To find the estimated amount John needs to save to buy the bike, we can subtract the amount he already has saved from the cost of the bike:
Estimated amount = Cost of bike - Amount already saved
Estimated amount = $337 - $103
Estimated amount = $234
Therefore, John needs to save an estimated $234 more to buy the bike.
Answer:
John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.
Step-by-step explanation:
To find out how much more John needs to save to buy the bike, we can subtract the amount he has already saved from the cost of the bike:
337 - 103 = 234
Therefore, John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.
Malachi asks students in his class, "How long does it take you to get to school?" The histogram
shows the data.
Which statement best describes the distribution?
Answer:
The distribution is symmetric
Step-by-step explanation:
Because in both sides it has the same structure, so that means that the value is the same in both sides
The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
Please Help Quick ASAP Hurry
Two similar solids have a scale factor of 2 : 5
What is the ratio of their volumes expressed in lowest terms?
A cone with volume 2625 m³ is dilated by a scale factor of 15.
What is the volume of the resulting cone?
a) If two similar solids have a scale factor of 2 : 5, the ratio of their volumes is 8:125, expressed in the lowest terms.
b) If cone with volume 2625 m³ is dilated by a scale factor of 15, the volume of the resulting cone is 10,640,625 m³.
(a) When two solids are similar, their corresponding linear dimensions are in the same ratio, which is known as the scale factor. For example, if two similar solids have a scale factor of 2:5, it means that the corresponding sides of the two solids are in the ratio 2:5.
The volume of a solid is proportional to the cube of its linear dimensions. Therefore, if the linear dimensions of two similar solids are in the ratio 2:5, the ratio of their volumes would be:
(2/5)³ = 8/125
(b) The volume of a cone is given by the formula:
V = (1/3)πr²h
where V is the volume, r is the radius, and h is the height of the cone.
When a cone is dilated by a scale factor of k, its linear dimensions increase by a factor of k, and its volume increases by a factor of k³. Therefore, if the volume of a cone is V and it is dilated by a scale factor of k, the volume of the resulting cone would be:
V' = k³V
In this case, the volume of the original cone is given as 2625 m³, and it is dilated by a scale factor of 15. Substituting these values in the formula, we get:
V' = 15³(2625)
V' = 15³(2625/1)
V' = 10640625
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The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79
,
73
,
72
,
70
,
72
,
66
,
81
,
75
79, 73, 72, 70, 72, 66, 81, 75
What is the median high daily temperature, in degrees Fahrenheit, in the city?
For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.
In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:
The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}
There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.
In this case, the temperature of the fourth day is 72, and fifth day is 73,
The average will be = (72+73)/2 = 72.5,
Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.
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The given question is incomplete, the complete question is
The data set shown below represents the distribution of daily high temperatures in a city for 8 days.
79,73,72,70,72,66,81,75.
What is the median high daily temperature, in degrees Fahrenheit, in the city?
100 POINTS
Question:
Answer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).BRAINLINEST PLEASEAnswer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.
A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).
GIVE NICE GUY BRAINLINEST PLEASE
A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.
A) circle
B) triangle
C) hexagon
D) rectangle
Answer:
A) circle.
When a sphere is cut by a horizontal plane, the resulting cross section is a circle. This is because a sphere is a three-dimensional object that is perfectly symmetrical in all directions, so any plane that intersects it will create a circular cross section.
Answer:
the answer is A) circle.The graph shows the total weight of a fish tank, y, as a function of the amount of water in the tank, x
What is the weight of an empty tank?
The weight of the empty tank is given as follows:
4 pounds.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The weight of the empty tank is the intercept of the function, which is of b = 4, hence:
4 pounds.
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A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8 oz cup. If the standard deviation of the amount of coffee dispensed is 0.2 oz, and the amount is normally distributed, find the percent of times the machine will dispense from 7.5 oz to 7.9 oz.
The percentage of time that the machine will dispense from 7. 5 oz to 7. 9 oz is 62.47% of the time.
