Answer:
all the angles of the pentagon do not add up to 540
Step-by-step explanation:
total degree in a shape
180 × (n-2) where n is the number of side
a pentagon has 5 sides so
180 × (5-2)
= 540
100+105+72+126+127= 530
all the angles of the pentagon do not add up to 540
what is 3-5b=-32 in algebra
Answer:
b=7
Step-by-step explanation:
3-5b=-32
-5b=-32-3
-5b=-35
Divide both sides by -5
b=7
( I also had trouble with these kind of expressions)
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall is 3.05m
How to calculate the measurement of the water level after the rainfall ?
The water level in colorado river is 2.55m below average
A larger rainfall happened and the water level rose by 0.8m
Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8
= 2.55 + 0.8
= 3.05
Hence the water level after the rainfall is 3.05 m
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write an equation for the following math sentence
one fourth times the difference of ten and a variable
Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'
We need to write an equation for the given math sentence.
Given math sentence: one fourth times the difference of ten and a variable
Let the variable be 'x'
We rewrite above statement as,
one fourth times the quantity ten minus x
⇒ 1/4 × (10 - x)
so, we get an expression 1/4 (10 - x)
Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
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A car can be rented for $95 per week plus $0.20 per mile. How many miles can be driven if you have at most $370 to spend for weekly transportation?
Answer:
1375 miles
Step-by-step explanation:
0.20x+95=370
0.20x=275
x=1375
Is the function even, odd, or neither? Explain your reasoning.
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4+8=12 and 1+8=9 is kareem correct? explain how you know.
No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.
Here,
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.
Because 4+8=12 and 1+8=9.
We have to find that Kareem is correct or not.
What is a ratio?
Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Now,
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.
Calculate the ratio as;
12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3
So,
12 / 9 = 4 / 3
Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.
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Please help 11 points add 11/3 + (-5/6) using the number line. select the location on the number line. select the location on the number number line to plot the sum.
The value of 11/3 + (-5/6) using the number line is 17/6.
Number line:
The number line is a visual representation of numbers on a straight line.
In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
Here we have to add the values 11/3 + (-5/6) by using the number line.
To solve this one,
First we have to convert the fractions into decimals,
So, the decimal equivalent of
11/3 = 3.6
-5/6 = -0.8
So, the addition of these two is
=> (11/3) + (-5/6)
=> 3.6 + (-0.8)
=> 2.8
The fraction of the number is
=> 2.8 = 17/6.
This can be expressed in the following number line.
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Calculus Derivative Question
(a) Differentiate [tex]s(t)[/tex] to get the velocity.
[tex]s(t) = \cos(t^2 - 1)[/tex]
Use the chain rule.
[tex]u = t^2 - 1 \implies \dfrac{du}{dt} = 2t[/tex]
[tex]s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)[/tex]
[tex]\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}[/tex]
(b) Evaluate the derivative from (a) at [tex]t=0[/tex].
[tex]\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}[/tex]
(c) The object is stationary when the derivative is zero. This happens for
[tex]-2t \sin(t^2 - 1) = 0[/tex]
[tex]-2t = 0 \text{ or } \sin(t^2 - 1) = 0[/tex]
[tex]t = 0 \text{ or } t^2 - 1 = n\pi[/tex]
(where [tex]n[/tex] is any integer)
[tex]t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}[/tex]
We omit the first case. In the second case, we must have [tex]n\ge0[/tex] for the square root to be defined. Then in the given interval, we have two solutions when [tex]n=\in\{0,1\}[/tex], so the times are
[tex]t_1 = \sqrt{1} = \boxed{1}[/tex]
[tex]t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035[/tex]
(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as
• intercepts (solve [tex]s(t)=0[/tex] to find [tex]t[/tex]-intercepts and evaluate [tex]s(0)[/tex] to find the [tex]s[/tex]-intercept)
• intervals where [tex]s(t)[/tex] is increasing or decreasing (first derivative test)
• intervals where [tex]s(t)[/tex] is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of [tex]s(t)[/tex], which you can see in the plot agrees with the critical points found in (c))
Find the distance between each pair of points
(2,-8) and (5,-6)
(-6,3) and and (5,6)
(1,5) and (7,-3)
(-1,4) and (0,-4)
(1,-3) and (-7,-4)
(-7,-6) and and (1,0)
(-3,-5) and and (-1,-8)
(1,8) and (-6,-1)
(2,-8) and (-4,-1)
Step-by-step explanation:
x1=2 , y1= -8
x2=5 , y2=-6.
