The raise amount if the performance of the employee is adequate, would be $ 0. 53
How to find the raise amount ?To find the raise amount when the performance by an employee for the period is adequate, the formula is:
= Current pay per hour x Raise percentage for adequate work
Current pay per hour = $ 10. 60 per hour
Raise percentage for adequate work = 5 %
The raise amount is therefore :
= 10. 60 x 5 %
= 10. 60 x 0. 05
= $ 0. 53
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ay, i just want to have a conversation
Answer:
hey
Step-by-step explanation:
Jaime invested $3500 in an account with a 2.4% annual interest rate. She made no deposits or withdrawals on
the account for 3 years. If interest was compounded annually, create an equation that represents the balance in
the account after the 3 years.
Answer:
252 dollars
Step-by-step explanation:
so $3,500 * 2.4% is $84 * 3 gives you $252
30 POINTS AND BRANLIEST
Mahek owns a holiday tree farm. There are currently 800 trees on the property. Each year 20% of the trees are harvested and sold, and 200 seedlings are planted. Write a recursive definition for the number of trees on the farm at the beginning of the nth year.
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
The correct option is A.
What is a sequence?An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).
Given:
Mahek owns a holiday tree farm.
There are currently 800 trees on the property.
Each year, 20% of the trees are harvested and sold,
and 200 seedlings are planted.
a₁ = 800
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
Hence, aₙ = 0.20aₙ₋₁ + 200
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malia kept a weather journal for september. the sun was shining on 4 out of every 5 days. on what percent of the days was the sun not shining?
Answer:
4:5
Step-by-step explanation:
Answer:
80% shining
20% not shining
Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training pian asidious
• Andrew will start off by lifting 50 pounds and will increase the weight he fifts by 10% each week
Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week
Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function. So, correct option is c) .
Describe Linear Function?A linear function is a mathematical function that maps a set of inputs to a set of outputs in such a way that the output is proportional to the input. In other words, if the input changes by a certain amount, the output changes by a constant factor.
The equation of a linear function has the form:
y = mx + b
where x is the input variable, y is the output variable, m is the slope of the line, and b is the y-intercept. The slope represents how much the output changes for each unit change in the input, and the y-intercept represents the output value when the input is zero.
Linear functions are represented by straight lines on a graph. If you plot the input and output values for a linear function on a graph, the resulting points will form a straight line. The slope of the line represents the rate of change of the output with respect to the input, and the y-intercept represents the initial value of the output.
In Andrew's training plan, the weight he lifts is increasing by a constant percentage each week, which is characteristic of exponential growth. In Sebastian's training plan, the weight he lifts is increasing by a constant amount each week, which is characteristic of linear growth.
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The complete question is:
Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:
Andrew will start off by lifting 50 pounds and will increase the weight he lifts by 10% each week.Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each weekWhich of the following statements are true?
a) Andrew and Sebastian both increase the weight they lift each week by the same amount.
b) Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.
c) Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function.
d) Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences
e) Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors.
There are 26 letters in the English alphabet. Based on Section 2.2, there should be 226 possible subsets. (a) Is every possible subset a valid word? Explain or give an example. (b) On Sesame Street, Big Bird found the longest "word" ever seen. What was that word? (c) Explain why "ALONG" is a valid subset but "GALLON" is not a valid subset.
Not every possible subset is a valid word. The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet. "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word.
(a) No, not every possible subset is a valid word. For example, the subset "zxy" is not a valid English word.
(b) The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet.
(c) "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word. However, "GALLON" is not a valid subset because it is not a recognized word in the English language. This is because the letters are not arranged in the correct order, and there is no recognized word in the English language with this arrangement of letters.
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Use superposition to find vo in the given circuit where i1 = 6 a and i2 = 4 a
the voltage across the circuit ([tex]V_{0}[/tex]) is 80 volts.
In the superposition theorem, the voltage across any element in a linear circuit is equal to the sum of the voltages caused by each source acting independently. In other words, in a linear circuit, each source is treated as the only source, and the other sources are replaced with their internal resistances.
With the resistance value of 8 ohms, we can calculate the voltage across the circuit using the superposition theorem.
First, consider [tex]I_{1}[/tex] as the only source, and set [tex]I_{2} = 0 A[/tex]. The voltage across the circuit can be found using Ohm's law (V = IR), where R is the resistance in the circuit.
[tex]V_{1} = i1 * R = 6 A * 8 ohms = 48 V[/tex]
Next, consider [tex]I_{2}[/tex] as the only source, and set [tex]I_{1} = 0 A[/tex]. The voltage across the circuit can be found using Ohm's law (V = IR), where R is the resistance in the circuit.
