Answer:
16.024
Explanation:
Using linear approximation:
We breakdown the numbers in order to solve thus:
[32(1 + 0.1875)]^0.8
= (32^0.8)*(1 + 0.001875)^0.8
= 16* (1 + 0.8*0.001875)
= 16*(1.0015)
= 16.024
The estimated value of the given number is 16.02
What is linear approximation?A linear approximation is an approximation of a general function using a linear function. They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.
[tex]f(x) = x^{4/5}[/tex] at [tex]x_o = 32\\[/tex] [tex]\Delta\ x = 0.05[/tex]
[tex]f(x) = 32^{4/5} = 16[/tex]
[tex]f'(x) = (4/5)x^{-1/5}\\\\f'(32) = (4/5)32^{-1/5}\\\\= 0.4[/tex]
[tex]L(x) = 0.4(x-32)+16 = x^{4/5}\\\\L(32.05) = 0.4(32.05-32)+16\\\\= 16.02 \\\\= (32.05)^{4/5}[/tex]
Hence, the estimated value of the given number is 16.02
learn more about linear approximation click;
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z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
how is the graph of y=4x^(2)+2 different from the graph of y=4x^(2)
Answer:
y=mx+b
Step-by-step explanation:
so that is b right?
that means its what number you start the y on
I’ll give brainliest
Answer:
Hello! answer: -12
Step-by-step explanation:
-36 ÷ 3 = -12
-72 ÷ 6 = -12
-108 ÷ 9 = -12
answer is -12
Answer:
-12
Step-by-step explanation:
To do this, you have to divide the x and y, to find the scale factor.
-36 ÷ 3 = -12
So the answer is -12.
1. 7/18 * 1 ⅐ + 2/3.
2. 3x + 1 ⅐ = 2
Answer:
Step-by-step explanation:
for first one's answer visit;
https://answers.everydaycalculation.com/subtract-fractions/2-3-minus-7-18
for sencond one;
3x=2+1
3x=3
x=1
for more info visit;
https://www.cymath.com/answer?q=3x-1%3D2
A recent study indicated that the average cost of living for a family of four in various cities across the US was $65,351 with a standard deviation of $7712. A company is thinking about relocating to a city with a lower cost of living. They would like to choose a city in the bottom 30% of those surveyed. What is the cutoff for the cost of living that would make a city eligible for relocation by this company
Answer:
The correct answer is "57408".
Step-by-step explanation:
Given:
[tex]\mu=65351[/tex]
[tex]\sigma=7712[/tex]
[tex]p=0.15[/tex]
As per the standard table, we know,
[tex]z=-1.03[/tex]
Now,
⇒ [tex]z=\frac{x-\mu}{\sigma}[/tex]
By putting the values, we get
[tex]-1.03=\frac{x-65351}{7712}[/tex]
[tex]x=57407.64[/tex]
or,
[tex]=57408[/tex]
Please help image attached
Answer:
hope it helps mark as brainliest
Find the length x (plz help giving BRAINLY)
Answer:
x = (7×4) /8 = 7/2
what is the missing angle
Answer:
the answer is 67 like the other angle because they are vertical from each other which make them the same
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x = 67 degrees
Step-by-step explanation:
Use opposite angles! The angle opposite from x is 67, therefore x is also 67. Hope this helps! :)
what is a secant of a circle
In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points. In the case of a circle, a secant will intersect the circle at exactly two points.
Is 12 1/2 even or odd. How do you know?
Joseph earns $10,000 a month working at a law firm. His monthly living expenses like food and gasoline amount to $3,500. He pays $2,700 for his mortgage. He also has $900 in credit card debt and pays $1,200 toward his auto loan each month. What is Joseph's debt-to-income ratio
Rosie spent $25 on a new DVD. What integer represents Rosie’s situation? A 50, B -25, C 0, D 25
Can someone please help me?