distance= rootunder x2-x1 whole square + y2-y1 whole square
=(5-2)whole square + (-6-(-8)) whole square
= root under 9+4
=rootunder 13 units
is this false, i think maybe because you cant factor the right side. am i right
Answer:
its true
Step-by-step explanation:
If (m-1÷m)=3 , find the value of m^3 - 1÷m^3
The value of given equation i.e. [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]
Given a equation i.e.[tex]\frac{m-1}{m}[/tex]=3 and asked to calculate the value of the equation [tex]m^{3} -\frac{1}{m^{3} }[/tex]
To calculate the value of [tex]m^{3} -\frac{1}{m^{3} }[/tex] , Need to use various operations like subtraction and division)
Given .[tex]\frac{m-1}{m}[/tex]=3
⇒m-1=3m ( cross multiplies 3 and m)
⇒2m=-1( subtraction is used)
⇒m=-[tex]\frac{1}{2}[/tex]( division is used)
Thefore the value of m in the given equation i.e.[tex]\frac{m-1}{m}[/tex]=3 is -[tex]\frac{1}{2}[/tex]
⇒ [tex]m^{3} -\frac{1}{m^{3} }[/tex]
Here the value of m =-[tex]\frac{1}{2}[/tex]
Substituting the value of m in the given equation
⇒[tex](\frac{-1}{2} )^{3}[/tex]-[tex](-2)^{3}[/tex]
⇒[tex]\frac{-1}{8}[/tex]+8(addition is used)
⇒[tex]\frac{64-1}{8}[/tex]
⇒[tex]\frac{63}{8}[/tex]
Therefore, the value of the given equation i.e. [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]
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n the experiment of the preceding exercise, the subjects were randomly assigned to the different treatments. men with high blood pressure are assigned at random to one of four diets: (1) normal diet with unrestricted salt; (2) vegetarian with unrestricted salt; (3) normal with restricted salt; and (4) vegetarian with restricted salt. what is the most important reason for this random assignment?
Two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
What is the difference between the Non-restricted and the restricted course?
The majority of shotguns and rifles can be bought, sold, or registered with a non-restricted weapons license. The most popular handguns can be bought, sold, and registered with the restricted firearms license.We have diet two types: normal and veg
salt: restricted and non-restricted
Hence,
option(C) two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
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A farmer uses five bushels of strawberries to make a large batch of jam. the jam is poured into 20-ounce jars. to transport the jam to the market for sale, the farmer uses crates that hold 16 jars. if a bushel is equivalent to 64 pints, how many crates will the farmer need for this batch of jam?
Opposite sides are congruent.
Diagonals are perpendicular.
Exactly one pair of opposite angles are
congruent.
Diagonals are congruent.
Diagonals bisect opposite interior angles.
Consecutive interior angles are
supplementary.
Answer:
Diagonals linse
Step-by-step explanation:
HELPPP I’ll mark you BRAINLIST if it’s right
Answer:
is 0 is the right answer of this??
Answer: The factored answer for 36c - 81 is 9(4c−9)
Step-by-step explanation:
Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.
What is 8-6= for the sum
The value and the summation expression are 2 and -6 + 8
How to determine the value and the summation expression?The expression is given as:
8 - 6
When expressed as a sum, the expression can be rewritten as
-6 + 8
When the expression is evaluated, we have
-6 + 8 = 2
Hence, the value and the summation expression are 2 and -6 + 8
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What is “Three less than twice a number x is less than twenty “?
Answer:
3-x^2-20
Step-by-step explanation:
That is how you convert it from word form to standard form.
