The price of the refrigerators that is the median for the first half of the data is $498.
What is the median of the first half of the data?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256
The first half of the prices are $379, $498, $619,
Median = $498
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Help Please Quick! Pleasee
Answer:
you can search them up! Just search up fractions calculator
Step-by-step explanation:
Consider the function f(x)=8x3−2. If f(g(x))=x and g(f(x))=x, find g(x)
I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.
For this problem, simply find the inverse of f(x).
If you are stuck, I could provide you with a solution below...
f(x) = 8x³ - 2
y = 8x³ - 2
y + 2 = 8x³
(y + 2)/8 = x³
cube root((y + 2)/8) = x
g(x) = cube root((x + 2)/8)
The value of function g(x) after solving will be ∛(x + 2) / 2.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of function,
f(x) = 8x³ − 2
And, f(g(x)) = x and g(f(x)) = x
Now,
Since, f(g(x)) = x
And, f(x) = 8x³ − 2
The substitute x = g (x) in above equation we get;
f (g(x)) = 8 (g(x))³ - 2
x = 8 (g(x))³ - 2
Add 2 both side;
x + 2 = 8 (g(x))³
Divide by 8;
(x + 2)/8 = (g(x))³
Take cube root both side;
∛(x + 2)/8 = g(x)
g(x) = ∛(x + 2) / 2
So, The value of function g(x) after solving will be ∛(x + 2) / 2.
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Which ratio is less than 7/15?
9/15
2/5
3/5
24/45
Answer:
2/5 :)
Step-by-step explanation:
Use synthetic division to divide:
(2x^4+5x^3-3x^2-x+1) / (x+2)
Answer:
[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]
Step-by-step explanation:
See picture for explanation
Calculate the perimeter of the semi-circle below. Use 3.14 to approximate π.
12 cm
37.902
Step-by-step explanation:
3.14x12+12
PLEASE HELP PLEASE PLEASE HELP
Answer:
Light
Step-by-step explanation:
Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.
which number is equivalent to 5√8 x 3√4
A. 15√2
B. 60√2
C. 30√3
D. 60√3
Answer:
B
Step-by-step explanation:
5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =
= 30×sqrt(8) = 30×sqrt(4×2) =
= 30×2×sqrt(2) = 60×sqrt(2)
help The area of a square
Answer:
[tex]2551\dfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in[/tex]
[tex]\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in[/tex]
Volume of rectangular prism = l*w*h
[tex]= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches[/tex]
Answer:
[tex]\sf 2551\frac12 \ cubic \ inches[/tex]
Step-by-step explanation:
volume of a cuboid = width × length × height
Given:
[tex]\sf width=10\frac12 \ in[/tex][tex]\sf length=20\frac14 \ in[/tex][tex]\sf height=12 \ in[/tex]Substituting given values into the formula for volume:
[tex]\sf \implies volume=10\frac12 \times 20\frac14 \times 12[/tex]
[tex]\sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}[/tex]
[tex]\sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{20412}{8}[/tex]
[tex]\sf =2551\frac12 \ in^3[/tex]
A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form
Answer:
π/2 : 1 or π : 2
Step-by-step explanation:
In the attachments I have a picture of a square inscribed in a circle.
Call the side of the square a. Therefore, the area of the square is a^2.
We can also see that the diagonal of the square is the circle's diameter.
Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.
We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.
Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.
41. Henry stands on a platform and shoots a rocket in his 10th
grade science class. He found that the motion of the rocket can be
described by the equation y = 60 + 28x – x2, where y is the
vertical distance and x is the horizontal distance traveled. If this
trajectory equation were to be graphed, find the x-intercepts of the
equation. (Fun fact: The positive x-intercept is how far away from
the platform the rocket hits the ground!)
The x-intercepts of the quadratic equation are given by x = -2 and x = 30.
What are the x-intercepts of a quadratic equation?A quadratic equation is modeled by:
y = ax² + bx + c.
