To represent the total cost of admission for the number of visits in a season, an arithmetic sequence can be created with a common difference of $45. The cost of admission for the first visit is $45, and the sequence can be extended to five terms. To determine when a season pass becomes the better deal, compare the total cost of admission with the cost of a season pass. A person would have to visit the park at least 3 times for a season pass to be the better deal.
Explanation:a. To represent the total cost of admission for the number of visits in a season, we can create an arithmetic sequence. The common difference will be the cost of admission each time a person visits the park, which is $45. The first term can be the cost of admission for the first visit, which is also $45. So, the arithmetic sequence will be:
Total: $45Total: $90Total: $135Total: $180Total: $225b. To find out how many times a person has to visit the park for a season pass to be the better deal, we need to compare the total cost of admission for the number of visits with the cost of a season pass. In this case, the season pass costs $112 per person, so we need to find the number of visits that would equal or exceed the cost of a season pass. From the arithmetic sequence we created in part a, we can see that a person would have to visit the park at least 3 times for the total cost of admission to equal or exceed the cost of a season pass. Therefore, a person would have to visit the park at least 3 times for a season pass to be the better deal.
Need help with question 1. Anything is appreciated:) (if you don’t don’t that’s ok)
What does 15x represent in this equation?
Answer:
I believe the answer is A
Which of the following polynomials is a difference of squares? *
10 points
x^2+16
x^2+6x+9
x^2+5x+4
x^2-9
Answer:
x² - 9
Step-by-step explanation:
A difference of squares has the form
a² - b²
Thus
x² - 9
= x² - 3² ← is a difference of squares
Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 2, 3.5, 5, 6.1, 8. The third column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6. Which residual value is the farthest from the line of best fit?
Answer:
The residual value is the farthest from the line of best fit is 0.7.
Step-by-step explanation:
A simple linear regression line is given by,
[tex]\hat y = \alpha + \beta X + \hat e[/tex]
Here,
α = constant,
β = slope
e = residual.
The difference amid the observed value of the dependent variable (Y) and the predicted value (y) is known as the residual (e).
The formula to compute the residual is,
[tex]\hat e=y-\hat y[/tex]
The information provided is:
x y e
1 2.0 -0.4
2 3.5 0.7
3 5.0 -0.2
4 6.1 -0.6
5 8.0 0.0
The residuals are the difference between the actual value and the predicted value.
They can also be defined as the distance between the line of best fit and the actual value of the dependent variable.
The data point that is the farthest from the line of best fit is, y = 3.5.
The residual value of y = 3.5 is 0.7.
In terms of units distance, this value of y is the farthest from the line of bet fit.
Thus, the residual value is the farthest from the line of best fit is 0.7.
What is the surface area of the rectangular prism ? 15in 5in 4in
Answer: A=2(wl+hl+hw)
Step-by-step explanation:
W=15 L=5 H=4
A= 2((15*5)+(4*5)+(4*15))
A= 310
The surface area of a rectangular prism with dimensions 15in by 5in by 4in is calculated using the formula 2lw + 2lh + 2wh, resulting in a surface area of 310 square inches.
The question asks: What is the surface area of the rectangular prism with dimensions 15in, 5in, 4in?
To find the surface area of a rectangular prism, we use the formula: Surface Area = 2lw + 2lh + 2wh, where l represents length, w represents width, and h represents height.
Using the given dimensions:
Length (l) = 15in
Width (w) = 5in
Height (h) = 4in
We calculate the surface area as follows:
Surface Area = 2(15)(5) + 2(15)(4) + 2(5)(4)
Surface Area = 150 + 120 + 40
Surface Area = 310 square inches
Therefore, the surface area of the rectangular prism is 310 square inches.
Find the value of each expression.
2h – 4 + 5 if h = 8
Answer:
2 times 8 is 16. 16 minus 4 is 12 plus 5 is 17. answer is 17.
Step-by-step explanation:
since h=8
The steps of the value of the expression:
2(8)-4+5
16-4+5
12+5
17
Solve the system of equations below.
x + y = 8
3x + 2y = 21
answer:(x,y)=(5,3)
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.plz mark as brainliest
Final answer:
The solution to the system of linear equations x + y = 8 and 3x + 2y = 21 is found using the elimination method, resulting in x = 5 and y = 3.