[tex]V_{2} = i2 * R = 4 A * 8 ohms = 32 V[/tex]
Finally, the voltage across the circuit ([tex]V_{0}[/tex]) is the sum of the voltages found in steps 1 and 2.
[tex]V_{0} = V_{1} + V_{2} = 48 V + 32 V = 80 V[/tex]
So, the voltage across the circuit ([tex]V_{0}[/tex]) is 80 volts.
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[tex]\frac{x}{6} x 3\frac{1}{2}[/tex]
Assuming,
Question: what is the simplest form of the expression [(X/6) + X³] * (1/2) ?
Solution:-
The simplest form of the expression [(X/6) + X³] * (1/2) is,
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression,
[(X/6) + X³] * (1/2)
To simplify the expression [(X/6) + X³] * (1/2),
we can first simplify the two expressions in the parentheses:
(X/6) + X³ = X/6 + X³
(1/2) * (X/6 + X³) = X/12 + X³/2
So the simplified form of the expression [(X/6) + X³] * (1/2) is X/12 + X³/2.
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I WILL GIVE BRAINLEST
Could you please help me with 17, 18, and 19 please
Answer:
17
a. 5^4 = 625
b. 3^4 = 81
18
a. log base 10000 , 10 = -4
b. log base 2, 1/2 = -1
19. Inverse represent opposite functions, when you plug one into the other using variables, the result should be x.
Step-by-step explanation: Remember that when converting, use the base of the log function as the base of exponent. The answer to the log function represents the value of the exponent. Hope this helps!
During a winter storm, Lance measured these outside temperatures for each of four days.
Day One: −20°F
Day Two: −22°F
Day Three: −5°F
Day Four: +23°F
Which day had the coldest temperature?
One
Two
Three
Four
Answer:
Step-by-step explanation:
when does this come into play? what year??
furniture builder pays $100 for the materials necessary to build one porch swing. A store sells the swing for $250. What is the ratio of the cost in dollars of the materials to the sale price in dollars?
The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1
The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.
To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -
$100 ÷ $250 = 0.4
So, the ratio of the cost of the materials to the sale price is 0.4:1.
This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.
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Solve the equations for x
AX+5=CX
X=…… if a does not equal to c
The x-value of the intersection point of the lines is ( d - b)/(a-c).
Intersection of lines
Given the equation of a line communicated as;
y = ax +b and;
y = cx + d.
Comparing the two lines, we will have:
ax + b = cx + d
Make x the subject of the method:
ax - cx = d = b
x (a-c) = d - b
x = ( d - b)/(a-c)
Thus the x-worth of the intersection point of the lines is ( d - b)/(a-c)
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four more than three times a number is eight less than that number
Answer:
3(x)+4-8
find x.
Step-by-step explanation:
THE ANSWER IS NOT 30.09 or 2.17. PLEASE HURRY ND PLEASE HELP ME!
A plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. Later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft.
How far has the plane flown?
Answer:
In feet: [tex]\boxed{158,892 \textrm{ feet}}[/tex]
In miles: [tex]\boxed{\textrm{ 3.11 \;miles}}[/tex]
Step-by-step explanation:
A diagram really helps here and so I have drawn one for your understanding
From the diagram we see that Point A refers to the location of the plane when it is 50 miles away from the airport at am altitude of 30,500 feet
In a 2D coordinate system where x refers to the horizontal distance from the airport value and y refers to the altitude,
=> Point A has coordinates (50, 30500)
When the plane is 20 miles away from the airport, the altitude has dropped down to 18000 feet
This location is represented as point B(20, 18000)
The horizontal distance traveled by the plane is 50 - 20 = 30 miles
The vertical distance traveled by the plane(drop in altitude) is 30,500 - 18,000 = 12, 500
These two form the legs of a right triangle with the actual path of descent as the hypotenuse of the right triangle (see figure)
The distance c traveled by the plane is the distance from Point A to Point B which can be computed using the Pythagorean theorem given the two legs of the right triangle
The general formula is :
[tex]\mbox{\large c = \sqrt{a^{2} + b^{2}}}[/tex]
where c is the length of the hypotenuse, a and b are the lengths of the other two sides
We have a = 12, 500 feet and b = 30 miles
Convert miles to feet to get same units:
a = 12, 500 feet
b = 30 miles = 30 x 5280 feet = 158400
[tex]\mathbox{ c = \sqrt{158400^{2} + 12500^{2}}}[/tex]
[tex]c = \sqrt{25090560000 + 156250000}[/tex]
[tex]c = \sqrt{25246810000}[/tex]
[tex]\mathrm{c = 158,892.45 \;feet}\\[/tex]
[tex]\mathbox{ \textrm{c = 158,892 feet (to the nearest foot)}}[/tex]
So the distance traveled by the plane is 158, 992 feet (to the nearest foot)
This works out to 158992/5280 miles = 30.11 miles which is pretty close to 3.09
Maybe you are required to answer in feet and not in miles.
