·y
x·(y - 2) = 4 + 2·y
Which by using gives;
[tex]x = \mathbf{ \dfrac{4 + 2 \cdot y }{y- 2}}[/tex]
By graphing the above equation on MS Excel, we have the following
possible values of x, and y combination; (10, 3) (6, 4), (4, 6), (3, 10).
Therefore;
The possible values of x are; 10, 6, 4, and 3Learn more about equations here:
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Help me asap I’ll give brainliest
Line segment AB has a length of 4 units. It is translated 1 unit to the right on a coordinate plane to obtain line segment A’B’ . What is the length of A'B'?
1 units
4 units
5 units
6 units
2 hours before 1:40 a.m. with process
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: 11:30 \: p.m }}}}}}}}[/tex]
Step-by-step explanation:
The given question is to find 2 hours before 1:30 a.m.
The a.m or 'ante meridiem' & p.m or 'post meridiem'. is used in the 12 hour clock system which is a system where the 24-hours in a day is divided into 2 equal parts → a.m & p.m.
The time after 12 midnight till 12 noon is included in a.m. while the time from 12 noon to 12 midnight is included in p.m.
So, 2 hours before 1:30 a.m,
1:30 a.m - 2:00 = 11:30 p.m.This happened because, it's under the 12-hour system so, the numbers range from 1 - 12 . Since, 1:30 a.m comes somewhat towards the beginning, we have to go back 2 hours & that's 11:30 p.m.
_________
Hope it helps!
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■ https://brainly.com/question/19814247
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[tex]\mathfrak{Lucazz}[/tex]
What is equivalent to n^-10/n^2
Answer:
1/n^12 or n^-12
Step-by-step explanation:
=n^-10 / n^2
=1/n^10 / n^2
=(1/n^10) *(1/n^2)
=1/n^12
What is the solution to this equation?
−14(x+123)=−215
x=15 7/15
x=10 7/15
x=7 2/15
x=2 2/15
What is 500% as a fraction?
Answer:
Step-by-step explanation:
5/1
Answer:500/100
Step-by-step explanation:
in math what is 100 x 100?
Answer:
10000
Step-by-step explanation:
Answer:
1000
Step-by-step explanation: just add 100 100 times
Does (2,0) work as a solution to the systems of equations to lines 3x+y=6 and 3x-y=6
Answer:
Yes
Step-by-step explanation:
To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.
3x + y = 6:
[tex]3(2) + 0 = 6[/tex] [tex]6 + 0 = 6[/tex] [tex]6 = 6[/tex] (2,0) is a solution to this equation.3x - y = 6:
[tex]3(2) - 0 = 6[/tex] [tex]6 - 0 = 6[/tex] [tex]6 = 6[/tex] (2,0) is a solution to this equation.Therefore, the answer is yes, it does work as a solution.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solve for x
cos x =sin 5x
Describe the error in the work shown.
3 to the square root of x^3(y^12)/4^3 = 3 to the square root of x^3(y^12)/3 to the square root of 4^3
Answer:
should be xy^4/4
Step-by-step explanation:
next to the last step (x^3(y^3)^4)^1/3
HELP MEH
I can't figure this out. Please explain
Answer:
x ≈ 33.0
Step-by-step explanation:
The third angle in the triangle is
180° - 70° - 76° = 180° - 146° = 34°
Using the Sine rule in the triangle
[tex]\frac{x}{sin76}[/tex] = [tex]\frac{19}{sin34}[/tex] ( cross- multiply )
x × sin34° = 19 × sin76° ( divide both sides by sin34° )
x = [tex]\frac{19sin76}{sin34}[/tex] ≈ 33.0 ( to the nearest tenth )
Answer:
x=33 (since it says to round it)
Step-by-step explanation:
This is an ASA triangle.
First, we need to find the value of the unlabeled angle, which is simple:
180°-70°-76°=34° Lets call that angle A
Now we use the law of sines:
x/sinX = a/sinA
x/sin76° = 19/sin34°
Then:
x = (19/sin34°) × sin76°
x = 32.968
The function shown in the graph is shifted 4 units up to produce a
new graph.
Which function represents the new graph?
मीर
of(a) = cos (2)+4
n
21
ton
of(2)=34+ sinz
of(a) =4cost
of(E) =4sinz
Answer: D
Step-by-step explanation:
A landscaper wants to increase the size of one of his square gardens. The garden measures 8 feet on each side. The landscaper
plans to increase each side of the garden to be 175% of its current measure.
How many square feet larger is the area of the new garden than the area of the current garden?
A. 260ft
B.160ft
C.132ft
D.48
Answer:
its c
Step-by-step explanation:
The area of the new garden will be 132ft longer than that of the current garden
Area of the squareThe formula for calculating the area of a square is expressed as:
A = L²
If the garden measures 8 feet on each side, then;
A = 8²
A = 64ft²
If the side length is increased by 175%, hence new length will be;
l = 8 + (1.75*8)
A = 14 * 14ft
A = 196 ft²
Difference = 196 - 64
Difference = 132ft
Hence the area of the new garden will be 132ft longer than that of the current garden
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Is 3 a solution to the equation: 3x + 2 = 2x + 4 + x? (Show Work) You are NOT solving for x
Answer:
x = 3 is NOT a solution. See image.
Step-by-step explanation:
If x = 3 was the solution to the given equation, then it will make a true sentence when we put 3 in place of x. It does not. See image.
Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.