Explanation:
To solve the given system of equations:
x + y = 8
3x + 2y = 21
we can use either substitution or elimination method. For this instance, let's use the elimination method.
Multiply the first equation by 2 to match the coefficient of y in the second equation:
2(x + y) = 2(8)
2x + 2y = 16
Now, we have:
2x + 2y = 16
3x + 2y = 21
Subtract the second equation from the first:
(2x + 2y) - (3x + 2y) = 16 - 21
-x = -5
x = 5
Now that we have x, we can plug it back into the first equation:
x + y = 8
5 + y = 8
y = 8 - 5
y = 3
The solution to the system of equations is x = 5 and y = 3.
How do you write twenty five increased by six in a numerical expression
Answer:
25 + 6 = 31
Step-by-step explanation:
5. Gina bought 8 bags of 32 animal
crackers and 8 bags of 48 animal
crackers. She says she bought
8 X (32 + 48) animal crackers in all.
Do you agree? Explain.
Answer:
Yes I agree, because 32 times 8 plus 48 times 8 equals 8x(32+48)
Step-by-step explanation:
Rectangle QRST is similar to rectangle JKLM. The scale factor of rectangle JKLM to rectangle QRST is . The perimeter of rectangle QRST is 12 units, and the perimeter of rectangle JKLM is units. The area of rectangle QRST is units2, and the area of rectangle JKLM is 128 units2. If proportional dimensional changes are made to a figure, then the perimeter will change by the scale factor, and the area will change by the scale factor
The answers are shown below:
What is similarity?Similar polygons definitionOn the other hand, In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.
Properties of similar polygonsThe corresponding angles are equal/congruent. (Both interior and exterior angles are the same)The ratio of the corresponding sides is the same for all sides. Hence, the perimeters are different.Similar QuadrilateralsQuadrilaterals are polygons that have four sides. The sum of the interior angles of a quadrilateral is 360 degrees. Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same( the fourth angles automatically become the same as the interior angle sum is 360 degrees), and two adjacent sides have equal ratios.
1. scale factor= 4 units
1. perimeter of rectangle JKLM is 48 units
2. Area= 8
4. same
5. square
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First question: A groundskepper needs grass seed to cover a circular field, 380 feet in diameter. A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the fewest number of bags the groundskeeper must buy to cover the circular field?
I WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST AND IS ACCURATE!
Answer: 165 bags
Step-by-step explanation:
Please helppppp
Consider the function f whose graph is shown above
Answer:
It is C. Just look at the farthest points, and those are the numbers in your inequality.
To analyze a function's graph, identify the domain and range, find the intercepts, assess whether the function is increasing or decreasing, and locate the extrema points.
Explanation:Without the graph, I can't provide a specific analysis. However, I can guide you on how to analyze a function graph. A function graph can give specific details such as the function's domain and range, its intercepts, whether it's increasing or decreasing, and any extrema points (maxima or minima).
To find the domain, you need to identify which 'x' values are included on the graph. The range refers to the 'y' values covered by the graph. The intercepts are points where the graph crosses the 'x' axis (x-intercepts) and 'y' axis (y-intercepts).
By checking if the function is rising (increasing) or falling (decreasing), and spotting the highest and lowest points (maxima and minima), you can explore the behavior of the function.
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Explain the relationship between a strategy, such as number sense, and a written method such as partial products or area models, for multiplying decimal numbers.
Final answer:
Number sense enhances a student's understanding of multiplication and helps them choose the most efficient written method. For example, 0.5 can be easily multiplied mentally, and this knowledge can be applied to written methods for multiplying decimals.
Explanation:
In mathematics, number sense refers to a person's understanding of numbers and their relationships. It involves the ability to perform mental calculations and estimate the magnitude of numbers. On the other hand, written methods such as partial products or area models are specific algorithms or procedures used to solve mathematical problems, including multiplying decimal numbers.
The relationship between number sense and written methods for multiplying decimal numbers is that number sense enhances a student's understanding of the concept of multiplication and helps them make connections between different strategies or methods. By developing number sense, students can choose the most efficient written method based on their understanding of the numbers involved and their relationships.
For example, if a student has a strong number sense, they may recognize the relationship between a decimal that can be easily multiplied mentally, such as 0.5, and other decimal numbers. They can then use this knowledge to apply a written method like area models or partial products to solve problems that involve multiplying decimals.
