Answer:
Applying Boadmass
( 1-1/4)^-2
(3/4)^-2
(4/3)^2
(1.333) ^2
1.76
Step-by-step explanation:
A hardware store rents vacuum cleaners that customers may use for part of a day before returning. The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner. What is the flat fee that the store charges?.
The flat fee that the store charges for renting a vacuum cleaner can be found by substituting 0 into the equation f(x) = 6x + 14. Doing this yields f(0) = 14, meaning the store charges a flat fee of 14.
The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner. This equation can be used to calculate the total rental cost of the vacuum cleaner. The equation is solved by substituting the number of hours the vacuum cleaner is rented for, x, into the equation. The flat fee that the store charges can be found by setting x equal to 0 in the equation, f(x) = 6x + 14. When x is set to 0, the equation becomes f(0) = 6(0) + 14. Simplifying the equation yields f(0) = 14. This means that the flat fee the store charges is 14.
To summarise, the flat fee that the store charges for renting a vacuum cleaner can be found by substituting 0 into the equation f(x) = 6x + 14. Doing this yields f(0) = 14, meaning the store charges a flat fee of 14.
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A parabola opening up or down has vertex (0,0) and passed through (-4,1). Write its equation in vertex form. simplify any fractions
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0\hspace{5em}\textit{we also know that} \begin{cases} x=-4\\ y=1 \end{cases} \\\\\\ 1=a(-4-0)^2 + 0\implies 1=16a\implies \cfrac{1}{16}=a~\hfill \boxed{y=\cfrac{1}{16}x^2}[/tex]
What is the domain of the logarithmic function f/x log x?
The domain of the function [tex]f(x) =log x[/tex] is (0, ∞) which means the given function is defined for all the values greater than 0.
The domain of the function is the set of numbers for which the function is defined. It acts as input for the function and gives output known as range.The range of the function is the set of numbers of possible output values.It is derived from set of inputs known as domain.
Given function can also be written as [tex]y=log_{10}x[/tex]
⇒ [tex]10^{y}=x[/tex]
This means the domain of [tex]logx[/tex] is the set of all values that [tex]10^{y}[/tex] can be.Since 10 is a positive integer which means its power with any number will always be positive.Therefore domain of function [tex]logx[/tex] will always be positive.
∴ Domain of function = (0, ∞)
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Approximate the sum of the series correct to four decimal places. [infinity] (−1)^n /4^n n! n = 1
The sum of the infinite series is approximately 0.6740, calculated to four decimal places.
The sum of the series can be approximated by adding up the first few terms.
1/4 + (-1/16) + (1/384) + (-1/18432) + (1/798336)
= 0.673975
Therefore, the sum of the series is approximately 0.6740, calculated to four decimal places.
The sum of the infinite series can be approximated by adding up the first few terms. The series is of the form (−1)^n/4^n n! with n = 1,2,3,4,… The first term is 1/4, which is the sum when n=1. The second term is then (-1/16), which is the sum when n=2. This pattern continues, with the next terms being 1/384 and -1/18432, respectively. After adding up the first five terms, we get a sum of 0.673975. Therefore, the sum of the series is approximately 0.6740, calculated to four decimal places.
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An angle measures 106° less than the measure of its supplementary angle. What is the measure of each angle
Answer:
143 degrees, 37 degrees
Step-by-step explanation:
Let's say the angle is x and the supplementary angle is x-106:
x + (x-106) = 180 ==> supplementary angles add up to 180 degrees
x + x - 106 = 180
2x - 106 = 180
2x = 286 ==> isolate x by adding 106 to both sides
x = 143 ==> divide 2 on both sides
x-106=
143-106 = 37
Answer: 143 degrees, 37 degrees
Is t = 9 a solution to the inequality below? t ≤ 10 yes no
Answer:
Yes, t=9 is a solution to the inequality t ≤ 10. When t is equal to 9, the inequality is satisfied because 9 is less than or equal to 10.
Step-by-step explanation:
Answer:
I thing yes! because ≤ means less than or equal to, which 9 is less than 10.
Step-by-step explanation:
Hope it helps!
FOR EXAM! HELP
Determine if the two triangles are congruent. IF THEY ARE STATE HOW YOU KNOW!!!
