Answer:
x - 2 ≥ 0
Step-by-step explanation:
The expression under the square root cannot be negative, thus
x - 2 ≥ 0 , that is
x ≥ 2
An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
the $1,000,000 investment? Include your calculations in your final answer. Please help me pleaseee
Answer:
$800,500 (nearest dollar)
Step-by-step explanation:
The given scenario can be modeled as an exponential equation.
General form of an exponential function:
\(f(x)=ab^x\)
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
The initial value (a) is the value of the investment.
Therefore, a = 1,000,000.
If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.
Therefore, b = 97.8% = 0.978.
Substitute these values into the formula to create a general equation for the scenario:
\(f(x)=1000000(0.978)^x\)
(where x is the time, in years).
To find the value of the investment after 10 years, substitute x = 10 into the formula:
\(\implies f(10)=1000000(0.978)^{10}=800500.1586\)
Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).
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Two sides of a triangle measure 5 inches and 6 inches. Jason says the triangle must be scalene. Is Jason correct? Explain.
evaluate the following using distributive property
(-15/4 x 3/7 + -7/5 + (-15/4 x -12/5)
Answer:
5.99285714286
Step-by-step explanation:
5.99285714286
A number n is less than or equal to -7 or greater than 12.
Inequality: [ ] or [ ]
Graph the inequality.
Answer:
N ≤ -7 N > 12
Step-by-step explanation:
The inequality for the given statement is n≤-7 or n>12.
The given statement is a number n is less than or equal to -7 or greater than 12.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.
Now the inequality for the given statement is n≤-7 or n>12.
Graph for the obtained inequality is plotted, given below.
Therefore, the inequality for the given statement is n≤-7 or n>12.
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What is the solution of the system of equations graphed below? y=1/2x+4 and y=-2x-3
Step-by-step explanation:
y=1/2x+4 y=_2x_3
y=y
1/2x+4= _2x_3
2x+2x=_3+4
4x=1
x=1/4
T/F: a dss can do a follow-up assessment on how well a solution is performing.
True, a decision support system (DSS) can conduct a follow-up assessment on how well a solution is performing. This is because a DSS is designed to analyze and evaluate data, as well as provide ongoing feedback on the effectiveness of decisions made using the system.
By monitoring key performance indicators and other metrics, a DSS can provide valuable insights into the success of a particular solution or course of action, allowing users to make more informed decisions going forward.
True: A Decision Support System (DSS) can do a follow-up assessment on how well a solution is performing. This allows for continuous improvement and optimization of the implemented solution based on the collected data and feedback.
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i need help with one problem
Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading? (SHOW YOUR WORK PLEASE!! I WILL GIVE BRAINLIEST TO BEST ANSWER WITH EXPLANATION BUT I NEED 2 PEOPLE TO ANSWER TO DO THIS)
Answer:
1 hour and 43 minutes or 103 minutes
Step-by-step explanation:
There are 60 minutes in an hour, so from 10 am to 11 am is 60 minutes. The additional 43 minutes need to be combined with the 60 minutes, which will give you 103 minutes.
Answer:
1 hour and 43 minutes
Step-by-step explanation:
10:00am+ 1 hour = 11:00 am
11:00 am + 43 minutes = 11:43
Hope this helped!! :3
Why do you have to pay to get an answer
Answer:
You dont have to
Step-by-step explanation:
Constantly refresh the page or just answer question or ads
The temperature is Quebec is-7 describe what must happen for the temperature to reach 0
Answer:
The temperature needs to increase by 7.
Step-by-step explanation:
-7 + 7 = 0
hope this helps! <3
In a hostel, 50 students have food enough for 54 days. How many students should be added in the hostel so that the food is enough for only 45 days ?
We need to add 10 students to the hostel so that the food is enough for only 45 days.
How many students should be added in the hostel so that the food is enough for only 45 days? Let's assume that "x" students need to be added to the hostel so that the food is enough for only 45 days.
We know that the total amount of food available is fixed, so the product of the number of students and the number of days that the food will last must also be fixed.
We can use this fact to set up an equation:
50 × 54 = (50 + x) × 45
To solve for x, we can simplify and solve for x:
Expand using FOIL method
50 × 54 = (50 + x)45
50 × 54 = 45 × 50 + 45 × x
2700 = 2250 + 45x
450 = 45x
x = 10
Therefore, number of students to be added is 10.