How many different ways can 3 events be ordered?
Answer:
6
Step-by-step explanation:
Label them as variables
A, B, and C
Now try and list them
ABC
ACB
BAC
BCA
CAB
CBA
There should be 6
The more mathematical way is using factorials
So you would do 3! which is 3*2*1
This also gives you 6
Step-by-step explanation:
I kind of forgot but it should be 6
3!=6
for the first event there are three choices, then 2, then 1. You them multiply them all.
Im sorry if this made no sense lol, i will delete if people in the comments want to give a better explanation.
A student uses 3.14 for π to calculate the approximate circumference of a circle, 150.72 meters. Given this, find the approximate area of the circle. Use 3.14 for π.
Answer:
area of a circle = 1808.64meters²
Step-by-step explanation:
given that ,
π = 3.14
circumference = 150.72meters
calculate the area of the circle.
to calculate the circumference of a circle
recall,
circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
circumference of a circle = 6.28r
150.72meteras = 6.28r
divide both sides by 6.26
150.72meters/6.28 = 6.28r/6.28
24meters = radius
radius = 24 meters
now to calculate the area of the circle
recall the formulae for finding the area of a circle is given to be = πr²
area of a circle = πr²
area of a circle = 3.14 x ( 24)²
area of a circle = 3.14 x 576meters²
area of a circle = 1808.64meters²
Please help solve this
Answer:
49/54
Step-by-step explanation:
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by h(x)=-(x+1)(x-7), left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 7, right parenthesis How many seconds after being thrown will the ball reach its maximum height?
When we graph the function, it has a vertex of (3, 16).
The maximum of the graph is the highest "x" value on the graph which is 3.
Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.
A graph will be shown below showing the function and vertex.
Best of Luck!
Answer:
3 seconds
Step-by-step explanation:
We need to find where the maximum i. The maximum or minimum is at the vertex. We know where the zero are because the equation is written in the zero form
We know the vertex is 1/2 way between the zeros
h(x)=-(x+1)(x-7)
Using the zero product property
x+1 = 0 x-7 =0
The zeros are at -1 and 7
Adding the two together and dividing by 2
(-1+7)/2 = 6/2 =3
The maximum is at 3. We know it is the maximum because the equation is pointing down because of the negative out front.
Express 1.3 x 0.4 as a percent.
Answer:52%
Step-by-step explanation:1.3x100=130% 0.4x100=40%
130%x40%=52% or 1.3x0.4=0.52 / 0.52x100=52%
In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
Answer:Look below
Step-by-step explanation:
f(x) = x^3
g(x) = f(x-4) which shifts f(x) 4 units to the right
g(x) = (x-4)^3
h(x) = g(x) + 6 shift g(x) 6 units up
h(x) = (x-4)^3 + 6
The turning point of f(x) is at (0,0), then shift 4 units to the right and 6 units up, I got (4,6)
a gain of 180 feet is what?
Answer:
+180
Step-by-step explanation:
A tree is 18.15 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.
Answer:
The height is actually 5.5 Meters
Step-by-step explanation:
its simple division. Just divide 18.15÷3.3
The tree is 18.15 feet and your changing feet to meters.
It gives you the conversion.
1 meter is 3.3 Feet
Final answer:
To convert the height of the tree from feet to meters, divide the height in feet by the conversion factor of feet to meters (1meter= 3.3 feet). For this specific case, the tree is 18.15 feet tall, which is equivalent to 5.5 meters.
Explanation:
To convert the height of the tree from feet to meters:
Given: Tree height = 18.15 feet, Conversion factor: 1 meter = 3.3 feet
Calculate: Height in meters = 18.15 feet / 3.3 feet/meter
Height in meters = 5.5 meters
15pt question!
A weather forecaster states that there is a 70% chance of rain on Thursday and a 20% chance of rain on Friday. What is the probability of it raining on Thursday and Friday? Assume these are independent events.
Answer:The probability is 0.14 or 14%
Step-by-step explanation:
Please give me brainliest,this is correct
Answer:
Answer:The probability is 0.14 or 14%
Step-by-step explanation:
April has a sheet of paper that is 2 feet long. She cuts the length of paper into halves and then cuts the length of each of these 1/2 pieces into thirds. How many pieces does she have? How many inches long is each piece?