According to the question, Triangles are said to be in SSS (Side-Side-Side) congruence if their third sides are the same length as the third sides of another triangle.
What are Congruent Triangles?One of the following conditions must be satisfied for two triangles to be considered congruent: There is equality between all three pairs of corresponding sides. Two matching side pairs have identical angles between them, as well as equal sides between them. The corresponding sides between two sets of corresponding angles and their two pairs are equal.
If both of a triangle's three sides and three angles are equal in any orientation, the two triangles are said to be congruent.
When all three corresponding sides are the same length and all three corresponding angles are the same size, two triangles are said to be congruent. Slides, rotations, flips, and turns can be used to make these triangles appear identical.
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x divided by 0.4 = 2 1/9 divided by 3 1/9
urgent!!
The value of x is 19/70.
According to the question,
x ÷ 0.4 = [tex]2\frac{1}{9}[/tex] ÷ [tex]3\frac{1}{9}[/tex]
x ÷ 0.4 = [tex]\frac{19}{9}[/tex] ÷ [tex]\frac{28}{9}[/tex]
[tex]\frac{x}{0.4}[/tex] = [tex]\frac{19}{9}[/tex] × [tex]\frac{9}{28}[/tex]
[tex]\frac{x}{0.4}[/tex] = [tex]\frac{19}{28}[/tex]
x = [tex]\frac{19}{28}[/tex] × 0.4
= [tex]\frac{19}{70}[/tex]
Hence, the value of x is 19/ 70.
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The complete question is:
If x divided by 0.4 = 2 1/9 divided by 3 1/9, What is the value of x ?
4.Reason Alyssa has a CD that holds 700 megabytes
of information. She has saved 53 pictures, each using
2.24 megabytes, to the CD. How much space is left
on the CD? Elementary school
Analyzing the provided total storage for the CD and amount of pictures stored in it, Using simple difference , The answer is 581.28 megabytes.
What do you mean by storage?Storage refers to the process of preserving data in a computer or other electronic device for later retrieval. This can include both short-term storage, such as in RAM, and long-term storage, such as on a hard drive or in the cloud. Data can be stored in various formats, including text, images, videos, and audio. Storage devices come in different forms including internal storage, external storage, removable storage, and cloud storage.
What do you mean by difference?The term "difference" in mathematics can refer to a few different concepts, depending on the context. In subtraction, the difference between two numbers is the result of subtracting one number from the other. For example, the difference between 8 and 3 is 8 - 3 = 5. In set theory, the difference between two sets is a new set that contains all the elements that are in the first set, but not in the second set. In geometry, the difference between two shapes is the area left over when one shape is subtracted from the other.
total = 700 MB
used by pictures = 53 * 2.24 = 118.72 MB
Space left = 700 - 118.72 = 581.28 MB
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Pretend your homeowners policy has a premium of $150, a deductible of $5,000, and a limit of $300,000. Your home suffers $170,000 in damages.
The homeowner is responsible for paying the first $5,000 of the damages, and the insurance company would cover the remaining $165,000 amount . The premium of $150 would remain the same, and the limit of $300,000 would not be affected.
You would be responsible for paying the first $5,000 of the damages, and the insurance company would cover the remaining $165,000. The premium of $150 would stay the same, and the limit of $300,000 would not be affected.
1. Determine the damages: The home suffers $170,000 in damages.
2. Determine the deductible: The deductible is $5,000.
3. Determine the limit of coverage: The limit of coverage is $300,000.
4. Calculate the amount of coverage: The insurance company would cover the remaining $165,000 (the difference between the damages and the deductible).
5. Determine the premium: The premium of $150 would stay the same.
The homeowner is responsible for paying the first $5,000 of the damages, and the insurance company would cover the remaining $165,000. The premium of $150 would remain the same, and the limit of $300,000 amount would not be affected.
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1. Here is a rectangle.
a. Explain why the area of the large rectangle is 2a+3a+4a Explain why the area of the large rectangle is (2+3+4) A
The area of the large rectangle shown in the image is (2 + 3 + 4)a unit square
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
Area is the amount of space occupied by a two dimensional shape or object.