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How do I prove ABCD to be a rectangle
Answer:
steps below
Step-by-step explanation:
AB = DC, AE=DE, ∠BAE = ∠CDE = 90°
ΔBAE ≅ ΔCDE (SAS)
BE = CE .. corresponding sides of congruent triangles
∠EBC = ∠ECB ... base angles of isosceles triangle
∠ABC = ∠ABE + ∠EBC = ∠DCE + ∠ECB = ∠DCB
∠ABC + ∠DCB = 360° - ∠CDE - ∠BAE = 360° - 180° = 180°
∠ABC = ∠ DCB = 1/2 * 180° = 90°
∴ ABCD is rectangle
A gift shop uses two sizes of boxes for presents. These boxes have exactly the same shape. The smaller box is 16cm long, and the larger box is 18cm long. If 1472cm2 of wrapping paper is needed to cover the smaller box, how much wrapping paper is needed to cover the larger
If 1472cm² of wrapping paper is needed to cover the smaller box, approximately 1672cm² of wrapping paper is needed to cover the larger box (assuming the surface area is directly proportional to the length).
Since the smaller and larger boxes have exactly the same shape, we can assume that their dimensions are proportional.
Let's denote the width and height of the smaller box as "w" and "h," respectively, and the width and height of the larger box as "W" and "H," respectively.
We know that the length of the smaller box is 16 cm, so we have:
Length of smaller box = 16 cm
Width of smaller box = w
Height of smaller box = h
To find the dimensions of the larger box, we can set up a proportion based on the lengths of the boxes:
16 cm / 18 cm = w / W
From this proportion, we can solve for W:
\(W = (18 cm \times w) / 16 cm\)
Now, let's consider the surface area of the boxes.
The surface area of a box is given by the sum of the areas of its six faces. Since the boxes have the same shape, the ratio of their surface areas will be equal to the square of the ratio of their lengths:
Surface area of smaller box / Surface area of larger box = (16 cm / 18 cm)^2.
We know that the surface area of the smaller box is 1472 cm^2, so we can set up the equation:
\(1472 cm^2\) / Surface area of larger box \(= (16 cm / 18 cm)^2\)
To find the surface area of the larger box, we rearrange the equation:
\(Surface $area of larger box = 1472 cm^2 / [(16 cm / 18 cm)^2]\)
Now we can substitute the value of W into the equation to find the surface area of the larger box:
Surface area of larger box \(= 1472 cm^2 / [(16 cm / 18 cm)^2] = 1472 cm^2 / [(18 cm \times w / 16 cm)^2]\)
\(= 1472 cm^2 / [(18 \times w / 16)^2] = 1472 cm^2 / [(9w / 8)^2]\)
\(= 1472 cm^2 / [(81w^2 / 64)]\)
Simplifying further:
Surface area of larger box \(= (1472 cm^2 \times 64) / (81w^2)\)
So the amount of wrapping paper needed to cover the larger box is given by the surface area of the larger box, which is:
\((1472 cm^2 \times 64) / (81w^2)\)
Note that we don't have enough information to calculate the exact value of the wrapping paper needed to cover the larger box since we don't know the width "w" of the smaller box.
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in a study of white-collar workers, velma found that there was a positive correlation between self-reported alcohol and drug use and sick days taken. a graph of her results would show a:
The difference between a blue-collar worker and a white-collar worker is Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.Thus the correct option is D.
What is a white-collar worker?White collar employees refer to individuals who work as a salaried employees in a professional workspace. They work on the managerial profile or executive profiles also clerical positions. This type of worker has a particular office setting in which they perform their task.
here, we have,
Blue collar employees refer to an individual who does not work on salaries instead they receive daily wages on the basis of the number of hours they spent. These refer to laborers or workers who do not have any qualifications or skills to perform the task.
Therefore, option D is appropriate.
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Which is a unit rate?
INS
80 miles in 4 hours
50 miles on 3 gallons
25 miles per 1 gallon
40 miles per 0 hours
Answer:
my answer for this question is 195
Step-by-step explanation:
cindy baught 1/4 amount of ribbon and jacob baught 7/8 amount of ribbon how much ribbon does jacob have
Answer:
0.875
Step-by-step explanation:
Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Superscript 42 Baseline EndFraction Negative 7 r Superscript 6 StartFraction 1 Over r EndFraction.
Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,
\(\dfrac{1}{(r)^{42}} \)
The option B is the correct option.
Given information-
The given expression in the problem is,
\([(r)^{-7}]^5\)
Power rule of exponentsPower rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.