April has a total of 6 pieces of paper, with each piece being 4 inches long after she cuts the 2-foot paper into halves and then into thirds.
To solve this problem, we need to perform two cuts. The initial length of the paper is 2 feet. When April cuts the length of paper into halves, she now has two pieces each of 1 foot in length. Then, she cuts each of these halves into thirds. To find out how many pieces she has in total, we multiply 2 halves by 3, resulting in 6 pieces of paper in total.
To determine the length of each piece in inches, we start with the original measurement in feet. Since 1 foot is equivalent to 12 inches, we convert the 1-foot pieces to inches by multiplying by 12. Then, we divide by 3 to represent the three cuts that April makes:
1 foot = 12 inches
Each cut piece = 12 inches / 3
Each piece is 4 inches long.
Write in equation that represents the line
Answer:
y = 6/5x -5
Step-by-step explanation:
Using the slope formula,
you can find the slope
or just divide the amount of units up by
the amount of units right.
Then find the y intercept which is (0,5)
Answer:
y = [tex]\frac{6}{5}[/tex]x -5
Step-by-step explanation:
Whenever we have a line such as this one, (A linear or straight line) we can write an equation with the form y = mx + b
m is the slope
b is the y-intercept
To calculate slope or "m" we see how many times the point goes up, and how many times it goes to the right, and then put it in a fraction.
(Units it goes up) / (Units it goes to the right)
The y-intercept is what number the line intersects on the y-axis.
On this line it intersects at the -5 point.
So the equation when you put in the values is y = [tex]\frac{6}{5}[/tex]x -5
Write the equation of the line that goes through the point (-5,3) and has a slope of -2
Answer:y=-2x+3
Step-by-step explanation:
the 3 is the y coordinate
the slope is -2
3. What is the volume of the figure?
A. 15 cm
B. 33 cm
C. 45 cm
D. 54 cm
Answer:
a
Step-by-step explanation:
What value of g makes the equation true?
(xt7)(x-4)=x2+gx-28
Answer:
g = 3
Step-by-step explanation:
If you distribute (x+7)(x-4) you get:
x²+3x-28
Compare it to the question:
x²+gx-28
and it becomes obvious that g = 3
The solution is, the value of g makes the equation true is, g = 3.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
from the given information we get,
If you distribute (x+7)(x-4) you get:
x²+3x-28
Compare it to the question:
x²+gx-28
and it becomes obvious that g = 3
Hence, The solution is, the value of g makes the equation true is, g = 3.
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Answer:
280
Step-by-step explanation:
Which binomials are a difference of squares?
Choose exactly two correct answers.
y4 + 9
9x2 – 16
m6 – 25
p7 – 1
Final answer:
The binomials that are a difference of squares are [tex]9x^2 - 16[/tex] and [tex]m^6 - 25[/tex], as both can be factored into the form (a + b)(a - b).
Explanation:
The question asks which binomials are a difference of squares. A difference of squares is a binomial in the form [tex]a^2 - b^2[/tex], which can be factored into (a + b)(a - b). Analyzing the given options:
[tex]y^4 + 9[/tex]: This is not a difference, it's a sum.
[tex]9x^2 - 16[/tex]: This is a difference of squares because [tex]9x^2 = (3x)^2[/tex] and 16 = [tex]4^2[/tex].
[tex]m^6 - 25[/tex]: This is a difference of squares because [tex]m^6 = (m3)^2[/tex] and [tex]25 = 5^2[/tex].
[tex]p^7 - 1[/tex]: This is not a difference of perfect squares; [tex]p^7[/tex] is not a perfect square.
Therefore, the binomials that are a difference of squares are [tex]9x^2 - 16[/tex] and [tex]m^6 - 25[/tex].
A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one balloon at random. What is the probability of choosing a PINK balloon?
Probability of choosing pink balloon is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
Given,
Number of green balloons = 5
Number of yellow balloons = 3
Number of red balloons = 4
Number of pink balloons = 8
Total number of balloons = 5+3+4+8 = 20
To find the probability of pink balloon.
Formula
Probability of an even = number of outcomes ÷ total number of outcomes
So,
Probability of choosing pink balloon = [tex]\frac{8}{20}[/tex] = [tex]\frac{2}{5}[/tex]