Answer:
g(x)=-(x+2)(x-1)
g(x)=6-3x-3x^2
Step-by-step explanation:
Use desmos to graph each function and then just see which ones are equal to zero when x=-2 and x=1
Can anybody help me find the answer
Answer:
8 units²
Step-by-step explanation:
2(2) + 2(2) = 8
Below is a regression analysis of the number of burglaries in 2006 (response variable) on the student enrollment (explanatory variable) for 17 randomly-selected four-year public universities in the United States. Assume that the conditions for regression inference have been satistied.
Predictor Coef SE Coef T P
Constant 4.43 10.41 0.43 0.677
Enrollment 0.0018751 0.0005724 3.28 0.005
S= 22.5012 R-Sq= 41.7% R-Sq (adj ) =37.8%
Which of the following is an appropriate interpretation of the number 22.5012?
(a) The standard deviation of the response variable "student enrollment" is 22.5012.
(b) The standard deviation of th explanatory variable "number of burglaries" is 22.5012. )
(c) The typical distance between observed values for student enrollment and values for enrollment predicted by the regression equation is about 22.5012.
(d) The typical distance between observed values for number of burglaries and values for number of burglaries predicted by the regression equation is about 22.5012.
(e) The sum of the squared deviations between the observed number of burglaries and the number of burglaries predicted by the regression equation is about 22.5012
Answer:
d. The typical distance between observed values for number of burglaries and values for number of burglaries predicted by the regression equation is about 22.5012.
Step-by-step explanation:
In a regression output, the S which is the standard error of the regression, gives us the absolute measure of the average distance from which the observed data point falls from the line of regression. S is in the unit of the response variable or the dependent variable. The response variable is the number of burglaries in 2006. Based on this explanation, option d is the best and right answer for this question.
A cylindrical fuel tank is 1.25 meters high and has
a radius of 0.60 meter. If the tank can only be
filled to an 85% capacity to allow for expansion
of the fuel, what is the maximum volume of fuel?
Answer:
The maximum volume of the fuel is:
[tex]V_{fuel}=1.20 \: m^{3}[/tex]
Step-by-step explanation:
The volume of the cylinder is given by:
[tex]V=\pi r^{2}h[/tex]
[tex]V=\pi (0.6^{2})(1.25)[/tex]
[tex]V=1.41 \: m^{3}[/tex]
If the tank can be filled to 85% of its capacity, the maximum volume of the fuel will be:
[tex]V_{fuel}=1.41*(\frac{85}{100})[/tex]
[tex]V_{fuel}=1.20 \: m^{3}[/tex]
I hope it helps you!
Half of Isiah’s money is equal to ⅔ of Bob’s money. Isiah has $15 more than Bob. How much money do they have altogether?
The amount of money they have altogether is $105.
What is the system of equations that represent the question?i - b = $15 equation 1
1/2i = 2/3b
3i = 4b
i = 4b/3 equation 2
Where:
i = amount of money Isiah has
b = amount of money Bob has
How much money does Bob have?Substitute for the value of i in equation 1
4b/3 - b = $15
1/3b = $15
Multiply both sides of the equation by 3
b = $45
How much money does Isiah have?
Substitute for $45 in equation 1
i - $45 = $15
Add $45 to both sides of the equation
i = $45 + $15
i = $60
How much do they both have?
$60 + $45 = $105
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
The following examples illustrate the commutative property of multiplication.
5 · 2 · 9 = 2 · 5 · 9
3.14 · 2 = 2 · 3.14
Study the examples, then choose the statement that best describes the property.
a · b = a ÷ b
a · (b · c) = (a · b) · c
a · b = b · a
a · b = a · c
Carlos bought 4 pounds of carrots.
How many ounces of carrots did he buy?
Carlos bought ounces of carrots.
Answer:
64 ounces of carrots
Step-by-step explanation:
4×16=64
Answer:
64 ounces
Step-by-step explanation:
There are 16 ounces in 1 pound.
If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.
16 * 4 = 64 ounces
Help with the slop thanks
Which of the following is a geometric sequence?
