Answer:
A:
The average cost per person is always greater than $630 because of the fee for the tour guide.
The average cost per person is always greater than $630 because of the fee for the tour guide.
What is a function?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
How do you write a function?You write functions with the function name followed by the dependent variable.
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The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the volume of the ice cream cone in cubic centimeters?
We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.
We will use volume of cone formula to solve our given problem.
[tex]V=\frac{1}{3}\pi r^2 h[/tex], where
r = Radius of cone,
h = Height of cone.
We know that diameter is two times the radius, so radius will be half of diameter that is [tex]r=\frac{7}{2}[/tex].
[tex]V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10[/tex]
[tex]V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10[/tex]
[tex]V=128.2817[/tex]
[tex]V\approx 128.3[/tex]
Therefore, the volume of the cone would be approximately 128.3 cubic cm.
PLEASE HELP ASAP!!!!!!! 1. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answer:
V: 700
Step-by-step explanation:
refer to the pics. please rate and thumbs up
A square plaza at a train station has a side length as
shown. Which expression represents the area of the
plaza in square meters?
2x + 6
O x² +9
6x + 9
O x2 + 6x + 9
The answer is D. x2 + 6x + 9 i just took the assignment
Final answer:
The expression that represents the area of a square plaza with side length 2x + 3 is x^2 + 6x + 9.
Explanation:
The question is asking to determine the expression that represents the area of a square plaza. The formula to calculate the area of a square is the length of one side squared (s2). If the side length is represented by the expression 2x + 3, then the area will be (2x + 3)2. When this binomial is squared, it follows the formula (a + b)2 = a2 + 2ab + b2, which leads to (2x)2 + 2(2x)(3) + (3)2 = 4x2 + 12x + 9. So, the correct expression representing the area of the plaza is x2 + 6x + 9.
5.. A hemisphere has a radius of 9 centimeters. Find the volume of the hemisphere in cubic centimeters. Round to the
nearest tenth.
The volume of the hemisphere with a radius of 9 centimeters is 1526.8 cubic centimeters.
Explanation:To find the volume of the hemisphere with a radius of 9 centimeters, we use the formula for the volume of a sphere and then divide it by 2, because a hemisphere is half of a sphere. The volume V of a sphere is given by V = (4/3)πr³, where r is the radius.
Therefore, the volume of the hemisphere is V = ½ × (4/3)πr³. Plugging in the given radius:
V_hemisphere = ½ × (4/3)π × (9 cm)³
V_hemisphere = ½ × (4/3) × 3.1416 × 729 cm³
V_hemisphere = ½ × (4× 3.1416 × 243)
V_hemisphere = ½ × 3053.6288 cm³
V_hemisphere = 1526.8144 cm³
When rounded to the nearest tenth, the volume of the hemisphere is 1526.8 cm³.
Layla has 4 pounds of birdseed seeds. each day she feeds the robins 1/6 pounds of seedS. for how many days can she feed the Robbins
Answer:
24
Step-by-step explanation:
since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).
Hope this helps :) good luck
The two-way frequency table below shows data on a student's performance on a math test and that student's
gender for students in Ms. Matchenbacker's class.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Answer:
"female" and "pass" = 0.7368
"female" and "fail" = 0.2632
"male" and "pass" = 0..7368
"male" and "fail" = 0.2632
Step-by-step explanation:
To find the values for the row relative frequency, we just need to divide each value of the first table by the sum of the values of its respective row.
So, we will have that:
Relative value for "female" and "pass": 42 / (42 + 15) = 0.7368
Relative value for "female" and "fail": 15 / (42 + 15) = 0.2632
Relative value for "male" and "pass": 14 / (14 + 5) = 0..7368
Relative value for "male" and "fail": 5 / (14 + 5) = 0.2632
The two-way table of row relative frequencies should be completed as follows;
Pass Fail Row total
Female 0.74 0.26 1.00
Male 0.74 0.26 1.00
How to complete two-way table of row relative frequencies?In order to determine each of the values for the row relative frequency, we would have to divide each value in the column by the sum of the values in the corresponding row of the two-way frequency table;
Relative frequency for "female" and "pass" is given by:
42/(42 + 15) = 0.7368 ≈ 0.74.
Relative frequency for "female" and "fail" is given by:
15/(42 + 15) = 0.2632 ≈ 0.26.
Relative frequency for "male" and "pass" is given by:
14/(14 + 5) = 0.7368 ≈ 0.74.
Relative frequency for "male" and "fail" is given by:
5/(14 + 5) = ≈ 0.26.
0.74 + 0.26 = 1.00
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y=13x − 1x − 3y = 5
What is the solution to the system of equations shown above?
Answer:
(5/3,5)
Step-by-step explanation:
The solution to the system of equations y = 13x - 1 and y = 5 is (6/13, 5).
To find the solution to the system of equations y = 13x - 1 and y = 5, we can substitute the second equation directly into the first one. Since both equations equal y, they must equal each other, thus:
13x - 1 = 5.
We can then solve for x:
Add 1 to both sides: 13x = 6
Divide both sides by 13: x = 6/13
Having determined the value of x to be 6/13, we can substitute this back into either equation to find y. Using the simpler one, y = 5.
Thus, the solution to the system of equations is (6/13, 5).
Determine which equation is belongs to the graph of the limacon curve below.
Answer: Option C.
Step-by-step explanation:
We have functions of r(θ)
In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.
We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.
Then let's analyze the options:
A) r = 3 - 2*cos(θ)
the maximum is at the right angle, but the maximum is:
r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.
B) r = 3 - sin(θ)
For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.
C) r = 3 - cos(θ)
The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.
the minimum is r = 3 - 1 = 2,
this is a possible equation for our circle.
D) r = 2 - 2*cos(θ)
Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.
So the only option that makes sense is option C.
Find the distance between (-4,10) and (0,12)
Answer:
Approximately 4.47 or the square root of 20.
Step-by-step explanation:
use distance formula
I need help with this maths equation
Answer: The length of the side of a square is 20 cm.
Step-by-step explanation:
Part 1: Find the x
First, you know that all sides of a square are equal, therefore, these two equations should be equal.
6x - 1 = 4x+6
Now, you simplify.
You would move whichever like term you want (either 6x over to the side of 4x (or vice versa) or -1 to the side of the 6 (or vice versa)
In my case, I will move 4x over to the other side.
Now I have:
6x - 4x -1 = 6
You can subtract like terms, in this case 6x and 4x:
2x - 1 = 6
Now you do the same, just with the constant numbers.
You would move over the -1 to try isolate the variable. (Keep in mind that the sign (positive or negative) changes when you move it to the other side.
2x = 6 +1
2x = 7
Then, you want to leave x by itself, so you have to divided 2x by 2. What you do to that side, you have to do to the other side.
2x/2 = 7/2
x = 3.5
Part 2: Plugging x into the equation
Now, since you have to x, you have to put it in any of the equations. Keep on mind it doesn’t matter, since both sides are the same anyway.
I‘m going to use the side 6x -1.
You now have to subsitute 3.5 for the x.
You now have:
= 6 (3.5) -1
= 21 -1
= 20
Therefore, your side is equal to 20 cm.
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of the central angle for eating in the circle graph.
a.) 28.8°
b.) 288°
c.) 60°
d.) 21.6°
I think it's (a), can you just double check please? I never trusted myself with percents lol. Thanks in advance \(^v^)/
Answer:
28.8 °
Step-by-step explanation:
100% = 360 °
8% = [tex]\frac{8*360}{100}[/tex] = 28.8 °
05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Answer:
45
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
The Adeeva's gross monthly income is $5600. They have 18 remaining payments of $ 360 on a new car. They are applying for a 15-year, $142 comma 000 mortgage at 7.5%. The taxes and insurance on the house are $270 per month. The bank will only approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. What is 28% of Adevas income
Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.
Explanation:The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.
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One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 812, find the numbers.
Answer:
first number = 89second number = 534third number = 189Step-by-step explanation:
Let the first number be x
Given second number is 6 times a first number.
If first number is x then second number is 6*x = 6x
Given third number is 100 more than the first number
If first number is x then third number is x+100 = x+100
Sum of these three numbers in terms of x
is
sum = x+ 6x+x+100 = 8x+100 __________1
Given, that sum of these numbers is 812.
equating 812 with equation 1 we have,
8x+100 = 812
=> 8x = 812- 100
=> 8x = 712
=> x = 712/8 = 89.
Therefore,
first number = x = 89
second number = 6x = 89*6= 534
third number = x+100 = 89+100 = 189
The three numbers in the problem are 89, 534, and 189. We found these by defining the first number as x, creating equations based on the given relationships, and solving for x.
Let's define the first number as x. According to the problem, the second number would be 6x (as it is 6 times the first number), and the third number would be x + 100 (as it is 100 more than the first number). The sum of these three numbers is given as 812. So, we can set up the equation:
x + 6x + (x + 100) = 812
Combine like terms to simplify the equation:
8x + 100 = 812
Subtract 100 from both sides of the equation:
8x = 712
Divide both sides by 8 to find the value of x:
x = 89
Now that we have the value of the first number, we can find the other two numbers:
The second number is 6 times 89, which is 534.
