The bill for the month is $87.50, including $40 for 600 minutes and $47.50 for 190 extra minutes.
To calculate the bill for the month, we need to consider the fixed monthly charge and the additional charge for the extra minutes used beyond the 600-minute limit.
Step 1: Calculate the additional minutes used beyond the 600-minute limit:
Total minutes used - Included minutes = Extra minutes
790 minutes - 600 minutes = 190 extra minutes
Step 2: Calculate the additional charge for the extra minutes:
Extra minutes × Additional charge per minute
190 minutes × $0.25/minute = $47.50
Step 3: Add the fixed monthly charge to the additional charge for the extra minutes:
Fixed monthly charge + Additional charge for extra minutes
$40 + $47.50 = $87.50
So, the bill for the month is $87.50.
How many x intercepts appear on the graph of this polynomial function? F(x)=x^4-5^2.
1 x intercept
2 x intercepts
3 x intercepts
4 x intercepts
The students at a school assembly were divided into 4 equal groups. There were 63 students in each group. Write and solve an equation to determine the number of students that were at the assembly. use x as the variable.
equation _______
_______students
The front of a storage bunker can be modeled by y=-5/216(x-72)(x+72), where x and y are measured in inches. The x axis represents the ground. Find the width of the bunker at ground level.
The width of the bunker at ground level is 14.58 inches.
Explanation:The x-axis is the ground level, so the y-axis must be the scale for the length. Using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground-level width.
The width of the bunker at ground level can be found by substituting x = 0 into the equation y = -5/216(x-72)(x+72).
This equation represents a quadratic function, which means it is a parabola.
By substituting x = 0, we get y = -5/216(-72)(72)
= 14.58 inches.
A hotel is in the shape of a square pyramid. Each side of the base is 183 meters long and the height is 110 meters. What is the hotel's volume? Enter your answer in the box
Answer:
1,227,930 m²
Step-by-step explanation:
We are given that,
Base of the pyramid = 183 meter
Height = 110 meter.
Since, we know,
Volume of a square pyramid = [tex]Base^2\times \frac{Height}{3}[/tex]
We have,
Volume of the square pyramid = [tex]183^2\times \frac{110}{3}[/tex]
i.e. Volume of the square pyramid = [tex]33489\times 36.667[/tex]
i.e. Volume of the square pyramid = 1,227,930 m²
Hence, the volume of the square pyramid is 1,227,930 m².
Which model shows the correct factorization of x2 + 2x - 8
The correct answer is D.
I just took the test.
Find the 5th partial sum of the arithmetic sequence an=2n–3.
What is the difference between the absolute value of –8 and the absolute value of 6?
2
8
14
16
Answer:
It will be A. (2)
Step-by-step explanation:
Because its the only answer that makes sense plus i got it right :3
Click on ALL the values for n that make this inequality true. There maybe more than one answer.
[tex]120 \geq 10n + 20[/tex]
Possible Answers:
You can divide by 10 and subtract 2.
12 ≥ n + 2 . . . . . . divide by 10
10 ≥ n . . . . . . . . . subtract 2
The values that will make the inequality true are those that are 10 or less, including 0 and all negative numbers.
A circle is divided into parts. Which sum could represent the angle measures that make up the circle?
A circle is always going to be 360°.
Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
Answer:
0.304 oz.
Step-by-step explanation:
We are asked to convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
We know that 1 cubic centimeter equals 0.033814 fluid ounces. To convert 9 cubic centimeters to fluid ounces, we will multiply 9 by 0.033814.
[tex]\text{9 cm}^3=\text{9 cm}^3\times \frac{\text{0.033814 oz}}{\text{cm}^3}[/tex]
[tex]\text{9 cm}^3=9\times \text{0.033814 oz}[/tex]
[tex]\text{9 cm}^3=0.304326\text{ oz}[/tex]
[tex]\text{9 cm}^3\approx 0.304\text{ oz}[/tex]
Therefore, 9 cubic centimeters equals 0.304 fluid ounces to the nearest thousandth.
Analyze the key features of the graphs of the functions below. Select all of the quadratic functions that open down, have a vertex that is a maximum and a positive y-intercept.
The Choices are
F(x)=2x^2-4x-3
G(x)= -x^2+x+1
H(x)= -2x^2+3x-1
M(x)=x^2-9
N(x)= -3x^2+7
Out of the options provided, only G(x) = -x^2 + x + 1 fits the conditions asked in the question. It is a quadratic function that opens downward, has a vertex that is a maximum, and a positive y-intercept.
Explanation:The key features of a quadratic function are determined by its equation: f(x) = ax2 + bx + c. The sign of 'a' determines whether the function opens up or down. If 'a' is positive, the graph opens up, and if 'a' is negative, it opens down. The vertex of a quadratic function is given by the formula (-b/2a , f(-b/2a)). If 'a' is negative, this vertex will be a maximum. The y-intercept of the function is the value of 'c' in the quadratic equation. According to the conditions provided, we can classify the given functions.
f(x) = 2x2 - 4x - 3 opens upward and has a negative y-intercept; it’s not in the selection.G(x) = -x2 + x + 1 opens downward, has a maximum vertex, and a positive y-intercept. It fits the conditions.H(x) = -2x2 + 3x - 1 opens downward and has a maximum vertex, but has a negative y-intercept, so it’s not in the selection.M(x) = x2 - 9 opens upward and has a negative y-intercept; it’s not in the classification.N(x) = -3x2 +7 opens downward and has a maximum vertex, but it does not mention whether there is a positive y-intercept; so it’s unclear.