A) 5, 7, 9, 11, 13, ...
B) -3,3, -3, 3, -3, 3, ....
C) -2,0, 2, 4, 6, ...
D) 0, -3, -6, -9, -12, -15, ...
help a homie out
AYUDAAAAAAAA POR FAVORRRRR
so sorry not sure how to do this ! :c
A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)?
Answer in complete sentences and include all relevant calculations to support your conclusion.
9514 1404 393
Answer:
trapezoid
Step-by-step explanation:
One pair of sides is parallel, so the figure is a trapezoid.
__
The upper right and lower left line segments both have slopes of -2/3. Since their slopes are the same, they are parallel. The slope is found by counting grid squares between points where the lines cross grid intersections. Those crossings occur down 2 and right 3 grid squares apart, so the slope is ...
m = rise/run = -2/3
A jazz concert brought in $167,000 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
3,550 $15 tixkets and 4,550 $25 tickets were sold.
Step-by-step explanation:
15 × 3550=53250
25 × 4550=113750
53250+113750=167000
If asphalt pavement costs $0.78 per square foot, determine, to
the nearest cent, the cost of paving the shaded circular road
with center o, an outside radius of 50 feet, and an inner
radius of 36 feet.
Answer:
2590.33
Step-by-step explanation:
...............
A bag contains exactly 50 coins. The coins are either worth 10 cents, 20 cents or 50 cents and there is Atleast one of each. The total value of the coins is $10. How many different ways can this occur?
Answer:
This can happen in two ways:
1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.
2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.
Step-by-step explanation:
Given that a bag contains exactly 50 coins, and the coins are either worth 10 cents, 20 cents or 50 cents and there is at least one of each, and the total value of the coins is $ 10, to determine how many different ways can this occur, the following calculation must be performed:
48 x 0.5 + 1 x 0.2 + 1 x 0.1 = 24.30
48 x 0.1 + 1 x 0.2 + 1 x 0.5 = 5.5
48 x 0.2 + 1 x 0.1 + 1 x 0.5 = 10.3
45 x 0.2 + 4 x 0.1 + 1 x 0.5 = 9.9
44 x 0.2 + 5 x 0.1 + 1 x 0.5 = 9.8
42 x 0.2 + 6 x 0.1 + 2 x 0.5 = 10
30 x 0.1 + 10 x 0.2 + 10 x 0.5 = 10
Therefore, this can happen in two ways:
1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.
2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.
The right triangle below illustrates a parking lot, with the right angle at the bottom right of the triangle. Find the length x. Show all your work
....You didn't attach nothing but if X is the thing I wrote below. Do A^2+B^2=C^2. Basically the left side squared plus the bottom side squared equals X squared. Then square root What the left side of the equation is.
| \
| \ X
| \
| \
----------------------
Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested S1000 less in a 18-month CD
that had a 2% simple interest return. If the total amount of interest from these investments was $945.00, determine how much was invested in each CD.
Answer:
Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Step-by-step explanation:
Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:
3.3 x 5 = 16.5
2 x 1.5 = 3
4000 x 0.165 + 3000 x 0.03 = 750
6000 x 0.165 + 5000 x 0.03 = 1140
5000 x 0.165 + 4000 x 0.03 = 945
Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
georgianne completed 60% of her homework assignment. write the portion of her homework that she still needs to complete as a fraction
HELPP PLEASE
Answer:
4/10 or 40/100
Step-by-step explanation:
it is 4/10 or 40/100 because 100 - 60 = 40
and 60% as a fraction is 6/10 or 60/100
so it is 40/100 or 4/10
hope this helped :)
Question 9(Multiple Choice Worth 5 points) (06.01 MCWhat is the value of the expression 2 + 32. (5 - 1)
Answer:
38
Step-by-step explanation:
2 + 3^2 (5 - 1)
PEMDAS says parentheses first
2 + 3^2 (4)
Then exponents
2 + 9 (4)
Then multiply
2+36
Then add
38
Answer:
38
Step-by-step explanation: