Answer:
126 cans in total / 6 cans per row
126/6 = 21 rows of cans
I need help with question 7 part (ii)
Answer:
18 years old
Step-by-step explanation:
H=17- A/
H=8hours
8=17- A/
-9=- A/
A=18years
5.
Find the coordinates of B, C, and D given that AB = 5 and BC
= 10.
The coordinates of B, C, and D are (3,-5), (3,5), and (-7,5) respectively.
Given point A (-2,-5) and the lengths of the sides AB = 5 and BC = 10, we can use this information to determine the coordinates of B, C, and D.
Using the information provided, we know that B is 5 units away from A in the positive x-direction. Therefore, the x-coordinate of B is (-2) + 5 = 3 and the y-coordinate of B is the same as that of A, which is -5. So point B is (3,-5).
Next, we know that C is 10 units away from B in the positive y-direction. Therefore, the x-coordinate of C is the same as that of B, which is 3, and the y-coordinate of C is (-5) + 10 = 5. So point C is (3,5).
Finally, we know that D is 10 units away from C in the negative x-direction. Therefore, the x-coordinate of D is 3 - 10 = -7 and the y-coordinate of D is the same as that of C, which is 5. So point D is (-7,5).
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The question is -
Find the coordinates of B, C, and D given that AB = 5 and BC = 10 where A = (-2,-5).
Can someone please help me on this ASAP?!
A graph is said to represent a function if a vertical line drawn anywhere on the graph of a relation only intersects the graph once by Slope of 3.75b + 5: 3.75
How do you know that a graph represents a function?A graph is said to represent a function if and only if any vertical line intersects it at one precise location. The vertical line only ever crosses the graph D, as seen when looking at the graphs.The graph does not represent a function if a vertical line can cross it at two or more places.In order to represent a function, you often use a function rule, such as y=2.50x, where x is the independent variable and y is the dependent variable. By creating a graph, you may visualize your function. Making a table of inputs and their matching outputs before creating a graph is the simplest way to create a graph.Example:
F(b) = 3.75b + 25
Axis interception points of 3.75b + 25:
X intercepts :(-20/3).
Y intercepts :(0.25)
Slope of 3.75b + 5:
3.75.
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The given point lies on the terminal side of an angle θ in standard position. Find the values of the six trigonometric functions of θ. 3. (−4, −3)
The six trigonometry ratios are:
sinθ = 3/5, cosθ = 4/5, tanθ = 3/4, cotθ = 4/3, secθ = 5/4, cosecθ = 5/3
The point is (4, 3).
Perpendicular = 3
Adjacent Side = 4
Using the Pythagorean Theorem we find the value of Hypotenuse.
h = [tex]\sqrt{4^2 + 3^2}[/tex]
h = √(16 + 9)
h = √25
h = 5
The value of six trigonometric functions are
sinθ = Perpendicular/Hypotenuse
sinθ = 3/5
cosθ = Adjacent Side/Hypotenuse
cosθ = 4/5
tanθ = Perpendicular/Adjacent Side
tanθ = 3/4
cotθ = Adjacent Side/Perpendicular
cotθ = 4/3
secθ = Hypotenuse/Adjacent Side
secθ = 5/4
cosecθ = Hypotenuse/Perpendicular
cosecθ = 5/3
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The complete question is:
The point (4,3) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
Andy buys x cakes
Betty buys 4 times as many cakes as andy
colin buys 3 more cakes than andy
each cake costs 65p
the total cost of the cakes is £52.65
How many cakes did each person buy?
Andy:
Betty:
Colin:
Each person buys a number of cakes
Andy: 13Betty: 52Colin:16What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Andy buys x cakes, Betty buys 4 times as many cakes as andy, and colin buys 3 more cakes than andy
So,
Andy has = x Cakes
Betty have = 4x Cakes
Clin has = x +3 Cakes
Since each cake costs 65p and the total cost of the cakes is £52.65
thus,
0.65( x + 4x + x +3) = 52.62
x + 4x + x +3 = 81
6x = 78
x = 13
Therefore,
Andy has = 13 cakes
Betty has = 4x = 4*13 = 52 cakes
Colin has = x + 3 = 16 cakes
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what is 30 x 8/12+18
Need HELP ASAP PLEASE HELP ME
MARKING BEST ANSWER BRAINLIST.
The graph represents the function f(x). Which set of points lie on its inverse f^-1(x)?