How to find the percentage ?Find the Z-scores for both 7. 5 oz and 7. 9 oz :
Z = ( X - μ ) / σ
For 7. 5 oz :
Z = ( 7.5 - 7.6 ) / 0.2
Z = -0. 1 / 0. 2
Z = -0. 5
For 7.9 oz:
Z = (7. 9 - 7.6 ) / 0.2
Z = 0. 3 / 0. 2
Z = 1. 5
Using the z - values from the table, the percentage of time is:
0.9332 - 0.3085 = 0.6247
= 62. 47 %
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Identify the converse of the statement "A → B: If x = 3, then x + 8 = 11."
A) ∼A → ∼B: If x ≠ 3, then x + 8 ≠ 11.
B) ∼A → B: If x ≠ 3, then x + 8 = 11.
C) B → A: If x + 8 = 11, then x = 3.
The converse of the statement "A → B: If x = 3, then x + 8 = 11" is Option(c) which is "B → A: If x + 8 = 11, then x = 3."
The "Converse" of a "conditional-statement" can be expressed by interchanging the hypothesis and the conclusion of "original-statement".
In this case, The "conditional-statement" is given to be "A → B: If x = 3, then x+8=11", which is read-as that if "x" is equal to 3, then expression "x + 8" is equal to 11.
So, The converse statement would say that if "x + 8" is equal to 11, then x must be equal to 3.
Therefore, the correct option is (c).
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1. The rectangle shown is dilated by a scale factor of 3. (a) Calculate the length of each side of the dilated image. (b) Draw the new image and label it .
According to the information, the dilated rectangle would have the dimensions of 2.66cm on the side and 5cm on the base.
How to calculate the length of each side of the dilated image?To calculate the dimensions of each side of the dilated figure we must identify the dilation factor. In this case it is 3, so we must divide the length of each side into the number of the expansion factor as shown below:
8 / 3 = 2.6615 / 3 = 5According to the above, the dilated rectangle would remain with the dimensions of 2.66cm on the side and 5cm on the base.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
The solution of the inequality, log₂ 2m > log₂ (m + 5) is {m | m > 5 / 2}.
How to solve logarithm inequality?An inequality is an expression that have <, >, ≤ and ≥ . Therefore, let's solve the logarithmic inequality for the variable m.
Hence,
log₂ 2m > log₂ (m + 5)
Therefore, let's divide both sides by log₂.
Hence,
2m > m + 5
subtract m from both sides of the inequality
2m > m + 5
2m - m > m - m + 5
2m > 5
divide both sides by 2
2m / 2 > 5 / 2
Therefore,
m > 5 / 2
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Match the following:
1. Counts as Demand
2. Does Not Count as Demand
3. Demand Increases
4. Demand Decreases
What happens to the demand for
goods and services if the population in
town decreases?
Sue buys a new computer.
Adam likes the new cell phone, but
cannot afford it.
What happens to the demand for
jeans if the price of a popular brand of
jeans decreases?
I need help pleaseee
The matrix formed by performing the row operation 4R₂ + R₃ — R₃ will result to R₁ = [-4 0 1 5], R₂ = [-6 5 -1 8], and R₃= [-33 24 -9 32]
What is a matrix row operationRow operations are a set of operations that can be performed on the rows of a matrix in order to transform it into a row equivalent matrix, which has the same solution set as the original matrix.
performing the row operation 4R₂ + R₃ — R₃, we have;
4(-6) + (-9) = -33 {row 3 column 1}
4(5) + 4 = 24 {row 3 column 2}
4(-1) + (-5) = -9 {row 3 column 3}
4(8) + 0 = 32 {row 3 column 4}
Therefore, the matrix formed by performing the row operation 4R₂ + R₃ — R₃ will give a new one with R₁ = [-4 0 1 5], R₂ = [-6 5 -1 8], and R₃= [-33 24 -9 32]
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Please help me i really dont get this. ill give 20 points please help me. ILL GIVE BRAINLIEST
Answer: A and yes
Step-by-step explanation:
1. A is the answer. You must balance an equation. Whatever you do to one side you have to do to the other side. There are no like terms to combine on one side so C, D are out.
2. Yes, because the equations are balance and will get same answers
Find the value of m + n + 22 if m is 34 and n is 47.
Which function is represented by the graph?
A f(x) = -12x + 6f(x) = - 1 2 x + 6
B f(x) = 12x + 6f(x) = 1 2 x + 6
C f(x) = -2x + 6f(x) = -2x + 6
D f(x) = 2x + 6
Answer:
B
Step-by-step explanation:
Notice that all y-intercepts are the same (doesn't give a clue to the answer).