The x-intercepts are the values of x when y = 0, given by:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
In this problem, the equation is:
y = 60 + 28x - x².
Hence the coefficients are a = -1, b = 28, c = 60.
Then:
[tex]\Delta = 28^2 - 4(-1)(60) = 1024[/tex]
[tex]x_1 = \frac{-28 + \sqrt{1028}}{-2} = -2[/tex]
[tex]x_2 = \frac{-28 - \sqrt{1028}}{-2} = 30[/tex]
The x-intercepts of the quadratic equation are given by x = -2 and x = 30.
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What is the solution to this system of
equations?
6x - 2y = 8
1-3x + y = -4
A. No Solution
B. (0, -4)
C. Infinite Solutions
Answer:
No solution
Step-by-step explanation:
System of Linear Equations given :
[1] 6x-2y=8
[2] 1-3x+y=-4
Equations Simplified or Rearranged :
[1] 6x - 2y = 8
[2] -3x + y = -5
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 3x - 5
// Plug this in for variable y in equation [1]
[1] 6x - 2•(3x-5) = 8
[1] 0 = -2 => NO solution
Find the equation of the line through the points (0, –3) and (4, 5)
Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{5--3}{4-0}[/tex]
Simplify
m=[tex]\frac{5+3}{4-0}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
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What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
6 = 6/10
Step-by-step explanation:
.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.
Answer:
[tex]\dfrac{60}{100}[/tex]
Step-by-step explanation:
Six tenths:
[tex]\dfrac{6}{10}[/tex]
where 6 is the numerator and 10 is the denominator
We want the denominator to be 100, so how do we convert 10 into 100?
We multiply by 10, since 10 x 10 = 100
When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator. Therefore, we should multiply both by 10:
[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]
Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:
[tex]\dfrac{60}{100}[/tex]
(sixty hundredths)
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.
What is the surface area of the cone? Express the answer in terms of .
240 square inches
384 square inches
480 square inches
624 square inches
The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
Surface area of a conesurface area = πr(r + l)
where
r = radiusl = slant heightTherefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
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Answer:
B) 384 π square inches
Step-by-step explanation:
E2020
Do basketball players hit a higher proportion of free throws when they're playing at home or when they're playing away this best is assessed by using
Answer:
home
Step-by-step explanation:
I'm not sure I'm just guessing honestly
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 3
180 g onions
120 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 litres vegetable stock
Answer:
Step-by-step explanation:
To get one portion of soup, each ingredient should be divided by 3
Quantity of onion required= 180 ÷ 3 = 60 g
Quantity of carrots required = 120 ÷ 3 = 60 g
Oil = 3 ÷ 3 = 1 table spoon
Quantity of tomatoes required = 600 ÷ 3 = 300 g
Vegetable stock = 1.2 ÷ 3 = 0.4 litres
Complete the net worth statement. What is the net worth of the individual?
A) $171,645
B) $19,950
C) $21,000
D) $26,595
Considering it's concept, it is found that the net worth of the individual is given by:
D) $26,595.
What is the net worth of an individual?It is given by the sum of the individual assets subtracted by the sum of it's liabilities.
Researching the problem on the internet, we have that:
The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.Hence, his net worth is given by:
N = 171645 - 145050 = $26,595.
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The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
What is the net worth?The net worth is the value of assets less the value of liabilities.
The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.
Data and Calculations:Assets = $171,645
Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)
Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
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I need help with this question 80 pts
Answer:
65
Step-by-step explanation:
angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.
130=2y
130/2=2y/2
65=y
Answer:
y = 65°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.
⇒ m∠2 = m∠4
⇒ 130° = 2y
⇒ y = 130° ÷ 2
⇒ y = 65°
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
-
Using the GCF factor the given expression 4m - 20
4(m - 5)
2(2m - 10)
4m - 20)
2(2m - 20)
Hey there!
Finding something that’s equivalent to: 4m - 20
Option A.
