Answer: Acute
Step-by-step explanation: Right triangle has an angle of 90, and obtuse is more than 90, acute is less then 90 so there you go, hope this helps!
Answer:
acute
Step-by-step explanation:
What are the minimum, first quartile, median, third quartile, and maximum of the data set? 60, 50, 130, 200, 180, 150, 100, 140.
I think the answer is:
Minimum = 50
1st = 85
Median = 135
3rd = 167.50
Maximum = 200
However, none of the choices match my answer. What am I doing wrong?
Answer:
Minimum = 50
First Quartile = 80
Median = 135
Third Quartile = 165
Maximum = 200
Step-by-step explanation:
First, it is important to reorder our values into ascending order:
50, 60, 100, 130, 140, 150, 180, 200
You've correctly identified the minimum, median and maximum values, however the quartiles are where the mistakes lie.
1. In order to calculate the first quartile, you need to look at where the median of the first half of the values is, ie. 50, 60, 100, 130
The median will be the value between (or the average of) 60 and 100:
(60 + 100)/2 = 80
Thus, the first quartile is 80.
2. In order to calculate the third quartile, we must find the median of the second half of the data set, ie. 140, 150, 180, 200
The median will be the value between (or the average of) 150 and 180:
(150 + 180)/2 = 165
Thus the third quartile is 165.
I find it's always a good idea to just draw this out and label the different values on paper to make it a bit easier.
Hope that helped! If you find anything confusing just ask :)
The minimum, first quartile, median, third quartile, and maximum of the data set are:
Minimum = 50
First quartile = 115
Median = 145
Third quartile = 190
Maximum = 200
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
To find the minimum, first quartile, median, third quartile, and maximum of the given data set, we need to arrange the data in order from smallest to largest:
50, 60, 100, 130, 140, 150, 180, 200
The minimum is the smallest number in the set, which is 50.
To find the first quartile, we need to find the median of the lower half of the data set.
Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers in the set:
First quartile = (100 + 130)/2 = 115
The median is the middle number in the set.
Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers in the set:
Median = (140 + 150)/2 = 145
To find the third quartile, we need to find the median of the upper half of the data set.
Since there are 8 numbers in the set, the median is the average of the 6th and 7th numbers in the set:
Third quartile = (180 + 200)/2 = 190
The maximum is the largest number in the set, which is 200.
Therefore,
The minimum, first quartile, median, third quartile, and the maximum of the data set are:
Minimum = 50
First quartile = 115
Median = 145
Third quartile = 190
Maximum = 200
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Which type of triangle will always have exactly 1-fold reflectional symmetry?
a. right triangle
b. obtuse triangle
c. equilateral triangle
d. isosceles triangle
Answer:
d) Isoceles triangle
Step-by-step explanation:
you can only split it down the middle
Answer:
D. Isosceles Triangle
Step-by-step explanation:
PLEASE HELP 14 POINT QUESTION
Answer:
Green: 5/9 Red:2/9
Step-by-step explanation:
The numerator of a fraction is 3 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 2/3. Find the fraction
[tex]\dfrac{x-3}{x}[/tex] - initial fraction
[tex]\dfrac{x-3+1}{x+1}=\dfrac{2}{3}\\\\\dfrac{x-2}{x+1}=\dfrac{2}{3}\\\\2(x+1)=3(x-2)\\2x+2=3x-6\\x=8\\\\\dfrac{8-3}{8}=\dfrac{5}{8}[/tex]
It's [tex]\dfrac{5}{8}[/tex]
(1/9)^2n=27n what is the answer
Answer:
n=+ -0.0321563225311
The ratio of AB to BC is _______.
A) 3/1
B) 1/3
C) 2/3
D) 3/2
B 1/3
Ratio of AB:BC
3 : 9
1 : 3
How is the graph of y = 3(x+ 1)^2 related to its parent function, ? It is translated 1 unit right and compressed vertically by a factor of 3. It is translated 1 unit left and compressed vertically by a factor of 3. It is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
"It is translated 1 unit left and stretched vertically by a factor of 3"
Step-by-step explanation:
The parent function here is y = x^2
Let's give out some general rules of transformation:
If y = f(x) is a parent function, then
1. If we have y = a * f(x)
| a | > 1 is a stretch;
0 < | a | <1 is a compression, vertically for both
and
2. If we have y = f(x-c), this means horizontal translation to right c units and y = f(x+c) means horizontal translation c units left
Looking at y = 3(x+1)^2, we can say that "it is vertical stretch by a factor 3 and horizontal translation 1 units left"
Compare the three functions.
f(x) = 10x
x y
0 0
1 10
2 20
g(x) = 5x
x y
0 1
1 5
2 25
h(x) = 4x2 + 5x
x y
0 0
1 9
2 26
Select the true statement.