The area of a rectangle is the product of its length and width. It is given by the equation:
Area of a rectangle = length * width
From the diagram:
Width = a; length = 2 + 3 + 4
Area = length * width
Substituting the terms into the equation:
Area = (2 + 3 + 4)a
Further simplification gives:
Area = 2a + 3a + 4a
The area of the rectangle is 2a + 3a + 4a
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A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. Is the student correct? why, or why not?.
The student is not correct when he forms a triangle with side lengths 3 ,5 ,9 inches.
A triangle contains of 3 sides and 3 angles
The Triangle Inequality Theorem, which asserts that the total of any two sides must be greater than the third side, must be followed in order to determine whether a collection of integers is a legitimate measure of a triangle's sides.
as per the details stated above
Let a is 3 inches , b is 5 inches c is 9 inches
According to the triangle Inequality theorem
a + b > c
that is 8>9
which is incorrect
a + c > b
that is 12 > 5
which is correct
b + c > a
14 > 3
which is correct
as the theorem it does not satisfy one case so we can say that it will form a triangle
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No, the student is not correct. To form a triangle, all three sides must follow the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the length of the third side. In this case, 3 + 5 is not greater than 9, making it impossible to form a triangle.
No, the student is not correct. To form a triangle, all three sides must follow the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the length of the third side. In this case, 3 + 5 is not greater than 9, making it impossible to form a triangle. This theorem is based on the idea that the longer side of a triangle must always be opposite the largest angle. Therefore, the longest side of the triangle must be less than the sum of the other two sides. Essentially, this means that in order for a triangle to be formed with side lengths of 3 in, 5 in, and 9 in as the student suggests, the longest side must be less than 8 in, which is not possible. Therefore, the student is incorrect, and it is impossible to form a triangle with the side lengths they have provided.
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Find the value of z in the triangle shown below.
T
sdfasdfasdfAnswer:a
Step-by-step explanation:
asdfasdfsdfsdf
Answer:
x = 49
Step-by-step explanation:
180 - 112 = 68
68 - 19 = 49
x = 49
Have a good day!
Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not meet the basic business requirements for the job. 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those applicants fail the backround investigation. How many applicants need to apply in order to meet the hiring target?
Multiply choice
O 30
O 45
O 50
O 52
O 60
The applicants that would have to apply in order to meet the target is 52. Option 4 is correct.
How to solve for the applicantsWe have to define x as the applications to meet target
The number of persons to hire is 30
10 percent do not meet requirements. Hence 90 meets the requirements. 90% of x
= 0.9X
12% fail the pre screening stage. Hence 88% have passed it. This would be 88% of 0.9x. = 0.792x
23% Did not come for the interview, hence 77% showed up. This would be 0.77*0.792x = 0.60984x
then 5% are said to have failed the background test. This means that 95% passed the test.
0.95 * 0.60984x = 0.579348X
We have to equate this to 30 in order to get the value of x
0.579348X = 30
divide through by 0.579348
X = 30 / 0.579348
X = 51.78
X ~ 52
The number of applicants is 52
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Pythagorean Theorem
Pythagorean Theorem: a² + b² = ²
Directions: Solve for x. Round to the nearest tenth.
12
X
10
Help me I suck at math
Answer:
[tex] {12}^{2} - {10}^{2} = 44 \\ \sqrt{44} = 2 \sqrt{11} [/tex]
If you have problems in mathematics you can text me if you want
carl earn 25 dollars per week mowing lawns in his neighborhood. Which expression can be used to show how much money he earn in 6 weeks
Answer:
(6 x 20) (6 x 5)
Step-by-step explanation:
We know
Earning per week $25
Earning 8 weeks
25 x 8 = ( 20 + 5) 8 = 20 x 8 + 5 x 8
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if x represents time and there is no end time, the domain will always be???
Answer:
Below
Step-by-step explanation:
0 ≤ t ≤ + ∞
4. A pet shop had 300 canaries. This number decreased 83 1/3% due to sales how many canaries were sold?
can someone also show the work please help a girl out worth 30 points
Answer: 250
Step-by-step explanation: 83 and 1/3 is equal to 0.833 in decimals, and you just need to multiply 300 by 0.833 and you get 249.9, which is rounded to 250
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The equation y=48x+40y=48x+40 represents what Health Club A charges. Health Club B charges a $35 sign-up fee and $36 per month.
