The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
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The science club is selling homemade cookies to raise money for a field trip. The club members know that 12 dozen cookies
uses 3 pounds of flour. Use that information solve each part below. Homework Help
a. How much flour is needed for 18 dozen cookies?
b. How many cookies can be made with 10 pounds of flour?
The flour needed for 18 dozen cookies is 4.5 pounds.
The number of cookies that can be made with 10 pounds of flour is 40 cookies.
How much flour is needed?The first step is to determine the flour needed for 1 dozen cookies.
Flour needed = 3/12
Flour neeeded for 18 dozens = 3/12 x 18 = 4.5 pounds
How much cookies can be made?
The first step is to determine the number of cookies that can be made with one pound of flour:
12/3 = 4
Number of cookies that can be made iwth 10 pounds of flour = 4 x 10= 40 cookies
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A cashier samples the transaction of every 10th person who goes through the line at a craft store. Out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?
Find the distance between the points.?
Help 40 points!!!
Answer:
34
Step-by-step explanation:
Distance - formula
Answer:
34
Step-by-step explanation:
best to use the formula: √(X1-X2)²+(Y1-Y2)²
(If u want to know why, it's determinated by pithagoras' theory.)
=>√(30-0)²+(16-0)²=√900+256=√1156=34
select the correct answer from each drop-down menu.
A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use. What is the area of the tarp?
To find the height, first find that is
. This means the height of the trapezoid is approximately
feet. So, the area of the tarp is approximately
square
The height of the trapezoidal is 4.33 feet. Then the area of the tarp to cover the pool is 51.96 square feet.
What is a trapezoidal?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoidal, one pair of opposite sides are parallel.
A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use.
Then the area of the trapezoidal will be
Area = 0.5(sum of parallel sides) height
Then the height of the trapezoidal will be
[tex]\rm h = 5 \times \sin 60 \\\\h = 4.33 \ ft[/tex]
Then the area of the trapezoidal will be
Area = 0.5 × (10 + 12) × 4.33
Area = 51.96 ft²
The area of the tarp to cover the pool is 51.96 square feet.
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Answer:
1. 120 degrees
2. 4.3
3. 47.3
Step-by-step explanation:
PLATO/EDMENTUM
What's the area for ABC?
Answer:
14
Step-by-step explanation:
7(length) times 4(height) equals 28
28/2= 14
how to compare 10.5 to 11 and 19
Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
WHat is the correct answer?
Answer:
9 ft.
Step-by-step explanation:
Rectangular Prism’s Volume:
[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]
Given:
width = 2.1 ft
length = 4 ft
height = j
volume = 75.6 cubic feet
Therefore, apply given information in the formula:
[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]
Divide both sides by 8.4 to solve for j.
[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]
Henceforth, the value of j is 9 feet.
what fraction of 1/2 square centimeter is 1/2 centimeter square
Answer:
1/2
Step-by-step explanation:
The ratio of interest is ...
(1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2
One-half centimeter squared is half of 1/2 square centimeter.
What is the slope ( it has a slope of -2) (it has a slope of -1) (it has a slope of 2)
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line
m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2
Answer:
[tex]slope = -2[/tex]
Step-by-step explanation:
Step 1: Determine two points
We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)
Step 2: Determine the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 0}{-1 - 0}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m = -2[/tex]
Answer: [tex]slope = -2[/tex]
A sequence can be generated by using a,n = a,n (-1) + 2, where a,1 = 6 and n is a whole number greater than 1.
What are the first 5 terms in the sequence?
A.) 6, 12, 24, 48, 96
B.) 2, 8, 14, 20, 26
C.) 2, 12, 72, 432, 2592
D.) 6, 8, 10, 12, 14
This year a total of 2,185 seventh and eighth grade students attended the junior high school one thousand forty three students are seventh graders how many students are eighth graders
Answer:
1142
Step-by-step explanation:
(all)2185-(7th)1043=1142(8th)
Find the slope of the line that is parallel and perpendicular to the following equation.
y + 4 = -3(x +1)
Answer:
Parallel: -3
Perpendicular: 1/3
Step-by-step explanation:
First I would convert the equation into slope-intercept form to more easily identify the slope:
[tex]y+4=-3x-3\\ y=-3x-7[/tex]
Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.
When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.
Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.
Answer:
parallel slope = -3
perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]
Explanation:
y + 4 = -3(x +1)y + 4 = -3(x) - 3y = -3(x) - 3 - 4y = -3x - 7comparing with y = m(x) + b [ "m" is the slope, "b" is the y-intercept ]
slope: -3y-intercept: -7Parallel/Tangent slope:
m₁ = m₂ (same)
Perpendicular/Normal slope:
m₁ * m₂ = -1 (negatively reciprocal)
⇒ Here parallel slope:
m = -3⇒ Here perpendicular slope:
-3 * m₂ = -1m₂ = -1/-3m₂ = 1/3what is another formula for finding the rate of discount?
Answer:
Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.
Step-by-step explanation:
Which is the equation of a line that has a slope of -5 and a y-intercept of -3? Show me how you arrived at your answer.
a) 2y = -5x - 3
b) -2y = 10x - 6
c) -2y = 10x + 6
d) 2y = 10x - 6
Answer:
c) -2y = 10x + 6
Step-by-step explanation:
The equation of a line in slope-intercept form is:
[tex]y=mx+b[/tex]
The variables stand for:
[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]
Plugging in the given information into the equation:
[tex]y=-5x+(-3)\\y=-5x-3[/tex]
Go through the answer choices:
a) 2y = -5x - 3
Divide both sides of the equation by 2
[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]
b) -2y = 10x - 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]
c) -2y = 10x + 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]
d) 2y = 10x - 6
Divide both sides of the equation by 2
[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]
Therefore the answer is c) -2y = 10x + 6
Additional Comments:
We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.
any help would be appreciated.