The number of students in the four sixth-grade classes at Northside School are 36,19,34, and 21. Use properties to find the total number of students in the four classes. PLEASE HELP I DONT UNDERSTAND!
Find all the zeros of the quadratic function.
y=x^2+ 8x + 12
If there is more than one zero, separate them with commas.
If there are no zeros, click on "None".
Answer:
x=-2, -6
Step-by-step explanation:
factor the expression
y=x^2+ 8x + 12
y= (x+2)(x+6)
set the equation equal to 0, since you are finding zeros, or solutions
0=(x+2)(x+6)
split the equation into two parts
0=(x+2) and 0=(x+6)
solve the equations
you should get 2 zeros
x=-2, -6
The students in art class have blue cloth that's 60 inches long, glod cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal lenght for a project.
What is the greatest lenght of the pieces without having any cloth leftover? explain your reasoning.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 26, 29, 27, 28, 29, 27, 27, 53, 25, 29
The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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Find the largest possible area for a rectangle with base on the x-axis and both upper vertices are on the curve y=11-x^2
The largest area of rectangle can be A= (11√11)/√2
What is area of rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Area = l × w. l = length. w = width.
Given:
y=11-x²
Consider,
x is the length of the base
y is the vertices on the curve (width)
As, the area of a rectangle with its base on the x-axis.
So, base =2x
Then Area of rectangle
A = 2x(11-x²)
Foe maximum area, dA/dx=0
dA/dx = 22-4x²
22-4x² =0
22=4x²
11/2 = x²
x=√(11/2)
Now, Put x=√(11/2) in area
A= 2*√(11/2) ( 11-11/2)
A= √22(11/2)
A= (11√11)/√2
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Givien g(x) = -3x-5 , find g(4)
Answer: g(4)=-17
Step-by-step explanation:
You just plug in 4 into x.
-3(4)-5
-12-5
=17
Answer:
g(4) = -17
Step-by-step explanation:
Hello!
Substitute 4 for x in the equation.
Evaluateg(x) = -3x - 5g(4) = -3(4) - 5g(4) = -12 - 5g(4) = -17g(4) is -17.
If you roll a standard 6 sided die and you get paid $1 for every spot it lands on (so if you roll a 5 that would mean $5), what's the average payout for one roll?
Answer:
20
Step-by-step explanation:
19.6 is 24.5% of what number?
- For 11 points
Answer:
80
Step-by-step explanation:
[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]
19.6 is 24.5% of 80
Answer:
24.5% of 80= 19.6
Step-by-step explanation:
24.5% of what number is equal to 19.6
24.5
____ x = 19.6
100 100
x = 19.6 x ____
24.5
= x =80
HOPE IT HELPS
8w-6(w-4)=2(w+9)
please help asap
Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
a3 = 125 solve (Type integers or simplified fractions.)
Answer:
41.666 =~41.67
Step-by-step explanation:
3a=125
a=125÷3
a=41.67
Answer:
41.667
Step-by-step explanation:
3a=125
a= 125/3
a=41.667
What does the pair of equations y = 1, z = 8 represent? in other words, describe the set of points (x, y, z) such that y = 1 and z = 8. a plane
The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.
What is the equation of a line in a plane?The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.
Given: Equations of the lines:
y = 1z = 8To find: description of the points (x, y, z) in the plane.
Finding:
According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.
The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.
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I need this answer ASAP I will for real pay you just please help me out
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall in the Colorado River is 3.35 meters.
How is the water level determined?The water level after the rainfall can be determined using the mathematical operation of addition.
A mathematical operation changes the output value of some input values.
For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.
Data and Calculations:The average water level in the Colorado River = 2.55 m
Increase in water level following the large rainfall = 0.8 m
New water level after the rainfall = 3.35 M (2.55 + 0.8)
Thus, the water level after the rainfall in the Colorado River is 3.35 meters.
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The table represents a function.
X
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Which value is an output of the function?
-6
-2
07
Answer:
- 2
Step-by-step explanation:
The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.
All the others are values for x so they are inputs to the function