Use the dropdown menu and answer-blank below to form a true statement.
Health club B cost $17 more in monthly membership than health club A.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
y = 48x + 40
Write the equation for the charges of club B as shown below,
y = 36x + 35
Calculate the charge for one month for both clubs,
Charges for club A = 48 × 1 + 40
Charges for club A = 88
Charges for club B = 36 × 1 + 35
Charges for club B = 36 + 35
Charges for club B =71
Thus, the charge of club B is $17 more than club A.
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Pls help (geometry math)
Answer:
5y-31=29
y=12
7x-17=39
x=7
PR=2×(6x-2y)=18
PT=9
If you are paid $1,750 biweekly and social security is 6.2% of your income, then determine the amount of your social security deduction in each pay period. a. $108.50 b. $100.32 c. $110.25 d. $105.80
If you are paid biweekly a total of $108.50 is deducted, thus leaving with a total of $1,569.50
Biweekly pay means you are paid once every two weeks, resulting in 26 paychecks per year.
According to the question,
The total amount we are paid = $1750
The social security tax = 6.2%
So, the deduction will be = 6.2% of$1750 = 0.062 * 1750
The deduction amount = $108.50
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Use algebra to identify the inverse of the function
[tex]f^{-1}{x} = \sqrt{(x+4)} + 1[/tex], is the inverse function of f(x) = (x-1)² - 4
What is an inverse of a function?
In mathematics, an inverse function is a function that undoes the effects of another function. Given a function f(x), the inverse function of f(x) is denoted as f^-1(x) or as f^1(x). The inverse function f^-1(x) satisfies the condition that f(f^-1(x)) = x and f^-1(f(x)) = x for all x in the domain of the function.
To find the inverse of a function, one common way is to algebraically manipulate the function and the relationship between the function and its inverse.
To identify the inverse of the function f(x)=(x-1)^2-4, we can start by swapping x and y in the original function:
y = (x-1)^2-4
Then we need to solve for x:
x = (y+4)^0.5 + 1
To check that this is indeed the inverse function, you can substitute x = (y+4)^0.5 + 1 into f(x) and check that you get back y:
f((y+4)^0.5 + 1) = (((y+4)^0.5 + 1)-1)^2-4 = y
Hence, [tex]f^{-1}{x} = \sqrt{(x+4)} + 1[/tex], is the inverse function of f(x) = (x-1)² - 4.
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Determine the range of the function g of x is equal to negative square root of the quantity x squared plus 4 end quantity.
The range of the function g(x) = √-(x2 + 4) is |x| ≥ 2
Range of the function g of x is equal to negative square root of the quantity x squared plus 4.
The range of the function g(x) = √-(x2 + 4) can be determined by solving the inequality g(x) ≤ 0.
To solve the inequality, we need to first simplify the expression by squaring both sides:
(√-(x2 + 4))2 ≤ 0
-x2 - 4 ≤ 0
-x2 ≤ 4
x2 ≥ -4
Now, we can take the square root of both sides to get the final expression:
|x| ≥ √-4
|x| ≥ 2
Therefore, the range of the function g(x) = √-(x2 + 4) is |x| ≥ 2.
We can also express this range in interval notation as [2, ∞).
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The range of given function is (-∞ ,-2] . Range is calculated using the concept of Maximum and minimum value of the function.here maximum value is -2 and minimum value is –∞.
In this question, we have asked about a range of an function so let's try to understand what is range of an function.
The set of numbers that a function can produce is known as its range. With all potential x-values plugged into the function, it is the set of y-values that results. The domain is the set of feasible x-values. If you're interested in learning how to determine a function's range.
The collection of each function's results.
You say:
range, function, and domain
Example: The range is 1,4,9,... when the function f(x) = x^2 is given the values x = 1,2,3,...
Given function in this question is f(x) = [tex]-\sqrt{x^2+4}[/tex] .
This is a negative sqaure root function . here let's try to understand properties of square root function.
The square root symbol √ is used in the square root function (which is read as "square root of"). A integer "y" such that y^2 = x is said to be a number "x's square root.
For calculating range we have to find what is the minimum value of function and what is the maximum value of function.
we know sqaure root function always gives positive value.
negative square root function will give negative value.
