Answer:
Step-by-step explanation:
The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm
This means that the required length of computer chips is between 1.1cm - 1.3cm
Where 1.1cm = [1.2 - 0.1]
1.3cm = [1.2 + 0.1]
Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.
The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:
- The length of the chips.
The length of the chips his production team produces should be tailored to meet the length specification of his client.
Consider the polynomial function q(x) = -2x^8 + 5x^6 -3x^5 + 50 What is the end behaviour of the graph of q?
The end behavior of the function q(x) is:
when x → ∞, q(x) → -∞when x → -∞, q(x) → -∞How to identify the end behavior?To know the end behavior we need to look at the degree and the sign of the leading coefficient.
If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.
Here we can see that the function is:
q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50
So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:
when x → ∞, q(x) → -∞
when x → -∞, q(x) → -∞
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Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.
f(x) = 262,144
Which statement compares the mathematical range and reasonable range of the function?
Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144
Answer:
D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Step-by-step explanation:
I don't even know, but yeah.
Answer:
D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144
Step-by-step explanation:
A zookeeper predicted the weight of a new baby elephant to be 264 pounds when it was born. The elephant actually weighed 296 pounds at birth. What was the percent error of the zookeeper's prediction?
A.
10.81%
B.
32%
C.
89.19%
D.
12.12%
The percent error of the zookeeper is A. 10.81%
What is Percent Error
Percent Error is the difference between the actual value and the estimated value compared to the actual value and is expressed in a percentage.
Percent Error = Estimated value - Actual value/Actual value * 100%
where,
Estimated value = 264 pounds
Actual value = 296 pounds
Percent Error = 264 pounds - 296 pounds / 296 pounds *100%
Percent Error = 32 pounds/296 pounds * 100%
Percent Error = 3200/296 %
Percent Error = 10.81%
Therefore, the percent error of the zookeeper = 10.81%
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Determine whether the following inequalities satisfy the number line shown below.
The inequalities which satisfy the number line shown is x>2 and x>=2.
We are given that;
The number line showing inequality
Now,
x>2 satisfies the equation by the given number line
x>=2 satisfies the equation by the given number line
x<=-3 does not satisfies the equation by the given number line
x<=-3 does not satisfies the equation by the given number line
Therefore, by the number line the answer will be x>2 and x>=2 .
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Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.
*Hint: Divide the shape into 2! You will need to use trig!
Check the picture below.
so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".
\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)
The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at various speeds x (miles per hour).
Speed, x (mi/h) 50 55 60 65 70 75 80 85 90
Distance ,y (100m) 20 25 35 50 70 95 125 200 160
Required:
Find an equation of the quadratic function that models the data, and predict the stopping distance for the train traveling at 95 miles per hour.
The required equation is 0.1x²-9.5x+245=0
And, the stopping distance for the train traveling at 95 miles per hour is 245.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
Speed, x (mi/h) 50 55 60 65 70 75 80 85 90
Distance ,y (100m) 20 25 35 50 70 95 125 160 200
Now, let an quadratic equation be, ax²+bx+c=y
Putting the values of x & y we get,
2500a+50b+c=20 ....(1)
3025a+55b+c=25...(2)
3600a+60b+c=35 .....(3)
solving this we get,
a= 0.1
b=-9.5
c=245
Hence, the required equation is 0.1x²-9.5x+245=0
And, the stopping distance for the train traveling at 95 miles per hour is 245.
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put more than 5 points & will mark branliest.
Which fraction is equivalent to a repeating decimal?
A. 1/10
B. 1/15
C. 1/16
D. 1/20
Answer:
c. 1/16 = 0.0625 is ur answer buddy
Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)
Putting the x-coordinates in (1),
\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)
Similarly, putting the y-coordinates in (1),
\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)
Hence, the coordinates of B are (-7,-2).
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Brian is buying gifts bags for all of the students in his class. The graph shows the relationship between the number of bags and the cost of the bags. Write an equation relating the number of bags, x, and the cost, y.
An equation that relates the number of bags, x, to the cost, y is y = 5x.
What is an equation?An equation is a mathematical statement that claims that the two sides are equal.
An equation involves two or more variables that require some mathematical operations to obtain their equivalent value.
Therefore, an equation contains numbers, variables, and operators, which show a value after the mathematical operations.
Data and Calculations:Let the number of bags for the class = x (number of students)
Let the unit cost of a bag = $5
Let y = the total cost
Equation, y = 5x
Thus, an equation that relates the number of bags, x, to the cost, y is y = 5x.
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19.
Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. How much is in the savings account?
$1,969.55
$1,222.10
$1,777.10
$1,315.07
The correct answer is C. $ 3,666.30 is in the savings account.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Let's calculate how much money you have in the CD after 5 months, this way:
Gross Income = $ 4,520
Total deductions on taxes = 27.9% (11.75 + 7.65 + 8.50) * 4,520 = $ 1,261.08
Realized income = Gross income - Total deductions on taxes
Realized income = 4,520 - 1,261.08
Realized income = $ 3,258.92
Fixed expenses = 3,258.92 * 0.3 = $ 977.68
Emergency fund = 977.68 * 5 = $ 4,888.40
Certificate of Deposit = 4,888.40 * 0.75 = $ 3,666.30
The correct answer is C. $ 3,666.30
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6. 10 X 10 X 10
exponent form:
word form:
Answer:
the exponent is 10 ^ 3 and the word form is ten times ten times ten
Step-by-step explanation:
if you need more help just ask
Hailey made the following statement: "It is impossible to build a rectangular prism with a volume of 40 units 3 if one side measures 5 units." Key represents 1 cubic unit Select the two figures below that prove Hailey's statement is false.(no links/files)
Answer:
The answer is 3) and 4)
Step-by-step explanation:
They both have 40 units and a side that measures 5 units
Please help! These data show the number of miles each of the 9 members of a track team ran for the week.
11 11.5 10.5 17 14.5 14.5 18 17 19
What is the IQR (interquartile range) for these data?
6.25
7.00
14.50
17.50
Answer:
14.50
Step-by-step explanation:
i took the quiz on k12 truse me i wish luck
The IQR for these data is 6.25.
Answer choice A is correct.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the IQR, we first need to find the first and third quartiles.
First, we need to order the data from smallest to largest:
10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19
Next, we find the median (middle value) of the data set.
Since we have an odd number of data points, the median is the middle number, which is 14.5.
To find the first quartile (Q1), we need to find the median of the lower half of the data set.
That is, we need to find the median of 10.5, 11, 11.5, and 14.5.
The median of this subset is (11 + 11.5) / 2 = 11.25.
To find the third quartile (Q3), we need to find the median of the upper half of the data set.
That is, we need to find the median of 17, 17, 18, and 19.
The median of this subset is (17 + 18) / 2 = 17.5.
Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
= 17.5 - 11.25
= 6.25
Therefore,
The IQR for these data is 6.25.
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Miguel bought 8 equally priced pens for $3.84.
How much will 15 of these pens cost?
$10.42
$7.20
$5.89
$2.05
Answer:
For 15 pens, the cost is $7.2Step-by-step explanation:
We know that:
8 pens = $3.84Work:
8 pens = $3.84Divide the RHS:
=> 1 pen = 3.84/8=> 1 pen = 0.48Multiply the RHS:
=> 15 pens = 0.48 x 1=> 15 pens = $7.2Hence, for 15 pens, the cost is $7.2
Hoped this helped.
\(BrainiacUser1357\)
helllllllppppp me please
Answer:
no
Step-by-step explanation:
if Jill's age is 84 and johns age is 21 how many years ago was Jill 10 times older than john
Select the correct answer from the drop-down menu. The missing term in the denominator is
Answer: where is the answer choices
Step-by-step explanation:
You are employed as the office manager at Clover Point Pediatrics. Your job requires you to take on many responsibilities. One of these is to arrange for the annual clinic party. This year, you have been given permission to rent a banquet room at a local hotel, hire a caterer, and hire a disc jockey for entertainment. There are 23 employees and each will be bringing one guest (46 total). Answer the following: The banquet rental is $1,200.00 for the evening and this includes all set ups. What will the entire evening cost (food, beverages, entertainment, and rental)?
Based on the cost of the banquet rental, the number of employees coming, and the cost of the Disk Jockey, the entire evening will cost $3,629.70
How to find the cost of the evening?The total cost of the evening is:
= Banquet rental cost + Entertainment cost + Food per person + Beer and wine per person
Solving gives:
= 1,200 + (100 x (12am - 7pm)) + (29.95 x 46) + (12 x 46)
= 1,200 + 500 + 1,377.70 + 552
= $3,629.70
Rest of the question is:
The caterer is charging $29.95 per person for a sit-down dinner. Beer and wine will be served at a cost of $12.00 per person. The entertainment costs $100.00 an hour, and entertainment will be held from 7:00 p.m. to midnight.
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7TH GRADE MATH ALEKS
Aldo invested in a savings bond for 6 years and was paid a simple interest at an annual rate of 4% the total interest that he earned was 192 how much did he earn
Answer:
$723.66
Step-by-step explanation:
\(x=(1 + 4 {)}^{6} = x + 192 \)
\(\boxed{\green{x = 723.66}}\)
trish is breaking ground for a rose garden inher backyard. the garden will be a square with a side length of 7 meters. what will be the area of the rose garden?
Answer:
the area is 49m² this because for area you have to mutiple
Step-by-step explanation:
7×7=49
hi guys, i have a percentage question that I am not sure.
Here is the question: A phone costing £500 is in a sale. The sale price is £400 what percentage off is this?
Answer:
20 percent
Step-by-step explanation:
\(\frac{400}{500}\)\(=0.8\)
\(1-0.8=0.2\)
This means that 20 percent off of 500 is 400.
Answer:
The answer should be 20%
Step-by-step explanation:
Hope this helps
Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times
you will roll a five?
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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Which decimal has the greatest value ? 0.2 , 0.27 , 0.029 , 0.231
Answer:
0.27
Step-by-step explanation:
Greatest decimal value is 0.27
What is decimal value?Decimals are based on the preceding powers of 10
Given decimal values are
0.2,0.27,0.029,0.231
Order the decimal numbers from low to high
0.029<0.2<0.231<0.27
Hence, the greatest decimal value is 0.27
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PLEASE PLEASE PLEASE HELP ME WITH THIS QUESTION :(((
1) slope is 125 y int is 400
y=125x+400
2) 125(53) + 400
7025
Answer:
a) y=25x+200
b) 25(53)+200 = 1525
Step-by-step explanation:
1) A linear equation would mean you need y=mx+b
2) Check how much it's being added per 5 x's then put it into the "M" (m=25)
3) Use your new m to subtract to find "B" (b=200)
4) Solve everything with your equation.
A boat is heading towards a lighthouse, whose beacon-light is 110 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
Answer: 97
Step-by-step explanation:
\(\tan 16^{\circ}=\frac{110}{x+y} \\ \\ \implies \frac{x+y}{110}=\frac{1}{\tan 16^{\circ}} \\ \\ \implies x+y=\frac{110}{\tan 16^{\circ}} \\ \\ \\ \\ \tan 21^{\circ}=\frac{110}{x} \\ \\ \implies \frac{x}{110}=\frac{1}{\tan 21^{\circ}} \\ \\ \implies x=\frac{110}{\tan 21^{\circ}} \\ \\ \\ \\ \therefore \frac{110}{\tan 21^{\circ}}+y=\frac{110}{\tan 16^{\circ}} \\ \\ y=\frac{110}{\tan 16^{\circ}}-\frac{110}{\tan 21^{\circ}} \\ \\ y \approx 97\)
Solve: 2 x + 5y + 5 = 0
2y=3x+17.
Find x and y
Answer:
x = -5 and y = 1
Step-by-step explanation:
a) 2x + 5y +5 = 0
a) 2x + 5y = -5
b) 2y = 3x + 17
b) y = 3/2x + 17/2
a) 2x + 5(3/2x + 17/2) = -5
a) 2x + 15/2x + 85/2) = -5
a) 19/2x = -5 - 85/2
a) 19/2x = -95/2
a) x = (-95/2) / (19/2)
x = -5
b) 2y = 3(-5) + 17
b) y = 2/2
y = 1