Can anyone write the equation of this graph?
The absolute value equation graphed is defined by the rule given as follows:
y = |x - 3| + 6.
What is the function graphed?The function graphed is an absolute value equation, due to it's v format.
The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:
y = |x - h| + k.
On the graph, this vertex is the turning point of the absolute value function.
For the graphed function, the coordinates of the vertex are given as follows:
x = 3, as the turning point of the graphed function has an horizontal coordinate of 3, hence h = x = 3.y = 6, as the turning point of the graphed function has a vertical coordinate of 6, hence k = y = 6.Then the coordinates of the vertex are:
(3,6).
The equation of the graphed absolute value function is:
y = |x - 3| + 6.
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Angie bikes for 20 minutes burning 150 calories. How many calories will he burn if he bikes for 25 minutes
Answer:
I think it's 187.5
Step-by-step explanation:
I divided 150 by 20 and got 7.5.
i multiplied 7.5 by 25 and got 187.5
Hop this is correct and helps you.
Each costume for a dance group in a talent show requires 2 yards of black material and 3 yards of red material. The dance group has 30 yards of black material and 60 yards of red material.
What is the greatest number of costumes they can make?
The greatest number of costumes the dance group can make is 15.
What is the greatest number of costumes they can make?The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
The first step is to determine the number of costumes that can be made given the total yards of black material.
Total costumes that can be made = total length available / length required for each costume
30 / 2= 15
The second step is to determine the number of costumes that can be made given the total yards of red material.
Total costumes that can be made = total length available / length required for each costume
60 / 3 = 20
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show your work using standard athgorithm
What are the missing segment lengths shown in the image?
The length of the missing ,line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
In the question ,
a figure is given , we have to find the length of the missing line segments .
From the given figure
the Δ ACD is a right triangle ,
given that ∠A and ∠D are equal
so , their corresponding length AC and CD will be equal , that is AC = CD
So , By Pythagoras Theorem
AC² + CD² = AD²
2*AC² = AD²
2*AC² = (20)²
2*AC² = 400
AC² = 400/2 = 200
AC = √200
AC = CD = 10√2
The triangle ABC is also right triangle
and ∠A and ∠C are equal
so , their corresponding length AB and BC will be equal , that is AB = BC
So , By Pythagoras Theorem
AB + BC = AC
2*AB² = AC²
2*AB² = (10√2)²
2*AB² = 200
AB² = 200/2 = 100
AB = √100
AB = 10 = BC
Therefore , The length of the missing line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
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resolver por método de Cramer
1/2x+2/3y=6
-4x+3/5y=8
ayuda
Add (7x^3-2x^2-5x+6) (2x^3+3x^2-x-1)
a) 9x^3+x^2-6x+5
b) 9x^6+x^4+5x^2-6
c)9x^3-x^2-6x+5
d)14x^3-6x^2-5x-6
Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]
Equation given,
Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]
Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]
Adding Eq 1 + Eq 2,
[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]
[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]
[tex]9x^{3}+ x^{2}-6x+5[/tex]
Hence, the answer.
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Why are most streets designed in a way that they are perpendicular or parallel to each other? ...
The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.
What is meant by perpendicular and parallel streets?A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.
That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.
So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.
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The roof of a farm silo is the shape of a hemisphere and is made of sheet tin. If the diameter of the silo is 126.5 feet, how
much sheet tin is needed to make the roof? (Use π = 3.1416.)
A. 25,136.3 square feet
B. 25,026.6 square feet
C. 16,755.2 square feet
D. 33,510.2 square feet
The area of tin sheet needed to make the roof is 25,136.3 square feet.
The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :
A = 2πr² = 2*3.1416*(63.25)² = 25,136.3
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A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
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ABCD is parallelogram. AED, CED and BCF are straight lines Find AED , DEF and CFE
By using the properties of parallelogram, it can be calculated that
[tex]\angle CFE = 30^{\circ}[/tex]
[tex]\angle[/tex]DEF = 70°
[tex]\angle AED = 110^{\circ}[/tex]
What is a parallelogram?
Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.
Here, ABCD is a parallelogram
[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]
[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]
[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]
[tex]\angle[/tex]DEF = 180 - 110 [ Angle on a straight line]
= 70°
[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]
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Need help im so confused
please and thank you
Answer: It is b
Step-by-step explanation:
Answer: 126.5
Step-by-step explanation:
This is Pythagoras theorem so a² + b² = c²
c² is always the diagonal bit
The soccer field is rectangle and draw the route of the players on and you get the triangle
a = 120
b = 40
c² = a² + b² (square root after)
120² + 40² = 16000
Then square root that to get 126.5
I hoped this helped so please thank and rate :)
Can anyone write the equation of the graph?
The graph shows the absolute value function.
y = |x - 3| + 5
How to identify the function in the graph?First, we can see that the shape of the graph is a "V", so we have an absolute value function.
We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form
y = |x - a| + b
Notice that the above function has a vertex at (a, b)
And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:
y = |x - 3| + 5
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32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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A recipe requires 4 1/2 cups of milk for every 2/3 of a cup of flour. What is the ratio of cups of milk to one cup of flour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!
John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?
Answer: D) 7
Step-by-step explanation:
First put this into an equation as shown
f(x)=10x
The 10 is for the money he makes and the x is the amount of weeks
then take the 35 dollars he already saved and put it into an equation as shown
35+f(7)
the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)
7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.
Hope that helped. It may have been a bit complicated.