Minimum value is –∞.
For maximum value x = 0 f(x) = [tex]-\sqrt{4}[/tex] = -2
So the range of given function is (-∞ ,-2].
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Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 cm. The base of the triangular cloth is 214cm. The remaining two sides are the same length.
Choose Yes or No to tell if each expression models how to find the length of the other two sides of Evan’s cloth.
934−2s=214
Choose...
114+2s=934
Choose...
2s=934−214
Choose...
2s−214=934
Choose...
Answer:
934−2s=214 and 2s=934−214
Step-by-step explanation:
To represent this situation, we need all three sides to add up to 934, which is the perimeter of the triangle. So we have:
[tex]214+2s=934[/tex]
Where s are the two remaining sides.
The first and third choice resembles this exact equation, but rearranged:
First equation:
[tex]934-2s=214\\934=214+2s[/tex]
Third equation:
[tex]2s=934-214\\214+2s=934[/tex]
The other two choices either have different operations or different values.
Evaluate the function when x=−2, 0, and 5. n(x) = −1 − x + 4
Step-by-step explanation:
at x=-2
n(-2) = −1 − (-2) + 4 = -1+2+4=5
at x=0
n(0) = −1 − 0 + 4 = 3
at x=5
n(5) = −1 − 5 + 4 = -2
if diagram d depicts the orbital occupancy of the cobalt ion in [cof6]n, what is the value of n?
The value that shows the occupancy for the cobalt ion is -1. Option B
What is the occupancy?We know that the electrons can be found in the orbitals that are contained in the atom. The d orbital diagram is the image that shows the occupancies of the d orbital of the atom. This is the number of the electrons that can be found in a particular orbital.
Let us note that the elements that have a d level that is not completely occupied as said to be the transition elements. As such the transition elements are the elements that have d orbitals that are incompletely filled.
We have a transition metal complex here and the number or the magnitude of the charge that is carried by the complex is what has been designated as n in the image that has been attached here.
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A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distance around should be no more than 380ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions
The system of inequality that models the fencing of the garden as desired by the local citizen is
x ≥ 110 feet 2(x + y) ≤ 380 feetthe graph is attached
How to write inequality equationThe inequality equation is written by deucing some information given in the problem
The length of the garden should be at least 110ft
length, x ≥ 110 feet
the distance around should be no more than 380ft
the distance around is the perimeter, P ≤ 380 ft
let the width be y
P = 2(L + w)
2(x + y) ≤ 380
the required equations is are x ≥ 110 feet and 2(x + y) ≤ 380
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7.1.4 Journal - Arithmetic Sequences PLEASE HELP (if you have the full assignment please give me the answers)
7. Using the explicit formula (an = 1 + (n-1) 0,5 , calculate how far the students will be swimming on week 10 using Denise's schedule. (3 points) Making a Decision 8. Which training schedule will get them ready to swim 5 km in time for the half-marathon? (1 point)
Using Denise's schedule and he explicit formula (an = 1 + (n-1) 0,5) . At 10 weeks, the distance the students will swim is 5.5 km
The training schedule will get them ready to swim 5 km in time for the half-marathon is Denise's schedule
How to find the distance the student will swim in 10 weeksThe formula given for the calculation of how far the students will swim is an = 1 + (n-1) 0,5
where:
n = 10
substituting and solving gives
an = 1 + (n - 1) 0.5
an = 1 + (10 - 1) * 0.5
an = 1 + 9 * 0.5
an = 5.5 km
Ernest's schedule is given by the expression: an = 1 + (n - 1) 0.25. In 10 weeks the students will swim
an = 1 + (10 - 1) 0.25 = 3.25 km still less than 5 km
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What is pie graph and example?
Answer: circular charts divided up into segments which each represent a value
Step-by-step explanation:
a point (x, y) on the graph of a function at which the derivative is either 0 or undefined
Answer:
Critical point
Step-by-step explanation: A critical point of a function y = f (x) is a point (c, f (c)) on the graph of f (x) at which either the derivative is 0 (or) the derivative is not defined. But how is a critical point related to the derivative? We know that the slope of a tangent line of y = f (x) at a point is nothing but the derivative f' (x) at that point.