Answer:
Third choice: (1, -3); (2, 2); (3, 7)
Step-by-step explanation:
There are two ways to solve this
The easiest way to solve this is to understand that the inverse of a function f(x), denoted by f⁻¹(x) is nothing but a reflection of the function about the line y = x
What that means is that if (x, y) is a specific point on the line, then the inverse point will be (y, x). Basically we are swapping the x, y values
The 3 points on f(x) and the corresponding points on f⁻¹(x) are given below:
f(x) f⁻¹(x)
------ --------
(-3, 1) (1, -3)
(2, 2) (2, 2)
(7, 3) (3, 7)
From the options given we see that the 3rd choice gives the correct values
So answer:
Third choice: (1, -3); (2, 2); (3, 7)
I have not taken the trouble of finding the equation for the line and finding the inverse of that equation since it is not needed in this question
Joel needs to make 200 milliliters of a solution that is 35% sulfuric
acid for science class.
In the cabinet there is a 15% sulfuric acid solution and a 55% sulfuric
acid solution.
How much of the 15% solution and how much of the 55% solution
does Joel need?
Round to the nearest milliliter if necessary.
The amounts of each solution are given as follows:
15% solution: 100 milliliters.55% solution: 100 milliliters.How to obtain the amounts?The amounts are obtained solving a system of equations, for which the variables are given as follows:
Variable x: amount of the 15% solution.Variable y: amount of the 55% solution.Joel needs to make 200 milliliters, hence:
x + y = 200.
x = 200 - y.
The rate is of 35%, hence:
0.15x + 0.55y = 0.35 x 200
0.15x + 0.55y = 70.
The solution for y is given as follows:
0.15(200 - y) + 0.55y = 70
0.4y = 40
y = 40/0.4
y = 100.
The solution for x is given as follows:
x = 200 - y
x = 100.
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What type of equation does the flight of a volleyball make on a serve?
Inverse Variation
Linear
Exponential
Quadratic
Answer:
Step-by-step explanation:
dedede duehdueheuhd it a
The density of titanium is 4. 5 g/cm3. A titanium object is accelerating at a rate of 800 cm/s2. The mass of the object can be modeled by the function m(v) = 4. 5v, where v is the volume in cubic centimeters. Additionally, the force of the object can be found using the function F(m) = 800m. Which composite function can be used to find the force of the object based on its volume?
Which composite function can be used to find the force of the object based on its volume?
F(m(v)) = 177. 8v
F(m(v)) = 795. 5v
F(m(v)) = 804. 5v
F(m(v)) = 3,600v
F(m(v)) = 3,600 v composite function can be used to find the force of the object based on its volume. So the option d is correct.
We have to determine which composite function can be used to find the force of the object based on its volume.
The density of titanium is 4. 5 g/cm^3.
A titanium object is accelerating at a rate of 800 cm/s^2.
The mass of the object can be modeled by the function m(v) = 4.5v, where v is the volume in cubic centimeters.
The force of the object can be found using the function F(m) = 800m.
F(m(v)) = 800 × 4.5 v
F(m(v)) = 3600 v
As a result, the function that can be utilized to simulate the force depending on volume is 3600 v.
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Total consumption of fruit juice in a particular country in 2006 was about 1.78 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
The average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56 gallons per person
What is average number?The average value in a set of numbers is the middle value calculated by dividing the total of all the values by the number of values.
Given:
Total consumption of fruit = 1.78 billion gallons
= 1,780,000,000
Total population = 500 million
= 500,000,000
Average number of gallons of fruit juice consumed per person = 1,780,000,000 ÷ 500,000,000
= 3.56 gallons per person
About how many gallons would your class consume?
Assume, there are 7 students in your class
Average number of gallons of fruit juice consumed per person = 3.56 gallons / 7
= 0.50 gallons per student
Therefore, the average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56 gallons per person
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what’s the answer??? please
The rational inequality is not provided, so it is not possible to determine the next smallest critical value, b. To determine the critical values, or the values of x that make the denominator of the rational inequality equal to zero, you would need to set the denominator equal to zero and solve for x.
What is rational inequality?Once you have the critical values, you would then need to determine the sign of the numerator and denominator around each critical value to determine which side of the critical value the solution is on. The next smallest critical value, b, would then be the next lowest value of x that is a solution to the inequality.To solve the inequality, you can follow these steps:Set the denominator of the inequality equal to zero and solve for xFactor the numerator and denominatorDetermine the critical values by finding the zeros of the denominatorTest each critical value by plugging it back into the inequalityExamine the signs of the numerator and denominator around each critical value to determine which side of the critical value the solution is on.The next smallest critical value, b, would then be the next lowest value of x that is a solution to the inequality.Graph the inequality on a number line and shade the solution setIdentify the solution set in interval notation.To learn more about rational inequality refer:
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The electronics department is having a no sales tax scale in addition all of the items in the department are on sale for 24% off Wyatt is looking at a music player that normally costs $120 he has $ 95 to spend and he is wondering if he has enough money to but it. A. Find 25% of $120 is this the price he will pay? B. Does Wyatt have enough
25 percent of $120 is $30 and yes, he has enough money to buy the music player.
A) Find 25% of $120:
To find 25% of $120, we divide $120 by 100 and then multiply by 25:
$120 / 100 * 25 = $30
So, 25% of $120 is $30.
B) Does Wyatt have enough:
To find the sale price of the music player, we need to apply the 24% discount:
$120 - $120 * 24% = $120 - $120 * 0.24 = $120 - $28.80 = $91.20
So, the music player will be sold for $91.20.
Wyatt has $95, so he has enough money to buy the music player.
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Amanda and Marvin are going to a movie this evening. Marvin wants to have at least $60 in his wallet.
He currently has $15. Write and solve an inequality to find how much more cash Marvin should put in his wallet.
Marvin should put at least $45 more cash in his wallet in order to have at least $60.
Solving inequality questionsLet x be the amount of cash that Marvin needs to put in his wallet. We know that he wants to have at least $60, and he currently has $15, so we can write the inequality as:
x + 15 ≥ 60
To solve for x, we need to subtract 15 from both sides of the inequality:
x ≥ 60 - 15
x ≥ 45
Marvin should put at least $45 more cash in his wallet in order to have at least $60.
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a typical person has an average heart rate of 73.0 beats/min. how many beats does she have in 2.0 years? in 2.00 years? and finally how many beats in 2.000 years?
(a) The number of beats she have in 2.0 years is 7.6 × [tex]10^7[/tex].
(b) The number of beats she have in 2.00 years is 7.57 × [tex]10^7[/tex].
(c) The number of beats she have in 2.000 years is 7.574 × [tex]10^7[/tex].
In the question, a typical person has an average heart rate of 73.0 beats/min.
(a) We have to determine number of beats she have in 2.0 years.
This is a rounding off issue. Pay attention to the fact that 72.0 has three important figures, 2.0 has two, 2.00 has three, and 2.000 has four.
Conversion of 72 beats per minute to beats per year.
72 beats/min = [tex]\left(\frac{1 \text{ min}}{72.0 \text{ beats}}\right)\times\left(\frac{1.00 \text{ hr}}{60.0 \text{ min}}\right)\times\left(\frac{1.00 \text{ day}}{24.0 \text{ hr}}\right)\times\left(\frac{1 \text{ year}}{365.25 \text{ days}}\right)[/tex]
Now simplify
72 beats/min = 3.7869×[tex]10^7[/tex] beats/year
The average person's heart beats in two years are
= 3.7869 × [tex]10^7[/tex] beats/year × 2 years
= 7.5738 × [tex]10^7[/tex] beats
The answer is only two significant digits, or 2.0. The response is 7.6 × [tex]10^7[/tex] beats.
(b) We have to determine number of beats she have in 2.00 years.
The answer is three significant digits, or 2.00. The response is 7.57 × [tex]10^7[/tex] beats.
(c) We have to determine number of beats she have in 2.000 years.
The answer is 4 significant digits, or 2.0. The response is 7.574 × [tex]10^7[/tex] beats.
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X
Joe is buying 4 tires for his truck The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Jimmy get the lowest price on 4 tires?
es ))
A)
B)
9)
D)
Store A: Buy 3 tires and get the 4th tire free
Store B: Buy 4 tires and receive $60 off the price of each tire
Store C: Buy 4 tires and receive $200 off the total price
Store D: Buy 4 tires and receive 20% off the total price
Answer:
C
Step-by-step explanation:
not D because B is better than D. not A, still expencive. C is the most reasonable for getting $200 off. unless total is over $600.