Answer:
10.4
Step-by-step explanation:
cosine rule=[tex]a^{2}=b^{2} +c^{2} -2bc*cosa[/tex]
[tex](2\sqrt{3}) ^{2}=(x+2)^{2} +x^{2} -2(x+2)x*cos60\\12=x^{2} +4x+4+x^{2} -2x^{2} -4x*\frac{1}{2}\\2x-8=0\\x=4\\Area=\frac{1}{2}absinc\\ = \frac{1}{2}*6*4*sin60\\\\ =6\sqrt{3}\\=10.4(3 sig.fig)[/tex]
The swiss mathematician leonhard euler and the french mathematician rene descartes both discovered a pattern in the numbers of edges, vertices, and faces of polyhedrons. solve problems 810.
Answer:
I am stuck on this two
Step-by-step explanation:
rectangle, 6 8 14 12
Solve by factorisation
2x²+3x-20=0
Answer:
x=5/2 x=-4
Step-by-step explanation:
2x^2+3x-20 = (2x-5)*(x+4)
2x-5 = 0 x=5/2
x+4 = 0 x=-4
Answer: X= -4
Step-by-step explanation:
Ursula is starting a new national network of science fiction book clubs. The establishment and expansion of the network is as follows. The original network began with eight people in each club and four clubs in each of two states. Every month, the number of people in each club increases by two and the number of clubs in each state grows by one. The number of states where the groups exist also increases by one every month. The total number of people in the network of book clubs is represented by the expression below, where x is the number of months since the clubs were established.
Using derivatives, it is found that the correct option is given by:
A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.
What is the meaning of the derivative of a function?It is the rate of change of the function over a period of time.
In this problem, the total number of people in the book club after x months is given by:
f(x) = 2x³ + 20x² + 64x + 64
The derivative is given by:
f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).
It represents the average rate of change across all states, hence option A is correct.
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Abby has four pieces of ribbon for a project. The lengths of the ribbons are 3.7 cm, 2.9 cm, 2.6 cm, and 3.5 cm. What is the measure of the shortest ribbon?
3.7 cm
2.9 cm
2.6 cm
3.5 cm
Answer:
2.6 cm is the correct answer
Step-by-step explanation:
Answer:
2.6 cm
Step-by-step explanation:
it is the shortest
A line passes through the point (-8,5) and has a slope of -3/4 .
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
Formula
The basic formula is
y = mx + b
m = the slope
b = the y intercept
What you know so far
y = mx + b.
You know that the slope = -3/4
y = - 3/4 x + b
y intercept
The point is used to find the y intercept.
x = - 8
y = 5
Subtitute these two values into the equation above.
5 = -3/4 * (-8) + b Multiply the factors on the right
5 = 6 + b Subtract 6 from both sides
5 - 6 = b Combine
-1 = b
Answer: y = -(3/4) x - 1
Answer:
[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]
Step-by-step explanation:
Use the slope-intercept form.
Slope-intercept form:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
The m represents the slope.The b represents the y-intercept.X= (-8)
Y= 5
[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]
5=6+b
Subtract the sign.
5-6=b
Solve.
Isolate the term of b from one side of the equation.
Subtract the numbers from left to right.
⇒ 5-6=-1
⇒ -1=b
Change the equation.
⇒ b=-1
So, therefore, the y-intercept is -1.
[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]
Therefore, the correct answer is y=-3/4x-1.I hope this helps! Let me know if you have any questions.
The major key with 2 flats is the key of _____. f major e♭ major a♭ major b♭ major *subject is music*
The major key with 2 flats is :
B♭ major
Answer:
The key of B♭ major has two flats
Step-by-step explanation:
An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.
Hope this helps
~Heaven~
4 1/3-1 1/4
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
A. 5
B. 3
C. 3 1/2
D. 3 1/12
Answer:
D. 3 1/12
Explanation:
[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]
convert into improper fraction
[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]
make the denominators same. 12 is the common factor of both 3 and 4
[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]
join both fraction
[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{37}{12}[/tex]
convert into mixed fraction
[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]
Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A'?
Question 8 options:
(2, 4)
(-2, 4)
(4, 5)
(6, 12)
Answer: (2, 4)
Step-by-step explanation: If it is reflected over the x-axis then the coordinates of A is (2, 4)
Label the missing angle on this window.
Answer:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
The radius of circle a is 6 in. the radius of circle b is 5 in. greater than the radius of circle a. the radius of circle c is 5 in. greater than the radius of circle b. the radius of circle d is 2 in. less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d?
Answer:
Step-by-step explanation:
Times New Roman has tiny lines at the tips of letters, creating an appearance of old-style writing with a fountain pen. Those tiny lines are called _____.
Han and Priya want to know the mean height of the 30 students in their dance class. • The mean height for Han’s sample is 59 inches. • The mean height for Priya’s sample is 61 inches.
Answer:
60 inches
Step-by-step explanation:
Add 59+61 =120 which you divide by 2 for the mean of 60.
A figure was flipped over the y-axis and then
enlarged three times the original size. Which
transformations were use
a.) reflection over y-axis b.) translation
C.) dilation
d. rotation
Answer:
Below.
Step-by-step explanation:
a) reflection over y-axis.
b) dilation.
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
[tex] \mathbb\red{4\:turning\:points} [/tex]
Transform the solid black function to match the dotted function.
y= Voc
I f(x+
fx- +
O
+
o
у
LO
9
00
8
N
6
5
4
3
2
1
1
-18 9 8
-6 54
-3
2
1
N
-1
-
3
4
in
X
5
7
8
9 to
N
3
3
4
5
in
-6
-8
9
9
-10
Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
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