Learn more about Quadratic Functions here:
https://brainly.com/question/35505962
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The figures shows the show the dimension of a tennis court and a basketball court given in term of the width x in feet.
Which of the following is the correct way to name the entire figure shown? A line has 4 points. From left to right, the points are M, unlabeled point, unlabeled point, N. (1 point) Modifying Above Upper M Upper N with two-way-arrow The image shows a ray MN. Modifying Above Upper M Upper N with bar
Olive has read 79 pages of her book. Which equation shows how many more pages she has to read?
Which statement about g in quadrilateral WXYZ is correct?
A. g=360°−(45°+170°+80°)
B. g=45°
C. g=180°+80°
D. g cannot be determined because you do not know what type of quadrilateral WXYZ is.
The graph below shows the solution to a system of inequalities
Which of the following inequalities is modeled by the graph?
A. x + 4y ≥ 15; y ≥ 0
B.x − 4y ≥ 15; y ≥ 0
C.x + 4y ≤ 15; y ≥ 0
D.−x − 4y ≥ 15; y ≥ 0
Find the distance from the point p(4, −1, 1) to the line x = 1 + 2t, y = 3t, z5 − 7t
Simplify fraction 26/39
Finn imagines 1 more row of nines to find the total area of 9 * 9 rectangle. explain how this could help him solve 9 * 9
Find the first five non-zero terms of taylor series centered at x=3x=3 for the function below. f(x)=6x−x2−−−−−−√ f(x)=6x−x2
PLEASE ANSWER FAST I NEED ANSWER QUICK!!!
To estimate 103% of 63, Rich rounded 103% down to 100%, 63 down to 60, and multiplied 60 by 1 to get 60. Which of these statements is correct?
A) Rich’s estimate is reasonable because it should be less than 63.
B) Rich’s estimate is reasonable because it should be greater than 63.
C) Rich’s estimate is unreasonable because it should be less than 63.
D) Rich’s estimate is unreasonable because it should be greater than 63.
J read 147 pages in a book. He has completed 70% of the book. How many more pages does he need to read to finish the book.
select all expressions thr equal 3.15/0.45
a carpenter and helper can do a certain job in 18 days if the carpenter takes walks 1.5 times as fast as the helper how long would it take each working alone?
Answer:
i dunno know
Step-by-step explanation:
2+2=FISH
Compare the two fractions. Use >, <, or =.
1st fraction, 2/3
2nd fraction, 4/6
select the locations on the number line to plot the points _2 _11 and _17
Write, and show on a number line, the set of all the numbers that are:
greater than (−3) and less than 3.
Please help with this question!
Ari has been paying attention to the number of calories she burns while exercising. One day she spent 3 hours hiking, and 4 canoeing, and she calculated that she burned 2338 calories. The next day, she hiked for 7 hours and canoed for one hour, and she calculated that she burned 3322 calories. How many calories per hour does Ari burn doing each exercise?
By setting up a system of equations, we find that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
To determine the number of calories Ari burns per hour doing each exercise, we need to set up a system of equations based on the given information. Let x represent the number of calories burned per hour hiking, and y represent the number of calories burned per hour canoeing.
We are given two situations:
3 hours of hiking and 4 hours of canoeing burn 2338 calories: 3x + 4y = 2338.
7 hours of hiking and 1 hour of canoeing burn 3322 calories: 7x + y = 3322.
We have the following system of equations:
3x + 4y = 2338
7x + y = 3322
To solve the system, we can first multiply the second equation by 4 to eliminate y:
4(7x + y) = 4(3322)
28x + 4y = 13288
Now, subtract the first equation from this result:
(28x + 4y) - (3x + 4y) = 13288 - 2338
25x = 10950
x = 10950 / 25
x = 438
Ari burns 438 calories per hour hiking.
To find y, substitute x = 438 into the first equation:
3(438) + 4y = 2338
1314 + 4y = 2338
4y = 2338 - 1314
4y = 1024
y = 256
Ari burns 256 calories per hour canoeing.
Thus, the results reveal that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
A punch recipe requires 4/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?
help please...........
Given the volume of Wesley's cube = 8 cubic centimeters.
We know the formula for volume of cube is given as follows :-
Volume of cube = (side) x (side) x (side)
8 = (side)³
side = [tex]\sqrt[3]{8} =\sqrt[3]{2*2*2} =2[/tex]
Hence, Wesley's cube dimensions are 2 centimeters.
The square must have side length as 2 centimeters.
If smallest square G represents 1 centimeters, then clearly it is H = 2 centimeters.
So, square H is the final answer.