A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions.
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions.
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.
Answer:
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)
Step-by-step explanation:
We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.
1st function
f(x) = 10x
2nd function
g(x) = 5^x
3rd function
h(x) = 4x^2 + 5x
Please, see attached graph.
A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSE
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSE
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE
Answer:
b
Step-by-step explanation:
just look up
How many solutions does y=5/2x+2 and 2y=5x+4 have
Answer:
Step-by-step explanation:
y=5/2x+2
2y=5x+4
y=5/2x+2
y=5/2x+2
they are the same line/equation so infinite number of solutions
translate each phrase into an algebraic expression the quotation of 30 and three times a number
Answer:
[tex]\frac{30}{3x}[/tex]
Step-by-step explanation:
Let
x ----> the number
we know that
The phrase " The quotient of 30 and three times a number" is equal to divide the number 30 by the number x multiplied by 3
so
The algebraic expression is equal to
[tex]\frac{30}{3x}[/tex]
what is (28 + 7 + 6 + 3) X 1/2 PLEASE SHOW YOUR WORK
Answer: 22
Step-by-step explanation:
28 + 7 + 6 + 3 = 44
then multiply it and you end up with 44 over 2 and then you divide it, which is 22!
your answer would be 22.
-- first, do what is in the parenthesis
28 plus 7 is 35; 35 plus 6 is 41; 41 plus 3 is 44.
-- second, 1/2 is another word for splitting in half or dividing by 2. SO, do 44 divided by 2. you get 22.
i hope this helps! please mark brainliest x
A warehouse is for rent downtown. The rate is $15 per square foot per month. Space measures 40 ft x 22 ft. How much will it cost to rent this warehouse for a year?
Answer:
[tex]\$158,400[/tex]
Step-by-step explanation:
step 1
Find the area of the warehouse
[tex]A=(40)(22)=880\ ft^{2}[/tex]
step 2
Remember that one year is equal to 12 months
step 3
Find the cost to rent the warehouse for a year
Multiply the area by $15 per square foot per month and then multiply by 12 months
so
[tex]880(15)(12)=\$158,400[/tex]
Answer:
158,400
Step-by-step explanation:
1)Which choices shows the statement below in if-then form? Exercise makes you healthier.
A) if you don’t exercise ,then you won’t be healthier.
B) if you are healthy, then you exercise.
C) if you don’t exercise, you won’t be healthier.
D) if you exercise, then you will be healthier.
2) which of the following is a conditional statement for the following statement? Cardinals are red birds.
A) if a bird is not red, then it is not a cardinal.
B) if a cardinal is red, then it is a bird.
C) if a bird is red, it is a cardinal.
D) if a bird is a cardinal, it is red
Answer:
D for both
Step-by-step explanation:
Exercise is the condition and healthier is the outcome. So if you exercise then you will be healthier.
All cardinals are red. But not all red birds are cardinals. So d is the only one that is always true
1. if you exercise, then you will be healthier.
2. if a bird is a cardinal, it is red
What is Conditional Statement?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
Given:
Exercise makes you healthier.
So, we have to write in the form of if- then statement
Thus, the statement is if you exercise, then you will be healthier..
Now, for the second statement "Cardinals are red birds."
The conditional statement is if a bird is a cardinal, it is red.
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How many solutions does this linear system have?
y = 2x-5
_8x - 4y = -20
one solution: (-2.5, 0)
one solution: (2.5, 0)
Ono solution
O infinite number of solutions
Answer: C is correct, No solution
Step-by-step explanation:
Let’s simplify the second equation,
8x-4y=-20
We can divide the whole equation by 4...
8x/4-4y/4=-20/4
Which becomes....
2x-y=-5
Now let’s move things around to see if it’s the same equation as the one on top...
-y=-2x-5
y=2x+5
Now we need to solve the systems...
y=2x-5
y=2x+5
Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.
The solution set for the given system of linear equations is -
(2.5, 0).
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the number of solutions that the given linear system of equations have -
y = 2x - 5
- 8x - 4y = -20
We will solve the given system of equations using the method of substitution. We can write -
y = 2x - 5
- 8x - 4y = - 20
- 8x + 20 = 4y
y = - 2x + 5
Now -
2x - 5 = - 2x + 5
4x = 10
x = 2.5
and -
y = 2 x 2.5 - 5
y = 0
Therefore, the solution set for the given system of linear equations is -
(2.5, 0).