I don't know
an without replacement, what is the probability that the first 2 selected are white and the last 2 black?
There is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
If there are W white balls and B black balls in a bag, and you are drawing 4 balls without replacement, the probability that the first 2 selected are white and the last 2 black can be calculated as follows:
[tex]P(WWBB) = (W/ (W + B)) * ((W-1) / (W + B - 1)) * (B / (W + B - 2)) * ((B-1) / (W + B - 3))[/tex]
So, for example, if there are 10 white balls and 20 black balls, then the probability of getting the first 2 white and the last 2 black is:
[tex]P(WWBB) = (10 / 30) * (9 / 29) * (20 / 28) * (19 / 27) = 0.0099[/tex]
This means that there is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
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ANSWER NOW IS DUEEEE. AND GIVE THE CORRECT ANSWER
The exposure time when x = 560 is: 13.66 hour
What is quadratic model?A method of simulating the relationship between two sets of variables is quadratic regression. The outcome is a regression equation that may be applied to the data to generate predictions. The formula for the equation is: y = ax² + bx + c, where a ≠ 0. Situations that may be approximated by quadratic functions include tossing a ball, firing a cannon, jumping from a platform, and striking a golf ball. Researchers may find the quadratic model to be a useful tool for data analysis in identifying the combined impact of success objectives on academic accomplishment. We anticipate that future studies on the impact of academic performance objectives will frequently use the quadratic model to analyse their data.
Given that,
T = 0.0002x² - 316x + 127.9
exposure time = T
Now, calculate exposure time when x = 560
So, T = 0.0002x² - 0.316x + 127.9
T = 0.0002×(560)² - 0.316 × (560) + 127.9
T = 62.72 - 176.96 + 127.9
T = 13.66 hour
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Could some one please tell me the explanation and answer to this section I will give 20 points
The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5
How to evaluate the expressionsFrom the question, we have the following visible expressions that can be used in our computation:
√(81/49) and (2/5)²
Solving (a), we have
√(81/49)
Take the square roots
This gives
√(81/49) = 9/7
The expression cannot be further evaluated
Solving (b), we have
(2/5)²
Evaluate the exponents
This gives
(2/5)² = 4/5
The expression cannot be further evaluated
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5846 dividido en 60 pado a paso
Answer:
97 R=26
Step-by-step explanation:
the relative approximate error at the end of an iteration to find the root of an equation is 0.004% . the least number of significant digits we can trust in the solution is
The least number of significant digits we can trust in the solution is 2.
The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.
In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.
As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.
In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be
three - 1 = 2 significant digits
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1.
Level 7-8 [Length: 7 minutes]
A small version of a rectangular company logo has an area of 120 cm². The ratio of the
width to the height is 5:6.
(a)
Determine the width and the height of the logo.
The logo is enlarged so that its area increases by 125%.
(b) Determine the width and height of the larger logo.
On solving the provided question, we can say that Length of rectangle = 50 m and Area of rectangle = 300 m.sq and the breadth of the garden is 6 m.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Length of rectangle = 50 m and Area of rectangle = 300 m.sq
Since, Area of rectangle = length x breadth
Therefore, Breadth = 300/6
Thus, the breadth of the garden is 6 m.
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help me also the 10 is negative on the end
Answer:
-96188148454815460181518484413
a seamstress has 35 of a box of buttons left in her kit. after doing some mending, she used 14 of another box. if both boxes contained 200 buttons when they were originally bought, how many buttons did the seamstress use for her recent mending?
Therefore, the seamstress used 200 + 200 - 179 = 221 buttons for her recent mending.
As per the data given in the above question are as bellow,
The data provided are as bellow,
There are 35 buttons remaining in a package in the equipment of a seamstress.
She repaired some things and used 14 of another box.
How many buttons did the seamstress use for her most recent repair if both boxes initially had 200 buttons?
The seamstress had
200 - 35 = 165 buttons
left in her first box after using some of them.
So she had
165 + 14 = 179 buttons in total.
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if a triangle is other side is 7m and other side is 12m what is the other side going to be
If a triangle has one side of 7 meters and another side of 12 meters, the other side is approximately 13.928 meters long.
A triangle is a three-sided polygon that has three angles and three sides. The sides of a triangle are connected by its angles, and the sum of the angles of a triangle is always equal to 180 degrees. The length of the sides of a triangle affects the size of its angles, and the size of its angles affects the length of its sides.