Answer:A Store A: Buy 3 tires and get the 4th tire free
Step-by-step explanation:its A
Find y and x in the following figure
The measure of x is 105° and the measure of y is 45°.
What is a square?A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.
The given quadrilateral is square.
The diagonals of a square are angle bisectors. Therefore, the diagonals split the right angles of the square into two 45° angles.
Here, y°=45°
Here, a+60° =180°
a=120°
In quadrilateral y°+x°+a°+90°=360°
45°+x°+120°+90°=360°
x°+255°=360°
x°=105°
Therefore, the measure of x is 105° and the measure of y is 45°.
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adding and subtracting fractions with whole numbers
The steps for adding and subtracting fractions with whole numbers:
- Write the whole number in the form of a fraction.
- Convert the fractions to like fractions.
- Add/Subtract the numerators while the denominator remains the same.
We know that the fraction is used to represent the portion or part of the whole thing.
The fraction has two parts: numerator and denominator.
The top part of fraction is numerator and the bottom part of fraction is denominator.
consider a fraction 1/8.
Here, numerator is 1, denominator is 8
When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8
In case of adding and subtracting fractions with whole numbers:
Let us assume that 'a' represents the whole number and [tex]\frac{x}{y}[/tex] be fraction
First we write the whole number in the form of a fraction.
So, a = [tex]a = \frac{a}{1}[/tex]
Now we find the LCM of the denominators of fractions [tex]\frac{a}{1} ,\frac{x}{y}[/tex] and then convert the given fractions to like fractions.
Let m be the LCM of the denominators of fractions [tex]\frac{a}{1} ,\frac{x}{y}[/tex]
So, the fractions becomes [tex]\frac{a}{m} ,\frac{x}{m}[/tex]
Last we Add/Subtract the numerators while the denominator remains the same.
i.e., [tex]\frac{a\pm x}{m}[/tex]
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The complete question is:
How to add /subtract fractions with whole numbers?
Pls answers this I need help on homework
The equation of the trend line, can be found to be y = - 25 + 250
How to find the equation of the trend line ?To find the equation of the trend line, you first need to find the slope. To do this, pick two points on the trend line. ( 4, 150) and ( 8, 50 ).
The slope is:
= ( Y2 - Y1 )/ ( X 2 - X 1 )
= ( 50 - 150 ) / ( 8 - 4 )
= - 100 / 4
= - 25
The equation of the trend line takes the form:
y = mx + b
m = slope
b = y - intercept
The slope allows you to find the y - intercept :
y = mx + b
50 = - 25 ( 8 ) + b
b = 250
The equation is:
y = - 25 + 250
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Salma is interested in purchasing a portable speaker. The regular price is $118, but the online store is having a 40% off sale. Which expression represents how to calculate the sale price?
The expression represents the :
40% of 118 = Answer - Regular price
The sale price is = $70.8
Now, According to the question:
"Information available from the question"
The regular price is $118,
but the online store is having a 40% off sale.
To find the sale price.
Now, 40% of 118 = 47.2
And the sale price will be:
$118 - $47.2
= 70.8
The expression represents the :
40% of 118 = Answer - Regular price
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may u answer this with equation im very confused pls
Answer:
See explanation below.
Step-by-step explanation:
1. (-1, -1) and (2, -2)
m = -2+1 / 2+1
m = -1/3
2. (-1, -4) and (0, -1)
m = -1+4 / 0+1
m = 3/1
m = 3
3. (-4, 0) and (-2, -3)
m = -3-0 / -2+4
m = -3/2
4. (2, 0) and (0, -3)
m = -3-0 / 0-2
m = -3/-2
m = 3/2
5. (-1, 2) and (-4, -3)
m = -3-2 / -4+1
m = -5/-3
m = 5/3
6. (4, 3) and (1, -4)
m = -4-3 / 1-4
m = -7/-3
m = 7/3
(n^4-14n^3+51n^2-19n-30)/(n-8) Synthetic Division
The solution of (n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8) using synthetic division is n³ - 6n² + 3n + 5 + 10/n - 8.