The third number is 89 + 100, which is 189.
Therefore, the three numbers are 89, 534, and 189.
Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female babies? minus0.2 in.less thanmu 1minusmu 2less than1.7 in.
found the answer, it suggests there is no difference in the length between male and female babies
Answer:
The example stated indicate that there is no difference in the means of the two samples
Step-by-step explanation:
Solution
Recall that
The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,
Male babies= sample 1
Female babies = sample 2
What is the difference in length between male and female babies as suggested by the Confidence interval
Now,
The calculated Confidence interval is given as:
-0.2 < mu1 - mu2 < 1.7
So,
0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples
Yoo i need help!!
Which are solutions of the equation x2 – 16 = 0? Check all that apply.
x = –8
x = –4
x = –2
x = 2
x = 4
x = 8
Answer: B) -4 and E) 4
Step-by-step explanation:
Edg 2022
how many times can 1800750 go into 6
Answer:
0 times, it's too big of a number to go into 6.
What is the slope of the line represented by y=-2x+1?
Answer:
-2 is the slope of the line
Step-by-step explanation:
The slope is what number you are multiplying x by in the equation. In the equation, x is being multiplied by -2. Therefore, the slope of the line represented by the equation is -2.
Can you plz help me?
Answer:
sure
Step-by-step explanation:
with what
A sign company is creating a pennant in thr shape of an equilateral triangle. The length of each side is 12 inches. What is the altitude length so the company will know what size box to ship the pennant in?
Answer:24 in
Step-by-step explanation:
the answer is 6 sqrt 3 my shlime
What is the solution of StartRoot 2 x + 4 EndRoot = 16?
We start with
[tex]\sqrt{2x+4}=16[/tex]
Since both sides of the equality are positive, we can square them to get
[tex]2x+4=256[/tex]
Subtract 4 from both sides and then divide both sides by 2:
[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]
Answer:
x=126
Step-by-step explanation:
someone help please? 25 points
Answer:
Letter A is 12*12*12*12*12*12*12*12*12*12*12*12*12*12*12=180
Letter B is y , x = 2
Step-by-step explanation:
1. Four times a number minus twenty-one is the same as six times
the number plus eleven. What is the number?
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
the table shows the value of a savings bond that doubles in value after 5 years. Which statement describes the bond
Answer: its C just took on edge
Step-by-step explanation:
EASY QUESTION
Focus on question 5
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Remember the formulas for volume, and you're golden.
a) V(prism) = area of base * height
= 12 cm^2 * 7 cm = 84 cm^3
b) V(prism) = area of base * height
= 88 cm^2 * 160 cm = 14080 cm^3
c) V(cylinder) = area of base * height
= 54 cm^2 * 1.5 cm = 81 cm^3
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Fred is going to take a flight from miami
Answer:
I think it is 7hours and 15 min
Step-by-step explanation:
add (9+5)+(3+2)
this needs to be simplified
Answer:
19
Step-by-step explanation:
[tex](9 + 5) + (3 + 2) \\ = (14) + (5) \\ = 19[/tex]
students are voting on the color of T-shirts to wear on their field trip. there are 160 students- 65 boys and 95-girls on the field trip. a random sample of students is chosen. surveying the random people produced a representative sample of the population. which was most likely of the representative sample?
a) the representative sample contained all 160 students
b) the representative sample contained more boys than girls
c) the representative sample contained more girls than boys.
d) the representative sample contained an equal number of boys and girls
Answer: Option C
( C ) The representative sample contained more girls than boys.
Step-by-step explanation:
OOOOOOOF. HELP ME AND BRAINLIEST AND ALL POINTS GIVEAWAY
Answer:
54 square units
Step-by-step explanation:
12 times 9 = 108
108 divided by 2 equals 54
Brent is making lasagna for Tim and sandy.Brent wants each person to pick out a share of the lasagna.Tim thinks if he takes one half of the lasagna he will have the largest share.Sandy thinks if she takes two sixths of the lasagna she will have the largest share.Who is correct.Use numbers and symbols to support your answer.
Answer:
Tim is correct.
Step-by-step explanation:
Tim is very simple , he wants 1/2 of the food.
Sandy wants 2/6 of the food, simplifying this to 1/3 to make the tops of both fractions line up.
1/2>1/3
Tim is correct as he has the larger piece