Now, in the case of a triangle where one side is 7 meters and another side is 12 meters, the length of the third side can be calculated using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Mathematically, it can be written as
=> a² + b² = c²,
where a and b are the lengths of the two sides, and c is the length of the hypotenuse.
Using the Pythagorean theorem, we can find the length of the third side of the triangle. Let's call the length of the third side "x". So,
=> x² = 7² + 12² = 49 + 144 = 193.
Taking the square root of both sides, we get
x = √(193) = 13.928.
So, the third side of the triangle is approximately 13.928 meters long.
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A commercial for a breakfast cereal is shown during a certain television program. The manufacturer of the cereal wants to estimate the percent of television viewers who watch the program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. Of the following, which is the smallest sample size that will satisfy the manufacturer’s requirements?
Minimum sample size to satisfy manufacturer requirements is 2401.
What is sample size?The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.
Given,
Margin of error m = 0.02
for Confidence interval = 95% , Z - value = 1.96
Sample size n = Z²p(1 – p)/m²
p is the proportion of population (generally taken as 0.5),
m is the margin of error.
n = (1.96)²× 0.5(1 - 0.5)/(0.02)²
n = (1.96)²× 0.5(0.5)/(0.02)²
n = 2401
Hence, 2401 is the smallest sample size.
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Answer this question
pathagorean theorum, solve and steps if possible
Answer: A, 4[tex]\sqrt{14}[/tex]
Step-by-step explanation:
18^2-10^2=224
[tex]\sqrt{224}[/tex] =4[tex]\sqrt{14}[/tex]
Answer: 4 √ 14
Step-by-step explanation:
Pythagorean theorem is (a^2 + b^2 = c^2)
Step 1. (10^2) + (x^2) = (18^2) {we divided the 20 by 2 to get one right triangle for the pythagorean theorem.}
Step 2. 100 + x^2 = 324
Step 3. x^2 = 224
Step 4. x ≈ 15 (rounded to the nearest whole number) (x = 14.9666295)
Step 5. Eliminate the wrong choices. B and D are both eliminated, because they are whole numbers, and they don't match the answer we got.
Step 6. Find the square root. 2 √ 106 is ≈ 20.59126, which isn't equal to our 14.966, .
Step 7. With all but one answer remaining, the answer would be 4 √ 14, and we can double-check. (14.9666295 = 14.9666295.)
The following data represent the dividend yields of a random sample of 28 pubicly traded stocks.
The following data represent the dividend yields of a random sample of 28 publicly traded stocks. The five number summary is: 0, 0.185, 0.72, 2.30, 3.58
What is traded shocks?The term "trade shocks" refers to changes in the amount of commodities and services exchanged globally as well as in international pricing that result in net profits or losses from trade. It has to do with changes in international marketplaces that frequently occur independently of national influences. Conventional wisdom is that terms-of-trade shocks are a significant contributor to business cycles in developing and underdeveloped nations. This viewpoint is founded in great part on the examination of calibrated business-cycle models.
(a) From the given table it is shown that,
0,3.58,0.37/2, (0.69+0.85)/2, (2.11 + 2.49)/2
The five number summary is: 0, 0.185, 0.72, 2.30, 3.58
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3. Shown is a rectangular based pyramid. The apex E is directly over the centre E of the base. B 8cm 10cm с 5cm D AD = 8cm CD = 5cm CE = 10cm a. Calculate the height of the pyramid b. Calculate the angle EBD
The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees
Calculate the height of the pyramidFrom the question, we have the following parameters that can be used in our computation:
AD = 8cm CD = 5cm CE = 10cm
Given that the apex E is directly over the centre, we have
Height (h^2) = CE^2 - AD^2
So, we have
h^2 = 10^2 - 8^2
This gives
h = 6
Calculate the angle EBDHere, we can use the definition of tangent which is represented as
tan(EBD) = h/AD
So, we have
tan(EBD) = 6/8
tan(EBD) = 0.75
Take the arctan of both sides
EBD = 36.87
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Riley wants to solve the equation 1/4(25x + 3/5) =-2.5 - 3/8x She uses a graphing program to graph the equations y = 1/4(25x + 3/5) and y=-2.5 - 3/8x. Use the graph to find the solution of 1/4(25x+3/5= -2.5-3/8x.
A. -0.4
B. -2.35
C. (-0.4,-2.35)
D. Cannot be determined
Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is
C. (-0.4,-2.35)What is the solution of system of equations?The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.
Finding all of these intersections or common solutions is what it means to solve a system.
Examining the attached graph the point of intersection is (-0.4,-2.35) and this is hence the solution.
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