What is the solution of (x³ - 5x² -24x) / (x + 8) using synthetic division?The solution of (n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8) using synthetic division is given below:
(n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8)
The divisor is 8
The coefficients are:
1 -14 51 -19 -30
Using synthetic division:
the first coefficient is 1
the second coefficient = 1 * (8) + (-14)
the second coefficient = -6
the third coefficient = -6 * (8) + (51)
the third coefficient = 3
the fourth coefficient = 3 * (8) + (-19)
the third coefficient = 5
the remainder = 5 * (8) + (-30)
the remainder = 10
Therefore, the solution = 1(n⁴/n) -6(n³/n) + 3(n²/n) + 5(n/n) + 10/n - 8
The solution = n³ - 6n² + 3n + 5 + 10/n - 8
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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h at time t seconds after launch is h(t) = -16(t)^2 +80t. Find the domain of the function.
The domain of the function h(t) = -16(t)² + 80t is,
⇒ (- ∞, ∞)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation for this object's height h at time t seconds after launch is,
⇒ h(t) = -16(t)² + 80t
Now, The function is shown a Quadratic equation.
Hence, The domain of the function h(t) = -16(t)² + 80t is,
⇒ (- ∞, ∞)
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I'LL WRITE A GOOD REVIEW AND 5 STARS!
The original length is 250 meters and the scale drawing width is 0.67 cm
The original length of the landFrom the question (see attachment), we have the following parameters that can be used in our computation:
Scale length = 0.5 meters
So, we have
Original length = 0.5/(1/500)
Evaluate
Original length = 250
This means that the original length is 250 meters
The scale drawing widthHere, we have
Scale drawing width = 335 cm * 1/500
Scale drawing width = 0.67 cm
Hence, the scale drawing width is 0.67 cm
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11 (4 - 6) + 5 (13 + 1) = 9
Answer: False because 20 doesn't equal to 9. Have a nice day ;)
Answer: the answer is false
Step-by-step explanation:
Which is a correct solution for the following system of Inequalities
A correct solution for the following system of Inequalities is; (-2, 6)
What is the solution to the inequality graph?From the graph, it represents two inequalities and we can say that the solution of the two inequalities is the coordinate of the point where both lines of the inequalities intersect each other.
In the given graph, the coordinate of the point where both lines intersect each other is expressed as;
(-0.5, 4.2)
Now, that coordinate is not among the options but then the solution to the inequality graph will be the region shaded purple which in this case the only correct one is the coordinate (-2, 6)
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v = 14.2(12.5 - s) The velocity, , in meters per second, of an airplane seconds after landing is given by the equation above. What is the best interpretation of 14.2 as shown in the equation above? HURRYYYY TIMEDDD TESTTT
The best interpretation of 14.2 as shown in the equation above is the constant acceleration of the airplane.
What is the constant acceleration?A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the rate at which a particle's velocity changes. When acceleration is constant, the rate of change in velocity is also constant. In the absence of any acceleration, velocity remains constant.
When acceleration is positive, velocity becomes more significant. Acceleration causes a decrease in velocity. The value 14.2 in the equation above represents the constant acceleration of the airplane in meters per second squared (m/s^2). It is the rate at which the velocity of the airplane is changing with respect to time.
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15/4 + 7/2 = ????????
Answer:
29/4 or as a mixed fraction 7 1/4
Step-by-step explanation:
I need help with this proof
The proof that shows that triangles ABC and EDC are similar is explained in the table below.
How to Write a Proof?A proof is a logical argument that demonstrates the truth of a statement. So, each step must be justified and flow logically from the previous step.
The proof that shows that the triangles are similar is explained as shown below.
Statement Reason
1. AB || DE 1. Given
2. <A ≅ <E 2. Alternate interior <s theorem
3. <B ≅ <D 3. Alternate interior <s theorem
4. ∆ABC ~ ∆EDC 4. AA Similarity theorem
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A square painting has a diagonal of 44 in. Lorraine wants to frame the picture. The framing material is sold by the inch.
What is the minimum amount of framing she needs?
The minimum amount of framing Lorraine needs for the square painting is 31 inches.
We can use the Pythagorean theorem to calculate the length of the side of the square given the length of its diagonal. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
We know that the diagonal of the square painting is 44 inches, and since the diagonal of a square bisects its angles, the square can be divided into two congruent right-angled triangles. Therefore, the length of one side of the square can be calculated using the Pythagorean theorem:
44 inches^2 = x^2 + x^2
x^2 = 11*11
x = 11 inches
Since the square painting has a side length of 11 inches, and the framing material is sold by the inch, Lorraine will need a minimum of 11 inches of framing on each side, for a total of 44 inches.