Answer:
(a) 1
Step-by-step explanation:
The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).
1 most affects the number of significant digits in the answer
30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).
Answer:
-1/2
Step-by-step explanation:
The relevant relationship is ...
f^-1'(x) = 1/f'(f^-1(x))
f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2
f^-1'(2) = -1/2
_____
The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).
The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.
convert
b) 25 m³ to ft³
c) 11 ft² to in²
Answer:
conversions are below
Step-by-step explanation:
b) 25 m³ = 882.867 ft³
c) 11 ft² = 1584 in²
Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since
Answer:
7
Step-by-step explanation:
because you just take the quadratic number and divide it by x2 and you get 7!!!
Answer:
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² + 6x = - 17
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(3)x + 9 = - 17 + 9
(x + 3)² = - 8 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?
Using a linear equation, we find c using:
[tex]42 = 18 + 4c[/tex]
A linear function has the following format:
[tex]A(n) = A(0) + cn[/tex]
In which:
c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]
She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]
Then
[tex]A(n) = A(0) + cn[/tex]
[tex]42 = 18 + 4c[/tex]
Hence, the equation to find c is:
[tex]42 = 18 + 4c[/tex]
A similar problem is given at https://brainly.com/question/16302622
a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)
If zero is considered to be positive, the answer is zero (0).
otherwise
562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).
Moving the start, the smallest integer up 1 adds 1125 to the sum.
1125 = 9 * 125
1125 = 9 * 5³
= 9³ * 5³ is the smallest sum
= 45³
= 91125
Therefore the smallest possible sum is 91125
for more questions like this see, https://brainly.com/question/19261165
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answer:
x = 3/8
Step-by-step explanation:
[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
the reciprocal of 4 is
the answer of ur question is 0.25
Please help! please find the answer!
Answer:
I’m pretty sure it’s the bottom one
Step-by-step explanation:
A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
i asked this already but please solve this NO LINKS
Answer:
-4x^3+12x^2-1
Step-by-step explanation:
POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?
A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4
Answer:
B and D.
Brainliest please. :)
Robert climbed 775 step in 12 1/2 minutes.
How many steps did he average per minute?
Answer:
62
Step-by-step explanation:
775 steps divided by 12.5 minutes is 62 steps per minute.
22.45=x+5y,
27.45=x+7y
Answer
7
Step-by-step explanation:
I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help
Answer:
1.A
2.D
3.B
4.C
5.D
6.A
7.C
8.C
9.D
Step-by-step explanation:
im very confused on the question attached below....can someone pls explain it with an answer?
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST
What is the slope of the line passing through (1, 2) and (3.8)?
Answer:
The slope = 3
Step-by-step explanation:
The points are:
( 1, 2 ) = x₁ , y₁
( 3, 8 ) = x₂ , y₂
The slope is calculates as follows:
slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]
Answer: The slope of the line is 3
Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps
Please help with algebra question on empirical rule!!
Answer:
Step-by-step explanation:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
solve pls brainliest
Answer:
1) No it repeating
2)No it doesn't terminate nor repeat
3) yes this terminates
4) no its repeating
Step-by-step explanation:
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Learn more here: https://brainly.com/question/23004769
let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?
The units of [tex]r'(t)[/tex] are gallons per square hour.
Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.
As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.
Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.
To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167
(Subtract): √125-√45
Answer:
2√5
Step-by-step explanation:
√125-√45
5√5 - 3√5........simplify
2√5....................combine like terms
125 √45
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u
6-4x=7x-9x+2 whats the value
Answer:
x=2
Hope it's help
Brainliest plz
Answer:
x=2
Step-by-step explanation:
first collect the like term that is
6-2=7x-9x+4x
4=2x divide bothe sides by 2
X=2
50 points!!! help fast! 50 points!!!
Answer:
∠PQC = 26.25°
Step-by-step explanation:
∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°Finding ∠PQC
1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°Answer:
This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed
Step-by-step explanation:
What is slope ? Help me please
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Pleaseeee help please
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.
helppp pls alg2
How do the graphs of transformations compare to
the graph of the parent function?
Simplify the expression.
(6/7c)^2
A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2
we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2
so the answer is D
ok done. Thank to me :>
Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)
Answer:
cos(60) = sin(30)
Step-by-step explanation:
cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°
sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°
what is the calculation for 70 increased by 9%