4(m - 5)
= 4(m) + 4(-5)
= 4m - 20
Possibly Option A. is your answer.
Option B.
2(2m - 10)
= 2(2m) + 2(-10)
= 4m - 20
Possibly Option B. could be your answer
Option C.
4(m - 20)
= 4(m) + 4(-20)
= 4m - 80
Optipn C. isn’t your answer
Option D.
2(2m - 20)
= 2(2m) + 2(-20)
= 4m - 40
Option D. also isn’t your answer just like Option C.
FACTORS OF: 4m - 20
4: 1,2,4, & m
20: 1,2,4,5,10,& 20
LIKE TERMS: 1,2,4
GCF: 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
(WILL MARK BRAINLIEST) Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram below. Each time the spinner lands on blue, she will win a prize.
If Keisha spins this wheel twice, what is the probability that she will win a prize on both spins?
Answer:
6/11
Each time you spin the pointer there is a 3/8 for each of the two spins. That means there is a 6/11 chance of the pointer landing on blue for both times the pointer is spun.
Step-by-step explanation:
Each spin there are 8 possible sections the spinner can land on. The circle has 3 blue sections. The question asks what is the probability of the spinner landing on blue for BOTH spins. This means that you would have to show the denominator as 16. Each time you spin the pointer there is a 3/8 chance it will touch blue. When you spin it two times there is a 6/16 probability that the spinner will land on blue for each of the times the pointer is spun.
Have a great rest of your day
#TheWizzer
A T.V. se was bought for Rs. 13950, when 10% discount is given. , calculate the marked price of the T.V.
Answer:
15500
Step-by-step explanation:
Solution
here
price of tv after discount: 13950
discount : 10%
now,
price of tv without discount= 13950÷90×100price of tv without discount= Rs15500Consider the diagram.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.
What is QS?
2 units.
5 units.
17 units.
33 units.
Answer:
A on edge
Step-by-step explanation:
:)
A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,
RT = QT
Now, in ΔRST and ΔQST,
RT ≅ QT
ST ≅ ST {Common side}
Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,
RS = SQ
Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.
RS = SQ
3x + 2 = 5x - 8
2 + 8 = 5x - 3x
10 = 2x
x = 5
QS = 5x - 8
= 5(5) - 8
= 25 - 8
= 17 units
Hence, the length of QS is equal to 17 units.
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Help please anybody?
Answer:
.................
216cm^2
Step-by-step explanation:
brainliest please
Maria rolls a regular number cube with sides labeled 1 through 6. How many possible outcomes are there?
In the diagram, mZXYZ (Exterior Angle Y)=115º and
mZWXY (Angle X) = 45°.
What is m
Answer: 70 degrees
Step-by-step explanation:
Determine which of the triangles below are unique. Share your reasoning.
Triangle A: All angle measure 60 degrees
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 55
degrees
Triangle D: Base has length of 6 cm, and the base angles are 50 degrees.
Answer:
Triangle A and Triangle BStep-by-step explanation:
I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.
So hence, I think the answer is A and B
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Always keep more than 2 smiles! You have to share them with people who don't have one too, right??
Thanks!
:D
please help me solve for m<C and m<D
Answer:
Step-by-step explanation:
Use law of cosine to calculate the other side.
c² = a² + b² -2ab Cos C
Here, c is the length of the side which is opposite side to ∠E
a = 29 ; b = 25 and C = 109
c² = 29² + 25² - 2*29*25*Cos 107
= 841 + 625 - 1450* (-0.2923)
= 1466 + 423.835
= 1889.835
c =√1889.835
c = 43.47 ≈ 43
No, find ∠D using again use law of cosine
[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]
β = ∠C = 34°
α = 180 - (34 +107)
α = ∠D = 39
Other angles are
∠C = 34° and ∠D°39
All exponential functions can be written in many forms. Write the function
f(t) = 2800(0.95)' in the form f(t) = abro. Round all coefficients to four
decimal places.
[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]
Can someone please help me