Suppose x is a number with power a. The power is power of the power of number x. Then by the power rule of the exponents,
\((x^a)^b=x^{ab}\)
Using the power rule of the exponents given expression can be written as,
\([(r)^{-7}]^6=(r)^{-7\times 6} \)
\([(r)^{-7}]^6=(r)^{-42}\)
Negative exponents ruleNegative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,
\([(r)^{-7}]^6=\dfrac{1}{(r)^{42}} \)
Hence the expression which is equal to the given expression is,
\(\dfrac{1}{(r)^{42}} \)
The option B is the correct option.
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Are these lines perpendicular?
yes
no
Answer: yes these lines are
Answer:
yes
Step-by-step explanation:
Perpendicular lines intersect eachother
Select the law to apply to have the following equivalence: (¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r o Associative law o Idempotent laws o De Morgan law o Distributive law
The distributive law is the law to apply to have the following equivalence:
(¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r.
Hence, the correct option is (D) Distributive law.
What is Distributive Law?
The distributive property is the most commonly used property of the number system.
Distributive law is the one which explains how two operations work when performed together on a set of numbers. This law tells us how to multiply an addition of two or more numbers.
Here the two operations are addition and multiplication. The distributive law can be applied to any two operations as long as one is distributive over the other.
This means that the distributive law holds for the arithmetic operations of addition and multiplication over any set.
For example, the distributive law of multiplication over addition is expressed as a(b+c)=ab+ac,
where a, b, and c are numbers.
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Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.
Answer:
dependent & changes by a constant rate
Step-by-step explanation:
dependent because it involves something that involves something else
Find the measurement of x
Answer:59
Step-by-step explanation: because a triangle equals 180* and 83+38 = 121 so the x would equal 59
Frances read 4/5
of an artlcle In three minutes. How much of the article did she read each minute?
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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A sample of scores has mean of M 26, median of 28, and a mode of 29 What is the most Iikely shape for the sample distribution? a. Symmetrical b. positively skewed c. negatively skewed d. cannot be determined from the information given
The most likely mean for the sample distribution is option c. negatively skewed.
Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.
The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.
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1/3 of 7 as a fraction
Calculate the amount of heat (in kJ) released when 3.5 mol CH4 react. 4() + 22() → 2() + 22() + 890
The amount of heat (in KJ) released when 3.5 moles of CH₄ react is 3115 KJ
Balanced equationCH₄ + 2O₂ -> CO₂ + 2H₂O ΔH = 890 KJ
From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy.
How to determine the heat energy released by 3.5 moles of CH₄From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy
Therefore,
3.5 moles of CH₄ will react ro release = 3.5 × 890 = 3115 KJ of heat energy
Thus, 3115 KJ of heat energy were released from the reaction
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Translate and simplify if needed :Three less than a number increased by twice the same number
Answer:
x^2-3
Step-by-step explanation:
Factor the numerator and the denominator of each rational function to determine the locations of any holes or vertical asymptotes. Drag each tile to the correct location. Each tile can be used more than once, but not all tiles will be used.
The location of the vertical asymptote is x = -5, and there is no hole in the function.
What is hole in rational function?A hole on a graph of a rational function is a place where the function is undefinable but may be made continuous by eliminating shared elements in the numerator and denominator. To put it another way, a hole happens when a rational function's numerator and denominator share a component that can be eliminated, yielding a simpler function with no discontinuity at that point.
The given factor is x - 1 / x² + 4x - 5.
Factoring the denominator we have:
x² + 4x - 5 = (x - 1)(x + 5)
The function can be written as:
f(x) = (x - 1) / [(x - 1)(x + 5)]
f(x) = 1 / (x + 5)
The vertical asymptote is at the point x = -5.
There is no hole in the function.
Hence, the location of the vertical asymptote is x = -5, and there is no hole in the function.
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consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?
The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is
||A - A1||₂=0 where A is 2×2 matrix.
We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]
note here that C₂= 3C₁
where Cᵢ --> iᵗʰ column
v = [ 5 ; 6 ; -1 ; -4 ; 2]
||v||² = 82 => ||v|| = √82
and A At v = 820 v
and A At = [ 82 246 ; 246 738]
AAt [1;3] = 820[1;3]
=> v1 = 1/√10(1,3)^t
Then the best rank of 1 approx
= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]
= A
Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0
Hence, the minimal Approx. ||A - A1||2 = 0 .
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Complete question:
Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?
I need help fast!!!! Can’t figure these out at all!
Answer: GH = 12
Step-by-step explanation:
Don't panic! Remember that a perpendicular bisector divides a segment equally in half. (If you're writing a proof, cite the "Definition of a perpendicular bisector)
It breaks down to: GH = HI
HI = 12
By the transitive property of segment congruence: GH = 12
Good luck!
Answer:
im sorry but i really cant see the image
Step-by-step explanation: