The range of salary is (a) the range of salaries is from $38,500 to $39,800.
How to determine the salary range?The given parameters are:
Average salary = 39,800
Vary = Less than $1300
Let the salary be x.
So, we have:
x = 39,800
When the salary varies, the equation becomes
x = 39800 - 1300
Evaluate
x = 38500
This means that the salary is from 38500 to 39800
Hence, the range of salary is (a) the range of salaries is from $38,500 to $39,800.
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Could someone help me on this
Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
What does the graph of the parametric equations x(t)=2−t and y(t)=(t+3)^2, where t is on the interval [−4,0], look like? Drag and drop the answers to the boxes to correctly complete the statements.
The graph state that the initial point is (6.9), and the terminal point is (2,1). The vertex of the parabola is (3,0). Arrows along the parabola to indicate motion right to left.
What is the parametric equations about?Let take x = 4 - t =t = 4 - x as equation (1)
And y = (t - 1)^2 as equation (2)
Then input equation (1) into equation (2)
y = ( 4 - x - 1)^2
y = ( 3 - x)^2
y = ( x - 3)^2
So therefore, y = a ( x -3)^2 + 0
It can be written as y = a(x - h)^2 + k
Where, a = 1
The vertex known to be (h, k) will be = (3,0).
The starting point is if t = -2
Therefore, x = (4 - -2) = 6
y = (-2 - 1)^2 = (-3)^2 = 9
So x, y = (6,9).
Note that if t = 2
Then x = (4 - 2) = 2
y = (2 - 1)^2 = 1^2
= 1
Therefore, x, y =(2, 1).
Therefore, The graph of the parametric equations state that the initial point is (6.9), and the terminal point is (2,1). The vertex of the parabola is (3,0). Arrows along the parabola to indicate motion right to left.
See full question below
What does the graph of the parametric equations x(t)=4−t and y(t)=(t−1)^2, where t is on the interval [−2,2], look like?
The parametric equations graph as a portion of a parabola. The initial point is _____, and the terminal point is _____. The vertex of the parabola is ____. Arrows are drawn along the parabola to indicate motion ____.
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what is lim x→-3 sqrt x^2-8
If the -8 is under the square root, then...
[tex]\displaystyle L = \lim_{x\to -3} \sqrt{x^2-8}\\\\L = \sqrt{(-3)^2-8}\\\\L = \sqrt{9-8}\\\\L = \sqrt{1}\\\\L = 1\\\\[/tex]
OR
If the -8 is not under the square root, then...
[tex]\displaystyle L = \lim_{x\to -3} \sqrt{x^2}-8\\\\L = \sqrt{(-3)^2}-8\\\\L = \sqrt{9}-8\\\\L = 3-8\\\\L = -5[/tex]
Either way, we replace x with -3 and simplify.
For more information, refer to the direct substitution rule for limits.
The limit of [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex] is one.
What is Limits?A limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity.
The given limit is [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex]
Now replace x with -3 as limit value is -3
√(-3)²-8
Square root over minus three square minus eight
The three square is nine
√9-8
When eight is subtracted from nine we get one.
√1
The square root of one is always one
[tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex]=1
Hence, [tex]\lim_{x \to \-(-3)} \sqrt{x^{2} -8}[/tex] is one.
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find the slope between these two points (-8,3) and (6,7)
Answer:
[tex]slo pe \: = \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]y1 = 3\\ x1 = - 8 \\ y2 = 7 \\ x2 = 6[/tex]
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]sope = \frac{7 - 3}{6 - ( - 8)} [/tex]
[tex]slope = \frac{4}{6 + 8} [/tex]
[tex]slope = \frac{4}{14} [/tex]
[tex] = \frac{2}{7} [/tex]
Answer:
[tex]\textsf{slope}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
[tex]\textsf{let}\:(x_1,y_1)=(-8,3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(6,7)[/tex]
Using the slope formula:
[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-3}{6-(-8)}=\dfrac{4}{14}=\dfrac{2}{7}[/tex]
Therefore, the slope between the two points (-8, 3) and (6, 7) is 2/7
You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?
Answer:
11,000
Step-by-step explanation:
10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.
Match the following items by evaluating the expression for x = -7. x-2 x-1 x0 x1 x2
Answer:
[tex] {x}^{ - 2} = \frac{1}{ {x}^{2} } \: \: –> {7}^{ - 2} = \frac{1}{ {7}^{2} } = \frac{ 1}{49} \\ \\ {x}^{ - 1} = \frac{1}{ {x}^{1} } \: –> {7}^{ - 1} = \frac{1}{ {7}^{1} } = \frac{1}{7} \\ \\ {x}^{0} –> {7}^{0} = 1 \\ \\ {x}^{1} –> {7}^{1} = 7 \\ \\ {x}^{2} –> {7}^{2} = 49[/tex]
What is the correct way to write 0.000000056
meter in scientific notation?
Answer:
[tex]5.6 \times 10^{-8}~ m[/tex]
Step-by-step explanation:
[tex]0.000000056\\\\=\dfrac{56}{1000000000}\\\\\\=\dfrac{56}{10^9}\\\\\\=56 \times 10^{-9}\\\\\\=56 \times 10^{-1} \times 10^{-8}\\\\\\=5.6 \times 10^{-8}~[/tex]
Which Box-and-Whisker Plot below correctly illustrates the data shown below?
{22, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A.
B.
C.
D.
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.
Here, Given the data set,
30, 22, 22, 27, 28, 23, 24, 25, 26, 23
the five-number summary for the box-and-whisker plot would be:
Minimum: 22
Quartile Q1: 22.75
Median: 24.5
Quartile Q3: 27.25
Maximum: 30
Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
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PLEASE HELP ILL MAKE YOU THE BRAINIEST!!
Find the area of the shaded segment of the circle
Answer:
Exact Area =
16pi - 32 square meters
Decimal Approx:
A = 18.3 sq m
Step-by-step explanation:
In degrees, it's 360° all the way around a circle. The 270° in the image is to show you that the small piece (the triangle and yellow segment) are in a 90° part of the circle. That is 1/4 of the circle, this helps with area two ways. We'll find 1/4 of the circle area and also, that makes the triangle base 8 and height 8. This helps us find triangle area. See image.
The average cost of regular gasoline per gallon in 2014 was $3.34. In 2015 it decreased $0.94 per gallon in 2016 it decreased another $0.27 per gallon. The average cost increased.36 per gallon in 2017 what was the average cost per gallon at the end of 2017
Let's calculate the surface of the ABC triangle from the image if the area of the triangle DBC is 40 square unit,| BC| = 8i| AB| = 14. Corners marked in the image are compliant.
ANSWER: 122.5 square
Answer:
122.5 squared
Step-by-step explanation:
bahh have have aheve shaved she sbdnabd sjsbd akdbd
The circumference of the hub cap of a tire is 80.07 centimeters. find the area of this hub cap. use
3.14 for it. if the circumference of the hub cap were smaller, explain how this
would change the area of the hub cap.
the area of this hub cap is about how many
square centimeters?
The area of this hub cap is about 510.44625 cm².
What is Area of Circle?The area of circle is pi times the square of the radius.
Area of circle =π r²
Circumference (C) = 2π r
80.07 = 2 (3.14) r
76.87/ (2x 3.14) =r
r = 12.75 cm
now, Area be
=π r²
= 3.14*12.5*12.75
=510.44625 cm²
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help me plss ty in advanced
Answer:
See below ~
Step-by-step explanation:
Q1
⇒ Remember that sides opposing larger angles are greater in size
⇒ 75° > 54° > 51°
⇒ AC > BC > AB
Q2
⇒ The exterior angles lie outside the triangle
⇒ ∠1 + ∠2 = ∠6 (Exterior Angle Property)
⇒ ∠1 + ∠2 = ∠P (Exterior Angle Property)
⇒ ∠3 = ∠5 (Vertical Angles)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
0.1
Step-by-step explanation:
You are adding on 0.1 for each line and since G is the first line after 0, it is 0.1.
Based on the information in the table what is the probability of being a girl and choosing lemonade?
Select one:
a.
21%
b.
.20
c.
20%
d.
38%
e.
.38
Using it's concept, it is found that the probability of being a girl and choosing lemonade is given by:
b. 0.2.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 130 people, 26 are girls who choose lemonade, hence the probability is given by:
p = 26/130 = 0.2, which means that option b is correct.
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A polynomial function is represented by the data in the table. choose the function represented by the data.
choose the function represented by the data.
The polynomial function represented by the data is equal to D. f(x) = −x² + 10.
How to determine the polynomial function?In order to determine the polynomial function represented by the data, we would substitute the value of x (-3) into the given set of functions as follows:
For option A, we have:
f(x) = 6x + 15
f(-3) = 6(-3) + 15
f(-5) = -18 + 15
f(-5) = -3 (False).
For option B, we have:
f(x) = -6x - 45
f(x) = -6(-3) - 45
f(x) = 18 - 45
f(x) = -27 (False).
For option C, we have:
f(x) = x² - 40
f(x) = -3² - 40
f(x) = 9 - 40
f(x) = -31 (False).
For option D, we have:
f(x) = −x² + 10
f(x) = −(-2)² + 10
f(x) = −9 + 10
f(x) = 1 (True).
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Complete Question:
A polynomial function is represented by the data in the table.
x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9
Choose the function represented by the data.
A. f(x) = 6x + 15
B. f(x) = −6x − 45
C. f(x) = x² − 40
D. f(x) = −x² + 10
What is the value of x in the equation three-fifths x = negative 45? –75 –27 27 75
Answer:
x = -75
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] x = - 45 ( multiply both sides by 5 to clear the fraction )
3x = - 225 ( divide both sides by 3 )
x = - 75
Answer:
A
Step-by-step explanation:
If increasing the number of goods produced is one way to increase
productivity, what is the other way to increase productivity?
A. Decrease the resources invested
OB. Raise the price of the goods
OC. Increase market share
OD. Lower the quality of the materials used
Answer: decrease the resources invested
Step-by-step explanation:
Question 38 Evaluate sin 45°. Round your answer to the nearest hundredth.
Answer:
≈0.71 or [tex]\frac{\sqrt{2}}{2}[/tex].
sin(45°) = approximately 0.71. The value is also equal to [tex]\frac{\sqrt{2}}{2}[/tex].
Hope this helps!!!
Please mark me as brainliest!!!
The median is a value in the data set
Answer:
Step-by-step explanation:
The median is defined as the middle value of a data set when all the data is arranged in numerical order.
If there is an even number of values, and therefore no middle value, then the median is calculated as the mean value of the two middle values.
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
A:–12 – 20x ≤ –6x + 9
B:–12 – 20x ≥ –6x + 9
C:–12 + 20x ≤ –6x + 9
D:–12 + 20x ≥ –6x + 9
The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is,
⇒ - 12 + 20x ≥ - 6x + 9
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ - 4(3 - 5x) ≥ - 6x + 9
Now, We can simplify as;
⇒ - 4(3 - 5x) ≥ - 6x + 9
⇒ - 12 + 20x ≥ - 6x + 9
⇒ 20x + 6x ≥ 12 + 9
⇒ 26x ≥ 21
⇒ x ≥ 21/26
Thus, The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is,
⇒ - 12 + 20x ≥ - 6x + 9
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Answer this for 10 pts pls
Answer:
c and a
Step-by-step explanation:
Answer:
it's both A and C
Step-by-step explanation:
2 x 3/8 is the same as 3/8 + 3/8
question 2 help me please
Answer:
90π in²
Step-by-step explanation:
Surface area of cylinder:r = 3 in
h = 10 in
[tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]
[tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]
In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .
Radius = 3 inches
Height = 10 inches
We know,
[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]
Substituting the values we get
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]
[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]
[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]
Write the equation in slope intercept form
y=-3/4x+0
what is y
Answer + Step By Step Explanation:
There is no single value for y as the input could differ (x)
y = -3/4x
if x = 0, y = -3/4(0) than y = 0
if x = 1, y = -3/4(1) than y = -3/4
...
if x = 5, y = -3/4(5) than y = -15/4
Solve for x. Figures are not necessarily drawn to scale.
Answer:
13.2 units
Step-by-step explanation:
12 is to 7.2 as (12+10) is to x
12/7.2 = (12+10)/x
x = 22 * 7.2/12 = 13.2 units
does someone mind helping me with this problem? Thank you!
Answer:
78
Step-by-step explanation:
= 12 x^2 - 30 put in ' - 3 ' for 'x'
= 12 ( -3 )^2 - 30
= 12 (9) - 30 = 78
Answer:
78
Step-by-step explanation:
Expression:
6(2x² - 5)Evaluate x = 3 according to the question:
[tex]6 \{2 (- 3) {}^{2} - 5) \}[/tex]
Solve this problem, applying PEMDAS.
[tex]6 \{2( - 3 \times - 3) - 5 \}[/tex][tex]6 \{2(9) - 5 \}[/tex][tex]6 \{18 - 5 \}[/tex][tex]6 \{13 \}[/tex][tex]78[/tex]Hence,the answer to the given expression is 78.
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Latonya works in a factory where she makes crispy snacks. first, she uses a machine that forms large 100 lb blocks of crispy. she cuts one block evenly into bars that each weigh 8oz. these bars are then pressed into a mold that creates 2 flat square wafers that each weigh 3oz. the left over waste material is put into recycle bins to be used elsewhere. these flat squares are then packed into bags of 5 which are sealed and finally packed into boxes, each containing 14 bags ready to be sent out to the stores. how much weight out of the original 100 lb block as a % is contained in the completely filled boxes (i.e. those containing a full 14 bags)?
The percentage of the original block cookie that is packaged and ready to be distributed to stores is: 12.6%.
How to calculate the biscuit percentage of the original biscuit that is packaged?
To calculate the percentage of the original 100lb cookie that is packaged and ready to be distributed, we must perform the following operations:
We must calculate how much each package of 5 cookies weighs, for this we multiply the weight of each cookie (3 ounces) 0.18 pounds by the number of cookies in each package (5).
0.18lb × 5 = 0.9 lbNext, we need to calculate how much the box containing 14 packages of cookies weighs by multiplying the weight of each package (0.9 lb) by the number of packages in each box (14).
0.9lb × 14 = 12.6 lbLastly, we need to calculate how much percentage the weight of each box is equal to the weight of the original 100 lb cookie that Latonya made. For that we divide 100 lbs. by 100 and multiply the result by the final weight of the box (12.6lbs).
100lbs ÷ 100 = 11 × 12.6 = 12.6%Based on the above, each box contains 12.6% of the first 100-lb cookie Latonya made.
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If the measure of arc AB is 50 degrees, what is the measure of angle ADB?
90 degrees
100 degrees
25 degrees
50 degrees
Answer:
25 degrees
Step-by-step explanation:
arc divided by 2 = angle
50/2=25
One year, the population of a city was 358,000. Several years later it was 286,400. Find the percent decrease.
A percentage is a way to describe a part of a whole. The percentage decrease is 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,
Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%
Hence, the percentage decrease is 20%.
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Which expression represents the number of possible permutations of n items taken r at a time?
Answer: [tex]\frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate factorial.
For instance, 4! = 4*3*2*1 = 24. You start with the given number and multiply your way down to 1.
For more information, check out the nPr permutation formula.