Answer:
D is approximately (-2, -1)
Step-by-step explanation:
[tex]{ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}[/tex]
[tex]{ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}[/tex]
Solve the green equation and blue equation simultaneously:
[tex]{ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}[/tex]
Let the co-ordinates of D be (a,b)
Slope of AB =Slope of CD[tex]\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}[/tex]
[tex]\\ \tt\hookrightarrow -a-2=2b+4[/tex]
[tex]\\ \tt\hookrightarrow a+2b+6=0\dots(1)[/tex]
Slope of AD=Slope of BC[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6[/tex]
[tex]\\ \tt\hookrightarrow 6a-12=b-3[/tex]
[tex]\\ \tt\hookrightarrow 6a-b-9=0\dots(2)[/tex]
Multiplying 2 with eq(2)
[tex]\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)[/tex]
Add eq(1) and (3)[tex]\\ \tt\hookrightarrow 13a-12=0[/tex]
[tex]\\ \tt\hookrightarrow a=12/13=0.9\to 1[/tex]
Put in eq(1)[tex]\\ \tt\hookrightarrow 12/13+2b+6=0[/tex]
[tex]\\ \tt\hookrightarrow 90/13=-2b[/tex]
[tex]\\ \tt\hookrightarrow b=-90/26=-3 4\to 3[/tex]
How do you simplify?
-6(y-z)=
Answer:
-6(y-z)=-6y+6z
Hope This Helps!!!
Answer:
-6y +6z
Step-by-step explanation:
-6(y-z)=
Distribute by multiplying the -6 to each term in the parentheses
-6*y -6 *(-z)
-6y +6z
Miss Mowrey gave out some A grades last trimester. In fact, she gave out 27 As. Her students decided they should work harder, so this trimester there were 1 1/3 of that number. How many As did Miss Mowrey give out this trimester?
Answer:
36
Step-by-step explanation:
Let's split [tex]1\frac{1}{3}[/tex] of that number
Of means multiply
That number is referring to 27
Solve [tex]1\frac{1}{3} *27[/tex]
[tex]1\frac{1}{3} *27[/tex] = 36
Ms. Mowrey gave out 36 As this trimester.
Hope this helps :)
Have a nice day!
Find the inverse function
Answer:
f^-1(x) = ( x + -1 )³
Step-by-step explanation:
f(x) = ∛x + 1
y = ∛x + 1
we have to make x the subject to find the inverse
y = ∛x + 1
y - 1 = ∛x
( y - 1 )³ = x
so Inverse: f^-1(x) = ( x + -1 )³
(6,−3) after a dilation by a scale factor of \frac{1}{3}
3
1
centered at the origin?
Answer: The new point would be (2,-1)
Step-by-step explanation:
To dilate a point, you simply multiply the scale factor (1/3) by the x- and y-values of the point:
6 x 1/3 = 2
-3 x 1/3 = -1
Therefore, the new point would be (2,-1)
I hope this helps!
10
Nate had 30 minutes to do a three-problem quiz. He spent 11 minutes on question A and 3
minutes on question B. How much time did he have left for question C?
type of solution for x(5−2)=4x−x
Answer:
X=2
Step-by-step explanation:
X(5-2)=4x-x
5x-2x=4x-x (then moving everything to one side)
5x-2x-4x+x=0 (5x-4x-x=5x-5x which is 0)
-2x=0
X=2
Which choice is the solution to the inequality below?
[tex]9x \leqslant 72[/tex]
A.
[tex]x \leqslant 63[/tex]
B.
[tex]x \leqslant 2[/tex]
C.
[tex]x \geqslant 8[/tex]
D.
[tex]x \geqslant8[/tex]
Answer:
x<= 8 ( Answer not in the given options)
Step-by-step explanation:
9x <= 9
divide both sides by 9 to get x
9x <= 72
9 9
x <= 8
A science club is made up of 18 girls and 12 boys. Four of the girls and 5 of the boys are also in the Spanish club.
What percent of the science club is also in the Spanish club?
Answer:
Step-by-step explanation:
Add 18+12=20
20-(5+4)=11
Make 11 into a fraction over 100. Then take your numerator and that is your percent. Make sure your percentage is behind the decimal.
HELP PLEASE MATH MIDDLE SCHOOL GEOMETRY
Answer:
the answer is 82
Step-by-step explanation:
add 60+38=98 and subtract it by 180
180-98=82
not good at explaining hope it help
The variables x and y have a proportional relationship, and y = 5/6 when x = 3/4
Which equation represents this relationship?
y = 1/2x
y = 9/10x
y= 5/8x
y= 1 1/9x
Answer:
(d) y= (1 1/9)x
Step-by-step explanation:
A proportional relation is described by the equation ...
y = kx
Dividing by x shows how to find the value of k:
k = y/x
For the given values of y and x, the value of k is found to be ...
k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9
The relationship is represented by the equation ...
y = (1 1/9)x
Answer:
the answer is y=1 1/9x because i took thek12 quiz
Step-by-step explanation:
Pls help!!
Slope = 2; (14, 33)
Answer:
y = 2x + 5
Step-by-step explanation:
Consider the format of a line equation, y = mx + b
The slope is represented as the variable 'm.'
Since we already know that the slope is 2, we can input it into the format.
y = 2x + b
Assuming that the point (14, 33) is a point of intersection, we can input these numbers into the equation in order to find the value of b, or the y-intersect.
33 = 2(14) + b
33 = 28 + b
5 = b