The line has a downward slant as you move from left to right, so the slope is negative (eliminating A & C as answers).
Determine the actual slope by identifying the y-intercept and x-intercept, and calculate Rise over Run:
Rise = -6 (goes from +6 to 0)
Run = +12
-6/12 = -1/2
Very confusing help I’m not sure how break this down and what’s the step
Note that adding one pair does not make the table a function. This is why it is trickly. For the table to be a function, each value of x must be related to only one unique value of y and vice versa.
How can the table become a function?For the table to become a function, we must eliminate any repeated ordered pairs such as (3, 8) and (7, 8)
For example, we can say (3, 6) and (7, 8) then pick the last to be (5, 10)
So the table becomes a function when you have:
X Y
6 0
3 6
9 12
7 8
5 10
The word linear function in mathematics refers to two separate but related concepts: A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
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Mr.John borrowed $5,340.00 from the bank at 9.5% per annum simple interest for 5 years. Calculate The value of each montly installments
Answer:
5,340x.095=507.3
507.3÷5=101.46
101.46÷12=$8.45 interest
5,340÷5=1068
1068÷12= $89
89+8.45=$97.45
answer $97.45 a month
algebra pls helpppppppppp
The correct answers are:
They are inverses of one another
They are symmetric over the line y=x
What is exponential form?When a number is too big or too little, exponential notation can express it as a single number and 10 increased to the power of the appropriate exponent.
The exponential form [tex]y=5^x[/tex]
The logarithmic form [tex]y = log_5\ x[/tex] are inverse functions of each other.
If we [tex]y = 5^x[/tex], then [tex]x = log_5\ y[/tex].
As long as x is a real number and y is positive, this is true for any value of x and y.
The graphs of [tex]y = 5^x[/tex] and [tex]y = log_5\ x[/tex] are symmetric over the line y = x.
We obtain the other graph by reflecting the first graph across this line.
Over the line y = x, the inverse functions are always symmetric.
If we swap the x and y coordinates of any point on one graph, we get a comparable position on the other graph.
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please help, will give brainiest!
Answer:
See explanation.
Step-by-step explanation:
Let's analyze each solution to determine if it's viable or non-viable based on the given constraints: Johnnie and Amy have $38.50, and they cannot buy more than 7 lunches.
1. 8 slices of pizza and 0 hamburgers
This solution is non-viable because they are not allowed to buy more than 7 lunches. In this case, they would be buying 8 lunches.
2. 5 slices of pizza and 2 hamburgers
Cost: 5×4.75+2×5.55=23.75+11.10=34.85
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
3. 4 slices of pizza and 3 hamburgers
Cost: 4×4.75+3×5.55=19.00+16.65=35.65
This solution is viable because the total cost is within their budget, and they are buying 7 lunches.
4. 3 slices of pizza and 2 hamburgers
Cost: 3×4.75+2×5.55=14.25+11.10=25.35
This solution is non-viable because they are only buying 5 lunches, which is less than the maximum allowed. But if it is acceptable to only buy below 7 lunches, then this solution can be viable.
5. 2 slices of pizza and 6 hamburgers
Cost: 2×4.75+6×5.55=9.50+33.30=42.80
This solution is non-viable because the total cost exceeds their budget.
6. 0 slices of pizza and 7 hamburgers
Cost: 7×5.55=38.85
This solution is non-viable because the total cost exceeds their budget.
In conclusion, the viable solutions are:
5 slices of pizza and 2 hamburgers
4 slices of pizza and 3 hamburgers
Possible in being viable:
3 slices of pizza and 2 hamburgers
The angle of depression from the window of a building to a parked car is 38°. If the car is parked 320 feet away from the base of the building, what is the distance between the window and the car to the nearest tenth?
Answer:
Set your calculator to degree mode.
Please sketch the figure to confirm my answer.
cos(38°) = 320/d
d•cos(38°) = 320
d = 320/cos(38°) = 406.1 feet
if 3x+2y=36 and (5y)/(3x)=5, what is the value of x+y?
Answer:
16
Step-by-step explanation:
5y/3x = 5
3x = 5y/5
3x = y
3x + 2y = 36
y + 2y = 36
3y = 36
y = 36/3
y = 12
3x = y
3x = 12
x = 12/3
x = 4
x + y
= 4 + 12
= 16
x + y = 16
For positive acute angles A and B, it is known that tanA= 4/3 and sinB= 53/28 . Find the value of sin(A−B) in simplest form.
The value of sin(A-B) is 2334/6625
What is trigonometric identity?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.
Example of trigonometric identity include;
cos 2 θ + sin 2 θ = 1 cos 2 θ + sin 2 θ = 1.
1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ
1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ
Sin(A-B) = = sin A cos B- cos Asin B
if tan A = 4/3, then 4 is the opp and 3 is the adj,
hyp² = 4²+3²
= 16+9
hyp² = 25
hyp = √25
= 5
cos A = 3/5 and sinA = 4/5
if sinB = 28/53, then opp is 28 is the opp and 53 is the hyp
adj = √ 53²-28²
adj = √ 2809 - 784
adj = √2025
adj = 45
cos B = 45/58
sin(A-B) = 4/5 × 45/58 - 3/5× 28/53
= 18/29 - 84/265
= (4770-2436)/6625
= 2334/6625
therefore the value of sin(A-B) = 2334/6625
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simplify the following:
Answer:
[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]
Step-by-step explanation:
Simplify
[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}[/tex]
The first-level numerator is
[tex]\dfrac{16}{x-4}-\dfrac{4}{x-2}\\\\\\= \dfrac{16(x-4) - 4(x - 2)}{(x-2)(x-4)}\\\\\\= \dfrac{16x -64 - 4x + 8}{(x-2)(x-4)}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)}[/tex]
The first-level denominator is
[tex]\dfrac{16}{x}-\dfrac{x-4}{x-2}\\\\\\= \dfrac{16(x-2) - x(x-4)}{x(x-2)}\\\\\\\\= \dfrac{16x - 32 -x^2 +4x}{x(x-2)}[/tex]
[tex]= \dfrac{-x^2+20x-32}{x\left(x-2\right)}[/tex]
Therefore
[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)} \div\dfrac{-x^2+20x-32}{x\left(x-2\right)} \\\\\\[/tex]
Use the fraction rule: [tex]\dfrac{a}{b} \div \dfrac{d}{c} = \dfrac{a}{b} \cdot \dfrac{d}{c}[/tex]
[tex]= \dfrac{12x -56}{(x-2)(x-4)} \cdot \dfrac{x(x-2)}{-x^2 +20x -32}}[/tex]
The (x-2) term cancels out resulting in:
[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]
Consider the following. Circle: x = h + r cos(theta), y = k + r sin(theta) Use the above to find a set of parametric equations for the conic. Circle: center: (−2, −3); radius: 6
Answer:
Step-by-step explanation:
The standard parametric equations for a circle with center (h, k) and radius r are:
x = h + r cos(theta)
y = k + r sin(theta)
Here, center is (−2, −3) and the radius is 6. Therefore, we have:
h = -2
k = -3
r = 6
Substituting these values into the standard equations, we get:
x = -2 + 6 cos(theta)
y = -3 + 6 sin(theta)
So the set of parametric equations for the circle is:
x(t) = -2 + 6 cos(t)
y(t) = -3 + 6 sin(t)
where t = theta.
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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-2(-2/3) x 3/5
Write in simplest form .
Answer:
4/5
Step-by-step explanation:
1. Find the mean absolute deviation of this set of data. I 11, 20, 38, 5, 4 Data Mean Difference Sum Mean Absolute Deviation SUGRE Absolute Value
mean = 11+20+38+5+4/5 = 78/5 = 15.6
in the diagram below A, B, C are points in the same horizontal plane with AC =BC=22.3 meters.AD is a vertical tower which is anchored at B and C.The angle of elevation of D from B is 25.4. BDC=58.6 and ACB= 50.8.
The length of AB is 27.3m and AD is 113 m.
Using Trigonometry in Triangle ABC
tan 50. 8 = P / B
tan 50.8 = AB / 22.3
1.2261 = AB/ 22.3
AB = 27.34 m
Now, again using Trigonometry
tan 25.4 = P / B
tan 50.8 = AD / 27.34
0.474 = AD/ 27.34
AD = 12.95916 m
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Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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