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Can someone please help me out ?
Answer:
The Answer is 9
Step-by-step explanation:
To find the answer you divide 63 by 7.
[tex]7m=63\\m=9[/tex]
Solve for x: -6 < x-1 < 9
Answer:
- 5 < x < 10
Step-by-step explanation:
Given
- 6 < x - 1 < 9 ( add 1 to each of the 3 intervals )
- 5 < x < 10
The value of x ranges from -5 to 10 as this inequality - 5 < x < 10.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given inequality is -6 < x-1 < 9. The value of x will be calculated as,
x- 1 < 9
x < 10
x- 1 > -6
x > 1 - 6
x > -5
Therefore, the value of x ranges from -5 to 10 as this inequality - 5 < x < 10.
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If f(x) = -4x2 - 6x-1 and g(x) = – x2 - 5x + 3, find (f+ g)(x).
Answer:
- 5x² - 11x + 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= - 4x² - 6x - 1 + (- x² - 5x + 3)
= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms
= - 5x² - 11x + 2
Answer:
-5x^2 -11x +2
Step-by-step explanation:
f(x) = -4x^2 - 6x-1
g(x) = – x^2 - 5x + 3,
Add them together
f(x) = -4x^2 - 6x-1
+ g(x) = – x^2 - 5x + 3,
-----------------------------------
-5x^2 -11x +2
Consider this equation. 5 8 x = 1 2 x + 2 Generate a plan to solve for the variable. Describe the steps you'll use.
Answer:
Sample Response: The goal is to get x alone on one side of the equals sign. First, isolate the variable by applying the subtraction property of equality to subtract 1/2x from both sides. Next, find a common denominator to combine like terms. Then use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. The result will be x = 16. Finally, check the solution by substituting 16 for x in the original equation.
Step-by-step explanation:
58x = 12x + 2
58x -12x = 2
46x = 2
x = 2/46 = 0.434
How Equations are Used in Real Life?
There are many situations in which equations can be used. Whenever an unknown quantity has to be found, an equation can be formed and solved.
What is an Equation?
An equality relationship between two expressions written on both sides of the equal to sign.
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What is the slope of the line represented by the values in the table?
(10,14) (2,-2)
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, 14) and (x₂, y₂ ) = (2, - 2)
m = [tex]\frac{-2-14}{2-10}[/tex] = [tex]\frac{-16}{-8}[/tex] = 2
Answer:
slope =2
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/(x2-x1)
= (-2-14)/(2-10)
= -16/-8
=2
3 +0.5(4a + 8) = 9 – 2a
Answer:
0.5
Step-by-step explanation:
The required simplified value of a is 1/2 .
Given that,
3 +0.5(4a + 8) = 9 – 2a
The simplified value of a is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3 +0.5(4a + 8) = 9 – 2a
3 + 0.5*4a + 0.5*8 =9 - 2a
3 + 2a + 4 = 9 - 2a
7 - 9 = - 4a
a = 1 / 2
Thus, the required simplified value of a is 1/2.
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Find the value of x in each case. Give reasons to justify your solutions!
answer ASAP
Answer:
x = 19
Step-by-step explanation:
YZ || XW, so ∠Y = ∠W
if ∠Y = ∠W, then ∠W = 2x
since the sum of the angles of a triangle is 180 degrees:
(3x-5) + 2x + 90 = 180
x = 19
Collin did the work to see if 10 is a solution to the equation r/4=2.4
Answer:
ill just cut to the chase it is c
Step-by-step explanation:
Answer:
b.Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.
Step-by-step explanation:
did the test
URGENT HELP NEEDED!!!
Answer:
60
Step-by-step explanation:
There are 5 different ways to choose the first class.
There are 4 classes left to choose from.
There are 4 different ways to choose the second class.
There are 3 classes left to choose from.
There are 3 different ways to chooses the third class.
5*4*3 = 60
What is the inverse of the function f(x) = 2x + 1?
Answer:
[tex]\large\boxed{f^{-1}(x)=\dfrac{1}{2}x-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x+1\to y=2x+1\\\\\text{exchange x to y and vice versa:}\\\\x=2y+1\\\\\text{solve for y:}\\\\2y+1=x\qquad\text{subtract 1 from both sides}\\\\2y=x-1\qquad\text{divide both sides by 2}\\\\y=\dfrac{x-1}{2}=\dfrac{1}{2}x-\dfrac{1}{2}[/tex]
What is the following simplified product? Assume
Answer:
The correct answer option is D. [tex]10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex].