Answer:5
Step-by-step explanation:
10x7=70
35+70=105
HELP!!!!!
A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
17,576,000 possible license plates
1,757,600 possible license plates
36 possible license plates
98 possible license plates
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
The number of possible license plates
= 26×26×26×10×10
= 1757600
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
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In ΔSTU, TU = 11, US = 17, and ST = 18. Which statement about the angles of ΔSTU must be true?
For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
As given in the question,
In the given triangle STU,
TU = 11
US = 17
ST = 18
we can see that
TU < US < ST
⇒ 11 < 17 < 18
⇒ 11 + 17 = 28
⇒ 28 > 18
All the sides of the triangle are not equal to each other.
This implies that all the angles opposite to the unequal sides are also not equal to other.
Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
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The theater director recorded the number of seats occupied at past performances and the total revenue per
performance.
After plotting her results, the director noticed that the relationship between the two variables was fairly linear,
so she used the data to calculate the following least squares regression equation for predicting the total
revenue, in dollars, from the number of seats occupied.
= -325 + 143
What is the residual of a performance with a revenue of $700 and 70 seats occupied ?
The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.
What is the residual of the performance?From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.
The equation is given as:
y = -325 + 14x
y = actual performance for 70 seats occupied
For x = 70
y = -325 + 14x
= 325 + 14(70)
= -325 + 980
= 655
Therefore, the residual will be:
= 700 - 655
= 45
The residual is 45.
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I”M GIVING BRAINLIEIST OR WHATEVER TO WHO EBER EXPLAINS THE BEST
Answer:-3
Step-by-step explanation:
What is the answer to this question: 3y^2+4ab+7y^2+ab
Complete the paragraph
The missing terms for the congruent angles are;
Complementary angles
m∠1 + m∠3 = 90°
Transitive property of equality
Subtraction property of equality;
Congruent angles.
How to identify congruent angles?Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.
We are given that;
∠1 and ∠2 are complementary
∠1 and ∠3 are complementary
Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.
Similarly, m∠1 + m∠3 = 90°
By the transitive property of equality, we can say that;
m∠1 + m∠2 = m∠1 + m∠3
By the subtraction property of equality;
m∠2 = m∠3
Thus;
∠2 = ∠3 by definition of congruent angles.
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Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have?
Please provide a detailed explanation and steps on how to do
If he has 7 more nickels than dimes. The number of quarters that Warren have is 7.
How to determine the number of quarters?Let coins be:
n + d + q = 40
Where;
n = nickels
d =dimes
q = quarters
Hence,
.05n + .10d + .25q = 4.05
n = d + 7
Substitute (d+7) for n
(d+7) + d + q = 40
2d + q = 40 - 7
2d + q = 33
q = (33-2d)
So,
.05(d+7) + .10d + .25q = 4.05
.05d + .35 + .10d + .25q = 4.05
15d + .25q = 4.05 - .35
.15d + .25d = 3.70
Substitute (33-2d) for q
.15d + .25(33-2d) = 3.70
.15d + 8.25 - .5d = 3.70
.15d -.5d = 3.70 - 8.25
-.35d = -4.55
Divide both side by -/35d
d = -4.55 / -.35
d = 13 dimes
Nickels
n = d+7 where d is 13
n = 13 + 7
n = 20 nickels
Quarters
q = (33-2d)
q = 33 - 2(13)
q = 33 - 26
q = 7 quarters
Therefore 7 is the quarters.
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What is greater 1 1/2 or 1.456
Answer:
KentuckyCriedChickens
Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?
Answer:
None
Step-by-step explanation:
When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.
The fraction of coal left in the bag was zero or none since Tom used the remaining coal.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.
As per the given,
After one week the bag was 2|3 full
Now remaining coal = 1 -2/3 = 1/3 part
Now, Tom used this remaining amount.
So, 1/3 - 1/3 = 0 part.
Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".
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What is the inequality of the graph below?
The inequality of the graph represented in the figure is y ≥ 1/2x
How to determine the inequality of the graph?The graph represents the given parameter
On the graph, we have the following points
(x, y) = (0, 0) and (2, 1)
This can be re-expressed as
(x, y) = (2, 1)
The slope is then calculated as
Slope = y/x
This gives
Slope = 1/2
The equation is then calculated as
y = Slope * x
So, we have
y = 1/2x
On the graph, we can see that the upper part of the graph is shaded and the line is a thick line
This means that the inequality expression is ≥
So, we have
y ≥ 1/2x
Hence, the inequality of the graph is y ≥ 1/2x
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Ken can walk 40 dogs in 8 hours. How many dogs can Ken walk in 1 hours?
Answer:
5
Step-by-step explanation:
divide.
The candy jar is only 1/4 full and all three brothers want an equal share. What fraction of the candy jar should each brother get?
Answer: 1/12
Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.
its an algebra problem i need help soon
perp. is perpendicular
The slope-intercept form of the equation of the line is y = 2/3(x) - 4
How to determine the slope-intercept form of the equation of the line?Given that: the unknown line passes through (0, -4) and it is perpendicular to y= -3/2(x) + 1
The slope-intercept form of a straight line is:
y = mx + c,
where m is the slope and c is the y-intercept
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ × m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
y = -3/2(x) + 1 and m₁ = -3/2
m₁ × m₂ = -1
-3/2 × m₂= -1
m₂ = 2/3
Line 2(unknown) with the point (0, -4):
y = mx + c (x = 0 and y = -4)
-4 = 3/2(0) + c
c = -4
y = 2/3(x) - 4
Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4
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0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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