Step-by-step explanation:
We are given the following expression:
[tex] \left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right ) [/tex]
Assuming that [tex]x\geq 0[/tex], we are to find its simplified product.
[tex] \left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right ) [/tex]
[tex]\\\\ = 2 \sqrt { 150 x ^ 8 } + \sqrt { 3 0 x ^ 7 }-2x\sqrt{75x^6}-x\sqrt{15x^5} \\\\ =2\sqrt{25\times6x^8}+x^3\sqrt{30x}-2x\sqrt{25\times3x^6}-x^3\sqrt{15x} \\\\ =10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]
The simplified product is:
[tex]10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]
Step-by-step explanation:The expression is given by:
[tex](\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})[/tex]
Now we know that:
[tex]\sqrt{x^2}=x\\\\and\\\\\sqrt{x^4}=\sqrt{(x^2)^2}=x^2[/tex]
Hence, we get the expression as follows:
[tex](\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})=(x^2\sqrt{10}-x\cdot x\sqrt{5})(2x^2\sqrt{15}+x\sqrt{3x})[/tex]
Now, we will use the property that:
[tex](a+b)(c+d)=a(c+d)+b(c+d)[/tex]
Hence, we have the expression as:
[tex]=x^2\sqrt{10}(2x^2\sqrt{15}+x\sqrt{3x})-x^2\sqrt{5}(2x^2\sqrt{15}+x\sqrt{3x})[/tex]
[tex]=2x^4\sqrt{10}\sqrt{15}+x^3\sqrt{10}\sqrt{3x}-2x^4\sqrt{5}\sqrt{15}-x^3\sqrt{5}\sqrt{3x}[/tex]
Now we know that:
[tex]\sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]
i.e. we have:
[tex]=2x^4\sqrt{150}+x^3\sqrt{30x}-2x^4\sqrt{75}-x^3\sqrt{15x}\\\\=2x^4\sqrt{5^2\cdot 6}+x^3\sqrt{30x}-2x^4\sqrt{5^2\cdot 3}-x^3\sqrt{15x}\\\\=10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]
The distance Din miles from an observer to the horizon over flat land or water can be estimated using the formula D-123/
where h is the height in feet of the point of observation. How far is the horizon for aperson whose eyes are 6 feet above the
ground?
a about 5.91 mi
c. about 3.01 mi
b. about 2.73 mi
d. about 7.64 mi
find the missing number so that it has no solution. __x-8-9x=-4x+8
Answer:
The missing number (i.e. the coefficient of x) is 5.
Step-by-step explanation:
5x - 8 - 9x = -4x + 8
-4x - 8 = -4x + 8
-8 ≠ 8
Solve P = 2l + 2w for l.
Answer:
l = [tex]\frac{P}{2}[/tex] - w
Step-by-step explanation:
P = 2l + 2w
2l = P - 2w
l = [tex]\frac{P}{2}[/tex] - w
Which of the following shows the polynomial below written in descending order? 4x2-x+8x6+3+2x10
Answer:
2x10 + 8x6 + 4x2 - x + 3
Step-by-step explanation:
it has the same numbers and variables. it is descending because it's starting from the the highest value or biggest variable then goes from greatest to least from there.
Answer:
[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
Step-by-step explanation:
The given polynomial is
[tex]4x^{2} -x+8x^{6}+3+2x^{10}[/tex]
A descending order refers to the position of terms, where the "higher term" has the greatest exponent (greatest grade), and we order from greatest to least to have a descending order, as follows
[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
Notice that the temrs are placed from greatest expoenent to least.
Therefore, the answer is [tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? units
Answer:15
Step-by-step explanation:
Answer: The radius of the given circle is 4 units.
Step-by-step explanation: We are given to find the radius of the circle with the following equation :
[tex]x^2+y^2-10x+6y+18=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the standard equation of a circle with center at the point (h, k) and radius r units is given by
[tex](x-h)^2+(y-k)^2=r^2.[/tex]
From equation (i), we have
[tex]x^2+y^2-10x+6y+18=0\\\\\Rightarrow (x^2-10x+25)+(y^2+6y+9)-25-9+18=0\\\\\Rightarrow (x-5)^2+(y+3)^2-16=0\\\\\Rightarrow (x-5)^2+(y-(-3))^2=4^2.[/tex]
Comparing it with the standard equation, the radius of the circle is given by
[tex]r=4.[/tex]
Thus, the radius of the given circle is 4 units.